From d2c29f514ceea19d0a1af15a2d21f1158d3547a3 Mon Sep 17 00:00:00 2001
From: Francesco Biscani <bluescarni@gmail.com>
Date: Wed, 1 Jan 2025 10:28:23 +0100
Subject: [PATCH 1/6] Include private copy of the erfa library.
---
CMakeLists.txt | 8 +-
codecov.yml | 1 +
src/detail/erfa/.clang-tidy | 1 +
src/detail/erfa/CMakeLists.txt | 267 +
src/detail/erfa/a2af.c | 132 +
src/detail/erfa/a2tf.c | 128 +
src/detail/erfa/ab.c | 140 +
src/detail/erfa/ae2hd.c | 152 +
src/detail/erfa/af2a.c | 121 +
src/detail/erfa/anp.c | 96 +
src/detail/erfa/anpm.c | 96 +
src/detail/erfa/apcg.c | 183 +
src/detail/erfa/apcg13.c | 186 +
src/detail/erfa/apci.c | 192 +
src/detail/erfa/apci13.c | 204 +
src/detail/erfa/apco.c | 286 +
src/detail/erfa/apco13.c | 290 +
src/detail/erfa/apcs.c | 236 +
src/detail/erfa/apcs13.c | 193 +
src/detail/erfa/aper.c | 164 +
src/detail/erfa/aper13.c | 183 +
src/detail/erfa/apio.c | 232 +
src/detail/erfa/apio13.c | 262 +
src/detail/erfa/atcc13.c | 146 +
src/detail/erfa/atccq.c | 145 +
src/detail/erfa/atci13.c | 161 +
src/detail/erfa/atciq.c | 154 +
src/detail/erfa/atciqn.c | 193 +
src/detail/erfa/atciqz.c | 155 +
src/detail/erfa/atco13.c | 246 +
src/detail/erfa/atic13.c | 154 +
src/detail/erfa/aticq.c | 201 +
src/detail/erfa/aticqn.c | 239 +
src/detail/erfa/atio13.c | 225 +
src/detail/erfa/atioq.c | 250 +
src/detail/erfa/atoc13.c | 237 +
src/detail/erfa/atoi13.c | 232 +
src/detail/erfa/atoiq.c | 264 +
src/detail/erfa/bi00.c | 129 +
src/detail/erfa/bp00.c | 184 +
src/detail/erfa/bp06.c | 155 +
src/detail/erfa/bpn2xy.c | 111 +
src/detail/erfa/c2i00a.c | 150 +
src/detail/erfa/c2i00b.c | 150 +
src/detail/erfa/c2i06a.c | 147 +
src/detail/erfa/c2ibpn.c | 153 +
src/detail/erfa/c2ixy.c | 142 +
src/detail/erfa/c2ixys.c | 134 +
src/detail/erfa/c2s.c | 107 +
src/detail/erfa/c2t00a.c | 165 +
src/detail/erfa/c2t00b.c | 161 +
src/detail/erfa/c2t06a.c | 163 +
src/detail/erfa/c2tcio.c | 133 +
src/detail/erfa/c2teqx.c | 133 +
src/detail/erfa/c2tpe.c | 178 +
src/detail/erfa/c2txy.c | 170 +
src/detail/erfa/cal2jd.c | 153 +
src/detail/erfa/cp.c | 91 +
src/detail/erfa/cpv.c | 93 +
src/detail/erfa/cr.c | 94 +
src/detail/erfa/d2dtf.c | 250 +
src/detail/erfa/d2tf.c | 172 +
src/detail/erfa/dat.c | 314 +
src/detail/erfa/dtdb.c | 1227 ++++
src/detail/erfa/dtf2d.c | 217 +
src/detail/erfa/eceq06.c | 145 +
src/detail/erfa/ecm06.c | 148 +
src/detail/erfa/ee00.c | 141 +
src/detail/erfa/ee00a.c | 148 +
src/detail/erfa/ee00b.c | 154 +
src/detail/erfa/ee06a.c | 135 +
src/detail/erfa/eect00.c | 296 +
src/detail/erfa/eform.c | 160 +
src/detail/erfa/eo06a.c | 144 +
src/detail/erfa/eors.c | 121 +
src/detail/erfa/epb.c | 119 +
src/detail/erfa/epb2jd.c | 103 +
src/detail/erfa/epj.c | 121 +
src/detail/erfa/epj2jd.c | 103 +
src/detail/erfa/epv00.c | 2603 ++++++++
src/detail/erfa/eqec06.c | 146 +
src/detail/erfa/eqeq94.c | 146 +
src/detail/erfa/era00.c | 150 +
src/detail/erfa/erfa.h | 589 ++
src/detail/erfa/erfadatextra.c | 93 +
src/detail/erfa/erfadatextra.h | 26 +
src/detail/erfa/erfaextra.h | 81 +
src/detail/erfa/erfam.h | 180 +
src/detail/erfa/erfaversion.c | 42 +
src/detail/erfa/fad03.c | 117 +
src/detail/erfa/fae03.c | 116 +
src/detail/erfa/faf03.c | 119 +
src/detail/erfa/faju03.c | 116 +
src/detail/erfa/fal03.c | 117 +
src/detail/erfa/falp03.c | 117 +
src/detail/erfa/fama03.c | 116 +
src/detail/erfa/fame03.c | 116 +
src/detail/erfa/fane03.c | 113 +
src/detail/erfa/faom03.c | 118 +
src/detail/erfa/fapa03.c | 116 +
src/detail/erfa/fasa03.c | 116 +
src/detail/erfa/faur03.c | 113 +
src/detail/erfa/fave03.c | 116 +
src/detail/erfa/fk425.c | 283 +
src/detail/erfa/fk45z.c | 213 +
src/detail/erfa/fk524.c | 295 +
src/detail/erfa/fk52h.c | 154 +
src/detail/erfa/fk54z.c | 154 +
src/detail/erfa/fk5hip.c | 138 +
src/detail/erfa/fk5hz.c | 172 +
src/detail/erfa/fw2m.c | 150 +
src/detail/erfa/fw2xy.c | 132 +
src/detail/erfa/g2icrs.c | 173 +
src/detail/erfa/gc2gd.c | 148 +
src/detail/erfa/gc2gde.c | 213 +
src/detail/erfa/gd2gc.c | 147 +
src/detail/erfa/gd2gce.c | 151 +
src/detail/erfa/gmst00.c | 159 +
src/detail/erfa/gmst06.c | 150 +
src/detail/erfa/gmst82.c | 164 +
src/detail/erfa/gst00a.c | 151 +
src/detail/erfa/gst00b.c | 159 +
src/detail/erfa/gst06.c | 153 +
src/detail/erfa/gst06a.c | 144 +
src/detail/erfa/gst94.c | 144 +
src/detail/erfa/h2fk5.c | 159 +
src/detail/erfa/hd2ae.c | 153 +
src/detail/erfa/hd2pa.c | 126 +
src/detail/erfa/hfk5z.c | 187 +
src/detail/erfa/icrs2g.c | 172 +
src/detail/erfa/ir.c | 94 +
src/detail/erfa/jd2cal.c | 212 +
src/detail/erfa/jdcalf.c | 187 +
src/detail/erfa/ld.c | 164 +
src/detail/erfa/ldn.c | 186 +
src/detail/erfa/ldsun.c | 117 +
src/detail/erfa/lteceq.c | 142 +
src/detail/erfa/ltecm.c | 162 +
src/detail/erfa/lteqec.c | 142 +
src/detail/erfa/ltp.c | 144 +
src/detail/erfa/ltpb.c | 138 +
src/detail/erfa/ltpecl.c | 182 +
src/detail/erfa/ltpequ.c | 182 +
src/detail/erfa/moon98.c | 615 ++
src/detail/erfa/num00a.c | 132 +
src/detail/erfa/num00b.c | 132 +
src/detail/erfa/num06a.c | 136 +
src/detail/erfa/numat.c | 120 +
src/detail/erfa/nut00a.c | 2059 ++++++
src/detail/erfa/nut00b.c | 384 ++
src/detail/erfa/nut06a.c | 165 +
src/detail/erfa/nut80.c | 337 +
src/detail/erfa/nutm80.c | 128 +
src/detail/erfa/obl06.c | 132 +
src/detail/erfa/obl80.c | 132 +
src/detail/erfa/p06e.c | 340 +
src/detail/erfa/p2pv.c | 94 +
src/detail/erfa/p2s.c | 102 +
src/detail/erfa/pap.c | 152 +
src/detail/erfa/pas.c | 109 +
src/detail/erfa/pb06.c | 163 +
src/detail/erfa/pdp.c | 97 +
src/detail/erfa/pfw06.c | 177 +
src/detail/erfa/plan94.c | 530 ++
src/detail/erfa/pm.c | 89 +
src/detail/erfa/pmat00.c | 129 +
src/detail/erfa/pmat06.c | 137 +
src/detail/erfa/pmat76.c | 153 +
src/detail/erfa/pmp.c | 96 +
src/detail/erfa/pmpx.c | 156 +
src/detail/erfa/pmsafe.c | 208 +
src/detail/erfa/pn.c | 120 +
src/detail/erfa/pn00.c | 188 +
src/detail/erfa/pn00a.c | 174 +
src/detail/erfa/pn00b.c | 174 +
src/detail/erfa/pn06.c | 199 +
src/detail/erfa/pn06a.c | 164 +
src/detail/erfa/pnm00a.c | 132 +
src/detail/erfa/pnm00b.c | 132 +
src/detail/erfa/pnm06a.c | 136 +
src/detail/erfa/pnm80.c | 137 +
src/detail/erfa/pom00.c | 126 +
src/detail/erfa/ppp.c | 96 +
src/detail/erfa/ppsp.c | 105 +
src/detail/erfa/pr00.c | 154 +
src/detail/erfa/prec76.c | 160 +
src/detail/erfa/pv2p.c | 92 +
src/detail/erfa/pv2s.c | 155 +
src/detail/erfa/pvdpv.c | 113 +
src/detail/erfa/pvm.c | 97 +
src/detail/erfa/pvmpv.c | 98 +
src/detail/erfa/pvppv.c | 98 +
src/detail/erfa/pvstar.c | 219 +
src/detail/erfa/pvtob.c | 165 +
src/detail/erfa/pvu.c | 104 +
src/detail/erfa/pvup.c | 99 +
src/detail/erfa/pvxpv.c | 118 +
src/detail/erfa/pxp.c | 105 +
src/detail/erfa/refco.c | 269 +
src/detail/erfa/rm2v.c | 122 +
src/detail/erfa/rv2m.c | 129 +
src/detail/erfa/rx.c | 121 +
src/detail/erfa/rxp.c | 110 +
src/detail/erfa/rxpv.c | 103 +
src/detail/erfa/rxr.c | 110 +
src/detail/erfa/ry.c | 121 +
src/detail/erfa/rz.c | 121 +
src/detail/erfa/s00.c | 385 ++
src/detail/erfa/s00a.c | 156 +
src/detail/erfa/s00b.c | 156 +
src/detail/erfa/s06.c | 382 ++
src/detail/erfa/s06a.c | 158 +
src/detail/erfa/s2c.c | 96 +
src/detail/erfa/s2p.c | 99 +
src/detail/erfa/s2pv.c | 114 +
src/detail/erfa/s2xpv.c | 98 +
src/detail/erfa/sepp.c | 118 +
src/detail/erfa/seps.c | 106 +
src/detail/erfa/sp00.c | 132 +
src/detail/erfa/starpm.c | 219 +
src/detail/erfa/starpv.c | 278 +
src/detail/erfa/sxp.c | 95 +
src/detail/erfa/sxpv.c | 96 +
src/detail/erfa/t_erfa_c.c | 10331 +++++++++++++++++++++++++++++
src/detail/erfa/t_erfa_c_extra.c | 181 +
src/detail/erfa/taitt.c | 124 +
src/detail/erfa/taiut1.c | 125 +
src/detail/erfa/taiutc.c | 172 +
src/detail/erfa/tcbtdb.c | 146 +
src/detail/erfa/tcgtt.c | 123 +
src/detail/erfa/tdbtcb.c | 151 +
src/detail/erfa/tdbtt.c | 135 +
src/detail/erfa/tf2a.c | 121 +
src/detail/erfa/tf2d.c | 121 +
src/detail/erfa/tpors.c | 183 +
src/detail/erfa/tporv.c | 180 +
src/detail/erfa/tpsts.c | 131 +
src/detail/erfa/tpstv.c | 155 +
src/detail/erfa/tpxes.c | 164 +
src/detail/erfa/tpxev.c | 184 +
src/detail/erfa/tr.c | 104 +
src/detail/erfa/trxp.c | 104 +
src/detail/erfa/trxpv.c | 110 +
src/detail/erfa/tttai.c | 124 +
src/detail/erfa/tttcg.c | 126 +
src/detail/erfa/tttdb.c | 135 +
src/detail/erfa/ttut1.c | 124 +
src/detail/erfa/ut1tai.c | 125 +
src/detail/erfa/ut1tt.c | 124 +
src/detail/erfa/ut1utc.c | 207 +
src/detail/erfa/utctai.c | 191 +
src/detail/erfa/utcut1.c | 160 +
src/detail/erfa/xy06.c | 2770 ++++++++
src/detail/erfa/xys00a.c | 144 +
src/detail/erfa/xys00b.c | 144 +
src/detail/erfa/xys06a.c | 144 +
src/detail/erfa/zp.c | 88 +
src/detail/erfa/zpv.c | 90 +
src/detail/erfa/zr.c | 94 +
259 files changed, 58939 insertions(+), 1 deletion(-)
create mode 100644 src/detail/erfa/.clang-tidy
create mode 100644 src/detail/erfa/CMakeLists.txt
create mode 100644 src/detail/erfa/a2af.c
create mode 100644 src/detail/erfa/a2tf.c
create mode 100644 src/detail/erfa/ab.c
create mode 100644 src/detail/erfa/ae2hd.c
create mode 100644 src/detail/erfa/af2a.c
create mode 100644 src/detail/erfa/anp.c
create mode 100644 src/detail/erfa/anpm.c
create mode 100644 src/detail/erfa/apcg.c
create mode 100644 src/detail/erfa/apcg13.c
create mode 100644 src/detail/erfa/apci.c
create mode 100644 src/detail/erfa/apci13.c
create mode 100644 src/detail/erfa/apco.c
create mode 100644 src/detail/erfa/apco13.c
create mode 100644 src/detail/erfa/apcs.c
create mode 100644 src/detail/erfa/apcs13.c
create mode 100644 src/detail/erfa/aper.c
create mode 100644 src/detail/erfa/aper13.c
create mode 100644 src/detail/erfa/apio.c
create mode 100644 src/detail/erfa/apio13.c
create mode 100644 src/detail/erfa/atcc13.c
create mode 100644 src/detail/erfa/atccq.c
create mode 100644 src/detail/erfa/atci13.c
create mode 100644 src/detail/erfa/atciq.c
create mode 100644 src/detail/erfa/atciqn.c
create mode 100644 src/detail/erfa/atciqz.c
create mode 100644 src/detail/erfa/atco13.c
create mode 100644 src/detail/erfa/atic13.c
create mode 100644 src/detail/erfa/aticq.c
create mode 100644 src/detail/erfa/aticqn.c
create mode 100644 src/detail/erfa/atio13.c
create mode 100644 src/detail/erfa/atioq.c
create mode 100644 src/detail/erfa/atoc13.c
create mode 100644 src/detail/erfa/atoi13.c
create mode 100644 src/detail/erfa/atoiq.c
create mode 100644 src/detail/erfa/bi00.c
create mode 100644 src/detail/erfa/bp00.c
create mode 100644 src/detail/erfa/bp06.c
create mode 100644 src/detail/erfa/bpn2xy.c
create mode 100644 src/detail/erfa/c2i00a.c
create mode 100644 src/detail/erfa/c2i00b.c
create mode 100644 src/detail/erfa/c2i06a.c
create mode 100644 src/detail/erfa/c2ibpn.c
create mode 100644 src/detail/erfa/c2ixy.c
create mode 100644 src/detail/erfa/c2ixys.c
create mode 100644 src/detail/erfa/c2s.c
create mode 100644 src/detail/erfa/c2t00a.c
create mode 100644 src/detail/erfa/c2t00b.c
create mode 100644 src/detail/erfa/c2t06a.c
create mode 100644 src/detail/erfa/c2tcio.c
create mode 100644 src/detail/erfa/c2teqx.c
create mode 100644 src/detail/erfa/c2tpe.c
create mode 100644 src/detail/erfa/c2txy.c
create mode 100644 src/detail/erfa/cal2jd.c
create mode 100644 src/detail/erfa/cp.c
create mode 100644 src/detail/erfa/cpv.c
create mode 100644 src/detail/erfa/cr.c
create mode 100644 src/detail/erfa/d2dtf.c
create mode 100644 src/detail/erfa/d2tf.c
create mode 100644 src/detail/erfa/dat.c
create mode 100644 src/detail/erfa/dtdb.c
create mode 100644 src/detail/erfa/dtf2d.c
create mode 100644 src/detail/erfa/eceq06.c
create mode 100644 src/detail/erfa/ecm06.c
create mode 100644 src/detail/erfa/ee00.c
create mode 100644 src/detail/erfa/ee00a.c
create mode 100644 src/detail/erfa/ee00b.c
create mode 100644 src/detail/erfa/ee06a.c
create mode 100644 src/detail/erfa/eect00.c
create mode 100644 src/detail/erfa/eform.c
create mode 100644 src/detail/erfa/eo06a.c
create mode 100644 src/detail/erfa/eors.c
create mode 100644 src/detail/erfa/epb.c
create mode 100644 src/detail/erfa/epb2jd.c
create mode 100644 src/detail/erfa/epj.c
create mode 100644 src/detail/erfa/epj2jd.c
create mode 100644 src/detail/erfa/epv00.c
create mode 100644 src/detail/erfa/eqec06.c
create mode 100644 src/detail/erfa/eqeq94.c
create mode 100644 src/detail/erfa/era00.c
create mode 100644 src/detail/erfa/erfa.h
create mode 100644 src/detail/erfa/erfadatextra.c
create mode 100644 src/detail/erfa/erfadatextra.h
create mode 100644 src/detail/erfa/erfaextra.h
create mode 100644 src/detail/erfa/erfam.h
create mode 100644 src/detail/erfa/erfaversion.c
create mode 100644 src/detail/erfa/fad03.c
create mode 100644 src/detail/erfa/fae03.c
create mode 100644 src/detail/erfa/faf03.c
create mode 100644 src/detail/erfa/faju03.c
create mode 100644 src/detail/erfa/fal03.c
create mode 100644 src/detail/erfa/falp03.c
create mode 100644 src/detail/erfa/fama03.c
create mode 100644 src/detail/erfa/fame03.c
create mode 100644 src/detail/erfa/fane03.c
create mode 100644 src/detail/erfa/faom03.c
create mode 100644 src/detail/erfa/fapa03.c
create mode 100644 src/detail/erfa/fasa03.c
create mode 100644 src/detail/erfa/faur03.c
create mode 100644 src/detail/erfa/fave03.c
create mode 100644 src/detail/erfa/fk425.c
create mode 100644 src/detail/erfa/fk45z.c
create mode 100644 src/detail/erfa/fk524.c
create mode 100644 src/detail/erfa/fk52h.c
create mode 100644 src/detail/erfa/fk54z.c
create mode 100644 src/detail/erfa/fk5hip.c
create mode 100644 src/detail/erfa/fk5hz.c
create mode 100644 src/detail/erfa/fw2m.c
create mode 100644 src/detail/erfa/fw2xy.c
create mode 100644 src/detail/erfa/g2icrs.c
create mode 100644 src/detail/erfa/gc2gd.c
create mode 100644 src/detail/erfa/gc2gde.c
create mode 100644 src/detail/erfa/gd2gc.c
create mode 100644 src/detail/erfa/gd2gce.c
create mode 100644 src/detail/erfa/gmst00.c
create mode 100644 src/detail/erfa/gmst06.c
create mode 100644 src/detail/erfa/gmst82.c
create mode 100644 src/detail/erfa/gst00a.c
create mode 100644 src/detail/erfa/gst00b.c
create mode 100644 src/detail/erfa/gst06.c
create mode 100644 src/detail/erfa/gst06a.c
create mode 100644 src/detail/erfa/gst94.c
create mode 100644 src/detail/erfa/h2fk5.c
create mode 100644 src/detail/erfa/hd2ae.c
create mode 100644 src/detail/erfa/hd2pa.c
create mode 100644 src/detail/erfa/hfk5z.c
create mode 100644 src/detail/erfa/icrs2g.c
create mode 100644 src/detail/erfa/ir.c
create mode 100644 src/detail/erfa/jd2cal.c
create mode 100644 src/detail/erfa/jdcalf.c
create mode 100644 src/detail/erfa/ld.c
create mode 100644 src/detail/erfa/ldn.c
create mode 100644 src/detail/erfa/ldsun.c
create mode 100644 src/detail/erfa/lteceq.c
create mode 100644 src/detail/erfa/ltecm.c
create mode 100644 src/detail/erfa/lteqec.c
create mode 100644 src/detail/erfa/ltp.c
create mode 100644 src/detail/erfa/ltpb.c
create mode 100644 src/detail/erfa/ltpecl.c
create mode 100644 src/detail/erfa/ltpequ.c
create mode 100644 src/detail/erfa/moon98.c
create mode 100644 src/detail/erfa/num00a.c
create mode 100644 src/detail/erfa/num00b.c
create mode 100644 src/detail/erfa/num06a.c
create mode 100644 src/detail/erfa/numat.c
create mode 100644 src/detail/erfa/nut00a.c
create mode 100644 src/detail/erfa/nut00b.c
create mode 100644 src/detail/erfa/nut06a.c
create mode 100644 src/detail/erfa/nut80.c
create mode 100644 src/detail/erfa/nutm80.c
create mode 100644 src/detail/erfa/obl06.c
create mode 100644 src/detail/erfa/obl80.c
create mode 100644 src/detail/erfa/p06e.c
create mode 100644 src/detail/erfa/p2pv.c
create mode 100644 src/detail/erfa/p2s.c
create mode 100644 src/detail/erfa/pap.c
create mode 100644 src/detail/erfa/pas.c
create mode 100644 src/detail/erfa/pb06.c
create mode 100644 src/detail/erfa/pdp.c
create mode 100644 src/detail/erfa/pfw06.c
create mode 100644 src/detail/erfa/plan94.c
create mode 100644 src/detail/erfa/pm.c
create mode 100644 src/detail/erfa/pmat00.c
create mode 100644 src/detail/erfa/pmat06.c
create mode 100644 src/detail/erfa/pmat76.c
create mode 100644 src/detail/erfa/pmp.c
create mode 100644 src/detail/erfa/pmpx.c
create mode 100644 src/detail/erfa/pmsafe.c
create mode 100644 src/detail/erfa/pn.c
create mode 100644 src/detail/erfa/pn00.c
create mode 100644 src/detail/erfa/pn00a.c
create mode 100644 src/detail/erfa/pn00b.c
create mode 100644 src/detail/erfa/pn06.c
create mode 100644 src/detail/erfa/pn06a.c
create mode 100644 src/detail/erfa/pnm00a.c
create mode 100644 src/detail/erfa/pnm00b.c
create mode 100644 src/detail/erfa/pnm06a.c
create mode 100644 src/detail/erfa/pnm80.c
create mode 100644 src/detail/erfa/pom00.c
create mode 100644 src/detail/erfa/ppp.c
create mode 100644 src/detail/erfa/ppsp.c
create mode 100644 src/detail/erfa/pr00.c
create mode 100644 src/detail/erfa/prec76.c
create mode 100644 src/detail/erfa/pv2p.c
create mode 100644 src/detail/erfa/pv2s.c
create mode 100644 src/detail/erfa/pvdpv.c
create mode 100644 src/detail/erfa/pvm.c
create mode 100644 src/detail/erfa/pvmpv.c
create mode 100644 src/detail/erfa/pvppv.c
create mode 100644 src/detail/erfa/pvstar.c
create mode 100644 src/detail/erfa/pvtob.c
create mode 100644 src/detail/erfa/pvu.c
create mode 100644 src/detail/erfa/pvup.c
create mode 100644 src/detail/erfa/pvxpv.c
create mode 100644 src/detail/erfa/pxp.c
create mode 100644 src/detail/erfa/refco.c
create mode 100644 src/detail/erfa/rm2v.c
create mode 100644 src/detail/erfa/rv2m.c
create mode 100644 src/detail/erfa/rx.c
create mode 100644 src/detail/erfa/rxp.c
create mode 100644 src/detail/erfa/rxpv.c
create mode 100644 src/detail/erfa/rxr.c
create mode 100644 src/detail/erfa/ry.c
create mode 100644 src/detail/erfa/rz.c
create mode 100644 src/detail/erfa/s00.c
create mode 100644 src/detail/erfa/s00a.c
create mode 100644 src/detail/erfa/s00b.c
create mode 100644 src/detail/erfa/s06.c
create mode 100644 src/detail/erfa/s06a.c
create mode 100644 src/detail/erfa/s2c.c
create mode 100644 src/detail/erfa/s2p.c
create mode 100644 src/detail/erfa/s2pv.c
create mode 100644 src/detail/erfa/s2xpv.c
create mode 100644 src/detail/erfa/sepp.c
create mode 100644 src/detail/erfa/seps.c
create mode 100644 src/detail/erfa/sp00.c
create mode 100644 src/detail/erfa/starpm.c
create mode 100644 src/detail/erfa/starpv.c
create mode 100644 src/detail/erfa/sxp.c
create mode 100644 src/detail/erfa/sxpv.c
create mode 100644 src/detail/erfa/t_erfa_c.c
create mode 100644 src/detail/erfa/t_erfa_c_extra.c
create mode 100644 src/detail/erfa/taitt.c
create mode 100644 src/detail/erfa/taiut1.c
create mode 100644 src/detail/erfa/taiutc.c
create mode 100644 src/detail/erfa/tcbtdb.c
create mode 100644 src/detail/erfa/tcgtt.c
create mode 100644 src/detail/erfa/tdbtcb.c
create mode 100644 src/detail/erfa/tdbtt.c
create mode 100644 src/detail/erfa/tf2a.c
create mode 100644 src/detail/erfa/tf2d.c
create mode 100644 src/detail/erfa/tpors.c
create mode 100644 src/detail/erfa/tporv.c
create mode 100644 src/detail/erfa/tpsts.c
create mode 100644 src/detail/erfa/tpstv.c
create mode 100644 src/detail/erfa/tpxes.c
create mode 100644 src/detail/erfa/tpxev.c
create mode 100644 src/detail/erfa/tr.c
create mode 100644 src/detail/erfa/trxp.c
create mode 100644 src/detail/erfa/trxpv.c
create mode 100644 src/detail/erfa/tttai.c
create mode 100644 src/detail/erfa/tttcg.c
create mode 100644 src/detail/erfa/tttdb.c
create mode 100644 src/detail/erfa/ttut1.c
create mode 100644 src/detail/erfa/ut1tai.c
create mode 100644 src/detail/erfa/ut1tt.c
create mode 100644 src/detail/erfa/ut1utc.c
create mode 100644 src/detail/erfa/utctai.c
create mode 100644 src/detail/erfa/utcut1.c
create mode 100644 src/detail/erfa/xy06.c
create mode 100644 src/detail/erfa/xys00a.c
create mode 100644 src/detail/erfa/xys00b.c
create mode 100644 src/detail/erfa/xys06a.c
create mode 100644 src/detail/erfa/zp.c
create mode 100644 src/detail/erfa/zpv.c
create mode 100644 src/detail/erfa/zr.c
diff --git a/CMakeLists.txt b/CMakeLists.txt
index 73fc10f70..290191779 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -373,7 +373,6 @@ if(HEYOKA_ENABLE_IPO)
else()
message(STATUS "IPO requested, but it is not supported by the compiler:\n${_HEYOKA_IPO_OUTPUT}")
endif()
- unset(_HEYOKA_IPO_RESULT)
unset(_HEYOKA_IPO_OUTPUT)
endif()
@@ -478,6 +477,10 @@ if(_HEYOKA_LLVM_STATIC_LINK AND HEYOKA_HIDE_LLVM_SYMBOLS)
unset(CMAKE_REQUIRED_QUIET)
endif()
+# Mandatory dependency on the internal erfa library.
+add_subdirectory(src/detail/erfa)
+target_link_libraries(heyoka PRIVATE heyoka_erfa)
+
# Mandatory dependency on fmt.
set(_HEYOKA_MIN_SUPPORTED_FMT_VERSION 9)
set(_HEYOKA_MAX_SUPPORTED_FMT_VERSION 11)
@@ -608,6 +611,9 @@ unset(_HEYOKA_WITH_REAL)
unset(_HEYOKA_LLVM_STATIC_LINK)
unset(_HEYOKA_MIN_SUPPORTED_FMT_VERSION)
unset(_HEYOKA_MAX_SUPPORTED_FMT_VERSION)
+if(HEYOKA_ENABLE_IPO)
+ unset(_HEYOKA_IPO_RESULT)
+endif()
if(HEYOKA_BUILD_TESTS)
enable_testing()
diff --git a/codecov.yml b/codecov.yml
index fff4aa151..cafee83d7 100644
--- a/codecov.yml
+++ b/codecov.yml
@@ -6,5 +6,6 @@ coverage:
- "src/detail/elp2000/.*"
- "include/heyoka/detail/tanuki*"
- "include/heyoka/detail/mdspan*"
+ - "src/detail/erfa/.*"
comment: off
diff --git a/src/detail/erfa/.clang-tidy b/src/detail/erfa/.clang-tidy
new file mode 100644
index 000000000..612bd0ee8
--- /dev/null
+++ b/src/detail/erfa/.clang-tidy
@@ -0,0 +1 @@
+Checks: '-*'
diff --git a/src/detail/erfa/CMakeLists.txt b/src/detail/erfa/CMakeLists.txt
new file mode 100644
index 000000000..a2dcdd3a5
--- /dev/null
+++ b/src/detail/erfa/CMakeLists.txt
@@ -0,0 +1,267 @@
+set(HEYOKA_ERFA_SRC_FILES
+ "${CMAKE_CURRENT_SOURCE_DIR}/a2af.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/a2tf.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ab.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ae2hd.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/af2a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/anp.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/anpm.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/apcg13.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/apcg.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/apci13.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/apci.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/apco13.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/apco.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/apcs13.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/apcs.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/aper13.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/aper.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/apio13.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/apio.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/atcc13.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/atccq.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/atci13.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/atciq.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/atciqn.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/atciqz.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/atco13.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/atic13.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/aticq.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/aticqn.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/atio13.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/atioq.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/atoc13.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/atoi13.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/atoiq.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/bi00.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/bp00.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/bp06.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/bpn2xy.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/c2i00a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/c2i00b.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/c2i06a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/c2ibpn.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/c2ixy.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/c2ixys.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/c2s.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/c2t00a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/c2t00b.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/c2t06a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/c2tcio.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/c2teqx.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/c2tpe.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/c2txy.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/cal2jd.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/cp.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/cpv.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/cr.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/d2dtf.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/d2tf.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/dat.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/dtdb.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/dtf2d.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/eceq06.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ecm06.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ee00a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ee00b.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ee00.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ee06a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/eect00.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/eform.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/eo06a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/eors.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/epb2jd.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/epb.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/epj2jd.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/epj.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/epv00.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/eqec06.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/eqeq94.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/era00.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/erfadatextra.c"
+ # "${CMAKE_CURRENT_SOURCE_DIR}/erfaversion.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fad03.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fae03.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/faf03.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/faju03.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fal03.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/falp03.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fama03.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fame03.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fane03.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/faom03.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fapa03.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fasa03.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/faur03.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fave03.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fk425.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fk45z.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fk524.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fk52h.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fk54z.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fk5hip.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fk5hz.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fw2m.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/fw2xy.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/g2icrs.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/gc2gd.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/gc2gde.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/gd2gc.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/gd2gce.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/gmst00.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/gmst06.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/gmst82.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/gst00a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/gst00b.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/gst06a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/gst06.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/gst94.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/h2fk5.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/hd2ae.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/hd2pa.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/hfk5z.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/icrs2g.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ir.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/jd2cal.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/jdcalf.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ld.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ldn.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ldsun.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/lteceq.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ltecm.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/lteqec.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ltpb.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ltp.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ltpecl.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ltpequ.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/moon98.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/num00a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/num00b.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/num06a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/numat.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/nut00a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/nut00b.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/nut06a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/nut80.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/nutm80.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/obl06.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/obl80.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/p06e.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/p2pv.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/p2s.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pap.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pas.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pb06.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pdp.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pfw06.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/plan94.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pmat00.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pmat06.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pmat76.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pm.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pmp.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pmpx.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pmsafe.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pn00a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pn00b.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pn00.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pn06a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pn06.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pn.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pnm00a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pnm00b.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pnm06a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pnm80.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pom00.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ppp.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ppsp.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pr00.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/prec76.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pv2p.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pv2s.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pvdpv.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pvm.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pvmpv.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pvppv.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pvstar.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pvtob.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pvu.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pvup.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pvxpv.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/pxp.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/refco.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/rm2v.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/rv2m.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/rx.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/rxp.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/rxpv.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/rxr.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ry.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/rz.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/s00a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/s00b.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/s00.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/s06a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/s06.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/s2c.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/s2p.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/s2pv.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/s2xpv.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/sepp.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/seps.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/sp00.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/starpm.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/starpv.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/sxp.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/sxpv.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/taitt.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/taiut1.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/taiutc.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tcbtdb.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tcgtt.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tdbtcb.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tdbtt.c"
+ # "${CMAKE_CURRENT_SOURCE_DIR}/t_erfa_c.c"
+ # "${CMAKE_CURRENT_SOURCE_DIR}/t_erfa_c_extra.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tf2a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tf2d.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tpors.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tporv.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tpsts.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tpstv.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tpxes.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tpxev.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tr.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/trxp.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/trxpv.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tttai.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tttcg.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/tttdb.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ttut1.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ut1tai.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ut1tt.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/ut1utc.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/utctai.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/utcut1.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/xy06.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/xys00a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/xys00b.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/xys06a.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/zp.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/zpv.c"
+ "${CMAKE_CURRENT_SOURCE_DIR}/zr.c"
+)
+
+add_library(heyoka_erfa STATIC "${HEYOKA_ERFA_SRC_FILES}")
+
+# Compile in C99 mode.
+target_compile_features(heyoka_erfa PRIVATE c_std_99)
+# Enforce vanilla C.
+set_property(TARGET heyoka_erfa PROPERTY C_EXTENSIONS NO)
+
+# IPO setup.
+if(HEYOKA_ENABLE_IPO)
+ if (_HEYOKA_IPO_RESULT)
+ set_property(TARGET heyoka_erfa PROPERTY INTERPROCEDURAL_OPTIMIZATION TRUE)
+ endif()
+endif()
diff --git a/src/detail/erfa/a2af.c b/src/detail/erfa/a2af.c
new file mode 100644
index 000000000..608e272d7
--- /dev/null
+++ b/src/detail/erfa/a2af.c
@@ -0,0 +1,132 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraA2af(int ndp, double angle, char *sign, int idmsf[4])
+/*
+** - - - - - - - -
+** e r a A 2 a f
+** - - - - - - - -
+**
+** Decompose radians into degrees, arcminutes, arcseconds, fraction.
+**
+** Given:
+** ndp int resolution (Note 1)
+** angle double angle in radians
+**
+** Returned:
+** sign char* '+' or '-'
+** idmsf int[4] degrees, arcminutes, arcseconds, fraction
+**
+** Notes:
+**
+** 1) The argument ndp is interpreted as follows:
+**
+** ndp resolution
+** : ...0000 00 00
+** -7 1000 00 00
+** -6 100 00 00
+** -5 10 00 00
+** -4 1 00 00
+** -3 0 10 00
+** -2 0 01 00
+** -1 0 00 10
+** 0 0 00 01
+** 1 0 00 00.1
+** 2 0 00 00.01
+** 3 0 00 00.001
+** : 0 00 00.000...
+**
+** 2) The largest positive useful value for ndp is determined by the
+** size of angle, the format of doubles on the target platform, and
+** the risk of overflowing idmsf[3]. On a typical platform, for
+** angle up to 2pi, the available floating-point precision might
+** correspond to ndp=12. However, the practical limit is typically
+** ndp=9, set by the capacity of a 32-bit int, or ndp=4 if int is
+** only 16 bits.
+**
+** 3) The absolute value of angle may exceed 2pi. In cases where it
+** does not, it is up to the caller to test for and handle the
+** case where angle is very nearly 2pi and rounds up to 360 degrees,
+** by testing for idmsf[0]=360 and setting idmsf[0-3] to zero.
+**
+** Called:
+** eraD2tf decompose days to hms
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Hours to degrees * radians to turns */
+ const double F = 15.0 / ERFA_D2PI;
+
+
+/* Scale then use days to h,m,s function. */
+ eraD2tf(ndp, angle*F, sign, idmsf);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/a2tf.c b/src/detail/erfa/a2tf.c
new file mode 100644
index 000000000..6ceeee0ac
--- /dev/null
+++ b/src/detail/erfa/a2tf.c
@@ -0,0 +1,128 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraA2tf(int ndp, double angle, char *sign, int ihmsf[4])
+/*
+** - - - - - - - -
+** e r a A 2 t f
+** - - - - - - - -
+**
+** Decompose radians into hours, minutes, seconds, fraction.
+**
+** Given:
+** ndp int resolution (Note 1)
+** angle double angle in radians
+**
+** Returned:
+** sign char* '+' or '-'
+** ihmsf int[4] hours, minutes, seconds, fraction
+**
+** Notes:
+**
+** 1) The argument ndp is interpreted as follows:
+**
+** ndp resolution
+** : ...0000 00 00
+** -7 1000 00 00
+** -6 100 00 00
+** -5 10 00 00
+** -4 1 00 00
+** -3 0 10 00
+** -2 0 01 00
+** -1 0 00 10
+** 0 0 00 01
+** 1 0 00 00.1
+** 2 0 00 00.01
+** 3 0 00 00.001
+** : 0 00 00.000...
+**
+** 2) The largest positive useful value for ndp is determined by the
+** size of angle, the format of doubles on the target platform, and
+** the risk of overflowing ihmsf[3]. On a typical platform, for
+** angle up to 2pi, the available floating-point precision might
+** correspond to ndp=12. However, the practical limit is typically
+** ndp=9, set by the capacity of a 32-bit int, or ndp=4 if int is
+** only 16 bits.
+**
+** 3) The absolute value of angle may exceed 2pi. In cases where it
+** does not, it is up to the caller to test for and handle the
+** case where angle is very nearly 2pi and rounds up to 24 hours,
+** by testing for ihmsf[0]=24 and setting ihmsf[0-3] to zero.
+**
+** Called:
+** eraD2tf decompose days to hms
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Scale then use days to h,m,s function. */
+ eraD2tf(ndp, angle/ERFA_D2PI, sign, ihmsf);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ab.c b/src/detail/erfa/ab.c
new file mode 100644
index 000000000..b132356a7
--- /dev/null
+++ b/src/detail/erfa/ab.c
@@ -0,0 +1,140 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraAb(double pnat[3], double v[3], double s, double bm1,
+ double ppr[3])
+/*
+** - - - - - -
+** e r a A b
+** - - - - - -
+**
+** Apply aberration to transform natural direction into proper
+** direction.
+**
+** Given:
+** pnat double[3] natural direction to the source (unit vector)
+** v double[3] observer barycentric velocity in units of c
+** s double distance between the Sun and the observer (au)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+**
+** Returned:
+** ppr double[3] proper direction to source (unit vector)
+**
+** Notes:
+**
+** 1) The algorithm is based on Expr. (7.40) in the Explanatory
+** Supplement (Urban & Seidelmann 2013), but with the following
+** changes:
+**
+** o Rigorous rather than approximate normalization is applied.
+**
+** o The gravitational potential term from Expr. (7) in
+** Klioner (2003) is added, taking into account only the Sun's
+** contribution. This has a maximum effect of about
+** 0.4 microarcsecond.
+**
+** 2) In almost all cases, the maximum accuracy will be limited by the
+** supplied velocity. For example, if the ERFA eraEpv00 function is
+** used, errors of up to 5 microarcseconds could occur.
+**
+** References:
+**
+** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to
+** the Astronomical Almanac, 3rd ed., University Science Books
+** (2013).
+**
+** Klioner, Sergei A., "A practical relativistic model for micro-
+** arcsecond astrometry in space", Astr. J. 125, 1580-1597 (2003).
+**
+** Called:
+** eraPdp scalar product of two p-vectors
+**
+** This revision: 2021 February 24
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int i;
+ double pdv, w1, w2, r2, w, p[3], r;
+
+
+ pdv = eraPdp(pnat, v);
+ w1 = 1.0 + pdv/(1.0 + bm1);
+ w2 = ERFA_SRS/s;
+ r2 = 0.0;
+ for (i = 0; i < 3; i++) {
+ w = pnat[i]*bm1 + w1*v[i] + w2*(v[i] - pdv*pnat[i]);
+ p[i] = w;
+ r2 = r2 + w*w;
+ }
+ r = sqrt(r2);
+ for (i = 0; i < 3; i++) {
+ ppr[i] = p[i]/r;
+ }
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ae2hd.c b/src/detail/erfa/ae2hd.c
new file mode 100644
index 000000000..b9e19a32c
--- /dev/null
+++ b/src/detail/erfa/ae2hd.c
@@ -0,0 +1,152 @@
+#include "erfa.h"
+
+void eraAe2hd (double az, double el, double phi,
+ double *ha, double *dec)
+/*
+** - - - - - - - - -
+** e r a A e 2 h d
+** - - - - - - - - -
+**
+** Horizon to equatorial coordinates: transform azimuth and altitude
+** to hour angle and declination.
+**
+** Given:
+** az double azimuth
+** el double altitude (informally, elevation)
+** phi double site latitude
+**
+** Returned:
+** ha double hour angle (local)
+** dec double declination
+**
+** Notes:
+**
+** 1) All the arguments are angles in radians.
+**
+** 2) The sign convention for azimuth is north zero, east +pi/2.
+**
+** 3) HA is returned in the range +/-pi. Declination is returned in
+** the range +/-pi/2.
+**
+** 4) The latitude phi is pi/2 minus the angle between the Earth's
+** rotation axis and the adopted zenith. In many applications it
+** will be sufficient to use the published geodetic latitude of the
+** site. In very precise (sub-arcsecond) applications, phi can be
+** corrected for polar motion.
+**
+** 5) The azimuth az must be with respect to the rotational north pole,
+** as opposed to the ITRS pole, and an azimuth with respect to north
+** on a map of the Earth's surface will need to be adjusted for
+** polar motion if sub-arcsecond accuracy is required.
+**
+** 6) Should the user wish to work with respect to the astronomical
+** zenith rather than the geodetic zenith, phi will need to be
+** adjusted for deflection of the vertical (often tens of
+** arcseconds), and the zero point of ha will also be affected.
+**
+** 7) The transformation is the same as Ve = Ry(phi-pi/2)*Rz(pi)*Vh,
+** where Ve and Vh are lefthanded unit vectors in the (ha,dec) and
+** (az,el) systems respectively and Rz and Ry are rotations about
+** first the z-axis and then the y-axis. (n.b. Rz(pi) simply
+** reverses the signs of the x and y components.) For efficiency,
+** the algorithm is written out rather than calling other utility
+** functions. For applications that require even greater
+** efficiency, additional savings are possible if constant terms
+** such as functions of latitude are computed once and for all.
+**
+** 8) Again for efficiency, no range checking of arguments is carried
+** out.
+**
+** Last revision: 2017 September 12
+**
+** ERFA release 2023-10-11
+**
+** Copyright (C) 2023 IAU ERFA Board. See notes at end.
+*/
+{
+ double sa, ca, se, ce, sp, cp, x, y, z, r;
+
+
+/* Useful trig functions. */
+ sa = sin(az);
+ ca = cos(az);
+ se = sin(el);
+ ce = cos(el);
+ sp = sin(phi);
+ cp = cos(phi);
+
+/* HA,Dec unit vector. */
+ x = - ca*ce*sp + se*cp;
+ y = - sa*ce;
+ z = ca*ce*cp + se*sp;
+
+/* To spherical. */
+ r = sqrt(x*x + y*y);
+ *ha = (r != 0.0) ? atan2(y,x) : 0.0;
+ *dec = atan2(z,r);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/af2a.c b/src/detail/erfa/af2a.c
new file mode 100644
index 000000000..5ce5515b4
--- /dev/null
+++ b/src/detail/erfa/af2a.c
@@ -0,0 +1,121 @@
+#include "erfa.h"
+#include "erfam.h"
+#include <stdlib.h>
+
+int eraAf2a(char s, int ideg, int iamin, double asec, double *rad)
+/*
+** - - - - - - - -
+** e r a A f 2 a
+** - - - - - - - -
+**
+** Convert degrees, arcminutes, arcseconds to radians.
+**
+** Given:
+** s char sign: '-' = negative, otherwise positive
+** ideg int degrees
+** iamin int arcminutes
+** asec double arcseconds
+**
+** Returned:
+** rad double angle in radians
+**
+** Returned (function value):
+** int status: 0 = OK
+** 1 = ideg outside range 0-359
+** 2 = iamin outside range 0-59
+** 3 = asec outside range 0-59.999...
+**
+** Notes:
+**
+** 1) The result is computed even if any of the range checks fail.
+**
+** 2) Negative ideg, iamin and/or asec produce a warning status, but
+** the absolute value is used in the conversion.
+**
+** 3) If there are multiple errors, the status value reflects only the
+** first, the smallest taking precedence.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+
+/* Compute the interval. */
+ *rad = ( s == '-' ? -1.0 : 1.0 ) *
+ ( 60.0 * ( 60.0 * ( (double) abs(ideg) ) +
+ ( (double) abs(iamin) ) ) +
+ fabs(asec) ) * ERFA_DAS2R;
+
+/* Validate arguments and return status. */
+ if ( ideg < 0 || ideg > 359 ) return 1;
+ if ( iamin < 0 || iamin > 59 ) return 2;
+ if ( asec < 0.0 || asec >= 60.0 ) return 3;
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/anp.c b/src/detail/erfa/anp.c
new file mode 100644
index 000000000..ebdb4bcd9
--- /dev/null
+++ b/src/detail/erfa/anp.c
@@ -0,0 +1,96 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraAnp(double a)
+/*
+** - - - - - - -
+** e r a A n p
+** - - - - - - -
+**
+** Normalize angle into the range 0 <= a < 2pi.
+**
+** Given:
+** a double angle (radians)
+**
+** Returned (function value):
+** double angle in range 0-2pi
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double w;
+
+
+ w = fmod(a, ERFA_D2PI);
+ if (w < 0) w += ERFA_D2PI;
+
+ return w;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/anpm.c b/src/detail/erfa/anpm.c
new file mode 100644
index 000000000..c7afc22d4
--- /dev/null
+++ b/src/detail/erfa/anpm.c
@@ -0,0 +1,96 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraAnpm(double a)
+/*
+** - - - - - - - -
+** e r a A n p m
+** - - - - - - - -
+**
+** Normalize angle into the range -pi <= a < +pi.
+**
+** Given:
+** a double angle (radians)
+**
+** Returned (function value):
+** double angle in range +/-pi
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double w;
+
+
+ w = fmod(a, ERFA_D2PI);
+ if (fabs(w) >= ERFA_DPI) w -= ERFA_DSIGN(ERFA_D2PI, a);
+
+ return w;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/apcg.c b/src/detail/erfa/apcg.c
new file mode 100644
index 000000000..d376cd7f2
--- /dev/null
+++ b/src/detail/erfa/apcg.c
@@ -0,0 +1,183 @@
+#include "erfa.h"
+
+void eraApcg(double date1, double date2,
+ double ebpv[2][3], double ehp[3],
+ eraASTROM *astrom)
+/*
+** - - - - - - - -
+** e r a A p c g
+** - - - - - - - -
+**
+** For a geocentric observer, prepare star-independent astrometry
+** parameters for transformations between ICRS and GCRS coordinates.
+** The Earth ephemeris is supplied by the caller.
+**
+** The parameters produced by this function are required in the
+** parallax, light deflection and aberration parts of the astrometric
+** transformation chain.
+**
+** Given:
+** date1 double TDB as a 2-part...
+** date2 double ...Julian Date (Note 1)
+** ebpv double[2][3] Earth barycentric pos/vel (au, au/day)
+** ehp double[3] Earth heliocentric position (au)
+**
+** Returned:
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double unchanged
+** xpl double unchanged
+** ypl double unchanged
+** sphi double unchanged
+** cphi double unchanged
+** diurab double unchanged
+** eral double unchanged
+** refa double unchanged
+** refb double unchanged
+**
+** Notes:
+**
+** 1) The TDB date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TDB)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** resolution. The MJD method and the date & time methods are both
+** good compromises between resolution and convenience. For most
+** applications of this function the choice will not be at all
+** critical.
+**
+** TT can be used instead of TDB without any significant impact on
+** accuracy.
+**
+** 2) All the vectors are with respect to BCRS axes.
+**
+** 3) This is one of several functions that inserts into the astrom
+** structure star-independent parameters needed for the chain of
+** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed.
+**
+** The various functions support different classes of observer and
+** portions of the transformation chain:
+**
+** functions observer transformation
+**
+** eraApcg eraApcg13 geocentric ICRS <-> GCRS
+** eraApci eraApci13 terrestrial ICRS <-> CIRS
+** eraApco eraApco13 terrestrial ICRS <-> observed
+** eraApcs eraApcs13 space ICRS <-> GCRS
+** eraAper eraAper13 terrestrial update Earth rotation
+** eraApio eraApio13 terrestrial CIRS <-> observed
+**
+** Those with names ending in "13" use contemporary ERFA models to
+** compute the various ephemerides. The others accept ephemerides
+** supplied by the caller.
+**
+** The transformation from ICRS to GCRS covers space motion,
+** parallax, light deflection, and aberration. From GCRS to CIRS
+** comprises frame bias and precession-nutation. From CIRS to
+** observed takes account of Earth rotation, polar motion, diurnal
+** aberration and parallax (unless subsumed into the ICRS <-> GCRS
+** transformation), and atmospheric refraction.
+**
+** 4) The context structure astrom produced by this function is used by
+** eraAtciq* and eraAticq*.
+**
+** Called:
+** eraApcs astrometry parameters, ICRS-GCRS, space observer
+**
+** This revision: 2013 October 9
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Geocentric observer */
+ double pv[2][3] = { { 0.0, 0.0, 0.0 },
+ { 0.0, 0.0, 0.0 } };
+
+
+/* Compute the star-independent astrometry parameters. */
+ eraApcs(date1, date2, pv, ebpv, ehp, astrom);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/apcg13.c b/src/detail/erfa/apcg13.c
new file mode 100644
index 000000000..750a5aecc
--- /dev/null
+++ b/src/detail/erfa/apcg13.c
@@ -0,0 +1,186 @@
+#include "erfa.h"
+
+void eraApcg13(double date1, double date2, eraASTROM *astrom)
+/*
+** - - - - - - - - - -
+** e r a A p c g 1 3
+** - - - - - - - - - -
+**
+** For a geocentric observer, prepare star-independent astrometry
+** parameters for transformations between ICRS and GCRS coordinates.
+** The caller supplies the date, and ERFA models are used to predict
+** the Earth ephemeris.
+**
+** The parameters produced by this function are required in the
+** parallax, light deflection and aberration parts of the astrometric
+** transformation chain.
+**
+** Given:
+** date1 double TDB as a 2-part...
+** date2 double ...Julian Date (Note 1)
+**
+** Returned:
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double unchanged
+** xpl double unchanged
+** ypl double unchanged
+** sphi double unchanged
+** cphi double unchanged
+** diurab double unchanged
+** eral double unchanged
+** refa double unchanged
+** refb double unchanged
+**
+** Notes:
+**
+** 1) The TDB date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TDB)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** resolution. The MJD method and the date & time methods are both
+** good compromises between resolution and convenience. For most
+** applications of this function the choice will not be at all
+** critical.
+**
+** TT can be used instead of TDB without any significant impact on
+** accuracy.
+**
+** 2) All the vectors are with respect to BCRS axes.
+**
+** 3) In cases where the caller wishes to supply his own Earth
+** ephemeris, the function eraApcg can be used instead of the present
+** function.
+**
+** 4) This is one of several functions that inserts into the astrom
+** structure star-independent parameters needed for the chain of
+** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed.
+**
+** The various functions support different classes of observer and
+** portions of the transformation chain:
+**
+** functions observer transformation
+**
+** eraApcg eraApcg13 geocentric ICRS <-> GCRS
+** eraApci eraApci13 terrestrial ICRS <-> CIRS
+** eraApco eraApco13 terrestrial ICRS <-> observed
+** eraApcs eraApcs13 space ICRS <-> GCRS
+** eraAper eraAper13 terrestrial update Earth rotation
+** eraApio eraApio13 terrestrial CIRS <-> observed
+**
+** Those with names ending in "13" use contemporary ERFA models to
+** compute the various ephemerides. The others accept ephemerides
+** supplied by the caller.
+**
+** The transformation from ICRS to GCRS covers space motion,
+** parallax, light deflection, and aberration. From GCRS to CIRS
+** comprises frame bias and precession-nutation. From CIRS to
+** observed takes account of Earth rotation, polar motion, diurnal
+** aberration and parallax (unless subsumed into the ICRS <-> GCRS
+** transformation), and atmospheric refraction.
+**
+** 5) The context structure astrom produced by this function is used by
+** eraAtciq* and eraAticq*.
+**
+** Called:
+** eraEpv00 Earth position and velocity
+** eraApcg astrometry parameters, ICRS-GCRS, geocenter
+**
+** This revision: 2013 October 9
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double ehpv[2][3], ebpv[2][3];
+
+
+/* Earth barycentric & heliocentric position/velocity (au, au/d). */
+ (void) eraEpv00(date1, date2, ehpv, ebpv);
+
+/* Compute the star-independent astrometry parameters. */
+ eraApcg(date1, date2, ebpv, ehpv[0], astrom);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/apci.c b/src/detail/erfa/apci.c
new file mode 100644
index 000000000..8063912dc
--- /dev/null
+++ b/src/detail/erfa/apci.c
@@ -0,0 +1,192 @@
+#include "erfa.h"
+
+void eraApci(double date1, double date2,
+ double ebpv[2][3], double ehp[3],
+ double x, double y, double s,
+ eraASTROM *astrom)
+/*
+** - - - - - - - -
+** e r a A p c i
+** - - - - - - - -
+**
+** For a terrestrial observer, prepare star-independent astrometry
+** parameters for transformations between ICRS and geocentric CIRS
+** coordinates. The Earth ephemeris and CIP/CIO are supplied by the
+** caller.
+**
+** The parameters produced by this function are required in the
+** parallax, light deflection, aberration, and bias-precession-nutation
+** parts of the astrometric transformation chain.
+**
+** Given:
+** date1 double TDB as a 2-part...
+** date2 double ...Julian Date (Note 1)
+** ebpv double[2][3] Earth barycentric position/velocity (au, au/day)
+** ehp double[3] Earth heliocentric position (au)
+** x,y double CIP X,Y (components of unit vector)
+** s double the CIO locator s (radians)
+**
+** Returned:
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double unchanged
+** xpl double unchanged
+** ypl double unchanged
+** sphi double unchanged
+** cphi double unchanged
+** diurab double unchanged
+** eral double unchanged
+** refa double unchanged
+** refb double unchanged
+**
+** Notes:
+**
+** 1) The TDB date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TDB)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** resolution. The MJD method and the date & time methods are both
+** good compromises between resolution and convenience. For most
+** applications of this function the choice will not be at all
+** critical.
+**
+** TT can be used instead of TDB without any significant impact on
+** accuracy.
+**
+** 2) All the vectors are with respect to BCRS axes.
+**
+** 3) In cases where the caller does not wish to provide the Earth
+** ephemeris and CIP/CIO, the function eraApci13 can be used instead
+** of the present function. This computes the required quantities
+** using other ERFA functions.
+**
+** 4) This is one of several functions that inserts into the astrom
+** structure star-independent parameters needed for the chain of
+** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed.
+**
+** The various functions support different classes of observer and
+** portions of the transformation chain:
+**
+** functions observer transformation
+**
+** eraApcg eraApcg13 geocentric ICRS <-> GCRS
+** eraApci eraApci13 terrestrial ICRS <-> CIRS
+** eraApco eraApco13 terrestrial ICRS <-> observed
+** eraApcs eraApcs13 space ICRS <-> GCRS
+** eraAper eraAper13 terrestrial update Earth rotation
+** eraApio eraApio13 terrestrial CIRS <-> observed
+**
+** Those with names ending in "13" use contemporary ERFA models to
+** compute the various ephemerides. The others accept ephemerides
+** supplied by the caller.
+**
+** The transformation from ICRS to GCRS covers space motion,
+** parallax, light deflection, and aberration. From GCRS to CIRS
+** comprises frame bias and precession-nutation. From CIRS to
+** observed takes account of Earth rotation, polar motion, diurnal
+** aberration and parallax (unless subsumed into the ICRS <-> GCRS
+** transformation), and atmospheric refraction.
+**
+** 5) The context structure astrom produced by this function is used by
+** eraAtciq* and eraAticq*.
+**
+** Called:
+** eraApcg astrometry parameters, ICRS-GCRS, geocenter
+** eraC2ixys celestial-to-intermediate matrix, given X,Y and s
+**
+** This revision: 2013 September 25
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+
+/* Star-independent astrometry parameters for geocenter. */
+ eraApcg(date1, date2, ebpv, ehp, astrom);
+
+/* CIO based BPN matrix. */
+ eraC2ixys(x, y, s, astrom->bpn);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/apci13.c b/src/detail/erfa/apci13.c
new file mode 100644
index 000000000..66196eae5
--- /dev/null
+++ b/src/detail/erfa/apci13.c
@@ -0,0 +1,204 @@
+#include "erfa.h"
+
+void eraApci13(double date1, double date2,
+ eraASTROM *astrom, double *eo)
+/*
+** - - - - - - - - - -
+** e r a A p c i 1 3
+** - - - - - - - - - -
+**
+** For a terrestrial observer, prepare star-independent astrometry
+** parameters for transformations between ICRS and geocentric CIRS
+** coordinates. The caller supplies the date, and ERFA models are used
+** to predict the Earth ephemeris and CIP/CIO.
+**
+** The parameters produced by this function are required in the
+** parallax, light deflection, aberration, and bias-precession-nutation
+** parts of the astrometric transformation chain.
+**
+** Given:
+** date1 double TDB as a 2-part...
+** date2 double ...Julian Date (Note 1)
+**
+** Returned:
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double unchanged
+** xpl double unchanged
+** ypl double unchanged
+** sphi double unchanged
+** cphi double unchanged
+** diurab double unchanged
+** eral double unchanged
+** refa double unchanged
+** refb double unchanged
+** eo double* equation of the origins (ERA-GST, radians)
+**
+** Notes:
+**
+** 1) The TDB date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TDB)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** resolution. The MJD method and the date & time methods are both
+** good compromises between resolution and convenience. For most
+** applications of this function the choice will not be at all
+** critical.
+**
+** TT can be used instead of TDB without any significant impact on
+** accuracy.
+**
+** 2) All the vectors are with respect to BCRS axes.
+**
+** 3) In cases where the caller wishes to supply his own Earth
+** ephemeris and CIP/CIO, the function eraApci can be used instead
+** of the present function.
+**
+** 4) This is one of several functions that inserts into the astrom
+** structure star-independent parameters needed for the chain of
+** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed.
+**
+** The various functions support different classes of observer and
+** portions of the transformation chain:
+**
+** functions observer transformation
+**
+** eraApcg eraApcg13 geocentric ICRS <-> GCRS
+** eraApci eraApci13 terrestrial ICRS <-> CIRS
+** eraApco eraApco13 terrestrial ICRS <-> observed
+** eraApcs eraApcs13 space ICRS <-> GCRS
+** eraAper eraAper13 terrestrial update Earth rotation
+** eraApio eraApio13 terrestrial CIRS <-> observed
+**
+** Those with names ending in "13" use contemporary ERFA models to
+** compute the various ephemerides. The others accept ephemerides
+** supplied by the caller.
+**
+** The transformation from ICRS to GCRS covers space motion,
+** parallax, light deflection, and aberration. From GCRS to CIRS
+** comprises frame bias and precession-nutation. From CIRS to
+** observed takes account of Earth rotation, polar motion, diurnal
+** aberration and parallax (unless subsumed into the ICRS <-> GCRS
+** transformation), and atmospheric refraction.
+**
+** 5) The context structure astrom produced by this function is used by
+** eraAtciq* and eraAticq*.
+**
+** Called:
+** eraEpv00 Earth position and velocity
+** eraPnm06a classical NPB matrix, IAU 2006/2000A
+** eraBpn2xy extract CIP X,Y coordinates from NPB matrix
+** eraS06 the CIO locator s, given X,Y, IAU 2006
+** eraApci astrometry parameters, ICRS-CIRS
+** eraEors equation of the origins, given NPB matrix and s
+**
+** This revision: 2022 May 3
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double ehpv[2][3], ebpv[2][3], r[3][3], x, y, s;
+
+
+/* Earth barycentric & heliocentric position/velocity (au, au/d). */
+ (void) eraEpv00(date1, date2, ehpv, ebpv);
+
+/* Form the equinox based BPN matrix, IAU 2006/2000A. */
+ eraPnm06a(date1, date2, r);
+
+/* Extract CIP X,Y. */
+ eraBpn2xy(r, &x, &y);
+
+/* Obtain CIO locator s. */
+ s = eraS06(date1, date2, x, y);
+
+/* Compute the star-independent astrometry parameters. */
+ eraApci(date1, date2, ebpv, ehpv[0], x, y, s, astrom);
+
+/* Equation of the origins. */
+ *eo = eraEors(r, s);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/apco.c b/src/detail/erfa/apco.c
new file mode 100644
index 000000000..6576a4743
--- /dev/null
+++ b/src/detail/erfa/apco.c
@@ -0,0 +1,286 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraApco(double date1, double date2,
+ double ebpv[2][3], double ehp[3],
+ double x, double y, double s, double theta,
+ double elong, double phi, double hm,
+ double xp, double yp, double sp,
+ double refa, double refb,
+ eraASTROM *astrom)
+/*
+** - - - - - - - -
+** e r a A p c o
+** - - - - - - - -
+**
+** For a terrestrial observer, prepare star-independent astrometry
+** parameters for transformations between ICRS and observed
+** coordinates. The caller supplies the Earth ephemeris, the Earth
+** rotation information and the refraction constants as well as the
+** site coordinates.
+**
+** Given:
+** date1 double TDB as a 2-part...
+** date2 double ...Julian Date (Note 1)
+** ebpv double[2][3] Earth barycentric PV (au, au/day, Note 2)
+** ehp double[3] Earth heliocentric P (au, Note 2)
+** x,y double CIP X,Y (components of unit vector)
+** s double the CIO locator s (radians)
+** theta double Earth rotation angle (radians)
+** elong double longitude (radians, east +ve, Note 3)
+** phi double latitude (geodetic, radians, Note 3)
+** hm double height above ellipsoid (m, geodetic, Note 3)
+** xp,yp double polar motion coordinates (radians, Note 4)
+** sp double the TIO locator s' (radians, Note 4)
+** refa double refraction constant A (radians, Note 5)
+** refb double refraction constant B (radians, Note 5)
+**
+** Returned:
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double adjusted longitude (radians)
+** xpl double polar motion xp wrt local meridian (radians)
+** ypl double polar motion yp wrt local meridian (radians)
+** sphi double sine of geodetic latitude
+** cphi double cosine of geodetic latitude
+** diurab double magnitude of diurnal aberration vector
+** eral double "local" Earth rotation angle (radians)
+** refa double refraction constant A (radians)
+** refb double refraction constant B (radians)
+**
+** Notes:
+**
+** 1) The TDB date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TDB)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** resolution. The MJD method and the date & time methods are both
+** good compromises between resolution and convenience. For most
+** applications of this function the choice will not be at all
+** critical.
+**
+** TT can be used instead of TDB without any significant impact on
+** accuracy.
+**
+** 2) The vectors eb, eh, and all the astrom vectors, are with respect
+** to BCRS axes.
+**
+** 3) The geographical coordinates are with respect to the ERFA_WGS84
+** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN
+** CONVENTION: the longitude required by the present function is
+** right-handed, i.e. east-positive, in accordance with geographical
+** convention.
+**
+** The adjusted longitude stored in the astrom array takes into
+** account the TIO locator and polar motion.
+**
+** 4) xp and yp are the coordinates (in radians) of the Celestial
+** Intermediate Pole with respect to the International Terrestrial
+** Reference System (see IERS Conventions), measured along the
+** meridians 0 and 90 deg west respectively. sp is the TIO locator
+** s', in radians, which positions the Terrestrial Intermediate
+** Origin on the equator. For many applications, xp, yp and
+** (especially) sp can be set to zero.
+**
+** Internally, the polar motion is stored in a form rotated onto the
+** local meridian.
+**
+** 5) The refraction constants refa and refb are for use in a
+** dZ = A*tan(Z)+B*tan^3(Z) model, where Z is the observed
+** (i.e. refracted) zenith distance and dZ is the amount of
+** refraction.
+**
+** 6) It is advisable to take great care with units, as even unlikely
+** values of the input parameters are accepted and processed in
+** accordance with the models used.
+**
+** 7) In cases where the caller does not wish to provide the Earth
+** Ephemeris, the Earth rotation information and refraction
+** constants, the function eraApco13 can be used instead of the
+** present function. This starts from UTC and weather readings etc.
+** and computes suitable values using other ERFA functions.
+**
+** 8) This is one of several functions that inserts into the astrom
+** structure star-independent parameters needed for the chain of
+** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed.
+**
+** The various functions support different classes of observer and
+** portions of the transformation chain:
+**
+** functions observer transformation
+**
+** eraApcg eraApcg13 geocentric ICRS <-> GCRS
+** eraApci eraApci13 terrestrial ICRS <-> CIRS
+** eraApco eraApco13 terrestrial ICRS <-> observed
+** eraApcs eraApcs13 space ICRS <-> GCRS
+** eraAper eraAper13 terrestrial update Earth rotation
+** eraApio eraApio13 terrestrial CIRS <-> observed
+**
+** Those with names ending in "13" use contemporary ERFA models to
+** compute the various ephemerides. The others accept ephemerides
+** supplied by the caller.
+**
+** The transformation from ICRS to GCRS covers space motion,
+** parallax, light deflection, and aberration. From GCRS to CIRS
+** comprises frame bias and precession-nutation. From CIRS to
+** observed takes account of Earth rotation, polar motion, diurnal
+** aberration and parallax (unless subsumed into the ICRS <-> GCRS
+** transformation), and atmospheric refraction.
+**
+** 9) The context structure astrom produced by this function is used by
+** eraAtioq, eraAtoiq, eraAtciq* and eraAticq*.
+**
+** Called:
+** eraIr initialize r-matrix to identity
+** eraRz rotate around Z-axis
+** eraRy rotate around Y-axis
+** eraRx rotate around X-axis
+** eraAnpm normalize angle into range +/- pi
+** eraC2ixys celestial-to-intermediate matrix, given X,Y and s
+** eraPvtob position/velocity of terrestrial station
+** eraTrxpv product of transpose of r-matrix and pv-vector
+** eraApcs astrometry parameters, ICRS-GCRS, space observer
+** eraCr copy r-matrix
+**
+** This revision: 2021 February 24
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double r[3][3], a, b, eral, c, pvc[2][3], pv[2][3];
+
+
+/* Form the rotation matrix, CIRS to apparent [HA,Dec]. */
+ eraIr(r);
+ eraRz(theta+sp, r);
+ eraRy(-xp, r);
+ eraRx(-yp, r);
+ eraRz(elong, r);
+
+/* Solve for local Earth rotation angle. */
+ a = r[0][0];
+ b = r[0][1];
+ eral = ( a != 0.0 || b != 0.0 ) ? atan2(b, a) : 0.0;
+ astrom->eral = eral;
+
+/* Solve for polar motion [X,Y] with respect to local meridian. */
+ a = r[0][0];
+ c = r[0][2];
+ astrom->xpl = atan2(c, sqrt(a*a+b*b));
+ a = r[1][2];
+ b = r[2][2];
+ astrom->ypl = ( a != 0.0 || b != 0.0 ) ? -atan2(a, b) : 0.0;
+
+/* Adjusted longitude. */
+ astrom->along = eraAnpm(eral - theta);
+
+/* Functions of latitude. */
+ astrom->sphi = sin(phi);
+ astrom->cphi = cos(phi);
+
+/* Refraction constants. */
+ astrom->refa = refa;
+ astrom->refb = refb;
+
+/* Disable the (redundant) diurnal aberration step. */
+ astrom->diurab = 0.0;
+
+/* CIO based BPN matrix. */
+ eraC2ixys(x, y, s, r);
+
+/* Observer's geocentric position and velocity (m, m/s, CIRS). */
+ eraPvtob(elong, phi, hm, xp, yp, sp, theta, pvc);
+
+/* Rotate into GCRS. */
+ eraTrxpv(r, pvc, pv);
+
+/* ICRS <-> GCRS parameters. */
+ eraApcs(date1, date2, pv, ebpv, ehp, astrom);
+
+/* Store the CIO based BPN matrix. */
+ eraCr(r, astrom->bpn );
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/apco13.c b/src/detail/erfa/apco13.c
new file mode 100644
index 000000000..cc72ce3e7
--- /dev/null
+++ b/src/detail/erfa/apco13.c
@@ -0,0 +1,290 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraApco13(double utc1, double utc2, double dut1,
+ double elong, double phi, double hm, double xp, double yp,
+ double phpa, double tc, double rh, double wl,
+ eraASTROM *astrom, double *eo)
+/*
+** - - - - - - - - - -
+** e r a A p c o 1 3
+** - - - - - - - - - -
+**
+** For a terrestrial observer, prepare star-independent astrometry
+** parameters for transformations between ICRS and observed
+** coordinates. The caller supplies UTC, site coordinates, ambient air
+** conditions and observing wavelength, and ERFA models are used to
+** obtain the Earth ephemeris, CIP/CIO and refraction constants.
+**
+** The parameters produced by this function are required in the
+** parallax, light deflection, aberration, and bias-precession-nutation
+** parts of the ICRS/CIRS transformations.
+**
+** Given:
+** utc1 double UTC as a 2-part...
+** utc2 double ...quasi Julian Date (Notes 1,2)
+** dut1 double UT1-UTC (seconds, Note 3)
+** elong double longitude (radians, east +ve, Note 4)
+** phi double latitude (geodetic, radians, Note 4)
+** hm double height above ellipsoid (m, geodetic, Notes 4,6)
+** xp,yp double polar motion coordinates (radians, Note 5)
+** phpa double pressure at the observer (hPa = mB, Note 6)
+** tc double ambient temperature at the observer (deg C)
+** rh double relative humidity at the observer (range 0-1)
+** wl double wavelength (micrometers, Note 7)
+**
+** Returned:
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double longitude + s' (radians)
+** xpl double polar motion xp wrt local meridian (radians)
+** ypl double polar motion yp wrt local meridian (radians)
+** sphi double sine of geodetic latitude
+** cphi double cosine of geodetic latitude
+** diurab double magnitude of diurnal aberration vector
+** eral double "local" Earth rotation angle (radians)
+** refa double refraction constant A (radians)
+** refb double refraction constant B (radians)
+** eo double* equation of the origins (ERA-GST, radians)
+**
+** Returned (function value):
+** int status: +1 = dubious year (Note 2)
+** 0 = OK
+** -1 = unacceptable date
+**
+** Notes:
+**
+** 1) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any
+** convenient way between the two arguments, for example where utc1
+** is the Julian Day Number and utc2 is the fraction of a day.
+**
+** However, JD cannot unambiguously represent UTC during a leap
+** second unless special measures are taken. The convention in the
+** present function is that the JD day represents UTC days whether
+** the length is 86399, 86400 or 86401 SI seconds.
+**
+** Applications should use the function eraDtf2d to convert from
+** calendar date and time of day into 2-part quasi Julian Date, as
+** it implements the leap-second-ambiguity convention just
+** described.
+**
+** 2) The warning status "dubious year" flags UTCs that predate the
+** introduction of the time scale or that are too far in the
+** future to be trusted. See eraDat for further details.
+**
+** 3) UT1-UTC is tabulated in IERS bulletins. It increases by exactly
+** one second at the end of each positive UTC leap second,
+** introduced in order to keep UT1-UTC within +/- 0.9s. n.b. This
+** practice is under review, and in the future UT1-UTC may grow
+** essentially without limit.
+**
+** 4) The geographical coordinates are with respect to the ERFA_WGS84
+** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN: the
+** longitude required by the present function is east-positive
+** (i.e. right-handed), in accordance with geographical convention.
+**
+** 5) The polar motion xp,yp can be obtained from IERS bulletins. The
+** values are the coordinates (in radians) of the Celestial
+** Intermediate Pole with respect to the International Terrestrial
+** Reference System (see IERS Conventions 2003), measured along the
+** meridians 0 and 90 deg west respectively. For many
+** applications, xp and yp can be set to zero.
+**
+** Internally, the polar motion is stored in a form rotated onto
+** the local meridian.
+**
+** 6) If hm, the height above the ellipsoid of the observing station
+** in meters, is not known but phpa, the pressure in hPa (=mB), is
+** available, an adequate estimate of hm can be obtained from the
+** expression
+**
+** hm = -29.3 * tsl * log ( phpa / 1013.25 );
+**
+** where tsl is the approximate sea-level air temperature in K
+** (See Astrophysical Quantities, C.W.Allen, 3rd edition, section
+** 52). Similarly, if the pressure phpa is not known, it can be
+** estimated from the height of the observing station, hm, as
+** follows:
+**
+** phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) );
+**
+** Note, however, that the refraction is nearly proportional to
+** the pressure and that an accurate phpa value is important for
+** precise work.
+**
+** 7) The argument wl specifies the observing wavelength in
+** micrometers. The transition from optical to radio is assumed to
+** occur at 100 micrometers (about 3000 GHz).
+**
+** 8) It is advisable to take great care with units, as even unlikely
+** values of the input parameters are accepted and processed in
+** accordance with the models used.
+**
+** 9) In cases where the caller wishes to supply his own Earth
+** ephemeris, Earth rotation information and refraction constants,
+** the function eraApco can be used instead of the present function.
+**
+** 10) This is one of several functions that inserts into the astrom
+** structure star-independent parameters needed for the chain of
+** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed.
+**
+** The various functions support different classes of observer and
+** portions of the transformation chain:
+**
+** functions observer transformation
+**
+** eraApcg eraApcg13 geocentric ICRS <-> GCRS
+** eraApci eraApci13 terrestrial ICRS <-> CIRS
+** eraApco eraApco13 terrestrial ICRS <-> observed
+** eraApcs eraApcs13 space ICRS <-> GCRS
+** eraAper eraAper13 terrestrial update Earth rotation
+** eraApio eraApio13 terrestrial CIRS <-> observed
+**
+** Those with names ending in "13" use contemporary ERFA models to
+** compute the various ephemerides. The others accept ephemerides
+** supplied by the caller.
+**
+** The transformation from ICRS to GCRS covers space motion,
+** parallax, light deflection, and aberration. From GCRS to CIRS
+** comprises frame bias and precession-nutation. From CIRS to
+** observed takes account of Earth rotation, polar motion, diurnal
+** aberration and parallax (unless subsumed into the ICRS <-> GCRS
+** transformation), and atmospheric refraction.
+**
+** 11) The context structure astrom produced by this function is used
+** by eraAtioq, eraAtoiq, eraAtciq* and eraAticq*.
+**
+** Called:
+** eraUtctai UTC to TAI
+** eraTaitt TAI to TT
+** eraUtcut1 UTC to UT1
+** eraEpv00 Earth position and velocity
+** eraPnm06a classical NPB matrix, IAU 2006/2000A
+** eraBpn2xy extract CIP X,Y coordinates from NPB matrix
+** eraS06 the CIO locator s, given X,Y, IAU 2006
+** eraEra00 Earth rotation angle, IAU 2000
+** eraSp00 the TIO locator s', IERS 2000
+** eraRefco refraction constants for given ambient conditions
+** eraApco astrometry parameters, ICRS-observed
+** eraEors equation of the origins, given NPB matrix and s
+**
+** This revision: 2022 May 3
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int j;
+ double tai1, tai2, tt1, tt2, ut11, ut12, ehpv[2][3], ebpv[2][3],
+ r[3][3], x, y, s, theta, sp, refa, refb;
+
+
+/* UTC to other time scales. */
+ j = eraUtctai(utc1, utc2, &tai1, &tai2);
+ if ( j < 0 ) return -1;
+ j = eraTaitt(tai1, tai2, &tt1, &tt2);
+ j = eraUtcut1(utc1, utc2, dut1, &ut11, &ut12);
+ if ( j < 0 ) return -1;
+
+/* Earth barycentric & heliocentric position/velocity (au, au/d). */
+ (void) eraEpv00(tt1, tt2, ehpv, ebpv);
+
+/* Form the equinox based BPN matrix, IAU 2006/2000A. */
+ eraPnm06a(tt1, tt2, r);
+
+/* Extract CIP X,Y. */
+ eraBpn2xy(r, &x, &y);
+
+/* Obtain CIO locator s. */
+ s = eraS06(tt1, tt2, x, y);
+
+/* Earth rotation angle. */
+ theta = eraEra00(ut11, ut12);
+
+/* TIO locator s'. */
+ sp = eraSp00(tt1, tt2);
+
+/* Refraction constants A and B. */
+ eraRefco(phpa, tc, rh, wl, &refa, &refb);
+
+/* Compute the star-independent astrometry parameters. */
+ eraApco(tt1, tt2, ebpv, ehpv[0], x, y, s, theta,
+ elong, phi, hm, xp, yp, sp, refa, refb, astrom);
+
+/* Equation of the origins. */
+ *eo = eraEors(r, s);
+
+/* Return any warning status. */
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/apcs.c b/src/detail/erfa/apcs.c
new file mode 100644
index 000000000..1844a29cd
--- /dev/null
+++ b/src/detail/erfa/apcs.c
@@ -0,0 +1,236 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraApcs(double date1, double date2, double pv[2][3],
+ double ebpv[2][3], double ehp[3],
+ eraASTROM *astrom)
+/*
+** - - - - - - - -
+** e r a A p c s
+** - - - - - - - -
+**
+** For an observer whose geocentric position and velocity are known,
+** prepare star-independent astrometry parameters for transformations
+** between ICRS and GCRS. The Earth ephemeris is supplied by the
+** caller.
+**
+** The parameters produced by this function are required in the space
+** motion, parallax, light deflection and aberration parts of the
+** astrometric transformation chain.
+**
+** Given:
+** date1 double TDB as a 2-part...
+** date2 double ...Julian Date (Note 1)
+** pv double[2][3] observer's geocentric pos/vel (m, m/s)
+** ebpv double[2][3] Earth barycentric PV (au, au/day)
+** ehp double[3] Earth heliocentric P (au)
+**
+** Returned:
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double unchanged
+** xpl double unchanged
+** ypl double unchanged
+** sphi double unchanged
+** cphi double unchanged
+** diurab double unchanged
+** eral double unchanged
+** refa double unchanged
+** refb double unchanged
+**
+** Notes:
+**
+** 1) The TDB date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TDB)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** resolution. The MJD method and the date & time methods are both
+** good compromises between resolution and convenience. For most
+** applications of this function the choice will not be at all
+** critical.
+**
+** TT can be used instead of TDB without any significant impact on
+** accuracy.
+**
+** 2) All the vectors are with respect to BCRS axes.
+**
+** 3) Providing separate arguments for (i) the observer's geocentric
+** position and velocity and (ii) the Earth ephemeris is done for
+** convenience in the geocentric, terrestrial and Earth orbit cases.
+** For deep space applications it maybe more convenient to specify
+** zero geocentric position and velocity and to supply the
+** observer's position and velocity information directly instead of
+** with respect to the Earth. However, note the different units:
+** m and m/s for the geocentric vectors, au and au/day for the
+** heliocentric and barycentric vectors.
+**
+** 4) In cases where the caller does not wish to provide the Earth
+** ephemeris, the function eraApcs13 can be used instead of the
+** present function. This computes the Earth ephemeris using the
+** ERFA function eraEpv00.
+**
+** 5) This is one of several functions that inserts into the astrom
+** structure star-independent parameters needed for the chain of
+** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed.
+**
+** The various functions support different classes of observer and
+** portions of the transformation chain:
+**
+** functions observer transformation
+**
+** eraApcg eraApcg13 geocentric ICRS <-> GCRS
+** eraApci eraApci13 terrestrial ICRS <-> CIRS
+** eraApco eraApco13 terrestrial ICRS <-> observed
+** eraApcs eraApcs13 space ICRS <-> GCRS
+** eraAper eraAper13 terrestrial update Earth rotation
+** eraApio eraApio13 terrestrial CIRS <-> observed
+**
+** Those with names ending in "13" use contemporary ERFA models to
+** compute the various ephemerides. The others accept ephemerides
+** supplied by the caller.
+**
+** The transformation from ICRS to GCRS covers space motion,
+** parallax, light deflection, and aberration. From GCRS to CIRS
+** comprises frame bias and precession-nutation. From CIRS to
+** observed takes account of Earth rotation, polar motion, diurnal
+** aberration and parallax (unless subsumed into the ICRS <-> GCRS
+** transformation), and atmospheric refraction.
+**
+** 6) The context structure astrom produced by this function is used by
+** eraAtciq* and eraAticq*.
+**
+** Called:
+** eraCp copy p-vector
+** eraPm modulus of p-vector
+** eraPn decompose p-vector into modulus and direction
+** eraIr initialize r-matrix to identity
+**
+** This revision: 2021 February 24
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* au/d to m/s */
+ const double AUDMS = ERFA_DAU/ERFA_DAYSEC;
+
+/* Light time for 1 au (day) */
+ const double CR = ERFA_AULT/ERFA_DAYSEC;
+
+ int i;
+ double dp, dv, pb[3], vb[3], ph[3], v2, w;
+
+
+/* Time since reference epoch, years (for proper motion calculation). */
+ astrom->pmt = ( (date1 - ERFA_DJ00) + date2 ) / ERFA_DJY;
+
+/* Adjust Earth ephemeris to observer. */
+ for (i = 0; i < 3; i++) {
+ dp = pv[0][i] / ERFA_DAU;
+ dv = pv[1][i] / AUDMS;
+ pb[i] = ebpv[0][i] + dp;
+ vb[i] = ebpv[1][i] + dv;
+ ph[i] = ehp[i] + dp;
+ }
+
+/* Barycentric position of observer (au). */
+ eraCp(pb, astrom->eb);
+
+/* Heliocentric direction and distance (unit vector and au). */
+ eraPn(ph, &astrom->em, astrom->eh);
+
+/* Barycentric vel. in units of c, and reciprocal of Lorenz factor. */
+ v2 = 0.0;
+ for (i = 0; i < 3; i++) {
+ w = vb[i] * CR;
+ astrom->v[i] = w;
+ v2 += w*w;
+ }
+ astrom->bm1 = sqrt(1.0 - v2);
+
+/* Reset the NPB matrix. */
+ eraIr(astrom->bpn);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/apcs13.c b/src/detail/erfa/apcs13.c
new file mode 100644
index 000000000..c66f7df01
--- /dev/null
+++ b/src/detail/erfa/apcs13.c
@@ -0,0 +1,193 @@
+#include "erfa.h"
+
+void eraApcs13(double date1, double date2, double pv[2][3],
+ eraASTROM *astrom)
+/*
+** - - - - - - - - - -
+** e r a A p c s 1 3
+** - - - - - - - - - -
+**
+** For an observer whose geocentric position and velocity are known,
+** prepare star-independent astrometry parameters for transformations
+** between ICRS and GCRS. The Earth ephemeris is from ERFA models.
+**
+** The parameters produced by this function are required in the space
+** motion, parallax, light deflection and aberration parts of the
+** astrometric transformation chain.
+**
+** Given:
+** date1 double TDB as a 2-part...
+** date2 double ...Julian Date (Note 1)
+** pv double[2][3] observer's geocentric pos/vel (Note 3)
+**
+** Returned:
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double unchanged
+** xpl double unchanged
+** ypl double unchanged
+** sphi double unchanged
+** cphi double unchanged
+** diurab double unchanged
+** eral double unchanged
+** refa double unchanged
+** refb double unchanged
+**
+** Notes:
+**
+** 1) The TDB date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TDB)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** resolution. The MJD method and the date & time methods are both
+** good compromises between resolution and convenience. For most
+** applications of this function the choice will not be at all
+** critical.
+**
+** TT can be used instead of TDB without any significant impact on
+** accuracy.
+**
+** 2) All the vectors are with respect to BCRS axes.
+**
+** 3) The observer's position and velocity pv are geocentric but with
+** respect to BCRS axes, and in units of m and m/s. No assumptions
+** are made about proximity to the Earth, and the function can be
+** used for deep space applications as well as Earth orbit and
+** terrestrial.
+**
+** 4) In cases where the caller wishes to supply his own Earth
+** ephemeris, the function eraApcs can be used instead of the present
+** function.
+**
+** 5) This is one of several functions that inserts into the astrom
+** structure star-independent parameters needed for the chain of
+** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed.
+**
+** The various functions support different classes of observer and
+** portions of the transformation chain:
+**
+** functions observer transformation
+**
+** eraApcg eraApcg13 geocentric ICRS <-> GCRS
+** eraApci eraApci13 terrestrial ICRS <-> CIRS
+** eraApco eraApco13 terrestrial ICRS <-> observed
+** eraApcs eraApcs13 space ICRS <-> GCRS
+** eraAper eraAper13 terrestrial update Earth rotation
+** eraApio eraApio13 terrestrial CIRS <-> observed
+**
+** Those with names ending in "13" use contemporary ERFA models to
+** compute the various ephemerides. The others accept ephemerides
+** supplied by the caller.
+**
+** The transformation from ICRS to GCRS covers space motion,
+** parallax, light deflection, and aberration. From GCRS to CIRS
+** comprises frame bias and precession-nutation. From CIRS to
+** observed takes account of Earth rotation, polar motion, diurnal
+** aberration and parallax (unless subsumed into the ICRS <-> GCRS
+** transformation), and atmospheric refraction.
+**
+** 6) The context structure astrom produced by this function is used by
+** eraAtciq* and eraAticq*.
+**
+** Called:
+** eraEpv00 Earth position and velocity
+** eraApcs astrometry parameters, ICRS-GCRS, space observer
+**
+** This revision: 2013 October 9
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double ehpv[2][3], ebpv[2][3];
+
+
+/* Earth barycentric & heliocentric position/velocity (au, au/d). */
+ (void) eraEpv00(date1, date2, ehpv, ebpv);
+
+/* Compute the star-independent astrometry parameters. */
+ eraApcs(date1, date2, pv, ebpv, ehpv[0], astrom);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/aper.c b/src/detail/erfa/aper.c
new file mode 100644
index 000000000..d46bb2a8e
--- /dev/null
+++ b/src/detail/erfa/aper.c
@@ -0,0 +1,164 @@
+#include "erfa.h"
+
+void eraAper(double theta, eraASTROM *astrom)
+/*
+** - - - - - - - -
+** e r a A p e r
+** - - - - - - - -
+**
+** In the star-independent astrometry parameters, update only the
+** Earth rotation angle, supplied by the caller explicitly.
+**
+** Given:
+** theta double Earth rotation angle (radians, Note 2)
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double not used
+** eb double[3] not used
+** eh double[3] not used
+** em double not used
+** v double[3] not used
+** bm1 double not used
+** bpn double[3][3] not used
+** along double longitude + s' (radians)
+** xpl double not used
+** ypl double not used
+** sphi double not used
+** cphi double not used
+** diurab double not used
+** eral double not used
+** refa double not used
+** refb double not used
+**
+** Returned:
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double unchanged
+** eb double[3] unchanged
+** eh double[3] unchanged
+** em double unchanged
+** v double[3] unchanged
+** bm1 double unchanged
+** bpn double[3][3] unchanged
+** along double unchanged
+** xpl double unchanged
+** ypl double unchanged
+** sphi double unchanged
+** cphi double unchanged
+** diurab double unchanged
+** eral double "local" Earth rotation angle (radians)
+** refa double unchanged
+** refb double unchanged
+**
+** Notes:
+**
+** 1) This function exists to enable sidereal-tracking applications to
+** avoid wasteful recomputation of the bulk of the astrometry
+** parameters: only the Earth rotation is updated.
+**
+** 2) For targets expressed as equinox based positions, such as
+** classical geocentric apparent (RA,Dec), the supplied theta can be
+** Greenwich apparent sidereal time rather than Earth rotation
+** angle.
+**
+** 3) The function eraAper13 can be used instead of the present
+** function, and starts from UT1 rather than ERA itself.
+**
+** 4) This is one of several functions that inserts into the astrom
+** structure star-independent parameters needed for the chain of
+** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed.
+**
+** The various functions support different classes of observer and
+** portions of the transformation chain:
+**
+** functions observer transformation
+**
+** eraApcg eraApcg13 geocentric ICRS <-> GCRS
+** eraApci eraApci13 terrestrial ICRS <-> CIRS
+** eraApco eraApco13 terrestrial ICRS <-> observed
+** eraApcs eraApcs13 space ICRS <-> GCRS
+** eraAper eraAper13 terrestrial update Earth rotation
+** eraApio eraApio13 terrestrial CIRS <-> observed
+**
+** Those with names ending in "13" use contemporary ERFA models to
+** compute the various ephemerides. The others accept ephemerides
+** supplied by the caller.
+**
+** The transformation from ICRS to GCRS covers space motion,
+** parallax, light deflection, and aberration. From GCRS to CIRS
+** comprises frame bias and precession-nutation. From CIRS to
+** observed takes account of Earth rotation, polar motion, diurnal
+** aberration and parallax (unless subsumed into the ICRS <-> GCRS
+** transformation), and atmospheric refraction.
+**
+** This revision: 2013 September 25
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ astrom->eral = theta + astrom->along;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/aper13.c b/src/detail/erfa/aper13.c
new file mode 100644
index 000000000..40fd0d564
--- /dev/null
+++ b/src/detail/erfa/aper13.c
@@ -0,0 +1,183 @@
+#include "erfa.h"
+
+void eraAper13(double ut11, double ut12, eraASTROM *astrom)
+/*
+** - - - - - - - - - -
+** e r a A p e r 1 3
+** - - - - - - - - - -
+**
+** In the star-independent astrometry parameters, update only the
+** Earth rotation angle. The caller provides UT1, (n.b. not UTC).
+**
+** Given:
+** ut11 double UT1 as a 2-part...
+** ut12 double ...Julian Date (Note 1)
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double not used
+** eb double[3] not used
+** eh double[3] not used
+** em double not used
+** v double[3] not used
+** bm1 double not used
+** bpn double[3][3] not used
+** along double longitude + s' (radians)
+** xpl double not used
+** ypl double not used
+** sphi double not used
+** cphi double not used
+** diurab double not used
+** eral double not used
+** refa double not used
+** refb double not used
+**
+** Returned:
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double unchanged
+** eb double[3] unchanged
+** eh double[3] unchanged
+** em double unchanged
+** v double[3] unchanged
+** bm1 double unchanged
+** bpn double[3][3] unchanged
+** along double unchanged
+** xpl double unchanged
+** ypl double unchanged
+** sphi double unchanged
+** cphi double unchanged
+** diurab double unchanged
+** eral double "local" Earth rotation angle (radians)
+** refa double unchanged
+** refb double unchanged
+**
+** Notes:
+**
+** 1) The UT1 date (n.b. not UTC) ut11+ut12 is a Julian Date,
+** apportioned in any convenient way between the arguments ut11 and
+** ut12. For example, JD(UT1)=2450123.7 could be expressed in any
+** of these ways, among others:
+**
+** ut11 ut12
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 and MJD methods are good compromises
+** between resolution and convenience. The date & time method is
+** best matched to the algorithm used: maximum precision is
+** delivered when the ut11 argument is for 0hrs UT1 on the day in
+** question and the ut12 argument lies in the range 0 to 1, or vice
+** versa.
+**
+** 2) If the caller wishes to provide the Earth rotation angle itself,
+** the function eraAper can be used instead. One use of this
+** technique is to substitute Greenwich apparent sidereal time and
+** thereby to support equinox based transformations directly.
+**
+** 3) This is one of several functions that inserts into the astrom
+** structure star-independent parameters needed for the chain of
+** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed.
+**
+** The various functions support different classes of observer and
+** portions of the transformation chain:
+**
+** functions observer transformation
+**
+** eraApcg eraApcg13 geocentric ICRS <-> GCRS
+** eraApci eraApci13 terrestrial ICRS <-> CIRS
+** eraApco eraApco13 terrestrial ICRS <-> observed
+** eraApcs eraApcs13 space ICRS <-> GCRS
+** eraAper eraAper13 terrestrial update Earth rotation
+** eraApio eraApio13 terrestrial CIRS <-> observed
+**
+** Those with names ending in "13" use contemporary ERFA models to
+** compute the various ephemerides. The others accept ephemerides
+** supplied by the caller.
+**
+** The transformation from ICRS to GCRS covers space motion,
+** parallax, light deflection, and aberration. From GCRS to CIRS
+** comprises frame bias and precession-nutation. From CIRS to
+** observed takes account of Earth rotation, polar motion, diurnal
+** aberration and parallax (unless subsumed into the ICRS <-> GCRS
+** transformation), and atmospheric refraction.
+**
+** Called:
+** eraAper astrometry parameters: update ERA
+** eraEra00 Earth rotation angle, IAU 2000
+**
+** This revision: 2013 September 25
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ eraAper(eraEra00(ut11,ut12), astrom);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/apio.c b/src/detail/erfa/apio.c
new file mode 100644
index 000000000..d7fb457ae
--- /dev/null
+++ b/src/detail/erfa/apio.c
@@ -0,0 +1,232 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraApio(double sp, double theta,
+ double elong, double phi, double hm, double xp, double yp,
+ double refa, double refb,
+ eraASTROM *astrom)
+/*
+** - - - - - - - -
+** e r a A p i o
+** - - - - - - - -
+**
+** For a terrestrial observer, prepare star-independent astrometry
+** parameters for transformations between CIRS and observed
+** coordinates. The caller supplies the Earth orientation information
+** and the refraction constants as well as the site coordinates.
+**
+** Given:
+** sp double the TIO locator s' (radians, Note 1)
+** theta double Earth rotation angle (radians)
+** elong double longitude (radians, east +ve, Note 2)
+** phi double geodetic latitude (radians, Note 2)
+** hm double height above ellipsoid (m, geodetic Note 2)
+** xp,yp double polar motion coordinates (radians, Note 3)
+** refa double refraction constant A (radians, Note 4)
+** refb double refraction constant B (radians, Note 4)
+**
+** Returned:
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double unchanged
+** eb double[3] unchanged
+** eh double[3] unchanged
+** em double unchanged
+** v double[3] unchanged
+** bm1 double unchanged
+** bpn double[3][3] unchanged
+** along double adjusted longitude (radians)
+** xpl double polar motion xp wrt local meridian (radians)
+** ypl double polar motion yp wrt local meridian (radians)
+** sphi double sine of geodetic latitude
+** cphi double cosine of geodetic latitude
+** diurab double magnitude of diurnal aberration vector
+** eral double "local" Earth rotation angle (radians)
+** refa double refraction constant A (radians)
+** refb double refraction constant B (radians)
+**
+** Notes:
+**
+** 1) sp, the TIO locator s', is a tiny quantity needed only by the
+** most precise applications. It can either be set to zero or
+** predicted using the ERFA function eraSp00.
+**
+** 2) The geographical coordinates are with respect to the ERFA_WGS84
+** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN: the
+** longitude required by the present function is east-positive
+** (i.e. right-handed), in accordance with geographical convention.
+**
+** 3) The polar motion xp,yp can be obtained from IERS bulletins. The
+** values are the coordinates (in radians) of the Celestial
+** Intermediate Pole with respect to the International Terrestrial
+** Reference System (see IERS Conventions 2003), measured along the
+** meridians 0 and 90 deg west respectively. For many applications,
+** xp and yp can be set to zero.
+**
+** Internally, the polar motion is stored in a form rotated onto the
+** local meridian.
+**
+** 4) The refraction constants refa and refb are for use in a
+** dZ = A*tan(Z)+B*tan^3(Z) model, where Z is the observed
+** (i.e. refracted) zenith distance and dZ is the amount of
+** refraction.
+**
+** 5) It is advisable to take great care with units, as even unlikely
+** values of the input parameters are accepted and processed in
+** accordance with the models used.
+**
+** 6) In cases where the caller does not wish to provide the Earth
+** rotation information and refraction constants, the function
+** eraApio13 can be used instead of the present function. This
+** starts from UTC and weather readings etc. and computes suitable
+** values using other ERFA functions.
+**
+** 7) This is one of several functions that inserts into the astrom
+** structure star-independent parameters needed for the chain of
+** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed.
+**
+** The various functions support different classes of observer and
+** portions of the transformation chain:
+**
+** functions observer transformation
+**
+** eraApcg eraApcg13 geocentric ICRS <-> GCRS
+** eraApci eraApci13 terrestrial ICRS <-> CIRS
+** eraApco eraApco13 terrestrial ICRS <-> observed
+** eraApcs eraApcs13 space ICRS <-> GCRS
+** eraAper eraAper13 terrestrial update Earth rotation
+** eraApio eraApio13 terrestrial CIRS <-> observed
+**
+** Those with names ending in "13" use contemporary ERFA models to
+** compute the various ephemerides. The others accept ephemerides
+** supplied by the caller.
+**
+** The transformation from ICRS to GCRS covers space motion,
+** parallax, light deflection, and aberration. From GCRS to CIRS
+** comprises frame bias and precession-nutation. From CIRS to
+** observed takes account of Earth rotation, polar motion, diurnal
+** aberration and parallax (unless subsumed into the ICRS <-> GCRS
+** transformation), and atmospheric refraction.
+**
+** 8) The context structure astrom produced by this function is used by
+** eraAtioq and eraAtoiq.
+**
+** Called:
+** eraIr initialize r-matrix to identity
+** eraRz rotate around Z-axis
+** eraRy rotate around Y-axis
+** eraRx rotate around X-axis
+** eraAnpm normalize angle into range +/- pi
+** eraPvtob position/velocity of terrestrial station
+**
+** This revision: 2021 February 24
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double r[3][3], a, b, eral, c, pv[2][3];
+
+
+/* Form the rotation matrix, CIRS to apparent [HA,Dec]. */
+ eraIr(r);
+ eraRz(theta+sp, r);
+ eraRy(-xp, r);
+ eraRx(-yp, r);
+ eraRz(elong, r);
+
+/* Solve for local Earth rotation angle. */
+ a = r[0][0];
+ b = r[0][1];
+ eral = ( a != 0.0 || b != 0.0 ) ? atan2(b, a) : 0.0;
+ astrom->eral = eral;
+
+/* Solve for polar motion [X,Y] with respect to local meridian. */
+ a = r[0][0];
+ c = r[0][2];
+ astrom->xpl = atan2(c, sqrt(a*a+b*b));
+ a = r[1][2];
+ b = r[2][2];
+ astrom->ypl = ( a != 0.0 || b != 0.0 ) ? -atan2(a, b) : 0.0;
+
+/* Adjusted longitude. */
+ astrom->along = eraAnpm(eral - theta);
+
+/* Functions of latitude. */
+ astrom->sphi = sin(phi);
+ astrom->cphi = cos(phi);
+
+/* Observer's geocentric position and velocity (m, m/s, CIRS). */
+ eraPvtob(elong, phi, hm, xp, yp, sp, theta, pv);
+
+/* Magnitude of diurnal aberration vector. */
+ astrom->diurab = sqrt(pv[1][0]*pv[1][0]+pv[1][1]*pv[1][1]) / ERFA_CMPS;
+
+/* Refraction constants. */
+ astrom->refa = refa;
+ astrom->refb = refb;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/apio13.c b/src/detail/erfa/apio13.c
new file mode 100644
index 000000000..0051091b1
--- /dev/null
+++ b/src/detail/erfa/apio13.c
@@ -0,0 +1,262 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraApio13(double utc1, double utc2, double dut1,
+ double elong, double phi, double hm, double xp, double yp,
+ double phpa, double tc, double rh, double wl,
+ eraASTROM *astrom)
+/*
+** - - - - - - - - - -
+** e r a A p i o 1 3
+** - - - - - - - - - -
+**
+** For a terrestrial observer, prepare star-independent astrometry
+** parameters for transformations between CIRS and observed
+** coordinates. The caller supplies UTC, site coordinates, ambient air
+** conditions and observing wavelength.
+**
+** Given:
+** utc1 double UTC as a 2-part...
+** utc2 double ...quasi Julian Date (Notes 1,2)
+** dut1 double UT1-UTC (seconds)
+** elong double longitude (radians, east +ve, Note 3)
+** phi double geodetic latitude (radians, Note 3)
+** hm double height above ellipsoid (m, geodetic Notes 4,6)
+** xp,yp double polar motion coordinates (radians, Note 5)
+** phpa double pressure at the observer (hPa = mB, Note 6)
+** tc double ambient temperature at the observer (deg C)
+** rh double relative humidity at the observer (range 0-1)
+** wl double wavelength (micrometers, Note 7)
+**
+** Returned:
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double unchanged
+** eb double[3] unchanged
+** eh double[3] unchanged
+** em double unchanged
+** v double[3] unchanged
+** bm1 double unchanged
+** bpn double[3][3] unchanged
+** along double longitude + s' (radians)
+** xpl double polar motion xp wrt local meridian (radians)
+** ypl double polar motion yp wrt local meridian (radians)
+** sphi double sine of geodetic latitude
+** cphi double cosine of geodetic latitude
+** diurab double magnitude of diurnal aberration vector
+** eral double "local" Earth rotation angle (radians)
+** refa double refraction constant A (radians)
+** refb double refraction constant B (radians)
+**
+** Returned (function value):
+** int status: +1 = dubious year (Note 2)
+** 0 = OK
+** -1 = unacceptable date
+**
+** Notes:
+**
+** 1) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any
+** convenient way between the two arguments, for example where utc1
+** is the Julian Day Number and utc2 is the fraction of a day.
+**
+** However, JD cannot unambiguously represent UTC during a leap
+** second unless special measures are taken. The convention in the
+** present function is that the JD day represents UTC days whether
+** the length is 86399, 86400 or 86401 SI seconds.
+**
+** Applications should use the function eraDtf2d to convert from
+** calendar date and time of day into 2-part quasi Julian Date, as
+** it implements the leap-second-ambiguity convention just
+** described.
+**
+** 2) The warning status "dubious year" flags UTCs that predate the
+** introduction of the time scale or that are too far in the future
+** to be trusted. See eraDat for further details.
+**
+** 3) UT1-UTC is tabulated in IERS bulletins. It increases by exactly
+** one second at the end of each positive UTC leap second,
+** introduced in order to keep UT1-UTC within +/- 0.9s. n.b. This
+** practice is under review, and in the future UT1-UTC may grow
+** essentially without limit.
+**
+** 4) The geographical coordinates are with respect to the ERFA_WGS84
+** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN: the
+** longitude required by the present function is east-positive
+** (i.e. right-handed), in accordance with geographical convention.
+**
+** 5) The polar motion xp,yp can be obtained from IERS bulletins. The
+** values are the coordinates (in radians) of the Celestial
+** Intermediate Pole with respect to the International Terrestrial
+** Reference System (see IERS Conventions 2003), measured along the
+** meridians 0 and 90 deg west respectively. For many applications,
+** xp and yp can be set to zero.
+**
+** Internally, the polar motion is stored in a form rotated onto
+** the local meridian.
+**
+** 6) If hm, the height above the ellipsoid of the observing station
+** in meters, is not known but phpa, the pressure in hPa (=mB), is
+** available, an adequate estimate of hm can be obtained from the
+** expression
+**
+** hm = -29.3 * tsl * log ( phpa / 1013.25 );
+**
+** where tsl is the approximate sea-level air temperature in K
+** (See Astrophysical Quantities, C.W.Allen, 3rd edition, section
+** 52). Similarly, if the pressure phpa is not known, it can be
+** estimated from the height of the observing station, hm, as
+** follows:
+**
+** phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) );
+**
+** Note, however, that the refraction is nearly proportional to the
+** pressure and that an accurate phpa value is important for
+** precise work.
+**
+** 7) The argument wl specifies the observing wavelength in
+** micrometers. The transition from optical to radio is assumed to
+** occur at 100 micrometers (about 3000 GHz).
+**
+** 8) It is advisable to take great care with units, as even unlikely
+** values of the input parameters are accepted and processed in
+** accordance with the models used.
+**
+** 9) In cases where the caller wishes to supply his own Earth
+** rotation information and refraction constants, the function
+** eraApc can be used instead of the present function.
+**
+** 10) This is one of several functions that inserts into the astrom
+** structure star-independent parameters needed for the chain of
+** astrometric transformations ICRS <-> GCRS <-> CIRS <-> observed.
+**
+** The various functions support different classes of observer and
+** portions of the transformation chain:
+**
+** functions observer transformation
+**
+** eraApcg eraApcg13 geocentric ICRS <-> GCRS
+** eraApci eraApci13 terrestrial ICRS <-> CIRS
+** eraApco eraApco13 terrestrial ICRS <-> observed
+** eraApcs eraApcs13 space ICRS <-> GCRS
+** eraAper eraAper13 terrestrial update Earth rotation
+** eraApio eraApio13 terrestrial CIRS <-> observed
+**
+** Those with names ending in "13" use contemporary ERFA models to
+** compute the various ephemerides. The others accept ephemerides
+** supplied by the caller.
+**
+** The transformation from ICRS to GCRS covers space motion,
+** parallax, light deflection, and aberration. From GCRS to CIRS
+** comprises frame bias and precession-nutation. From CIRS to
+** observed takes account of Earth rotation, polar motion, diurnal
+** aberration and parallax (unless subsumed into the ICRS <-> GCRS
+** transformation), and atmospheric refraction.
+**
+** 11) The context structure astrom produced by this function is used
+** by eraAtioq and eraAtoiq.
+**
+** Called:
+** eraUtctai UTC to TAI
+** eraTaitt TAI to TT
+** eraUtcut1 UTC to UT1
+** eraSp00 the TIO locator s', IERS 2000
+** eraEra00 Earth rotation angle, IAU 2000
+** eraRefco refraction constants for given ambient conditions
+** eraApio astrometry parameters, CIRS-observed
+**
+** This revision: 2021 February 24
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int j;
+ double tai1, tai2, tt1, tt2, ut11, ut12, sp, theta, refa, refb;
+
+
+/* UTC to other time scales. */
+ j = eraUtctai(utc1, utc2, &tai1, &tai2);
+ if ( j < 0 ) return -1;
+ j = eraTaitt(tai1, tai2, &tt1, &tt2);
+ j = eraUtcut1(utc1, utc2, dut1, &ut11, &ut12);
+ if ( j < 0 ) return -1;
+
+/* TIO locator s'. */
+ sp = eraSp00(tt1, tt2);
+
+/* Earth rotation angle. */
+ theta = eraEra00(ut11, ut12);
+
+/* Refraction constants A and B. */
+ eraRefco(phpa, tc, rh, wl, &refa, &refb);
+
+/* CIRS <-> observed astrometry parameters. */
+ eraApio(sp, theta, elong, phi, hm, xp, yp, refa, refb, astrom);
+
+/* Return any warning status. */
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/atcc13.c b/src/detail/erfa/atcc13.c
new file mode 100644
index 000000000..a34d95529
--- /dev/null
+++ b/src/detail/erfa/atcc13.c
@@ -0,0 +1,146 @@
+#include "erfa.h"
+
+void eraAtcc13(double rc, double dc,
+ double pr, double pd, double px, double rv,
+ double date1, double date2,
+ double *ra, double *da)
+/*
+** - - - - - - - - - -
+** e r a A t c c 1 3
+** - - - - - - - - - -
+**
+** Transform a star's ICRS catalog entry (epoch J2000.0) into ICRS
+** astrometric place.
+**
+** Given:
+** rc double ICRS right ascension at J2000.0 (radians, Note 1)
+** dc double ICRS declination at J2000.0 (radians, Note 1)
+** pr double RA proper motion (radians/year, Note 2)
+** pd double Dec proper motion (radians/year)
+** px double parallax (arcsec)
+** rv double radial velocity (km/s, +ve if receding)
+** date1 double TDB as a 2-part...
+** date2 double ...Julian Date (Note 3)
+**
+** Returned:
+** ra,da double* ICRS astrometric RA,Dec (radians)
+**
+** Notes:
+**
+** 1) Star data for an epoch other than J2000.0 (for example from the
+** Hipparcos catalog, which has an epoch of J1991.25) will require a
+** preliminary call to eraPmsafe before use.
+**
+** 2) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt.
+**
+** 3) The TDB date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TDB)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** resolution. The MJD method and the date & time methods are both
+** good compromises between resolution and convenience. For most
+** applications of this function the choice will not be at all
+** critical.
+**
+** TT can be used instead of TDB without any significant impact on
+** accuracy.
+**
+** Called:
+** eraApci13 astrometry parameters, ICRS-CIRS, 2013
+** eraAtccq quick catalog ICRS to astrometric
+**
+** This revision: 2021 April 18
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Star-independent astrometry parameters */
+ eraASTROM astrom;
+
+ double w;
+
+
+/* The transformation parameters. */
+ eraApci13(date1, date2, &astrom, &w);
+
+/* Catalog ICRS (epoch J2000.0) to astrometric. */
+ eraAtccq(rc, dc, pr, pd, px, rv, &astrom, ra, da);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/atccq.c b/src/detail/erfa/atccq.c
new file mode 100644
index 000000000..e69dcd326
--- /dev/null
+++ b/src/detail/erfa/atccq.c
@@ -0,0 +1,145 @@
+#include "erfa.h"
+
+void eraAtccq(double rc, double dc,
+ double pr, double pd, double px, double rv,
+ eraASTROM *astrom, double *ra, double *da)
+/*
+** - - - - - - - - -
+** e r a A t c c q
+** - - - - - - - - -
+**
+** Quick transformation of a star's ICRS catalog entry (epoch J2000.0)
+** into ICRS astrometric place, given precomputed star-independent
+** astrometry parameters.
+**
+** Use of this function is appropriate when efficiency is important and
+** where many star positions are to be transformed for one date. The
+** star-independent parameters can be obtained by calling one of the
+** functions eraApci[13], eraApcg[13], eraApco[13] or eraApcs[13].
+**
+** If the parallax and proper motions are zero the transformation has
+** no effect.
+**
+** Given:
+** rc,dc double ICRS RA,Dec at J2000.0 (radians)
+** pr double RA proper motion (radians/year, Note 3)
+** pd double Dec proper motion (radians/year)
+** px double parallax (arcsec)
+** rv double radial velocity (km/s, +ve if receding)
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double longitude + s' (radians)
+** xpl double polar motion xp wrt local meridian (radians)
+** ypl double polar motion yp wrt local meridian (radians)
+** sphi double sine of geodetic latitude
+** cphi double cosine of geodetic latitude
+** diurab double magnitude of diurnal aberration vector
+** eral double "local" Earth rotation angle (radians)
+** refa double refraction constant A (radians)
+** refb double refraction constant B (radians)
+**
+** Returned:
+** ra,da double* ICRS astrometric RA,Dec (radians)
+**
+** Notes:
+**
+** 1) All the vectors are with respect to BCRS axes.
+**
+** 2) Star data for an epoch other than J2000.0 (for example from the
+** Hipparcos catalog, which has an epoch of J1991.25) will require a
+** preliminary call to eraPmsafe before use.
+**
+** 3) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt.
+**
+** Called:
+** eraPmpx proper motion and parallax
+** eraC2s p-vector to spherical
+** eraAnp normalize angle into range 0 to 2pi
+**
+** This revision: 2021 April 18
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double p[3], w;
+
+
+/* Proper motion and parallax, giving BCRS coordinate direction. */
+ eraPmpx(rc, dc, pr, pd, px, rv, astrom->pmt, astrom->eb, p);
+
+/* ICRS astrometric RA,Dec. */
+ eraC2s(p, &w, da);
+ *ra = eraAnp(w);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/atci13.c b/src/detail/erfa/atci13.c
new file mode 100644
index 000000000..89a02f1d2
--- /dev/null
+++ b/src/detail/erfa/atci13.c
@@ -0,0 +1,161 @@
+#include "erfa.h"
+
+void eraAtci13(double rc, double dc,
+ double pr, double pd, double px, double rv,
+ double date1, double date2,
+ double *ri, double *di, double *eo)
+/*
+** - - - - - - - - - -
+** e r a A t c i 1 3
+** - - - - - - - - - -
+**
+** Transform ICRS star data, epoch J2000.0, to CIRS.
+**
+** Given:
+** rc double ICRS right ascension at J2000.0 (radians, Note 1)
+** dc double ICRS declination at J2000.0 (radians, Note 1)
+** pr double RA proper motion (radians/year, Note 2)
+** pd double Dec proper motion (radians/year)
+** px double parallax (arcsec)
+** rv double radial velocity (km/s, +ve if receding)
+** date1 double TDB as a 2-part...
+** date2 double ...Julian Date (Note 3)
+**
+** Returned:
+** ri,di double* CIRS geocentric RA,Dec (radians)
+** eo double* equation of the origins (ERA-GST, radians, Note 5)
+**
+** Notes:
+**
+** 1) Star data for an epoch other than J2000.0 (for example from the
+** Hipparcos catalog, which has an epoch of J1991.25) will require a
+** preliminary call to eraPmsafe before use.
+**
+** 2) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt.
+**
+** 3) The TDB date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TDB)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** resolution. The MJD method and the date & time methods are both
+** good compromises between resolution and convenience. For most
+** applications of this function the choice will not be at all
+** critical.
+**
+** TT can be used instead of TDB without any significant impact on
+** accuracy.
+**
+** 4) The available accuracy is better than 1 milliarcsecond, limited
+** mainly by the precession-nutation model that is used, namely
+** IAU 2000A/2006. Very close to solar system bodies, additional
+** errors of up to several milliarcseconds can occur because of
+** unmodeled light deflection; however, the Sun's contribution is
+** taken into account, to first order. The accuracy limitations of
+** the ERFA function eraEpv00 (used to compute Earth position and
+** velocity) can contribute aberration errors of up to
+** 5 microarcseconds. Light deflection at the Sun's limb is
+** uncertain at the 0.4 mas level.
+**
+** 5) Should the transformation to (equinox based) apparent place be
+** required rather than (CIO based) intermediate place, subtract the
+** equation of the origins from the returned right ascension:
+** RA = RI - EO. (The eraAnp function can then be applied, as
+** required, to keep the result in the conventional 0-2pi range.)
+**
+** Called:
+** eraApci13 astrometry parameters, ICRS-CIRS, 2013
+** eraAtciq quick ICRS to CIRS
+**
+** This revision: 2022 May 3
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Star-independent astrometry parameters */
+ eraASTROM astrom;
+
+
+/* The transformation parameters. */
+ eraApci13(date1, date2, &astrom, eo);
+
+/* ICRS (epoch J2000.0) to CIRS. */
+ eraAtciq(rc, dc, pr, pd, px, rv, &astrom, ri, di);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/atciq.c b/src/detail/erfa/atciq.c
new file mode 100644
index 000000000..d967841e1
--- /dev/null
+++ b/src/detail/erfa/atciq.c
@@ -0,0 +1,154 @@
+#include "erfa.h"
+
+void eraAtciq(double rc, double dc,
+ double pr, double pd, double px, double rv,
+ eraASTROM *astrom, double *ri, double *di)
+/*
+** - - - - - - - - -
+** e r a A t c i q
+** - - - - - - - - -
+**
+** Quick ICRS, epoch J2000.0, to CIRS transformation, given precomputed
+** star-independent astrometry parameters.
+**
+** Use of this function is appropriate when efficiency is important and
+** where many star positions are to be transformed for one date. The
+** star-independent parameters can be obtained by calling one of the
+** functions eraApci[13], eraApcg[13], eraApco[13] or eraApcs[13].
+**
+** If the parallax and proper motions are zero the eraAtciqz function
+** can be used instead.
+**
+** Given:
+** rc,dc double ICRS RA,Dec at J2000.0 (radians, Note 1)
+** pr double RA proper motion (radians/year, Note 2)
+** pd double Dec proper motion (radians/year)
+** px double parallax (arcsec)
+** rv double radial velocity (km/s, +ve if receding)
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double longitude + s' (radians)
+** xpl double polar motion xp wrt local meridian (radians)
+** ypl double polar motion yp wrt local meridian (radians)
+** sphi double sine of geodetic latitude
+** cphi double cosine of geodetic latitude
+** diurab double magnitude of diurnal aberration vector
+** eral double "local" Earth rotation angle (radians)
+** refa double refraction constant A (radians)
+** refb double refraction constant B (radians)
+**
+** Returned:
+** ri,di double CIRS RA,Dec (radians)
+**
+** Notes:
+**
+** 1) Star data for an epoch other than J2000.0 (for example from the
+** Hipparcos catalog, which has an epoch of J1991.25) will require a
+** preliminary call to eraPmsafe before use.
+**
+** 2) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt.
+**
+** Called:
+** eraPmpx proper motion and parallax
+** eraLdsun light deflection by the Sun
+** eraAb stellar aberration
+** eraRxp product of r-matrix and pv-vector
+** eraC2s p-vector to spherical
+** eraAnp normalize angle into range 0 to 2pi
+**
+** This revision: 2021 April 19
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double pco[3], pnat[3], ppr[3], pi[3], w;
+
+
+/* Proper motion and parallax, giving BCRS coordinate direction. */
+ eraPmpx(rc, dc, pr, pd, px, rv, astrom->pmt, astrom->eb, pco);
+
+/* Light deflection by the Sun, giving BCRS natural direction. */
+ eraLdsun(pco, astrom->eh, astrom->em, pnat);
+
+/* Aberration, giving GCRS proper direction. */
+ eraAb(pnat, astrom->v, astrom->em, astrom->bm1, ppr);
+
+/* Bias-precession-nutation, giving CIRS proper direction. */
+ eraRxp(astrom->bpn, ppr, pi);
+
+/* CIRS RA,Dec. */
+ eraC2s(pi, &w, di);
+ *ri = eraAnp(w);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/atciqn.c b/src/detail/erfa/atciqn.c
new file mode 100644
index 000000000..aa4f2f2db
--- /dev/null
+++ b/src/detail/erfa/atciqn.c
@@ -0,0 +1,193 @@
+#include "erfa.h"
+
+void eraAtciqn(double rc, double dc, double pr, double pd,
+ double px, double rv, eraASTROM *astrom,
+ int n, eraLDBODY b[], double *ri, double *di)
+/*
+** - - - - - - - - - -
+** e r a A t c i q n
+** - - - - - - - - - -
+**
+** Quick ICRS, epoch J2000.0, to CIRS transformation, given precomputed
+** star-independent astrometry parameters plus a list of light-
+** deflecting bodies.
+**
+** Use of this function is appropriate when efficiency is important and
+** where many star positions are to be transformed for one date. The
+** star-independent parameters can be obtained by calling one of the
+** functions eraApci[13], eraApcg[13], eraApco[13] or eraApcs[13].
+**
+**
+** If the only light-deflecting body to be taken into account is the
+** Sun, the eraAtciq function can be used instead. If in addition the
+** parallax and proper motions are zero, the eraAtciqz function can be
+** used.
+**
+** Given:
+** rc,dc double ICRS RA,Dec at J2000.0 (radians)
+** pr double RA proper motion (radians/year, Note 3)
+** pd double Dec proper motion (radians/year)
+** px double parallax (arcsec)
+** rv double radial velocity (km/s, +ve if receding)
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double longitude + s' (radians)
+** xpl double polar motion xp wrt local meridian (radians)
+** ypl double polar motion yp wrt local meridian (radians)
+** sphi double sine of geodetic latitude
+** cphi double cosine of geodetic latitude
+** diurab double magnitude of diurnal aberration vector
+** eral double "local" Earth rotation angle (radians)
+** refa double refraction constant A (radians)
+** refb double refraction constant B (radians)
+** n int number of bodies (Note 3)
+** b eraLDBODY[n] data for each of the n bodies (Notes 3,4):
+** bm double mass of the body (solar masses, Note 5)
+** dl double deflection limiter (Note 6)
+** pv [2][3] barycentric PV of the body (au, au/day)
+**
+** Returned:
+** ri,di double CIRS RA,Dec (radians)
+**
+** Notes:
+**
+** 1) Star data for an epoch other than J2000.0 (for example from the
+** Hipparcos catalog, which has an epoch of J1991.25) will require a
+** preliminary call to eraPmsafe before use.
+**
+** 2) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt.
+**
+** 3) The struct b contains n entries, one for each body to be
+** considered. If n = 0, no gravitational light deflection will be
+** applied, not even for the Sun.
+**
+** 4) The struct b should include an entry for the Sun as well as for
+** any planet or other body to be taken into account. The entries
+** should be in the order in which the light passes the body.
+**
+** 5) In the entry in the b struct for body i, the mass parameter
+** b[i].bm can, as required, be adjusted in order to allow for such
+** effects as quadrupole field.
+**
+** 6) The deflection limiter parameter b[i].dl is phi^2/2, where phi is
+** the angular separation (in radians) between star and body at
+** which limiting is applied. As phi shrinks below the chosen
+** threshold, the deflection is artificially reduced, reaching zero
+** for phi = 0. Example values suitable for a terrestrial
+** observer, together with masses, are as follows:
+**
+** body i b[i].bm b[i].dl
+**
+** Sun 1.0 6e-6
+** Jupiter 0.00095435 3e-9
+** Saturn 0.00028574 3e-10
+**
+** 7) For efficiency, validation of the contents of the b array is
+** omitted. The supplied masses must be greater than zero, the
+** position and velocity vectors must be right, and the deflection
+** limiter greater than zero.
+**
+** Called:
+** eraPmpx proper motion and parallax
+** eraLdn light deflection by n bodies
+** eraAb stellar aberration
+** eraRxp product of r-matrix and pv-vector
+** eraC2s p-vector to spherical
+** eraAnp normalize angle into range 0 to 2pi
+**
+** This revision: 2021 April 3
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double pco[3], pnat[3], ppr[3], pi[3], w;
+
+
+/* Proper motion and parallax, giving BCRS coordinate direction. */
+ eraPmpx(rc, dc, pr, pd, px, rv, astrom->pmt, astrom->eb, pco);
+
+/* Light deflection, giving BCRS natural direction. */
+ eraLdn(n, b, astrom->eb, pco, pnat);
+
+/* Aberration, giving GCRS proper direction. */
+ eraAb(pnat, astrom->v, astrom->em, astrom->bm1, ppr);
+
+/* Bias-precession-nutation, giving CIRS proper direction. */
+ eraRxp(astrom->bpn, ppr, pi);
+
+/* CIRS RA,Dec. */
+ eraC2s(pi, &w, di);
+ *ri = eraAnp(w);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/atciqz.c b/src/detail/erfa/atciqz.c
new file mode 100644
index 000000000..ef0ab1e28
--- /dev/null
+++ b/src/detail/erfa/atciqz.c
@@ -0,0 +1,155 @@
+#include "erfa.h"
+
+void eraAtciqz(double rc, double dc, eraASTROM *astrom,
+ double *ri, double *di)
+/*
+** - - - - - - - - - -
+** e r a A t c i q z
+** - - - - - - - - - -
+**
+** Quick ICRS to CIRS transformation, given precomputed star-
+** independent astrometry parameters, and assuming zero parallax and
+** proper motion.
+**
+** Use of this function is appropriate when efficiency is important and
+** where many star positions are to be transformed for one date. The
+** star-independent parameters can be obtained by calling one of the
+** functions eraApci[13], eraApcg[13], eraApco[13] or eraApcs[13].
+**
+** The corresponding function for the case of non-zero parallax and
+** proper motion is eraAtciq.
+**
+** Given:
+** rc,dc double ICRS astrometric RA,Dec (radians)
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double longitude + s' (radians)
+** xpl double polar motion xp wrt local meridian (radians)
+** ypl double polar motion yp wrt local meridian (radians)
+** sphi double sine of geodetic latitude
+** cphi double cosine of geodetic latitude
+** diurab double magnitude of diurnal aberration vector
+** eral double "local" Earth rotation angle (radians)
+** refa double refraction constant A (radians)
+** refb double refraction constant B (radians)
+**
+** Returned:
+** ri,di double CIRS RA,Dec (radians)
+**
+** Note:
+**
+** All the vectors are with respect to BCRS axes.
+**
+** References:
+**
+** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to
+** the Astronomical Almanac, 3rd ed., University Science Books
+** (2013).
+**
+** Klioner, Sergei A., "A practical relativistic model for micro-
+** arcsecond astrometry in space", Astr. J. 125, 1580-1597 (2003).
+**
+** Called:
+** eraS2c spherical coordinates to unit vector
+** eraLdsun light deflection due to Sun
+** eraAb stellar aberration
+** eraRxp product of r-matrix and p-vector
+** eraC2s p-vector to spherical
+** eraAnp normalize angle into range +/- pi
+**
+** This revision: 2013 October 9
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double pco[3], pnat[3], ppr[3], pi[3], w;
+
+
+/* BCRS coordinate direction (unit vector). */
+ eraS2c(rc, dc, pco);
+
+/* Light deflection by the Sun, giving BCRS natural direction. */
+ eraLdsun(pco, astrom->eh, astrom->em, pnat);
+
+/* Aberration, giving GCRS proper direction. */
+ eraAb(pnat, astrom->v, astrom->em, astrom->bm1, ppr);
+
+/* Bias-precession-nutation, giving CIRS proper direction. */
+ eraRxp(astrom->bpn, ppr, pi);
+
+/* CIRS RA,Dec. */
+ eraC2s(pi, &w, di);
+ *ri = eraAnp(w);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/atco13.c b/src/detail/erfa/atco13.c
new file mode 100644
index 000000000..f7ba1bf81
--- /dev/null
+++ b/src/detail/erfa/atco13.c
@@ -0,0 +1,246 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraAtco13(double rc, double dc,
+ double pr, double pd, double px, double rv,
+ double utc1, double utc2, double dut1,
+ double elong, double phi, double hm, double xp, double yp,
+ double phpa, double tc, double rh, double wl,
+ double *aob, double *zob, double *hob,
+ double *dob, double *rob, double *eo)
+/*
+** - - - - - - - - - -
+** e r a A t c o 1 3
+** - - - - - - - - - -
+**
+** ICRS RA,Dec to observed place. The caller supplies UTC, site
+** coordinates, ambient air conditions and observing wavelength.
+**
+** ERFA models are used for the Earth ephemeris, bias-precession-
+** nutation, Earth orientation and refraction.
+**
+** Given:
+** rc,dc double ICRS right ascension at J2000.0 (radians, Note 1)
+** pr double RA proper motion (radians/year, Note 2)
+** pd double Dec proper motion (radians/year)
+** px double parallax (arcsec)
+** rv double radial velocity (km/s, +ve if receding)
+** utc1 double UTC as a 2-part...
+** utc2 double ...quasi Julian Date (Notes 3-4)
+** dut1 double UT1-UTC (seconds, Note 5)
+** elong double longitude (radians, east +ve, Note 6)
+** phi double latitude (geodetic, radians, Note 6)
+** hm double height above ellipsoid (m, geodetic, Notes 6,8)
+** xp,yp double polar motion coordinates (radians, Note 7)
+** phpa double pressure at the observer (hPa = mB, Note 8)
+** tc double ambient temperature at the observer (deg C)
+** rh double relative humidity at the observer (range 0-1)
+** wl double wavelength (micrometers, Note 9)
+**
+** Returned:
+** aob double* observed azimuth (radians: N=0,E=90)
+** zob double* observed zenith distance (radians)
+** hob double* observed hour angle (radians)
+** dob double* observed declination (radians)
+** rob double* observed right ascension (CIO-based, radians)
+** eo double* equation of the origins (ERA-GST, radians)
+**
+** Returned (function value):
+** int status: +1 = dubious year (Note 4)
+** 0 = OK
+** -1 = unacceptable date
+**
+** Notes:
+**
+** 1) Star data for an epoch other than J2000.0 (for example from the
+** Hipparcos catalog, which has an epoch of J1991.25) will require
+** a preliminary call to eraPmsafe before use.
+**
+** 2) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt.
+**
+** 3) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any
+** convenient way between the two arguments, for example where utc1
+** is the Julian Day Number and utc2 is the fraction of a day.
+**
+** However, JD cannot unambiguously represent UTC during a leap
+** second unless special measures are taken. The convention in the
+** present function is that the JD day represents UTC days whether
+** the length is 86399, 86400 or 86401 SI seconds.
+**
+** Applications should use the function eraDtf2d to convert from
+** calendar date and time of day into 2-part quasi Julian Date, as
+** it implements the leap-second-ambiguity convention just
+** described.
+**
+** 4) The warning status "dubious year" flags UTCs that predate the
+** introduction of the time scale or that are too far in the
+** future to be trusted. See eraDat for further details.
+**
+** 5) UT1-UTC is tabulated in IERS bulletins. It increases by exactly
+** one second at the end of each positive UTC leap second,
+** introduced in order to keep UT1-UTC within +/- 0.9s. n.b. This
+** practice is under review, and in the future UT1-UTC may grow
+** essentially without limit.
+**
+** 6) The geographical coordinates are with respect to the ERFA_WGS84
+** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN: the
+** longitude required by the present function is east-positive
+** (i.e. right-handed), in accordance with geographical convention.
+**
+** 7) The polar motion xp,yp can be obtained from IERS bulletins. The
+** values are the coordinates (in radians) of the Celestial
+** Intermediate Pole with respect to the International Terrestrial
+** Reference System (see IERS Conventions 2003), measured along the
+** meridians 0 and 90 deg west respectively. For many
+** applications, xp and yp can be set to zero.
+**
+** 8) If hm, the height above the ellipsoid of the observing station
+** in meters, is not known but phpa, the pressure in hPa (=mB),
+** is available, an adequate estimate of hm can be obtained from
+** the expression
+**
+** hm = -29.3 * tsl * log ( phpa / 1013.25 );
+**
+** where tsl is the approximate sea-level air temperature in K
+** (See Astrophysical Quantities, C.W.Allen, 3rd edition, section
+** 52). Similarly, if the pressure phpa is not known, it can be
+** estimated from the height of the observing station, hm, as
+** follows:
+**
+** phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) );
+**
+** Note, however, that the refraction is nearly proportional to
+** the pressure and that an accurate phpa value is important for
+** precise work.
+**
+** 9) The argument wl specifies the observing wavelength in
+** micrometers. The transition from optical to radio is assumed to
+** occur at 100 micrometers (about 3000 GHz).
+**
+** 10) The accuracy of the result is limited by the corrections for
+** refraction, which use a simple A*tan(z) + B*tan^3(z) model.
+** Providing the meteorological parameters are known accurately and
+** there are no gross local effects, the predicted observed
+** coordinates should be within 0.05 arcsec (optical) or 1 arcsec
+** (radio) for a zenith distance of less than 70 degrees, better
+** than 30 arcsec (optical or radio) at 85 degrees and better
+** than 20 arcmin (optical) or 30 arcmin (radio) at the horizon.
+**
+** Without refraction, the complementary functions eraAtco13 and
+** eraAtoc13 are self-consistent to better than 1 microarcsecond
+** all over the celestial sphere. With refraction included,
+** consistency falls off at high zenith distances, but is still
+** better than 0.05 arcsec at 85 degrees.
+**
+** 11) "Observed" Az,ZD means the position that would be seen by a
+** perfect geodetically aligned theodolite. (Zenith distance is
+** used rather than altitude in order to reflect the fact that no
+** allowance is made for depression of the horizon.) This is
+** related to the observed HA,Dec via the standard rotation, using
+** the geodetic latitude (corrected for polar motion), while the
+** observed HA and RA are related simply through the Earth rotation
+** angle and the site longitude. "Observed" RA,Dec or HA,Dec thus
+** means the position that would be seen by a perfect equatorial
+** with its polar axis aligned to the Earth's axis of rotation.
+**
+** 12) It is advisable to take great care with units, as even unlikely
+** values of the input parameters are accepted and processed in
+** accordance with the models used.
+**
+** Called:
+** eraApco13 astrometry parameters, ICRS-observed, 2013
+** eraAtciq quick ICRS to CIRS
+** eraAtioq quick CIRS to observed
+**
+** This revision: 2022 May 3
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int j;
+ eraASTROM astrom;
+ double ri, di;
+
+
+/* Star-independent astrometry parameters. */
+ j = eraApco13(utc1, utc2, dut1, elong, phi, hm, xp, yp,
+ phpa, tc, rh, wl, &astrom, eo);
+
+/* Abort if bad UTC. */
+ if ( j < 0 ) return j;
+
+/* Transform ICRS to CIRS. */
+ eraAtciq(rc, dc, pr, pd, px, rv, &astrom, &ri, &di);
+
+/* Transform CIRS to observed. */
+ eraAtioq(ri, di, &astrom, aob, zob, hob, dob, rob);
+
+/* Return OK/warning status. */
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/atic13.c b/src/detail/erfa/atic13.c
new file mode 100644
index 000000000..350b90024
--- /dev/null
+++ b/src/detail/erfa/atic13.c
@@ -0,0 +1,154 @@
+#include "erfa.h"
+
+void eraAtic13(double ri, double di, double date1, double date2,
+ double *rc, double *dc, double *eo)
+/*
+** - - - - - - - - - -
+** e r a A t i c 1 3
+** - - - - - - - - - -
+**
+** Transform star RA,Dec from geocentric CIRS to ICRS astrometric.
+**
+** Given:
+** ri,di double CIRS geocentric RA,Dec (radians)
+** date1 double TDB as a 2-part...
+** date2 double ...Julian Date (Note 1)
+**
+** Returned:
+** rc,dc double ICRS astrometric RA,Dec (radians)
+** eo double equation of the origins (ERA-GST, radians, Note 4)
+**
+** Notes:
+**
+** 1) The TDB date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TDB)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** resolution. The MJD method and the date & time methods are both
+** good compromises between resolution and convenience. For most
+** applications of this function the choice will not be at all
+** critical.
+**
+** TT can be used instead of TDB without any significant impact on
+** accuracy.
+**
+** 2) Iterative techniques are used for the aberration and light
+** deflection corrections so that the functions eraAtic13 (or
+** eraAticq) and eraAtci13 (or eraAtciq) are accurate inverses;
+** even at the edge of the Sun's disk the discrepancy is only about
+** 1 nanoarcsecond.
+**
+** 3) The available accuracy is better than 1 milliarcsecond, limited
+** mainly by the precession-nutation model that is used, namely
+** IAU 2000A/2006. Very close to solar system bodies, additional
+** errors of up to several milliarcseconds can occur because of
+** unmodeled light deflection; however, the Sun's contribution is
+** taken into account, to first order. The accuracy limitations of
+** the ERFA function eraEpv00 (used to compute Earth position and
+** velocity) can contribute aberration errors of up to
+** 5 microarcseconds. Light deflection at the Sun's limb is
+** uncertain at the 0.4 mas level.
+**
+** 4) Should the transformation to (equinox based) J2000.0 mean place
+** be required rather than (CIO based) ICRS coordinates, subtract the
+** equation of the origins from the returned right ascension:
+** RA = RI - EO. (The eraAnp function can then be applied, as
+** required, to keep the result in the conventional 0-2pi range.)
+**
+** Called:
+** eraApci13 astrometry parameters, ICRS-CIRS, 2013
+** eraAticq quick CIRS to ICRS astrometric
+**
+** This revision: 2022 May 3
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Star-independent astrometry parameters */
+ eraASTROM astrom;
+
+
+/* Star-independent astrometry parameters. */
+ eraApci13(date1, date2, &astrom, eo);
+
+/* CIRS to ICRS astrometric. */
+ eraAticq(ri, di, &astrom, rc, dc);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/aticq.c b/src/detail/erfa/aticq.c
new file mode 100644
index 000000000..ceed6dba3
--- /dev/null
+++ b/src/detail/erfa/aticq.c
@@ -0,0 +1,201 @@
+#include "erfa.h"
+
+void eraAticq(double ri, double di, eraASTROM *astrom,
+ double *rc, double *dc)
+/*
+** - - - - - - - - -
+** e r a A t i c q
+** - - - - - - - - -
+**
+** Quick CIRS RA,Dec to ICRS astrometric place, given the star-
+** independent astrometry parameters.
+**
+** Use of this function is appropriate when efficiency is important and
+** where many star positions are all to be transformed for one date.
+** The star-independent astrometry parameters can be obtained by
+** calling one of the functions eraApci[13], eraApcg[13], eraApco[13]
+** or eraApcs[13].
+**
+** Given:
+** ri,di double CIRS RA,Dec (radians)
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double longitude + s' (radians)
+** xpl double polar motion xp wrt local meridian (radians)
+** ypl double polar motion yp wrt local meridian (radians)
+** sphi double sine of geodetic latitude
+** cphi double cosine of geodetic latitude
+** diurab double magnitude of diurnal aberration vector
+** eral double "local" Earth rotation angle (radians)
+** refa double refraction constant A (radians)
+** refb double refraction constant B (radians)
+**
+** Returned:
+** rc,dc double ICRS astrometric RA,Dec (radians)
+**
+** Notes:
+**
+** 1) Only the Sun is taken into account in the light deflection
+** correction.
+**
+** 2) Iterative techniques are used for the aberration and light
+** deflection corrections so that the functions eraAtic13 (or
+** eraAticq) and eraAtci13 (or eraAtciq) are accurate inverses;
+** even at the edge of the Sun's disk the discrepancy is only about
+** 1 nanoarcsecond.
+**
+** Called:
+** eraS2c spherical coordinates to unit vector
+** eraTrxp product of transpose of r-matrix and p-vector
+** eraZp zero p-vector
+** eraAb stellar aberration
+** eraLdsun light deflection by the Sun
+** eraC2s p-vector to spherical
+** eraAnp normalize angle into range +/- pi
+**
+** This revision: 2013 October 9
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int j, i;
+ double pi[3], ppr[3], pnat[3], pco[3], w, d[3], before[3], r2, r,
+ after[3];
+
+
+/* CIRS RA,Dec to Cartesian. */
+ eraS2c(ri, di, pi);
+
+/* Bias-precession-nutation, giving GCRS proper direction. */
+ eraTrxp(astrom->bpn, pi, ppr);
+
+/* Aberration, giving GCRS natural direction. */
+ eraZp(d);
+ for (j = 0; j < 2; j++) {
+ r2 = 0.0;
+ for (i = 0; i < 3; i++) {
+ w = ppr[i] - d[i];
+ before[i] = w;
+ r2 += w*w;
+ }
+ r = sqrt(r2);
+ for (i = 0; i < 3; i++) {
+ before[i] /= r;
+ }
+ eraAb(before, astrom->v, astrom->em, astrom->bm1, after);
+ r2 = 0.0;
+ for (i = 0; i < 3; i++) {
+ d[i] = after[i] - before[i];
+ w = ppr[i] - d[i];
+ pnat[i] = w;
+ r2 += w*w;
+ }
+ r = sqrt(r2);
+ for (i = 0; i < 3; i++) {
+ pnat[i] /= r;
+ }
+ }
+
+/* Light deflection by the Sun, giving BCRS coordinate direction. */
+ eraZp(d);
+ for (j = 0; j < 5; j++) {
+ r2 = 0.0;
+ for (i = 0; i < 3; i++) {
+ w = pnat[i] - d[i];
+ before[i] = w;
+ r2 += w*w;
+ }
+ r = sqrt(r2);
+ for (i = 0; i < 3; i++) {
+ before[i] /= r;
+ }
+ eraLdsun(before, astrom->eh, astrom->em, after);
+ r2 = 0.0;
+ for (i = 0; i < 3; i++) {
+ d[i] = after[i] - before[i];
+ w = pnat[i] - d[i];
+ pco[i] = w;
+ r2 += w*w;
+ }
+ r = sqrt(r2);
+ for (i = 0; i < 3; i++) {
+ pco[i] /= r;
+ }
+ }
+
+/* ICRS astrometric RA,Dec. */
+ eraC2s(pco, &w, dc);
+ *rc = eraAnp(w);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/aticqn.c b/src/detail/erfa/aticqn.c
new file mode 100644
index 000000000..3756af489
--- /dev/null
+++ b/src/detail/erfa/aticqn.c
@@ -0,0 +1,239 @@
+#include "erfa.h"
+
+void eraAticqn(double ri, double di, eraASTROM *astrom,
+ int n, eraLDBODY b[], double *rc, double *dc)
+/*
+** - - - - - - - - - -
+** e r a A t i c q n
+** - - - - - - - - - -
+**
+** Quick CIRS to ICRS astrometric place transformation, given the star-
+** independent astrometry parameters plus a list of light-deflecting
+** bodies.
+**
+** Use of this function is appropriate when efficiency is important and
+** where many star positions are all to be transformed for one date.
+** The star-independent astrometry parameters can be obtained by
+** calling one of the functions eraApci[13], eraApcg[13], eraApco[13]
+** or eraApcs[13].
+*
+* If the only light-deflecting body to be taken into account is the
+* Sun, the eraAticq function can be used instead.
+**
+** Given:
+** ri,di double CIRS RA,Dec (radians)
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double longitude + s' (radians)
+** xpl double polar motion xp wrt local meridian (radians)
+** ypl double polar motion yp wrt local meridian (radians)
+** sphi double sine of geodetic latitude
+** cphi double cosine of geodetic latitude
+** diurab double magnitude of diurnal aberration vector
+** eral double "local" Earth rotation angle (radians)
+** refa double refraction constant A (radians)
+** refb double refraction constant B (radians)
+** n int number of bodies (Note 3)
+** b eraLDBODY[n] data for each of the n bodies (Notes 3,4):
+** bm double mass of the body (solar masses, Note 5)
+** dl double deflection limiter (Note 6)
+** pv [2][3] barycentric PV of the body (au, au/day)
+**
+** Returned:
+** rc,dc double ICRS astrometric RA,Dec (radians)
+**
+** Notes:
+**
+** 1) Iterative techniques are used for the aberration and light
+** deflection corrections so that the functions eraAticqn and
+** eraAtciqn are accurate inverses; even at the edge of the Sun's
+** disk the discrepancy is only about 1 nanoarcsecond.
+**
+** 2) If the only light-deflecting body to be taken into account is the
+** Sun, the eraAticq function can be used instead.
+**
+** 3) The struct b contains n entries, one for each body to be
+** considered. If n = 0, no gravitational light deflection will be
+** applied, not even for the Sun.
+**
+** 4) The struct b should include an entry for the Sun as well as for
+** any planet or other body to be taken into account. The entries
+** should be in the order in which the light passes the body.
+**
+** 5) In the entry in the b struct for body i, the mass parameter
+** b[i].bm can, as required, be adjusted in order to allow for such
+** effects as quadrupole field.
+**
+** 6) The deflection limiter parameter b[i].dl is phi^2/2, where phi is
+** the angular separation (in radians) between star and body at
+** which limiting is applied. As phi shrinks below the chosen
+** threshold, the deflection is artificially reduced, reaching zero
+** for phi = 0. Example values suitable for a terrestrial
+** observer, together with masses, are as follows:
+**
+** body i b[i].bm b[i].dl
+**
+** Sun 1.0 6e-6
+** Jupiter 0.00095435 3e-9
+** Saturn 0.00028574 3e-10
+**
+** 7) For efficiency, validation of the contents of the b array is
+** omitted. The supplied masses must be greater than zero, the
+** position and velocity vectors must be right, and the deflection
+** limiter greater than zero.
+**
+** Called:
+** eraS2c spherical coordinates to unit vector
+** eraTrxp product of transpose of r-matrix and p-vector
+** eraZp zero p-vector
+** eraAb stellar aberration
+** eraLdn light deflection by n bodies
+** eraC2s p-vector to spherical
+** eraAnp normalize angle into range +/- pi
+**
+** This revision: 2021 January 6
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int j, i;
+ double pi[3], ppr[3], pnat[3], pco[3], w, d[3], before[3], r2, r,
+ after[3];
+
+
+/* CIRS RA,Dec to Cartesian. */
+ eraS2c(ri, di, pi);
+
+/* Bias-precession-nutation, giving GCRS proper direction. */
+ eraTrxp(astrom->bpn, pi, ppr);
+
+/* Aberration, giving GCRS natural direction. */
+ eraZp(d);
+ for (j = 0; j < 2; j++) {
+ r2 = 0.0;
+ for (i = 0; i < 3; i++) {
+ w = ppr[i] - d[i];
+ before[i] = w;
+ r2 += w*w;
+ }
+ r = sqrt(r2);
+ for (i = 0; i < 3; i++) {
+ before[i] /= r;
+ }
+ eraAb(before, astrom->v, astrom->em, astrom->bm1, after);
+ r2 = 0.0;
+ for (i = 0; i < 3; i++) {
+ d[i] = after[i] - before[i];
+ w = ppr[i] - d[i];
+ pnat[i] = w;
+ r2 += w*w;
+ }
+ r = sqrt(r2);
+ for (i = 0; i < 3; i++) {
+ pnat[i] /= r;
+ }
+ }
+
+/* Light deflection, giving BCRS coordinate direction. */
+ eraZp(d);
+ for (j = 0; j < 5; j++) {
+ r2 = 0.0;
+ for (i = 0; i < 3; i++) {
+ w = pnat[i] - d[i];
+ before[i] = w;
+ r2 += w*w;
+ }
+ r = sqrt(r2);
+ for (i = 0; i < 3; i++) {
+ before[i] /= r;
+ }
+ eraLdn(n, b, astrom->eb, before, after);
+ r2 = 0.0;
+ for (i = 0; i < 3; i++) {
+ d[i] = after[i] - before[i];
+ w = pnat[i] - d[i];
+ pco[i] = w;
+ r2 += w*w;
+ }
+ r = sqrt(r2);
+ for (i = 0; i < 3; i++) {
+ pco[i] /= r;
+ }
+ }
+
+/* ICRS astrometric RA,Dec. */
+ eraC2s(pco, &w, dc);
+ *rc = eraAnp(w);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/atio13.c b/src/detail/erfa/atio13.c
new file mode 100644
index 000000000..7487d75c9
--- /dev/null
+++ b/src/detail/erfa/atio13.c
@@ -0,0 +1,225 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraAtio13(double ri, double di,
+ double utc1, double utc2, double dut1,
+ double elong, double phi, double hm, double xp, double yp,
+ double phpa, double tc, double rh, double wl,
+ double *aob, double *zob, double *hob,
+ double *dob, double *rob)
+/*
+** - - - - - - - - - -
+** e r a A t i o 1 3
+** - - - - - - - - - -
+**
+** CIRS RA,Dec to observed place. The caller supplies UTC, site
+** coordinates, ambient air conditions and observing wavelength.
+**
+** Given:
+** ri double CIRS right ascension (CIO-based, radians)
+** di double CIRS declination (radians)
+** utc1 double UTC as a 2-part...
+** utc2 double ...quasi Julian Date (Notes 1,2)
+** dut1 double UT1-UTC (seconds, Note 3)
+** elong double longitude (radians, east +ve, Note 4)
+** phi double geodetic latitude (radians, Note 4)
+** hm double height above ellipsoid (m, geodetic Notes 4,6)
+** xp,yp double polar motion coordinates (radians, Note 5)
+** phpa double pressure at the observer (hPa = mB, Note 6)
+** tc double ambient temperature at the observer (deg C)
+** rh double relative humidity at the observer (range 0-1)
+** wl double wavelength (micrometers, Note 7)
+**
+** Returned:
+** aob double* observed azimuth (radians: N=0,E=90)
+** zob double* observed zenith distance (radians)
+** hob double* observed hour angle (radians)
+** dob double* observed declination (radians)
+** rob double* observed right ascension (CIO-based, radians)
+**
+** Returned (function value):
+** int status: +1 = dubious year (Note 2)
+** 0 = OK
+** -1 = unacceptable date
+**
+** Notes:
+**
+** 1) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any
+** convenient way between the two arguments, for example where utc1
+** is the Julian Day Number and utc2 is the fraction of a day.
+**
+** However, JD cannot unambiguously represent UTC during a leap
+** second unless special measures are taken. The convention in the
+** present function is that the JD day represents UTC days whether
+** the length is 86399, 86400 or 86401 SI seconds.
+**
+** Applications should use the function eraDtf2d to convert from
+** calendar date and time of day into 2-part quasi Julian Date, as
+** it implements the leap-second-ambiguity convention just
+** described.
+**
+** 2) The warning status "dubious year" flags UTCs that predate the
+** introduction of the time scale or that are too far in the
+** future to be trusted. See eraDat for further details.
+**
+** 3) UT1-UTC is tabulated in IERS bulletins. It increases by exactly
+** one second at the end of each positive UTC leap second,
+** introduced in order to keep UT1-UTC within +/- 0.9s. n.b. This
+** practice is under review, and in the future UT1-UTC may grow
+** essentially without limit.
+**
+** 4) The geographical coordinates are with respect to the ERFA_WGS84
+** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN: the
+** longitude required by the present function is east-positive
+** (i.e. right-handed), in accordance with geographical convention.
+**
+** 5) The polar motion xp,yp can be obtained from IERS bulletins. The
+** values are the coordinates (in radians) of the Celestial
+** Intermediate Pole with respect to the International Terrestrial
+** Reference System (see IERS Conventions 2003), measured along the
+** meridians 0 and 90 deg west respectively. For many
+** applications, xp and yp can be set to zero.
+**
+** 6) If hm, the height above the ellipsoid of the observing station
+** in meters, is not known but phpa, the pressure in hPa (=mB), is
+** available, an adequate estimate of hm can be obtained from the
+** expression
+**
+** hm = -29.3 * tsl * log ( phpa / 1013.25 );
+**
+** where tsl is the approximate sea-level air temperature in K
+** (See Astrophysical Quantities, C.W.Allen, 3rd edition, section
+** 52). Similarly, if the pressure phpa is not known, it can be
+** estimated from the height of the observing station, hm, as
+** follows:
+**
+** phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) );
+**
+** Note, however, that the refraction is nearly proportional to
+** the pressure and that an accurate phpa value is important for
+** precise work.
+**
+** 7) The argument wl specifies the observing wavelength in
+** micrometers. The transition from optical to radio is assumed to
+** occur at 100 micrometers (about 3000 GHz).
+**
+** 8) "Observed" Az,ZD means the position that would be seen by a
+** perfect geodetically aligned theodolite. (Zenith distance is
+** used rather than altitude in order to reflect the fact that no
+** allowance is made for depression of the horizon.) This is
+** related to the observed HA,Dec via the standard rotation, using
+** the geodetic latitude (corrected for polar motion), while the
+** observed HA and RA are related simply through the Earth rotation
+** angle and the site longitude. "Observed" RA,Dec or HA,Dec thus
+** means the position that would be seen by a perfect equatorial
+** with its polar axis aligned to the Earth's axis of rotation.
+**
+** 9) The accuracy of the result is limited by the corrections for
+** refraction, which use a simple A*tan(z) + B*tan^3(z) model.
+** Providing the meteorological parameters are known accurately and
+** there are no gross local effects, the predicted astrometric
+** coordinates should be within 0.05 arcsec (optical) or 1 arcsec
+** (radio) for a zenith distance of less than 70 degrees, better
+** than 30 arcsec (optical or radio) at 85 degrees and better
+** than 20 arcmin (optical) or 30 arcmin (radio) at the horizon.
+**
+** 10) The complementary functions eraAtio13 and eraAtoi13 are self-
+** consistent to better than 1 microarcsecond all over the
+** celestial sphere.
+**
+** 11) It is advisable to take great care with units, as even unlikely
+** values of the input parameters are accepted and processed in
+** accordance with the models used.
+**
+** Called:
+** eraApio13 astrometry parameters, CIRS-observed, 2013
+** eraAtioq quick CIRS to observed
+**
+** This revision: 2021 February 24
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int j;
+ eraASTROM astrom;
+
+
+/* Star-independent astrometry parameters for CIRS->observed. */
+ j = eraApio13(utc1, utc2, dut1, elong, phi, hm, xp, yp,
+ phpa, tc, rh, wl, &astrom);
+
+/* Abort if bad UTC. */
+ if ( j < 0 ) return j;
+
+/* Transform CIRS to observed. */
+ eraAtioq(ri, di, &astrom, aob, zob, hob, dob, rob);
+
+/* Return OK/warning status. */
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/atioq.c b/src/detail/erfa/atioq.c
new file mode 100644
index 000000000..28c965dc0
--- /dev/null
+++ b/src/detail/erfa/atioq.c
@@ -0,0 +1,250 @@
+#include "erfa.h"
+
+void eraAtioq(double ri, double di, eraASTROM *astrom,
+ double *aob, double *zob,
+ double *hob, double *dob, double *rob)
+/*
+** - - - - - - - - -
+** e r a A t i o q
+** - - - - - - - - -
+**
+** Quick CIRS to observed place transformation.
+**
+** Use of this function is appropriate when efficiency is important and
+** where many star positions are all to be transformed for one date.
+** The star-independent astrometry parameters can be obtained by
+** calling eraApio[13] or eraApco[13].
+**
+** Given:
+** ri double CIRS right ascension
+** di double CIRS declination
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double longitude + s' (radians)
+** xpl double polar motion xp wrt local meridian (radians)
+** ypl double polar motion yp wrt local meridian (radians)
+** sphi double sine of geodetic latitude
+** cphi double cosine of geodetic latitude
+** diurab double magnitude of diurnal aberration vector
+** eral double "local" Earth rotation angle (radians)
+** refa double refraction constant A (radians)
+** refb double refraction constant B (radians)
+**
+** Returned:
+** aob double* observed azimuth (radians: N=0,E=90)
+** zob double* observed zenith distance (radians)
+** hob double* observed hour angle (radians)
+** dob double* observed declination (radians)
+** rob double* observed right ascension (CIO-based, radians)
+**
+** Notes:
+**
+** 1) This function returns zenith distance rather than altitude in
+** order to reflect the fact that no allowance is made for
+** depression of the horizon.
+**
+** 2) The accuracy of the result is limited by the corrections for
+** refraction, which use a simple A*tan(z) + B*tan^3(z) model.
+** Providing the meteorological parameters are known accurately and
+** there are no gross local effects, the predicted observed
+** coordinates should be within 0.05 arcsec (optical) or 1 arcsec
+** (radio) for a zenith distance of less than 70 degrees, better
+** than 30 arcsec (optical or radio) at 85 degrees and better
+** than 20 arcmin (optical) or 30 arcmin (radio) at the horizon.
+**
+** Without refraction, the complementary functions eraAtioq and
+** eraAtoiq are self-consistent to better than 1 microarcsecond all
+** over the celestial sphere. With refraction included, consistency
+** falls off at high zenith distances, but is still better than
+** 0.05 arcsec at 85 degrees.
+**
+** 3) It is advisable to take great care with units, as even unlikely
+** values of the input parameters are accepted and processed in
+** accordance with the models used.
+**
+** 4) The CIRS RA,Dec is obtained from a star catalog mean place by
+** allowing for space motion, parallax, the Sun's gravitational lens
+** effect, annual aberration and precession-nutation. For star
+** positions in the ICRS, these effects can be applied by means of
+** the eraAtci13 (etc.) functions. Starting from classical "mean
+** place" systems, additional transformations will be needed first.
+**
+** 5) "Observed" Az,El means the position that would be seen by a
+** perfect geodetically aligned theodolite. This is obtained from
+** the CIRS RA,Dec by allowing for Earth orientation and diurnal
+** aberration, rotating from equator to horizon coordinates, and
+** then adjusting for refraction. The HA,Dec is obtained by
+** rotating back into equatorial coordinates, and is the position
+** that would be seen by a perfect equatorial with its polar axis
+** aligned to the Earth's axis of rotation. Finally, the
+** (CIO-based) RA is obtained by subtracting the HA from the local
+** ERA.
+**
+** 6) The star-independent CIRS-to-observed-place parameters in ASTROM
+** may be computed with eraApio[13] or eraApco[13]. If nothing has
+** changed significantly except the time, eraAper[13] may be used to
+** perform the requisite adjustment to the astrom structure.
+**
+** Called:
+** eraS2c spherical coordinates to unit vector
+** eraC2s p-vector to spherical
+** eraAnp normalize angle into range 0 to 2pi
+**
+** This revision: 2022 August 30
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Minimum cos(alt) and sin(alt) for refraction purposes */
+ const double CELMIN = 1e-6;
+ const double SELMIN = 0.05;
+
+ double v[3], x, y, z, sx, cx, sy, cy, xhd, yhd, zhd, f,
+ xhdt, yhdt, zhdt, xaet, yaet, zaet, azobs, r, tz, w, del,
+ cosdel, xaeo, yaeo, zaeo, zdobs, hmobs, dcobs, raobs;
+
+
+/* CIRS RA,Dec to Cartesian -HA,Dec. */
+ eraS2c(ri-astrom->eral, di, v);
+ x = v[0];
+ y = v[1];
+ z = v[2];
+
+/* Polar motion. */
+ sx = sin(astrom->xpl);
+ cx = cos(astrom->xpl);
+ sy = sin(astrom->ypl);
+ cy = cos(astrom->ypl);
+ xhd = cx*x + sx*z;
+ yhd = sx*sy*x + cy*y - cx*sy*z;
+ zhd = -sx*cy*x + sy*y + cx*cy*z;
+
+/* Diurnal aberration. */
+ f = ( 1.0 - astrom->diurab*yhd );
+ xhdt = f * xhd;
+ yhdt = f * ( yhd + astrom->diurab );
+ zhdt = f * zhd;
+
+/* Cartesian -HA,Dec to Cartesian Az,El (S=0,E=90). */
+ xaet = astrom->sphi*xhdt - astrom->cphi*zhdt;
+ yaet = yhdt;
+ zaet = astrom->cphi*xhdt + astrom->sphi*zhdt;
+
+/* Azimuth (N=0,E=90). */
+ azobs = ( xaet != 0.0 || yaet != 0.0 ) ? atan2(yaet,-xaet) : 0.0;
+
+/* ---------- */
+/* Refraction */
+/* ---------- */
+
+/* Cosine and sine of altitude, with precautions. */
+ r = sqrt(xaet*xaet + yaet*yaet);
+ r = r > CELMIN ? r : CELMIN;
+ z = zaet > SELMIN ? zaet : SELMIN;
+
+/* A*tan(z)+B*tan^3(z) model, with Newton-Raphson correction. */
+ tz = r/z;
+ w = astrom->refb*tz*tz;
+ del = ( astrom->refa + w ) * tz /
+ ( 1.0 + ( astrom->refa + 3.0*w ) / ( z*z ) );
+
+/* Apply the change, giving observed vector. */
+ cosdel = 1.0 - del*del/2.0;
+ f = cosdel - del*z/r;
+ xaeo = xaet*f;
+ yaeo = yaet*f;
+ zaeo = cosdel*zaet + del*r;
+
+/* Observed ZD. */
+ zdobs = atan2(sqrt(xaeo*xaeo+yaeo*yaeo), zaeo);
+
+/* Az/El vector to HA,Dec vector (both right-handed). */
+ v[0] = astrom->sphi*xaeo + astrom->cphi*zaeo;
+ v[1] = yaeo;
+ v[2] = - astrom->cphi*xaeo + astrom->sphi*zaeo;
+
+/* To spherical -HA,Dec. */
+ eraC2s ( v, &hmobs, &dcobs );
+
+/* Right ascension (with respect to CIO). */
+ raobs = astrom->eral + hmobs;
+
+/* Return the results. */
+ *aob = eraAnp(azobs);
+ *zob = zdobs;
+ *hob = -hmobs;
+ *dob = dcobs;
+ *rob = eraAnp(raobs);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/atoc13.c b/src/detail/erfa/atoc13.c
new file mode 100644
index 000000000..aa623c2d2
--- /dev/null
+++ b/src/detail/erfa/atoc13.c
@@ -0,0 +1,237 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraAtoc13(const char *type, double ob1, double ob2,
+ double utc1, double utc2, double dut1,
+ double elong, double phi, double hm, double xp, double yp,
+ double phpa, double tc, double rh, double wl,
+ double *rc, double *dc)
+/*
+** - - - - - - - - - -
+** e r a A t o c 1 3
+** - - - - - - - - - -
+**
+** Observed place at a groundbased site to to ICRS astrometric RA,Dec.
+** The caller supplies UTC, site coordinates, ambient air conditions
+** and observing wavelength.
+**
+** Given:
+** type char[] type of coordinates - "R", "H" or "A" (Notes 1,2)
+** ob1 double observed Az, HA or RA (radians; Az is N=0,E=90)
+** ob2 double observed ZD or Dec (radians)
+** utc1 double UTC as a 2-part...
+** utc2 double ...quasi Julian Date (Notes 3,4)
+** dut1 double UT1-UTC (seconds, Note 5)
+** elong double longitude (radians, east +ve, Note 6)
+** phi double geodetic latitude (radians, Note 6)
+** hm double height above ellipsoid (m, geodetic Notes 6,8)
+** xp,yp double polar motion coordinates (radians, Note 7)
+** phpa double pressure at the observer (hPa = mB, Note 8)
+** tc double ambient temperature at the observer (deg C)
+** rh double relative humidity at the observer (range 0-1)
+** wl double wavelength (micrometers, Note 9)
+**
+** Returned:
+** rc,dc double ICRS astrometric RA,Dec (radians)
+**
+** Returned (function value):
+** int status: +1 = dubious year (Note 4)
+** 0 = OK
+** -1 = unacceptable date
+**
+** Notes:
+**
+** 1) "Observed" Az,ZD means the position that would be seen by a
+** perfect geodetically aligned theodolite. (Zenith distance is
+** used rather than altitude in order to reflect the fact that no
+** allowance is made for depression of the horizon.) This is
+** related to the observed HA,Dec via the standard rotation, using
+** the geodetic latitude (corrected for polar motion), while the
+** observed HA and (CIO-based) RA are related simply through the
+** Earth rotation angle and the site longitude. "Observed" RA,Dec
+** or HA,Dec thus means the position that would be seen by a
+** perfect equatorial with its polar axis aligned to the Earth's
+** axis of rotation.
+**
+** 2) Only the first character of the type argument is significant.
+** "R" or "r" indicates that ob1 and ob2 are the observed right
+** ascension (CIO-based) and declination; "H" or "h" indicates
+** that they are hour angle (west +ve) and declination; anything
+** else ("A" or "a" is recommended) indicates that ob1 and ob2 are
+** azimuth (north zero, east 90 deg) and zenith distance.
+**
+** 3) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any
+** convenient way between the two arguments, for example where utc1
+** is the Julian Day Number and utc2 is the fraction of a day.
+**
+** However, JD cannot unambiguously represent UTC during a leap
+** second unless special measures are taken. The convention in the
+** present function is that the JD day represents UTC days whether
+** the length is 86399, 86400 or 86401 SI seconds.
+**
+** Applications should use the function eraDtf2d to convert from
+** calendar date and time of day into 2-part quasi Julian Date, as
+** it implements the leap-second-ambiguity convention just
+** described.
+**
+** 4) The warning status "dubious year" flags UTCs that predate the
+** introduction of the time scale or that are too far in the
+** future to be trusted. See eraDat for further details.
+**
+** 5) UT1-UTC is tabulated in IERS bulletins. It increases by exactly
+** one second at the end of each positive UTC leap second,
+** introduced in order to keep UT1-UTC within +/- 0.9s. n.b. This
+** practice is under review, and in the future UT1-UTC may grow
+** essentially without limit.
+**
+** 6) The geographical coordinates are with respect to the ERFA_WGS84
+** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN: the
+** longitude required by the present function is east-positive
+** (i.e. right-handed), in accordance with geographical convention.
+**
+** 7) The polar motion xp,yp can be obtained from IERS bulletins. The
+** values are the coordinates (in radians) of the Celestial
+** Intermediate Pole with respect to the International Terrestrial
+** Reference System (see IERS Conventions 2003), measured along the
+** meridians 0 and 90 deg west respectively. For many
+** applications, xp and yp can be set to zero.
+**
+** 8) If hm, the height above the ellipsoid of the observing station
+** in meters, is not known but phpa, the pressure in hPa (=mB), is
+** available, an adequate estimate of hm can be obtained from the
+** expression
+**
+** hm = -29.3 * tsl * log ( phpa / 1013.25 );
+**
+** where tsl is the approximate sea-level air temperature in K
+** (See Astrophysical Quantities, C.W.Allen, 3rd edition, section
+** 52). Similarly, if the pressure phpa is not known, it can be
+** estimated from the height of the observing station, hm, as
+** follows:
+**
+** phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) );
+**
+** Note, however, that the refraction is nearly proportional to
+** the pressure and that an accurate phpa value is important for
+** precise work.
+**
+** 9) The argument wl specifies the observing wavelength in
+** micrometers. The transition from optical to radio is assumed to
+** occur at 100 micrometers (about 3000 GHz).
+**
+** 10) The accuracy of the result is limited by the corrections for
+** refraction, which use a simple A*tan(z) + B*tan^3(z) model.
+** Providing the meteorological parameters are known accurately and
+** there are no gross local effects, the predicted astrometric
+** coordinates should be within 0.05 arcsec (optical) or 1 arcsec
+** (radio) for a zenith distance of less than 70 degrees, better
+** than 30 arcsec (optical or radio) at 85 degrees and better
+** than 20 arcmin (optical) or 30 arcmin (radio) at the horizon.
+**
+** Without refraction, the complementary functions eraAtco13 and
+** eraAtoc13 are self-consistent to better than 1 microarcsecond
+** all over the celestial sphere. With refraction included,
+** consistency falls off at high zenith distances, but is still
+** better than 0.05 arcsec at 85 degrees.
+**
+** 11) It is advisable to take great care with units, as even unlikely
+** values of the input parameters are accepted and processed in
+** accordance with the models used.
+**
+** Called:
+** eraApco13 astrometry parameters, ICRS-observed
+** eraAtoiq quick observed to CIRS
+** eraAticq quick CIRS to ICRS
+**
+** This revision: 2022 August 30
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int j;
+ eraASTROM astrom;
+ double eo, ri, di;
+
+
+/* Star-independent astrometry parameters. */
+ j = eraApco13(utc1, utc2, dut1, elong, phi, hm, xp, yp,
+ phpa, tc, rh, wl, &astrom, &eo);
+
+/* Abort if bad UTC. */
+ if ( j < 0 ) return j;
+
+/* Transform observed to CIRS. */
+ eraAtoiq(type, ob1, ob2, &astrom, &ri, &di);
+
+/* Transform CIRS to ICRS. */
+ eraAticq(ri, di, &astrom, rc, dc);
+
+/* Return OK/warning status. */
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/atoi13.c b/src/detail/erfa/atoi13.c
new file mode 100644
index 000000000..f4b611822
--- /dev/null
+++ b/src/detail/erfa/atoi13.c
@@ -0,0 +1,232 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraAtoi13(const char *type, double ob1, double ob2,
+ double utc1, double utc2, double dut1,
+ double elong, double phi, double hm, double xp, double yp,
+ double phpa, double tc, double rh, double wl,
+ double *ri, double *di)
+/*
+** - - - - - - - - - -
+** e r a A t o i 1 3
+** - - - - - - - - - -
+**
+** Observed place to CIRS. The caller supplies UTC, site coordinates,
+** ambient air conditions and observing wavelength.
+**
+** Given:
+** type char[] type of coordinates - "R", "H" or "A" (Notes 1,2)
+** ob1 double observed Az, HA or RA (radians; Az is N=0,E=90)
+** ob2 double observed ZD or Dec (radians)
+** utc1 double UTC as a 2-part...
+** utc2 double ...quasi Julian Date (Notes 3,4)
+** dut1 double UT1-UTC (seconds, Note 5)
+** elong double longitude (radians, east +ve, Note 6)
+** phi double geodetic latitude (radians, Note 6)
+** hm double height above the ellipsoid (meters, Notes 6,8)
+** xp,yp double polar motion coordinates (radians, Note 7)
+** phpa double pressure at the observer (hPa = mB, Note 8)
+** tc double ambient temperature at the observer (deg C)
+** rh double relative humidity at the observer (range 0-1)
+** wl double wavelength (micrometers, Note 9)
+**
+** Returned:
+** ri double* CIRS right ascension (CIO-based, radians)
+** di double* CIRS declination (radians)
+**
+** Returned (function value):
+** int status: +1 = dubious year (Note 2)
+** 0 = OK
+** -1 = unacceptable date
+**
+** Notes:
+**
+** 1) "Observed" Az,ZD means the position that would be seen by a
+** perfect geodetically aligned theodolite. (Zenith distance is
+** used rather than altitude in order to reflect the fact that no
+** allowance is made for depression of the horizon.) This is
+** related to the observed HA,Dec via the standard rotation, using
+** the geodetic latitude (corrected for polar motion), while the
+** observed HA and (CIO-based) RA are related simply through the
+** Earth rotation angle and the site longitude. "Observed" RA,Dec
+** or HA,Dec thus means the position that would be seen by a
+** perfect equatorial with its polar axis aligned to the Earth's
+** axis of rotation.
+**
+** 2) Only the first character of the type argument is significant.
+** "R" or "r" indicates that ob1 and ob2 are the observed right
+** ascension and declination; "H" or "h" indicates that they are
+** hour angle (west +ve) and declination; anything else ("A" or
+** "a" is recommended) indicates that ob1 and ob2 are azimuth
+** (north zero, east 90 deg) and zenith distance.
+**
+** 3) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any
+** convenient way between the two arguments, for example where utc1
+** is the Julian Day Number and utc2 is the fraction of a day.
+**
+** However, JD cannot unambiguously represent UTC during a leap
+** second unless special measures are taken. The convention in the
+** present function is that the JD day represents UTC days whether
+** the length is 86399, 86400 or 86401 SI seconds.
+**
+** Applications should use the function eraDtf2d to convert from
+** calendar date and time of day into 2-part quasi Julian Date, as
+** it implements the leap-second-ambiguity convention just
+** described.
+**
+** 4) The warning status "dubious year" flags UTCs that predate the
+** introduction of the time scale or that are too far in the
+** future to be trusted. See eraDat for further details.
+**
+** 5) UT1-UTC is tabulated in IERS bulletins. It increases by exactly
+** one second at the end of each positive UTC leap second,
+** introduced in order to keep UT1-UTC within +/- 0.9s. n.b. This
+** practice is under review, and in the future UT1-UTC may grow
+** essentially without limit.
+**
+** 6) The geographical coordinates are with respect to the ERFA_WGS84
+** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN: the
+** longitude required by the present function is east-positive
+** (i.e. right-handed), in accordance with geographical convention.
+**
+** 7) The polar motion xp,yp can be obtained from IERS bulletins. The
+** values are the coordinates (in radians) of the Celestial
+** Intermediate Pole with respect to the International Terrestrial
+** Reference System (see IERS Conventions 2003), measured along the
+** meridians 0 and 90 deg west respectively. For many
+** applications, xp and yp can be set to zero.
+**
+** 8) If hm, the height above the ellipsoid of the observing station
+** in meters, is not known but phpa, the pressure in hPa (=mB), is
+** available, an adequate estimate of hm can be obtained from the
+** expression
+**
+** hm = -29.3 * tsl * log ( phpa / 1013.25 );
+**
+** where tsl is the approximate sea-level air temperature in K
+** (See Astrophysical Quantities, C.W.Allen, 3rd edition, section
+** 52). Similarly, if the pressure phpa is not known, it can be
+** estimated from the height of the observing station, hm, as
+** follows:
+**
+** phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) );
+**
+** Note, however, that the refraction is nearly proportional to
+** the pressure and that an accurate phpa value is important for
+** precise work.
+**
+** 9) The argument wl specifies the observing wavelength in
+** micrometers. The transition from optical to radio is assumed to
+** occur at 100 micrometers (about 3000 GHz).
+**
+** 10) The accuracy of the result is limited by the corrections for
+** refraction, which use a simple A*tan(z) + B*tan^3(z) model.
+** Providing the meteorological parameters are known accurately and
+** there are no gross local effects, the predicted astrometric
+** coordinates should be within 0.05 arcsec (optical) or 1 arcsec
+** (radio) for a zenith distance of less than 70 degrees, better
+** than 30 arcsec (optical or radio) at 85 degrees and better
+** than 20 arcmin (optical) or 30 arcmin (radio) at the horizon.
+**
+** Without refraction, the complementary functions eraAtio13 and
+** eraAtoi13 are self-consistent to better than 1 microarcsecond
+** all over the celestial sphere. With refraction included,
+** consistency falls off at high zenith distances, but is still
+** better than 0.05 arcsec at 85 degrees.
+**
+** 12) It is advisable to take great care with units, as even unlikely
+** values of the input parameters are accepted and processed in
+** accordance with the models used.
+**
+** Called:
+** eraApio13 astrometry parameters, CIRS-observed, 2013
+** eraAtoiq quick observed to CIRS
+**
+** This revision: 2022 August 30
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int j;
+ eraASTROM astrom;
+
+
+/* Star-independent astrometry parameters for CIRS->observed. */
+ j = eraApio13(utc1, utc2, dut1, elong, phi, hm, xp, yp,
+ phpa, tc, rh, wl, &astrom);
+
+/* Abort if bad UTC. */
+ if ( j < 0 ) return j;
+
+/* Transform observed to CIRS. */
+ eraAtoiq(type, ob1, ob2, &astrom, ri, di);
+
+/* Return OK/warning status. */
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/atoiq.c b/src/detail/erfa/atoiq.c
new file mode 100644
index 000000000..920106788
--- /dev/null
+++ b/src/detail/erfa/atoiq.c
@@ -0,0 +1,264 @@
+#include "erfa.h"
+
+void eraAtoiq(const char *type,
+ double ob1, double ob2, eraASTROM *astrom,
+ double *ri, double *di)
+/*
+** - - - - - - - - -
+** e r a A t o i q
+** - - - - - - - - -
+**
+** Quick observed place to CIRS, given the star-independent astrometry
+** parameters.
+**
+** Use of this function is appropriate when efficiency is important and
+** where many star positions are all to be transformed for one date.
+** The star-independent astrometry parameters can be obtained by
+** calling eraApio[13] or eraApco[13].
+**
+** Given:
+** type char[] type of coordinates: "R", "H" or "A" (Note 1)
+** ob1 double observed Az, HA or RA (radians; Az is N=0,E=90)
+** ob2 double observed ZD or Dec (radians)
+** astrom eraASTROM* star-independent astrometry parameters:
+** pmt double PM time interval (SSB, Julian years)
+** eb double[3] SSB to observer (vector, au)
+** eh double[3] Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+** v double[3] barycentric observer velocity (vector, c)
+** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
+** bpn double[3][3] bias-precession-nutation matrix
+** along double longitude + s' (radians)
+** xpl double polar motion xp wrt local meridian (radians)
+** ypl double polar motion yp wrt local meridian (radians)
+** sphi double sine of geodetic latitude
+** cphi double cosine of geodetic latitude
+** diurab double magnitude of diurnal aberration vector
+** eral double "local" Earth rotation angle (radians)
+** refa double refraction constant A (radians)
+** refb double refraction constant B (radians)
+**
+** Returned:
+** ri double* CIRS right ascension (CIO-based, radians)
+** di double* CIRS declination (radians)
+**
+** Notes:
+**
+** 1) "Observed" Az,ZD means the position that would be seen by a
+** perfect geodetically aligned theodolite. This is related to
+** the observed HA,Dec via the standard rotation, using the geodetic
+** latitude (corrected for polar motion), while the observed HA and
+** (CIO-based) RA are related simply through the Earth rotation
+** angle and the site longitude. "Observed" RA,Dec or HA,Dec thus
+** means the position that would be seen by a perfect equatorial
+** with its polar axis aligned to the Earth's axis of rotation.
+**
+** 2) Only the first character of the type argument is significant.
+** "R" or "r" indicates that ob1 and ob2 are the observed right
+** ascension (CIO-based) and declination; "H" or "h" indicates that
+** they are hour angle (west +ve) and declination; anything else
+** ("A" or "a" is recommended) indicates that ob1 and ob2 are
+** azimuth (north zero, east 90 deg) and zenith distance. (Zenith
+** distance is used rather than altitude in order to reflect the
+** fact that no allowance is made for depression of the horizon.)
+**
+** 3) The accuracy of the result is limited by the corrections for
+** refraction, which use a simple A*tan(z) + B*tan^3(z) model.
+** Providing the meteorological parameters are known accurately and
+** there are no gross local effects, the predicted intermediate
+** coordinates should be within 0.05 arcsec (optical) or 1 arcsec
+** (radio) for a zenith distance of less than 70 degrees, better
+** than 30 arcsec (optical or radio) at 85 degrees and better than
+** 20 arcmin (optical) or 25 arcmin (radio) at the horizon.
+**
+** Without refraction, the complementary functions eraAtioq and
+** eraAtoiq are self-consistent to better than 1 microarcsecond all
+** over the celestial sphere. With refraction included, consistency
+** falls off at high zenith distances, but is still better than
+** 0.05 arcsec at 85 degrees.
+**
+** 4) It is advisable to take great care with units, as even unlikely
+** values of the input parameters are accepted and processed in
+** accordance with the models used.
+**
+** Called:
+** eraS2c spherical coordinates to unit vector
+** eraC2s p-vector to spherical
+** eraAnp normalize angle into range 0 to 2pi
+**
+** This revision: 2022 August 30
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Minimum sin(alt) for refraction purposes */
+ const double SELMIN = 0.05;
+
+ int c;
+ double c1, c2, sphi, cphi, ce, xaeo, yaeo, zaeo, v[3],
+ xmhdo, ymhdo, zmhdo, az, sz, zdo, refa, refb, tz, dref,
+ zdt, xaet, yaet, zaet, xmhda, ymhda, zmhda,
+ f, xhd, yhd, zhd, sx, cx, sy, cy, hma;
+
+
+/* Coordinate type. */
+ c = (int) type[0];
+
+/* Coordinates. */
+ c1 = ob1;
+ c2 = ob2;
+
+/* Sin, cos of latitude. */
+ sphi = astrom->sphi;
+ cphi = astrom->cphi;
+
+/* Standardize coordinate type. */
+ if ( c == 'r' || c == 'R' ) {
+ c = 'R';
+ } else if ( c == 'h' || c == 'H' ) {
+ c = 'H';
+ } else {
+ c = 'A';
+ }
+
+/* If Az,ZD, convert to Cartesian (S=0,E=90). */
+ if ( c == 'A' ) {
+ ce = sin(c2);
+ xaeo = - cos(c1) * ce;
+ yaeo = sin(c1) * ce;
+ zaeo = cos(c2);
+
+ } else {
+
+ /* If RA,Dec, convert to HA,Dec. */
+ if ( c == 'R' ) c1 = astrom->eral - c1;
+
+ /* To Cartesian -HA,Dec. */
+ eraS2c ( -c1, c2, v );
+ xmhdo = v[0];
+ ymhdo = v[1];
+ zmhdo = v[2];
+
+ /* To Cartesian Az,El (S=0,E=90). */
+ xaeo = sphi*xmhdo - cphi*zmhdo;
+ yaeo = ymhdo;
+ zaeo = cphi*xmhdo + sphi*zmhdo;
+ }
+
+/* Azimuth (S=0,E=90). */
+ az = ( xaeo != 0.0 || yaeo != 0.0 ) ? atan2(yaeo,xaeo) : 0.0;
+
+/* Sine of observed ZD, and observed ZD. */
+ sz = sqrt ( xaeo*xaeo + yaeo*yaeo );
+ zdo = atan2 ( sz, zaeo );
+
+/*
+** Refraction
+** ----------
+*/
+
+/* Fast algorithm using two constant model. */
+ refa = astrom->refa;
+ refb = astrom->refb;
+ tz = sz / ( zaeo > SELMIN ? zaeo : SELMIN );
+ dref = ( refa + refb*tz*tz ) * tz;
+ zdt = zdo + dref;
+
+/* To Cartesian Az,ZD. */
+ ce = sin(zdt);
+ xaet = cos(az) * ce;
+ yaet = sin(az) * ce;
+ zaet = cos(zdt);
+
+/* Cartesian Az,ZD to Cartesian -HA,Dec. */
+ xmhda = sphi*xaet + cphi*zaet;
+ ymhda = yaet;
+ zmhda = - cphi*xaet + sphi*zaet;
+
+/* Diurnal aberration. */
+ f = ( 1.0 + astrom->diurab*ymhda );
+ xhd = f * xmhda;
+ yhd = f * ( ymhda - astrom->diurab );
+ zhd = f * zmhda;
+
+/* Polar motion. */
+ sx = sin(astrom->xpl);
+ cx = cos(astrom->xpl);
+ sy = sin(astrom->ypl);
+ cy = cos(astrom->ypl);
+ v[0] = cx*xhd + sx*sy*yhd - sx*cy*zhd;
+ v[1] = cy*yhd + sy*zhd;
+ v[2] = sx*xhd - cx*sy*yhd + cx*cy*zhd;
+
+/* To spherical -HA,Dec. */
+ eraC2s(v, &hma, di);
+
+/* Right ascension. */
+ *ri = eraAnp(astrom->eral + hma);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/bi00.c b/src/detail/erfa/bi00.c
new file mode 100644
index 000000000..88df01389
--- /dev/null
+++ b/src/detail/erfa/bi00.c
@@ -0,0 +1,129 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraBi00(double *dpsibi, double *depsbi, double *dra)
+/*
+** - - - - - - - -
+** e r a B i 0 0
+** - - - - - - - -
+**
+** Frame bias components of IAU 2000 precession-nutation models; part
+** of the Mathews-Herring-Buffett (MHB2000) nutation series, with
+** additions.
+**
+** Returned:
+** dpsibi,depsbi double longitude and obliquity corrections
+** dra double the ICRS RA of the J2000.0 mean equinox
+**
+** Notes:
+**
+** 1) The frame bias corrections in longitude and obliquity (radians)
+** are required in order to correct for the offset between the GCRS
+** pole and the mean J2000.0 pole. They define, with respect to the
+** GCRS frame, a J2000.0 mean pole that is consistent with the rest
+** of the IAU 2000A precession-nutation model.
+**
+** 2) In addition to the displacement of the pole, the complete
+** description of the frame bias requires also an offset in right
+** ascension. This is not part of the IAU 2000A model, and is from
+** Chapront et al. (2002). It is returned in radians.
+**
+** 3) This is a supplemented implementation of one aspect of the IAU
+** 2000A nutation model, formally adopted by the IAU General
+** Assembly in 2000, namely MHB2000 (Mathews et al. 2002).
+**
+** References:
+**
+** Chapront, J., Chapront-Touze, M. & Francou, G., Astron.
+** Astrophys., 387, 700, 2002.
+**
+** Mathews, P.M., Herring, T.A., Buffet, B.A., "Modeling of nutation
+** and precession: New nutation series for nonrigid Earth and
+** insights into the Earth's interior", J.Geophys.Res., 107, B4,
+** 2002. The MHB2000 code itself was obtained on 2002 September 9
+** from ftp://maia.usno.navy.mil/conv2000/chapter5/IAU2000A.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* The frame bias corrections in longitude and obliquity */
+ const double DPBIAS = -0.041775 * ERFA_DAS2R,
+ DEBIAS = -0.0068192 * ERFA_DAS2R;
+
+/* The ICRS RA of the J2000.0 equinox (Chapront et al., 2002) */
+ const double DRA0 = -0.0146 * ERFA_DAS2R;
+
+
+/* Return the results (which are fixed). */
+ *dpsibi = DPBIAS;
+ *depsbi = DEBIAS;
+ *dra = DRA0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/bp00.c b/src/detail/erfa/bp00.c
new file mode 100644
index 000000000..6a01c4fd3
--- /dev/null
+++ b/src/detail/erfa/bp00.c
@@ -0,0 +1,184 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraBp00(double date1, double date2,
+ double rb[3][3], double rp[3][3], double rbp[3][3])
+/*
+** - - - - - - - -
+** e r a B p 0 0
+** - - - - - - - -
+**
+** Frame bias and precession, IAU 2000.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** rb double[3][3] frame bias matrix (Note 2)
+** rp double[3][3] precession matrix (Note 3)
+** rbp double[3][3] bias-precession matrix (Note 4)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix rb transforms vectors from GCRS to mean J2000.0 by
+** applying frame bias.
+**
+** 3) The matrix rp transforms vectors from J2000.0 mean equator and
+** equinox to mean equator and equinox of date by applying
+** precession.
+**
+** 4) The matrix rbp transforms vectors from GCRS to mean equator and
+** equinox of date by applying frame bias then precession. It is
+** the product rp x rb.
+**
+** 5) It is permissible to re-use the same array in the returned
+** arguments. The arrays are filled in the order given.
+**
+** Called:
+** eraBi00 frame bias components, IAU 2000
+** eraPr00 IAU 2000 precession adjustments
+** eraIr initialize r-matrix to identity
+** eraRx rotate around X-axis
+** eraRy rotate around Y-axis
+** eraRz rotate around Z-axis
+** eraCr copy r-matrix
+** eraRxr product of two r-matrices
+**
+** Reference:
+** "Expressions for the Celestial Intermediate Pole and Celestial
+** Ephemeris Origin consistent with the IAU 2000A precession-
+** nutation model", Astron.Astrophys. 400, 1145-1154 (2003)
+**
+** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
+** intermediate origin" (CIO) by IAU 2006 Resolution 2.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* J2000.0 obliquity (Lieske et al. 1977) */
+ const double EPS0 = 84381.448 * ERFA_DAS2R;
+
+ double t, dpsibi, depsbi, dra0, psia77, oma77, chia,
+ dpsipr, depspr, psia, oma, rbw[3][3];
+
+
+/* Interval between fundamental epoch J2000.0 and current date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* Frame bias. */
+ eraBi00(&dpsibi, &depsbi, &dra0);
+
+/* Precession angles (Lieske et al. 1977) */
+ psia77 = (5038.7784 + (-1.07259 + (-0.001147) * t) * t) * t * ERFA_DAS2R;
+ oma77 = EPS0 + ((0.05127 + (-0.007726) * t) * t) * t * ERFA_DAS2R;
+ chia = ( 10.5526 + (-2.38064 + (-0.001125) * t) * t) * t * ERFA_DAS2R;
+
+/* Apply IAU 2000 precession corrections. */
+ eraPr00(date1, date2, &dpsipr, &depspr);
+ psia = psia77 + dpsipr;
+ oma = oma77 + depspr;
+
+/* Frame bias matrix: GCRS to J2000.0. */
+ eraIr(rbw);
+ eraRz(dra0, rbw);
+ eraRy(dpsibi*sin(EPS0), rbw);
+ eraRx(-depsbi, rbw);
+ eraCr(rbw, rb);
+
+/* Precession matrix: J2000.0 to mean of date. */
+ eraIr(rp);
+ eraRx(EPS0, rp);
+ eraRz(-psia, rp);
+ eraRx(-oma, rp);
+ eraRz(chia, rp);
+
+/* Bias-precession matrix: GCRS to mean of date. */
+ eraRxr(rp, rbw, rbp);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/bp06.c b/src/detail/erfa/bp06.c
new file mode 100644
index 000000000..2d5957c32
--- /dev/null
+++ b/src/detail/erfa/bp06.c
@@ -0,0 +1,155 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraBp06(double date1, double date2,
+ double rb[3][3], double rp[3][3], double rbp[3][3])
+/*
+** - - - - - - - -
+** e r a B p 0 6
+** - - - - - - - -
+**
+** Frame bias and precession, IAU 2006.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** rb double[3][3] frame bias matrix (Note 2)
+** rp double[3][3] precession matrix (Note 3)
+** rbp double[3][3] bias-precession matrix (Note 4)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix rb transforms vectors from GCRS to mean J2000.0 by
+** applying frame bias.
+**
+** 3) The matrix rp transforms vectors from mean J2000.0 to mean of
+** date by applying precession.
+**
+** 4) The matrix rbp transforms vectors from GCRS to mean of date by
+** applying frame bias then precession. It is the product rp x rb.
+**
+** 5) It is permissible to re-use the same array in the returned
+** arguments. The arrays are filled in the order given.
+**
+** Called:
+** eraPfw06 bias-precession F-W angles, IAU 2006
+** eraFw2m F-W angles to r-matrix
+** eraPmat06 PB matrix, IAU 2006
+** eraTr transpose r-matrix
+** eraRxr product of two r-matrices
+** eraCr copy r-matrix
+**
+** References:
+**
+** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855
+**
+** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double gamb, phib, psib, epsa, rbpw[3][3], rbt[3][3];
+
+
+/* B matrix. */
+ eraPfw06(ERFA_DJM0, ERFA_DJM00, &gamb, &phib, &psib, &epsa);
+ eraFw2m(gamb, phib, psib, epsa, rb);
+
+/* PxB matrix (temporary). */
+ eraPmat06(date1, date2, rbpw);
+
+/* P matrix. */
+ eraTr(rb, rbt);
+ eraRxr(rbpw, rbt, rp);
+
+/* PxB matrix. */
+ eraCr(rbpw, rbp);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/bpn2xy.c b/src/detail/erfa/bpn2xy.c
new file mode 100644
index 000000000..ce956ddfa
--- /dev/null
+++ b/src/detail/erfa/bpn2xy.c
@@ -0,0 +1,111 @@
+#include "erfa.h"
+
+void eraBpn2xy(double rbpn[3][3], double *x, double *y)
+/*
+** - - - - - - - - - -
+** e r a B p n 2 x y
+** - - - - - - - - - -
+**
+** Extract from the bias-precession-nutation matrix the X,Y coordinates
+** of the Celestial Intermediate Pole.
+**
+** Given:
+** rbpn double[3][3] celestial-to-true matrix (Note 1)
+**
+** Returned:
+** x,y double Celestial Intermediate Pole (Note 2)
+**
+** Notes:
+**
+** 1) The matrix rbpn transforms vectors from GCRS to true equator (and
+** CIO or equinox) of date, and therefore the Celestial Intermediate
+** Pole unit vector is the bottom row of the matrix.
+**
+** 2) The arguments x,y are components of the Celestial Intermediate
+** Pole unit vector in the Geocentric Celestial Reference System.
+**
+** Reference:
+**
+** "Expressions for the Celestial Intermediate Pole and Celestial
+** Ephemeris Origin consistent with the IAU 2000A precession-
+** nutation model", Astron.Astrophys. 400, 1145-1154
+** (2003)
+**
+** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
+** intermediate origin" (CIO) by IAU 2006 Resolution 2.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Extract the X,Y coordinates. */
+ *x = rbpn[2][0];
+ *y = rbpn[2][1];
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/c2i00a.c b/src/detail/erfa/c2i00a.c
new file mode 100644
index 000000000..9bcb07f4c
--- /dev/null
+++ b/src/detail/erfa/c2i00a.c
@@ -0,0 +1,150 @@
+#include "erfa.h"
+
+void eraC2i00a(double date1, double date2, double rc2i[3][3])
+/*
+** - - - - - - - - - -
+** e r a C 2 i 0 0 a
+** - - - - - - - - - -
+**
+** Form the celestial-to-intermediate matrix for a given date using the
+** IAU 2000A precession-nutation model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** rc2i double[3][3] celestial-to-intermediate matrix (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix rc2i is the first stage in the transformation from
+** celestial to terrestrial coordinates:
+**
+** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS]
+**
+** = rc2t * [CRS]
+**
+** where [CRS] is a vector in the Geocentric Celestial Reference
+** System and [TRS] is a vector in the International Terrestrial
+** Reference System (see IERS Conventions 2003), ERA is the Earth
+** Rotation Angle and RPOM is the polar motion matrix.
+**
+** 3) A faster, but slightly less accurate, result (about 1 mas) can be
+** obtained by using instead the eraC2i00b function.
+**
+** Called:
+** eraPnm00a classical NPB matrix, IAU 2000A
+** eraC2ibpn celestial-to-intermediate matrix, given NPB matrix
+**
+** References:
+**
+** "Expressions for the Celestial Intermediate Pole and Celestial
+** Ephemeris Origin consistent with the IAU 2000A precession-
+** nutation model", Astron.Astrophys. 400, 1145-1154
+** (2003)
+**
+** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
+** intermediate origin" (CIO) by IAU 2006 Resolution 2.
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rbpn[3][3];
+
+
+/* Obtain the celestial-to-true matrix (IAU 2000A). */
+ eraPnm00a(date1, date2, rbpn);
+
+/* Form the celestial-to-intermediate matrix. */
+ eraC2ibpn(date1, date2, rbpn, rc2i);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/c2i00b.c b/src/detail/erfa/c2i00b.c
new file mode 100644
index 000000000..740b0265d
--- /dev/null
+++ b/src/detail/erfa/c2i00b.c
@@ -0,0 +1,150 @@
+#include "erfa.h"
+
+void eraC2i00b(double date1, double date2, double rc2i[3][3])
+/*
+** - - - - - - - - - -
+** e r a C 2 i 0 0 b
+** - - - - - - - - - -
+**
+** Form the celestial-to-intermediate matrix for a given date using the
+** IAU 2000B precession-nutation model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** rc2i double[3][3] celestial-to-intermediate matrix (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix rc2i is the first stage in the transformation from
+** celestial to terrestrial coordinates:
+**
+** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS]
+**
+** = rc2t * [CRS]
+**
+** where [CRS] is a vector in the Geocentric Celestial Reference
+** System and [TRS] is a vector in the International Terrestrial
+** Reference System (see IERS Conventions 2003), ERA is the Earth
+** Rotation Angle and RPOM is the polar motion matrix.
+**
+** 3) The present function is faster, but slightly less accurate (about
+** 1 mas), than the eraC2i00a function.
+**
+** Called:
+** eraPnm00b classical NPB matrix, IAU 2000B
+** eraC2ibpn celestial-to-intermediate matrix, given NPB matrix
+**
+** References:
+**
+** "Expressions for the Celestial Intermediate Pole and Celestial
+** Ephemeris Origin consistent with the IAU 2000A precession-
+** nutation model", Astron.Astrophys. 400, 1145-1154
+** (2003)
+**
+** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
+** intermediate origin" (CIO) by IAU 2006 Resolution 2.
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rbpn[3][3];
+
+
+/* Obtain the celestial-to-true matrix (IAU 2000B). */
+ eraPnm00b(date1, date2, rbpn);
+
+/* Form the celestial-to-intermediate matrix. */
+ eraC2ibpn(date1, date2, rbpn, rc2i);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/c2i06a.c b/src/detail/erfa/c2i06a.c
new file mode 100644
index 000000000..74ef56603
--- /dev/null
+++ b/src/detail/erfa/c2i06a.c
@@ -0,0 +1,147 @@
+#include "erfa.h"
+
+void eraC2i06a(double date1, double date2, double rc2i[3][3])
+/*
+** - - - - - - - - - -
+** e r a C 2 i 0 6 a
+** - - - - - - - - - -
+**
+** Form the celestial-to-intermediate matrix for a given date using the
+** IAU 2006 precession and IAU 2000A nutation models.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** rc2i double[3][3] celestial-to-intermediate matrix (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix rc2i is the first stage in the transformation from
+** celestial to terrestrial coordinates:
+**
+** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS]
+**
+** = RC2T * [CRS]
+**
+** where [CRS] is a vector in the Geocentric Celestial Reference
+** System and [TRS] is a vector in the International Terrestrial
+** Reference System (see IERS Conventions 2003), ERA is the Earth
+** Rotation Angle and RPOM is the polar motion matrix.
+**
+** Called:
+** eraPnm06a classical NPB matrix, IAU 2006/2000A
+** eraBpn2xy extract CIP X,Y coordinates from NPB matrix
+** eraS06 the CIO locator s, given X,Y, IAU 2006
+** eraC2ixys celestial-to-intermediate matrix, given X,Y and s
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rbpn[3][3], x, y, s;
+
+
+/* Obtain the celestial-to-true matrix (IAU 2006/2000A). */
+ eraPnm06a(date1, date2, rbpn);
+
+/* Extract the X,Y coordinates. */
+ eraBpn2xy(rbpn, &x, &y);
+
+/* Obtain the CIO locator. */
+ s = eraS06(date1, date2, x, y);
+
+/* Form the celestial-to-intermediate matrix. */
+ eraC2ixys(x, y, s, rc2i);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/c2ibpn.c b/src/detail/erfa/c2ibpn.c
new file mode 100644
index 000000000..5dce1e755
--- /dev/null
+++ b/src/detail/erfa/c2ibpn.c
@@ -0,0 +1,153 @@
+#include "erfa.h"
+
+void eraC2ibpn(double date1, double date2, double rbpn[3][3],
+ double rc2i[3][3])
+/*
+** - - - - - - - - - -
+** e r a C 2 i b p n
+** - - - - - - - - - -
+**
+** Form the celestial-to-intermediate matrix for a given date given
+** the bias-precession-nutation matrix. IAU 2000.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+** rbpn double[3][3] celestial-to-true matrix (Note 2)
+**
+** Returned:
+** rc2i double[3][3] celestial-to-intermediate matrix (Note 3)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix rbpn transforms vectors from GCRS to true equator (and
+** CIO or equinox) of date. Only the CIP (bottom row) is used.
+**
+** 3) The matrix rc2i is the first stage in the transformation from
+** celestial to terrestrial coordinates:
+**
+** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS]
+**
+** = RC2T * [CRS]
+**
+** where [CRS] is a vector in the Geocentric Celestial Reference
+** System and [TRS] is a vector in the International Terrestrial
+** Reference System (see IERS Conventions 2003), ERA is the Earth
+** Rotation Angle and RPOM is the polar motion matrix.
+**
+** 4) Although its name does not include "00", This function is in fact
+** specific to the IAU 2000 models.
+**
+** Called:
+** eraBpn2xy extract CIP X,Y coordinates from NPB matrix
+** eraC2ixy celestial-to-intermediate matrix, given X,Y
+**
+** References:
+** "Expressions for the Celestial Intermediate Pole and Celestial
+** Ephemeris Origin consistent with the IAU 2000A precession-
+** nutation model", Astron.Astrophys. 400, 1145-1154 (2003)
+**
+** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
+** intermediate origin" (CIO) by IAU 2006 Resolution 2.
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double x, y;
+
+
+/* Extract the X,Y coordinates. */
+ eraBpn2xy(rbpn, &x, &y);
+
+/* Form the celestial-to-intermediate matrix (n.b. IAU 2000 specific). */
+ eraC2ixy(date1, date2, x, y, rc2i);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/c2ixy.c b/src/detail/erfa/c2ixy.c
new file mode 100644
index 000000000..c372a1762
--- /dev/null
+++ b/src/detail/erfa/c2ixy.c
@@ -0,0 +1,142 @@
+#include "erfa.h"
+
+void eraC2ixy(double date1, double date2, double x, double y,
+ double rc2i[3][3])
+/*
+** - - - - - - - - -
+** e r a C 2 i x y
+** - - - - - - - - -
+**
+** Form the celestial to intermediate-frame-of-date matrix for a given
+** date when the CIP X,Y coordinates are known. IAU 2000.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+** x,y double Celestial Intermediate Pole (Note 2)
+**
+** Returned:
+** rc2i double[3][3] celestial-to-intermediate matrix (Note 3)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The Celestial Intermediate Pole coordinates are the x,y components
+** of the unit vector in the Geocentric Celestial Reference System.
+**
+** 3) The matrix rc2i is the first stage in the transformation from
+** celestial to terrestrial coordinates:
+**
+** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS]
+**
+** = RC2T * [CRS]
+**
+** where [CRS] is a vector in the Geocentric Celestial Reference
+** System and [TRS] is a vector in the International Terrestrial
+** Reference System (see IERS Conventions 2003), ERA is the Earth
+** Rotation Angle and RPOM is the polar motion matrix.
+**
+** 4) Although its name does not include "00", This function is in fact
+** specific to the IAU 2000 models.
+**
+** Called:
+** eraC2ixys celestial-to-intermediate matrix, given X,Y and s
+** eraS00 the CIO locator s, given X,Y, IAU 2000A
+**
+** Reference:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+
+{
+/* Compute s and then the matrix. */
+ eraC2ixys(x, y, eraS00(date1, date2, x, y), rc2i);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/c2ixys.c b/src/detail/erfa/c2ixys.c
new file mode 100644
index 000000000..8c6966112
--- /dev/null
+++ b/src/detail/erfa/c2ixys.c
@@ -0,0 +1,134 @@
+#include "erfa.h"
+
+void eraC2ixys(double x, double y, double s, double rc2i[3][3])
+/*
+** - - - - - - - - - -
+** e r a C 2 i x y s
+** - - - - - - - - - -
+**
+** Form the celestial to intermediate-frame-of-date matrix given the CIP
+** X,Y and the CIO locator s.
+**
+** Given:
+** x,y double Celestial Intermediate Pole (Note 1)
+** s double the CIO locator s (Note 2)
+**
+** Returned:
+** rc2i double[3][3] celestial-to-intermediate matrix (Note 3)
+**
+** Notes:
+**
+** 1) The Celestial Intermediate Pole coordinates are the x,y
+** components of the unit vector in the Geocentric Celestial
+** Reference System.
+**
+** 2) The CIO locator s (in radians) positions the Celestial
+** Intermediate Origin on the equator of the CIP.
+**
+** 3) The matrix rc2i is the first stage in the transformation from
+** celestial to terrestrial coordinates:
+**
+** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS]
+**
+** = RC2T * [CRS]
+**
+** where [CRS] is a vector in the Geocentric Celestial Reference
+** System and [TRS] is a vector in the International Terrestrial
+** Reference System (see IERS Conventions 2003), ERA is the Earth
+** Rotation Angle and RPOM is the polar motion matrix.
+**
+** Called:
+** eraIr initialize r-matrix to identity
+** eraRz rotate around Z-axis
+** eraRy rotate around Y-axis
+**
+** Reference:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double r2, e, d;
+
+
+/* Obtain the spherical angles E and d. */
+ r2 = x*x + y*y;
+ e = (r2 > 0.0) ? atan2(y, x) : 0.0;
+ d = atan(sqrt(r2 / (1.0 - r2)));
+
+/* Form the matrix. */
+ eraIr(rc2i);
+ eraRz(e, rc2i);
+ eraRy(d, rc2i);
+ eraRz(-(e+s), rc2i);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/c2s.c b/src/detail/erfa/c2s.c
new file mode 100644
index 000000000..24ace9d17
--- /dev/null
+++ b/src/detail/erfa/c2s.c
@@ -0,0 +1,107 @@
+#include "erfa.h"
+
+void eraC2s(double p[3], double *theta, double *phi)
+/*
+** - - - - - - -
+** e r a C 2 s
+** - - - - - - -
+**
+** P-vector to spherical coordinates.
+**
+** Given:
+** p double[3] p-vector
+**
+** Returned:
+** theta double longitude angle (radians)
+** phi double latitude angle (radians)
+**
+** Notes:
+**
+** 1) The vector p can have any magnitude; only its direction is used.
+**
+** 2) If p is null, zero theta and phi are returned.
+**
+** 3) At either pole, zero theta is returned.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double x, y, z, d2;
+
+
+ x = p[0];
+ y = p[1];
+ z = p[2];
+ d2 = x*x + y*y;
+
+ *theta = (d2 == 0.0) ? 0.0 : atan2(y, x);
+ *phi = (z == 0.0) ? 0.0 : atan2(z, sqrt(d2));
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/c2t00a.c b/src/detail/erfa/c2t00a.c
new file mode 100644
index 000000000..9cd247f5d
--- /dev/null
+++ b/src/detail/erfa/c2t00a.c
@@ -0,0 +1,165 @@
+#include "erfa.h"
+
+void eraC2t00a(double tta, double ttb, double uta, double utb,
+ double xp, double yp, double rc2t[3][3])
+/*
+** - - - - - - - - - -
+** e r a C 2 t 0 0 a
+** - - - - - - - - - -
+**
+** Form the celestial to terrestrial matrix given the date, the UT1 and
+** the polar motion, using the IAU 2000A precession-nutation model.
+**
+** Given:
+** tta,ttb double TT as a 2-part Julian Date (Note 1)
+** uta,utb double UT1 as a 2-part Julian Date (Note 1)
+** xp,yp double CIP coordinates (radians, Note 2)
+**
+** Returned:
+** rc2t double[3][3] celestial-to-terrestrial matrix (Note 3)
+**
+** Notes:
+**
+** 1) The TT and UT1 dates tta+ttb and uta+utb are Julian Dates,
+** apportioned in any convenient way between the arguments uta and
+** utb. For example, JD(UT1)=2450123.7 could be expressed in any of
+** these ways, among others:
+**
+** uta utb
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution is
+** acceptable. The J2000 and MJD methods are good compromises
+** between resolution and convenience. In the case of uta,utb, the
+** date & time method is best matched to the Earth rotation angle
+** algorithm used: maximum precision is delivered when the uta
+** argument is for 0hrs UT1 on the day in question and the utb
+** argument lies in the range 0 to 1, or vice versa.
+**
+** 2) The arguments xp and yp are the coordinates (in radians) of the
+** Celestial Intermediate Pole with respect to the International
+** Terrestrial Reference System (see IERS Conventions 2003),
+** measured along the meridians 0 and 90 deg west respectively.
+**
+** 3) The matrix rc2t transforms from celestial to terrestrial
+** coordinates:
+**
+** [TRS] = RPOM * R_3(ERA) * RC2I * [CRS]
+**
+** = rc2t * [CRS]
+**
+** where [CRS] is a vector in the Geocentric Celestial Reference
+** System and [TRS] is a vector in the International Terrestrial
+** Reference System (see IERS Conventions 2003), RC2I is the
+** celestial-to-intermediate matrix, ERA is the Earth rotation
+** angle and RPOM is the polar motion matrix.
+**
+** 4) A faster, but slightly less accurate, result (about 1 mas) can
+** be obtained by using instead the eraC2t00b function.
+**
+** Called:
+** eraC2i00a celestial-to-intermediate matrix, IAU 2000A
+** eraEra00 Earth rotation angle, IAU 2000
+** eraSp00 the TIO locator s', IERS 2000
+** eraPom00 polar motion matrix
+** eraC2tcio form CIO-based celestial-to-terrestrial matrix
+**
+** Reference:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rc2i[3][3], era, sp, rpom[3][3];
+
+
+/* Form the celestial-to-intermediate matrix for this TT (IAU 2000A). */
+ eraC2i00a(tta, ttb, rc2i );
+
+/* Predict the Earth rotation angle for this UT1. */
+ era = eraEra00(uta, utb);
+
+/* Estimate s'. */
+ sp = eraSp00(tta, ttb);
+
+/* Form the polar motion matrix. */
+ eraPom00(xp, yp, sp, rpom);
+
+/* Combine to form the celestial-to-terrestrial matrix. */
+ eraC2tcio(rc2i, era, rpom, rc2t);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/c2t00b.c b/src/detail/erfa/c2t00b.c
new file mode 100644
index 000000000..0a7e5e167
--- /dev/null
+++ b/src/detail/erfa/c2t00b.c
@@ -0,0 +1,161 @@
+#include "erfa.h"
+
+void eraC2t00b(double tta, double ttb, double uta, double utb,
+ double xp, double yp, double rc2t[3][3])
+/*
+** - - - - - - - - - -
+** e r a C 2 t 0 0 b
+** - - - - - - - - - -
+**
+** Form the celestial to terrestrial matrix given the date, the UT1 and
+** the polar motion, using the IAU 2000B precession-nutation model.
+**
+** Given:
+** tta,ttb double TT as a 2-part Julian Date (Note 1)
+** uta,utb double UT1 as a 2-part Julian Date (Note 1)
+** xp,yp double coordinates of the pole (radians, Note 2)
+**
+** Returned:
+** rc2t double[3][3] celestial-to-terrestrial matrix (Note 3)
+**
+** Notes:
+**
+** 1) The TT and UT1 dates tta+ttb and uta+utb are Julian Dates,
+** apportioned in any convenient way between the arguments uta and
+** utb. For example, JD(UT1)=2450123.7 could be expressed in any of
+** these ways, among others:
+**
+** uta utb
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution is
+** acceptable. The J2000 and MJD methods are good compromises
+** between resolution and convenience. In the case of uta,utb, the
+** date & time method is best matched to the Earth rotation angle
+** algorithm used: maximum precision is delivered when the uta
+** argument is for 0hrs UT1 on the day in question and the utb
+** argument lies in the range 0 to 1, or vice versa.
+**
+** 2) The arguments xp and yp are the coordinates (in radians) of the
+** Celestial Intermediate Pole with respect to the International
+** Terrestrial Reference System (see IERS Conventions 2003),
+** measured along the meridians 0 and 90 deg west respectively.
+**
+** 3) The matrix rc2t transforms from celestial to terrestrial
+** coordinates:
+**
+** [TRS] = RPOM * R_3(ERA) * RC2I * [CRS]
+**
+** = rc2t * [CRS]
+**
+** where [CRS] is a vector in the Geocentric Celestial Reference
+** System and [TRS] is a vector in the International Terrestrial
+** Reference System (see IERS Conventions 2003), RC2I is the
+** celestial-to-intermediate matrix, ERA is the Earth rotation
+** angle and RPOM is the polar motion matrix.
+**
+** 4) The present function is faster, but slightly less accurate (about
+** 1 mas), than the eraC2t00a function.
+**
+** Called:
+** eraC2i00b celestial-to-intermediate matrix, IAU 2000B
+** eraEra00 Earth rotation angle, IAU 2000
+** eraPom00 polar motion matrix
+** eraC2tcio form CIO-based celestial-to-terrestrial matrix
+**
+** Reference:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rc2i[3][3], era, rpom[3][3];
+
+
+/* Form the celestial-to-intermediate matrix for this TT (IAU 2000B). */
+ eraC2i00b(tta, ttb, rc2i);
+
+/* Predict the Earth rotation angle for this UT1. */
+ era = eraEra00(uta, utb);
+
+/* Form the polar motion matrix (neglecting s'). */
+ eraPom00(xp, yp, 0.0, rpom);
+
+/* Combine to form the celestial-to-terrestrial matrix. */
+ eraC2tcio(rc2i, era, rpom, rc2t);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/c2t06a.c b/src/detail/erfa/c2t06a.c
new file mode 100644
index 000000000..14e6eb139
--- /dev/null
+++ b/src/detail/erfa/c2t06a.c
@@ -0,0 +1,163 @@
+#include "erfa.h"
+
+void eraC2t06a(double tta, double ttb, double uta, double utb,
+ double xp, double yp, double rc2t[3][3])
+/*
+** - - - - - - - - - -
+** e r a C 2 t 0 6 a
+** - - - - - - - - - -
+**
+** Form the celestial to terrestrial matrix given the date, the UT1 and
+** the polar motion, using the IAU 2006/2000A precession-nutation
+** model.
+**
+** Given:
+** tta,ttb double TT as a 2-part Julian Date (Note 1)
+** uta,utb double UT1 as a 2-part Julian Date (Note 1)
+** xp,yp double coordinates of the pole (radians, Note 2)
+**
+** Returned:
+** rc2t double[3][3] celestial-to-terrestrial matrix (Note 3)
+**
+** Notes:
+**
+** 1) The TT and UT1 dates tta+ttb and uta+utb are Julian Dates,
+** apportioned in any convenient way between the two arguments. For
+** example, JD(UT1)=2450123.7 could be expressed in any of
+** these ways, among others:
+**
+** uta utb
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution is
+** acceptable. The J2000 and MJD methods are good compromises
+** between resolution and convenience. In the case of uta,utb, the
+** date & time method is best matched to the Earth rotation angle
+** algorithm used: maximum precision is delivered when the uta
+** argument is for 0hrs UT1 on the day in question and the utb
+** argument lies in the range 0 to 1, or vice versa.
+**
+** 2) The arguments xp and yp are the coordinates (in radians) of the
+** Celestial Intermediate Pole with respect to the International
+** Terrestrial Reference System (see IERS Conventions 2003),
+** measured along the meridians 0 and 90 deg west respectively.
+**
+** 3) The matrix rc2t transforms from celestial to terrestrial
+** coordinates:
+**
+** [TRS] = RPOM * R_3(ERA) * RC2I * [CRS]
+**
+** = rc2t * [CRS]
+**
+** where [CRS] is a vector in the Geocentric Celestial Reference
+** System and [TRS] is a vector in the International Terrestrial
+** Reference System (see IERS Conventions 2003), RC2I is the
+** celestial-to-intermediate matrix, ERA is the Earth rotation
+** angle and RPOM is the polar motion matrix.
+**
+** Called:
+** eraC2i06a celestial-to-intermediate matrix, IAU 2006/2000A
+** eraEra00 Earth rotation angle, IAU 2000
+** eraSp00 the TIO locator s', IERS 2000
+** eraPom00 polar motion matrix
+** eraC2tcio form CIO-based celestial-to-terrestrial matrix
+**
+** Reference:
+**
+** McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG
+**
+** This revision: 2023 January 18
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rc2i[3][3], era, sp, rpom[3][3];
+
+
+/* Form the celestial-to-intermediate matrix for this TT. */
+ eraC2i06a(tta, ttb, rc2i);
+
+/* Predict the Earth rotation angle for this UT1. */
+ era = eraEra00(uta, utb);
+
+/* Estimate s'. */
+ sp = eraSp00(tta, ttb);
+
+/* Form the polar motion matrix. */
+ eraPom00(xp, yp, sp, rpom);
+
+/* Combine to form the celestial-to-terrestrial matrix. */
+ eraC2tcio(rc2i, era, rpom, rc2t);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/c2tcio.c b/src/detail/erfa/c2tcio.c
new file mode 100644
index 000000000..a87493633
--- /dev/null
+++ b/src/detail/erfa/c2tcio.c
@@ -0,0 +1,133 @@
+#include "erfa.h"
+
+void eraC2tcio(double rc2i[3][3], double era, double rpom[3][3],
+ double rc2t[3][3])
+/*
+** - - - - - - - - - -
+** e r a C 2 t c i o
+** - - - - - - - - - -
+**
+** Assemble the celestial to terrestrial matrix from CIO-based
+** components (the celestial-to-intermediate matrix, the Earth Rotation
+** Angle and the polar motion matrix).
+**
+** Given:
+** rc2i double[3][3] celestial-to-intermediate matrix
+** era double Earth rotation angle (radians)
+** rpom double[3][3] polar-motion matrix
+**
+** Returned:
+** rc2t double[3][3] celestial-to-terrestrial matrix
+**
+** Notes:
+**
+** 1) This function constructs the rotation matrix that transforms
+** vectors in the celestial system into vectors in the terrestrial
+** system. It does so starting from precomputed components, namely
+** the matrix which rotates from celestial coordinates to the
+** intermediate frame, the Earth rotation angle and the polar motion
+** matrix. One use of the present function is when generating a
+** series of celestial-to-terrestrial matrices where only the Earth
+** Rotation Angle changes, avoiding the considerable overhead of
+** recomputing the precession-nutation more often than necessary to
+** achieve given accuracy objectives.
+**
+** 2) The relationship between the arguments is as follows:
+**
+** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS]
+**
+** = rc2t * [CRS]
+**
+** where [CRS] is a vector in the Geocentric Celestial Reference
+** System and [TRS] is a vector in the International Terrestrial
+** Reference System (see IERS Conventions 2003).
+**
+** Called:
+** eraCr copy r-matrix
+** eraRz rotate around Z-axis
+** eraRxr product of two r-matrices
+**
+** Reference:
+**
+** McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double r[3][3];
+
+
+/* Construct the matrix. */
+ eraCr(rc2i, r);
+ eraRz(era, r);
+ eraRxr(rpom, r, rc2t);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/c2teqx.c b/src/detail/erfa/c2teqx.c
new file mode 100644
index 000000000..be95583dc
--- /dev/null
+++ b/src/detail/erfa/c2teqx.c
@@ -0,0 +1,133 @@
+#include "erfa.h"
+
+void eraC2teqx(double rbpn[3][3], double gst, double rpom[3][3],
+ double rc2t[3][3])
+/*
+** - - - - - - - - - -
+** e r a C 2 t e q x
+** - - - - - - - - - -
+**
+** Assemble the celestial to terrestrial matrix from equinox-based
+** components (the celestial-to-true matrix, the Greenwich Apparent
+** Sidereal Time and the polar motion matrix).
+**
+** Given:
+** rbpn double[3][3] celestial-to-true matrix
+** gst double Greenwich (apparent) Sidereal Time (radians)
+** rpom double[3][3] polar-motion matrix
+**
+** Returned:
+** rc2t double[3][3] celestial-to-terrestrial matrix (Note 2)
+**
+** Notes:
+**
+** 1) This function constructs the rotation matrix that transforms
+** vectors in the celestial system into vectors in the terrestrial
+** system. It does so starting from precomputed components, namely
+** the matrix which rotates from celestial coordinates to the
+** true equator and equinox of date, the Greenwich Apparent Sidereal
+** Time and the polar motion matrix. One use of the present function
+** is when generating a series of celestial-to-terrestrial matrices
+** where only the Sidereal Time changes, avoiding the considerable
+** overhead of recomputing the precession-nutation more often than
+** necessary to achieve given accuracy objectives.
+**
+** 2) The relationship between the arguments is as follows:
+**
+** [TRS] = rpom * R_3(gst) * rbpn * [CRS]
+**
+** = rc2t * [CRS]
+**
+** where [CRS] is a vector in the Geocentric Celestial Reference
+** System and [TRS] is a vector in the International Terrestrial
+** Reference System (see IERS Conventions 2003).
+**
+** Called:
+** eraCr copy r-matrix
+** eraRz rotate around Z-axis
+** eraRxr product of two r-matrices
+**
+** Reference:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double r[3][3];
+
+
+/* Construct the matrix. */
+ eraCr(rbpn, r);
+ eraRz(gst, r);
+ eraRxr(rpom, r, rc2t);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/c2tpe.c b/src/detail/erfa/c2tpe.c
new file mode 100644
index 000000000..9ef9c303e
--- /dev/null
+++ b/src/detail/erfa/c2tpe.c
@@ -0,0 +1,178 @@
+#include "erfa.h"
+
+void eraC2tpe(double tta, double ttb, double uta, double utb,
+ double dpsi, double deps, double xp, double yp,
+ double rc2t[3][3])
+/*
+** - - - - - - - - -
+** e r a C 2 t p e
+** - - - - - - - - -
+**
+** Form the celestial to terrestrial matrix given the date, the UT1,
+** the nutation and the polar motion. IAU 2000.
+**
+** Given:
+** tta,ttb double TT as a 2-part Julian Date (Note 1)
+** uta,utb double UT1 as a 2-part Julian Date (Note 1)
+** dpsi,deps double nutation (Note 2)
+** xp,yp double coordinates of the pole (radians, Note 3)
+**
+** Returned:
+** rc2t double[3][3] celestial-to-terrestrial matrix (Note 4)
+**
+** Notes:
+**
+** 1) The TT and UT1 dates tta+ttb and uta+utb are Julian Dates,
+** apportioned in any convenient way between the arguments uta and
+** utb. For example, JD(UT1)=2450123.7 could be expressed in any of
+** these ways, among others:
+**
+** uta utb
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution is
+** acceptable. The J2000 and MJD methods are good compromises
+** between resolution and convenience. In the case of uta,utb, the
+** date & time method is best matched to the Earth rotation angle
+** algorithm used: maximum precision is delivered when the uta
+** argument is for 0hrs UT1 on the day in question and the utb
+** argument lies in the range 0 to 1, or vice versa.
+**
+** 2) The caller is responsible for providing the nutation components;
+** they are in longitude and obliquity, in radians and are with
+** respect to the equinox and ecliptic of date. For high-accuracy
+** applications, free core nutation should be included as well as
+** any other relevant corrections to the position of the CIP.
+**
+** 3) The arguments xp and yp are the coordinates (in radians) of the
+** Celestial Intermediate Pole with respect to the International
+** Terrestrial Reference System (see IERS Conventions 2003),
+** measured along the meridians 0 and 90 deg west respectively.
+**
+** 4) The matrix rc2t transforms from celestial to terrestrial
+** coordinates:
+**
+** [TRS] = RPOM * R_3(GST) * RBPN * [CRS]
+**
+** = rc2t * [CRS]
+**
+** where [CRS] is a vector in the Geocentric Celestial Reference
+** System and [TRS] is a vector in the International Terrestrial
+** Reference System (see IERS Conventions 2003), RBPN is the
+** bias-precession-nutation matrix, GST is the Greenwich (apparent)
+** Sidereal Time and RPOM is the polar motion matrix.
+**
+** 5) Although its name does not include "00", This function is in fact
+** specific to the IAU 2000 models.
+**
+** Called:
+** eraPn00 bias/precession/nutation results, IAU 2000
+** eraGmst00 Greenwich mean sidereal time, IAU 2000
+** eraSp00 the TIO locator s', IERS 2000
+** eraEe00 equation of the equinoxes, IAU 2000
+** eraPom00 polar motion matrix
+** eraC2teqx form equinox-based celestial-to-terrestrial matrix
+**
+** Reference:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double epsa, rb[3][3], rp[3][3], rbp[3][3], rn[3][3],
+ rbpn[3][3], gmst, ee, sp, rpom[3][3];
+
+
+/* Form the celestial-to-true matrix for this TT. */
+ eraPn00(tta, ttb, dpsi, deps, &epsa, rb, rp, rbp, rn, rbpn);
+
+/* Predict the Greenwich Mean Sidereal Time for this UT1 and TT. */
+ gmst = eraGmst00(uta, utb, tta, ttb);
+
+/* Predict the equation of the equinoxes given TT and nutation. */
+ ee = eraEe00(tta, ttb, epsa, dpsi);
+
+/* Estimate s'. */
+ sp = eraSp00(tta, ttb);
+
+/* Form the polar motion matrix. */
+ eraPom00(xp, yp, sp, rpom);
+
+/* Combine to form the celestial-to-terrestrial matrix. */
+ eraC2teqx(rbpn, gmst + ee, rpom, rc2t);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/c2txy.c b/src/detail/erfa/c2txy.c
new file mode 100644
index 000000000..9a922929b
--- /dev/null
+++ b/src/detail/erfa/c2txy.c
@@ -0,0 +1,170 @@
+#include "erfa.h"
+
+void eraC2txy(double tta, double ttb, double uta, double utb,
+ double x, double y, double xp, double yp,
+ double rc2t[3][3])
+/*
+** - - - - - - - - -
+** e r a C 2 t x y
+** - - - - - - - - -
+**
+** Form the celestial to terrestrial matrix given the date, the UT1,
+** the CIP coordinates and the polar motion. IAU 2000.
+**
+** Given:
+** tta,ttb double TT as a 2-part Julian Date (Note 1)
+** uta,utb double UT1 as a 2-part Julian Date (Note 1)
+** x,y double Celestial Intermediate Pole (Note 2)
+** xp,yp double coordinates of the pole (radians, Note 3)
+**
+** Returned:
+** rc2t double[3][3] celestial-to-terrestrial matrix (Note 4)
+**
+** Notes:
+**
+** 1) The TT and UT1 dates tta+ttb and uta+utb are Julian Dates,
+** apportioned in any convenient way between the arguments uta and
+** utb. For example, JD(UT1)=2450123.7 could be expressed in any o
+** these ways, among others:
+**
+** uta utb
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution is
+** acceptable. The J2000 and MJD methods are good compromises
+** between resolution and convenience. In the case of uta,utb, the
+** date & time method is best matched to the Earth rotation angle
+** algorithm used: maximum precision is delivered when the uta
+** argument is for 0hrs UT1 on the day in question and the utb
+** argument lies in the range 0 to 1, or vice versa.
+**
+** 2) The Celestial Intermediate Pole coordinates are the x,y
+** components of the unit vector in the Geocentric Celestial
+** Reference System.
+**
+** 3) The arguments xp and yp are the coordinates (in radians) of the
+** Celestial Intermediate Pole with respect to the International
+** Terrestrial Reference System (see IERS Conventions 2003),
+** measured along the meridians 0 and 90 deg west respectively.
+**
+** 4) The matrix rc2t transforms from celestial to terrestrial
+** coordinates:
+**
+** [TRS] = RPOM * R_3(ERA) * RC2I * [CRS]
+**
+** = rc2t * [CRS]
+**
+** where [CRS] is a vector in the Geocentric Celestial Reference
+** System and [TRS] is a vector in the International Terrestrial
+** Reference System (see IERS Conventions 2003), ERA is the Earth
+** Rotation Angle and RPOM is the polar motion matrix.
+**
+** 5) Although its name does not include "00", This function is in fact
+** specific to the IAU 2000 models.
+**
+** Called:
+** eraC2ixy celestial-to-intermediate matrix, given X,Y
+** eraEra00 Earth rotation angle, IAU 2000
+** eraSp00 the TIO locator s', IERS 2000
+** eraPom00 polar motion matrix
+** eraC2tcio form CIO-based celestial-to-terrestrial matrix
+**
+** Reference:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rc2i[3][3], era, sp, rpom[3][3];
+
+
+/* Form the celestial-to-intermediate matrix for this TT. */
+ eraC2ixy(tta, ttb, x, y, rc2i);
+
+/* Predict the Earth rotation angle for this UT1. */
+ era = eraEra00(uta, utb);
+
+/* Estimate s'. */
+ sp = eraSp00(tta, ttb);
+
+/* Form the polar motion matrix. */
+ eraPom00(xp, yp, sp, rpom);
+
+/* Combine to form the celestial-to-terrestrial matrix. */
+ eraC2tcio(rc2i, era, rpom, rc2t);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/cal2jd.c b/src/detail/erfa/cal2jd.c
new file mode 100644
index 000000000..8a59532e0
--- /dev/null
+++ b/src/detail/erfa/cal2jd.c
@@ -0,0 +1,153 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraCal2jd(int iy, int im, int id, double *djm0, double *djm)
+/*
+** - - - - - - - - - -
+** e r a C a l 2 j d
+** - - - - - - - - - -
+**
+** Gregorian Calendar to Julian Date.
+**
+** Given:
+** iy,im,id int year, month, day in Gregorian calendar (Note 1)
+**
+** Returned:
+** djm0 double MJD zero-point: always 2400000.5
+** djm double Modified Julian Date for 0 hrs
+**
+** Returned (function value):
+** int status:
+** 0 = OK
+** -1 = bad year (Note 3: JD not computed)
+** -2 = bad month (JD not computed)
+** -3 = bad day (JD computed)
+**
+** Notes:
+**
+** 1) The algorithm used is valid from -4800 March 1, but this
+** implementation rejects dates before -4799 January 1.
+**
+** 2) The Julian Date is returned in two pieces, in the usual ERFA
+** manner, which is designed to preserve time resolution. The
+** Julian Date is available as a single number by adding djm0 and
+** djm.
+**
+** 3) In early eras the conversion is from the "Proleptic Gregorian
+** Calendar"; no account is taken of the date(s) of adoption of
+** the Gregorian Calendar, nor is the AD/BC numbering convention
+** observed.
+**
+** Reference:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992),
+** Section 12.92 (p604).
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int j, ly, my;
+ long iypmy;
+
+/* Earliest year allowed (4800BC) */
+ const int IYMIN = -4799;
+
+/* Month lengths in days */
+ static const int mtab[]
+ = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
+
+
+/* Preset status. */
+ j = 0;
+
+/* Validate year and month. */
+ if (iy < IYMIN) return -1;
+ if (im < 1 || im > 12) return -2;
+
+/* If February in a leap year, 1, otherwise 0. */
+ ly = ((im == 2) && !(iy%4) && (iy%100 || !(iy%400)));
+
+/* Validate day, taking into account leap years. */
+ if ( (id < 1) || (id > (mtab[im-1] + ly))) j = -3;
+
+/* Return result. */
+ my = (im - 14) / 12;
+ iypmy = (long) (iy + my);
+ *djm0 = ERFA_DJM0;
+ *djm = (double)((1461L * (iypmy + 4800L)) / 4L
+ + (367L * (long) (im - 2 - 12 * my)) / 12L
+ - (3L * ((iypmy + 4900L) / 100L)) / 4L
+ + (long) id - 2432076L);
+
+/* Return status. */
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/cp.c b/src/detail/erfa/cp.c
new file mode 100644
index 000000000..10f0d082d
--- /dev/null
+++ b/src/detail/erfa/cp.c
@@ -0,0 +1,91 @@
+#include "erfa.h"
+
+void eraCp(double p[3], double c[3])
+/*
+** - - - - - -
+** e r a C p
+** - - - - - -
+**
+** Copy a p-vector.
+**
+** Given:
+** p double[3] p-vector to be copied
+**
+** Returned:
+** c double[3] copy
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ c[0] = p[0];
+ c[1] = p[1];
+ c[2] = p[2];
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/cpv.c b/src/detail/erfa/cpv.c
new file mode 100644
index 000000000..108fcdce1
--- /dev/null
+++ b/src/detail/erfa/cpv.c
@@ -0,0 +1,93 @@
+#include "erfa.h"
+
+void eraCpv(double pv[2][3], double c[2][3])
+/*
+** - - - - - - -
+** e r a C p v
+** - - - - - - -
+**
+** Copy a position/velocity vector.
+**
+** Given:
+** pv double[2][3] position/velocity vector to be copied
+**
+** Returned:
+** c double[2][3] copy
+**
+** Called:
+** eraCp copy p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ eraCp(pv[0], c[0]);
+ eraCp(pv[1], c[1]);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/cr.c b/src/detail/erfa/cr.c
new file mode 100644
index 000000000..e4d6d021c
--- /dev/null
+++ b/src/detail/erfa/cr.c
@@ -0,0 +1,94 @@
+#include "erfa.h"
+
+void eraCr(double r[3][3], double c[3][3])
+/*
+** - - - - - -
+** e r a C r
+** - - - - - -
+**
+** Copy an r-matrix.
+**
+** Given:
+** r double[3][3] r-matrix to be copied
+**
+** Returned:
+** c double[3][3] copy
+**
+** Called:
+** eraCp copy p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ eraCp(r[0], c[0]);
+ eraCp(r[1], c[1]);
+ eraCp(r[2], c[2]);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/d2dtf.c b/src/detail/erfa/d2dtf.c
new file mode 100644
index 000000000..9765d4c4b
--- /dev/null
+++ b/src/detail/erfa/d2dtf.c
@@ -0,0 +1,250 @@
+#include "erfa.h"
+#include "erfam.h"
+#include <string.h>
+
+int eraD2dtf(const char *scale, int ndp, double d1, double d2,
+ int *iy, int *im, int *id, int ihmsf[4])
+/*
+** - - - - - - - - -
+** e r a D 2 d t f
+** - - - - - - - - -
+**
+** Format for output a 2-part Julian Date (or in the case of UTC a
+** quasi-JD form that includes special provision for leap seconds).
+**
+** Given:
+** scale char[] time scale ID (Note 1)
+** ndp int resolution (Note 2)
+** d1,d2 double time as a 2-part Julian Date (Notes 3,4)
+**
+** Returned:
+** iy,im,id int year, month, day in Gregorian calendar (Note 5)
+** ihmsf int[4] hours, minutes, seconds, fraction (Note 1)
+**
+** Returned (function value):
+** int status: +1 = dubious year (Note 5)
+** 0 = OK
+** -1 = unacceptable date (Note 6)
+**
+** Notes:
+**
+** 1) scale identifies the time scale. Only the value "UTC" (in upper
+** case) is significant, and enables handling of leap seconds (see
+** Note 4).
+**
+** 2) ndp is the number of decimal places in the seconds field, and can
+** have negative as well as positive values, such as:
+**
+** ndp resolution
+** -4 1 00 00
+** -3 0 10 00
+** -2 0 01 00
+** -1 0 00 10
+** 0 0 00 01
+** 1 0 00 00.1
+** 2 0 00 00.01
+** 3 0 00 00.001
+**
+** The limits are platform dependent, but a safe range is -5 to +9.
+**
+** 3) d1+d2 is Julian Date, apportioned in any convenient way between
+** the two arguments, for example where d1 is the Julian Day Number
+** and d2 is the fraction of a day. In the case of UTC, where the
+** use of JD is problematical, special conventions apply: see the
+** next note.
+**
+** 4) JD cannot unambiguously represent UTC during a leap second unless
+** special measures are taken. The ERFA internal convention is that
+** the quasi-JD day represents UTC days whether the length is 86399,
+** 86400 or 86401 SI seconds. In the 1960-1972 era there were
+** smaller jumps (in either direction) each time the linear UTC(TAI)
+** expression was changed, and these "mini-leaps" are also included
+** in the ERFA convention.
+**
+** 5) The warning status "dubious year" flags UTCs that predate the
+** introduction of the time scale or that are too far in the future
+** to be trusted. See eraDat for further details.
+**
+** 6) For calendar conventions and limitations, see eraCal2jd.
+**
+** Called:
+** eraJd2cal JD to Gregorian calendar
+** eraD2tf decompose days to hms
+** eraDat delta(AT) = TAI-UTC
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int leap;
+ char s;
+ int iy1, im1, id1, js, iy2, im2, id2, ihmsf1[4], i;
+ double a1, b1, fd, dat0, dat12, w, dat24, dleap;
+
+
+/* The two-part JD. */
+ a1 = d1;
+ b1 = d2;
+
+/* Provisional calendar date. */
+ js = eraJd2cal(a1, b1, &iy1, &im1, &id1, &fd);
+ if ( js ) return -1;
+
+/* Is this a leap second day? */
+ leap = 0;
+ if ( ! strcmp(scale,"UTC") ) {
+
+ /* TAI-UTC at 0h today. */
+ js = eraDat(iy1, im1, id1, 0.0, &dat0);
+ if ( js < 0 ) return -1;
+
+ /* TAI-UTC at 12h today (to detect drift). */
+ js = eraDat(iy1, im1, id1, 0.5, &dat12);
+ if ( js < 0 ) return -1;
+
+ /* TAI-UTC at 0h tomorrow (to detect jumps). */
+ js = eraJd2cal(a1+1.5, b1-fd, &iy2, &im2, &id2, &w);
+ if ( js ) return -1;
+ js = eraDat(iy2, im2, id2, 0.0, &dat24);
+ if ( js < 0 ) return -1;
+
+ /* Any sudden change in TAI-UTC (seconds). */
+ dleap = dat24 - (2.0*dat12 - dat0);
+
+ /* If leap second day, scale the fraction of a day into SI. */
+ leap = (fabs(dleap) > 0.5);
+ if (leap) fd += fd * dleap/ERFA_DAYSEC;
+ }
+
+/* Provisional time of day. */
+ eraD2tf ( ndp, fd, &s, ihmsf1 );
+
+/* Has the (rounded) time gone past 24h? */
+ if ( ihmsf1[0] > 23 ) {
+
+ /* Yes. We probably need tomorrow's calendar date. */
+ js = eraJd2cal(a1+1.5, b1-fd, &iy2, &im2, &id2, &w);
+ if ( js ) return -1;
+
+ /* Is today a leap second day? */
+ if ( ! leap ) {
+
+ /* No. Use 0h tomorrow. */
+ iy1 = iy2;
+ im1 = im2;
+ id1 = id2;
+ ihmsf1[0] = 0;
+ ihmsf1[1] = 0;
+ ihmsf1[2] = 0;
+
+ } else {
+
+ /* Yes. Are we past the leap second itself? */
+ if ( ihmsf1[2] > 0 ) {
+
+ /* Yes. Use tomorrow but allow for the leap second. */
+ iy1 = iy2;
+ im1 = im2;
+ id1 = id2;
+ ihmsf1[0] = 0;
+ ihmsf1[1] = 0;
+ ihmsf1[2] = 0;
+
+ } else {
+
+ /* No. Use 23 59 60... today. */
+ ihmsf1[0] = 23;
+ ihmsf1[1] = 59;
+ ihmsf1[2] = 60;
+ }
+
+ /* If rounding to 10s or coarser always go up to new day. */
+ if ( ndp < 0 && ihmsf1[2] == 60 ) {
+ iy1 = iy2;
+ im1 = im2;
+ id1 = id2;
+ ihmsf1[0] = 0;
+ ihmsf1[1] = 0;
+ ihmsf1[2] = 0;
+ }
+ }
+ }
+
+/* Results. */
+ *iy = iy1;
+ *im = im1;
+ *id = id1;
+ for ( i = 0; i < 4; i++ ) {
+ ihmsf[i] = ihmsf1[i];
+ }
+
+/* Status. */
+ return js;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/d2tf.c b/src/detail/erfa/d2tf.c
new file mode 100644
index 000000000..05387c342
--- /dev/null
+++ b/src/detail/erfa/d2tf.c
@@ -0,0 +1,172 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraD2tf(int ndp, double days, char *sign, int ihmsf[4])
+/*
+** - - - - - - - -
+** e r a D 2 t f
+** - - - - - - - -
+**
+** Decompose days to hours, minutes, seconds, fraction.
+**
+** Given:
+** ndp int resolution (Note 1)
+** days double interval in days
+**
+** Returned:
+** sign char* '+' or '-'
+** ihmsf int[4] hours, minutes, seconds, fraction
+**
+** Notes:
+**
+** 1) The argument ndp is interpreted as follows:
+**
+** ndp resolution
+** : ...0000 00 00
+** -7 1000 00 00
+** -6 100 00 00
+** -5 10 00 00
+** -4 1 00 00
+** -3 0 10 00
+** -2 0 01 00
+** -1 0 00 10
+** 0 0 00 01
+** 1 0 00 00.1
+** 2 0 00 00.01
+** 3 0 00 00.001
+** : 0 00 00.000...
+**
+** 2) The largest positive useful value for ndp is determined by the
+** size of days, the format of double on the target platform, and
+** the risk of overflowing ihmsf[3]. On a typical platform, for
+** days up to 1.0, the available floating-point precision might
+** correspond to ndp=12. However, the practical limit is typically
+** ndp=9, set by the capacity of a 32-bit int, or ndp=4 if int is
+** only 16 bits.
+**
+** 3) The absolute value of days may exceed 1.0. In cases where it
+** does not, it is up to the caller to test for and handle the
+** case where days is very nearly 1.0 and rounds up to 24 hours,
+** by testing for ihmsf[0]=24 and setting ihmsf[0-3] to zero.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int nrs, n;
+ double rs, rm, rh, a, w, ah, am, as, af;
+
+
+/* Handle sign. */
+ *sign = (char) ( ( days >= 0.0 ) ? '+' : '-' );
+
+/* Interval in seconds. */
+ a = ERFA_DAYSEC * fabs(days);
+
+/* Pre-round if resolution coarser than 1s (then pretend ndp=1). */
+ if (ndp < 0) {
+ nrs = 1;
+ for (n = 1; n <= -ndp; n++) {
+ nrs *= (n == 2 || n == 4) ? 6 : 10;
+ }
+ rs = (double) nrs;
+ w = a / rs;
+ a = rs * ERFA_DNINT(w);
+ }
+
+/* Express the unit of each field in resolution units. */
+ nrs = 1;
+ for (n = 1; n <= ndp; n++) {
+ nrs *= 10;
+ }
+ rs = (double) nrs;
+ rm = rs * 60.0;
+ rh = rm * 60.0;
+
+/* Round the interval and express in resolution units. */
+ a = ERFA_DNINT(rs * a);
+
+/* Break into fields. */
+ ah = a / rh;
+ ah = ERFA_DINT(ah);
+ a -= ah * rh;
+ am = a / rm;
+ am = ERFA_DINT(am);
+ a -= am * rm;
+ as = a / rs;
+ as = ERFA_DINT(as);
+ af = a - as * rs;
+
+/* Return results. */
+ ihmsf[0] = (int) ah;
+ ihmsf[1] = (int) am;
+ ihmsf[2] = (int) as;
+ ihmsf[3] = (int) af;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/dat.c b/src/detail/erfa/dat.c
new file mode 100644
index 000000000..aabd95284
--- /dev/null
+++ b/src/detail/erfa/dat.c
@@ -0,0 +1,314 @@
+#include "erfa.h"
+#include "erfadatextra.h"
+
+int eraDat(int iy, int im, int id, double fd, double *deltat)
+/*
+** - - - - - - -
+** e r a D a t
+** - - - - - - -
+**
+** For a given UTC date, calculate Delta(AT) = TAI-UTC.
+**
+** :------------------------------------------:
+** : :
+** : IMPORTANT :
+** : :
+** : A new version of this function must be :
+** : produced whenever a new leap second is :
+** : announced. There are four items to :
+** : change on each such occasion: :
+** : :
+** : 1) A new line must be added to the set :
+** : of statements that initialize the :
+** : array "changes". :
+** : :
+** : 2) The constant IYV must be set to the :
+** : current year. :
+** : :
+** : 3) The "Latest leap second" comment :
+** : below must be set to the new leap :
+** : second date. :
+** : :
+** : 4) The "This revision" comment, later, :
+** : must be set to the current date. :
+** : :
+** : Change (2) must also be carried out :
+** : whenever the function is re-issued, :
+** : even if no leap seconds have been :
+** : added. :
+** : :
+** : Latest leap second: 2016 December 31 :
+** : :
+** :__________________________________________:
+**
+** Given:
+** iy int UTC: year (Notes 1 and 2)
+** im int month (Note 2)
+** id int day (Notes 2 and 3)
+** fd double fraction of day (Note 4)
+**
+** Returned:
+** deltat double TAI minus UTC, seconds
+**
+** Returned (function value):
+** int status (Note 5):
+** 1 = dubious year (Note 1)
+** 0 = OK
+** -1 = bad year
+** -2 = bad month
+** -3 = bad day (Note 3)
+** -4 = bad fraction (Note 4)
+** -5 = internal error (Note 5)
+**
+** Notes:
+**
+** 1) UTC began at 1960 January 1.0 (JD 2436934.5) and it is improper
+** to call the function with an earlier date. If this is attempted,
+** zero is returned together with a warning status.
+**
+** Because leap seconds cannot, in principle, be predicted in
+** advance, a reliable check for dates beyond the valid range is
+** impossible. To guard against gross errors, a year five or more
+** after the release year of the present function (see the constant
+** IYV) is considered dubious. In this case a warning status is
+** returned but the result is computed in the normal way.
+**
+** For both too-early and too-late years, the warning status is +1.
+** This is distinct from the error status -1, which signifies a year
+** so early that JD could not be computed.
+**
+** 2) If the specified date is for a day which ends with a leap second,
+** the TAI-UTC value returned is for the period leading up to the
+** leap second. If the date is for a day which begins as a leap
+** second ends, the TAI-UTC returned is for the period following the
+** leap second.
+**
+** 3) The day number must be in the normal calendar range, for example
+** 1 through 30 for April. The "almanac" convention of allowing
+** such dates as January 0 and December 32 is not supported in this
+** function, in order to avoid confusion near leap seconds.
+**
+** 4) The fraction of day is used only for dates before the
+** introduction of leap seconds, the first of which occurred at the
+** end of 1971. It is tested for validity (0 to 1 is the valid
+** range) even if not used; if invalid, zero is used and status -4
+** is returned. For many applications, setting fd to zero is
+** acceptable; the resulting error is always less than 3 ms (and
+** occurs only pre-1972).
+**
+** 5) The status value returned in the case where there are multiple
+** errors refers to the first error detected. For example, if the
+** month and day are 13 and 32 respectively, status -2 (bad month)
+** will be returned. The "internal error" status refers to a
+** case that is impossible but causes some compilers to issue a
+** warning.
+**
+** 6) In cases where a valid result is not available, zero is returned.
+**
+** References:
+**
+** 1) For dates from 1961 January 1 onwards, the expressions from the
+** file ftp://maia.usno.navy.mil/ser7/tai-utc.dat are used.
+**
+** 2) The 5ms timestep at 1961 January 1 is taken from 2.58.1 (p87) of
+** the 1992 Explanatory Supplement.
+**
+** Called:
+** eraCal2jd Gregorian calendar to JD
+**
+** This revision: 2023 January 17
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Release year for this version of eraDat */
+ enum { IYV = 2023};
+
+/* Reference dates (MJD) and drift rates (s/day), pre leap seconds */
+ static const double drift[][2] = {
+ { 37300.0, 0.0012960 },
+ { 37300.0, 0.0012960 },
+ { 37300.0, 0.0012960 },
+ { 37665.0, 0.0011232 },
+ { 37665.0, 0.0011232 },
+ { 38761.0, 0.0012960 },
+ { 38761.0, 0.0012960 },
+ { 38761.0, 0.0012960 },
+ { 38761.0, 0.0012960 },
+ { 38761.0, 0.0012960 },
+ { 38761.0, 0.0012960 },
+ { 38761.0, 0.0012960 },
+ { 39126.0, 0.0025920 },
+ { 39126.0, 0.0025920 }
+ };
+
+/* Number of Delta(AT) expressions before leap seconds were introduced */
+ enum { NERA1 = (int) (sizeof drift / sizeof (double) / 2) };
+
+/* Dates and Delta(AT)s */
+ static const eraLEAPSECOND _changes[] = {
+ { 1960, 1, 1.4178180 },
+ { 1961, 1, 1.4228180 },
+ { 1961, 8, 1.3728180 },
+ { 1962, 1, 1.8458580 },
+ { 1963, 11, 1.9458580 },
+ { 1964, 1, 3.2401300 },
+ { 1964, 4, 3.3401300 },
+ { 1964, 9, 3.4401300 },
+ { 1965, 1, 3.5401300 },
+ { 1965, 3, 3.6401300 },
+ { 1965, 7, 3.7401300 },
+ { 1965, 9, 3.8401300 },
+ { 1966, 1, 4.3131700 },
+ { 1968, 2, 4.2131700 },
+ { 1972, 1, 10.0 },
+ { 1972, 7, 11.0 },
+ { 1973, 1, 12.0 },
+ { 1974, 1, 13.0 },
+ { 1975, 1, 14.0 },
+ { 1976, 1, 15.0 },
+ { 1977, 1, 16.0 },
+ { 1978, 1, 17.0 },
+ { 1979, 1, 18.0 },
+ { 1980, 1, 19.0 },
+ { 1981, 7, 20.0 },
+ { 1982, 7, 21.0 },
+ { 1983, 7, 22.0 },
+ { 1985, 7, 23.0 },
+ { 1988, 1, 24.0 },
+ { 1990, 1, 25.0 },
+ { 1991, 1, 26.0 },
+ { 1992, 7, 27.0 },
+ { 1993, 7, 28.0 },
+ { 1994, 7, 29.0 },
+ { 1996, 1, 30.0 },
+ { 1997, 7, 31.0 },
+ { 1999, 1, 32.0 },
+ { 2006, 1, 33.0 },
+ { 2009, 1, 34.0 },
+ { 2012, 7, 35.0 },
+ { 2015, 7, 36.0 },
+ { 2017, 1, 37.0 }
+ };
+
+/* Number of Delta(AT) changes */
+ enum { _NDAT = (int) (sizeof _changes / sizeof _changes[0]) };
+
+/* Get/initialise leap-second if needed */
+ int NDAT;
+ eraLEAPSECOND *changes;
+
+ NDAT = eraDatini(_changes, _NDAT, &changes);
+
+/* Miscellaneous local variables */
+ int j, i, m;
+ double da, djm0, djm;
+
+
+/* Initialize the result to zero. */
+ *deltat = da = 0.0;
+
+/* If invalid fraction of a day, set error status and give up. */
+ if (fd < 0.0 || fd > 1.0) return -4;
+
+/* Convert the date into an MJD. */
+ j = eraCal2jd(iy, im, id, &djm0, &djm);
+
+/* If invalid year, month, or day, give up. */
+ if (j < 0) return j;
+
+/* If pre-UTC year, set warning status and give up. */
+ if (iy < changes[0].iyear) return 1;
+
+/* If suspiciously late year, set warning status but proceed. */
+ if (iy > IYV + 5) j = 1;
+
+/* Combine year and month to form a date-ordered integer... */
+ m = 12*iy + im;
+
+/* ...and use it to find the preceding table entry. */
+ for (i = NDAT-1; i >=0; i--) {
+ if (m >= (12 * changes[i].iyear + changes[i].month)) break;
+ }
+
+/* Prevent underflow warnings. */
+ if (i < 0) return -5;
+
+/* Get the Delta(AT). */
+ da = changes[i].delat;
+
+/* If pre-1972, adjust for drift. */
+ if (i < NERA1) da += (djm + fd - drift[i][0]) * drift[i][1];
+
+/* Return the Delta(AT) value. */
+ *deltat = da;
+
+/* Return the status. */
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/dtdb.c b/src/detail/erfa/dtdb.c
new file mode 100644
index 000000000..616b4f34a
--- /dev/null
+++ b/src/detail/erfa/dtdb.c
@@ -0,0 +1,1227 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraDtdb(double date1, double date2,
+ double ut, double elong, double u, double v)
+/*
+** - - - - - - - -
+** e r a D t d b
+** - - - - - - - -
+**
+** An approximation to TDB-TT, the difference between barycentric
+** dynamical time and terrestrial time, for an observer on the Earth.
+**
+** The different time scales - proper, coordinate and realized - are
+** related to each other:
+**
+** TAI <- physically realized
+** :
+** offset <- observed (nominally +32.184s)
+** :
+** TT <- terrestrial time
+** :
+** rate adjustment (L_G) <- definition of TT
+** :
+** TCG <- time scale for GCRS
+** :
+** "periodic" terms <- eraDtdb is an implementation
+** :
+** rate adjustment (L_C) <- function of solar-system ephemeris
+** :
+** TCB <- time scale for BCRS
+** :
+** rate adjustment (-L_B) <- definition of TDB
+** :
+** TDB <- TCB scaled to track TT
+** :
+** "periodic" terms <- -eraDtdb is an approximation
+** :
+** TT <- terrestrial time
+**
+** Adopted values for the various constants can be found in the IERS
+** Conventions (McCarthy & Petit 2003).
+**
+** Given:
+** date1,date2 double date, TDB (Notes 1-3)
+** ut double universal time (UT1, fraction of one day)
+** elong double longitude (east positive, radians)
+** u double distance from Earth spin axis (km)
+** v double distance north of equatorial plane (km)
+**
+** Returned (function value):
+** double TDB-TT (seconds)
+**
+** Notes:
+**
+** 1) The date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** Although the date is, formally, barycentric dynamical time (TDB),
+** the terrestrial dynamical time (TT) can be used with no practical
+** effect on the accuracy of the prediction.
+**
+** 2) TT can be regarded as a coordinate time that is realized as an
+** offset of 32.184s from International Atomic Time, TAI. TT is a
+** specific linear transformation of geocentric coordinate time TCG,
+** which is the time scale for the Geocentric Celestial Reference
+** System, GCRS.
+**
+** 3) TDB is a coordinate time, and is a specific linear transformation
+** of barycentric coordinate time TCB, which is the time scale for
+** the Barycentric Celestial Reference System, BCRS.
+**
+** 4) The difference TCG-TCB depends on the masses and positions of the
+** bodies of the solar system and the velocity of the Earth. It is
+** dominated by a rate difference, the residual being of a periodic
+** character. The latter, which is modeled by the present function,
+** comprises a main (annual) sinusoidal term of amplitude
+** approximately 0.00166 seconds, plus planetary terms up to about
+** 20 microseconds, and lunar and diurnal terms up to 2 microseconds.
+** These effects come from the changing transverse Doppler effect
+** and gravitational red-shift as the observer (on the Earth's
+** surface) experiences variations in speed (with respect to the
+** BCRS) and gravitational potential.
+**
+** 5) TDB can be regarded as the same as TCB but with a rate adjustment
+** to keep it close to TT, which is convenient for many applications.
+** The history of successive attempts to define TDB is set out in
+** Resolution 3 adopted by the IAU General Assembly in 2006, which
+** defines a fixed TDB(TCB) transformation that is consistent with
+** contemporary solar-system ephemerides. Future ephemerides will
+** imply slightly changed transformations between TCG and TCB, which
+** could introduce a linear drift between TDB and TT; however, any
+** such drift is unlikely to exceed 1 nanosecond per century.
+**
+** 6) The geocentric TDB-TT model used in the present function is that of
+** Fairhead & Bretagnon (1990), in its full form. It was originally
+** supplied by Fairhead (private communications with P.T.Wallace,
+** 1990) as a Fortran subroutine. The present C function contains an
+** adaptation of the Fairhead code. The numerical results are
+** essentially unaffected by the changes, the differences with
+** respect to the Fairhead & Bretagnon original being at the 1e-20 s
+** level.
+**
+** The topocentric part of the model is from Moyer (1981) and
+** Murray (1983), with fundamental arguments adapted from
+** Simon et al. 1994. It is an approximation to the expression
+** ( v / c ) . ( r / c ), where v is the barycentric velocity of
+** the Earth, r is the geocentric position of the observer and
+** c is the speed of light.
+**
+** By supplying zeroes for u and v, the topocentric part of the
+** model can be nullified, and the function will return the Fairhead
+** & Bretagnon result alone.
+**
+** 7) During the interval 1950-2050, the absolute accuracy is better
+** than +/- 3 nanoseconds relative to time ephemerides obtained by
+** direct numerical integrations based on the JPL DE405 solar system
+** ephemeris.
+**
+** 8) It must be stressed that the present function is merely a model,
+** and that numerical integration of solar-system ephemerides is the
+** definitive method for predicting the relationship between TCG and
+** TCB and hence between TT and TDB.
+**
+** References:
+**
+** Fairhead, L., & Bretagnon, P., Astron.Astrophys., 229, 240-247
+** (1990).
+**
+** IAU 2006 Resolution 3.
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Moyer, T.D., Cel.Mech., 23, 33 (1981).
+**
+** Murray, C.A., Vectorial Astrometry, Adam Hilger (1983).
+**
+** Seidelmann, P.K. et al., Explanatory Supplement to the
+** Astronomical Almanac, Chapter 2, University Science Books (1992).
+**
+** Simon, J.L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G. & Laskar, J., Astron.Astrophys., 282, 663-683 (1994).
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t, tsol, w, elsun, emsun, d, elj, els, wt, w0, w1, w2, w3, w4,
+ wf, wj;
+ int j;
+
+/*
+** =====================
+** Fairhead et al. model
+** =====================
+**
+** 787 sets of three coefficients.
+**
+** Each set is
+** amplitude (microseconds)
+** frequency (radians per Julian millennium since J2000.0)
+** phase (radians)
+**
+** Sets 1-474 are the T**0 terms
+** " 475-679 " " T**1
+** " 680-764 " " T**2
+** " 765-784 " " T**3
+** " 785-787 " " T**4
+*/
+
+ static const double fairhd[787][3] = {
+ /* 1, 10 */
+ { 1656.674564e-6, 6283.075849991, 6.240054195 },
+ { 22.417471e-6, 5753.384884897, 4.296977442 },
+ { 13.839792e-6, 12566.151699983, 6.196904410 },
+ { 4.770086e-6, 529.690965095, 0.444401603 },
+ { 4.676740e-6, 6069.776754553, 4.021195093 },
+ { 2.256707e-6, 213.299095438, 5.543113262 },
+ { 1.694205e-6, -3.523118349, 5.025132748 },
+ { 1.554905e-6, 77713.771467920, 5.198467090 },
+ { 1.276839e-6, 7860.419392439, 5.988822341 },
+ { 1.193379e-6, 5223.693919802, 3.649823730 },
+ /* 11, 20 */
+ { 1.115322e-6, 3930.209696220, 1.422745069 },
+ { 0.794185e-6, 11506.769769794, 2.322313077 },
+ { 0.447061e-6, 26.298319800, 3.615796498 },
+ { 0.435206e-6, -398.149003408, 4.349338347 },
+ { 0.600309e-6, 1577.343542448, 2.678271909 },
+ { 0.496817e-6, 6208.294251424, 5.696701824 },
+ { 0.486306e-6, 5884.926846583, 0.520007179 },
+ { 0.432392e-6, 74.781598567, 2.435898309 },
+ { 0.468597e-6, 6244.942814354, 5.866398759 },
+ { 0.375510e-6, 5507.553238667, 4.103476804 },
+ /* 21, 30 */
+ { 0.243085e-6, -775.522611324, 3.651837925 },
+ { 0.173435e-6, 18849.227549974, 6.153743485 },
+ { 0.230685e-6, 5856.477659115, 4.773852582 },
+ { 0.203747e-6, 12036.460734888, 4.333987818 },
+ { 0.143935e-6, -796.298006816, 5.957517795 },
+ { 0.159080e-6, 10977.078804699, 1.890075226 },
+ { 0.119979e-6, 38.133035638, 4.551585768 },
+ { 0.118971e-6, 5486.777843175, 1.914547226 },
+ { 0.116120e-6, 1059.381930189, 0.873504123 },
+ { 0.137927e-6, 11790.629088659, 1.135934669 },
+ /* 31, 40 */
+ { 0.098358e-6, 2544.314419883, 0.092793886 },
+ { 0.101868e-6, -5573.142801634, 5.984503847 },
+ { 0.080164e-6, 206.185548437, 2.095377709 },
+ { 0.079645e-6, 4694.002954708, 2.949233637 },
+ { 0.062617e-6, 20.775395492, 2.654394814 },
+ { 0.075019e-6, 2942.463423292, 4.980931759 },
+ { 0.064397e-6, 5746.271337896, 1.280308748 },
+ { 0.063814e-6, 5760.498431898, 4.167901731 },
+ { 0.048042e-6, 2146.165416475, 1.495846011 },
+ { 0.048373e-6, 155.420399434, 2.251573730 },
+ /* 41, 50 */
+ { 0.058844e-6, 426.598190876, 4.839650148 },
+ { 0.046551e-6, -0.980321068, 0.921573539 },
+ { 0.054139e-6, 17260.154654690, 3.411091093 },
+ { 0.042411e-6, 6275.962302991, 2.869567043 },
+ { 0.040184e-6, -7.113547001, 3.565975565 },
+ { 0.036564e-6, 5088.628839767, 3.324679049 },
+ { 0.040759e-6, 12352.852604545, 3.981496998 },
+ { 0.036507e-6, 801.820931124, 6.248866009 },
+ { 0.036955e-6, 3154.687084896, 5.071801441 },
+ { 0.042732e-6, 632.783739313, 5.720622217 },
+ /* 51, 60 */
+ { 0.042560e-6, 161000.685737473, 1.270837679 },
+ { 0.040480e-6, 15720.838784878, 2.546610123 },
+ { 0.028244e-6, -6286.598968340, 5.069663519 },
+ { 0.033477e-6, 6062.663207553, 4.144987272 },
+ { 0.034867e-6, 522.577418094, 5.210064075 },
+ { 0.032438e-6, 6076.890301554, 0.749317412 },
+ { 0.030215e-6, 7084.896781115, 3.389610345 },
+ { 0.029247e-6, -71430.695617928, 4.183178762 },
+ { 0.033529e-6, 9437.762934887, 2.404714239 },
+ { 0.032423e-6, 8827.390269875, 5.541473556 },
+ /* 61, 70 */
+ { 0.027567e-6, 6279.552731642, 5.040846034 },
+ { 0.029862e-6, 12139.553509107, 1.770181024 },
+ { 0.022509e-6, 10447.387839604, 1.460726241 },
+ { 0.020937e-6, 8429.241266467, 0.652303414 },
+ { 0.020322e-6, 419.484643875, 3.735430632 },
+ { 0.024816e-6, -1194.447010225, 1.087136918 },
+ { 0.025196e-6, 1748.016413067, 2.901883301 },
+ { 0.021691e-6, 14143.495242431, 5.952658009 },
+ { 0.017673e-6, 6812.766815086, 3.186129845 },
+ { 0.022567e-6, 6133.512652857, 3.307984806 },
+ /* 71, 80 */
+ { 0.016155e-6, 10213.285546211, 1.331103168 },
+ { 0.014751e-6, 1349.867409659, 4.308933301 },
+ { 0.015949e-6, -220.412642439, 4.005298270 },
+ { 0.015974e-6, -2352.866153772, 6.145309371 },
+ { 0.014223e-6, 17789.845619785, 2.104551349 },
+ { 0.017806e-6, 73.297125859, 3.475975097 },
+ { 0.013671e-6, -536.804512095, 5.971672571 },
+ { 0.011942e-6, 8031.092263058, 2.053414715 },
+ { 0.014318e-6, 16730.463689596, 3.016058075 },
+ { 0.012462e-6, 103.092774219, 1.737438797 },
+ /* 81, 90 */
+ { 0.010962e-6, 3.590428652, 2.196567739 },
+ { 0.015078e-6, 19651.048481098, 3.969480770 },
+ { 0.010396e-6, 951.718406251, 5.717799605 },
+ { 0.011707e-6, -4705.732307544, 2.654125618 },
+ { 0.010453e-6, 5863.591206116, 1.913704550 },
+ { 0.012420e-6, 4690.479836359, 4.734090399 },
+ { 0.011847e-6, 5643.178563677, 5.489005403 },
+ { 0.008610e-6, 3340.612426700, 3.661698944 },
+ { 0.011622e-6, 5120.601145584, 4.863931876 },
+ { 0.010825e-6, 553.569402842, 0.842715011 },
+ /* 91, 100 */
+ { 0.008666e-6, -135.065080035, 3.293406547 },
+ { 0.009963e-6, 149.563197135, 4.870690598 },
+ { 0.009858e-6, 6309.374169791, 1.061816410 },
+ { 0.007959e-6, 316.391869657, 2.465042647 },
+ { 0.010099e-6, 283.859318865, 1.942176992 },
+ { 0.007147e-6, -242.728603974, 3.661486981 },
+ { 0.007505e-6, 5230.807466803, 4.920937029 },
+ { 0.008323e-6, 11769.853693166, 1.229392026 },
+ { 0.007490e-6, -6256.777530192, 3.658444681 },
+ { 0.009370e-6, 149854.400134205, 0.673880395 },
+ /* 101, 110 */
+ { 0.007117e-6, 38.027672636, 5.294249518 },
+ { 0.007857e-6, 12168.002696575, 0.525733528 },
+ { 0.007019e-6, 6206.809778716, 0.837688810 },
+ { 0.006056e-6, 955.599741609, 4.194535082 },
+ { 0.008107e-6, 13367.972631107, 3.793235253 },
+ { 0.006731e-6, 5650.292110678, 5.639906583 },
+ { 0.007332e-6, 36.648562930, 0.114858677 },
+ { 0.006366e-6, 4164.311989613, 2.262081818 },
+ { 0.006858e-6, 5216.580372801, 0.642063318 },
+ { 0.006919e-6, 6681.224853400, 6.018501522 },
+ /* 111, 120 */
+ { 0.006826e-6, 7632.943259650, 3.458654112 },
+ { 0.005308e-6, -1592.596013633, 2.500382359 },
+ { 0.005096e-6, 11371.704689758, 2.547107806 },
+ { 0.004841e-6, 5333.900241022, 0.437078094 },
+ { 0.005582e-6, 5966.683980335, 2.246174308 },
+ { 0.006304e-6, 11926.254413669, 2.512929171 },
+ { 0.006603e-6, 23581.258177318, 5.393136889 },
+ { 0.005123e-6, -1.484472708, 2.999641028 },
+ { 0.004648e-6, 1589.072895284, 1.275847090 },
+ { 0.005119e-6, 6438.496249426, 1.486539246 },
+ /* 121, 130 */
+ { 0.004521e-6, 4292.330832950, 6.140635794 },
+ { 0.005680e-6, 23013.539539587, 4.557814849 },
+ { 0.005488e-6, -3.455808046, 0.090675389 },
+ { 0.004193e-6, 7234.794256242, 4.869091389 },
+ { 0.003742e-6, 7238.675591600, 4.691976180 },
+ { 0.004148e-6, -110.206321219, 3.016173439 },
+ { 0.004553e-6, 11499.656222793, 5.554998314 },
+ { 0.004892e-6, 5436.993015240, 1.475415597 },
+ { 0.004044e-6, 4732.030627343, 1.398784824 },
+ { 0.004164e-6, 12491.370101415, 5.650931916 },
+ /* 131, 140 */
+ { 0.004349e-6, 11513.883316794, 2.181745369 },
+ { 0.003919e-6, 12528.018664345, 5.823319737 },
+ { 0.003129e-6, 6836.645252834, 0.003844094 },
+ { 0.004080e-6, -7058.598461315, 3.690360123 },
+ { 0.003270e-6, 76.266071276, 1.517189902 },
+ { 0.002954e-6, 6283.143160294, 4.447203799 },
+ { 0.002872e-6, 28.449187468, 1.158692983 },
+ { 0.002881e-6, 735.876513532, 0.349250250 },
+ { 0.003279e-6, 5849.364112115, 4.893384368 },
+ { 0.003625e-6, 6209.778724132, 1.473760578 },
+ /* 141, 150 */
+ { 0.003074e-6, 949.175608970, 5.185878737 },
+ { 0.002775e-6, 9917.696874510, 1.030026325 },
+ { 0.002646e-6, 10973.555686350, 3.918259169 },
+ { 0.002575e-6, 25132.303399966, 6.109659023 },
+ { 0.003500e-6, 263.083923373, 1.892100742 },
+ { 0.002740e-6, 18319.536584880, 4.320519510 },
+ { 0.002464e-6, 202.253395174, 4.698203059 },
+ { 0.002409e-6, 2.542797281, 5.325009315 },
+ { 0.003354e-6, -90955.551694697, 1.942656623 },
+ { 0.002296e-6, 6496.374945429, 5.061810696 },
+ /* 151, 160 */
+ { 0.003002e-6, 6172.869528772, 2.797822767 },
+ { 0.003202e-6, 27511.467873537, 0.531673101 },
+ { 0.002954e-6, -6283.008539689, 4.533471191 },
+ { 0.002353e-6, 639.897286314, 3.734548088 },
+ { 0.002401e-6, 16200.772724501, 2.605547070 },
+ { 0.003053e-6, 233141.314403759, 3.029030662 },
+ { 0.003024e-6, 83286.914269554, 2.355556099 },
+ { 0.002863e-6, 17298.182327326, 5.240963796 },
+ { 0.002103e-6, -7079.373856808, 5.756641637 },
+ { 0.002303e-6, 83996.847317911, 2.013686814 },
+ /* 161, 170 */
+ { 0.002303e-6, 18073.704938650, 1.089100410 },
+ { 0.002381e-6, 63.735898303, 0.759188178 },
+ { 0.002493e-6, 6386.168624210, 0.645026535 },
+ { 0.002366e-6, 3.932153263, 6.215885448 },
+ { 0.002169e-6, 11015.106477335, 4.845297676 },
+ { 0.002397e-6, 6243.458341645, 3.809290043 },
+ { 0.002183e-6, 1162.474704408, 6.179611691 },
+ { 0.002353e-6, 6246.427287062, 4.781719760 },
+ { 0.002199e-6, -245.831646229, 5.956152284 },
+ { 0.001729e-6, 3894.181829542, 1.264976635 },
+ /* 171, 180 */
+ { 0.001896e-6, -3128.388765096, 4.914231596 },
+ { 0.002085e-6, 35.164090221, 1.405158503 },
+ { 0.002024e-6, 14712.317116458, 2.752035928 },
+ { 0.001737e-6, 6290.189396992, 5.280820144 },
+ { 0.002229e-6, 491.557929457, 1.571007057 },
+ { 0.001602e-6, 14314.168113050, 4.203664806 },
+ { 0.002186e-6, 454.909366527, 1.402101526 },
+ { 0.001897e-6, 22483.848574493, 4.167932508 },
+ { 0.001825e-6, -3738.761430108, 0.545828785 },
+ { 0.001894e-6, 1052.268383188, 5.817167450 },
+ /* 181, 190 */
+ { 0.001421e-6, 20.355319399, 2.419886601 },
+ { 0.001408e-6, 10984.192351700, 2.732084787 },
+ { 0.001847e-6, 10873.986030480, 2.903477885 },
+ { 0.001391e-6, -8635.942003763, 0.593891500 },
+ { 0.001388e-6, -7.046236698, 1.166145902 },
+ { 0.001810e-6, -88860.057071188, 0.487355242 },
+ { 0.001288e-6, -1990.745017041, 3.913022880 },
+ { 0.001297e-6, 23543.230504682, 3.063805171 },
+ { 0.001335e-6, -266.607041722, 3.995764039 },
+ { 0.001376e-6, 10969.965257698, 5.152914309 },
+ /* 191, 200 */
+ { 0.001745e-6, 244287.600007027, 3.626395673 },
+ { 0.001649e-6, 31441.677569757, 1.952049260 },
+ { 0.001416e-6, 9225.539273283, 4.996408389 },
+ { 0.001238e-6, 4804.209275927, 5.503379738 },
+ { 0.001472e-6, 4590.910180489, 4.164913291 },
+ { 0.001169e-6, 6040.347246017, 5.841719038 },
+ { 0.001039e-6, 5540.085789459, 2.769753519 },
+ { 0.001004e-6, -170.672870619, 0.755008103 },
+ { 0.001284e-6, 10575.406682942, 5.306538209 },
+ { 0.001278e-6, 71.812653151, 4.713486491 },
+ /* 201, 210 */
+ { 0.001321e-6, 18209.330263660, 2.624866359 },
+ { 0.001297e-6, 21228.392023546, 0.382603541 },
+ { 0.000954e-6, 6282.095528923, 0.882213514 },
+ { 0.001145e-6, 6058.731054289, 1.169483931 },
+ { 0.000979e-6, 5547.199336460, 5.448375984 },
+ { 0.000987e-6, -6262.300454499, 2.656486959 },
+ { 0.001070e-6, -154717.609887482, 1.827624012 },
+ { 0.000991e-6, 4701.116501708, 4.387001801 },
+ { 0.001155e-6, -14.227094002, 3.042700750 },
+ { 0.001176e-6, 277.034993741, 3.335519004 },
+ /* 211, 220 */
+ { 0.000890e-6, 13916.019109642, 5.601498297 },
+ { 0.000884e-6, -1551.045222648, 1.088831705 },
+ { 0.000876e-6, 5017.508371365, 3.969902609 },
+ { 0.000806e-6, 15110.466119866, 5.142876744 },
+ { 0.000773e-6, -4136.910433516, 0.022067765 },
+ { 0.001077e-6, 175.166059800, 1.844913056 },
+ { 0.000954e-6, -6284.056171060, 0.968480906 },
+ { 0.000737e-6, 5326.786694021, 4.923831588 },
+ { 0.000845e-6, -433.711737877, 4.749245231 },
+ { 0.000819e-6, 8662.240323563, 5.991247817 },
+ /* 221, 230 */
+ { 0.000852e-6, 199.072001436, 2.189604979 },
+ { 0.000723e-6, 17256.631536341, 6.068719637 },
+ { 0.000940e-6, 6037.244203762, 6.197428148 },
+ { 0.000885e-6, 11712.955318231, 3.280414875 },
+ { 0.000706e-6, 12559.038152982, 2.824848947 },
+ { 0.000732e-6, 2379.164473572, 2.501813417 },
+ { 0.000764e-6, -6127.655450557, 2.236346329 },
+ { 0.000908e-6, 131.541961686, 2.521257490 },
+ { 0.000907e-6, 35371.887265976, 3.370195967 },
+ { 0.000673e-6, 1066.495477190, 3.876512374 },
+ /* 231, 240 */
+ { 0.000814e-6, 17654.780539750, 4.627122566 },
+ { 0.000630e-6, 36.027866677, 0.156368499 },
+ { 0.000798e-6, 515.463871093, 5.151962502 },
+ { 0.000798e-6, 148.078724426, 5.909225055 },
+ { 0.000806e-6, 309.278322656, 6.054064447 },
+ { 0.000607e-6, -39.617508346, 2.839021623 },
+ { 0.000601e-6, 412.371096874, 3.984225404 },
+ { 0.000646e-6, 11403.676995575, 3.852959484 },
+ { 0.000704e-6, 13521.751441591, 2.300991267 },
+ { 0.000603e-6, -65147.619767937, 4.140083146 },
+ /* 241, 250 */
+ { 0.000609e-6, 10177.257679534, 0.437122327 },
+ { 0.000631e-6, 5767.611978898, 4.026532329 },
+ { 0.000576e-6, 11087.285125918, 4.760293101 },
+ { 0.000674e-6, 14945.316173554, 6.270510511 },
+ { 0.000726e-6, 5429.879468239, 6.039606892 },
+ { 0.000710e-6, 28766.924424484, 5.672617711 },
+ { 0.000647e-6, 11856.218651625, 3.397132627 },
+ { 0.000678e-6, -5481.254918868, 6.249666675 },
+ { 0.000618e-6, 22003.914634870, 2.466427018 },
+ { 0.000738e-6, 6134.997125565, 2.242668890 },
+ /* 251, 260 */
+ { 0.000660e-6, 625.670192312, 5.864091907 },
+ { 0.000694e-6, 3496.032826134, 2.668309141 },
+ { 0.000531e-6, 6489.261398429, 1.681888780 },
+ { 0.000611e-6, -143571.324284214, 2.424978312 },
+ { 0.000575e-6, 12043.574281889, 4.216492400 },
+ { 0.000553e-6, 12416.588502848, 4.772158039 },
+ { 0.000689e-6, 4686.889407707, 6.224271088 },
+ { 0.000495e-6, 7342.457780181, 3.817285811 },
+ { 0.000567e-6, 3634.621024518, 1.649264690 },
+ { 0.000515e-6, 18635.928454536, 3.945345892 },
+ /* 261, 270 */
+ { 0.000486e-6, -323.505416657, 4.061673868 },
+ { 0.000662e-6, 25158.601719765, 1.794058369 },
+ { 0.000509e-6, 846.082834751, 3.053874588 },
+ { 0.000472e-6, -12569.674818332, 5.112133338 },
+ { 0.000461e-6, 6179.983075773, 0.513669325 },
+ { 0.000641e-6, 83467.156352816, 3.210727723 },
+ { 0.000520e-6, 10344.295065386, 2.445597761 },
+ { 0.000493e-6, 18422.629359098, 1.676939306 },
+ { 0.000478e-6, 1265.567478626, 5.487314569 },
+ { 0.000472e-6, -18.159247265, 1.999707589 },
+ /* 271, 280 */
+ { 0.000559e-6, 11190.377900137, 5.783236356 },
+ { 0.000494e-6, 9623.688276691, 3.022645053 },
+ { 0.000463e-6, 5739.157790895, 1.411223013 },
+ { 0.000432e-6, 16858.482532933, 1.179256434 },
+ { 0.000574e-6, 72140.628666286, 1.758191830 },
+ { 0.000484e-6, 17267.268201691, 3.290589143 },
+ { 0.000550e-6, 4907.302050146, 0.864024298 },
+ { 0.000399e-6, 14.977853527, 2.094441910 },
+ { 0.000491e-6, 224.344795702, 0.878372791 },
+ { 0.000432e-6, 20426.571092422, 6.003829241 },
+ /* 281, 290 */
+ { 0.000481e-6, 5749.452731634, 4.309591964 },
+ { 0.000480e-6, 5757.317038160, 1.142348571 },
+ { 0.000485e-6, 6702.560493867, 0.210580917 },
+ { 0.000426e-6, 6055.549660552, 4.274476529 },
+ { 0.000480e-6, 5959.570433334, 5.031351030 },
+ { 0.000466e-6, 12562.628581634, 4.959581597 },
+ { 0.000520e-6, 39302.096962196, 4.788002889 },
+ { 0.000458e-6, 12132.439962106, 1.880103788 },
+ { 0.000470e-6, 12029.347187887, 1.405611197 },
+ { 0.000416e-6, -7477.522860216, 1.082356330 },
+ /* 291, 300 */
+ { 0.000449e-6, 11609.862544012, 4.179989585 },
+ { 0.000465e-6, 17253.041107690, 0.353496295 },
+ { 0.000362e-6, -4535.059436924, 1.583849576 },
+ { 0.000383e-6, 21954.157609398, 3.747376371 },
+ { 0.000389e-6, 17.252277143, 1.395753179 },
+ { 0.000331e-6, 18052.929543158, 0.566790582 },
+ { 0.000430e-6, 13517.870106233, 0.685827538 },
+ { 0.000368e-6, -5756.908003246, 0.731374317 },
+ { 0.000330e-6, 10557.594160824, 3.710043680 },
+ { 0.000332e-6, 20199.094959633, 1.652901407 },
+ /* 301, 310 */
+ { 0.000384e-6, 11933.367960670, 5.827781531 },
+ { 0.000387e-6, 10454.501386605, 2.541182564 },
+ { 0.000325e-6, 15671.081759407, 2.178850542 },
+ { 0.000318e-6, 138.517496871, 2.253253037 },
+ { 0.000305e-6, 9388.005909415, 0.578340206 },
+ { 0.000352e-6, 5749.861766548, 3.000297967 },
+ { 0.000311e-6, 6915.859589305, 1.693574249 },
+ { 0.000297e-6, 24072.921469776, 1.997249392 },
+ { 0.000363e-6, -640.877607382, 5.071820966 },
+ { 0.000323e-6, 12592.450019783, 1.072262823 },
+ /* 311, 320 */
+ { 0.000341e-6, 12146.667056108, 4.700657997 },
+ { 0.000290e-6, 9779.108676125, 1.812320441 },
+ { 0.000342e-6, 6132.028180148, 4.322238614 },
+ { 0.000329e-6, 6268.848755990, 3.033827743 },
+ { 0.000374e-6, 17996.031168222, 3.388716544 },
+ { 0.000285e-6, -533.214083444, 4.687313233 },
+ { 0.000338e-6, 6065.844601290, 0.877776108 },
+ { 0.000276e-6, 24.298513841, 0.770299429 },
+ { 0.000336e-6, -2388.894020449, 5.353796034 },
+ { 0.000290e-6, 3097.883822726, 4.075291557 },
+ /* 321, 330 */
+ { 0.000318e-6, 709.933048357, 5.941207518 },
+ { 0.000271e-6, 13095.842665077, 3.208912203 },
+ { 0.000331e-6, 6073.708907816, 4.007881169 },
+ { 0.000292e-6, 742.990060533, 2.714333592 },
+ { 0.000362e-6, 29088.811415985, 3.215977013 },
+ { 0.000280e-6, 12359.966151546, 0.710872502 },
+ { 0.000267e-6, 10440.274292604, 4.730108488 },
+ { 0.000262e-6, 838.969287750, 1.327720272 },
+ { 0.000250e-6, 16496.361396202, 0.898769761 },
+ { 0.000325e-6, 20597.243963041, 0.180044365 },
+ /* 331, 340 */
+ { 0.000268e-6, 6148.010769956, 5.152666276 },
+ { 0.000284e-6, 5636.065016677, 5.655385808 },
+ { 0.000301e-6, 6080.822454817, 2.135396205 },
+ { 0.000294e-6, -377.373607916, 3.708784168 },
+ { 0.000236e-6, 2118.763860378, 1.733578756 },
+ { 0.000234e-6, 5867.523359379, 5.575209112 },
+ { 0.000268e-6, -226858.238553767, 0.069432392 },
+ { 0.000265e-6, 167283.761587465, 4.369302826 },
+ { 0.000280e-6, 28237.233459389, 5.304829118 },
+ { 0.000292e-6, 12345.739057544, 4.096094132 },
+ /* 341, 350 */
+ { 0.000223e-6, 19800.945956225, 3.069327406 },
+ { 0.000301e-6, 43232.306658416, 6.205311188 },
+ { 0.000264e-6, 18875.525869774, 1.417263408 },
+ { 0.000304e-6, -1823.175188677, 3.409035232 },
+ { 0.000301e-6, 109.945688789, 0.510922054 },
+ { 0.000260e-6, 813.550283960, 2.389438934 },
+ { 0.000299e-6, 316428.228673312, 5.384595078 },
+ { 0.000211e-6, 5756.566278634, 3.789392838 },
+ { 0.000209e-6, 5750.203491159, 1.661943545 },
+ { 0.000240e-6, 12489.885628707, 5.684549045 },
+ /* 351, 360 */
+ { 0.000216e-6, 6303.851245484, 3.862942261 },
+ { 0.000203e-6, 1581.959348283, 5.549853589 },
+ { 0.000200e-6, 5642.198242609, 1.016115785 },
+ { 0.000197e-6, -70.849445304, 4.690702525 },
+ { 0.000227e-6, 6287.008003254, 2.911891613 },
+ { 0.000197e-6, 533.623118358, 1.048982898 },
+ { 0.000205e-6, -6279.485421340, 1.829362730 },
+ { 0.000209e-6, -10988.808157535, 2.636140084 },
+ { 0.000208e-6, -227.526189440, 4.127883842 },
+ { 0.000191e-6, 415.552490612, 4.401165650 },
+ /* 361, 370 */
+ { 0.000190e-6, 29296.615389579, 4.175658539 },
+ { 0.000264e-6, 66567.485864652, 4.601102551 },
+ { 0.000256e-6, -3646.350377354, 0.506364778 },
+ { 0.000188e-6, 13119.721102825, 2.032195842 },
+ { 0.000185e-6, -209.366942175, 4.694756586 },
+ { 0.000198e-6, 25934.124331089, 3.832703118 },
+ { 0.000195e-6, 4061.219215394, 3.308463427 },
+ { 0.000234e-6, 5113.487598583, 1.716090661 },
+ { 0.000188e-6, 1478.866574064, 5.686865780 },
+ { 0.000222e-6, 11823.161639450, 1.942386641 },
+ /* 371, 380 */
+ { 0.000181e-6, 10770.893256262, 1.999482059 },
+ { 0.000171e-6, 6546.159773364, 1.182807992 },
+ { 0.000206e-6, 70.328180442, 5.934076062 },
+ { 0.000169e-6, 20995.392966449, 2.169080622 },
+ { 0.000191e-6, 10660.686935042, 5.405515999 },
+ { 0.000228e-6, 33019.021112205, 4.656985514 },
+ { 0.000184e-6, -4933.208440333, 3.327476868 },
+ { 0.000220e-6, -135.625325010, 1.765430262 },
+ { 0.000166e-6, 23141.558382925, 3.454132746 },
+ { 0.000191e-6, 6144.558353121, 5.020393445 },
+ /* 381, 390 */
+ { 0.000180e-6, 6084.003848555, 0.602182191 },
+ { 0.000163e-6, 17782.732072784, 4.960593133 },
+ { 0.000225e-6, 16460.333529525, 2.596451817 },
+ { 0.000222e-6, 5905.702242076, 3.731990323 },
+ { 0.000204e-6, 227.476132789, 5.636192701 },
+ { 0.000159e-6, 16737.577236597, 3.600691544 },
+ { 0.000200e-6, 6805.653268085, 0.868220961 },
+ { 0.000187e-6, 11919.140866668, 2.629456641 },
+ { 0.000161e-6, 127.471796607, 2.862574720 },
+ { 0.000205e-6, 6286.666278643, 1.742882331 },
+ /* 391, 400 */
+ { 0.000189e-6, 153.778810485, 4.812372643 },
+ { 0.000168e-6, 16723.350142595, 0.027860588 },
+ { 0.000149e-6, 11720.068865232, 0.659721876 },
+ { 0.000189e-6, 5237.921013804, 5.245313000 },
+ { 0.000143e-6, 6709.674040867, 4.317625647 },
+ { 0.000146e-6, 4487.817406270, 4.815297007 },
+ { 0.000144e-6, -664.756045130, 5.381366880 },
+ { 0.000175e-6, 5127.714692584, 4.728443327 },
+ { 0.000162e-6, 6254.626662524, 1.435132069 },
+ { 0.000187e-6, 47162.516354635, 1.354371923 },
+ /* 401, 410 */
+ { 0.000146e-6, 11080.171578918, 3.369695406 },
+ { 0.000180e-6, -348.924420448, 2.490902145 },
+ { 0.000148e-6, 151.047669843, 3.799109588 },
+ { 0.000157e-6, 6197.248551160, 1.284375887 },
+ { 0.000167e-6, 146.594251718, 0.759969109 },
+ { 0.000133e-6, -5331.357443741, 5.409701889 },
+ { 0.000154e-6, 95.979227218, 3.366890614 },
+ { 0.000148e-6, -6418.140930027, 3.384104996 },
+ { 0.000128e-6, -6525.804453965, 3.803419985 },
+ { 0.000130e-6, 11293.470674356, 0.939039445 },
+ /* 411, 420 */
+ { 0.000152e-6, -5729.506447149, 0.734117523 },
+ { 0.000138e-6, 210.117701700, 2.564216078 },
+ { 0.000123e-6, 6066.595360816, 4.517099537 },
+ { 0.000140e-6, 18451.078546566, 0.642049130 },
+ { 0.000126e-6, 11300.584221356, 3.485280663 },
+ { 0.000119e-6, 10027.903195729, 3.217431161 },
+ { 0.000151e-6, 4274.518310832, 4.404359108 },
+ { 0.000117e-6, 6072.958148291, 0.366324650 },
+ { 0.000165e-6, -7668.637425143, 4.298212528 },
+ { 0.000117e-6, -6245.048177356, 5.379518958 },
+ /* 421, 430 */
+ { 0.000130e-6, -5888.449964932, 4.527681115 },
+ { 0.000121e-6, -543.918059096, 6.109429504 },
+ { 0.000162e-6, 9683.594581116, 5.720092446 },
+ { 0.000141e-6, 6219.339951688, 0.679068671 },
+ { 0.000118e-6, 22743.409379516, 4.881123092 },
+ { 0.000129e-6, 1692.165669502, 0.351407289 },
+ { 0.000126e-6, 5657.405657679, 5.146592349 },
+ { 0.000114e-6, 728.762966531, 0.520791814 },
+ { 0.000120e-6, 52.596639600, 0.948516300 },
+ { 0.000115e-6, 65.220371012, 3.504914846 },
+ /* 431, 440 */
+ { 0.000126e-6, 5881.403728234, 5.577502482 },
+ { 0.000158e-6, 163096.180360983, 2.957128968 },
+ { 0.000134e-6, 12341.806904281, 2.598576764 },
+ { 0.000151e-6, 16627.370915377, 3.985702050 },
+ { 0.000109e-6, 1368.660252845, 0.014730471 },
+ { 0.000131e-6, 6211.263196841, 0.085077024 },
+ { 0.000146e-6, 5792.741760812, 0.708426604 },
+ { 0.000146e-6, -77.750543984, 3.121576600 },
+ { 0.000107e-6, 5341.013788022, 0.288231904 },
+ { 0.000138e-6, 6281.591377283, 2.797450317 },
+ /* 441, 450 */
+ { 0.000113e-6, -6277.552925684, 2.788904128 },
+ { 0.000115e-6, -525.758811831, 5.895222200 },
+ { 0.000138e-6, 6016.468808270, 6.096188999 },
+ { 0.000139e-6, 23539.707386333, 2.028195445 },
+ { 0.000146e-6, -4176.041342449, 4.660008502 },
+ { 0.000107e-6, 16062.184526117, 4.066520001 },
+ { 0.000142e-6, 83783.548222473, 2.936315115 },
+ { 0.000128e-6, 9380.959672717, 3.223844306 },
+ { 0.000135e-6, 6205.325306007, 1.638054048 },
+ { 0.000101e-6, 2699.734819318, 5.481603249 },
+ /* 451, 460 */
+ { 0.000104e-6, -568.821874027, 2.205734493 },
+ { 0.000103e-6, 6321.103522627, 2.440421099 },
+ { 0.000119e-6, 6321.208885629, 2.547496264 },
+ { 0.000138e-6, 1975.492545856, 2.314608466 },
+ { 0.000121e-6, 137.033024162, 4.539108237 },
+ { 0.000123e-6, 19402.796952817, 4.538074405 },
+ { 0.000119e-6, 22805.735565994, 2.869040566 },
+ { 0.000133e-6, 64471.991241142, 6.056405489 },
+ { 0.000129e-6, -85.827298831, 2.540635083 },
+ { 0.000131e-6, 13613.804277336, 4.005732868 },
+ /* 461, 470 */
+ { 0.000104e-6, 9814.604100291, 1.959967212 },
+ { 0.000112e-6, 16097.679950283, 3.589026260 },
+ { 0.000123e-6, 2107.034507542, 1.728627253 },
+ { 0.000121e-6, 36949.230808424, 6.072332087 },
+ { 0.000108e-6, -12539.853380183, 3.716133846 },
+ { 0.000113e-6, -7875.671863624, 2.725771122 },
+ { 0.000109e-6, 4171.425536614, 4.033338079 },
+ { 0.000101e-6, 6247.911759770, 3.441347021 },
+ { 0.000113e-6, 7330.728427345, 0.656372122 },
+ { 0.000113e-6, 51092.726050855, 2.791483066 },
+ /* 471, 480 */
+ { 0.000106e-6, 5621.842923210, 1.815323326 },
+ { 0.000101e-6, 111.430161497, 5.711033677 },
+ { 0.000103e-6, 909.818733055, 2.812745443 },
+ { 0.000101e-6, 1790.642637886, 1.965746028 },
+
+ /* T */
+ { 102.156724e-6, 6283.075849991, 4.249032005 },
+ { 1.706807e-6, 12566.151699983, 4.205904248 },
+ { 0.269668e-6, 213.299095438, 3.400290479 },
+ { 0.265919e-6, 529.690965095, 5.836047367 },
+ { 0.210568e-6, -3.523118349, 6.262738348 },
+ { 0.077996e-6, 5223.693919802, 4.670344204 },
+ /* 481, 490 */
+ { 0.054764e-6, 1577.343542448, 4.534800170 },
+ { 0.059146e-6, 26.298319800, 1.083044735 },
+ { 0.034420e-6, -398.149003408, 5.980077351 },
+ { 0.032088e-6, 18849.227549974, 4.162913471 },
+ { 0.033595e-6, 5507.553238667, 5.980162321 },
+ { 0.029198e-6, 5856.477659115, 0.623811863 },
+ { 0.027764e-6, 155.420399434, 3.745318113 },
+ { 0.025190e-6, 5746.271337896, 2.980330535 },
+ { 0.022997e-6, -796.298006816, 1.174411803 },
+ { 0.024976e-6, 5760.498431898, 2.467913690 },
+ /* 491, 500 */
+ { 0.021774e-6, 206.185548437, 3.854787540 },
+ { 0.017925e-6, -775.522611324, 1.092065955 },
+ { 0.013794e-6, 426.598190876, 2.699831988 },
+ { 0.013276e-6, 6062.663207553, 5.845801920 },
+ { 0.011774e-6, 12036.460734888, 2.292832062 },
+ { 0.012869e-6, 6076.890301554, 5.333425680 },
+ { 0.012152e-6, 1059.381930189, 6.222874454 },
+ { 0.011081e-6, -7.113547001, 5.154724984 },
+ { 0.010143e-6, 4694.002954708, 4.044013795 },
+ { 0.009357e-6, 5486.777843175, 3.416081409 },
+ /* 501, 510 */
+ { 0.010084e-6, 522.577418094, 0.749320262 },
+ { 0.008587e-6, 10977.078804699, 2.777152598 },
+ { 0.008628e-6, 6275.962302991, 4.562060226 },
+ { 0.008158e-6, -220.412642439, 5.806891533 },
+ { 0.007746e-6, 2544.314419883, 1.603197066 },
+ { 0.007670e-6, 2146.165416475, 3.000200440 },
+ { 0.007098e-6, 74.781598567, 0.443725817 },
+ { 0.006180e-6, -536.804512095, 1.302642751 },
+ { 0.005818e-6, 5088.628839767, 4.827723531 },
+ { 0.004945e-6, -6286.598968340, 0.268305170 },
+ /* 511, 520 */
+ { 0.004774e-6, 1349.867409659, 5.808636673 },
+ { 0.004687e-6, -242.728603974, 5.154890570 },
+ { 0.006089e-6, 1748.016413067, 4.403765209 },
+ { 0.005975e-6, -1194.447010225, 2.583472591 },
+ { 0.004229e-6, 951.718406251, 0.931172179 },
+ { 0.005264e-6, 553.569402842, 2.336107252 },
+ { 0.003049e-6, 5643.178563677, 1.362634430 },
+ { 0.002974e-6, 6812.766815086, 1.583012668 },
+ { 0.003403e-6, -2352.866153772, 2.552189886 },
+ { 0.003030e-6, 419.484643875, 5.286473844 },
+ /* 521, 530 */
+ { 0.003210e-6, -7.046236698, 1.863796539 },
+ { 0.003058e-6, 9437.762934887, 4.226420633 },
+ { 0.002589e-6, 12352.852604545, 1.991935820 },
+ { 0.002927e-6, 5216.580372801, 2.319951253 },
+ { 0.002425e-6, 5230.807466803, 3.084752833 },
+ { 0.002656e-6, 3154.687084896, 2.487447866 },
+ { 0.002445e-6, 10447.387839604, 2.347139160 },
+ { 0.002990e-6, 4690.479836359, 6.235872050 },
+ { 0.002890e-6, 5863.591206116, 0.095197563 },
+ { 0.002498e-6, 6438.496249426, 2.994779800 },
+ /* 531, 540 */
+ { 0.001889e-6, 8031.092263058, 3.569003717 },
+ { 0.002567e-6, 801.820931124, 3.425611498 },
+ { 0.001803e-6, -71430.695617928, 2.192295512 },
+ { 0.001782e-6, 3.932153263, 5.180433689 },
+ { 0.001694e-6, -4705.732307544, 4.641779174 },
+ { 0.001704e-6, -1592.596013633, 3.997097652 },
+ { 0.001735e-6, 5849.364112115, 0.417558428 },
+ { 0.001643e-6, 8429.241266467, 2.180619584 },
+ { 0.001680e-6, 38.133035638, 4.164529426 },
+ { 0.002045e-6, 7084.896781115, 0.526323854 },
+ /* 541, 550 */
+ { 0.001458e-6, 4292.330832950, 1.356098141 },
+ { 0.001437e-6, 20.355319399, 3.895439360 },
+ { 0.001738e-6, 6279.552731642, 0.087484036 },
+ { 0.001367e-6, 14143.495242431, 3.987576591 },
+ { 0.001344e-6, 7234.794256242, 0.090454338 },
+ { 0.001438e-6, 11499.656222793, 0.974387904 },
+ { 0.001257e-6, 6836.645252834, 1.509069366 },
+ { 0.001358e-6, 11513.883316794, 0.495572260 },
+ { 0.001628e-6, 7632.943259650, 4.968445721 },
+ { 0.001169e-6, 103.092774219, 2.838496795 },
+ /* 551, 560 */
+ { 0.001162e-6, 4164.311989613, 3.408387778 },
+ { 0.001092e-6, 6069.776754553, 3.617942651 },
+ { 0.001008e-6, 17789.845619785, 0.286350174 },
+ { 0.001008e-6, 639.897286314, 1.610762073 },
+ { 0.000918e-6, 10213.285546211, 5.532798067 },
+ { 0.001011e-6, -6256.777530192, 0.661826484 },
+ { 0.000753e-6, 16730.463689596, 3.905030235 },
+ { 0.000737e-6, 11926.254413669, 4.641956361 },
+ { 0.000694e-6, 3340.612426700, 2.111120332 },
+ { 0.000701e-6, 3894.181829542, 2.760823491 },
+ /* 561, 570 */
+ { 0.000689e-6, -135.065080035, 4.768800780 },
+ { 0.000700e-6, 13367.972631107, 5.760439898 },
+ { 0.000664e-6, 6040.347246017, 1.051215840 },
+ { 0.000654e-6, 5650.292110678, 4.911332503 },
+ { 0.000788e-6, 6681.224853400, 4.699648011 },
+ { 0.000628e-6, 5333.900241022, 5.024608847 },
+ { 0.000755e-6, -110.206321219, 4.370971253 },
+ { 0.000628e-6, 6290.189396992, 3.660478857 },
+ { 0.000635e-6, 25132.303399966, 4.121051532 },
+ { 0.000534e-6, 5966.683980335, 1.173284524 },
+ /* 571, 580 */
+ { 0.000543e-6, -433.711737877, 0.345585464 },
+ { 0.000517e-6, -1990.745017041, 5.414571768 },
+ { 0.000504e-6, 5767.611978898, 2.328281115 },
+ { 0.000485e-6, 5753.384884897, 1.685874771 },
+ { 0.000463e-6, 7860.419392439, 5.297703006 },
+ { 0.000604e-6, 515.463871093, 0.591998446 },
+ { 0.000443e-6, 12168.002696575, 4.830881244 },
+ { 0.000570e-6, 199.072001436, 3.899190272 },
+ { 0.000465e-6, 10969.965257698, 0.476681802 },
+ { 0.000424e-6, -7079.373856808, 1.112242763 },
+ /* 581, 590 */
+ { 0.000427e-6, 735.876513532, 1.994214480 },
+ { 0.000478e-6, -6127.655450557, 3.778025483 },
+ { 0.000414e-6, 10973.555686350, 5.441088327 },
+ { 0.000512e-6, 1589.072895284, 0.107123853 },
+ { 0.000378e-6, 10984.192351700, 0.915087231 },
+ { 0.000402e-6, 11371.704689758, 4.107281715 },
+ { 0.000453e-6, 9917.696874510, 1.917490952 },
+ { 0.000395e-6, 149.563197135, 2.763124165 },
+ { 0.000371e-6, 5739.157790895, 3.112111866 },
+ { 0.000350e-6, 11790.629088659, 0.440639857 },
+ /* 591, 600 */
+ { 0.000356e-6, 6133.512652857, 5.444568842 },
+ { 0.000344e-6, 412.371096874, 5.676832684 },
+ { 0.000383e-6, 955.599741609, 5.559734846 },
+ { 0.000333e-6, 6496.374945429, 0.261537984 },
+ { 0.000340e-6, 6055.549660552, 5.975534987 },
+ { 0.000334e-6, 1066.495477190, 2.335063907 },
+ { 0.000399e-6, 11506.769769794, 5.321230910 },
+ { 0.000314e-6, 18319.536584880, 2.313312404 },
+ { 0.000424e-6, 1052.268383188, 1.211961766 },
+ { 0.000307e-6, 63.735898303, 3.169551388 },
+ /* 601, 610 */
+ { 0.000329e-6, 29.821438149, 6.106912080 },
+ { 0.000357e-6, 6309.374169791, 4.223760346 },
+ { 0.000312e-6, -3738.761430108, 2.180556645 },
+ { 0.000301e-6, 309.278322656, 1.499984572 },
+ { 0.000268e-6, 12043.574281889, 2.447520648 },
+ { 0.000257e-6, 12491.370101415, 3.662331761 },
+ { 0.000290e-6, 625.670192312, 1.272834584 },
+ { 0.000256e-6, 5429.879468239, 1.913426912 },
+ { 0.000339e-6, 3496.032826134, 4.165930011 },
+ { 0.000283e-6, 3930.209696220, 4.325565754 },
+ /* 611, 620 */
+ { 0.000241e-6, 12528.018664345, 3.832324536 },
+ { 0.000304e-6, 4686.889407707, 1.612348468 },
+ { 0.000259e-6, 16200.772724501, 3.470173146 },
+ { 0.000238e-6, 12139.553509107, 1.147977842 },
+ { 0.000236e-6, 6172.869528772, 3.776271728 },
+ { 0.000296e-6, -7058.598461315, 0.460368852 },
+ { 0.000306e-6, 10575.406682942, 0.554749016 },
+ { 0.000251e-6, 17298.182327326, 0.834332510 },
+ { 0.000290e-6, 4732.030627343, 4.759564091 },
+ { 0.000261e-6, 5884.926846583, 0.298259862 },
+ /* 621, 630 */
+ { 0.000249e-6, 5547.199336460, 3.749366406 },
+ { 0.000213e-6, 11712.955318231, 5.415666119 },
+ { 0.000223e-6, 4701.116501708, 2.703203558 },
+ { 0.000268e-6, -640.877607382, 0.283670793 },
+ { 0.000209e-6, 5636.065016677, 1.238477199 },
+ { 0.000193e-6, 10177.257679534, 1.943251340 },
+ { 0.000182e-6, 6283.143160294, 2.456157599 },
+ { 0.000184e-6, -227.526189440, 5.888038582 },
+ { 0.000182e-6, -6283.008539689, 0.241332086 },
+ { 0.000228e-6, -6284.056171060, 2.657323816 },
+ /* 631, 640 */
+ { 0.000166e-6, 7238.675591600, 5.930629110 },
+ { 0.000167e-6, 3097.883822726, 5.570955333 },
+ { 0.000159e-6, -323.505416657, 5.786670700 },
+ { 0.000154e-6, -4136.910433516, 1.517805532 },
+ { 0.000176e-6, 12029.347187887, 3.139266834 },
+ { 0.000167e-6, 12132.439962106, 3.556352289 },
+ { 0.000153e-6, 202.253395174, 1.463313961 },
+ { 0.000157e-6, 17267.268201691, 1.586837396 },
+ { 0.000142e-6, 83996.847317911, 0.022670115 },
+ { 0.000152e-6, 17260.154654690, 0.708528947 },
+ /* 641, 650 */
+ { 0.000144e-6, 6084.003848555, 5.187075177 },
+ { 0.000135e-6, 5756.566278634, 1.993229262 },
+ { 0.000134e-6, 5750.203491159, 3.457197134 },
+ { 0.000144e-6, 5326.786694021, 6.066193291 },
+ { 0.000160e-6, 11015.106477335, 1.710431974 },
+ { 0.000133e-6, 3634.621024518, 2.836451652 },
+ { 0.000134e-6, 18073.704938650, 5.453106665 },
+ { 0.000134e-6, 1162.474704408, 5.326898811 },
+ { 0.000128e-6, 5642.198242609, 2.511652591 },
+ { 0.000160e-6, 632.783739313, 5.628785365 },
+ /* 651, 660 */
+ { 0.000132e-6, 13916.019109642, 0.819294053 },
+ { 0.000122e-6, 14314.168113050, 5.677408071 },
+ { 0.000125e-6, 12359.966151546, 5.251984735 },
+ { 0.000121e-6, 5749.452731634, 2.210924603 },
+ { 0.000136e-6, -245.831646229, 1.646502367 },
+ { 0.000120e-6, 5757.317038160, 3.240883049 },
+ { 0.000134e-6, 12146.667056108, 3.059480037 },
+ { 0.000137e-6, 6206.809778716, 1.867105418 },
+ { 0.000141e-6, 17253.041107690, 2.069217456 },
+ { 0.000129e-6, -7477.522860216, 2.781469314 },
+ /* 661, 670 */
+ { 0.000116e-6, 5540.085789459, 4.281176991 },
+ { 0.000116e-6, 9779.108676125, 3.320925381 },
+ { 0.000129e-6, 5237.921013804, 3.497704076 },
+ { 0.000113e-6, 5959.570433334, 0.983210840 },
+ { 0.000122e-6, 6282.095528923, 2.674938860 },
+ { 0.000140e-6, -11.045700264, 4.957936982 },
+ { 0.000108e-6, 23543.230504682, 1.390113589 },
+ { 0.000106e-6, -12569.674818332, 0.429631317 },
+ { 0.000110e-6, -266.607041722, 5.501340197 },
+ { 0.000115e-6, 12559.038152982, 4.691456618 },
+ /* 671, 680 */
+ { 0.000134e-6, -2388.894020449, 0.577313584 },
+ { 0.000109e-6, 10440.274292604, 6.218148717 },
+ { 0.000102e-6, -543.918059096, 1.477842615 },
+ { 0.000108e-6, 21228.392023546, 2.237753948 },
+ { 0.000101e-6, -4535.059436924, 3.100492232 },
+ { 0.000103e-6, 76.266071276, 5.594294322 },
+ { 0.000104e-6, 949.175608970, 5.674287810 },
+ { 0.000101e-6, 13517.870106233, 2.196632348 },
+ { 0.000100e-6, 11933.367960670, 4.056084160 },
+
+ /* T^2 */
+ { 4.322990e-6, 6283.075849991, 2.642893748 },
+ /* 681, 690 */
+ { 0.406495e-6, 0.000000000, 4.712388980 },
+ { 0.122605e-6, 12566.151699983, 2.438140634 },
+ { 0.019476e-6, 213.299095438, 1.642186981 },
+ { 0.016916e-6, 529.690965095, 4.510959344 },
+ { 0.013374e-6, -3.523118349, 1.502210314 },
+ { 0.008042e-6, 26.298319800, 0.478549024 },
+ { 0.007824e-6, 155.420399434, 5.254710405 },
+ { 0.004894e-6, 5746.271337896, 4.683210850 },
+ { 0.004875e-6, 5760.498431898, 0.759507698 },
+ { 0.004416e-6, 5223.693919802, 6.028853166 },
+ /* 691, 700 */
+ { 0.004088e-6, -7.113547001, 0.060926389 },
+ { 0.004433e-6, 77713.771467920, 3.627734103 },
+ { 0.003277e-6, 18849.227549974, 2.327912542 },
+ { 0.002703e-6, 6062.663207553, 1.271941729 },
+ { 0.003435e-6, -775.522611324, 0.747446224 },
+ { 0.002618e-6, 6076.890301554, 3.633715689 },
+ { 0.003146e-6, 206.185548437, 5.647874613 },
+ { 0.002544e-6, 1577.343542448, 6.232904270 },
+ { 0.002218e-6, -220.412642439, 1.309509946 },
+ { 0.002197e-6, 5856.477659115, 2.407212349 },
+ /* 701, 710 */
+ { 0.002897e-6, 5753.384884897, 5.863842246 },
+ { 0.001766e-6, 426.598190876, 0.754113147 },
+ { 0.001738e-6, -796.298006816, 2.714942671 },
+ { 0.001695e-6, 522.577418094, 2.629369842 },
+ { 0.001584e-6, 5507.553238667, 1.341138229 },
+ { 0.001503e-6, -242.728603974, 0.377699736 },
+ { 0.001552e-6, -536.804512095, 2.904684667 },
+ { 0.001370e-6, -398.149003408, 1.265599125 },
+ { 0.001889e-6, -5573.142801634, 4.413514859 },
+ { 0.001722e-6, 6069.776754553, 2.445966339 },
+ /* 711, 720 */
+ { 0.001124e-6, 1059.381930189, 5.041799657 },
+ { 0.001258e-6, 553.569402842, 3.849557278 },
+ { 0.000831e-6, 951.718406251, 2.471094709 },
+ { 0.000767e-6, 4694.002954708, 5.363125422 },
+ { 0.000756e-6, 1349.867409659, 1.046195744 },
+ { 0.000775e-6, -11.045700264, 0.245548001 },
+ { 0.000597e-6, 2146.165416475, 4.543268798 },
+ { 0.000568e-6, 5216.580372801, 4.178853144 },
+ { 0.000711e-6, 1748.016413067, 5.934271972 },
+ { 0.000499e-6, 12036.460734888, 0.624434410 },
+ /* 721, 730 */
+ { 0.000671e-6, -1194.447010225, 4.136047594 },
+ { 0.000488e-6, 5849.364112115, 2.209679987 },
+ { 0.000621e-6, 6438.496249426, 4.518860804 },
+ { 0.000495e-6, -6286.598968340, 1.868201275 },
+ { 0.000456e-6, 5230.807466803, 1.271231591 },
+ { 0.000451e-6, 5088.628839767, 0.084060889 },
+ { 0.000435e-6, 5643.178563677, 3.324456609 },
+ { 0.000387e-6, 10977.078804699, 4.052488477 },
+ { 0.000547e-6, 161000.685737473, 2.841633844 },
+ { 0.000522e-6, 3154.687084896, 2.171979966 },
+ /* 731, 740 */
+ { 0.000375e-6, 5486.777843175, 4.983027306 },
+ { 0.000421e-6, 5863.591206116, 4.546432249 },
+ { 0.000439e-6, 7084.896781115, 0.522967921 },
+ { 0.000309e-6, 2544.314419883, 3.172606705 },
+ { 0.000347e-6, 4690.479836359, 1.479586566 },
+ { 0.000317e-6, 801.820931124, 3.553088096 },
+ { 0.000262e-6, 419.484643875, 0.606635550 },
+ { 0.000248e-6, 6836.645252834, 3.014082064 },
+ { 0.000245e-6, -1592.596013633, 5.519526220 },
+ { 0.000225e-6, 4292.330832950, 2.877956536 },
+ /* 741, 750 */
+ { 0.000214e-6, 7234.794256242, 1.605227587 },
+ { 0.000205e-6, 5767.611978898, 0.625804796 },
+ { 0.000180e-6, 10447.387839604, 3.499954526 },
+ { 0.000229e-6, 199.072001436, 5.632304604 },
+ { 0.000214e-6, 639.897286314, 5.960227667 },
+ { 0.000175e-6, -433.711737877, 2.162417992 },
+ { 0.000209e-6, 515.463871093, 2.322150893 },
+ { 0.000173e-6, 6040.347246017, 2.556183691 },
+ { 0.000184e-6, 6309.374169791, 4.732296790 },
+ { 0.000227e-6, 149854.400134205, 5.385812217 },
+ /* 751, 760 */
+ { 0.000154e-6, 8031.092263058, 5.120720920 },
+ { 0.000151e-6, 5739.157790895, 4.815000443 },
+ { 0.000197e-6, 7632.943259650, 0.222827271 },
+ { 0.000197e-6, 74.781598567, 3.910456770 },
+ { 0.000138e-6, 6055.549660552, 1.397484253 },
+ { 0.000149e-6, -6127.655450557, 5.333727496 },
+ { 0.000137e-6, 3894.181829542, 4.281749907 },
+ { 0.000135e-6, 9437.762934887, 5.979971885 },
+ { 0.000139e-6, -2352.866153772, 4.715630782 },
+ { 0.000142e-6, 6812.766815086, 0.513330157 },
+ /* 761, 770 */
+ { 0.000120e-6, -4705.732307544, 0.194160689 },
+ { 0.000131e-6, -71430.695617928, 0.000379226 },
+ { 0.000124e-6, 6279.552731642, 2.122264908 },
+ { 0.000108e-6, -6256.777530192, 0.883445696 },
+
+ /* T^3 */
+ { 0.143388e-6, 6283.075849991, 1.131453581 },
+ { 0.006671e-6, 12566.151699983, 0.775148887 },
+ { 0.001480e-6, 155.420399434, 0.480016880 },
+ { 0.000934e-6, 213.299095438, 6.144453084 },
+ { 0.000795e-6, 529.690965095, 2.941595619 },
+ { 0.000673e-6, 5746.271337896, 0.120415406 },
+ /* 771, 780 */
+ { 0.000672e-6, 5760.498431898, 5.317009738 },
+ { 0.000389e-6, -220.412642439, 3.090323467 },
+ { 0.000373e-6, 6062.663207553, 3.003551964 },
+ { 0.000360e-6, 6076.890301554, 1.918913041 },
+ { 0.000316e-6, -21.340641002, 5.545798121 },
+ { 0.000315e-6, -242.728603974, 1.884932563 },
+ { 0.000278e-6, 206.185548437, 1.266254859 },
+ { 0.000238e-6, -536.804512095, 4.532664830 },
+ { 0.000185e-6, 522.577418094, 4.578313856 },
+ { 0.000245e-6, 18849.227549974, 0.587467082 },
+ /* 781, 787 */
+ { 0.000180e-6, 426.598190876, 5.151178553 },
+ { 0.000200e-6, 553.569402842, 5.355983739 },
+ { 0.000141e-6, 5223.693919802, 1.336556009 },
+ { 0.000104e-6, 5856.477659115, 4.239842759 },
+
+ /* T^4 */
+ { 0.003826e-6, 6283.075849991, 5.705257275 },
+ { 0.000303e-6, 12566.151699983, 5.407132842 },
+ { 0.000209e-6, 155.420399434, 1.989815753 }
+ };
+
+
+/* Time since J2000.0 in Julian millennia. */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJM;
+
+/* ================= */
+/* Topocentric terms */
+/* ================= */
+
+/* Convert UT to local solar time in radians. */
+ tsol = fmod(ut, 1.0) * ERFA_D2PI + elong;
+
+/* FUNDAMENTAL ARGUMENTS: Simon et al. 1994. */
+
+/* Combine time argument (millennia) with deg/arcsec factor. */
+ w = t / 3600.0;
+
+/* Sun Mean Longitude. */
+ elsun = fmod(280.46645683 + 1296027711.03429 * w, 360.0) * ERFA_DD2R;
+
+/* Sun Mean Anomaly. */
+ emsun = fmod(357.52910918 + 1295965810.481 * w, 360.0) * ERFA_DD2R;
+
+/* Mean Elongation of Moon from Sun. */
+ d = fmod(297.85019547 + 16029616012.090 * w, 360.0) * ERFA_DD2R;
+
+/* Mean Longitude of Jupiter. */
+ elj = fmod(34.35151874 + 109306899.89453 * w, 360.0) * ERFA_DD2R;
+
+/* Mean Longitude of Saturn. */
+ els = fmod(50.07744430 + 44046398.47038 * w, 360.0) * ERFA_DD2R;
+
+/* TOPOCENTRIC TERMS: Moyer 1981 and Murray 1983. */
+ wt = + 0.00029e-10 * u * sin(tsol + elsun - els)
+ + 0.00100e-10 * u * sin(tsol - 2.0 * emsun)
+ + 0.00133e-10 * u * sin(tsol - d)
+ + 0.00133e-10 * u * sin(tsol + elsun - elj)
+ - 0.00229e-10 * u * sin(tsol + 2.0 * elsun + emsun)
+ - 0.02200e-10 * v * cos(elsun + emsun)
+ + 0.05312e-10 * u * sin(tsol - emsun)
+ - 0.13677e-10 * u * sin(tsol + 2.0 * elsun)
+ - 1.31840e-10 * v * cos(elsun)
+ + 3.17679e-10 * u * sin(tsol);
+
+/* ===================== */
+/* Fairhead et al. model */
+/* ===================== */
+
+/* T**0 */
+ w0 = 0;
+ for (j = 473; j >= 0; j--) {
+ w0 += fairhd[j][0] * sin(fairhd[j][1] * t + fairhd[j][2]);
+ }
+
+/* T**1 */
+ w1 = 0;
+ for (j = 678; j >= 474; j--) {
+ w1 += fairhd[j][0] * sin(fairhd[j][1] * t + fairhd[j][2]);
+ }
+
+/* T**2 */
+ w2 = 0;
+ for (j = 763; j >= 679; j--) {
+ w2 += fairhd[j][0] * sin(fairhd[j][1] * t + fairhd[j][2]);
+ }
+
+/* T**3 */
+ w3 = 0;
+ for (j = 783; j >= 764; j--) {
+ w3 += fairhd[j][0] * sin(fairhd[j][1] * t + fairhd[j][2]);
+ }
+
+/* T**4 */
+ w4 = 0;
+ for (j = 786; j >= 784; j--) {
+ w4 += fairhd[j][0] * sin(fairhd[j][1] * t + fairhd[j][2]);
+ }
+
+/* Multiply by powers of T and combine. */
+ wf = t * (t * (t * (t * w4 + w3) + w2) + w1) + w0;
+
+/* Adjustments to use JPL planetary masses instead of IAU. */
+ wj = 0.00065e-6 * sin(6069.776754 * t + 4.021194) +
+ 0.00033e-6 * sin( 213.299095 * t + 5.543132) +
+ (-0.00196e-6 * sin(6208.294251 * t + 5.696701)) +
+ (-0.00173e-6 * sin( 74.781599 * t + 2.435900)) +
+ 0.03638e-6 * t * t;
+
+/* ============ */
+/* Final result */
+/* ============ */
+
+/* TDB-TT in seconds. */
+ w = wt + wf + wj;
+
+ return w;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/dtf2d.c b/src/detail/erfa/dtf2d.c
new file mode 100644
index 000000000..f03df71ef
--- /dev/null
+++ b/src/detail/erfa/dtf2d.c
@@ -0,0 +1,217 @@
+#include "erfa.h"
+#include "erfam.h"
+#include <string.h>
+
+int eraDtf2d(const char *scale, int iy, int im, int id,
+ int ihr, int imn, double sec, double *d1, double *d2)
+/*
+** - - - - - - - - -
+** e r a D t f 2 d
+** - - - - - - - - -
+**
+** Encode date and time fields into 2-part Julian Date (or in the case
+** of UTC a quasi-JD form that includes special provision for leap
+** seconds).
+**
+** Given:
+** scale char[] time scale ID (Note 1)
+** iy,im,id int year, month, day in Gregorian calendar (Note 2)
+** ihr,imn int hour, minute
+** sec double seconds
+**
+** Returned:
+** d1,d2 double 2-part Julian Date (Notes 3,4)
+**
+** Returned (function value):
+** int status: +3 = both of next two
+** +2 = time is after end of day (Note 5)
+** +1 = dubious year (Note 6)
+** 0 = OK
+** -1 = bad year
+** -2 = bad month
+** -3 = bad day
+** -4 = bad hour
+** -5 = bad minute
+** -6 = bad second (<0)
+**
+** Notes:
+**
+** 1) scale identifies the time scale. Only the value "UTC" (in upper
+** case) is significant, and enables handling of leap seconds (see
+** Note 4).
+**
+** 2) For calendar conventions and limitations, see eraCal2jd.
+**
+** 3) The sum of the results, d1+d2, is Julian Date, where normally d1
+** is the Julian Day Number and d2 is the fraction of a day. In the
+** case of UTC, where the use of JD is problematical, special
+** conventions apply: see the next note.
+**
+** 4) JD cannot unambiguously represent UTC during a leap second unless
+** special measures are taken. The ERFA internal convention is that
+** the quasi-JD day represents UTC days whether the length is 86399,
+** 86400 or 86401 SI seconds. In the 1960-1972 era there were
+** smaller jumps (in either direction) each time the linear UTC(TAI)
+** expression was changed, and these "mini-leaps" are also included
+** in the ERFA convention.
+**
+** 5) The warning status "time is after end of day" usually means that
+** the sec argument is greater than 60.0. However, in a day ending
+** in a leap second the limit changes to 61.0 (or 59.0 in the case
+** of a negative leap second).
+**
+** 6) The warning status "dubious year" flags UTCs that predate the
+** introduction of the time scale or that are too far in the future
+** to be trusted. See eraDat for further details.
+**
+** 7) Only in the case of continuous and regular time scales (TAI, TT,
+** TCG, TCB and TDB) is the result d1+d2 a Julian Date, strictly
+** speaking. In the other cases (UT1 and UTC) the result must be
+** used with circumspection; in particular the difference between
+** two such results cannot be interpreted as a precise time
+** interval.
+**
+** Called:
+** eraCal2jd Gregorian calendar to JD
+** eraDat delta(AT) = TAI-UTC
+** eraJd2cal JD to Gregorian calendar
+**
+** This revision: 2023 May 6
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int js, iy2, im2, id2;
+ double dj, w, day, seclim, dat0, dat12, dat24, dleap, time;
+
+
+/* Today's Julian Day Number. */
+ js = eraCal2jd(iy, im, id, &dj, &w);
+ if ( js ) return js;
+ dj += w;
+
+/* Day length and final minute length in seconds (provisional). */
+ day = ERFA_DAYSEC;
+ seclim = 60.0;
+
+/* Deal with the UTC leap second case. */
+ if ( ! strcmp(scale,"UTC") ) {
+
+ /* TAI-UTC at 0h today. */
+ js = eraDat(iy, im, id, 0.0, &dat0);
+ if ( js < 0 ) return js;
+
+ /* TAI-UTC at 12h today (to detect drift). */
+ js = eraDat(iy, im, id, 0.5, &dat12);
+ if ( js < 0 ) return js;
+
+ /* TAI-UTC at 0h tomorrow (to detect jumps). */
+ js = eraJd2cal ( dj, 1.5, &iy2, &im2, &id2, &w);
+ if ( js ) return js;
+ js = eraDat(iy2, im2, id2, 0.0, &dat24);
+ if ( js < 0 ) return js;
+
+ /* Any sudden change in TAI-UTC between today and tomorrow. */
+ dleap = dat24 - (2.0*dat12 - dat0);
+
+ /* If leap second day, correct the day and final minute lengths. */
+ day += dleap;
+ if ( ihr == 23 && imn == 59 ) seclim += dleap;
+
+ /* End of UTC-specific actions. */
+ }
+
+/* Validate the time. */
+ if ( ihr >= 0 && ihr <= 23 ) {
+ if ( imn >= 0 && imn <= 59 ) {
+ if ( sec >= 0.0 ) {
+ if ( sec >= seclim ) {
+ js += 2;
+ }
+ } else {
+ js = -6;
+ }
+ } else {
+ js = -5;
+ }
+ } else {
+ js = -4;
+ }
+ if ( js < 0 ) return js;
+
+/* The time in days. */
+ time = ( 60.0 * ( (double) ( 60 * ihr + imn ) ) + sec ) / day;
+
+/* Return the date and time. */
+ *d1 = dj;
+ *d2 = time;
+
+/* Status. */
+ return js;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/eceq06.c b/src/detail/erfa/eceq06.c
new file mode 100644
index 000000000..b66c862f1
--- /dev/null
+++ b/src/detail/erfa/eceq06.c
@@ -0,0 +1,145 @@
+#include "erfa.h"
+
+void eraEceq06(double date1, double date2, double dl, double db,
+ double *dr, double *dd)
+/*
+** - - - - - - - - - -
+** e r a E c e q 0 6
+** - - - - - - - - - -
+**
+** Transformation from ecliptic coordinates (mean equinox and ecliptic
+** of date) to ICRS RA,Dec, using the IAU 2006 precession model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian date (Note 1)
+** dl,db double ecliptic longitude and latitude (radians)
+**
+** Returned:
+** dr,dd double ICRS right ascension and declination (radians)
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) No assumptions are made about whether the coordinates represent
+** starlight and embody astrometric effects such as parallax or
+** aberration.
+**
+** 3) The transformation is approximately that from ecliptic longitude
+** and latitude (mean equinox and ecliptic of date) to mean J2000.0
+** right ascension and declination, with only frame bias (always
+** less than 25 mas) to disturb this classical picture.
+**
+** Called:
+** eraS2c spherical coordinates to unit vector
+** eraEcm06 J2000.0 to ecliptic rotation matrix, IAU 2006
+** eraTrxp product of transpose of r-matrix and p-vector
+** eraC2s unit vector to spherical coordinates
+** eraAnp normalize angle into range 0 to 2pi
+** eraAnpm normalize angle into range +/- pi
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rm[3][3], v1[3], v2[3], a, b;
+
+
+/* Spherical to Cartesian. */
+ eraS2c(dl, db, v1);
+
+/* Rotation matrix, ICRS equatorial to ecliptic. */
+ eraEcm06(date1, date2, rm);
+
+/* The transformation from ecliptic to ICRS. */
+ eraTrxp(rm, v1, v2);
+
+/* Cartesian to spherical. */
+ eraC2s(v2, &a, &b);
+
+/* Express in conventional ranges. */
+ *dr = eraAnp(a);
+ *dd = eraAnpm(b);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ecm06.c b/src/detail/erfa/ecm06.c
new file mode 100644
index 000000000..c75f18f81
--- /dev/null
+++ b/src/detail/erfa/ecm06.c
@@ -0,0 +1,148 @@
+#include "erfa.h"
+
+void eraEcm06(double date1, double date2, double rm[3][3])
+/*
+** - - - - - - - - -
+** e r a E c m 0 6
+** - - - - - - - - -
+**
+** ICRS equatorial to ecliptic rotation matrix, IAU 2006.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian date (Note 1)
+**
+** Returned:
+** rm double[3][3] ICRS to ecliptic rotation matrix
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix is in the sense
+**
+** E_ep = rm x P_ICRS,
+**
+** where P_ICRS is a vector with respect to ICRS right ascension
+** and declination axes and E_ep is the same vector with respect to
+** the (inertial) ecliptic and equinox of date.
+**
+** P_ICRS is a free vector, merely a direction, typically of unit
+** magnitude, and not bound to any particular spatial origin, such
+** as the Earth, Sun or SSB. No assumptions are made about whether
+** it represents starlight and embodies astrometric effects such as
+** parallax or aberration. The transformation is approximately that
+** between mean J2000.0 right ascension and declination and ecliptic
+** longitude and latitude, with only frame bias (always less than
+** 25 mas) to disturb this classical picture.
+**
+** Called:
+** eraObl06 mean obliquity, IAU 2006
+** eraPmat06 PB matrix, IAU 2006
+** eraIr initialize r-matrix to identity
+** eraRx rotate around X-axis
+** eraRxr product of two r-matrices
+**
+** This revision: 2023 February 26
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double ob, bp[3][3], e[3][3];
+
+
+/* Obliquity, IAU 2006. */
+ ob = eraObl06(date1, date2);
+
+/* Precession-bias matrix, IAU 2006. */
+ eraPmat06(date1, date2, bp);
+
+/* Equatorial of date to ecliptic matrix. */
+ eraIr(e);
+ eraRx(ob, e);
+
+/* ICRS to ecliptic coordinates rotation matrix, IAU 2006. */
+ eraRxr(e, bp, rm);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ee00.c b/src/detail/erfa/ee00.c
new file mode 100644
index 000000000..98aded393
--- /dev/null
+++ b/src/detail/erfa/ee00.c
@@ -0,0 +1,141 @@
+#include "erfa.h"
+
+double eraEe00(double date1, double date2, double epsa, double dpsi)
+/*
+** - - - - - - - -
+** e r a E e 0 0
+** - - - - - - - -
+**
+** The equation of the equinoxes, compatible with IAU 2000 resolutions,
+** given the nutation in longitude and the mean obliquity.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+** epsa double mean obliquity (Note 2)
+** dpsi double nutation in longitude (Note 3)
+**
+** Returned (function value):
+** double equation of the equinoxes (Note 4)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The obliquity, in radians, is mean of date.
+**
+** 3) The result, which is in radians, operates in the following sense:
+**
+** Greenwich apparent ST = GMST + equation of the equinoxes
+**
+** 4) The result is compatible with the IAU 2000 resolutions. For
+** further details, see IERS Conventions 2003 and Capitaine et al.
+** (2002).
+**
+** Called:
+** eraEect00 equation of the equinoxes complementary terms
+**
+** References:
+**
+** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to
+** implement the IAU 2000 definition of UT1", Astronomy &
+** Astrophysics, 406, 1135-1149 (2003)
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double ee;
+
+
+/* Equation of the equinoxes. */
+ ee = dpsi * cos(epsa) + eraEect00(date1, date2);
+
+ return ee;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ee00a.c b/src/detail/erfa/ee00a.c
new file mode 100644
index 000000000..790b37c66
--- /dev/null
+++ b/src/detail/erfa/ee00a.c
@@ -0,0 +1,148 @@
+#include "erfa.h"
+
+double eraEe00a(double date1, double date2)
+/*
+** - - - - - - - - -
+** e r a E e 0 0 a
+** - - - - - - - - -
+**
+** Equation of the equinoxes, compatible with IAU 2000 resolutions.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned (function value):
+** double equation of the equinoxes (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The result, which is in radians, operates in the following sense:
+**
+** Greenwich apparent ST = GMST + equation of the equinoxes
+**
+** 3) The result is compatible with the IAU 2000 resolutions. For
+** further details, see IERS Conventions 2003 and Capitaine et al.
+** (2002).
+**
+** Called:
+** eraPr00 IAU 2000 precession adjustments
+** eraObl80 mean obliquity, IAU 1980
+** eraNut00a nutation, IAU 2000A
+** eraEe00 equation of the equinoxes, IAU 2000
+**
+** References:
+**
+** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to
+** implement the IAU 2000 definition of UT1", Astronomy &
+** Astrophysics, 406, 1135-1149 (2003).
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004).
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double dpsipr, depspr, epsa, dpsi, deps, ee;
+
+
+/* IAU 2000 precession-rate adjustments. */
+ eraPr00(date1, date2, &dpsipr, &depspr);
+
+/* Mean obliquity, consistent with IAU 2000 precession-nutation. */
+ epsa = eraObl80(date1, date2) + depspr;
+
+/* Nutation in longitude. */
+ eraNut00a(date1, date2, &dpsi, &deps);
+
+/* Equation of the equinoxes. */
+ ee = eraEe00(date1, date2, epsa, dpsi);
+
+ return ee;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ee00b.c b/src/detail/erfa/ee00b.c
new file mode 100644
index 000000000..da22a3c6c
--- /dev/null
+++ b/src/detail/erfa/ee00b.c
@@ -0,0 +1,154 @@
+#include "erfa.h"
+
+double eraEe00b(double date1, double date2)
+/*
+** - - - - - - - - -
+** e r a E e 0 0 b
+** - - - - - - - - -
+**
+** Equation of the equinoxes, compatible with IAU 2000 resolutions but
+** using the truncated nutation model IAU 2000B.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned (function value):
+** double equation of the equinoxes (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The result, which is in radians, operates in the following sense:
+**
+** Greenwich apparent ST = GMST + equation of the equinoxes
+**
+** 3) The result is compatible with the IAU 2000 resolutions except
+** that accuracy has been compromised (1 mas) for the sake of speed.
+** For further details, see McCarthy & Luzum (2003), IERS
+** Conventions 2003 and Capitaine et al. (2003).
+**
+** Called:
+** eraPr00 IAU 2000 precession adjustments
+** eraObl80 mean obliquity, IAU 1980
+** eraNut00b nutation, IAU 2000B
+** eraEe00 equation of the equinoxes, IAU 2000
+**
+** References:
+**
+** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to
+** implement the IAU 2000 definition of UT1", Astronomy &
+** Astrophysics, 406, 1135-1149 (2003)
+**
+** McCarthy, D.D. & Luzum, B.J., "An abridged model of the
+** precession-nutation of the celestial pole", Celestial Mechanics &
+** Dynamical Astronomy, 85, 37-49 (2003)
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double dpsipr, depspr, epsa, dpsi, deps, ee;
+
+
+/* IAU 2000 precession-rate adjustments. */
+ eraPr00(date1, date2, &dpsipr, &depspr);
+
+/* Mean obliquity, consistent with IAU 2000 precession-nutation. */
+ epsa = eraObl80(date1, date2) + depspr;
+
+/* Nutation in longitude. */
+ eraNut00b(date1, date2, &dpsi, &deps);
+
+/* Equation of the equinoxes. */
+ ee = eraEe00(date1, date2, epsa, dpsi);
+
+ return ee;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ee06a.c b/src/detail/erfa/ee06a.c
new file mode 100644
index 000000000..d593fa33b
--- /dev/null
+++ b/src/detail/erfa/ee06a.c
@@ -0,0 +1,135 @@
+#include "erfa.h"
+
+double eraEe06a(double date1, double date2)
+/*
+** - - - - - - - - -
+** e r a E e 0 6 a
+** - - - - - - - - -
+**
+** Equation of the equinoxes, compatible with IAU 2000 resolutions and
+** IAU 2006/2000A precession-nutation.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned (function value):
+** double equation of the equinoxes (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The result, which is in radians, operates in the following sense:
+**
+** Greenwich apparent ST = GMST + equation of the equinoxes
+**
+** Called:
+** eraAnpm normalize angle into range +/- pi
+** eraGst06a Greenwich apparent sidereal time, IAU 2006/2000A
+** eraGmst06 Greenwich mean sidereal time, IAU 2006
+**
+** Reference:
+**
+** McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double gst06a, gmst06, ee;
+
+
+/* Apparent and mean sidereal times. */
+ gst06a = eraGst06a(0.0, 0.0, date1, date2);
+ gmst06 = eraGmst06(0.0, 0.0, date1, date2);
+
+/* Equation of the equinoxes. */
+ ee = eraAnpm(gst06a - gmst06);
+
+ return ee;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/eect00.c b/src/detail/erfa/eect00.c
new file mode 100644
index 000000000..8a6a46b76
--- /dev/null
+++ b/src/detail/erfa/eect00.c
@@ -0,0 +1,296 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraEect00(double date1, double date2)
+/*
+** - - - - - - - - - -
+** e r a E e c t 0 0
+** - - - - - - - - - -
+**
+** Equation of the equinoxes complementary terms, consistent with
+** IAU 2000 resolutions.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned (function value):
+** double complementary terms (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The "complementary terms" are part of the equation of the
+** equinoxes (EE), classically the difference between apparent and
+** mean Sidereal Time:
+**
+** GAST = GMST + EE
+**
+** with:
+**
+** EE = dpsi * cos(eps)
+**
+** where dpsi is the nutation in longitude and eps is the obliquity
+** of date. However, if the rotation of the Earth were constant in
+** an inertial frame the classical formulation would lead to
+** apparent irregularities in the UT1 timescale traceable to side-
+** effects of precession-nutation. In order to eliminate these
+** effects from UT1, "complementary terms" were introduced in 1994
+** (IAU, 1994) and took effect from 1997 (Capitaine and Gontier,
+** 1993):
+**
+** GAST = GMST + CT + EE
+**
+** By convention, the complementary terms are included as part of
+** the equation of the equinoxes rather than as part of the mean
+** Sidereal Time. This slightly compromises the "geometrical"
+** interpretation of mean sidereal time but is otherwise
+** inconsequential.
+**
+** The present function computes CT in the above expression,
+** compatible with IAU 2000 resolutions (Capitaine et al., 2002, and
+** IERS Conventions 2003).
+**
+** Called:
+** eraFal03 mean anomaly of the Moon
+** eraFalp03 mean anomaly of the Sun
+** eraFaf03 mean argument of the latitude of the Moon
+** eraFad03 mean elongation of the Moon from the Sun
+** eraFaom03 mean longitude of the Moon's ascending node
+** eraFave03 mean longitude of Venus
+** eraFae03 mean longitude of Earth
+** eraFapa03 general accumulated precession in longitude
+**
+** References:
+**
+** Capitaine, N. & Gontier, A.-M., Astron.Astrophys., 275,
+** 645-650 (1993)
+**
+** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to
+** implement the IAU 2000 definition of UT1", Astron.Astrophys., 406,
+** 1135-1149 (2003)
+**
+** IAU Resolution C7, Recommendation 3 (1994)
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Time since J2000.0, in Julian centuries */
+ double t;
+
+/* Miscellaneous */
+ int i, j;
+ double a, s0, s1;
+
+/* Fundamental arguments */
+ double fa[14];
+
+/* Returned value. */
+ double eect;
+
+/* ----------------------------------------- */
+/* The series for the EE complementary terms */
+/* ----------------------------------------- */
+
+ typedef struct {
+ int nfa[8]; /* coefficients of l,l',F,D,Om,LVe,LE,pA */
+ double s, c; /* sine and cosine coefficients */
+ } TERM;
+
+/* Terms of order t^0 */
+ static const TERM e0[] = {
+
+ /* 1-10 */
+ {{ 0, 0, 0, 0, 1, 0, 0, 0}, 2640.96e-6, -0.39e-6 },
+ {{ 0, 0, 0, 0, 2, 0, 0, 0}, 63.52e-6, -0.02e-6 },
+ {{ 0, 0, 2, -2, 3, 0, 0, 0}, 11.75e-6, 0.01e-6 },
+ {{ 0, 0, 2, -2, 1, 0, 0, 0}, 11.21e-6, 0.01e-6 },
+ {{ 0, 0, 2, -2, 2, 0, 0, 0}, -4.55e-6, 0.00e-6 },
+ {{ 0, 0, 2, 0, 3, 0, 0, 0}, 2.02e-6, 0.00e-6 },
+ {{ 0, 0, 2, 0, 1, 0, 0, 0}, 1.98e-6, 0.00e-6 },
+ {{ 0, 0, 0, 0, 3, 0, 0, 0}, -1.72e-6, 0.00e-6 },
+ {{ 0, 1, 0, 0, 1, 0, 0, 0}, -1.41e-6, -0.01e-6 },
+ {{ 0, 1, 0, 0, -1, 0, 0, 0}, -1.26e-6, -0.01e-6 },
+
+ /* 11-20 */
+ {{ 1, 0, 0, 0, -1, 0, 0, 0}, -0.63e-6, 0.00e-6 },
+ {{ 1, 0, 0, 0, 1, 0, 0, 0}, -0.63e-6, 0.00e-6 },
+ {{ 0, 1, 2, -2, 3, 0, 0, 0}, 0.46e-6, 0.00e-6 },
+ {{ 0, 1, 2, -2, 1, 0, 0, 0}, 0.45e-6, 0.00e-6 },
+ {{ 0, 0, 4, -4, 4, 0, 0, 0}, 0.36e-6, 0.00e-6 },
+ {{ 0, 0, 1, -1, 1, -8, 12, 0}, -0.24e-6, -0.12e-6 },
+ {{ 0, 0, 2, 0, 0, 0, 0, 0}, 0.32e-6, 0.00e-6 },
+ {{ 0, 0, 2, 0, 2, 0, 0, 0}, 0.28e-6, 0.00e-6 },
+ {{ 1, 0, 2, 0, 3, 0, 0, 0}, 0.27e-6, 0.00e-6 },
+ {{ 1, 0, 2, 0, 1, 0, 0, 0}, 0.26e-6, 0.00e-6 },
+
+ /* 21-30 */
+ {{ 0, 0, 2, -2, 0, 0, 0, 0}, -0.21e-6, 0.00e-6 },
+ {{ 0, 1, -2, 2, -3, 0, 0, 0}, 0.19e-6, 0.00e-6 },
+ {{ 0, 1, -2, 2, -1, 0, 0, 0}, 0.18e-6, 0.00e-6 },
+ {{ 0, 0, 0, 0, 0, 8,-13, -1}, -0.10e-6, 0.05e-6 },
+ {{ 0, 0, 0, 2, 0, 0, 0, 0}, 0.15e-6, 0.00e-6 },
+ {{ 2, 0, -2, 0, -1, 0, 0, 0}, -0.14e-6, 0.00e-6 },
+ {{ 1, 0, 0, -2, 1, 0, 0, 0}, 0.14e-6, 0.00e-6 },
+ {{ 0, 1, 2, -2, 2, 0, 0, 0}, -0.14e-6, 0.00e-6 },
+ {{ 1, 0, 0, -2, -1, 0, 0, 0}, 0.14e-6, 0.00e-6 },
+ {{ 0, 0, 4, -2, 4, 0, 0, 0}, 0.13e-6, 0.00e-6 },
+
+ /* 31-33 */
+ {{ 0, 0, 2, -2, 4, 0, 0, 0}, -0.11e-6, 0.00e-6 },
+ {{ 1, 0, -2, 0, -3, 0, 0, 0}, 0.11e-6, 0.00e-6 },
+ {{ 1, 0, -2, 0, -1, 0, 0, 0}, 0.11e-6, 0.00e-6 }
+ };
+
+/* Terms of order t^1 */
+ static const TERM e1[] = {
+ {{ 0, 0, 0, 0, 1, 0, 0, 0}, -0.87e-6, 0.00e-6 }
+ };
+
+/* Number of terms in the series */
+ const int NE0 = (int) (sizeof e0 / sizeof (TERM));
+ const int NE1 = (int) (sizeof e1 / sizeof (TERM));
+
+/* ------------------------------------------------------------------ */
+
+/* Interval between fundamental epoch J2000.0 and current date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* Fundamental Arguments (from IERS Conventions 2003) */
+
+/* Mean anomaly of the Moon. */
+ fa[0] = eraFal03(t);
+
+/* Mean anomaly of the Sun. */
+ fa[1] = eraFalp03(t);
+
+/* Mean longitude of the Moon minus that of the ascending node. */
+ fa[2] = eraFaf03(t);
+
+/* Mean elongation of the Moon from the Sun. */
+ fa[3] = eraFad03(t);
+
+/* Mean longitude of the ascending node of the Moon. */
+ fa[4] = eraFaom03(t);
+
+/* Mean longitude of Venus. */
+ fa[5] = eraFave03(t);
+
+/* Mean longitude of Earth. */
+ fa[6] = eraFae03(t);
+
+/* General precession in longitude. */
+ fa[7] = eraFapa03(t);
+
+/* Evaluate the EE complementary terms. */
+ s0 = 0.0;
+ s1 = 0.0;
+
+ for (i = NE0-1; i >= 0; i--) {
+ a = 0.0;
+ for (j = 0; j < 8; j++) {
+ a += (double)(e0[i].nfa[j]) * fa[j];
+ }
+ s0 += e0[i].s * sin(a) + e0[i].c * cos(a);
+ }
+
+ for (i = NE1-1; i >= 0; i--) {
+ a = 0.0;
+ for (j = 0; j < 8; j++) {
+ a += (double)(e1[i].nfa[j]) * fa[j];
+ }
+ s1 += e1[i].s * sin(a) + e1[i].c * cos(a);
+ }
+
+ eect = (s0 + s1 * t ) * ERFA_DAS2R;
+
+ return eect;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/eform.c b/src/detail/erfa/eform.c
new file mode 100644
index 000000000..9f5e35917
--- /dev/null
+++ b/src/detail/erfa/eform.c
@@ -0,0 +1,160 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraEform ( int n, double *a, double *f )
+/*
+** - - - - - - - - -
+** e r a E f o r m
+** - - - - - - - - -
+**
+** Earth reference ellipsoids.
+**
+** Given:
+** n int ellipsoid identifier (Note 1)
+**
+** Returned:
+** a double equatorial radius (meters, Note 2)
+** f double flattening (Note 2)
+**
+** Returned (function value):
+** int status: 0 = OK
+** -1 = illegal identifier (Note 3)
+**
+** Notes:
+**
+** 1) The identifier n is a number that specifies the choice of
+** reference ellipsoid. The following are supported:
+**
+** n ellipsoid
+**
+** 1 ERFA_WGS84
+** 2 ERFA_GRS80
+** 3 ERFA_WGS72
+**
+** The n value has no significance outside the ERFA software. For
+** convenience, symbols ERFA_WGS84 etc. are defined in erfam.h.
+**
+** 2) The ellipsoid parameters are returned in the form of equatorial
+** radius in meters (a) and flattening (f). The latter is a number
+** around 0.00335, i.e. around 1/298.
+**
+** 3) For the case where an unsupported n value is supplied, zero a and
+** f are returned, as well as error status.
+**
+** References:
+**
+** Department of Defense World Geodetic System 1984, National
+** Imagery and Mapping Agency Technical Report 8350.2, Third
+** Edition, p3-2.
+**
+** Moritz, H., Bull. Geodesique 66-2, 187 (1992).
+**
+** The Department of Defense World Geodetic System 1972, World
+** Geodetic System Committee, May 1974.
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992),
+** p220.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+
+/* Look up a and f for the specified reference ellipsoid. */
+ switch ( n ) {
+
+ case ERFA_WGS84:
+ *a = 6378137.0;
+ *f = 1.0 / 298.257223563;
+ break;
+
+ case ERFA_GRS80:
+ *a = 6378137.0;
+ *f = 1.0 / 298.257222101;
+ break;
+
+ case ERFA_WGS72:
+ *a = 6378135.0;
+ *f = 1.0 / 298.26;
+ break;
+
+ default:
+
+ /* Invalid identifier. */
+ *a = 0.0;
+ *f = 0.0;
+ return -1;
+
+ }
+
+/* OK status. */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/eo06a.c b/src/detail/erfa/eo06a.c
new file mode 100644
index 000000000..6fb9502e3
--- /dev/null
+++ b/src/detail/erfa/eo06a.c
@@ -0,0 +1,144 @@
+#include "erfa.h"
+
+double eraEo06a(double date1, double date2)
+/*
+** - - - - - - - - -
+** e r a E o 0 6 a
+** - - - - - - - - -
+**
+** Equation of the origins, IAU 2006 precession and IAU 2000A nutation.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned (function value):
+** double the equation of the origins in radians
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The equation of the origins is the distance between the true
+** equinox and the celestial intermediate origin and, equivalently,
+** the difference between Earth rotation angle and Greenwich
+** apparent sidereal time (ERA-GST). It comprises the precession
+** (since J2000.0) in right ascension plus the equation of the
+** equinoxes (including the small correction terms).
+**
+** Called:
+** eraPnm06a classical NPB matrix, IAU 2006/2000A
+** eraBpn2xy extract CIP X,Y coordinates from NPB matrix
+** eraS06 the CIO locator s, given X,Y, IAU 2006
+** eraEors equation of the origins, given NPB matrix and s
+**
+** References:
+**
+** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855
+**
+** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double r[3][3], x, y, s, eo;
+
+
+/* Classical nutation x precession x bias matrix. */
+ eraPnm06a(date1, date2, r);
+
+/* Extract CIP coordinates. */
+ eraBpn2xy(r, &x, &y);
+
+/* The CIO locator, s. */
+ s = eraS06(date1, date2, x, y);
+
+/* Solve for the EO. */
+ eo = eraEors(r, s);
+
+ return eo;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/eors.c b/src/detail/erfa/eors.c
new file mode 100644
index 000000000..9d53e792c
--- /dev/null
+++ b/src/detail/erfa/eors.c
@@ -0,0 +1,121 @@
+#include "erfa.h"
+
+double eraEors(double rnpb[3][3], double s)
+/*
+** - - - - - - - -
+** e r a E o r s
+** - - - - - - - -
+**
+** Equation of the origins, given the classical NPB matrix and the
+** quantity s.
+**
+** Given:
+** rnpb double[3][3] classical nutation x precession x bias matrix
+** s double the quantity s (the CIO locator) in radians
+**
+** Returned (function value):
+** double the equation of the origins in radians
+**
+** Notes:
+**
+** 1) The equation of the origins is the distance between the true
+** equinox and the celestial intermediate origin and, equivalently,
+** the difference between Earth rotation angle and Greenwich
+** apparent sidereal time (ERA-GST). It comprises the precession
+** (since J2000.0) in right ascension plus the equation of the
+** equinoxes (including the small correction terms).
+**
+** 2) The algorithm is from Wallace & Capitaine (2006).
+**
+** References:
+**
+** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855
+**
+** Wallace, P. & Capitaine, N., 2006, Astron.Astrophys. 459, 981
+**
+** This revision: 2023 May 6
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double x, ax, xs, ys, zs, p, q, eo;
+
+
+/* Evaluate Wallace & Capitaine (2006) expression (16). */
+ x = rnpb[2][0];
+ ax = x / (1.0 + rnpb[2][2]);
+ xs = 1.0 - ax * x;
+ ys = -ax * rnpb[2][1];
+ zs = -x;
+ p = rnpb[0][0] * xs + rnpb[0][1] * ys + rnpb[0][2] * zs;
+ q = rnpb[1][0] * xs + rnpb[1][1] * ys + rnpb[1][2] * zs;
+ eo = ((p != 0.0) || (q != 0.0)) ? s - atan2(q, p) : s;
+
+ return eo;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/epb.c b/src/detail/erfa/epb.c
new file mode 100644
index 000000000..a4a787d97
--- /dev/null
+++ b/src/detail/erfa/epb.c
@@ -0,0 +1,119 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraEpb(double dj1, double dj2)
+/*
+** - - - - - - -
+** e r a E p b
+** - - - - - - -
+**
+** Julian Date to Besselian Epoch.
+**
+** Given:
+** dj1,dj2 double Julian Date (Notes 3,4)
+**
+** Returned (function value):
+** double Besselian Epoch.
+**
+** Notes:
+**
+** 1) Besselian Epoch is a method of expressing a moment in time as a
+** year plus fraction. It was superseded by Julian Year (see the
+** function eraEpj).
+**
+** 2) The start of a Besselian year is when the right ascension of
+** the fictitious mean Sun is 18h 40m, and the unit is the tropical
+** year. The conventional definition (see Lieske 1979) is that
+** Besselian Epoch B1900.0 is JD 2415020.31352 and the length of the
+** year is 365.242198781 days.
+**
+** 3) The time scale for the JD, originally Ephemeris Time, is TDB,
+** which for all practical purposes in the present context is
+** indistinguishable from TT.
+**
+** 4) The Julian Date is supplied in two pieces, in the usual ERFA
+** manner, which is designed to preserve time resolution. The
+** Julian Date is available as a single number by adding dj1 and
+** dj2. The maximum resolution is achieved if dj1 is 2451545.0
+** (J2000.0).
+**
+** Reference:
+**
+** Lieske, J.H., 1979. Astron.Astrophys., 73, 282.
+**
+** This revision: 2023 May 5
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* J2000.0-B1900.0 (2415019.81352) in days */
+ const double D1900 = 36524.68648;
+
+ return 1900.0 + ((dj1 - ERFA_DJ00) + (dj2 + D1900)) / ERFA_DTY;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/epb2jd.c b/src/detail/erfa/epb2jd.c
new file mode 100644
index 000000000..4703df28a
--- /dev/null
+++ b/src/detail/erfa/epb2jd.c
@@ -0,0 +1,103 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraEpb2jd(double epb, double *djm0, double *djm)
+/*
+** - - - - - - - - - -
+** e r a E p b 2 j d
+** - - - - - - - - - -
+**
+** Besselian Epoch to Julian Date.
+**
+** Given:
+** epb double Besselian Epoch (e.g. 1957.3)
+**
+** Returned:
+** djm0 double MJD zero-point: always 2400000.5
+** djm double Modified Julian Date
+**
+** Note:
+**
+** The Julian Date is returned in two pieces, in the usual ERFA
+** manner, which is designed to preserve time resolution. The
+** Julian Date is available as a single number by adding djm0 and
+** djm.
+**
+** Reference:
+**
+** Lieske, J.H., 1979, Astron.Astrophys. 73, 282.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ *djm0 = ERFA_DJM0;
+ *djm = 15019.81352 + (epb - 1900.0) * ERFA_DTY;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/epj.c b/src/detail/erfa/epj.c
new file mode 100644
index 000000000..5732b7fde
--- /dev/null
+++ b/src/detail/erfa/epj.c
@@ -0,0 +1,121 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraEpj(double dj1, double dj2)
+/*
+** - - - - - - -
+** e r a E p j
+** - - - - - - -
+**
+** Julian Date to Julian Epoch.
+**
+** Given:
+** dj1,dj2 double Julian Date (Note 4)
+**
+** Returned (function value):
+** double Julian Epoch
+**
+** Notes:
+**
+** 1) Julian Epoch is a method of expressing a moment in time as a
+** year plus fraction.
+**
+** 2) Julian Epoch J2000.0 is 2000 Jan 1.5, and the length of the year
+** is 365.25 days.
+**
+** 3) For historical reasons, the time scale formally associated with
+** Julian Epoch is TDB (or TT, near enough). However, Julian Epoch
+** can be used more generally as a calendrical convention to
+** represent other time scales such as TAI and TCB. This is
+** analogous to Julian Date, which was originally defined
+** specifically as a way of representing Universal Times but is now
+** routinely used for any of the regular time scales.
+**
+** 4) The Julian Date is supplied in two pieces, in the usual ERFA
+** manner, which is designed to preserve time resolution. The
+** Julian Date is available as a single number by adding dj1 and
+** dj2. The maximum resolution is achieved if dj1 is 2451545.0
+** (J2000.0).
+**
+** Reference:
+**
+** Lieske, J.H., 1979, Astron.Astrophys. 73, 282.
+**
+** This revision: 2022 May 6
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double epj;
+
+
+ epj = 2000.0 + ((dj1 - ERFA_DJ00) + dj2) / ERFA_DJY;
+
+ return epj;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/epj2jd.c b/src/detail/erfa/epj2jd.c
new file mode 100644
index 000000000..bdcf968d6
--- /dev/null
+++ b/src/detail/erfa/epj2jd.c
@@ -0,0 +1,103 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraEpj2jd(double epj, double *djm0, double *djm)
+/*
+** - - - - - - - - - -
+** e r a E p j 2 j d
+** - - - - - - - - - -
+**
+** Julian Epoch to Julian Date.
+**
+** Given:
+** epj double Julian Epoch (e.g. 1996.8)
+**
+** Returned:
+** djm0 double MJD zero-point: always 2400000.5
+** djm double Modified Julian Date
+**
+** Note:
+**
+** The Julian Date is returned in two pieces, in the usual ERFA
+** manner, which is designed to preserve time resolution. The
+** Julian Date is available as a single number by adding djm0 and
+** djm.
+**
+** Reference:
+**
+** Lieske, J.H., 1979, Astron.Astrophys. 73, 282.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ *djm0 = ERFA_DJM0;
+ *djm = ERFA_DJM00 + (epj - 2000.0) * 365.25;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/epv00.c b/src/detail/erfa/epv00.c
new file mode 100644
index 000000000..ce67261b2
--- /dev/null
+++ b/src/detail/erfa/epv00.c
@@ -0,0 +1,2603 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraEpv00(double date1, double date2,
+ double pvh[2][3], double pvb[2][3])
+/*
+** - - - - - - - - -
+** e r a E p v 0 0
+** - - - - - - - - -
+**
+** Earth position and velocity, heliocentric and barycentric, with
+** respect to the Barycentric Celestial Reference System.
+**
+** Given:
+** date1,date2 double TDB date (Note 1)
+**
+** Returned:
+** pvh double[2][3] heliocentric Earth position/velocity
+** pvb double[2][3] barycentric Earth position/velocity
+**
+** Returned (function value):
+** int status: 0 = OK
+** +1 = warning: date outside
+** the range 1900-2100 AD
+**
+** Notes:
+**
+** 1) The TDB date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TDB)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** resolution. The MJD method and the date & time methods are both
+** good compromises between resolution and convenience. However,
+** the accuracy of the result is more likely to be limited by the
+** algorithm itself than the way the date has been expressed.
+**
+** n.b. TT can be used instead of TDB in most applications.
+**
+** 2) On return, the arrays pvh and pvb contain the following:
+**
+** pvh[0][0] x }
+** pvh[0][1] y } heliocentric position, au
+** pvh[0][2] z }
+**
+** pvh[1][0] xdot }
+** pvh[1][1] ydot } heliocentric velocity, au/d
+** pvh[1][2] zdot }
+**
+** pvb[0][0] x }
+** pvb[0][1] y } barycentric position, au
+** pvb[0][2] z }
+**
+** pvb[1][0] xdot }
+** pvb[1][1] ydot } barycentric velocity, au/d
+** pvb[1][2] zdot }
+**
+** The vectors are oriented with respect to the BCRS. The time unit
+** is one day in TDB.
+**
+** 3) The function is a SIMPLIFIED SOLUTION from the planetary theory
+** VSOP2000 (X. Moisson, P. Bretagnon, 2001, Celes. Mechanics &
+** Dyn. Astron., 80, 3/4, 205-213) and is an adaptation of original
+** Fortran code supplied by P. Bretagnon (private comm., 2000).
+**
+** 4) Comparisons over the time span 1900-2100 with this simplified
+** solution and the JPL DE405 ephemeris give the following results:
+**
+** RMS max
+** Heliocentric:
+** position error 3.7 11.2 km
+** velocity error 1.4 5.0 mm/s
+**
+** Barycentric:
+** position error 4.6 13.4 km
+** velocity error 1.4 4.9 mm/s
+**
+** Comparisons with the JPL DE406 ephemeris show that by 1800 and
+** 2200 the position errors are approximately double their 1900-2100
+** size. By 1500 and 2500 the deterioration is a factor of 10 and
+** by 1000 and 3000 a factor of 60. The velocity accuracy falls off
+** at about half that rate.
+**
+** 5) It is permissible to use the same array for pvh and pvb, which
+** will receive the barycentric values.
+**
+** This revision: 2023 March 1
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/*
+** Matrix elements for orienting the analytical model to DE405.
+**
+** The corresponding Euler angles are:
+**
+** d ' "
+** 1st rotation - 23 26 21.4091 about the x-axis (obliquity)
+** 2nd rotation + 0.0475 about the z-axis (RA offset)
+**
+** These were obtained empirically, by comparisons with DE405 over
+** 1900-2100.
+*/
+ static const double am12 = 0.000000211284,
+ am13 = -0.000000091603,
+ am21 = -0.000000230286,
+ am22 = 0.917482137087,
+ am23 = -0.397776982902,
+ am32 = 0.397776982902,
+ am33 = 0.917482137087;
+
+/*
+** ----------------------
+** Ephemeris Coefficients
+** ----------------------
+**
+** The ephemeris consists of harmonic terms for predicting (i) the Sun
+** to Earth vector and (ii) the Solar-System-barycenter to Sun vector
+** respectively. The coefficients are stored in arrays which, although
+** 1-demensional, contain groups of three. Each triplet of
+** coefficients is the amplitude, phase and frequency for one term in
+** the model, and each array contains the number of terms called for by
+** the model.
+**
+** There are eighteen such arrays, named as follows:
+**
+** array model power of T component
+**
+** e0x Sun-to-Earth 0 x
+** e0y Sun-to-Earth 0 y
+** e0z Sun-to-Earth 0 z
+**
+** e1x Sun-to-Earth 1 x
+** e1y Sun-to-Earth 1 y
+** e1z Sun-to-Earth 1 z
+**
+** e2x Sun-to-Earth 2 x
+** e2y Sun-to-Earth 2 y
+** e2z Sun-to-Earth 2 z
+**
+** s0x SSB-to-Sun 0 x
+** s0y SSB-to-Sun 0 y
+** s0z SSB-to-Sun 0 z
+**
+** s1x SSB-to-Sun 1 x
+** s1y SSB-to-Sun 1 y
+** s1z SSB-to-Sun 1 z
+**
+** s2x SSB-to-Sun 2 x
+** s2y SSB-to-Sun 2 y
+** s2z SSB-to-Sun 2 z
+*/
+
+/* Sun-to-Earth, T^0, X */
+ static const double e0x[] = {
+ 0.9998292878132e+00, 0.1753485171504e+01, 0.6283075850446e+01,
+ 0.8352579567414e-02, 0.1710344404582e+01, 0.1256615170089e+02,
+ 0.5611445335148e-02, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.1046664295572e-03, 0.1667225416770e+01, 0.1884922755134e+02,
+ 0.3110842534677e-04, 0.6687513390251e+00, 0.8399684731857e+02,
+ 0.2552413503550e-04, 0.5830637358413e+00, 0.5296909721118e+00,
+ 0.2137207845781e-04, 0.1092330954011e+01, 0.1577343543434e+01,
+ 0.1680240182951e-04, 0.4955366134987e+00, 0.6279552690824e+01,
+ 0.1679012370795e-04, 0.6153014091901e+01, 0.6286599010068e+01,
+ 0.1445526946777e-04, 0.3472744100492e+01, 0.2352866153506e+01,
+
+ 0.1091038246184e-04, 0.3689845786119e+01, 0.5223693906222e+01,
+ 0.9344399733932e-05, 0.6073934645672e+01, 0.1203646072878e+02,
+ 0.8993182910652e-05, 0.3175705249069e+01, 0.1021328554739e+02,
+ 0.5665546034116e-05, 0.2152484672246e+01, 0.1059381944224e+01,
+ 0.6844146703035e-05, 0.1306964099750e+01, 0.5753384878334e+01,
+ 0.7346610905565e-05, 0.4354980070466e+01, 0.3981490189893e+00,
+ 0.6815396474414e-05, 0.2218229211267e+01, 0.4705732307012e+01,
+ 0.6112787253053e-05, 0.5384788425458e+01, 0.6812766822558e+01,
+ 0.4518120711239e-05, 0.6087604012291e+01, 0.5884926831456e+01,
+ 0.4521963430706e-05, 0.1279424524906e+01, 0.6256777527156e+01,
+
+ 0.4497426764085e-05, 0.5369129144266e+01, 0.6309374173736e+01,
+ 0.4062190566959e-05, 0.5436473303367e+00, 0.6681224869435e+01,
+ 0.5412193480192e-05, 0.7867838528395e+00, 0.7755226100720e+00,
+ 0.5469839049386e-05, 0.1461440311134e+01, 0.1414349524433e+02,
+ 0.5205264083477e-05, 0.4432944696116e+01, 0.7860419393880e+01,
+ 0.2149759935455e-05, 0.4502237496846e+01, 0.1150676975667e+02,
+ 0.2279109618501e-05, 0.1239441308815e+01, 0.7058598460518e+01,
+ 0.2259282939683e-05, 0.3272430985331e+01, 0.4694002934110e+01,
+ 0.2558950271319e-05, 0.2265471086404e+01, 0.1216800268190e+02,
+ 0.2561581447555e-05, 0.1454740653245e+01, 0.7099330490126e+00,
+
+ 0.1781441115440e-05, 0.2962068630206e+01, 0.7962980379786e+00,
+ 0.1612005874644e-05, 0.1473255041006e+01, 0.5486777812467e+01,
+ 0.1818630667105e-05, 0.3743903293447e+00, 0.6283008715021e+01,
+ 0.1818601377529e-05, 0.6274174354554e+01, 0.6283142985870e+01,
+ 0.1554475925257e-05, 0.1624110906816e+01, 0.2513230340178e+02,
+ 0.2090948029241e-05, 0.5852052276256e+01, 0.1179062909082e+02,
+ 0.2000176345460e-05, 0.4072093298513e+01, 0.1778984560711e+02,
+ 0.1289535917759e-05, 0.5217019331069e+01, 0.7079373888424e+01,
+ 0.1281135307881e-05, 0.4802054538934e+01, 0.3738761453707e+01,
+ 0.1518229005692e-05, 0.8691914742502e+00, 0.2132990797783e+00,
+
+ 0.9450128579027e-06, 0.4601859529950e+01, 0.1097707878456e+02,
+ 0.7781119494996e-06, 0.1844352816694e+01, 0.8827390247185e+01,
+ 0.7733407759912e-06, 0.3582790154750e+01, 0.5507553240374e+01,
+ 0.7350644318120e-06, 0.2695277788230e+01, 0.1589072916335e+01,
+ 0.6535928827023e-06, 0.3651327986142e+01, 0.1176985366291e+02,
+ 0.6324624183656e-06, 0.2241302375862e+01, 0.6262300422539e+01,
+ 0.6298565300557e-06, 0.4407122406081e+01, 0.6303851278352e+01,
+ 0.8587037089179e-06, 0.3024307223119e+01, 0.1672837615881e+03,
+ 0.8299954491035e-06, 0.6192539428237e+01, 0.3340612434717e+01,
+ 0.6311263503401e-06, 0.2014758795416e+01, 0.7113454667900e-02,
+
+ 0.6005646745452e-06, 0.3399500503397e+01, 0.4136910472696e+01,
+ 0.7917715109929e-06, 0.2493386877837e+01, 0.6069776770667e+01,
+ 0.7556958099685e-06, 0.4159491740143e+01, 0.6496374930224e+01,
+ 0.6773228244949e-06, 0.4034162934230e+01, 0.9437762937313e+01,
+ 0.5370708577847e-06, 0.1562219163734e+01, 0.1194447056968e+01,
+ 0.5710804266203e-06, 0.2662730803386e+01, 0.6282095334605e+01,
+ 0.5709824583726e-06, 0.3985828430833e+01, 0.6284056366286e+01,
+ 0.5143950896447e-06, 0.1308144688689e+01, 0.6290189305114e+01,
+ 0.5088010604546e-06, 0.5352817214804e+01, 0.6275962395778e+01,
+ 0.4960369085172e-06, 0.2644267922349e+01, 0.6127655567643e+01,
+
+ 0.4803137891183e-06, 0.4008844192080e+01, 0.6438496133249e+01,
+ 0.5731747768225e-06, 0.3794550174597e+01, 0.3154687086868e+01,
+ 0.4735947960579e-06, 0.6107118308982e+01, 0.3128388763578e+01,
+ 0.4808348796625e-06, 0.4771458618163e+01, 0.8018209333619e+00,
+ 0.4115073743137e-06, 0.3327111335159e+01, 0.8429241228195e+01,
+ 0.5230575889287e-06, 0.5305708551694e+01, 0.1336797263425e+02,
+ 0.5133977889215e-06, 0.5784230738814e+01, 0.1235285262111e+02,
+ 0.5065815825327e-06, 0.2052064793679e+01, 0.1185621865188e+02,
+ 0.4339831593868e-06, 0.3644994195830e+01, 0.1726015463500e+02,
+ 0.3952928638953e-06, 0.4930376436758e+01, 0.5481254917084e+01,
+
+ 0.4898498111942e-06, 0.4542084219731e+00, 0.9225539266174e+01,
+ 0.4757490209328e-06, 0.3161126388878e+01, 0.5856477690889e+01,
+ 0.4727701669749e-06, 0.6214993845446e+00, 0.2544314396739e+01,
+ 0.3800966681863e-06, 0.3040132339297e+01, 0.4265981595566e+00,
+ 0.3257301077939e-06, 0.8064977360087e+00, 0.3930209696940e+01,
+ 0.3255810528674e-06, 0.1974147981034e+01, 0.2146165377750e+01,
+ 0.3252029748187e-06, 0.2845924913135e+01, 0.4164311961999e+01,
+ 0.3255505635308e-06, 0.3017900824120e+01, 0.5088628793478e+01,
+ 0.2801345211990e-06, 0.6109717793179e+01, 0.1256967486051e+02,
+ 0.3688987740970e-06, 0.2911550235289e+01, 0.1807370494127e+02,
+
+ 0.2475153429458e-06, 0.2179146025856e+01, 0.2629832328990e-01,
+ 0.3033457749150e-06, 0.1994161050744e+01, 0.4535059491685e+01,
+ 0.2186743763110e-06, 0.5125687237936e+01, 0.1137170464392e+02,
+ 0.2764777032774e-06, 0.4822646860252e+00, 0.1256262854127e+02,
+ 0.2199028768592e-06, 0.4637633293831e+01, 0.1255903824622e+02,
+ 0.2046482824760e-06, 0.1467038733093e+01, 0.7084896783808e+01,
+ 0.2611209147507e-06, 0.3044718783485e+00, 0.7143069561767e+02,
+ 0.2286079656818e-06, 0.4764220356805e+01, 0.8031092209206e+01,
+ 0.1855071202587e-06, 0.3383637774428e+01, 0.1748016358760e+01,
+ 0.2324669506784e-06, 0.6189088449251e+01, 0.1831953657923e+02,
+
+ 0.1709528015688e-06, 0.5874966729774e+00, 0.4933208510675e+01,
+ 0.2168156875828e-06, 0.4302994009132e+01, 0.1044738781244e+02,
+ 0.2106675556535e-06, 0.3800475419891e+01, 0.7477522907414e+01,
+ 0.1430213830465e-06, 0.1294660846502e+01, 0.2942463415728e+01,
+ 0.1388396901944e-06, 0.4594797202114e+01, 0.8635942003952e+01,
+ 0.1922258844190e-06, 0.4943044543591e+00, 0.1729818233119e+02,
+ 0.1888460058292e-06, 0.2426943912028e+01, 0.1561374759853e+03,
+ 0.1789449386107e-06, 0.1582973303499e+00, 0.1592596075957e+01,
+ 0.1360803685374e-06, 0.5197240440504e+01, 0.1309584267300e+02,
+ 0.1504038014709e-06, 0.3120360916217e+01, 0.1649636139783e+02,
+
+ 0.1382769533389e-06, 0.6164702888205e+01, 0.7632943190217e+01,
+ 0.1438059769079e-06, 0.1437423770979e+01, 0.2042657109477e+02,
+ 0.1326303260037e-06, 0.3609688799679e+01, 0.1213955354133e+02,
+ 0.1159244950540e-06, 0.5463018167225e+01, 0.5331357529664e+01,
+ 0.1433118149136e-06, 0.6028909912097e+01, 0.7342457794669e+01,
+ 0.1234623148594e-06, 0.3109645574997e+01, 0.6279485555400e+01,
+ 0.1233949875344e-06, 0.3539359332866e+01, 0.6286666145492e+01,
+ 0.9927196061299e-07, 0.1259321569772e+01, 0.7234794171227e+01,
+ 0.1242302191316e-06, 0.1065949392609e+01, 0.1511046609763e+02,
+ 0.1098402195201e-06, 0.2192508743837e+01, 0.1098880815746e+02,
+
+ 0.1158191395315e-06, 0.4054411278650e+01, 0.5729506548653e+01,
+ 0.9048475596241e-07, 0.5429764748518e+01, 0.9623688285163e+01,
+ 0.8889853269023e-07, 0.5046586206575e+01, 0.6148010737701e+01,
+ 0.1048694242164e-06, 0.2628858030806e+01, 0.6836645152238e+01,
+ 0.1112308378646e-06, 0.4177292719907e+01, 0.1572083878776e+02,
+ 0.8631729709901e-07, 0.1601345232557e+01, 0.6418140963190e+01,
+ 0.8527816951664e-07, 0.2463888997513e+01, 0.1471231707864e+02,
+ 0.7892139456991e-07, 0.3154022088718e+01, 0.2118763888447e+01,
+ 0.1051782905236e-06, 0.4795035816088e+01, 0.1349867339771e+01,
+ 0.1048219943164e-06, 0.2952983395230e+01, 0.5999216516294e+01,
+
+ 0.7435760775143e-07, 0.5420547991464e+01, 0.6040347114260e+01,
+ 0.9869574106949e-07, 0.3695646753667e+01, 0.6566935184597e+01,
+ 0.9156886364226e-07, 0.3922675306609e+01, 0.5643178611111e+01,
+ 0.7006834356188e-07, 0.1233968624861e+01, 0.6525804586632e+01,
+ 0.9806170182601e-07, 0.1919542280684e+01, 0.2122839202813e+02,
+ 0.9052289673607e-07, 0.4615902724369e+01, 0.4690479774488e+01,
+ 0.7554200867893e-07, 0.1236863719072e+01, 0.1253985337760e+02,
+ 0.8215741286498e-07, 0.3286800101559e+00, 0.1097355562493e+02,
+ 0.7185178575397e-07, 0.5880942158367e+01, 0.6245048154254e+01,
+ 0.7130726476180e-07, 0.7674871987661e+00, 0.6321103546637e+01,
+
+ 0.6650894461162e-07, 0.6987129150116e+00, 0.5327476111629e+01,
+ 0.7396888823688e-07, 0.3576824794443e+01, 0.5368044267797e+00,
+ 0.7420588884775e-07, 0.5033615245369e+01, 0.2354323048545e+02,
+ 0.6141181642908e-07, 0.9449927045673e+00, 0.1296430071988e+02,
+ 0.6373557924058e-07, 0.6206342280341e+01, 0.9517183207817e+00,
+ 0.6359474329261e-07, 0.5036079095757e+01, 0.1990745094947e+01,
+ 0.5740173582646e-07, 0.6105106371350e+01, 0.9555997388169e+00,
+ 0.7019864084602e-07, 0.7237747359018e+00, 0.5225775174439e+00,
+ 0.6398054487042e-07, 0.3976367969666e+01, 0.2407292145756e+02,
+ 0.7797092650498e-07, 0.4305423910623e+01, 0.2200391463820e+02,
+
+ 0.6466760000900e-07, 0.3500136825200e+01, 0.5230807360890e+01,
+ 0.7529417043890e-07, 0.3514779246100e+01, 0.1842262939178e+02,
+ 0.6924571140892e-07, 0.2743457928679e+01, 0.1554202828031e+00,
+ 0.6220798650222e-07, 0.2242598118209e+01, 0.1845107853235e+02,
+ 0.5870209391853e-07, 0.2332832707527e+01, 0.6398972393349e+00,
+ 0.6263953473888e-07, 0.2191105358956e+01, 0.6277552955062e+01,
+ 0.6257781390012e-07, 0.4457559396698e+01, 0.6288598745829e+01,
+ 0.5697304945123e-07, 0.3499234761404e+01, 0.1551045220144e+01,
+ 0.6335438746791e-07, 0.6441691079251e+00, 0.5216580451554e+01,
+ 0.6377258441152e-07, 0.2252599151092e+01, 0.5650292065779e+01,
+
+ 0.6484841818165e-07, 0.1992812417646e+01, 0.1030928125552e+00,
+ 0.4735551485250e-07, 0.3744672082942e+01, 0.1431416805965e+02,
+ 0.4628595996170e-07, 0.1334226211745e+01, 0.5535693017924e+00,
+ 0.6258152336933e-07, 0.4395836159154e+01, 0.2608790314060e+02,
+ 0.6196171366594e-07, 0.2587043007997e+01, 0.8467247584405e+02,
+ 0.6159556952126e-07, 0.4782499769128e+01, 0.2394243902548e+03,
+ 0.4987741172394e-07, 0.7312257619924e+00, 0.7771377146812e+02,
+ 0.5459280703142e-07, 0.3001376372532e+01, 0.6179983037890e+01,
+ 0.4863461189999e-07, 0.3767222128541e+01, 0.9027992316901e+02,
+ 0.5349912093158e-07, 0.3663594450273e+01, 0.6386168663001e+01,
+
+ 0.5673725607806e-07, 0.4331187919049e+01, 0.6915859635113e+01,
+ 0.4745485060512e-07, 0.5816195745518e+01, 0.6282970628506e+01,
+ 0.4745379005326e-07, 0.8323672435672e+00, 0.6283181072386e+01,
+ 0.4049002796321e-07, 0.3785023976293e+01, 0.6254626709878e+01,
+ 0.4247084014515e-07, 0.2378220728783e+01, 0.7875671926403e+01,
+ 0.4026912363055e-07, 0.2864103423269e+01, 0.6311524991013e+01,
+ 0.4062935011774e-07, 0.2415408595975e+01, 0.3634620989887e+01,
+ 0.5347771048509e-07, 0.3343479309801e+01, 0.2515860172507e+02,
+ 0.4829494136505e-07, 0.2821742398262e+01, 0.5760498333002e+01,
+ 0.4342554404599e-07, 0.5624662458712e+01, 0.7238675589263e+01,
+
+ 0.4021599184361e-07, 0.5557250275009e+00, 0.1101510648075e+02,
+ 0.4104900474558e-07, 0.3296691780005e+01, 0.6709674010002e+01,
+ 0.4376532905131e-07, 0.3814443999443e+01, 0.6805653367890e+01,
+ 0.3314590480650e-07, 0.3560229189250e+01, 0.1259245002418e+02,
+ 0.3232421839643e-07, 0.5185389180568e+01, 0.1066495398892e+01,
+ 0.3541176318876e-07, 0.3921381909679e+01, 0.9917696840332e+01,
+ 0.3689831242681e-07, 0.4190658955386e+01, 0.1192625446156e+02,
+ 0.3890605376774e-07, 0.5546023371097e+01, 0.7478166569050e-01,
+ 0.3038559339780e-07, 0.6231032794494e+01, 0.1256621883632e+02,
+ 0.3137083969782e-07, 0.6207063419190e+01, 0.4292330755499e+01,
+
+ 0.4024004081854e-07, 0.1195257375713e+01, 0.1334167431096e+02,
+ 0.3300234879283e-07, 0.1804694240998e+01, 0.1057540660594e+02,
+ 0.3635399155575e-07, 0.5597811343500e+01, 0.6208294184755e+01,
+ 0.3032668691356e-07, 0.3191059366530e+01, 0.1805292951336e+02,
+ 0.2809652069058e-07, 0.4094348032570e+01, 0.3523159621801e-02,
+ 0.3696955383823e-07, 0.5219282738794e+01, 0.5966683958112e+01,
+ 0.3562894142503e-07, 0.1037247544554e+01, 0.6357857516136e+01,
+ 0.3510598524148e-07, 0.1430020816116e+01, 0.6599467742779e+01,
+ 0.3617736142953e-07, 0.3002911403677e+01, 0.6019991944201e+01,
+ 0.2624524910730e-07, 0.2437046757292e+01, 0.6702560555334e+01,
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+ 0.4099438144212e-08, 0.4173244670532e+01, 0.4480965020977e+02,
+ 0.2899531858964e-08, 0.5910601428850e+01, 0.2059724391010e+02,
+ 0.3289733429855e-08, 0.2488050078239e+01, 0.1081813534213e+02,
+ 0.3933075612875e-08, 0.1122363652883e+01, 0.3773735910827e+00,
+ 0.3021403764467e-08, 0.4951973724904e+01, 0.2982630633589e+02,
+ 0.2798598949757e-08, 0.5117057845513e+01, 0.1937891852345e+02,
+ 0.3397421302707e-08, 0.6104159180476e+01, 0.6923953605621e+01,
+
+ 0.3720398002179e-08, 0.1184933429829e+01, 0.3066615496545e+02,
+ 0.3598484186267e-08, 0.3505282086105e+01, 0.6147450479709e+01,
+ 0.3694594027310e-08, 0.2286651088141e+01, 0.2636725487657e+01,
+ 0.2680444152969e-08, 0.1871816775482e+00, 0.6816289982179e+01,
+ 0.3497574865641e-08, 0.3143251755431e+01, 0.6418701221183e+01,
+ 0.3130274129494e-08, 0.2462167316018e+01, 0.1235996607578e+02,
+ 0.3241119069551e-08, 0.4256374004686e+01, 0.1652265972112e+02,
+ 0.2601960842061e-08, 0.4970362941425e+01, 0.1045450126711e+02,
+ 0.2690601527504e-08, 0.2372657824898e+01, 0.3163918923335e+00,
+ 0.2908688152664e-08, 0.4232652627721e+01, 0.2828699048865e+02,
+
+ 0.3120456131875e-08, 0.3925747001137e+00, 0.2195415756911e+02,
+ 0.3148855423384e-08, 0.3093478330445e+01, 0.1172006883645e+02,
+ 0.3051044261017e-08, 0.5560948248212e+01, 0.6055599646783e+01,
+ 0.2826006876660e-08, 0.5072790310072e+01, 0.5120601093667e+01,
+ 0.3100034191711e-08, 0.4998530231096e+01, 0.1799603123222e+02,
+ 0.2398771640101e-08, 0.2561739802176e+01, 0.6255674361143e+01,
+ 0.2384002842728e-08, 0.4087420284111e+01, 0.6310477339748e+01,
+ 0.2842146517568e-08, 0.2515048217955e+01, 0.5469525544182e+01,
+ 0.2847674371340e-08, 0.5235326497443e+01, 0.1034429499989e+02,
+ 0.2903722140764e-08, 0.1088200795797e+01, 0.6510552054109e+01,
+
+ 0.3187610710605e-08, 0.4710624424816e+01, 0.1693792562116e+03,
+ 0.3048869992813e-08, 0.2857975896445e+00, 0.8390110365991e+01,
+ 0.2860216950984e-08, 0.2241619020815e+01, 0.2243449970715e+00,
+ 0.2701117683113e-08, 0.6651573305272e-01, 0.6129297044991e+01,
+ 0.2509891590152e-08, 0.1285135324585e+01, 0.1044027435778e+02,
+ 0.2623200252223e-08, 0.2981229834530e+00, 0.6436854655901e+01,
+ 0.2622541669202e-08, 0.6122470726189e+01, 0.9380959548977e+01,
+ 0.2818435667099e-08, 0.4251087148947e+01, 0.5934151399930e+01,
+ 0.2365196797465e-08, 0.3465070460790e+01, 0.2470570524223e+02,
+ 0.2358704646143e-08, 0.5791603815350e+01, 0.8671969964381e+01,
+
+ 0.2388299481390e-08, 0.4142483772941e+01, 0.7096626156709e+01,
+ 0.1996041217224e-08, 0.2101901889496e+01, 0.1727188400790e+02,
+ 0.2687593060336e-08, 0.1526689456959e+01, 0.7075506709219e+02,
+ 0.2618913670810e-08, 0.2397684236095e+01, 0.6632000300961e+01,
+ 0.2571523050364e-08, 0.5751929456787e+00, 0.6206810014183e+01,
+ 0.2582135006946e-08, 0.5595464352926e+01, 0.4873985990671e+02,
+ 0.2372530190361e-08, 0.5092689490655e+01, 0.1590676413561e+02,
+ 0.2357178484712e-08, 0.4444363527851e+01, 0.3097883698531e+01,
+ 0.2451590394723e-08, 0.3108251687661e+01, 0.6612329252343e+00,
+ 0.2370045949608e-08, 0.2608133861079e+01, 0.3459636466239e+02,
+
+ 0.2268997267358e-08, 0.3639717753384e+01, 0.2844914056730e-01,
+ 0.1731432137906e-08, 0.1741898445707e+00, 0.2019909489111e+02,
+ 0.1629869741622e-08, 0.3902225646724e+01, 0.3035599730800e+02,
+ 0.2206215801974e-08, 0.4971131250731e+01, 0.6281667977667e+01,
+ 0.2205469554680e-08, 0.1677462357110e+01, 0.6284483723224e+01,
+ 0.2148792362509e-08, 0.4236259604006e+01, 0.1980482729015e+02,
+ 0.1873733657847e-08, 0.5926814998687e+01, 0.2876692439167e+02,
+ 0.2026573758959e-08, 0.4349643351962e+01, 0.2449240616245e+02,
+ 0.1807770325110e-08, 0.5700940482701e+01, 0.2045286941806e+02,
+ 0.1881174408581e-08, 0.6601286363430e+00, 0.2358125818164e+02,
+
+ 0.1368023671690e-08, 0.2211098592752e+01, 0.2473415438279e+02,
+ 0.1720017916280e-08, 0.4942488551129e+01, 0.1679593901136e+03,
+ 0.1702427665131e-08, 0.1452233856386e+01, 0.3338575901272e+03,
+ 0.1414032510054e-08, 0.5525357721439e+01, 0.1624205518357e+03,
+ 0.1652626045364e-08, 0.4108794283624e+01, 0.8956999012000e+02,
+ 0.1642957769686e-08, 0.7344335209984e+00, 0.5267006960365e+02,
+ 0.1614952403624e-08, 0.3541213951363e+01, 0.3332657872986e+02,
+ 0.1535988291188e-08, 0.4031094072151e+01, 0.3852657435933e+02,
+ 0.1593193738177e-08, 0.4185136203609e+01, 0.2282781046519e+03,
+ 0.1074569126382e-08, 0.1720485636868e+01, 0.8397383534231e+02,
+
+ 0.1074408214509e-08, 0.2758613420318e+01, 0.8401985929482e+02,
+ 0.9700199670465e-09, 0.4216686842097e+01, 0.7826370942180e+02,
+ 0.1258433517061e-08, 0.2575068876639e+00, 0.3115650189215e+03,
+ 0.1240303229539e-08, 0.4800844956756e+00, 0.1784300471910e+03,
+ 0.9018345948127e-09, 0.3896756361552e+00, 0.5886454391678e+02,
+ 0.1135301432805e-08, 0.3700805023550e+00, 0.7842370451713e+02,
+ 0.9215887951370e-09, 0.4364579276638e+01, 0.1014262087719e+03,
+ 0.1055401054147e-08, 0.2156564222111e+01, 0.5660027930059e+02,
+ 0.1008725979831e-08, 0.5454015785234e+01, 0.4245678405627e+02,
+ 0.7217398104321e-09, 0.1597772562175e+01, 0.2457074661053e+03,
+
+ 0.6912033134447e-09, 0.5824090621461e+01, 0.1679936946371e+03,
+ 0.6833881523549e-09, 0.3578778482835e+01, 0.6053048899753e+02,
+ 0.4887304205142e-09, 0.3724362812423e+01, 0.9656299901946e+02,
+ 0.5173709754788e-09, 0.5422427507933e+01, 0.2442876000072e+03,
+ 0.4671353097145e-09, 0.2396106924439e+01, 0.1435713242844e+03,
+ 0.5652608439480e-09, 0.2804028838685e+01, 0.8365903305582e+02,
+ 0.5604061331253e-09, 0.1638816006247e+01, 0.8433466158131e+02,
+ 0.4712723365400e-09, 0.8979003224474e+00, 0.3164282286739e+03,
+ 0.4909967465112e-09, 0.3210426725516e+01, 0.4059982187939e+03,
+ 0.4771358267658e-09, 0.5308027211629e+01, 0.1805255418145e+03,
+
+ 0.3943451445989e-09, 0.2195145341074e+01, 0.2568537517081e+03,
+ 0.3952109120244e-09, 0.5081189491586e+01, 0.2449975330562e+03,
+ 0.3788134594789e-09, 0.4345171264441e+01, 0.1568131045107e+03,
+ 0.3738330190479e-09, 0.2613062847997e+01, 0.3948519331910e+03,
+ 0.3099866678136e-09, 0.2846760817689e+01, 0.1547176098872e+03,
+ 0.2002962716768e-09, 0.4921360989412e+01, 0.2268582385539e+03,
+ 0.2198291338754e-09, 0.1130360117454e+00, 0.1658638954901e+03,
+ 0.1491958330784e-09, 0.4228195232278e+01, 0.2219950288015e+03,
+ 0.1475384076173e-09, 0.3005721811604e+00, 0.3052819430710e+03,
+ 0.1661626624624e-09, 0.7830125621203e+00, 0.2526661704812e+03,
+
+ 0.9015823460025e-10, 0.3807792942715e+01, 0.4171445043968e+03 };
+
+/* Sun-to-Earth, T^0, Y */
+ static const double e0y[] = {
+ 0.9998921098898e+00, 0.1826583913846e+00, 0.6283075850446e+01,
+ -0.2442700893735e-01, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.8352929742915e-02, 0.1395277998680e+00, 0.1256615170089e+02,
+ 0.1046697300177e-03, 0.9641423109763e-01, 0.1884922755134e+02,
+ 0.3110841876663e-04, 0.5381140401712e+01, 0.8399684731857e+02,
+ 0.2570269094593e-04, 0.5301016407128e+01, 0.5296909721118e+00,
+ 0.2147389623610e-04, 0.2662510869850e+01, 0.1577343543434e+01,
+ 0.1680344384050e-04, 0.5207904119704e+01, 0.6279552690824e+01,
+ 0.1679117312193e-04, 0.4582187486968e+01, 0.6286599010068e+01,
+ 0.1440512068440e-04, 0.1900688517726e+01, 0.2352866153506e+01,
+
+ 0.1135139664999e-04, 0.5273108538556e+01, 0.5223693906222e+01,
+ 0.9345482571018e-05, 0.4503047687738e+01, 0.1203646072878e+02,
+ 0.9007418719568e-05, 0.1605621059637e+01, 0.1021328554739e+02,
+ 0.5671536712314e-05, 0.5812849070861e+00, 0.1059381944224e+01,
+ 0.7451401861666e-05, 0.2807346794836e+01, 0.3981490189893e+00,
+ 0.6393470057114e-05, 0.6029224133855e+01, 0.5753384878334e+01,
+ 0.6814275881697e-05, 0.6472990145974e+00, 0.4705732307012e+01,
+ 0.6113705628887e-05, 0.3813843419700e+01, 0.6812766822558e+01,
+ 0.4503851367273e-05, 0.4527804370996e+01, 0.5884926831456e+01,
+ 0.4522249141926e-05, 0.5991783029224e+01, 0.6256777527156e+01,
+
+ 0.4501794307018e-05, 0.3798703844397e+01, 0.6309374173736e+01,
+ 0.5514927480180e-05, 0.3961257833388e+01, 0.5507553240374e+01,
+ 0.4062862799995e-05, 0.5256247296369e+01, 0.6681224869435e+01,
+ 0.5414900429712e-05, 0.5499032014097e+01, 0.7755226100720e+00,
+ 0.5463153987424e-05, 0.6173092454097e+01, 0.1414349524433e+02,
+ 0.5071611859329e-05, 0.2870244247651e+01, 0.7860419393880e+01,
+ 0.2195112094455e-05, 0.2952338617201e+01, 0.1150676975667e+02,
+ 0.2279139233919e-05, 0.5951775132933e+01, 0.7058598460518e+01,
+ 0.2278386100876e-05, 0.4845456398785e+01, 0.4694002934110e+01,
+ 0.2559088003308e-05, 0.6945321117311e+00, 0.1216800268190e+02,
+
+ 0.2561079286856e-05, 0.6167224608301e+01, 0.7099330490126e+00,
+ 0.1792755796387e-05, 0.1400122509632e+01, 0.7962980379786e+00,
+ 0.1818715656502e-05, 0.4703347611830e+01, 0.6283142985870e+01,
+ 0.1818744924791e-05, 0.5086748900237e+01, 0.6283008715021e+01,
+ 0.1554518791390e-05, 0.5331008042713e-01, 0.2513230340178e+02,
+ 0.2063265737239e-05, 0.4283680484178e+01, 0.1179062909082e+02,
+ 0.1497613520041e-05, 0.6074207826073e+01, 0.5486777812467e+01,
+ 0.2000617940427e-05, 0.2501426281450e+01, 0.1778984560711e+02,
+ 0.1289731195580e-05, 0.3646340599536e+01, 0.7079373888424e+01,
+ 0.1282657998934e-05, 0.3232864804902e+01, 0.3738761453707e+01,
+
+ 0.1528915968658e-05, 0.5581433416669e+01, 0.2132990797783e+00,
+ 0.1187304098432e-05, 0.5453576453694e+01, 0.9437762937313e+01,
+ 0.7842782928118e-06, 0.2823953922273e+00, 0.8827390247185e+01,
+ 0.7352892280868e-06, 0.1124369580175e+01, 0.1589072916335e+01,
+ 0.6570189360797e-06, 0.2089154042840e+01, 0.1176985366291e+02,
+ 0.6324967590410e-06, 0.6704855581230e+00, 0.6262300422539e+01,
+ 0.6298289872283e-06, 0.2836414855840e+01, 0.6303851278352e+01,
+ 0.6476686465855e-06, 0.4852433866467e+00, 0.7113454667900e-02,
+ 0.8587034651234e-06, 0.1453511005668e+01, 0.1672837615881e+03,
+ 0.8068948788113e-06, 0.9224087798609e+00, 0.6069776770667e+01,
+
+ 0.8353786011661e-06, 0.4631707184895e+01, 0.3340612434717e+01,
+ 0.6009324532132e-06, 0.1829498827726e+01, 0.4136910472696e+01,
+ 0.7558158559566e-06, 0.2588596800317e+01, 0.6496374930224e+01,
+ 0.5809279504503e-06, 0.5516818853476e+00, 0.1097707878456e+02,
+ 0.5374131950254e-06, 0.6275674734960e+01, 0.1194447056968e+01,
+ 0.5711160507326e-06, 0.1091905956872e+01, 0.6282095334605e+01,
+ 0.5710183170746e-06, 0.2415001635090e+01, 0.6284056366286e+01,
+ 0.5144373590610e-06, 0.6020336443438e+01, 0.6290189305114e+01,
+ 0.5103108927267e-06, 0.3775634564605e+01, 0.6275962395778e+01,
+ 0.4960654697891e-06, 0.1073450946756e+01, 0.6127655567643e+01,
+
+ 0.4786385689280e-06, 0.2431178012310e+01, 0.6438496133249e+01,
+ 0.6109911263665e-06, 0.5343356157914e+01, 0.3154687086868e+01,
+ 0.4839898944024e-06, 0.5830833594047e-01, 0.8018209333619e+00,
+ 0.4734822623919e-06, 0.4536080134821e+01, 0.3128388763578e+01,
+ 0.4834741473290e-06, 0.2585090489754e+00, 0.7084896783808e+01,
+ 0.5134858581156e-06, 0.4213317172603e+01, 0.1235285262111e+02,
+ 0.5064004264978e-06, 0.4814418806478e+00, 0.1185621865188e+02,
+ 0.3753476772761e-06, 0.1599953399788e+01, 0.8429241228195e+01,
+ 0.4935264014283e-06, 0.2157417556873e+01, 0.2544314396739e+01,
+ 0.3950929600897e-06, 0.3359394184254e+01, 0.5481254917084e+01,
+
+ 0.4895849789777e-06, 0.5165704376558e+01, 0.9225539266174e+01,
+ 0.4215241688886e-06, 0.2065368800993e+01, 0.1726015463500e+02,
+ 0.3796773731132e-06, 0.1468606346612e+01, 0.4265981595566e+00,
+ 0.3114178142515e-06, 0.3615638079474e+01, 0.2146165377750e+01,
+ 0.3260664220838e-06, 0.4417134922435e+01, 0.4164311961999e+01,
+ 0.3976996123008e-06, 0.4700866883004e+01, 0.5856477690889e+01,
+ 0.2801459672924e-06, 0.4538902060922e+01, 0.1256967486051e+02,
+ 0.3638931868861e-06, 0.1334197991475e+01, 0.1807370494127e+02,
+ 0.2487013269476e-06, 0.3749275558275e+01, 0.2629832328990e-01,
+ 0.3034165481994e-06, 0.4236622030873e+00, 0.4535059491685e+01,
+
+ 0.2676278825586e-06, 0.5970848007811e+01, 0.3930209696940e+01,
+ 0.2764903818918e-06, 0.5194636754501e+01, 0.1256262854127e+02,
+ 0.2485149930507e-06, 0.1002434207846e+01, 0.5088628793478e+01,
+ 0.2199305540941e-06, 0.3066773098403e+01, 0.1255903824622e+02,
+ 0.2571106500435e-06, 0.7588312459063e+00, 0.1336797263425e+02,
+ 0.2049751817158e-06, 0.3444977434856e+01, 0.1137170464392e+02,
+ 0.2599707296297e-06, 0.1873128542205e+01, 0.7143069561767e+02,
+ 0.1785018072217e-06, 0.5015891306615e+01, 0.1748016358760e+01,
+ 0.2324833891115e-06, 0.4618271239730e+01, 0.1831953657923e+02,
+ 0.1709711119545e-06, 0.5300003455669e+01, 0.4933208510675e+01,
+
+ 0.2107159351716e-06, 0.2229819815115e+01, 0.7477522907414e+01,
+ 0.1750333080295e-06, 0.6161485880008e+01, 0.1044738781244e+02,
+ 0.2000598210339e-06, 0.2967357299999e+01, 0.8031092209206e+01,
+ 0.1380920248681e-06, 0.3027007923917e+01, 0.8635942003952e+01,
+ 0.1412460470299e-06, 0.6037597163798e+01, 0.2942463415728e+01,
+ 0.1888459803001e-06, 0.8561476243374e+00, 0.1561374759853e+03,
+ 0.1788370542585e-06, 0.4869736290209e+01, 0.1592596075957e+01,
+ 0.1360893296167e-06, 0.3626411886436e+01, 0.1309584267300e+02,
+ 0.1506846530160e-06, 0.1550975377427e+01, 0.1649636139783e+02,
+ 0.1800913376176e-06, 0.2075826033190e+01, 0.1729818233119e+02,
+
+ 0.1436261390649e-06, 0.6148876420255e+01, 0.2042657109477e+02,
+ 0.1220227114151e-06, 0.4382583879906e+01, 0.7632943190217e+01,
+ 0.1337883603592e-06, 0.2036644327361e+01, 0.1213955354133e+02,
+ 0.1159326650738e-06, 0.3892276994687e+01, 0.5331357529664e+01,
+ 0.1352853128569e-06, 0.1447950649744e+01, 0.1673046366289e+02,
+ 0.1433408296083e-06, 0.4457854692961e+01, 0.7342457794669e+01,
+ 0.1234701666518e-06, 0.1538818147151e+01, 0.6279485555400e+01,
+ 0.1234027192007e-06, 0.1968523220760e+01, 0.6286666145492e+01,
+ 0.1244024091797e-06, 0.5779803499985e+01, 0.1511046609763e+02,
+ 0.1097934945516e-06, 0.6210975221388e+00, 0.1098880815746e+02,
+
+ 0.1254611329856e-06, 0.2591963807998e+01, 0.1572083878776e+02,
+ 0.1158247286784e-06, 0.2483612812670e+01, 0.5729506548653e+01,
+ 0.9039078252960e-07, 0.3857554579796e+01, 0.9623688285163e+01,
+ 0.9108024978836e-07, 0.5826368512984e+01, 0.7234794171227e+01,
+ 0.8887068108436e-07, 0.3475694573987e+01, 0.6148010737701e+01,
+ 0.8632374035438e-07, 0.3059070488983e-01, 0.6418140963190e+01,
+ 0.7893186992967e-07, 0.1583194837728e+01, 0.2118763888447e+01,
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+ 0.6431797403933e-08, 0.4134407994088e+01, 0.1350651127443e+00,
+ 0.5003182207604e-08, 0.3805420303749e+01, 0.1096996532989e+02,
+ 0.5587731032504e-08, 0.1082469260599e+01, 0.6062663316000e+01,
+ 0.5935263407816e-08, 0.8384333678401e+00, 0.5326786718777e+01,
+ 0.4756019827760e-08, 0.3552588749309e+01, 0.3104930017775e+01,
+ 0.6599951172637e-08, 0.4320826409528e+01, 0.4087944051283e+02,
+ 0.5902606868464e-08, 0.4811879454445e+01, 0.5849364236221e+01,
+ 0.5921147809031e-08, 0.9942628922396e-01, 0.1581959461667e+01,
+ 0.5505382581266e-08, 0.2466557607764e+01, 0.6503488384892e+01,
+ 0.5353771071862e-08, 0.4551978748683e+01, 0.1735668374386e+03,
+
+ 0.5063282210946e-08, 0.5710812312425e+01, 0.1248988586463e+02,
+ 0.5926120403383e-08, 0.1333998428358e+01, 0.2673594526851e+02,
+ 0.5211016176149e-08, 0.4649315360760e+01, 0.2460261242967e+02,
+ 0.5347075084894e-08, 0.5512754081205e+01, 0.4171425416666e+01,
+ 0.4872609773574e-08, 0.1308025299938e+01, 0.5333900173445e+01,
+ 0.4727711321420e-08, 0.2144908368062e+01, 0.7232251527446e+01,
+ 0.6029426018652e-08, 0.5567259412084e+01, 0.3227113045244e+03,
+ 0.4321485284369e-08, 0.5230667156451e+01, 0.9388005868221e+01,
+ 0.4476406760553e-08, 0.6134081115303e+01, 0.5547199253223e+01,
+ 0.5835268277420e-08, 0.4783808492071e+01, 0.7285056171570e+02,
+
+ 0.5172183602748e-08, 0.5161817911099e+01, 0.1884570439172e+02,
+ 0.5693571465184e-08, 0.1381646203111e+01, 0.9723862754494e+02,
+ 0.4060634965349e-08, 0.3876705259495e+00, 0.4274518229222e+01,
+ 0.3967398770473e-08, 0.5029491776223e+01, 0.3496032717521e+01,
+ 0.3943754005255e-08, 0.1923162955490e+01, 0.6244942932314e+01,
+ 0.4781323427824e-08, 0.4633332586423e+01, 0.2929661536378e+02,
+ 0.3871483781204e-08, 0.1616650009743e+01, 0.6321208768577e+01,
+ 0.5141741733997e-08, 0.9817316704659e-01, 0.1232032006293e+02,
+ 0.4002385978497e-08, 0.3656161212139e+01, 0.7018952447668e+01,
+ 0.4901092604097e-08, 0.4404098713092e+01, 0.1478866649112e+01,
+
+ 0.3740932630345e-08, 0.5181188732639e+00, 0.6922973089781e+01,
+ 0.4387283718538e-08, 0.3254859566869e+01, 0.2331413144044e+03,
+ 0.5019197802033e-08, 0.3086773224677e+01, 0.1715706182245e+02,
+ 0.3834931695175e-08, 0.2797882673542e+01, 0.1491901785440e+02,
+ 0.3760413942497e-08, 0.2892676280217e+01, 0.1726726808967e+02,
+ 0.3719717204628e-08, 0.5861046025739e+01, 0.6297302759782e+01,
+ 0.4145623530149e-08, 0.2168239627033e+01, 0.1376059875786e+02,
+ 0.3932788425380e-08, 0.6271811124181e+01, 0.7872148766781e+01,
+ 0.3686377476857e-08, 0.3936853151404e+01, 0.6268848941110e+01,
+ 0.3779077950339e-08, 0.1404148734043e+01, 0.4157198507331e+01,
+
+ 0.4091334550598e-08, 0.2452436180854e+01, 0.9779108567966e+01,
+ 0.3926694536146e-08, 0.6102292739040e+01, 0.1098419223922e+02,
+ 0.4841000253289e-08, 0.6072760457276e+01, 0.1252801878276e+02,
+ 0.4949340130240e-08, 0.1154832815171e+01, 0.1617106187867e+03,
+ 0.3761557737360e-08, 0.5527545321897e+01, 0.3185192151914e+01,
+ 0.3647396268188e-08, 0.1525035688629e+01, 0.6271346477544e+01,
+ 0.3932405074189e-08, 0.5570681040569e+01, 0.2139354194808e+02,
+ 0.3631322501141e-08, 0.1981240601160e+01, 0.6294805223347e+01,
+ 0.4130007425139e-08, 0.2050060880201e+01, 0.2195415756911e+02,
+ 0.4433905965176e-08, 0.3277477970321e+01, 0.7445550607224e+01,
+
+ 0.3851814176947e-08, 0.5210690074886e+01, 0.9562891316684e+00,
+ 0.3485807052785e-08, 0.6653274904611e+00, 0.1161697602389e+02,
+ 0.3979772816991e-08, 0.1767941436148e+01, 0.2277943724828e+02,
+ 0.3402607460500e-08, 0.3421746306465e+01, 0.1087398597200e+02,
+ 0.4049993000926e-08, 0.1127144787547e+01, 0.3163918923335e+00,
+ 0.3420511182382e-08, 0.4214794779161e+01, 0.1362553364512e+02,
+ 0.3640772365012e-08, 0.5324905497687e+01, 0.1725304118033e+02,
+ 0.3323037987501e-08, 0.6135761838271e+01, 0.6279143387820e+01,
+ 0.4503141663637e-08, 0.1802305450666e+01, 0.1385561574497e+01,
+ 0.4314560055588e-08, 0.4812299731574e+01, 0.4176041334900e+01,
+
+ 0.3294226949110e-08, 0.3657547059723e+01, 0.6287008313071e+01,
+ 0.3215657197281e-08, 0.4866676894425e+01, 0.5749861718712e+01,
+ 0.4129362656266e-08, 0.3809342558906e+01, 0.5905702259363e+01,
+ 0.3137762976388e-08, 0.2494635174443e+01, 0.2099539292909e+02,
+ 0.3514010952384e-08, 0.2699961831678e+01, 0.7335344340001e+01,
+ 0.3327607571530e-08, 0.3318457714816e+01, 0.5436992986000e+01,
+ 0.3541066946675e-08, 0.4382703582466e+01, 0.1234573916645e+02,
+ 0.3216179847052e-08, 0.5271066317054e+01, 0.3802769619140e-01,
+ 0.2959045059570e-08, 0.5819591585302e+01, 0.2670964694522e+02,
+ 0.3884040326665e-08, 0.5980934960428e+01, 0.6660449441528e+01,
+
+ 0.2922027539886e-08, 0.3337290282483e+01, 0.1375773836557e+01,
+ 0.4110846382042e-08, 0.5742978187327e+01, 0.4480965020977e+02,
+ 0.2934508411032e-08, 0.2278075804200e+01, 0.6408777551755e+00,
+ 0.3966896193000e-08, 0.5835747858477e+01, 0.3773735910827e+00,
+ 0.3286695827610e-08, 0.5838898193902e+01, 0.3932462625300e-02,
+ 0.3720643094196e-08, 0.1122212337858e+01, 0.1646033343740e+02,
+ 0.3285508906174e-08, 0.9182250996416e+00, 0.1081813534213e+02,
+ 0.3753880575973e-08, 0.5174761973266e+01, 0.5642198095270e+01,
+ 0.3022129385587e-08, 0.3381611020639e+01, 0.2982630633589e+02,
+ 0.2798569205621e-08, 0.3546193723922e+01, 0.1937891852345e+02,
+
+ 0.3397872070505e-08, 0.4533203197934e+01, 0.6923953605621e+01,
+ 0.3708099772977e-08, 0.2756168198616e+01, 0.3066615496545e+02,
+ 0.3599283541510e-08, 0.1934395469918e+01, 0.6147450479709e+01,
+ 0.3688702753059e-08, 0.7149920971109e+00, 0.2636725487657e+01,
+ 0.2681084724003e-08, 0.4899819493154e+01, 0.6816289982179e+01,
+ 0.3495993460759e-08, 0.1572418915115e+01, 0.6418701221183e+01,
+ 0.3130770324995e-08, 0.8912190180489e+00, 0.1235996607578e+02,
+ 0.2744353821941e-08, 0.3800821940055e+01, 0.2059724391010e+02,
+ 0.2842732906341e-08, 0.2644717440029e+01, 0.2828699048865e+02,
+ 0.3046882682154e-08, 0.3987793020179e+01, 0.6055599646783e+01,
+
+ 0.2399072455143e-08, 0.9908826440764e+00, 0.6255674361143e+01,
+ 0.2384306274204e-08, 0.2516149752220e+01, 0.6310477339748e+01,
+ 0.2977324500559e-08, 0.5849195642118e+01, 0.1652265972112e+02,
+ 0.3062835258972e-08, 0.1681660100162e+01, 0.1172006883645e+02,
+ 0.3109682589231e-08, 0.5804143987737e+00, 0.2751146787858e+02,
+ 0.2903920355299e-08, 0.5800768280123e+01, 0.6510552054109e+01,
+ 0.2823221989212e-08, 0.9241118370216e+00, 0.5469525544182e+01,
+ 0.3187949696649e-08, 0.3139776445735e+01, 0.1693792562116e+03,
+ 0.2922559771655e-08, 0.3549440782984e+01, 0.2630839062450e+00,
+ 0.2436302066603e-08, 0.4735540696319e+01, 0.3946258593675e+00,
+
+ 0.3049473043606e-08, 0.4998289124561e+01, 0.8390110365991e+01,
+ 0.2863682575784e-08, 0.6709515671102e+00, 0.2243449970715e+00,
+ 0.2641750517966e-08, 0.5410978257284e+01, 0.2986433403208e+02,
+ 0.2704093466243e-08, 0.4778317207821e+01, 0.6129297044991e+01,
+ 0.2445522177011e-08, 0.6009020662222e+01, 0.1171295538178e+02,
+ 0.2623608810230e-08, 0.5010449777147e+01, 0.6436854655901e+01,
+ 0.2079259704053e-08, 0.5980943768809e+01, 0.2019909489111e+02,
+ 0.2820225596771e-08, 0.2679965110468e+01, 0.5934151399930e+01,
+ 0.2365221950927e-08, 0.1894231148810e+01, 0.2470570524223e+02,
+ 0.2359682077149e-08, 0.4220752950780e+01, 0.8671969964381e+01,
+
+ 0.2387577137206e-08, 0.2571783940617e+01, 0.7096626156709e+01,
+ 0.1982102089816e-08, 0.5169765997119e+00, 0.1727188400790e+02,
+ 0.2687502389925e-08, 0.6239078264579e+01, 0.7075506709219e+02,
+ 0.2207751669135e-08, 0.2031184412677e+01, 0.4377611041777e+01,
+ 0.2618370214274e-08, 0.8266079985979e+00, 0.6632000300961e+01,
+ 0.2591951887361e-08, 0.8819350522008e+00, 0.4873985990671e+02,
+ 0.2375055656248e-08, 0.3520944177789e+01, 0.1590676413561e+02,
+ 0.2472019978911e-08, 0.1551431908671e+01, 0.6612329252343e+00,
+ 0.2368157127199e-08, 0.4178610147412e+01, 0.3459636466239e+02,
+ 0.1764846605693e-08, 0.1506764000157e+01, 0.1980094587212e+02,
+
+ 0.2291769608798e-08, 0.2118250611782e+01, 0.2844914056730e-01,
+ 0.2209997316943e-08, 0.3363255261678e+01, 0.2666070658668e+00,
+ 0.2292699097923e-08, 0.4200423956460e+00, 0.1484170571900e-02,
+ 0.1629683015329e-08, 0.2331362582487e+01, 0.3035599730800e+02,
+ 0.2206492862426e-08, 0.3400274026992e+01, 0.6281667977667e+01,
+ 0.2205746568257e-08, 0.1066051230724e+00, 0.6284483723224e+01,
+ 0.2026310767991e-08, 0.2779066487979e+01, 0.2449240616245e+02,
+ 0.1762977622163e-08, 0.9951450691840e+00, 0.2045286941806e+02,
+ 0.1368535049606e-08, 0.6402447365817e+00, 0.2473415438279e+02,
+ 0.1720598775450e-08, 0.2303524214705e+00, 0.1679593901136e+03,
+
+ 0.1702429015449e-08, 0.6164622655048e+01, 0.3338575901272e+03,
+ 0.1414033197685e-08, 0.3954561185580e+01, 0.1624205518357e+03,
+ 0.1573768958043e-08, 0.2028286308984e+01, 0.3144167757552e+02,
+ 0.1650705184447e-08, 0.2304040666128e+01, 0.5267006960365e+02,
+ 0.1651087618855e-08, 0.2538461057280e+01, 0.8956999012000e+02,
+ 0.1616409518983e-08, 0.5111054348152e+01, 0.3332657872986e+02,
+ 0.1537175173581e-08, 0.5601130666603e+01, 0.3852657435933e+02,
+ 0.1593191980553e-08, 0.2614340453411e+01, 0.2282781046519e+03,
+ 0.1499480170643e-08, 0.3624721577264e+01, 0.2823723341956e+02,
+ 0.1493807843235e-08, 0.4214569879008e+01, 0.2876692439167e+02,
+
+ 0.1074571199328e-08, 0.1496911744704e+00, 0.8397383534231e+02,
+ 0.1074406983417e-08, 0.1187817671922e+01, 0.8401985929482e+02,
+ 0.9757576855851e-09, 0.2655703035858e+01, 0.7826370942180e+02,
+ 0.1258432887565e-08, 0.4969896184844e+01, 0.3115650189215e+03,
+ 0.1240336343282e-08, 0.5192460776926e+01, 0.1784300471910e+03,
+ 0.9016107005164e-09, 0.1960356923057e+01, 0.5886454391678e+02,
+ 0.1135392360918e-08, 0.5082427809068e+01, 0.7842370451713e+02,
+ 0.9216046089565e-09, 0.2793775037273e+01, 0.1014262087719e+03,
+ 0.1061276615030e-08, 0.3726144311409e+01, 0.5660027930059e+02,
+ 0.1010110596263e-08, 0.7404080708937e+00, 0.4245678405627e+02,
+
+ 0.7217424756199e-09, 0.2697449980577e-01, 0.2457074661053e+03,
+ 0.6912003846756e-09, 0.4253296276335e+01, 0.1679936946371e+03,
+ 0.6871814664847e-09, 0.5148072412354e+01, 0.6053048899753e+02,
+ 0.4887158016343e-09, 0.2153581148294e+01, 0.9656299901946e+02,
+ 0.5161802866314e-09, 0.3852750634351e+01, 0.2442876000072e+03,
+ 0.5652599559057e-09, 0.1233233356270e+01, 0.8365903305582e+02,
+ 0.4710812608586e-09, 0.5610486976767e+01, 0.3164282286739e+03,
+ 0.4909977500324e-09, 0.1639629524123e+01, 0.4059982187939e+03,
+ 0.4772641839378e-09, 0.3737100368583e+01, 0.1805255418145e+03,
+ 0.4487562567153e-09, 0.1158417054478e+00, 0.8433466158131e+02,
+
+ 0.3943441230497e-09, 0.6243502862796e+00, 0.2568537517081e+03,
+ 0.3952236913598e-09, 0.3510377382385e+01, 0.2449975330562e+03,
+ 0.3788898363417e-09, 0.5916128302299e+01, 0.1568131045107e+03,
+ 0.3738329328831e-09, 0.1042266763456e+01, 0.3948519331910e+03,
+ 0.2451199165151e-09, 0.1166788435700e+01, 0.1435713242844e+03,
+ 0.2436734402904e-09, 0.3254726114901e+01, 0.2268582385539e+03,
+ 0.2213605274325e-09, 0.1687210598530e+01, 0.1658638954901e+03,
+ 0.1491521204829e-09, 0.2657541786794e+01, 0.2219950288015e+03,
+ 0.1474995329744e-09, 0.5013089805819e+01, 0.3052819430710e+03,
+ 0.1661939475656e-09, 0.5495315428418e+01, 0.2526661704812e+03,
+
+ 0.9015946748003e-10, 0.2236989966505e+01, 0.4171445043968e+03 };
+
+/* Sun-to-Earth, T^0, Z */
+ static const double e0z[] = {
+ 0.2796207639075e-05, 0.3198701560209e+01, 0.8433466158131e+02,
+ 0.1016042198142e-05, 0.5422360395913e+01, 0.5507553240374e+01,
+ 0.8044305033647e-06, 0.3880222866652e+01, 0.5223693906222e+01,
+ 0.4385347909274e-06, 0.3704369937468e+01, 0.2352866153506e+01,
+ 0.3186156414906e-06, 0.3999639363235e+01, 0.1577343543434e+01,
+ 0.2272412285792e-06, 0.3984738315952e+01, 0.1047747311755e+01,
+ 0.1645620103007e-06, 0.3565412516841e+01, 0.5856477690889e+01,
+ 0.1815836921166e-06, 0.4984507059020e+01, 0.6283075850446e+01,
+ 0.1447461676364e-06, 0.3702753570108e+01, 0.9437762937313e+01,
+ 0.1430760876382e-06, 0.3409658712357e+01, 0.1021328554739e+02,
+
+ 0.1120445753226e-06, 0.4829561570246e+01, 0.1414349524433e+02,
+ 0.1090232840797e-06, 0.2080729178066e+01, 0.6812766822558e+01,
+ 0.9715727346551e-07, 0.3476295881948e+01, 0.4694002934110e+01,
+ 0.1036267136217e-06, 0.4056639536648e+01, 0.7109288135493e+02,
+ 0.8752665271340e-07, 0.4448159519911e+01, 0.5753384878334e+01,
+ 0.8331864956004e-07, 0.4991704044208e+01, 0.7084896783808e+01,
+ 0.6901658670245e-07, 0.4325358994219e+01, 0.6275962395778e+01,
+ 0.9144536848998e-07, 0.1141826375363e+01, 0.6620890113188e+01,
+ 0.7205085037435e-07, 0.3624344170143e+01, 0.5296909721118e+00,
+ 0.7697874654176e-07, 0.5554257458998e+01, 0.1676215758509e+03,
+
+ 0.5197545738384e-07, 0.6251760961735e+01, 0.1807370494127e+02,
+ 0.5031345378608e-07, 0.2497341091913e+01, 0.4705732307012e+01,
+ 0.4527110205840e-07, 0.2335079920992e+01, 0.6309374173736e+01,
+ 0.4753355798089e-07, 0.7094148987474e+00, 0.5884926831456e+01,
+ 0.4296951977516e-07, 0.1101916352091e+01, 0.6681224869435e+01,
+ 0.3855341568387e-07, 0.1825495405486e+01, 0.5486777812467e+01,
+ 0.5253930970990e-07, 0.4424740687208e+01, 0.7860419393880e+01,
+ 0.4024630496471e-07, 0.5120498157053e+01, 0.1336797263425e+02,
+ 0.4061069791453e-07, 0.6029771435451e+01, 0.3930209696940e+01,
+ 0.3797883804205e-07, 0.4435193600836e+00, 0.3154687086868e+01,
+
+ 0.2933033225587e-07, 0.5124157356507e+01, 0.1059381944224e+01,
+ 0.3503000930426e-07, 0.5421830162065e+01, 0.6069776770667e+01,
+ 0.3670096214050e-07, 0.4582101667297e+01, 0.1219403291462e+02,
+ 0.2905609437008e-07, 0.1926566420072e+01, 0.1097707878456e+02,
+ 0.2466827821713e-07, 0.6090174539834e+00, 0.6496374930224e+01,
+ 0.2691647295332e-07, 0.1393432595077e+01, 0.2200391463820e+02,
+ 0.2150554667946e-07, 0.4308671715951e+01, 0.5643178611111e+01,
+ 0.2237481922680e-07, 0.8133968269414e+00, 0.8635942003952e+01,
+ 0.1817741038157e-07, 0.3755205127454e+01, 0.3340612434717e+01,
+ 0.2227820762132e-07, 0.2759558596664e+01, 0.1203646072878e+02,
+
+ 0.1944713772307e-07, 0.5699645869121e+01, 0.1179062909082e+02,
+ 0.1527340520662e-07, 0.1986749091746e+01, 0.3981490189893e+00,
+ 0.1577282574914e-07, 0.3205017217983e+01, 0.5088628793478e+01,
+ 0.1424738825424e-07, 0.6256747903666e+01, 0.2544314396739e+01,
+ 0.1616563121701e-07, 0.2601671259394e+00, 0.1729818233119e+02,
+ 0.1401210391692e-07, 0.4686939173506e+01, 0.7058598460518e+01,
+ 0.1488726974214e-07, 0.2815862451372e+01, 0.2593412433514e+02,
+ 0.1692626442388e-07, 0.4956894109797e+01, 0.1564752902480e+03,
+ 0.1123571582910e-07, 0.2381192697696e+01, 0.3738761453707e+01,
+ 0.9903308606317e-08, 0.4294851657684e+01, 0.9225539266174e+01,
+
+ 0.9174533187191e-08, 0.3075171510642e+01, 0.4164311961999e+01,
+ 0.8645985631457e-08, 0.5477534821633e+00, 0.8429241228195e+01,
+ -0.1085876492688e-07, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.9264309077815e-08, 0.5968571670097e+01, 0.7079373888424e+01,
+ 0.8243116984954e-08, 0.1489098777643e+01, 0.1044738781244e+02,
+ 0.8268102113708e-08, 0.3512977691983e+01, 0.1150676975667e+02,
+ 0.9043613988227e-08, 0.1290704408221e+00, 0.1101510648075e+02,
+ 0.7432912038789e-08, 0.1991086893337e+01, 0.2608790314060e+02,
+ 0.8586233727285e-08, 0.4238357924414e+01, 0.2986433403208e+02,
+ 0.7612230060131e-08, 0.2911090150166e+01, 0.4732030630302e+01,
+
+ 0.7097787751408e-08, 0.1908938392390e+01, 0.8031092209206e+01,
+ 0.7640237040175e-08, 0.6129219000168e+00, 0.7962980379786e+00,
+ 0.7070445688081e-08, 0.1380417036651e+01, 0.2146165377750e+01,
+ 0.7690770957702e-08, 0.1680504249084e+01, 0.2122839202813e+02,
+ 0.8051292542594e-08, 0.5127423484511e+01, 0.2942463415728e+01,
+ 0.5902709104515e-08, 0.2020274190917e+01, 0.7755226100720e+00,
+ 0.5134567496462e-08, 0.2606778676418e+01, 0.1256615170089e+02,
+ 0.5525802046102e-08, 0.1613011769663e+01, 0.8018209333619e+00,
+ 0.5880724784221e-08, 0.4604483417236e+01, 0.4690479774488e+01,
+ 0.5211699081370e-08, 0.5718964114193e+01, 0.8827390247185e+01,
+
+ 0.4891849573562e-08, 0.3689658932196e+01, 0.2132990797783e+00,
+ 0.5150246069997e-08, 0.4099769855122e+01, 0.6480980550449e+02,
+ 0.5102434319633e-08, 0.5660834602509e+01, 0.3379454372902e+02,
+ 0.5083405254252e-08, 0.9842221218974e+00, 0.4136910472696e+01,
+ 0.4206562585682e-08, 0.1341363634163e+00, 0.3128388763578e+01,
+ 0.4663249683579e-08, 0.8130132735866e+00, 0.5216580451554e+01,
+ 0.4099474416530e-08, 0.5791497770644e+01, 0.4265981595566e+00,
+ 0.4628251220767e-08, 0.1249802769331e+01, 0.1572083878776e+02,
+ 0.5024068728142e-08, 0.4795684802743e+01, 0.6290189305114e+01,
+ 0.5120234327758e-08, 0.3810420387208e+01, 0.5230807360890e+01,
+
+ 0.5524029815280e-08, 0.1029264714351e+01, 0.2397622045175e+03,
+ 0.4757415718860e-08, 0.3528044781779e+01, 0.1649636139783e+02,
+ 0.3915786131127e-08, 0.5593889282646e+01, 0.1589072916335e+01,
+ 0.4869053149991e-08, 0.3299636454433e+01, 0.7632943190217e+01,
+ 0.3649365703729e-08, 0.1286049002584e+01, 0.6206810014183e+01,
+ 0.3992493949002e-08, 0.3100307589464e+01, 0.2515860172507e+02,
+ 0.3320247477418e-08, 0.6212683940807e+01, 0.1216800268190e+02,
+ 0.3287123739696e-08, 0.4699118445928e+01, 0.7234794171227e+01,
+ 0.3472776811103e-08, 0.2630507142004e+01, 0.7342457794669e+01,
+ 0.3423253294767e-08, 0.2946432844305e+01, 0.9623688285163e+01,
+
+ 0.3896173898244e-08, 0.1224834179264e+01, 0.6438496133249e+01,
+ 0.3388455337924e-08, 0.1543807616351e+01, 0.1494531617769e+02,
+ 0.3062704716523e-08, 0.1191777572310e+01, 0.8662240327241e+01,
+ 0.3270075600400e-08, 0.5483498767737e+01, 0.1194447056968e+01,
+ 0.3101209215259e-08, 0.8000833804348e+00, 0.3772475342596e+02,
+ 0.2780883347311e-08, 0.4077980721888e+00, 0.5863591145557e+01,
+ 0.2903605931824e-08, 0.2617490302147e+01, 0.1965104848470e+02,
+ 0.2682014743119e-08, 0.2634703158290e+01, 0.7238675589263e+01,
+ 0.2534360108492e-08, 0.6102446114873e+01, 0.6836645152238e+01,
+ 0.2392564882509e-08, 0.3681820208691e+01, 0.5849364236221e+01,
+
+ 0.2656667254856e-08, 0.6216045388886e+01, 0.6133512519065e+01,
+ 0.2331242096773e-08, 0.5864949777744e+01, 0.4535059491685e+01,
+ 0.2287898363668e-08, 0.4566628532802e+01, 0.7477522907414e+01,
+ 0.2336944521306e-08, 0.2442722126930e+01, 0.1137170464392e+02,
+ 0.3156632236269e-08, 0.1626628050682e+01, 0.2509084901204e+03,
+ 0.2982612402766e-08, 0.2803604512609e+01, 0.1748016358760e+01,
+ 0.2774031674807e-08, 0.4654002897158e+01, 0.8223916695780e+02,
+ 0.2295236548638e-08, 0.4326518333253e+01, 0.3378142627421e+00,
+ 0.2190714699873e-08, 0.4519614578328e+01, 0.2908881142201e+02,
+ 0.2191495845045e-08, 0.3012626912549e+01, 0.1673046366289e+02,
+
+ 0.2492901628386e-08, 0.1290101424052e+00, 0.1543797956245e+03,
+ 0.1993778064319e-08, 0.3864046799414e+01, 0.1778984560711e+02,
+ 0.1898146479022e-08, 0.5053777235891e+01, 0.2042657109477e+02,
+ 0.1918280127634e-08, 0.2222470192548e+01, 0.4165496312290e+02,
+ 0.1916351061607e-08, 0.8719067257774e+00, 0.7737595720538e+02,
+ 0.1834720181466e-08, 0.4031491098040e+01, 0.2358125818164e+02,
+ 0.1249201523806e-08, 0.5938379466835e+01, 0.3301902111895e+02,
+ 0.1477304050539e-08, 0.6544722606797e+00, 0.9548094718417e+02,
+ 0.1264316431249e-08, 0.2059072853236e+01, 0.8399684731857e+02,
+ 0.1203526495039e-08, 0.3644813532605e+01, 0.4558517281984e+02,
+
+ 0.9221681059831e-09, 0.3241815055602e+01, 0.7805158573086e+02,
+ 0.7849278367646e-09, 0.5043812342457e+01, 0.5217580628120e+02,
+ 0.7983392077387e-09, 0.5000024502753e+01, 0.1501922143975e+03,
+ 0.7925395431654e-09, 0.1398734871821e-01, 0.9061773743175e+02,
+ 0.7640473285886e-09, 0.5067111723130e+01, 0.4951538251678e+02,
+ 0.5398937754482e-09, 0.5597382200075e+01, 0.1613385000004e+03,
+ 0.5626247550193e-09, 0.2601338209422e+01, 0.7318837597844e+02,
+ 0.5525197197855e-09, 0.5814832109256e+01, 0.1432335100216e+03,
+ 0.5407629837898e-09, 0.3384820609076e+01, 0.3230491187871e+03,
+ 0.3856739119801e-09, 0.1072391840473e+01, 0.2334791286671e+03,
+
+ 0.3856425239987e-09, 0.2369540393327e+01, 0.1739046517013e+03,
+ 0.4350867755983e-09, 0.5255575751082e+01, 0.1620484330494e+03,
+ 0.3844113924996e-09, 0.5482356246182e+01, 0.9757644180768e+02,
+ 0.2854869155431e-09, 0.9573634763143e+00, 0.1697170704744e+03,
+ 0.1719227671416e-09, 0.1887203025202e+01, 0.2265204242912e+03,
+ 0.1527846879755e-09, 0.3982183931157e+01, 0.3341954043900e+03,
+ 0.1128229264847e-09, 0.2787457156298e+01, 0.3119028331842e+03 };
+
+/* Sun-to-Earth, T^1, X */
+ static const double e1x[] = {
+ 0.1234046326004e-05, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.5150068824701e-06, 0.6002664557501e+01, 0.1256615170089e+02,
+ 0.1290743923245e-07, 0.5959437664199e+01, 0.1884922755134e+02,
+ 0.1068615564952e-07, 0.2015529654209e+01, 0.6283075850446e+01,
+ 0.2079619142538e-08, 0.1732960531432e+01, 0.6279552690824e+01,
+ 0.2078009243969e-08, 0.4915604476996e+01, 0.6286599010068e+01,
+ 0.6206330058856e-09, 0.3616457953824e+00, 0.4705732307012e+01,
+ 0.5989335313746e-09, 0.3802607304474e+01, 0.6256777527156e+01,
+ 0.5958495663840e-09, 0.2845866560031e+01, 0.6309374173736e+01,
+ 0.4866923261539e-09, 0.5213203771824e+01, 0.7755226100720e+00,
+
+ 0.4267785823142e-09, 0.4368189727818e+00, 0.1059381944224e+01,
+ 0.4610675141648e-09, 0.1837249181372e-01, 0.7860419393880e+01,
+ 0.3626989993973e-09, 0.2161590545326e+01, 0.5753384878334e+01,
+ 0.3563071194389e-09, 0.1452631954746e+01, 0.5884926831456e+01,
+ 0.3557015642807e-09, 0.4470593393054e+01, 0.6812766822558e+01,
+ 0.3210412089122e-09, 0.5195926078314e+01, 0.6681224869435e+01,
+ 0.2875473577986e-09, 0.5916256610193e+01, 0.2513230340178e+02,
+ 0.2842913681629e-09, 0.1149902426047e+01, 0.6127655567643e+01,
+ 0.2751248215916e-09, 0.5502088574662e+01, 0.6438496133249e+01,
+ 0.2481432881127e-09, 0.2921989846637e+01, 0.5486777812467e+01,
+
+ 0.2059885976560e-09, 0.3718070376585e+01, 0.7079373888424e+01,
+ 0.2015522342591e-09, 0.5979395259740e+01, 0.6290189305114e+01,
+ 0.1995364084253e-09, 0.6772087985494e+00, 0.6275962395778e+01,
+ 0.1957436436943e-09, 0.2899210654665e+01, 0.5507553240374e+01,
+ 0.1651609818948e-09, 0.6228206482192e+01, 0.1150676975667e+02,
+ 0.1822980550699e-09, 0.1469348746179e+01, 0.1179062909082e+02,
+ 0.1675223159760e-09, 0.3813910555688e+01, 0.7058598460518e+01,
+ 0.1706491764745e-09, 0.3004380506684e+00, 0.7113454667900e-02,
+ 0.1392952362615e-09, 0.1440393973406e+01, 0.7962980379786e+00,
+ 0.1209868266342e-09, 0.4150425791727e+01, 0.4694002934110e+01,
+
+ 0.1009827202611e-09, 0.3290040429843e+01, 0.3738761453707e+01,
+ 0.1047261388602e-09, 0.4229590090227e+01, 0.6282095334605e+01,
+ 0.1047006652004e-09, 0.2418967680575e+01, 0.6284056366286e+01,
+ 0.9609993143095e-10, 0.4627943659201e+01, 0.6069776770667e+01,
+ 0.9590900593873e-10, 0.1894393939924e+01, 0.4136910472696e+01,
+ 0.9146249188071e-10, 0.2010647519562e+01, 0.6496374930224e+01,
+ 0.8545274480290e-10, 0.5529846956226e-01, 0.1194447056968e+01,
+ 0.8224377881194e-10, 0.1254304102174e+01, 0.1589072916335e+01,
+ 0.6183529510410e-10, 0.3360862168815e+01, 0.8827390247185e+01,
+ 0.6259255147141e-10, 0.4755628243179e+01, 0.8429241228195e+01,
+
+ 0.5539291694151e-10, 0.5371746955142e+01, 0.4933208510675e+01,
+ 0.7328259466314e-10, 0.4927699613906e+00, 0.4535059491685e+01,
+ 0.6017835843560e-10, 0.5776682001734e-01, 0.1255903824622e+02,
+ 0.7079827775243e-10, 0.4395059432251e+01, 0.5088628793478e+01,
+ 0.5170358878213e-10, 0.5154062619954e+01, 0.1176985366291e+02,
+ 0.4872301838682e-10, 0.6289611648973e+00, 0.6040347114260e+01,
+ 0.5249869411058e-10, 0.5617272046949e+01, 0.3154687086868e+01,
+ 0.4716172354411e-10, 0.3965901800877e+01, 0.5331357529664e+01,
+ 0.4871214940964e-10, 0.4627507050093e+01, 0.1256967486051e+02,
+ 0.4598076850751e-10, 0.6023631226459e+01, 0.6525804586632e+01,
+
+ 0.4562196089485e-10, 0.4138562084068e+01, 0.3930209696940e+01,
+ 0.4325493872224e-10, 0.1330845906564e+01, 0.7632943190217e+01,
+ 0.5673781176748e-10, 0.2558752615657e+01, 0.5729506548653e+01,
+ 0.3961436642503e-10, 0.2728071734630e+01, 0.7234794171227e+01,
+ 0.5101868209058e-10, 0.4113444965144e+01, 0.6836645152238e+01,
+ 0.5257043167676e-10, 0.6195089830590e+01, 0.8031092209206e+01,
+ 0.5076613989393e-10, 0.2305124132918e+01, 0.7477522907414e+01,
+ 0.3342169352778e-10, 0.5415998155071e+01, 0.1097707878456e+02,
+ 0.3545881983591e-10, 0.3727160564574e+01, 0.4164311961999e+01,
+ 0.3364063738599e-10, 0.2901121049204e+00, 0.1137170464392e+02,
+
+ 0.3357039670776e-10, 0.1652229354331e+01, 0.5223693906222e+01,
+ 0.4307412268687e-10, 0.4938909587445e+01, 0.1592596075957e+01,
+ 0.3405769115435e-10, 0.2408890766511e+01, 0.3128388763578e+01,
+ 0.3001926198480e-10, 0.4862239006386e+01, 0.1748016358760e+01,
+ 0.2778264787325e-10, 0.5241168661353e+01, 0.7342457794669e+01,
+ 0.2676159480666e-10, 0.3423593942199e+01, 0.2146165377750e+01,
+ 0.2954273399939e-10, 0.1881721265406e+01, 0.5368044267797e+00,
+ 0.3309362888795e-10, 0.1931525677349e+01, 0.8018209333619e+00,
+ 0.2810283608438e-10, 0.2414659495050e+01, 0.5225775174439e+00,
+ 0.3378045637764e-10, 0.4238019163430e+01, 0.1554202828031e+00,
+
+ 0.2558134979840e-10, 0.1828225235805e+01, 0.5230807360890e+01,
+ 0.2273755578447e-10, 0.5858184283998e+01, 0.7084896783808e+01,
+ 0.2294176037690e-10, 0.4514589779057e+01, 0.1726015463500e+02,
+ 0.2533506099435e-10, 0.2355717851551e+01, 0.5216580451554e+01,
+ 0.2716685375812e-10, 0.2221003625100e+01, 0.8635942003952e+01,
+ 0.2419043435198e-10, 0.5955704951635e+01, 0.4690479774488e+01,
+ 0.2521232544812e-10, 0.1395676848521e+01, 0.5481254917084e+01,
+ 0.2630195021491e-10, 0.5727468918743e+01, 0.2629832328990e-01,
+ 0.2548395840944e-10, 0.2628351859400e-03, 0.1349867339771e+01 };
+
+/* Sun-to-Earth, T^1, Y */
+ static const double e1y[] = {
+ 0.9304690546528e-06, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.5150715570663e-06, 0.4431807116294e+01, 0.1256615170089e+02,
+ 0.1290825411056e-07, 0.4388610039678e+01, 0.1884922755134e+02,
+ 0.4645466665386e-08, 0.5827263376034e+01, 0.6283075850446e+01,
+ 0.2079625310718e-08, 0.1621698662282e+00, 0.6279552690824e+01,
+ 0.2078189850907e-08, 0.3344713435140e+01, 0.6286599010068e+01,
+ 0.6207190138027e-09, 0.5074049319576e+01, 0.4705732307012e+01,
+ 0.5989826532569e-09, 0.2231842216620e+01, 0.6256777527156e+01,
+ 0.5961360812618e-09, 0.1274975769045e+01, 0.6309374173736e+01,
+ 0.4874165471016e-09, 0.3642277426779e+01, 0.7755226100720e+00,
+
+ 0.4283834034360e-09, 0.5148765510106e+01, 0.1059381944224e+01,
+ 0.4652389287529e-09, 0.4715794792175e+01, 0.7860419393880e+01,
+ 0.3751707476401e-09, 0.6617207370325e+00, 0.5753384878334e+01,
+ 0.3559998806198e-09, 0.6155548875404e+01, 0.5884926831456e+01,
+ 0.3558447558857e-09, 0.2898827297664e+01, 0.6812766822558e+01,
+ 0.3211116927106e-09, 0.3625813502509e+01, 0.6681224869435e+01,
+ 0.2875609914672e-09, 0.4345435813134e+01, 0.2513230340178e+02,
+ 0.2843109704069e-09, 0.5862263940038e+01, 0.6127655567643e+01,
+ 0.2744676468427e-09, 0.3926419475089e+01, 0.6438496133249e+01,
+ 0.2481285237789e-09, 0.1351976572828e+01, 0.5486777812467e+01,
+
+ 0.2060338481033e-09, 0.2147556998591e+01, 0.7079373888424e+01,
+ 0.2015822358331e-09, 0.4408358972216e+01, 0.6290189305114e+01,
+ 0.2001195944195e-09, 0.5385829822531e+01, 0.6275962395778e+01,
+ 0.1953667642377e-09, 0.1304933746120e+01, 0.5507553240374e+01,
+ 0.1839744078713e-09, 0.6173567228835e+01, 0.1179062909082e+02,
+ 0.1643334294845e-09, 0.4635942997523e+01, 0.1150676975667e+02,
+ 0.1768051018652e-09, 0.5086283558874e+01, 0.7113454667900e-02,
+ 0.1674874205489e-09, 0.2243332137241e+01, 0.7058598460518e+01,
+ 0.1421445397609e-09, 0.6186899771515e+01, 0.7962980379786e+00,
+ 0.1255163958267e-09, 0.5730238465658e+01, 0.4694002934110e+01,
+
+ 0.1013945281961e-09, 0.1726055228402e+01, 0.3738761453707e+01,
+ 0.1047294335852e-09, 0.2658801228129e+01, 0.6282095334605e+01,
+ 0.1047103879392e-09, 0.8481047835035e+00, 0.6284056366286e+01,
+ 0.9530343962826e-10, 0.3079267149859e+01, 0.6069776770667e+01,
+ 0.9604637611690e-10, 0.3258679792918e+00, 0.4136910472696e+01,
+ 0.9153518537177e-10, 0.4398599886584e+00, 0.6496374930224e+01,
+ 0.8562458214922e-10, 0.4772686794145e+01, 0.1194447056968e+01,
+ 0.8232525360654e-10, 0.5966220721679e+01, 0.1589072916335e+01,
+ 0.6150223411438e-10, 0.1780985591923e+01, 0.8827390247185e+01,
+ 0.6272087858000e-10, 0.3184305429012e+01, 0.8429241228195e+01,
+
+ 0.5540476311040e-10, 0.3801260595433e+01, 0.4933208510675e+01,
+ 0.7331901699361e-10, 0.5205948591865e+01, 0.4535059491685e+01,
+ 0.6018528702791e-10, 0.4770139083623e+01, 0.1255903824622e+02,
+ 0.5150530724804e-10, 0.3574796899585e+01, 0.1176985366291e+02,
+ 0.6471933741811e-10, 0.2679787266521e+01, 0.5088628793478e+01,
+ 0.5317460644174e-10, 0.9528763345494e+00, 0.3154687086868e+01,
+ 0.4832187748783e-10, 0.5329322498232e+01, 0.6040347114260e+01,
+ 0.4716763555110e-10, 0.2395235316466e+01, 0.5331357529664e+01,
+ 0.4871509139861e-10, 0.3056663648823e+01, 0.1256967486051e+02,
+ 0.4598417696768e-10, 0.4452762609019e+01, 0.6525804586632e+01,
+
+ 0.5674189533175e-10, 0.9879680872193e+00, 0.5729506548653e+01,
+ 0.4073560328195e-10, 0.5939127696986e+01, 0.7632943190217e+01,
+ 0.5040994945359e-10, 0.4549875824510e+01, 0.8031092209206e+01,
+ 0.5078185134679e-10, 0.7346659893982e+00, 0.7477522907414e+01,
+ 0.3769343537061e-10, 0.1071317188367e+01, 0.7234794171227e+01,
+ 0.4980331365299e-10, 0.2500345341784e+01, 0.6836645152238e+01,
+ 0.3458236594757e-10, 0.3825159450711e+01, 0.1097707878456e+02,
+ 0.3578859493602e-10, 0.5299664791549e+01, 0.4164311961999e+01,
+ 0.3370504646419e-10, 0.5002316301593e+01, 0.1137170464392e+02,
+ 0.3299873338428e-10, 0.2526123275282e+01, 0.3930209696940e+01,
+
+ 0.4304917318409e-10, 0.3368078557132e+01, 0.1592596075957e+01,
+ 0.3402418753455e-10, 0.8385495425800e+00, 0.3128388763578e+01,
+ 0.2778460572146e-10, 0.3669905203240e+01, 0.7342457794669e+01,
+ 0.2782710128902e-10, 0.2691664812170e+00, 0.1748016358760e+01,
+ 0.2711725179646e-10, 0.4707487217718e+01, 0.5296909721118e+00,
+ 0.2981760946340e-10, 0.3190260867816e+00, 0.5368044267797e+00,
+ 0.2811672977772e-10, 0.3196532315372e+01, 0.7084896783808e+01,
+ 0.2863454474467e-10, 0.2263240324780e+00, 0.5223693906222e+01,
+ 0.3333464634051e-10, 0.3498451685065e+01, 0.8018209333619e+00,
+ 0.3312991747609e-10, 0.5839154477412e+01, 0.1554202828031e+00,
+
+ 0.2813255564006e-10, 0.8268044346621e+00, 0.5225775174439e+00,
+ 0.2665098083966e-10, 0.3934021725360e+01, 0.5216580451554e+01,
+ 0.2349795705216e-10, 0.5197620913779e+01, 0.2146165377750e+01,
+ 0.2330352293961e-10, 0.2984999231807e+01, 0.1726015463500e+02,
+ 0.2728001683419e-10, 0.6521679638544e+00, 0.8635942003952e+01,
+ 0.2484061007669e-10, 0.3468955561097e+01, 0.5230807360890e+01,
+ 0.2646328768427e-10, 0.1013724533516e+01, 0.2629832328990e-01,
+ 0.2518630264831e-10, 0.6108081057122e+01, 0.5481254917084e+01,
+ 0.2421901455384e-10, 0.1651097776260e+01, 0.1349867339771e+01,
+ 0.6348533267831e-11, 0.3220226560321e+01, 0.8433466158131e+02 };
+
+/* Sun-to-Earth, T^1, Z */
+ static const double e1z[] = {
+ 0.2278290449966e-05, 0.3413716033863e+01, 0.6283075850446e+01,
+ 0.5429458209830e-07, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.1903240492525e-07, 0.3370592358297e+01, 0.1256615170089e+02,
+ 0.2385409276743e-09, 0.3327914718416e+01, 0.1884922755134e+02,
+ 0.8676928342573e-10, 0.1824006811264e+01, 0.5223693906222e+01,
+ 0.7765442593544e-10, 0.3888564279247e+01, 0.5507553240374e+01,
+ 0.7066158332715e-10, 0.5194267231944e+01, 0.2352866153506e+01,
+ 0.7092175288657e-10, 0.2333246960021e+01, 0.8399684731857e+02,
+ 0.5357582213535e-10, 0.2224031176619e+01, 0.5296909721118e+00,
+ 0.3828035865021e-10, 0.2156710933584e+01, 0.6279552690824e+01,
+
+ 0.3824857220427e-10, 0.1529755219915e+01, 0.6286599010068e+01,
+ 0.3286995181628e-10, 0.4879512900483e+01, 0.1021328554739e+02 };
+
+/* Sun-to-Earth, T^2, X */
+ static const double e2x[] = {
+ -0.4143818297913e-10, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.2171497694435e-10, 0.4398225628264e+01, 0.1256615170089e+02,
+ 0.9845398442516e-11, 0.2079720838384e+00, 0.6283075850446e+01,
+ 0.9256833552682e-12, 0.4191264694361e+01, 0.1884922755134e+02,
+ 0.1022049384115e-12, 0.5381133195658e+01, 0.8399684731857e+02 };
+
+/* Sun-to-Earth, T^2, Y */
+ static const double e2y[] = {
+ 0.5063375872532e-10, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.2173815785980e-10, 0.2827805833053e+01, 0.1256615170089e+02,
+ 0.1010231999920e-10, 0.4634612377133e+01, 0.6283075850446e+01,
+ 0.9259745317636e-12, 0.2620612076189e+01, 0.1884922755134e+02,
+ 0.1022202095812e-12, 0.3809562326066e+01, 0.8399684731857e+02 };
+
+/* Sun-to-Earth, T^2, Z */
+ static const double e2z[] = {
+ 0.9722666114891e-10, 0.5152219582658e+01, 0.6283075850446e+01,
+ -0.3494819171909e-11, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.6713034376076e-12, 0.6440188750495e+00, 0.1256615170089e+02 };
+
+/* SSB-to-Sun, T^0, X */
+ static const double s0x[] = {
+ 0.4956757536410e-02, 0.3741073751789e+01, 0.5296909721118e+00,
+ 0.2718490072522e-02, 0.4016011511425e+01, 0.2132990797783e+00,
+ 0.1546493974344e-02, 0.2170528330642e+01, 0.3813291813120e-01,
+ 0.8366855276341e-03, 0.2339614075294e+01, 0.7478166569050e-01,
+ 0.2936777942117e-03, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.1201317439469e-03, 0.4090736353305e+01, 0.1059381944224e+01,
+ 0.7578550887230e-04, 0.3241518088140e+01, 0.4265981595566e+00,
+ 0.1941787367773e-04, 0.1012202064330e+01, 0.2061856251104e+00,
+ 0.1889227765991e-04, 0.3892520416440e+01, 0.2204125344462e+00,
+ 0.1937896968613e-04, 0.4797779441161e+01, 0.1495633313810e+00,
+
+ 0.1434506110873e-04, 0.3868960697933e+01, 0.5225775174439e+00,
+ 0.1406659911580e-04, 0.4759766557397e+00, 0.5368044267797e+00,
+ 0.1179022300202e-04, 0.7774961520598e+00, 0.7626583626240e-01,
+ 0.8085864460959e-05, 0.3254654471465e+01, 0.3664874755930e-01,
+ 0.7622752967615e-05, 0.4227633103489e+01, 0.3961708870310e-01,
+ 0.6209171139066e-05, 0.2791828325711e+00, 0.7329749511860e-01,
+ 0.4366435633970e-05, 0.4440454875925e+01, 0.1589072916335e+01,
+ 0.3792124889348e-05, 0.5156393842356e+01, 0.7113454667900e-02,
+ 0.3154548963402e-05, 0.6157005730093e+01, 0.4194847048887e+00,
+ 0.3088359882942e-05, 0.2494567553163e+01, 0.6398972393349e+00,
+
+ 0.2788440902136e-05, 0.4934318747989e+01, 0.1102062672231e+00,
+ 0.3039928456376e-05, 0.4895077702640e+01, 0.6283075850446e+01,
+ 0.2272258457679e-05, 0.5278394064764e+01, 0.1030928125552e+00,
+ 0.2162007057957e-05, 0.5802978019099e+01, 0.3163918923335e+00,
+ 0.1767632855737e-05, 0.3415346595193e-01, 0.1021328554739e+02,
+ 0.1349413459362e-05, 0.2001643230755e+01, 0.1484170571900e-02,
+ 0.1170141900476e-05, 0.2424750491620e+01, 0.6327837846670e+00,
+ 0.1054355266820e-05, 0.3123311487576e+01, 0.4337116142245e+00,
+ 0.9800822461610e-06, 0.3026258088130e+01, 0.1052268489556e+01,
+ 0.1091203749931e-05, 0.3157811670347e+01, 0.1162474756779e+01,
+
+ 0.6960236715913e-06, 0.8219570542313e+00, 0.1066495398892e+01,
+ 0.5689257296909e-06, 0.1323052375236e+01, 0.9491756770005e+00,
+ 0.6613172135802e-06, 0.2765348881598e+00, 0.8460828644453e+00,
+ 0.6277702517571e-06, 0.5794064466382e+01, 0.1480791608091e+00,
+ 0.6304884066699e-06, 0.7323555380787e+00, 0.2243449970715e+00,
+ 0.4897850467382e-06, 0.3062464235399e+01, 0.3340612434717e+01,
+ 0.3759148598786e-06, 0.4588290469664e+01, 0.3516457698740e-01,
+ 0.3110520548195e-06, 0.1374299536572e+01, 0.6373574839730e-01,
+ 0.3064708359780e-06, 0.4222267485047e+01, 0.1104591729320e-01,
+ 0.2856347168241e-06, 0.3714202944973e+01, 0.1510475019529e+00,
+
+ 0.2840945514288e-06, 0.2847972875882e+01, 0.4110125927500e-01,
+ 0.2378951599405e-06, 0.3762072563388e+01, 0.2275259891141e+00,
+ 0.2714229481417e-06, 0.1036049980031e+01, 0.2535050500000e-01,
+ 0.2323551717307e-06, 0.4682388599076e+00, 0.8582758298370e-01,
+ 0.1881790512219e-06, 0.4790565425418e+01, 0.2118763888447e+01,
+ 0.2261353968371e-06, 0.1669144912212e+01, 0.7181332454670e-01,
+ 0.2214546389848e-06, 0.3937717281614e+01, 0.2968341143800e-02,
+ 0.2184915594933e-06, 0.1129169845099e+00, 0.7775000683430e-01,
+ 0.2000164937936e-06, 0.4030009638488e+01, 0.2093666171530e+00,
+ 0.1966105136719e-06, 0.8745955786834e+00, 0.2172315424036e+00,
+
+ 0.1904742332624e-06, 0.5919743598964e+01, 0.2022531624851e+00,
+ 0.1657399705031e-06, 0.2549141484884e+01, 0.7358765972222e+00,
+ 0.1574070533987e-06, 0.5277533020230e+01, 0.7429900518901e+00,
+ 0.1832261651039e-06, 0.3064688127777e+01, 0.3235053470014e+00,
+ 0.1733615346569e-06, 0.3011432799094e+01, 0.1385174140878e+00,
+ 0.1549124014496e-06, 0.4005569132359e+01, 0.5154640627760e+00,
+ 0.1637044713838e-06, 0.1831375966632e+01, 0.8531963191132e+00,
+ 0.1123420082383e-06, 0.1180270407578e+01, 0.1990721704425e+00,
+ 0.1083754165740e-06, 0.3414101320863e+00, 0.5439178814476e+00,
+ 0.1156638012655e-06, 0.6130479452594e+00, 0.5257585094865e+00,
+
+ 0.1142548785134e-06, 0.3724761948846e+01, 0.5336234347371e+00,
+ 0.7921463895965e-07, 0.2435425589361e+01, 0.1478866649112e+01,
+ 0.7428600285231e-07, 0.3542144398753e+01, 0.2164800718209e+00,
+ 0.8323211246747e-07, 0.3525058072354e+01, 0.1692165728891e+01,
+ 0.7257595116312e-07, 0.1364299431982e+01, 0.2101180877357e+00,
+ 0.7111185833236e-07, 0.2460478875808e+01, 0.4155522422634e+00,
+ 0.6868090383716e-07, 0.4397327670704e+01, 0.1173197218910e+00,
+ 0.7226419974175e-07, 0.4042647308905e+01, 0.1265567569334e+01,
+ 0.6955642383177e-07, 0.2865047906085e+01, 0.9562891316684e+00,
+ 0.7492139296331e-07, 0.5014278994215e+01, 0.1422690933580e-01,
+
+ 0.6598363128857e-07, 0.2376730020492e+01, 0.6470106940028e+00,
+ 0.7381147293385e-07, 0.3272990384244e+01, 0.1581959461667e+01,
+ 0.6402909624032e-07, 0.5302290955138e+01, 0.9597935788730e-01,
+ 0.6237454263857e-07, 0.5444144425332e+01, 0.7084920306520e-01,
+ 0.5241198544016e-07, 0.4215359579205e+01, 0.5265099800692e+00,
+ 0.5144463853918e-07, 0.1218916689916e+00, 0.5328719641544e+00,
+ 0.5868164772299e-07, 0.2369402002213e+01, 0.7871412831580e-01,
+ 0.6233195669151e-07, 0.1254922242403e+01, 0.2608790314060e+02,
+ 0.6068463791422e-07, 0.5679713760431e+01, 0.1114304132498e+00,
+ 0.4359361135065e-07, 0.6097219641646e+00, 0.1375773836557e+01,
+
+ 0.4686510366826e-07, 0.4786231041431e+01, 0.1143987543936e+00,
+ 0.3758977287225e-07, 0.1167368068139e+01, 0.1596186371003e+01,
+ 0.4282051974778e-07, 0.1519471064319e+01, 0.2770348281756e+00,
+ 0.5153765386113e-07, 0.1860532322984e+01, 0.2228608264996e+00,
+ 0.4575129387188e-07, 0.7632857887158e+00, 0.1465949902372e+00,
+ 0.3326844933286e-07, 0.1298219485285e+01, 0.5070101000000e-01,
+ 0.3748617450984e-07, 0.1046510321062e+01, 0.4903339079539e+00,
+ 0.2816756661499e-07, 0.3434522346190e+01, 0.2991266627620e+00,
+ 0.3412750405039e-07, 0.2523766270318e+01, 0.3518164938661e+00,
+ 0.2655796761776e-07, 0.2904422260194e+01, 0.6256703299991e+00,
+
+ 0.2963597929458e-07, 0.5923900431149e+00, 0.1099462426779e+00,
+ 0.2539523734781e-07, 0.4851947722567e+01, 0.1256615170089e+02,
+ 0.2283087914139e-07, 0.3400498595496e+01, 0.6681224869435e+01,
+ 0.2321309799331e-07, 0.5789099148673e+01, 0.3368040641550e-01,
+ 0.2549657649750e-07, 0.3991856479792e-01, 0.1169588211447e+01,
+ 0.2290462303977e-07, 0.2788567577052e+01, 0.1045155034888e+01,
+ 0.1945398522914e-07, 0.3290896998176e+01, 0.1155361302111e+01,
+ 0.1849171512638e-07, 0.2698060129367e+01, 0.4452511715700e-02,
+ 0.1647199834254e-07, 0.3016735644085e+01, 0.4408250688924e+00,
+ 0.1529530765273e-07, 0.5573043116178e+01, 0.6521991896920e-01,
+
+ 0.1433199339978e-07, 0.1481192356147e+01, 0.9420622223326e+00,
+ 0.1729134193602e-07, 0.1422817538933e+01, 0.2108507877249e+00,
+ 0.1716463931346e-07, 0.3469468901855e+01, 0.2157473718317e+00,
+ 0.1391206061378e-07, 0.6122436220547e+01, 0.4123712502208e+00,
+ 0.1404746661924e-07, 0.1647765641936e+01, 0.4258542984690e-01,
+ 0.1410452399455e-07, 0.5989729161964e+01, 0.2258291676434e+00,
+ 0.1089828772168e-07, 0.2833705509371e+01, 0.4226656969313e+00,
+ 0.1047374564948e-07, 0.5090690007331e+00, 0.3092784376656e+00,
+ 0.1358279126532e-07, 0.5128990262836e+01, 0.7923417740620e-01,
+ 0.1020456476148e-07, 0.9632772880808e+00, 0.1456308687557e+00,
+
+ 0.1033428735328e-07, 0.3223779318418e+01, 0.1795258541446e+01,
+ 0.1412435841540e-07, 0.2410271572721e+01, 0.1525316725248e+00,
+ 0.9722759371574e-08, 0.2333531395690e+01, 0.8434341241180e-01,
+ 0.9657334084704e-08, 0.6199270974168e+01, 0.1272681024002e+01,
+ 0.1083641148690e-07, 0.2864222292929e+01, 0.7032915397480e-01,
+ 0.1067318403838e-07, 0.5833458866568e+00, 0.2123349582968e+00,
+ 0.1062366201976e-07, 0.4307753989494e+01, 0.2142632012598e+00,
+ 0.1236364149266e-07, 0.2873917870593e+01, 0.1847279083684e+00,
+ 0.1092759489593e-07, 0.2959887266733e+01, 0.1370332435159e+00,
+ 0.8912069362899e-08, 0.5141213702562e+01, 0.2648454860559e+01,
+
+ 0.9656467707970e-08, 0.4532182462323e+01, 0.4376440768498e+00,
+ 0.8098386150135e-08, 0.2268906338379e+01, 0.2880807454688e+00,
+ 0.7857714675000e-08, 0.4055544260745e+01, 0.2037373330570e+00,
+ 0.7288455940646e-08, 0.5357901655142e+01, 0.1129145838217e+00,
+ 0.9450595950552e-08, 0.4264926963939e+01, 0.5272426800584e+00,
+ 0.9381718247537e-08, 0.7489366976576e-01, 0.5321392641652e+00,
+ 0.7079052646038e-08, 0.1923311052874e+01, 0.6288513220417e+00,
+ 0.9259004415344e-08, 0.2970256853438e+01, 0.1606092486742e+00,
+ 0.8259801499742e-08, 0.3327056314697e+01, 0.8389694097774e+00,
+ 0.6476334355779e-08, 0.2954925505727e+01, 0.2008557621224e+01,
+
+ 0.5984021492007e-08, 0.9138753105829e+00, 0.2042657109477e+02,
+ 0.5989546863181e-08, 0.3244464082031e+01, 0.2111650433779e+01,
+ 0.6233108606023e-08, 0.4995232638403e+00, 0.4305306221819e+00,
+ 0.6877299149965e-08, 0.2834987233449e+01, 0.9561746721300e-02,
+ 0.8311234227190e-08, 0.2202951835758e+01, 0.3801276407308e+00,
+ 0.6599472832414e-08, 0.4478581462618e+01, 0.1063314406849e+01,
+ 0.6160491096549e-08, 0.5145858696411e+01, 0.1368660381889e+01,
+ 0.6164772043891e-08, 0.3762976697911e+00, 0.4234171675140e+00,
+ 0.6363248684450e-08, 0.3162246718685e+01, 0.1253008786510e-01,
+ 0.6448587520999e-08, 0.3442693302119e+01, 0.5287268506303e+00,
+
+ 0.6431662283977e-08, 0.8977549136606e+00, 0.5306550935933e+00,
+ 0.6351223158474e-08, 0.4306447410369e+01, 0.5217580628120e+02,
+ 0.5476721393451e-08, 0.3888529177855e+01, 0.2221856701002e+01,
+ 0.5341772572619e-08, 0.2655560662512e+01, 0.7466759693650e-01,
+ 0.5337055758302e-08, 0.5164990735946e+01, 0.7489573444450e-01,
+ 0.5373120816787e-08, 0.6041214553456e+01, 0.1274714967946e+00,
+ 0.5392351705426e-08, 0.9177763485932e+00, 0.1055449481598e+01,
+ 0.6688495850205e-08, 0.3089608126937e+01, 0.2213766559277e+00,
+ 0.5072003660362e-08, 0.4311316541553e+01, 0.2132517061319e+00,
+ 0.5070726650455e-08, 0.5790675464444e+00, 0.2133464534247e+00,
+
+ 0.5658012950032e-08, 0.2703945510675e+01, 0.7287631425543e+00,
+ 0.4835509924854e-08, 0.2975422976065e+01, 0.7160067364790e-01,
+ 0.6479821978012e-08, 0.1324168733114e+01, 0.2209183458640e-01,
+ 0.6230636494980e-08, 0.2860103632836e+01, 0.3306188016693e+00,
+ 0.4649239516213e-08, 0.4832259763403e+01, 0.7796265773310e-01,
+ 0.6487325792700e-08, 0.2726165825042e+01, 0.3884652414254e+00,
+ 0.4682823682770e-08, 0.6966602455408e+00, 0.1073608853559e+01,
+ 0.5704230804976e-08, 0.5669634104606e+01, 0.8731175355560e-01,
+ 0.6125413585489e-08, 0.1513386538915e+01, 0.7605151500000e-01,
+ 0.6035825038187e-08, 0.1983509168227e+01, 0.9846002785331e+00,
+
+ 0.4331123462303e-08, 0.2782892992807e+01, 0.4297791515992e+00,
+ 0.4681107685143e-08, 0.5337232886836e+01, 0.2127790306879e+00,
+ 0.4669105829655e-08, 0.5837133792160e+01, 0.2138191288687e+00,
+ 0.5138823602365e-08, 0.3080560200507e+01, 0.7233337363710e-01,
+ 0.4615856664534e-08, 0.1661747897471e+01, 0.8603097737811e+00,
+ 0.4496916702197e-08, 0.2112508027068e+01, 0.7381754420900e-01,
+ 0.4278479042945e-08, 0.5716528462627e+01, 0.7574578717200e-01,
+ 0.3840525503932e-08, 0.6424172726492e+00, 0.3407705765729e+00,
+ 0.4866636509685e-08, 0.4919244697715e+01, 0.7722995774390e-01,
+ 0.3526100639296e-08, 0.2550821052734e+01, 0.6225157782540e-01,
+
+ 0.3939558488075e-08, 0.3939331491710e+01, 0.5268983110410e-01,
+ 0.4041268772576e-08, 0.2275337571218e+01, 0.3503323232942e+00,
+ 0.3948761842853e-08, 0.1999324200790e+01, 0.1451108196653e+00,
+ 0.3258394550029e-08, 0.9121001378200e+00, 0.5296435984654e+00,
+ 0.3257897048761e-08, 0.3428428660869e+01, 0.5297383457582e+00,
+ 0.3842559031298e-08, 0.6132927720035e+01, 0.9098186128426e+00,
+ 0.3109920095448e-08, 0.7693650193003e+00, 0.3932462625300e-02,
+ 0.3132237775119e-08, 0.3621293854908e+01, 0.2346394437820e+00,
+ 0.3942189421510e-08, 0.4841863659733e+01, 0.3180992042600e-02,
+ 0.3796972285340e-08, 0.1814174994268e+01, 0.1862120789403e+00,
+
+ 0.3995640233688e-08, 0.1386990406091e+01, 0.4549093064213e+00,
+ 0.2875013727414e-08, 0.9178318587177e+00, 0.1905464808669e+01,
+ 0.3073719932844e-08, 0.2688923811835e+01, 0.3628624111593e+00,
+ 0.2731016580075e-08, 0.1188259127584e+01, 0.2131850110243e+00,
+ 0.2729549896546e-08, 0.3702160634273e+01, 0.2134131485323e+00,
+ 0.3339372892449e-08, 0.7199163960331e+00, 0.2007689919132e+00,
+ 0.2898833764204e-08, 0.1916709364999e+01, 0.5291709230214e+00,
+ 0.2894536549362e-08, 0.2424043195547e+01, 0.5302110212022e+00,
+ 0.3096872473843e-08, 0.4445894977497e+01, 0.2976424921901e+00,
+ 0.2635672326810e-08, 0.3814366984117e+01, 0.1485980103780e+01,
+
+ 0.3649302697001e-08, 0.2924200596084e+01, 0.6044726378023e+00,
+ 0.3127954585895e-08, 0.1842251648327e+01, 0.1084620721060e+00,
+ 0.2616040173947e-08, 0.4155841921984e+01, 0.1258454114666e+01,
+ 0.2597395859860e-08, 0.1158045978874e+00, 0.2103781122809e+00,
+ 0.2593286172210e-08, 0.4771850408691e+01, 0.2162200472757e+00,
+ 0.2481823585747e-08, 0.4608842558889e+00, 0.1062562936266e+01,
+ 0.2742219550725e-08, 0.1538781127028e+01, 0.5651155736444e+00,
+ 0.3199558469610e-08, 0.3226647822878e+00, 0.7036329877322e+00,
+ 0.2666088542957e-08, 0.1967991731219e+00, 0.1400015846597e+00,
+ 0.2397067430580e-08, 0.3707036669873e+01, 0.2125476091956e+00,
+
+ 0.2376570772738e-08, 0.1182086628042e+01, 0.2140505503610e+00,
+ 0.2547228007887e-08, 0.4906256820629e+01, 0.1534957940063e+00,
+ 0.2265575594114e-08, 0.3414949866857e+01, 0.2235935264888e+00,
+ 0.2464381430585e-08, 0.4599122275378e+01, 0.2091065926078e+00,
+ 0.2433408527044e-08, 0.2830751145445e+00, 0.2174915669488e+00,
+ 0.2443605509076e-08, 0.4212046432538e+01, 0.1739420156204e+00,
+ 0.2319779262465e-08, 0.9881978408630e+00, 0.7530171478090e-01,
+ 0.2284622835465e-08, 0.5565347331588e+00, 0.7426161660010e-01,
+ 0.2467268750783e-08, 0.5655708150766e+00, 0.2526561439362e+00,
+ 0.2808513492782e-08, 0.1418405053408e+01, 0.5636314030725e+00,
+
+ 0.2329528932532e-08, 0.4069557545675e+01, 0.1056200952181e+01,
+ 0.9698639532817e-09, 0.1074134313634e+01, 0.7826370942180e+02 };
+
+/* SSB-to-Sun, T^0, Y */
+ static const double s0y[] = {
+ 0.4955392320126e-02, 0.2170467313679e+01, 0.5296909721118e+00,
+ 0.2722325167392e-02, 0.2444433682196e+01, 0.2132990797783e+00,
+ 0.1546579925346e-02, 0.5992779281546e+00, 0.3813291813120e-01,
+ 0.8363140252966e-03, 0.7687356310801e+00, 0.7478166569050e-01,
+ 0.3385792683603e-03, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.1201192221613e-03, 0.2520035601514e+01, 0.1059381944224e+01,
+ 0.7587125720554e-04, 0.1669954006449e+01, 0.4265981595566e+00,
+ 0.1964155361250e-04, 0.5707743963343e+01, 0.2061856251104e+00,
+ 0.1891900364909e-04, 0.2320960679937e+01, 0.2204125344462e+00,
+ 0.1937373433356e-04, 0.3226940689555e+01, 0.1495633313810e+00,
+
+ 0.1437139941351e-04, 0.2301626908096e+01, 0.5225775174439e+00,
+ 0.1406267683099e-04, 0.5188579265542e+01, 0.5368044267797e+00,
+ 0.1178703080346e-04, 0.5489483248476e+01, 0.7626583626240e-01,
+ 0.8079835186041e-05, 0.1683751835264e+01, 0.3664874755930e-01,
+ 0.7623253594652e-05, 0.2656400462961e+01, 0.3961708870310e-01,
+ 0.6248667483971e-05, 0.4992775362055e+01, 0.7329749511860e-01,
+ 0.4366353695038e-05, 0.2869706279678e+01, 0.1589072916335e+01,
+ 0.3829101568895e-05, 0.3572131359950e+01, 0.7113454667900e-02,
+ 0.3175733773908e-05, 0.4535372530045e+01, 0.4194847048887e+00,
+ 0.3092437902159e-05, 0.9230153317909e+00, 0.6398972393349e+00,
+
+ 0.2874168812154e-05, 0.3363143761101e+01, 0.1102062672231e+00,
+ 0.3040119321826e-05, 0.3324250895675e+01, 0.6283075850446e+01,
+ 0.2699723308006e-05, 0.2917882441928e+00, 0.1030928125552e+00,
+ 0.2134832683534e-05, 0.4220997202487e+01, 0.3163918923335e+00,
+ 0.1770412139433e-05, 0.4747318496462e+01, 0.1021328554739e+02,
+ 0.1377264209373e-05, 0.4305058462401e+00, 0.1484170571900e-02,
+ 0.1127814538960e-05, 0.8538177240740e+00, 0.6327837846670e+00,
+ 0.1055608090130e-05, 0.1551800742580e+01, 0.4337116142245e+00,
+ 0.9802673861420e-06, 0.1459646735377e+01, 0.1052268489556e+01,
+ 0.1090329461951e-05, 0.1587351228711e+01, 0.1162474756779e+01,
+
+ 0.6959590025090e-06, 0.5534442628766e+01, 0.1066495398892e+01,
+ 0.5664914529542e-06, 0.6030673003297e+01, 0.9491756770005e+00,
+ 0.6607787763599e-06, 0.4989507233927e+01, 0.8460828644453e+00,
+ 0.6269725742838e-06, 0.4222951804572e+01, 0.1480791608091e+00,
+ 0.6301889697863e-06, 0.5444316669126e+01, 0.2243449970715e+00,
+ 0.4891042662861e-06, 0.1490552839784e+01, 0.3340612434717e+01,
+ 0.3457083123290e-06, 0.3030475486049e+01, 0.3516457698740e-01,
+ 0.3032559967314e-06, 0.2652038793632e+01, 0.1104591729320e-01,
+ 0.2841133988903e-06, 0.1276744786829e+01, 0.4110125927500e-01,
+ 0.2855564444432e-06, 0.2143368674733e+01, 0.1510475019529e+00,
+
+ 0.2765157135038e-06, 0.5444186109077e+01, 0.6373574839730e-01,
+ 0.2382312465034e-06, 0.2190521137593e+01, 0.2275259891141e+00,
+ 0.2808060365077e-06, 0.5735195064841e+01, 0.2535050500000e-01,
+ 0.2332175234405e-06, 0.9481985524859e-01, 0.7181332454670e-01,
+ 0.2322488199659e-06, 0.5180499361533e+01, 0.8582758298370e-01,
+ 0.1881850258423e-06, 0.3219788273885e+01, 0.2118763888447e+01,
+ 0.2196111392808e-06, 0.2366941159761e+01, 0.2968341143800e-02,
+ 0.2183810335519e-06, 0.4825445110915e+01, 0.7775000683430e-01,
+ 0.2002733093326e-06, 0.2457148995307e+01, 0.2093666171530e+00,
+ 0.1967111767229e-06, 0.5586291545459e+01, 0.2172315424036e+00,
+
+ 0.1568473250543e-06, 0.3708003123320e+01, 0.7429900518901e+00,
+ 0.1852528314300e-06, 0.4310638151560e+01, 0.2022531624851e+00,
+ 0.1832111226447e-06, 0.1494665322656e+01, 0.3235053470014e+00,
+ 0.1746805502310e-06, 0.1451378500784e+01, 0.1385174140878e+00,
+ 0.1555730966650e-06, 0.1068040418198e+01, 0.7358765972222e+00,
+ 0.1554883462559e-06, 0.2442579035461e+01, 0.5154640627760e+00,
+ 0.1638380568746e-06, 0.2597913420625e+00, 0.8531963191132e+00,
+ 0.1159938593640e-06, 0.5834512021280e+01, 0.1990721704425e+00,
+ 0.1083427965695e-06, 0.5054033177950e+01, 0.5439178814476e+00,
+ 0.1156480369431e-06, 0.5325677432457e+01, 0.5257585094865e+00,
+
+ 0.1141308860095e-06, 0.2153403923857e+01, 0.5336234347371e+00,
+ 0.7913146470946e-07, 0.8642846847027e+00, 0.1478866649112e+01,
+ 0.7439752463733e-07, 0.1970628496213e+01, 0.2164800718209e+00,
+ 0.7280277104079e-07, 0.6073307250609e+01, 0.2101180877357e+00,
+ 0.8319567719136e-07, 0.1954371928334e+01, 0.1692165728891e+01,
+ 0.7137705549290e-07, 0.8904989440909e+00, 0.4155522422634e+00,
+ 0.6900825396225e-07, 0.2825717714977e+01, 0.1173197218910e+00,
+ 0.7245757216635e-07, 0.2481677513331e+01, 0.1265567569334e+01,
+ 0.6961165696255e-07, 0.1292955312978e+01, 0.9562891316684e+00,
+ 0.7571804456890e-07, 0.3427517575069e+01, 0.1422690933580e-01,
+
+ 0.6605425721904e-07, 0.8052192701492e+00, 0.6470106940028e+00,
+ 0.7375477357248e-07, 0.1705076390088e+01, 0.1581959461667e+01,
+ 0.7041664951470e-07, 0.4848356967891e+00, 0.9597935788730e-01,
+ 0.6322199535763e-07, 0.3878069473909e+01, 0.7084920306520e-01,
+ 0.5244380279191e-07, 0.2645560544125e+01, 0.5265099800692e+00,
+ 0.5143125704988e-07, 0.4834486101370e+01, 0.5328719641544e+00,
+ 0.5871866319373e-07, 0.7981472548900e+00, 0.7871412831580e-01,
+ 0.6300822573871e-07, 0.5979398788281e+01, 0.2608790314060e+02,
+ 0.6062154271548e-07, 0.4108655402756e+01, 0.1114304132498e+00,
+ 0.4361912339976e-07, 0.5322624319280e+01, 0.1375773836557e+01,
+
+ 0.4417005920067e-07, 0.6240817359284e+01, 0.2770348281756e+00,
+ 0.4686806749936e-07, 0.3214977301156e+01, 0.1143987543936e+00,
+ 0.3758892132305e-07, 0.5879809634765e+01, 0.1596186371003e+01,
+ 0.5151351332319e-07, 0.2893377688007e+00, 0.2228608264996e+00,
+ 0.4554683578572e-07, 0.5475427144122e+01, 0.1465949902372e+00,
+ 0.3442381385338e-07, 0.5992034796640e+01, 0.5070101000000e-01,
+ 0.2831093954933e-07, 0.5367350273914e+01, 0.3092784376656e+00,
+ 0.3756267090084e-07, 0.5758171285420e+01, 0.4903339079539e+00,
+ 0.2816374679892e-07, 0.1863718700923e+01, 0.2991266627620e+00,
+ 0.3419307025569e-07, 0.9524347534130e+00, 0.3518164938661e+00,
+
+ 0.2904250494239e-07, 0.5304471615602e+01, 0.1099462426779e+00,
+ 0.2471734511206e-07, 0.1297069793530e+01, 0.6256703299991e+00,
+ 0.2539620831872e-07, 0.3281126083375e+01, 0.1256615170089e+02,
+ 0.2281017868007e-07, 0.1829122133165e+01, 0.6681224869435e+01,
+ 0.2275319473335e-07, 0.5797198160181e+01, 0.3932462625300e-02,
+ 0.2547755368442e-07, 0.4752697708330e+01, 0.1169588211447e+01,
+ 0.2285979669317e-07, 0.1223205292886e+01, 0.1045155034888e+01,
+ 0.1913386560994e-07, 0.1757532993389e+01, 0.1155361302111e+01,
+ 0.1809020525147e-07, 0.4246116108791e+01, 0.3368040641550e-01,
+ 0.1649213300201e-07, 0.1445162890627e+01, 0.4408250688924e+00,
+
+ 0.1834972793932e-07, 0.1126917567225e+01, 0.4452511715700e-02,
+ 0.1439550648138e-07, 0.6160756834764e+01, 0.9420622223326e+00,
+ 0.1487645457041e-07, 0.4358761931792e+01, 0.4123712502208e+00,
+ 0.1731729516660e-07, 0.6134456753344e+01, 0.2108507877249e+00,
+ 0.1717747163567e-07, 0.1898186084455e+01, 0.2157473718317e+00,
+ 0.1418190430374e-07, 0.4180286741266e+01, 0.6521991896920e-01,
+ 0.1404844134873e-07, 0.7654053565412e-01, 0.4258542984690e-01,
+ 0.1409842846538e-07, 0.4418612420312e+01, 0.2258291676434e+00,
+ 0.1090948346291e-07, 0.1260615686131e+01, 0.4226656969313e+00,
+ 0.1357577323612e-07, 0.3558248818690e+01, 0.7923417740620e-01,
+
+ 0.1018154061960e-07, 0.5676087241256e+01, 0.1456308687557e+00,
+ 0.1412073972109e-07, 0.8394392632422e+00, 0.1525316725248e+00,
+ 0.1030938326496e-07, 0.1653593274064e+01, 0.1795258541446e+01,
+ 0.1180081567104e-07, 0.1285802592036e+01, 0.7032915397480e-01,
+ 0.9708510575650e-08, 0.7631889488106e+00, 0.8434341241180e-01,
+ 0.9637689663447e-08, 0.4630642649176e+01, 0.1272681024002e+01,
+ 0.1068910429389e-07, 0.5294934032165e+01, 0.2123349582968e+00,
+ 0.1063716179336e-07, 0.2736266800832e+01, 0.2142632012598e+00,
+ 0.1234858713814e-07, 0.1302891146570e+01, 0.1847279083684e+00,
+ 0.8912631189738e-08, 0.3570415993621e+01, 0.2648454860559e+01,
+
+ 0.1036378285534e-07, 0.4236693440949e+01, 0.1370332435159e+00,
+ 0.9667798501561e-08, 0.2960768892398e+01, 0.4376440768498e+00,
+ 0.8108314201902e-08, 0.6987781646841e+00, 0.2880807454688e+00,
+ 0.7648364324628e-08, 0.2499017863863e+01, 0.2037373330570e+00,
+ 0.7286136828406e-08, 0.3787426951665e+01, 0.1129145838217e+00,
+ 0.9448237743913e-08, 0.2694354332983e+01, 0.5272426800584e+00,
+ 0.9374276106428e-08, 0.4787121277064e+01, 0.5321392641652e+00,
+ 0.7100226287462e-08, 0.3530238792101e+00, 0.6288513220417e+00,
+ 0.9253056659571e-08, 0.1399478925664e+01, 0.1606092486742e+00,
+ 0.6636432145504e-08, 0.3479575438447e+01, 0.1368660381889e+01,
+
+ 0.6469975312932e-08, 0.1383669964800e+01, 0.2008557621224e+01,
+ 0.7335849729765e-08, 0.1243698166898e+01, 0.9561746721300e-02,
+ 0.8743421205855e-08, 0.3776164289301e+01, 0.3801276407308e+00,
+ 0.5993635744494e-08, 0.5627122113596e+01, 0.2042657109477e+02,
+ 0.5981008479693e-08, 0.1674336636752e+01, 0.2111650433779e+01,
+ 0.6188535145838e-08, 0.5214925208672e+01, 0.4305306221819e+00,
+ 0.6596074017566e-08, 0.2907653268124e+01, 0.1063314406849e+01,
+ 0.6630815126226e-08, 0.2127643669658e+01, 0.8389694097774e+00,
+ 0.6156772830040e-08, 0.5082160803295e+01, 0.4234171675140e+00,
+ 0.6446960563014e-08, 0.1872100916905e+01, 0.5287268506303e+00,
+
+ 0.6429324424668e-08, 0.5610276103577e+01, 0.5306550935933e+00,
+ 0.6302232396465e-08, 0.1592152049607e+01, 0.1253008786510e-01,
+ 0.6399244436159e-08, 0.2746214421532e+01, 0.5217580628120e+02,
+ 0.5474965172558e-08, 0.2317666374383e+01, 0.2221856701002e+01,
+ 0.5339293190692e-08, 0.1084724961156e+01, 0.7466759693650e-01,
+ 0.5334733683389e-08, 0.3594106067745e+01, 0.7489573444450e-01,
+ 0.5392665782110e-08, 0.5630254365606e+01, 0.1055449481598e+01,
+ 0.6682075673789e-08, 0.1518480041732e+01, 0.2213766559277e+00,
+ 0.5079130495960e-08, 0.2739765115711e+01, 0.2132517061319e+00,
+ 0.5077759793261e-08, 0.5290711290094e+01, 0.2133464534247e+00,
+
+ 0.4832037368310e-08, 0.1404473217200e+01, 0.7160067364790e-01,
+ 0.6463279674802e-08, 0.6038381695210e+01, 0.2209183458640e-01,
+ 0.6240592771560e-08, 0.1290170653666e+01, 0.3306188016693e+00,
+ 0.4672013521493e-08, 0.3261895939677e+01, 0.7796265773310e-01,
+ 0.6500650750348e-08, 0.1154522312095e+01, 0.3884652414254e+00,
+ 0.6344161389053e-08, 0.6206111545062e+01, 0.7605151500000e-01,
+ 0.4682518370646e-08, 0.5409118796685e+01, 0.1073608853559e+01,
+ 0.5329460015591e-08, 0.1202985784864e+01, 0.7287631425543e+00,
+ 0.5701588675898e-08, 0.4098715257064e+01, 0.8731175355560e-01,
+ 0.6030690867211e-08, 0.4132033218460e+00, 0.9846002785331e+00,
+
+ 0.4336256312655e-08, 0.1211415991827e+01, 0.4297791515992e+00,
+ 0.4688498808975e-08, 0.3765479072409e+01, 0.2127790306879e+00,
+ 0.4675578609335e-08, 0.4265540037226e+01, 0.2138191288687e+00,
+ 0.4225578112158e-08, 0.5237566010676e+01, 0.3407705765729e+00,
+ 0.5139422230028e-08, 0.1507173079513e+01, 0.7233337363710e-01,
+ 0.4619995093571e-08, 0.9023957449848e-01, 0.8603097737811e+00,
+ 0.4494776255461e-08, 0.5414930552139e+00, 0.7381754420900e-01,
+ 0.4274026276788e-08, 0.4145735303659e+01, 0.7574578717200e-01,
+ 0.5018141789353e-08, 0.3344408829055e+01, 0.3180992042600e-02,
+ 0.4866163952181e-08, 0.3348534657607e+01, 0.7722995774390e-01,
+
+ 0.4111986020501e-08, 0.4198823597220e+00, 0.1451108196653e+00,
+ 0.3356142784950e-08, 0.5609144747180e+01, 0.1274714967946e+00,
+ 0.4070575554551e-08, 0.7028411059224e+00, 0.3503323232942e+00,
+ 0.3257451857278e-08, 0.5624697983086e+01, 0.5296435984654e+00,
+ 0.3256973703026e-08, 0.1857842076707e+01, 0.5297383457582e+00,
+ 0.3830771508640e-08, 0.4562887279931e+01, 0.9098186128426e+00,
+ 0.3725024005962e-08, 0.2358058692652e+00, 0.1084620721060e+00,
+ 0.3136763921756e-08, 0.2049731526845e+01, 0.2346394437820e+00,
+ 0.3795147256194e-08, 0.2432356296933e+00, 0.1862120789403e+00,
+ 0.2877342229911e-08, 0.5631101279387e+01, 0.1905464808669e+01,
+
+ 0.3076931798805e-08, 0.1117615737392e+01, 0.3628624111593e+00,
+ 0.2734765945273e-08, 0.5899826516955e+01, 0.2131850110243e+00,
+ 0.2733405296885e-08, 0.2130562964070e+01, 0.2134131485323e+00,
+ 0.2898552353410e-08, 0.3462387048225e+00, 0.5291709230214e+00,
+ 0.2893736103681e-08, 0.8534352781543e+00, 0.5302110212022e+00,
+ 0.3095717734137e-08, 0.2875061429041e+01, 0.2976424921901e+00,
+ 0.2636190425832e-08, 0.2242512846659e+01, 0.1485980103780e+01,
+ 0.3645512095537e-08, 0.1354016903958e+01, 0.6044726378023e+00,
+ 0.2808173547723e-08, 0.6705114365631e-01, 0.6225157782540e-01,
+ 0.2625012866888e-08, 0.4775705748482e+01, 0.5268983110410e-01,
+
+ 0.2572233995651e-08, 0.2638924216139e+01, 0.1258454114666e+01,
+ 0.2604238824792e-08, 0.4826358927373e+01, 0.2103781122809e+00,
+ 0.2596886385239e-08, 0.3200388483118e+01, 0.2162200472757e+00,
+ 0.3228057304264e-08, 0.5384848409563e+01, 0.2007689919132e+00,
+ 0.2481601798252e-08, 0.5173373487744e+01, 0.1062562936266e+01,
+ 0.2745977498864e-08, 0.6250966149853e+01, 0.5651155736444e+00,
+ 0.2669878833811e-08, 0.4906001352499e+01, 0.1400015846597e+00,
+ 0.3203986611711e-08, 0.5034333010005e+01, 0.7036329877322e+00,
+ 0.3354961227212e-08, 0.6108262423137e+01, 0.4549093064213e+00,
+ 0.2400407324558e-08, 0.2135399294955e+01, 0.2125476091956e+00,
+
+ 0.2379905859802e-08, 0.5893721933961e+01, 0.2140505503610e+00,
+ 0.2550844302187e-08, 0.3331940762063e+01, 0.1534957940063e+00,
+ 0.2268824211001e-08, 0.1843418461035e+01, 0.2235935264888e+00,
+ 0.2464700891204e-08, 0.3029548547230e+01, 0.2091065926078e+00,
+ 0.2436814726024e-08, 0.4994717970364e+01, 0.2174915669488e+00,
+ 0.2443623894745e-08, 0.2645102591375e+01, 0.1739420156204e+00,
+ 0.2318701783838e-08, 0.5700547397897e+01, 0.7530171478090e-01,
+ 0.2284448700256e-08, 0.5268898905872e+01, 0.7426161660010e-01,
+ 0.2468848123510e-08, 0.5276280575078e+01, 0.2526561439362e+00,
+ 0.2814052350303e-08, 0.6130168623475e+01, 0.5636314030725e+00,
+
+ 0.2243662755220e-08, 0.6631692457995e+00, 0.8886590321940e-01,
+ 0.2330795855941e-08, 0.2499435487702e+01, 0.1056200952181e+01,
+ 0.9757679038404e-09, 0.5796846023126e+01, 0.7826370942180e+02 };
+
+/* SSB-to-Sun, T^0, Z */
+ static const double s0z[] = {
+ 0.1181255122986e-03, 0.4607918989164e+00, 0.2132990797783e+00,
+ 0.1127777651095e-03, 0.4169146331296e+00, 0.5296909721118e+00,
+ 0.4777754401806e-04, 0.4582657007130e+01, 0.3813291813120e-01,
+ 0.1129354285772e-04, 0.5758735142480e+01, 0.7478166569050e-01,
+ -0.1149543637123e-04, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.3298730512306e-05, 0.5978801994625e+01, 0.4265981595566e+00,
+ 0.2733376706079e-05, 0.7665413691040e+00, 0.1059381944224e+01,
+ 0.9426389657270e-06, 0.3710201265838e+01, 0.2061856251104e+00,
+ 0.8187517749552e-06, 0.3390675605802e+00, 0.2204125344462e+00,
+ 0.4080447871819e-06, 0.4552296640088e+00, 0.5225775174439e+00,
+
+ 0.3169973017028e-06, 0.3445455899321e+01, 0.5368044267797e+00,
+ 0.2438098615549e-06, 0.5664675150648e+01, 0.3664874755930e-01,
+ 0.2601897517235e-06, 0.1931894095697e+01, 0.1495633313810e+00,
+ 0.2314558080079e-06, 0.3666319115574e+00, 0.3961708870310e-01,
+ 0.1962549548002e-06, 0.3167411699020e+01, 0.7626583626240e-01,
+ 0.2180518287925e-06, 0.1544420746580e+01, 0.7113454667900e-02,
+ 0.1451382442868e-06, 0.1583756740070e+01, 0.1102062672231e+00,
+ 0.1358439007389e-06, 0.5239941758280e+01, 0.6398972393349e+00,
+ 0.1050585898028e-06, 0.2266958352859e+01, 0.3163918923335e+00,
+ 0.1050029870186e-06, 0.2711495250354e+01, 0.4194847048887e+00,
+
+ 0.9934920679800e-07, 0.1116208151396e+01, 0.1589072916335e+01,
+ 0.1048395331560e-06, 0.3408619600206e+01, 0.1021328554739e+02,
+ 0.8370147196668e-07, 0.3810459401087e+01, 0.2535050500000e-01,
+ 0.7989856510998e-07, 0.3769910473647e+01, 0.7329749511860e-01,
+ 0.5441221655233e-07, 0.2416994903374e+01, 0.1030928125552e+00,
+ 0.4610812906784e-07, 0.5858503336994e+01, 0.4337116142245e+00,
+ 0.3923022803444e-07, 0.3354170010125e+00, 0.1484170571900e-02,
+ 0.2610725582128e-07, 0.5410600646324e+01, 0.6327837846670e+00,
+ 0.2455279767721e-07, 0.6120216681403e+01, 0.1162474756779e+01,
+ 0.2375530706525e-07, 0.6055443426143e+01, 0.1052268489556e+01,
+
+ 0.1782967577553e-07, 0.3146108708004e+01, 0.8460828644453e+00,
+ 0.1581687095238e-07, 0.6255496089819e+00, 0.3340612434717e+01,
+ 0.1594657672461e-07, 0.3782604300261e+01, 0.1066495398892e+01,
+ 0.1563448615040e-07, 0.1997775733196e+01, 0.2022531624851e+00,
+ 0.1463624258525e-07, 0.1736316792088e+00, 0.3516457698740e-01,
+ 0.1331585056673e-07, 0.4331941830747e+01, 0.9491756770005e+00,
+ 0.1130634557637e-07, 0.6152017751825e+01, 0.2968341143800e-02,
+ 0.1028949607145e-07, 0.2101792614637e+00, 0.2275259891141e+00,
+ 0.1024074971618e-07, 0.4071833211074e+01, 0.5070101000000e-01,
+ 0.8826956060303e-08, 0.4861633688145e+00, 0.2093666171530e+00,
+
+ 0.8572230171541e-08, 0.5268190724302e+01, 0.4110125927500e-01,
+ 0.7649332643544e-08, 0.5134543417106e+01, 0.2608790314060e+02,
+ 0.8581673291033e-08, 0.2920218146681e+01, 0.1480791608091e+00,
+ 0.8430589300938e-08, 0.3604576619108e+01, 0.2172315424036e+00,
+ 0.7776165501012e-08, 0.3772942249792e+01, 0.6373574839730e-01,
+ 0.8311070234408e-08, 0.6200412329888e+01, 0.3235053470014e+00,
+ 0.6927365212582e-08, 0.4543353113437e+01, 0.8531963191132e+00,
+ 0.6791574208598e-08, 0.2882188406238e+01, 0.7181332454670e-01,
+ 0.5593100811839e-08, 0.1776646892780e+01, 0.7429900518901e+00,
+ 0.4553381853021e-08, 0.3949617611240e+01, 0.7775000683430e-01,
+
+ 0.5758000450068e-08, 0.3859251775075e+01, 0.1990721704425e+00,
+ 0.4281283457133e-08, 0.1466294631206e+01, 0.2118763888447e+01,
+ 0.4206935661097e-08, 0.5421776011706e+01, 0.1104591729320e-01,
+ 0.4213751641837e-08, 0.3412048993322e+01, 0.2243449970715e+00,
+ 0.5310506239878e-08, 0.5421641370995e+00, 0.5154640627760e+00,
+ 0.3827450341320e-08, 0.8887314524995e+00, 0.1510475019529e+00,
+ 0.4292435241187e-08, 0.1405043757194e+01, 0.1422690933580e-01,
+ 0.3189780702289e-08, 0.1060049293445e+01, 0.1173197218910e+00,
+ 0.3226611928069e-08, 0.6270858897442e+01, 0.2164800718209e+00,
+ 0.2893897608830e-08, 0.5117563223301e+01, 0.6470106940028e+00,
+
+ 0.3239852024578e-08, 0.4079092237983e+01, 0.2101180877357e+00,
+ 0.2956892222200e-08, 0.1594917021704e+01, 0.3092784376656e+00,
+ 0.2980177912437e-08, 0.5258787667564e+01, 0.4155522422634e+00,
+ 0.3163725690776e-08, 0.3854589225479e+01, 0.8582758298370e-01,
+ 0.2662262399118e-08, 0.3561326430187e+01, 0.5257585094865e+00,
+ 0.2766689135729e-08, 0.3180732086830e+00, 0.1385174140878e+00,
+ 0.2411600278464e-08, 0.3324798335058e+01, 0.5439178814476e+00,
+ 0.2483527695131e-08, 0.4169069291947e+00, 0.5336234347371e+00,
+ 0.7788777276590e-09, 0.1900569908215e+01, 0.5217580628120e+02 };
+
+/* SSB-to-Sun, T^1, X */
+ static const double s1x[] = {
+ -0.1296310361520e-07, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.8975769009438e-08, 0.1128891609250e+01, 0.4265981595566e+00,
+ 0.7771113441307e-08, 0.2706039877077e+01, 0.2061856251104e+00,
+ 0.7538303866642e-08, 0.2191281289498e+01, 0.2204125344462e+00,
+ 0.6061384579336e-08, 0.3248167319958e+01, 0.1059381944224e+01,
+ 0.5726994235594e-08, 0.5569981398610e+01, 0.5225775174439e+00,
+ 0.5616492836424e-08, 0.5057386614909e+01, 0.5368044267797e+00,
+ 0.1010881584769e-08, 0.3473577116095e+01, 0.7113454667900e-02,
+ 0.7259606157626e-09, 0.3651858593665e+00, 0.6398972393349e+00,
+ 0.8755095026935e-09, 0.1662835408338e+01, 0.4194847048887e+00,
+
+ 0.5370491182812e-09, 0.1327673878077e+01, 0.4337116142245e+00,
+ 0.5743773887665e-09, 0.4250200846687e+01, 0.2132990797783e+00,
+ 0.4408103140300e-09, 0.3598752574277e+01, 0.1589072916335e+01,
+ 0.3101892374445e-09, 0.4887822983319e+01, 0.1052268489556e+01,
+ 0.3209453713578e-09, 0.9702272295114e+00, 0.5296909721118e+00,
+ 0.3017228286064e-09, 0.5484462275949e+01, 0.1066495398892e+01,
+ 0.3200700038601e-09, 0.2846613338643e+01, 0.1495633313810e+00,
+ 0.2137637279911e-09, 0.5692163292729e+00, 0.3163918923335e+00,
+ 0.1899686386727e-09, 0.2061077157189e+01, 0.2275259891141e+00,
+ 0.1401994545308e-09, 0.4177771136967e+01, 0.1102062672231e+00,
+
+ 0.1578057810499e-09, 0.5782460597335e+01, 0.7626583626240e-01,
+ 0.1237713253351e-09, 0.5705900866881e+01, 0.5154640627760e+00,
+ 0.1313076837395e-09, 0.5163438179576e+01, 0.3664874755930e-01,
+ 0.1184963304860e-09, 0.3054804427242e+01, 0.6327837846670e+00,
+ 0.1238130878565e-09, 0.2317292575962e+01, 0.3961708870310e-01,
+ 0.1015959527736e-09, 0.2194643645526e+01, 0.7329749511860e-01,
+ 0.9017954423714e-10, 0.2868603545435e+01, 0.1990721704425e+00,
+ 0.8668024955603e-10, 0.4923849675082e+01, 0.5439178814476e+00,
+ 0.7756083930103e-10, 0.3014334135200e+01, 0.9491756770005e+00,
+ 0.7536503401741e-10, 0.2704886279769e+01, 0.1030928125552e+00,
+
+ 0.5483308679332e-10, 0.6010983673799e+01, 0.8531963191132e+00,
+ 0.5184339620428e-10, 0.1952704573291e+01, 0.2093666171530e+00,
+ 0.5108658712030e-10, 0.2958575786649e+01, 0.2172315424036e+00,
+ 0.5019424524650e-10, 0.1736317621318e+01, 0.2164800718209e+00,
+ 0.4909312625978e-10, 0.3167216416257e+01, 0.2101180877357e+00,
+ 0.4456638901107e-10, 0.7697579923471e+00, 0.3235053470014e+00,
+ 0.4227030350925e-10, 0.3490910137928e+01, 0.6373574839730e-01,
+ 0.4095456040093e-10, 0.5178888984491e+00, 0.6470106940028e+00,
+ 0.4990537041422e-10, 0.3323887668974e+01, 0.1422690933580e-01,
+ 0.4321170010845e-10, 0.4288484987118e+01, 0.7358765972222e+00,
+
+ 0.3544072091802e-10, 0.6021051579251e+01, 0.5265099800692e+00,
+ 0.3480198638687e-10, 0.4600027054714e+01, 0.5328719641544e+00,
+ 0.3440287244435e-10, 0.4349525970742e+01, 0.8582758298370e-01,
+ 0.3330628322713e-10, 0.2347391505082e+01, 0.1104591729320e-01,
+ 0.2973060707184e-10, 0.4789409286400e+01, 0.5257585094865e+00,
+ 0.2932606766089e-10, 0.5831693799927e+01, 0.5336234347371e+00,
+ 0.2876972310953e-10, 0.2692638514771e+01, 0.1173197218910e+00,
+ 0.2827488278556e-10, 0.2056052487960e+01, 0.2022531624851e+00,
+ 0.2515028239756e-10, 0.7411863262449e+00, 0.9597935788730e-01,
+ 0.2853033744415e-10, 0.3948481024894e+01, 0.2118763888447e+01 };
+
+/* SSB-to-Sun, T^1, Y */
+ static const double s1y[] = {
+ 0.8989047573576e-08, 0.5840593672122e+01, 0.4265981595566e+00,
+ 0.7815938401048e-08, 0.1129664707133e+01, 0.2061856251104e+00,
+ 0.7550926713280e-08, 0.6196589104845e+00, 0.2204125344462e+00,
+ 0.6056556925895e-08, 0.1677494667846e+01, 0.1059381944224e+01,
+ 0.5734142698204e-08, 0.4000920852962e+01, 0.5225775174439e+00,
+ 0.5614341822459e-08, 0.3486722577328e+01, 0.5368044267797e+00,
+ 0.1028678147656e-08, 0.1877141024787e+01, 0.7113454667900e-02,
+ 0.7270792075266e-09, 0.5077167301739e+01, 0.6398972393349e+00,
+ 0.8734141726040e-09, 0.9069550282609e-01, 0.4194847048887e+00,
+ 0.5377371402113e-09, 0.6039381844671e+01, 0.4337116142245e+00,
+
+ 0.4729719431571e-09, 0.2153086311760e+01, 0.2132990797783e+00,
+ 0.4458052820973e-09, 0.5059830025565e+01, 0.5296909721118e+00,
+ 0.4406855467908e-09, 0.2027971692630e+01, 0.1589072916335e+01,
+ 0.3101659310977e-09, 0.3317677981860e+01, 0.1052268489556e+01,
+ 0.3016749232545e-09, 0.3913703482532e+01, 0.1066495398892e+01,
+ 0.3198541352656e-09, 0.1275513098525e+01, 0.1495633313810e+00,
+ 0.2142065389871e-09, 0.5301351614597e+01, 0.3163918923335e+00,
+ 0.1902615247592e-09, 0.4894943352736e+00, 0.2275259891141e+00,
+ 0.1613410990871e-09, 0.2449891130437e+01, 0.1102062672231e+00,
+ 0.1576992165097e-09, 0.4211421447633e+01, 0.7626583626240e-01,
+
+ 0.1241637259894e-09, 0.4140803368133e+01, 0.5154640627760e+00,
+ 0.1313974830355e-09, 0.3591920305503e+01, 0.3664874755930e-01,
+ 0.1181697118258e-09, 0.1506314382788e+01, 0.6327837846670e+00,
+ 0.1238239742779e-09, 0.7461405378404e+00, 0.3961708870310e-01,
+ 0.1010107068241e-09, 0.6271010795475e+00, 0.7329749511860e-01,
+ 0.9226316616509e-10, 0.1259158839583e+01, 0.1990721704425e+00,
+ 0.8664946419555e-10, 0.3353244696934e+01, 0.5439178814476e+00,
+ 0.7757230468978e-10, 0.1447677295196e+01, 0.9491756770005e+00,
+ 0.7693168628139e-10, 0.1120509896721e+01, 0.1030928125552e+00,
+ 0.5487897454612e-10, 0.4439380426795e+01, 0.8531963191132e+00,
+
+ 0.5196118677218e-10, 0.3788856619137e+00, 0.2093666171530e+00,
+ 0.5110853339935e-10, 0.1386879372016e+01, 0.2172315424036e+00,
+ 0.5027804534813e-10, 0.1647881805466e+00, 0.2164800718209e+00,
+ 0.4922485922674e-10, 0.1594315079862e+01, 0.2101180877357e+00,
+ 0.6155599524400e-10, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.4447147832161e-10, 0.5480720918976e+01, 0.3235053470014e+00,
+ 0.4144691276422e-10, 0.1931371033660e+01, 0.6373574839730e-01,
+ 0.4099950625452e-10, 0.5229611294335e+01, 0.6470106940028e+00,
+ 0.5060541682953e-10, 0.1731112486298e+01, 0.1422690933580e-01,
+ 0.4293615946300e-10, 0.2714571038925e+01, 0.7358765972222e+00,
+
+ 0.3545659845763e-10, 0.4451041444634e+01, 0.5265099800692e+00,
+ 0.3479112041196e-10, 0.3029385448081e+01, 0.5328719641544e+00,
+ 0.3438516493570e-10, 0.2778507143731e+01, 0.8582758298370e-01,
+ 0.3297341285033e-10, 0.7898709807584e+00, 0.1104591729320e-01,
+ 0.2972585818015e-10, 0.3218785316973e+01, 0.5257585094865e+00,
+ 0.2931707295017e-10, 0.4260731012098e+01, 0.5336234347371e+00,
+ 0.2897198149403e-10, 0.1120753978101e+01, 0.1173197218910e+00,
+ 0.2832293240878e-10, 0.4597682717827e+00, 0.2022531624851e+00,
+ 0.2864348326612e-10, 0.2169939928448e+01, 0.9597935788730e-01,
+ 0.2852714675471e-10, 0.2377659870578e+01, 0.2118763888447e+01 };
+
+/* SSB-to-Sun, T^1, Z */
+ static const double s1z[] = {
+ 0.5444220475678e-08, 0.1803825509310e+01, 0.2132990797783e+00,
+ 0.3883412695596e-08, 0.4668616389392e+01, 0.5296909721118e+00,
+ 0.1334341434551e-08, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.3730001266883e-09, 0.5401405918943e+01, 0.2061856251104e+00,
+ 0.2894929197956e-09, 0.4932415609852e+01, 0.2204125344462e+00,
+ 0.2857950357701e-09, 0.3154625362131e+01, 0.7478166569050e-01,
+ 0.2499226432292e-09, 0.3657486128988e+01, 0.4265981595566e+00,
+ 0.1937705443593e-09, 0.5740434679002e+01, 0.1059381944224e+01,
+ 0.1374894396320e-09, 0.1712857366891e+01, 0.5368044267797e+00,
+ 0.1217248678408e-09, 0.2312090870932e+01, 0.5225775174439e+00,
+
+ 0.7961052740870e-10, 0.5283368554163e+01, 0.3813291813120e-01,
+ 0.4979225949689e-10, 0.4298290471860e+01, 0.4194847048887e+00,
+ 0.4388552286597e-10, 0.6145515047406e+01, 0.7113454667900e-02,
+ 0.2586835212560e-10, 0.3019448001809e+01, 0.6398972393349e+00 };
+
+/* SSB-to-Sun, T^2, X */
+ static const double s2x[] = {
+ 0.1603551636587e-11, 0.4404109410481e+01, 0.2061856251104e+00,
+ 0.1556935889384e-11, 0.4818040873603e+00, 0.2204125344462e+00,
+ 0.1182594414915e-11, 0.9935762734472e+00, 0.5225775174439e+00,
+ 0.1158794583180e-11, 0.3353180966450e+01, 0.5368044267797e+00,
+ 0.9597358943932e-12, 0.5567045358298e+01, 0.2132990797783e+00,
+ 0.6511516579605e-12, 0.5630872420788e+01, 0.4265981595566e+00,
+ 0.7419792747688e-12, 0.2156188581957e+01, 0.5296909721118e+00,
+ 0.3951972655848e-12, 0.1981022541805e+01, 0.1059381944224e+01,
+ 0.4478223877045e-12, 0.0000000000000e+00, 0.0000000000000e+00 };
+
+/* SSB-to-Sun, T^2, Y */
+ static const double s2y[] = {
+ 0.1609114495091e-11, 0.2831096993481e+01, 0.2061856251104e+00,
+ 0.1560330784946e-11, 0.5193058213906e+01, 0.2204125344462e+00,
+ 0.1183535479202e-11, 0.5707003443890e+01, 0.5225775174439e+00,
+ 0.1158183066182e-11, 0.1782400404928e+01, 0.5368044267797e+00,
+ 0.1032868027407e-11, 0.4036925452011e+01, 0.2132990797783e+00,
+ 0.6540142847741e-12, 0.4058241056717e+01, 0.4265981595566e+00,
+ 0.7305236491596e-12, 0.6175401942957e+00, 0.5296909721118e+00,
+ -0.5580725052968e-12, 0.0000000000000e+00, 0.0000000000000e+00,
+ 0.3946122651015e-12, 0.4108265279171e+00, 0.1059381944224e+01 };
+
+/* SSB-to-Sun, T^2, Z */
+ static const double s2z[] = {
+ 0.3749920358054e-12, 0.3230285558668e+01, 0.2132990797783e+00,
+ 0.2735037220939e-12, 0.6154322683046e+01, 0.5296909721118e+00 };
+
+/* Pointers to coefficient arrays, in x,y,z sets */
+ static const double *ce0[] = { e0x, e0y, e0z },
+ *ce1[] = { e1x, e1y, e1z },
+ *ce2[] = { e2x, e2y, e2z },
+ *cs0[] = { s0x, s0y, s0z },
+ *cs1[] = { s1x, s1y, s1z },
+ *cs2[] = { s2x, s2y, s2z };
+ const double *coeffs;
+
+/* Numbers of terms for each component of the model, in x,y,z sets */
+ static const int ne0[3] = {(int)(sizeof e0x / sizeof (double) / 3),
+ (int)(sizeof e0y / sizeof (double) / 3),
+ (int)(sizeof e0z / sizeof (double) / 3) },
+ ne1[3] = {(int)(sizeof e1x / sizeof (double) / 3),
+ (int)(sizeof e1y / sizeof (double) / 3),
+ (int)(sizeof e1z / sizeof (double) / 3) },
+ ne2[3] = {(int)(sizeof e2x / sizeof (double) / 3),
+ (int)(sizeof e2y / sizeof (double) / 3),
+ (int)(sizeof e2z / sizeof (double) / 3) },
+ ns0[3] = {(int)(sizeof s0x / sizeof (double) / 3),
+ (int)(sizeof s0y / sizeof (double) / 3),
+ (int)(sizeof s0z / sizeof (double) / 3) },
+ ns1[3] = {(int)(sizeof s1x / sizeof (double) / 3),
+ (int)(sizeof s1y / sizeof (double) / 3),
+ (int)(sizeof s1z / sizeof (double) / 3) },
+ ns2[3] = {(int)(sizeof s2x / sizeof (double) / 3),
+ (int)(sizeof s2y / sizeof (double) / 3),
+ (int)(sizeof s2z / sizeof (double) / 3) };
+ int nterms;
+
+/* Miscellaneous */
+ int jstat, i, j;
+ double t, t2, xyz, xyzd, a, b, c, ct, p, cp,
+ ph[3], vh[3], pb[3], vb[3], x, y, z;
+
+/* ------------------------------------------------------------------ */
+
+/* Time since reference epoch, Julian years. */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJY;
+ t2 = t*t;
+
+/* Set status. */
+ jstat = fabs(t) <= 100.0 ? 0 : 1;
+
+/* X then Y then Z. */
+ for (i = 0; i < 3; i++) {
+
+ /* Initialize position and velocity component. */
+ xyz = 0.0;
+ xyzd = 0.0;
+
+ /* ------------------------------------------------ */
+ /* Obtain component of Sun to Earth ecliptic vector */
+ /* ------------------------------------------------ */
+
+ /* Sun to Earth, T^0 terms. */
+ coeffs = ce0[i];
+ nterms = ne0[i];
+ for (j = 0; j < nterms; j++) {
+ a = *coeffs++;
+ b = *coeffs++;
+ c = *coeffs++;
+ p = b + c*t;
+ xyz += a*cos(p);
+ xyzd -= a*c*sin(p);
+ }
+
+ /* Sun to Earth, T^1 terms. */
+ coeffs = ce1[i];
+ nterms = ne1[i];
+ for (j = 0; j < nterms; j++) {
+ a = *coeffs++;
+ b = *coeffs++;
+ c = *coeffs++;
+ ct = c*t;
+ p = b + ct;
+ cp = cos(p);
+ xyz += a*t*cp;
+ xyzd += a*( cp - ct*sin(p) );
+ }
+
+ /* Sun to Earth, T^2 terms. */
+ coeffs = ce2[i];
+ nterms = ne2[i];
+ for (j = 0; j < nterms; j++) {
+ a = *coeffs++;
+ b = *coeffs++;
+ c = *coeffs++;
+ ct = c*t;
+ p = b + ct;
+ cp = cos(p);
+ xyz += a*t2*cp;
+ xyzd += a*t*( 2.0*cp - ct*sin(p) );
+ }
+
+ /* Heliocentric Earth position and velocity component. */
+ ph[i] = xyz;
+ vh[i] = xyzd / ERFA_DJY;
+
+ /* ------------------------------------------------ */
+ /* Obtain component of SSB to Earth ecliptic vector */
+ /* ------------------------------------------------ */
+
+ /* SSB to Sun, T^0 terms. */
+ coeffs = cs0[i];
+ nterms = ns0[i];
+ for (j = 0; j < nterms; j++) {
+ a = *coeffs++;
+ b = *coeffs++;
+ c = *coeffs++;
+ p = b + c*t;
+ xyz += a*cos(p);
+ xyzd -= a*c*sin(p);
+ }
+
+ /* SSB to Sun, T^1 terms. */
+ coeffs = cs1[i];
+ nterms = ns1[i];
+ for (j = 0; j < nterms; j++) {
+ a = *coeffs++;
+ b = *coeffs++;
+ c = *coeffs++;
+ ct = c*t;
+ p = b + ct;
+ cp = cos(p);
+ xyz += a*t*cp;
+ xyzd += a*(cp - ct*sin(p));
+ }
+
+ /* SSB to Sun, T^2 terms. */
+ coeffs = cs2[i];
+ nterms = ns2[i];
+ for (j = 0; j < nterms; j++) {
+ a = *coeffs++;
+ b = *coeffs++;
+ c = *coeffs++;
+ ct = c*t;
+ p = b + ct;
+ cp = cos(p);
+ xyz += a*t2*cp;
+ xyzd += a*t*(2.0*cp - ct*sin(p));
+ }
+
+ /* Barycentric Earth position and velocity component. */
+ pb[i] = xyz;
+ vb[i] = xyzd / ERFA_DJY;
+
+ /* Next Cartesian component. */
+ }
+
+/* Rotate from ecliptic to BCRS coordinates. */
+
+ x = ph[0];
+ y = ph[1];
+ z = ph[2];
+ pvh[0][0] = x + am12*y + am13*z;
+ pvh[0][1] = am21*x + am22*y + am23*z;
+ pvh[0][2] = am32*y + am33*z;
+
+ x = vh[0];
+ y = vh[1];
+ z = vh[2];
+ pvh[1][0] = x + am12*y + am13*z;
+ pvh[1][1] = am21*x + am22*y + am23*z;
+ pvh[1][2] = am32*y + am33*z;
+
+ x = pb[0];
+ y = pb[1];
+ z = pb[2];
+ pvb[0][0] = x + am12*y + am13*z;
+ pvb[0][1] = am21*x + am22*y + am23*z;
+ pvb[0][2] = am32*y + am33*z;
+
+ x = vb[0];
+ y = vb[1];
+ z = vb[2];
+ pvb[1][0] = x + am12*y + am13*z;
+ pvb[1][1] = am21*x + am22*y + am23*z;
+ pvb[1][2] = am32*y + am33*z;
+
+/* Return the status. */
+ return jstat;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/eqec06.c b/src/detail/erfa/eqec06.c
new file mode 100644
index 000000000..be61e2d9d
--- /dev/null
+++ b/src/detail/erfa/eqec06.c
@@ -0,0 +1,146 @@
+#include "erfa.h"
+
+void eraEqec06(double date1, double date2, double dr, double dd,
+ double *dl, double *db)
+/*
+** - - - - - - - - - -
+** e r a E q e c 0 6
+** - - - - - - - - - -
+**
+** Transformation from ICRS equatorial coordinates to ecliptic
+** coordinates (mean equinox and ecliptic of date) using IAU 2006
+** precession model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian date (Note 1)
+** dr,dd double ICRS right ascension and declination (radians)
+**
+** Returned:
+** dl,db double ecliptic longitude and latitude (radians)
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) No assumptions are made about whether the coordinates represent
+** starlight and embody astrometric effects such as parallax or
+** aberration.
+**
+** 3) The transformation is approximately that from mean J2000.0 right
+** ascension and declination to ecliptic longitude and latitude
+** (mean equinox and ecliptic of date), with only frame bias (always
+** less than 25 mas) to disturb this classical picture.
+**
+** Called:
+** eraS2c spherical coordinates to unit vector
+** eraEcm06 J2000.0 to ecliptic rotation matrix, IAU 2006
+** eraRxp product of r-matrix and p-vector
+** eraC2s unit vector to spherical coordinates
+** eraAnp normalize angle into range 0 to 2pi
+** eraAnpm normalize angle into range +/- pi
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rm[3][3], v1[3], v2[3], a, b;
+
+
+/* Spherical to Cartesian. */
+ eraS2c(dr, dd, v1);
+
+/* Rotation matrix, ICRS equatorial to ecliptic. */
+ eraEcm06(date1, date2, rm);
+
+/* The transformation from ICRS to ecliptic. */
+ eraRxp(rm, v1, v2);
+
+/* Cartesian to spherical. */
+ eraC2s(v2, &a, &b);
+
+/* Express in conventional ranges. */
+ *dl = eraAnp(a);
+ *db = eraAnpm(b);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/eqeq94.c b/src/detail/erfa/eqeq94.c
new file mode 100644
index 000000000..bc8699780
--- /dev/null
+++ b/src/detail/erfa/eqeq94.c
@@ -0,0 +1,146 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraEqeq94(double date1, double date2)
+/*
+** - - - - - - - - - -
+** e r a E q e q 9 4
+** - - - - - - - - - -
+**
+** Equation of the equinoxes, IAU 1994 model.
+**
+** Given:
+** date1,date2 double TDB date (Note 1)
+**
+** Returned (function value):
+** double equation of the equinoxes (Note 2)
+**
+** Notes:
+**
+** 1) The date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The result, which is in radians, operates in the following sense:
+**
+** Greenwich apparent ST = GMST + equation of the equinoxes
+**
+** Called:
+** eraAnpm normalize angle into range +/- pi
+** eraNut80 nutation, IAU 1980
+** eraObl80 mean obliquity, IAU 1980
+**
+** References:
+**
+** IAU Resolution C7, Recommendation 3 (1994).
+**
+** Capitaine, N. & Gontier, A.-M., 1993, Astron.Astrophys., 275,
+** 645-650.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t, om, dpsi, deps, eps0, ee;
+
+
+/* Interval between fundamental epoch J2000.0 and given date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* Longitude of the mean ascending node of the lunar orbit on the */
+/* ecliptic, measured from the mean equinox of date. */
+ om = eraAnpm((450160.280 + (-482890.539
+ + (7.455 + 0.008 * t) * t) * t) * ERFA_DAS2R
+ + fmod(-5.0 * t, 1.0) * ERFA_D2PI);
+
+/* Nutation components and mean obliquity. */
+ eraNut80(date1, date2, &dpsi, &deps);
+ eps0 = eraObl80(date1, date2);
+
+/* Equation of the equinoxes. */
+ ee = dpsi*cos(eps0) + ERFA_DAS2R*(0.00264*sin(om) + 0.000063*sin(om+om));
+
+ return ee;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/era00.c b/src/detail/erfa/era00.c
new file mode 100644
index 000000000..6b04814a1
--- /dev/null
+++ b/src/detail/erfa/era00.c
@@ -0,0 +1,150 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraEra00(double dj1, double dj2)
+/*
+** - - - - - - - - -
+** e r a E r a 0 0
+** - - - - - - - - -
+**
+** Earth rotation angle (IAU 2000 model).
+**
+** Given:
+** dj1,dj2 double UT1 as a 2-part Julian Date (see note)
+**
+** Returned (function value):
+** double Earth rotation angle (radians), range 0-2pi
+**
+** Notes:
+**
+** 1) The UT1 date dj1+dj2 is a Julian Date, apportioned in any
+** convenient way between the arguments dj1 and dj2. For example,
+** JD(UT1)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** dj1 dj2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 and MJD methods are good compromises
+** between resolution and convenience. The date & time method is
+** best matched to the algorithm used: maximum precision is
+** delivered when the dj1 argument is for 0hrs UT1 on the day in
+** question and the dj2 argument lies in the range 0 to 1, or vice
+** versa.
+**
+** 2) The algorithm is adapted from Expression 22 of Capitaine et al.
+** 2000. The time argument has been expressed in days directly,
+** and, to retain precision, integer contributions have been
+** eliminated. The same formulation is given in IERS Conventions
+** (2003), Chap. 5, Eq. 14.
+**
+** Called:
+** eraAnp normalize angle into range 0 to 2pi
+**
+** References:
+**
+** Capitaine N., Guinot B. and McCarthy D.D, 2000, Astron.
+** Astrophys., 355, 398-405.
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double d1, d2, t, f, theta;
+
+
+/* Days since fundamental epoch. */
+ if (dj1 < dj2) {
+ d1 = dj1;
+ d2 = dj2;
+ } else {
+ d1 = dj2;
+ d2 = dj1;
+ }
+ t = d1 + (d2- ERFA_DJ00);
+
+/* Fractional part of T (days). */
+ f = fmod(d1, 1.0) + fmod(d2, 1.0);
+
+/* Earth rotation angle at this UT1. */
+ theta = eraAnp(ERFA_D2PI * (f + 0.7790572732640
+ + 0.00273781191135448 * t));
+
+ return theta;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/erfa.h b/src/detail/erfa/erfa.h
new file mode 100644
index 000000000..7506f3ce7
--- /dev/null
+++ b/src/detail/erfa/erfa.h
@@ -0,0 +1,589 @@
+#ifndef ERFAHDEF
+#define ERFAHDEF
+
+/*
+** - - - - - - -
+** e r f a . h
+** - - - - - - -
+**
+** Prototype function declarations for ERFA library.
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+
+#include "math.h"
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/* Star-independent astrometry parameters */
+typedef struct {
+ double pmt; /* PM time interval (SSB, Julian years) */
+ double eb[3]; /* SSB to observer (vector, au) */
+ double eh[3]; /* Sun to observer (unit vector) */
+ double em; /* distance from Sun to observer (au) */
+ double v[3]; /* barycentric observer velocity (vector, c) */
+ double bm1; /* sqrt(1-|v|^2): reciprocal of Lorenz factor */
+ double bpn[3][3]; /* bias-precession-nutation matrix */
+ double along; /* longitude + s' + dERA(DUT) (radians) */
+ double phi; /* geodetic latitude (radians) */
+ double xpl; /* polar motion xp wrt local meridian (radians) */
+ double ypl; /* polar motion yp wrt local meridian (radians) */
+ double sphi; /* sine of geodetic latitude */
+ double cphi; /* cosine of geodetic latitude */
+ double diurab; /* magnitude of diurnal aberration vector */
+ double eral; /* "local" Earth rotation angle (radians) */
+ double refa; /* refraction constant A (radians) */
+ double refb; /* refraction constant B (radians) */
+} eraASTROM;
+/* (Vectors eb, eh, em and v are all with respect to BCRS axes.) */
+
+/* Body parameters for light deflection */
+typedef struct {
+ double bm; /* mass of the body (solar masses) */
+ double dl; /* deflection limiter (radians^2/2) */
+ double pv[2][3]; /* barycentric PV of the body (au, au/day) */
+} eraLDBODY;
+
+/* Astronomy/Calendars */
+int eraCal2jd(int iy, int im, int id, double *djm0, double *djm);
+double eraEpb(double dj1, double dj2);
+void eraEpb2jd(double epb, double *djm0, double *djm);
+double eraEpj(double dj1, double dj2);
+void eraEpj2jd(double epj, double *djm0, double *djm);
+int eraJd2cal(double dj1, double dj2,
+ int *iy, int *im, int *id, double *fd);
+int eraJdcalf(int ndp, double dj1, double dj2, int iymdf[4]);
+
+/* Astronomy/Astrometry */
+void eraAb(double pnat[3], double v[3], double s, double bm1,
+ double ppr[3]);
+void eraApcg(double date1, double date2,
+ double ebpv[2][3], double ehp[3],
+ eraASTROM *astrom);
+void eraApcg13(double date1, double date2, eraASTROM *astrom);
+void eraApci(double date1, double date2,
+ double ebpv[2][3], double ehp[3],
+ double x, double y, double s,
+ eraASTROM *astrom);
+void eraApci13(double date1, double date2,
+ eraASTROM *astrom, double *eo);
+void eraApco(double date1, double date2,
+ double ebpv[2][3], double ehp[3],
+ double x, double y, double s, double theta,
+ double elong, double phi, double hm,
+ double xp, double yp, double sp,
+ double refa, double refb,
+ eraASTROM *astrom);
+int eraApco13(double utc1, double utc2, double dut1,
+ double elong, double phi, double hm, double xp, double yp,
+ double phpa, double tc, double rh, double wl,
+ eraASTROM *astrom, double *eo);
+void eraApcs(double date1, double date2, double pv[2][3],
+ double ebpv[2][3], double ehp[3],
+ eraASTROM *astrom);
+void eraApcs13(double date1, double date2, double pv[2][3],
+ eraASTROM *astrom);
+void eraAper(double theta, eraASTROM *astrom);
+void eraAper13(double ut11, double ut12, eraASTROM *astrom);
+void eraApio(double sp, double theta,
+ double elong, double phi, double hm, double xp, double yp,
+ double refa, double refb,
+ eraASTROM *astrom);
+int eraApio13(double utc1, double utc2, double dut1,
+ double elong, double phi, double hm, double xp, double yp,
+ double phpa, double tc, double rh, double wl,
+ eraASTROM *astrom);
+void eraAtcc13(double rc, double dc,
+ double pr, double pd, double px, double rv,
+ double date1, double date2,
+ double *ra, double *da);
+void eraAtccq(double rc, double dc,
+ double pr, double pd, double px, double rv,
+ eraASTROM *astrom, double *ra, double *da);
+void eraAtci13(double rc, double dc,
+ double pr, double pd, double px, double rv,
+ double date1, double date2,
+ double *ri, double *di, double *eo);
+void eraAtciq(double rc, double dc, double pr, double pd,
+ double px, double rv, eraASTROM *astrom,
+ double *ri, double *di);
+void eraAtciqn(double rc, double dc, double pr, double pd,
+ double px, double rv, eraASTROM *astrom,
+ int n, eraLDBODY b[], double *ri, double *di);
+void eraAtciqz(double rc, double dc, eraASTROM *astrom,
+ double *ri, double *di);
+int eraAtco13(double rc, double dc,
+ double pr, double pd, double px, double rv,
+ double utc1, double utc2, double dut1,
+ double elong, double phi, double hm, double xp, double yp,
+ double phpa, double tc, double rh, double wl,
+ double *aob, double *zob, double *hob,
+ double *dob, double *rob, double *eo);
+void eraAtic13(double ri, double di,
+ double date1, double date2,
+ double *rc, double *dc, double *eo);
+void eraAticq(double ri, double di, eraASTROM *astrom,
+ double *rc, double *dc);
+void eraAticqn(double ri, double di, eraASTROM *astrom,
+ int n, eraLDBODY b[], double *rc, double *dc);
+int eraAtio13(double ri, double di,
+ double utc1, double utc2, double dut1,
+ double elong, double phi, double hm, double xp, double yp,
+ double phpa, double tc, double rh, double wl,
+ double *aob, double *zob, double *hob,
+ double *dob, double *rob);
+void eraAtioq(double ri, double di, eraASTROM *astrom,
+ double *aob, double *zob,
+ double *hob, double *dob, double *rob);
+int eraAtoc13(const char *type, double ob1, double ob2,
+ double utc1, double utc2, double dut1,
+ double elong, double phi, double hm, double xp, double yp,
+ double phpa, double tc, double rh, double wl,
+ double *rc, double *dc);
+int eraAtoi13(const char *type, double ob1, double ob2,
+ double utc1, double utc2, double dut1,
+ double elong, double phi, double hm, double xp, double yp,
+ double phpa, double tc, double rh, double wl,
+ double *ri, double *di);
+void eraAtoiq(const char *type,
+ double ob1, double ob2, eraASTROM *astrom,
+ double *ri, double *di);
+void eraLd(double bm, double p[3], double q[3], double e[3],
+ double em, double dlim, double p1[3]);
+void eraLdn(int n, eraLDBODY b[], double ob[3], double sc[3],
+ double sn[3]);
+void eraLdsun(double p[3], double e[3], double em, double p1[3]);
+void eraPmpx(double rc, double dc, double pr, double pd,
+ double px, double rv, double pmt, double pob[3],
+ double pco[3]);
+int eraPmsafe(double ra1, double dec1, double pmr1, double pmd1,
+ double px1, double rv1,
+ double ep1a, double ep1b, double ep2a, double ep2b,
+ double *ra2, double *dec2, double *pmr2, double *pmd2,
+ double *px2, double *rv2);
+void eraPvtob(double elong, double phi, double height, double xp,
+ double yp, double sp, double theta, double pv[2][3]);
+void eraRefco(double phpa, double tc, double rh, double wl,
+ double *refa, double *refb);
+
+/* Astronomy/Ephemerides */
+int eraEpv00(double date1, double date2,
+ double pvh[2][3], double pvb[2][3]);
+void eraMoon98(double date1, double date2, double pv[2][3]);
+int eraPlan94(double date1, double date2, int np, double pv[2][3]);
+
+/* Astronomy/FundamentalArgs */
+double eraFad03(double t);
+double eraFae03(double t);
+double eraFaf03(double t);
+double eraFaju03(double t);
+double eraFal03(double t);
+double eraFalp03(double t);
+double eraFama03(double t);
+double eraFame03(double t);
+double eraFane03(double t);
+double eraFaom03(double t);
+double eraFapa03(double t);
+double eraFasa03(double t);
+double eraFaur03(double t);
+double eraFave03(double t);
+
+/* Astronomy/PrecNutPolar */
+void eraBi00(double *dpsibi, double *depsbi, double *dra);
+void eraBp00(double date1, double date2,
+ double rb[3][3], double rp[3][3], double rbp[3][3]);
+void eraBp06(double date1, double date2,
+ double rb[3][3], double rp[3][3], double rbp[3][3]);
+void eraBpn2xy(double rbpn[3][3], double *x, double *y);
+void eraC2i00a(double date1, double date2, double rc2i[3][3]);
+void eraC2i00b(double date1, double date2, double rc2i[3][3]);
+void eraC2i06a(double date1, double date2, double rc2i[3][3]);
+void eraC2ibpn(double date1, double date2, double rbpn[3][3],
+ double rc2i[3][3]);
+void eraC2ixy(double date1, double date2, double x, double y,
+ double rc2i[3][3]);
+void eraC2ixys(double x, double y, double s, double rc2i[3][3]);
+void eraC2t00a(double tta, double ttb, double uta, double utb,
+ double xp, double yp, double rc2t[3][3]);
+void eraC2t00b(double tta, double ttb, double uta, double utb,
+ double xp, double yp, double rc2t[3][3]);
+void eraC2t06a(double tta, double ttb, double uta, double utb,
+ double xp, double yp, double rc2t[3][3]);
+void eraC2tcio(double rc2i[3][3], double era, double rpom[3][3],
+ double rc2t[3][3]);
+void eraC2teqx(double rbpn[3][3], double gst, double rpom[3][3],
+ double rc2t[3][3]);
+void eraC2tpe(double tta, double ttb, double uta, double utb,
+ double dpsi, double deps, double xp, double yp,
+ double rc2t[3][3]);
+void eraC2txy(double tta, double ttb, double uta, double utb,
+ double x, double y, double xp, double yp,
+ double rc2t[3][3]);
+double eraEo06a(double date1, double date2);
+double eraEors(double rnpb[3][3], double s);
+void eraFw2m(double gamb, double phib, double psi, double eps,
+ double r[3][3]);
+void eraFw2xy(double gamb, double phib, double psi, double eps,
+ double *x, double *y);
+void eraLtp(double epj, double rp[3][3]);
+void eraLtpb(double epj, double rpb[3][3]);
+void eraLtpecl(double epj, double vec[3]);
+void eraLtpequ(double epj, double veq[3]);
+void eraNum00a(double date1, double date2, double rmatn[3][3]);
+void eraNum00b(double date1, double date2, double rmatn[3][3]);
+void eraNum06a(double date1, double date2, double rmatn[3][3]);
+void eraNumat(double epsa, double dpsi, double deps, double rmatn[3][3]);
+void eraNut00a(double date1, double date2, double *dpsi, double *deps);
+void eraNut00b(double date1, double date2, double *dpsi, double *deps);
+void eraNut06a(double date1, double date2, double *dpsi, double *deps);
+void eraNut80(double date1, double date2, double *dpsi, double *deps);
+void eraNutm80(double date1, double date2, double rmatn[3][3]);
+double eraObl06(double date1, double date2);
+double eraObl80(double date1, double date2);
+void eraP06e(double date1, double date2,
+ double *eps0, double *psia, double *oma, double *bpa,
+ double *bqa, double *pia, double *bpia,
+ double *epsa, double *chia, double *za, double *zetaa,
+ double *thetaa, double *pa,
+ double *gam, double *phi, double *psi);
+void eraPb06(double date1, double date2,
+ double *bzeta, double *bz, double *btheta);
+void eraPfw06(double date1, double date2,
+ double *gamb, double *phib, double *psib, double *epsa);
+void eraPmat00(double date1, double date2, double rbp[3][3]);
+void eraPmat06(double date1, double date2, double rbp[3][3]);
+void eraPmat76(double date1, double date2, double rmatp[3][3]);
+void eraPn00(double date1, double date2, double dpsi, double deps,
+ double *epsa,
+ double rb[3][3], double rp[3][3], double rbp[3][3],
+ double rn[3][3], double rbpn[3][3]);
+void eraPn00a(double date1, double date2,
+ double *dpsi, double *deps, double *epsa,
+ double rb[3][3], double rp[3][3], double rbp[3][3],
+ double rn[3][3], double rbpn[3][3]);
+void eraPn00b(double date1, double date2,
+ double *dpsi, double *deps, double *epsa,
+ double rb[3][3], double rp[3][3], double rbp[3][3],
+ double rn[3][3], double rbpn[3][3]);
+void eraPn06(double date1, double date2, double dpsi, double deps,
+ double *epsa,
+ double rb[3][3], double rp[3][3], double rbp[3][3],
+ double rn[3][3], double rbpn[3][3]);
+void eraPn06a(double date1, double date2,
+ double *dpsi, double *deps, double *epsa,
+ double rb[3][3], double rp[3][3], double rbp[3][3],
+ double rn[3][3], double rbpn[3][3]);
+void eraPnm00a(double date1, double date2, double rbpn[3][3]);
+void eraPnm00b(double date1, double date2, double rbpn[3][3]);
+void eraPnm06a(double date1, double date2, double rnpb[3][3]);
+void eraPnm80(double date1, double date2, double rmatpn[3][3]);
+void eraPom00(double xp, double yp, double sp, double rpom[3][3]);
+void eraPr00(double date1, double date2,
+ double *dpsipr, double *depspr);
+void eraPrec76(double date01, double date02,
+ double date11, double date12,
+ double *zeta, double *z, double *theta);
+double eraS00(double date1, double date2, double x, double y);
+double eraS00a(double date1, double date2);
+double eraS00b(double date1, double date2);
+double eraS06(double date1, double date2, double x, double y);
+double eraS06a(double date1, double date2);
+double eraSp00(double date1, double date2);
+void eraXy06(double date1, double date2, double *x, double *y);
+void eraXys00a(double date1, double date2,
+ double *x, double *y, double *s);
+void eraXys00b(double date1, double date2,
+ double *x, double *y, double *s);
+void eraXys06a(double date1, double date2,
+ double *x, double *y, double *s);
+
+/* Astronomy/RotationAndTime */
+double eraEe00(double date1, double date2, double epsa, double dpsi);
+double eraEe00a(double date1, double date2);
+double eraEe00b(double date1, double date2);
+double eraEe06a(double date1, double date2);
+double eraEect00(double date1, double date2);
+double eraEqeq94(double date1, double date2);
+double eraEra00(double dj1, double dj2);
+double eraGmst00(double uta, double utb, double tta, double ttb);
+double eraGmst06(double uta, double utb, double tta, double ttb);
+double eraGmst82(double dj1, double dj2);
+double eraGst00a(double uta, double utb, double tta, double ttb);
+double eraGst00b(double uta, double utb);
+double eraGst06(double uta, double utb, double tta, double ttb,
+ double rnpb[3][3]);
+double eraGst06a(double uta, double utb, double tta, double ttb);
+double eraGst94(double uta, double utb);
+
+/* Astronomy/SpaceMotion */
+int eraPvstar(double pv[2][3], double *ra, double *dec,
+ double *pmr, double *pmd, double *px, double *rv);
+int eraStarpv(double ra, double dec,
+ double pmr, double pmd, double px, double rv,
+ double pv[2][3]);
+
+/* Astronomy/StarCatalogs */
+void eraFk425(double r1950, double d1950,
+ double dr1950, double dd1950,
+ double p1950, double v1950,
+ double *r2000, double *d2000,
+ double *dr2000, double *dd2000,
+ double *p2000, double *v2000);
+void eraFk45z(double r1950, double d1950, double bepoch,
+ double *r2000, double *d2000);
+void eraFk524(double r2000, double d2000,
+ double dr2000, double dd2000,
+ double p2000, double v2000,
+ double *r1950, double *d1950,
+ double *dr1950, double *dd1950,
+ double *p1950, double *v1950);
+void eraFk52h(double r5, double d5,
+ double dr5, double dd5, double px5, double rv5,
+ double *rh, double *dh,
+ double *drh, double *ddh, double *pxh, double *rvh);
+void eraFk54z(double r2000, double d2000, double bepoch,
+ double *r1950, double *d1950,
+ double *dr1950, double *dd1950);
+void eraFk5hip(double r5h[3][3], double s5h[3]);
+void eraFk5hz(double r5, double d5, double date1, double date2,
+ double *rh, double *dh);
+void eraH2fk5(double rh, double dh,
+ double drh, double ddh, double pxh, double rvh,
+ double *r5, double *d5,
+ double *dr5, double *dd5, double *px5, double *rv5);
+void eraHfk5z(double rh, double dh, double date1, double date2,
+ double *r5, double *d5, double *dr5, double *dd5);
+int eraStarpm(double ra1, double dec1,
+ double pmr1, double pmd1, double px1, double rv1,
+ double ep1a, double ep1b, double ep2a, double ep2b,
+ double *ra2, double *dec2,
+ double *pmr2, double *pmd2, double *px2, double *rv2);
+
+/* Astronomy/EclipticCoordinates */
+void eraEceq06(double date1, double date2, double dl, double db,
+ double *dr, double *dd);
+void eraEcm06(double date1, double date2, double rm[3][3]);
+void eraEqec06(double date1, double date2, double dr, double dd,
+ double *dl, double *db);
+void eraLteceq(double epj, double dl, double db, double *dr, double *dd);
+void eraLtecm(double epj, double rm[3][3]);
+void eraLteqec(double epj, double dr, double dd, double *dl, double *db);
+
+/* Astronomy/GalacticCoordinates */
+void eraG2icrs(double dl, double db, double *dr, double *dd);
+void eraIcrs2g(double dr, double dd, double *dl, double *db);
+
+/* Astronomy/GeodeticGeocentric */
+int eraEform(int n, double *a, double *f);
+int eraGc2gd(int n, double xyz[3],
+ double *elong, double *phi, double *height);
+int eraGc2gde(double a, double f, double xyz[3],
+ double *elong, double *phi, double *height);
+int eraGd2gc(int n, double elong, double phi, double height,
+ double xyz[3]);
+int eraGd2gce(double a, double f,
+ double elong, double phi, double height, double xyz[3]);
+
+/* Astronomy/Timescales */
+int eraD2dtf(const char *scale, int ndp, double d1, double d2,
+ int *iy, int *im, int *id, int ihmsf[4]);
+int eraDat(int iy, int im, int id, double fd, double *deltat);
+double eraDtdb(double date1, double date2,
+ double ut, double elong, double u, double v);
+int eraDtf2d(const char *scale, int iy, int im, int id,
+ int ihr, int imn, double sec, double *d1, double *d2);
+int eraTaitt(double tai1, double tai2, double *tt1, double *tt2);
+int eraTaiut1(double tai1, double tai2, double dta,
+ double *ut11, double *ut12);
+int eraTaiutc(double tai1, double tai2, double *utc1, double *utc2);
+int eraTcbtdb(double tcb1, double tcb2, double *tdb1, double *tdb2);
+int eraTcgtt(double tcg1, double tcg2, double *tt1, double *tt2);
+int eraTdbtcb(double tdb1, double tdb2, double *tcb1, double *tcb2);
+int eraTdbtt(double tdb1, double tdb2, double dtr,
+ double *tt1, double *tt2);
+int eraTttai(double tt1, double tt2, double *tai1, double *tai2);
+int eraTttcg(double tt1, double tt2, double *tcg1, double *tcg2);
+int eraTttdb(double tt1, double tt2, double dtr,
+ double *tdb1, double *tdb2);
+int eraTtut1(double tt1, double tt2, double dt,
+ double *ut11, double *ut12);
+int eraUt1tai(double ut11, double ut12, double dta,
+ double *tai1, double *tai2);
+int eraUt1tt(double ut11, double ut12, double dt,
+ double *tt1, double *tt2);
+int eraUt1utc(double ut11, double ut12, double dut1,
+ double *utc1, double *utc2);
+int eraUtctai(double utc1, double utc2, double *tai1, double *tai2);
+int eraUtcut1(double utc1, double utc2, double dut1,
+ double *ut11, double *ut12);
+
+/* Astronomy/HorizonEquatorial */
+void eraAe2hd(double az, double el, double phi,
+ double *ha, double *dec);
+void eraHd2ae(double ha, double dec, double phi,
+ double *az, double *el);
+double eraHd2pa(double ha, double dec, double phi);
+
+/* Astronomy/Gnomonic */
+int eraTpors(double xi, double eta, double a, double b,
+ double *a01, double *b01, double *a02, double *b02);
+int eraTporv(double xi, double eta, double v[3],
+ double v01[3], double v02[3]);
+void eraTpsts(double xi, double eta, double a0, double b0,
+ double *a, double *b);
+void eraTpstv(double xi, double eta, double v0[3], double v[3]);
+int eraTpxes(double a, double b, double a0, double b0,
+ double *xi, double *eta);
+int eraTpxev(double v[3], double v0[3], double *xi, double *eta);
+
+/* VectorMatrix/AngleOps */
+void eraA2af(int ndp, double angle, char *sign, int idmsf[4]);
+void eraA2tf(int ndp, double angle, char *sign, int ihmsf[4]);
+int eraAf2a(char s, int ideg, int iamin, double asec, double *rad);
+double eraAnp(double a);
+double eraAnpm(double a);
+void eraD2tf(int ndp, double days, char *sign, int ihmsf[4]);
+int eraTf2a(char s, int ihour, int imin, double sec, double *rad);
+int eraTf2d(char s, int ihour, int imin, double sec, double *days);
+
+/* VectorMatrix/BuildRotations */
+void eraRx(double phi, double r[3][3]);
+void eraRy(double theta, double r[3][3]);
+void eraRz(double psi, double r[3][3]);
+
+/* VectorMatrix/CopyExtendExtract */
+void eraCp(double p[3], double c[3]);
+void eraCpv(double pv[2][3], double c[2][3]);
+void eraCr(double r[3][3], double c[3][3]);
+void eraP2pv(double p[3], double pv[2][3]);
+void eraPv2p(double pv[2][3], double p[3]);
+
+/* VectorMatrix/Initialization */
+void eraIr(double r[3][3]);
+void eraZp(double p[3]);
+void eraZpv(double pv[2][3]);
+void eraZr(double r[3][3]);
+
+/* VectorMatrix/MatrixOps */
+void eraRxr(double a[3][3], double b[3][3], double atb[3][3]);
+void eraTr(double r[3][3], double rt[3][3]);
+
+/* VectorMatrix/MatrixVectorProducts */
+void eraRxp(double r[3][3], double p[3], double rp[3]);
+void eraRxpv(double r[3][3], double pv[2][3], double rpv[2][3]);
+void eraTrxp(double r[3][3], double p[3], double trp[3]);
+void eraTrxpv(double r[3][3], double pv[2][3], double trpv[2][3]);
+
+/* VectorMatrix/RotationVectors */
+void eraRm2v(double r[3][3], double w[3]);
+void eraRv2m(double w[3], double r[3][3]);
+
+/* VectorMatrix/SeparationAndAngle */
+double eraPap(double a[3], double b[3]);
+double eraPas(double al, double ap, double bl, double bp);
+double eraSepp(double a[3], double b[3]);
+double eraSeps(double al, double ap, double bl, double bp);
+
+/* VectorMatrix/SphericalCartesian */
+void eraC2s(double p[3], double *theta, double *phi);
+void eraP2s(double p[3], double *theta, double *phi, double *r);
+void eraPv2s(double pv[2][3],
+ double *theta, double *phi, double *r,
+ double *td, double *pd, double *rd);
+void eraS2c(double theta, double phi, double c[3]);
+void eraS2p(double theta, double phi, double r, double p[3]);
+void eraS2pv(double theta, double phi, double r,
+ double td, double pd, double rd,
+ double pv[2][3]);
+
+/* VectorMatrix/VectorOps */
+double eraPdp(double a[3], double b[3]);
+double eraPm(double p[3]);
+void eraPmp(double a[3], double b[3], double amb[3]);
+void eraPn(double p[3], double *r, double u[3]);
+void eraPpp(double a[3], double b[3], double apb[3]);
+void eraPpsp(double a[3], double s, double b[3], double apsb[3]);
+void eraPvdpv(double a[2][3], double b[2][3], double adb[2]);
+void eraPvm(double pv[2][3], double *r, double *s);
+void eraPvmpv(double a[2][3], double b[2][3], double amb[2][3]);
+void eraPvppv(double a[2][3], double b[2][3], double apb[2][3]);
+void eraPvu(double dt, double pv[2][3], double upv[2][3]);
+void eraPvup(double dt, double pv[2][3], double p[3]);
+void eraPvxpv(double a[2][3], double b[2][3], double axb[2][3]);
+void eraPxp(double a[3], double b[3], double axb[3]);
+void eraS2xpv(double s1, double s2, double pv[2][3], double spv[2][3]);
+void eraSxp(double s, double p[3], double sp[3]);
+void eraSxpv(double s, double pv[2][3], double spv[2][3]);
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif
+
+
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/erfadatextra.c b/src/detail/erfa/erfadatextra.c
new file mode 100644
index 000000000..f70400c51
--- /dev/null
+++ b/src/detail/erfa/erfadatextra.c
@@ -0,0 +1,93 @@
+/*
+** Copyright (C) 2019, NumFOCUS Foundation.
+**
+** Licensed under a 3-clause BSD style license - see LICENSE
+**
+** This file is NOT derived from SOFA sources.
+**
+** The eraGetLeapSeconds and eraSetLeapSeconds functions are used as an
+** experimental interface for getting and setting the leap second table in
+** astropy 4.0. They will be supported as long as astropy 4.0 is supported
+** (until 2021), but not necessarily beyond. Comments and ideas about the
+** best way to keep the leap second tables up to date for all users of erfa
+** are welcome (https://github.com/liberfa/erfa).
+**
+** The eraDatini function is used internally in dat.c; it is strictly an
+** implementation detail and should not be used elsewhere.
+*/
+#include "erfa.h"
+#include "erfaextra.h"
+
+static eraLEAPSECOND *changes;
+static int NDAT = -1;
+
+
+int eraGetLeapSeconds(eraLEAPSECOND **leapseconds)
+/*
+** Get the current leap second table.
+**
+** Returned:
+** leapseconds eraLEAPSECOND* Array of year, month, TAI minus UTC
+**
+** Returned (function value):
+** int NDAT Number of entries/status
+** >0 = number of entries
+** -1 = internal error
+*/
+{
+ if (NDAT <= 0) {
+ double delat;
+ int stat = eraDat(2000, 1, 1, 0., &delat);
+ if (stat != 0 || NDAT <= 0) {
+ return -1;
+ }
+ }
+ *leapseconds = changes;
+ return NDAT;
+}
+
+void eraSetLeapSeconds(eraLEAPSECOND *leapseconds, int count)
+/*
+** Set the current leap second table.
+**
+** Given:
+** leapseconds eraLEAPSECOND* Array of year, month, TAI minus UTC
+** count int Number of entries. If <= 0, causes
+** a reset of the table to the built-in
+** version.
+**
+** Notes:
+** *No* sanity checks are performed.
+*/
+{
+ changes = leapseconds;
+ NDAT = count;
+}
+
+int eraDatini(const eraLEAPSECOND *builtin, int n_builtin,
+ eraLEAPSECOND **leapseconds)
+/*
+** Get the leap second table, initializing it to the built-in version
+** if necessary.
+**
+** This function is for internal use in dat.c only and should
+** not be used elsewhere.
+**
+** Given:
+** builtin eraLEAPSECOND Array of year, month, TAI minus UTC
+** n_builtin int Number of entries of the table.
+**
+** Returned:
+** leapseconds eraLEAPSECOND* Current array, set to the builtin one
+** if not yet initialized.
+**
+** Returned (function value):
+** int NDAT Number of entries
+*/
+{
+ if (NDAT <= 0) {
+ eraSetLeapSeconds((eraLEAPSECOND *)builtin, n_builtin);
+ }
+ *leapseconds = changes;
+ return NDAT;
+}
diff --git a/src/detail/erfa/erfadatextra.h b/src/detail/erfa/erfadatextra.h
new file mode 100644
index 000000000..afea18b96
--- /dev/null
+++ b/src/detail/erfa/erfadatextra.h
@@ -0,0 +1,26 @@
+/*
+** Copyright (C) 2019, NumFOCUS Foundation.
+**
+** Licensed under a 3-clause BSD style license - see LICENSE
+**
+** This file is NOT derived from SOFA sources.
+**
+*/
+
+
+#ifndef _ERFA_DAT_EXTRA_H
+#define _ERFA_DAT_EXTRA_H
+
+#include "erfaextra.h"
+
+/*
+** Get the leap second table, initializing it to the built-in version
+** if necessary.
+**
+** This function is for internal use in dat.c only and should
+** not be used elsewhere.
+*/
+int eraDatini(const eraLEAPSECOND *builtin, int n_builtin,
+ eraLEAPSECOND **leapseconds);
+
+#endif
diff --git a/src/detail/erfa/erfaextra.h b/src/detail/erfa/erfaextra.h
new file mode 100644
index 000000000..80beee35d
--- /dev/null
+++ b/src/detail/erfa/erfaextra.h
@@ -0,0 +1,81 @@
+/*
+** Copyright (C) 2016-2019, NumFOCUS Foundation.
+**
+** Licensed under a 3-clause BSD style license - see LICENSE
+**
+** This file is NOT derived from SOFA sources.
+**
+** The functions here provide an interface to ERFA and SOFA version
+** information, and for updating the leap second table.
+**
+** The eraGetLeapSeconds and eraSetLeapSeconds functions are used as an
+** experimental interface for getting and setting the leap second table
+** starting in astropy 4.0. They will be supported as long as needed for
+** astropy. Comments and ideas about the best way to keep the leap
+** second tables up to date for all users of erfa are welcome
+** (https://github.com/liberfa/erfa).
+**
+*/
+
+
+#ifndef _ERFA_EXTRA_H
+#define _ERFA_EXTRA_H
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+
+/*
+** Returns the package version
+** as defined in configure.ac
+** in string format
+*/
+const char* eraVersion(void);
+
+/*
+** Returns the package major version
+** as defined in configure.ac
+** as integer
+*/
+int eraVersionMajor(void);
+
+/*
+** Returns the package minor version
+** as defined in configure.ac
+** as integer
+*/
+int eraVersionMinor(void);
+
+/*
+** Returns the package micro version
+** as defined in configure.ac
+** as integer
+*/
+int eraVersionMicro(void);
+
+/*
+** Returns the orresponding SOFA version
+** as defined in configure.ac
+** in string format
+*/
+const char* eraSofaVersion(void);
+
+
+/*
+** Get and set leap seconds (not supported by SOFA; EXPERIMENTAL)
+*/
+
+typedef struct {
+ int iyear, month;
+ double delat;
+} eraLEAPSECOND;
+
+int eraGetLeapSeconds(eraLEAPSECOND **leapseconds);
+void eraSetLeapSeconds(eraLEAPSECOND *leapseconds, int count);
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* _ERFA_EXTRA_H */
diff --git a/src/detail/erfa/erfam.h b/src/detail/erfa/erfam.h
new file mode 100644
index 000000000..ee86b215b
--- /dev/null
+++ b/src/detail/erfa/erfam.h
@@ -0,0 +1,180 @@
+#ifndef ERFAMHDEF
+#define ERFAMHDEF
+
+/*
+** - - - - - - - -
+** e r f a m . h
+** - - - - - - - -
+**
+** Macros used by ERFA library.
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+
+/* Pi */
+#define ERFA_DPI (3.141592653589793238462643)
+
+/* 2Pi */
+#define ERFA_D2PI (6.283185307179586476925287)
+
+/* Radians to degrees */
+#define ERFA_DR2D (57.29577951308232087679815)
+
+/* Degrees to radians */
+#define ERFA_DD2R (1.745329251994329576923691e-2)
+
+/* Radians to arcseconds */
+#define ERFA_DR2AS (206264.8062470963551564734)
+
+/* Arcseconds to radians */
+#define ERFA_DAS2R (4.848136811095359935899141e-6)
+
+/* Seconds of time to radians */
+#define ERFA_DS2R (7.272205216643039903848712e-5)
+
+/* Arcseconds in a full circle */
+#define ERFA_TURNAS (1296000.0)
+
+/* Milliarcseconds to radians */
+#define ERFA_DMAS2R (ERFA_DAS2R / 1e3)
+
+/* Length of tropical year B1900 (days) */
+#define ERFA_DTY (365.242198781)
+
+/* Seconds per day. */
+#define ERFA_DAYSEC (86400.0)
+
+/* Days per Julian year */
+#define ERFA_DJY (365.25)
+
+/* Days per Julian century */
+#define ERFA_DJC (36525.0)
+
+/* Days per Julian millennium */
+#define ERFA_DJM (365250.0)
+
+/* Reference epoch (J2000.0), Julian Date */
+#define ERFA_DJ00 (2451545.0)
+
+/* Julian Date of Modified Julian Date zero */
+#define ERFA_DJM0 (2400000.5)
+
+/* Reference epoch (J2000.0), Modified Julian Date */
+#define ERFA_DJM00 (51544.5)
+
+/* 1977 Jan 1.0 as MJD */
+#define ERFA_DJM77 (43144.0)
+
+/* TT minus TAI (s) */
+#define ERFA_TTMTAI (32.184)
+
+/* Astronomical unit (m, IAU 2012) */
+#define ERFA_DAU (149597870.7e3)
+
+/* Speed of light (m/s) */
+#define ERFA_CMPS 299792458.0
+
+/* Light time for 1 au (s) */
+#define ERFA_AULT (ERFA_DAU/ERFA_CMPS)
+
+/* Speed of light (au per day) */
+#define ERFA_DC (ERFA_DAYSEC/ERFA_AULT)
+
+/* L_G = 1 - d(TT)/d(TCG) */
+#define ERFA_ELG (6.969290134e-10)
+
+/* L_B = 1 - d(TDB)/d(TCB), and TDB (s) at TAI 1977/1/1.0 */
+#define ERFA_ELB (1.550519768e-8)
+#define ERFA_TDB0 (-6.55e-5)
+
+/* Schwarzschild radius of the Sun (au) */
+/* = 2 * 1.32712440041e20 / (2.99792458e8)^2 / 1.49597870700e11 */
+#define ERFA_SRS 1.97412574336e-8
+
+/* ERFA_DINT(A) - truncate to nearest whole number towards zero (double) */
+#define ERFA_DINT(A) ((A)<0.0?ceil(A):floor(A))
+
+/* ERFA_DNINT(A) - round to nearest whole number (double) */
+#define ERFA_DNINT(A) (fabs(A)<0.5?0.0\
+ :((A)<0.0?ceil((A)-0.5):floor((A)+0.5)))
+
+/* ERFA_DSIGN(A,B) - magnitude of A with sign of B (double) */
+#define ERFA_DSIGN(A,B) ((B)<0.0?-fabs(A):fabs(A))
+
+/* max(A,B) - larger (most +ve) of two numbers (generic) */
+#define ERFA_GMAX(A,B) (((A)>(B))?(A):(B))
+
+/* min(A,B) - smaller (least +ve) of two numbers (generic) */
+#define ERFA_GMIN(A,B) (((A)<(B))?(A):(B))
+
+/* Reference ellipsoids */
+#define ERFA_WGS84 1
+#define ERFA_GRS80 2
+#define ERFA_WGS72 3
+
+#endif
+
+
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/erfaversion.c b/src/detail/erfa/erfaversion.c
new file mode 100644
index 000000000..8a83cf655
--- /dev/null
+++ b/src/detail/erfa/erfaversion.c
@@ -0,0 +1,42 @@
+/*
+** Copyright (C) 2016-2017, NumFOCUS Foundation.
+**
+** Licensed under a 3-clause BSD style license - see LICENSE
+**
+** This file is NOT derived from SOFA sources
+*/
+
+/*
+ * config.h defines the version information macros;
+ * it is auto-generated in the autotools build process.
+ * without it, the macros have to be defined explicitly
+ * in the call to the compiler.
+ */
+#ifdef HAVE_CONFIG_H
+#include <config.h>
+#endif /* HAVE_CONFIG_H */
+
+
+const char* eraVersion(void) {
+ return PACKAGE_VERSION;
+}
+
+
+int eraVersionMajor(void) {
+ return PACKAGE_VERSION_MAJOR;
+}
+
+
+int eraVersionMinor(void) {
+ return PACKAGE_VERSION_MINOR;
+}
+
+
+int eraVersionMicro(void) {
+ return PACKAGE_VERSION_MICRO;
+}
+
+
+const char* eraSofaVersion(void) {
+ return SOFA_VERSION;
+}
diff --git a/src/detail/erfa/fad03.c b/src/detail/erfa/fad03.c
new file mode 100644
index 000000000..28034f5e8
--- /dev/null
+++ b/src/detail/erfa/fad03.c
@@ -0,0 +1,117 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraFad03(double t)
+/*
+** - - - - - - - - -
+** e r a F a d 0 3
+** - - - - - - - - -
+**
+** Fundamental argument, IERS Conventions (2003):
+** mean elongation of the Moon from the Sun.
+**
+** Given:
+** t double TDB, Julian centuries since J2000.0 (Note 1)
+**
+** Returned (function value):
+** double D, radians (Note 2)
+**
+** Notes:
+**
+** 1) Though t is strictly TDB, it is usually more convenient to use
+** TT, which makes no significant difference.
+**
+** 2) The expression used is as adopted in IERS Conventions (2003) and
+** is from Simon et al. (1994).
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double a;
+
+
+/* Mean elongation of the Moon from the Sun (IERS Conventions 2003). */
+ a = fmod( 1072260.703692 +
+ t * ( 1602961601.2090 +
+ t * ( - 6.3706 +
+ t * ( 0.006593 +
+ t * ( - 0.00003169 ) ) ) ), ERFA_TURNAS ) * ERFA_DAS2R;
+
+ return a;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fae03.c b/src/detail/erfa/fae03.c
new file mode 100644
index 000000000..f21f83e05
--- /dev/null
+++ b/src/detail/erfa/fae03.c
@@ -0,0 +1,116 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraFae03(double t)
+/*
+** - - - - - - - - -
+** e r a F a e 0 3
+** - - - - - - - - -
+**
+** Fundamental argument, IERS Conventions (2003):
+** mean longitude of Earth.
+**
+** Given:
+** t double TDB, Julian centuries since J2000.0 (Note 1)
+**
+** Returned (function value):
+** double mean longitude of Earth, radians (Note 2)
+**
+** Notes:
+**
+** 1) Though t is strictly TDB, it is usually more convenient to use
+** TT, which makes no significant difference.
+**
+** 2) The expression used is as adopted in IERS Conventions (2003) and
+** comes from Souchay et al. (1999) after Simon et al. (1994).
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
+**
+** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
+** Astron.Astrophys.Supp.Ser. 135, 111
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double a;
+
+
+/* Mean longitude of Earth (IERS Conventions 2003). */
+ a = fmod(1.753470314 + 628.3075849991 * t, ERFA_D2PI);
+
+ return a;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/faf03.c b/src/detail/erfa/faf03.c
new file mode 100644
index 000000000..730397ed8
--- /dev/null
+++ b/src/detail/erfa/faf03.c
@@ -0,0 +1,119 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraFaf03(double t)
+/*
+** - - - - - - - - -
+** e r a F a f 0 3
+** - - - - - - - - -
+**
+** Fundamental argument, IERS Conventions (2003):
+** mean longitude of the Moon minus mean longitude of the ascending
+** node.
+**
+** Given:
+** t double TDB, Julian centuries since J2000.0 (Note 1)
+**
+** Returned (function value):
+** double F, radians (Note 2)
+**
+** Notes:
+**
+** 1) Though t is strictly TDB, it is usually more convenient to use
+** TT, which makes no significant difference.
+**
+** 2) The expression used is as adopted in IERS Conventions (2003) and
+** is from Simon et al. (1994).
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double a;
+
+
+/* Mean longitude of the Moon minus that of the ascending node */
+/* (IERS Conventions 2003). */
+ a = fmod( 335779.526232 +
+ t * ( 1739527262.8478 +
+ t * ( - 12.7512 +
+ t * ( - 0.001037 +
+ t * ( 0.00000417 ) ) ) ), ERFA_TURNAS ) * ERFA_DAS2R;
+
+ return a;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/faju03.c b/src/detail/erfa/faju03.c
new file mode 100644
index 000000000..4b6b4a38b
--- /dev/null
+++ b/src/detail/erfa/faju03.c
@@ -0,0 +1,116 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraFaju03(double t)
+/*
+** - - - - - - - - - -
+** e r a F a j u 0 3
+** - - - - - - - - - -
+**
+** Fundamental argument, IERS Conventions (2003):
+** mean longitude of Jupiter.
+**
+** Given:
+** t double TDB, Julian centuries since J2000.0 (Note 1)
+**
+** Returned (function value):
+** double mean longitude of Jupiter, radians (Note 2)
+**
+** Notes:
+**
+** 1) Though t is strictly TDB, it is usually more convenient to use
+** TT, which makes no significant difference.
+**
+** 2) The expression used is as adopted in IERS Conventions (2003) and
+** comes from Souchay et al. (1999) after Simon et al. (1994).
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
+**
+** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
+** Astron.Astrophys.Supp.Ser. 135, 111
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double a;
+
+
+/* Mean longitude of Jupiter (IERS Conventions 2003). */
+ a = fmod(0.599546497 + 52.9690962641 * t, ERFA_D2PI);
+
+ return a;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fal03.c b/src/detail/erfa/fal03.c
new file mode 100644
index 000000000..f18ca3ae2
--- /dev/null
+++ b/src/detail/erfa/fal03.c
@@ -0,0 +1,117 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraFal03(double t)
+/*
+** - - - - - - - - -
+** e r a F a l 0 3
+** - - - - - - - - -
+**
+** Fundamental argument, IERS Conventions (2003):
+** mean anomaly of the Moon.
+**
+** Given:
+** t double TDB, Julian centuries since J2000.0 (Note 1)
+**
+** Returned (function value):
+** double l, radians (Note 2)
+**
+** Notes:
+**
+** 1) Though t is strictly TDB, it is usually more convenient to use
+** TT, which makes no significant difference.
+**
+** 2) The expression used is as adopted in IERS Conventions (2003) and
+** is from Simon et al. (1994).
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double a;
+
+
+/* Mean anomaly of the Moon (IERS Conventions 2003). */
+ a = fmod( 485868.249036 +
+ t * ( 1717915923.2178 +
+ t * ( 31.8792 +
+ t * ( 0.051635 +
+ t * ( - 0.00024470 ) ) ) ), ERFA_TURNAS ) * ERFA_DAS2R;
+
+ return a;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/falp03.c b/src/detail/erfa/falp03.c
new file mode 100644
index 000000000..7dfa30796
--- /dev/null
+++ b/src/detail/erfa/falp03.c
@@ -0,0 +1,117 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraFalp03(double t)
+/*
+** - - - - - - - - - -
+** e r a F a l p 0 3
+** - - - - - - - - - -
+**
+** Fundamental argument, IERS Conventions (2003):
+** mean anomaly of the Sun.
+**
+** Given:
+** t double TDB, Julian centuries since J2000.0 (Note 1)
+**
+** Returned (function value):
+** double l', radians (Note 2)
+**
+** Notes:
+**
+** 1) Though t is strictly TDB, it is usually more convenient to use
+** TT, which makes no significant difference.
+**
+** 2) The expression used is as adopted in IERS Conventions (2003) and
+** is from Simon et al. (1994).
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double a;
+
+
+/* Mean anomaly of the Sun (IERS Conventions 2003). */
+ a = fmod( 1287104.793048 +
+ t * ( 129596581.0481 +
+ t * ( - 0.5532 +
+ t * ( 0.000136 +
+ t * ( - 0.00001149 ) ) ) ), ERFA_TURNAS ) * ERFA_DAS2R;
+
+ return a;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fama03.c b/src/detail/erfa/fama03.c
new file mode 100644
index 000000000..e9148f536
--- /dev/null
+++ b/src/detail/erfa/fama03.c
@@ -0,0 +1,116 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraFama03(double t)
+/*
+** - - - - - - - - - -
+** e r a F a m a 0 3
+** - - - - - - - - - -
+**
+** Fundamental argument, IERS Conventions (2003):
+** mean longitude of Mars.
+**
+** Given:
+** t double TDB, Julian centuries since J2000.0 (Note 1)
+**
+** Returned (function value):
+** double mean longitude of Mars, radians (Note 2)
+**
+** Notes:
+**
+** 1) Though t is strictly TDB, it is usually more convenient to use
+** TT, which makes no significant difference.
+**
+** 2) The expression used is as adopted in IERS Conventions (2003) and
+** comes from Souchay et al. (1999) after Simon et al. (1994).
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
+**
+** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
+** Astron.Astrophys.Supp.Ser. 135, 111
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double a;
+
+
+/* Mean longitude of Mars (IERS Conventions 2003). */
+ a = fmod(6.203480913 + 334.0612426700 * t, ERFA_D2PI);
+
+ return a;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fame03.c b/src/detail/erfa/fame03.c
new file mode 100644
index 000000000..582623acf
--- /dev/null
+++ b/src/detail/erfa/fame03.c
@@ -0,0 +1,116 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraFame03(double t)
+/*
+** - - - - - - - - - -
+** e r a F a m e 0 3
+** - - - - - - - - - -
+**
+** Fundamental argument, IERS Conventions (2003):
+** mean longitude of Mercury.
+**
+** Given:
+** t double TDB, Julian centuries since J2000.0 (Note 1)
+**
+** Returned (function value):
+** double mean longitude of Mercury, radians (Note 2)
+**
+** Notes:
+**
+** 1) Though t is strictly TDB, it is usually more convenient to use
+** TT, which makes no significant difference.
+**
+** 2) The expression used is as adopted in IERS Conventions (2003) and
+** comes from Souchay et al. (1999) after Simon et al. (1994).
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
+**
+** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
+** Astron.Astrophys.Supp.Ser. 135, 111
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double a;
+
+
+/* Mean longitude of Mercury (IERS Conventions 2003). */
+ a = fmod(4.402608842 + 2608.7903141574 * t, ERFA_D2PI);
+
+ return a;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fane03.c b/src/detail/erfa/fane03.c
new file mode 100644
index 000000000..e8edc6f34
--- /dev/null
+++ b/src/detail/erfa/fane03.c
@@ -0,0 +1,113 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraFane03(double t)
+/*
+** - - - - - - - - - -
+** e r a F a n e 0 3
+** - - - - - - - - - -
+**
+** Fundamental argument, IERS Conventions (2003):
+** mean longitude of Neptune.
+**
+** Given:
+** t double TDB, Julian centuries since J2000.0 (Note 1)
+**
+** Returned (function value):
+** double mean longitude of Neptune, radians (Note 2)
+**
+** Notes:
+**
+** 1) Though t is strictly TDB, it is usually more convenient to use
+** TT, which makes no significant difference.
+**
+** 2) The expression used is as adopted in IERS Conventions (2003) and
+** is adapted from Simon et al. (1994).
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double a;
+
+
+/* Mean longitude of Neptune (IERS Conventions 2003). */
+ a = fmod(5.311886287 + 3.8133035638 * t, ERFA_D2PI);
+
+ return a;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/faom03.c b/src/detail/erfa/faom03.c
new file mode 100644
index 000000000..2bd8d66cd
--- /dev/null
+++ b/src/detail/erfa/faom03.c
@@ -0,0 +1,118 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraFaom03(double t)
+/*
+** - - - - - - - - - -
+** e r a F a o m 0 3
+** - - - - - - - - - -
+**
+** Fundamental argument, IERS Conventions (2003):
+** mean longitude of the Moon's ascending node.
+**
+** Given:
+** t double TDB, Julian centuries since J2000.0 (Note 1)
+**
+** Returned (function value):
+** double Omega, radians (Note 2)
+**
+** Notes:
+**
+** 1) Though t is strictly TDB, it is usually more convenient to use
+** TT, which makes no significant difference.
+**
+** 2) The expression used is as adopted in IERS Conventions (2003) and
+** is from Simon et al. (1994).
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J., 1994, Astron.Astrophys. 282, 663-683.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double a;
+
+
+/* Mean longitude of the Moon's ascending node */
+/* (IERS Conventions 2003). */
+ a = fmod( 450160.398036 +
+ t * ( - 6962890.5431 +
+ t * ( 7.4722 +
+ t * ( 0.007702 +
+ t * ( - 0.00005939 ) ) ) ), ERFA_TURNAS ) * ERFA_DAS2R;
+
+ return a;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fapa03.c b/src/detail/erfa/fapa03.c
new file mode 100644
index 000000000..f49a715e7
--- /dev/null
+++ b/src/detail/erfa/fapa03.c
@@ -0,0 +1,116 @@
+#include "erfa.h"
+
+double eraFapa03(double t)
+/*
+** - - - - - - - - - -
+** e r a F a p a 0 3
+** - - - - - - - - - -
+**
+** Fundamental argument, IERS Conventions (2003):
+** general accumulated precession in longitude.
+**
+** Given:
+** t double TDB, Julian centuries since J2000.0 (Note 1)
+**
+** Returned (function value):
+** double general precession in longitude, radians (Note 2)
+**
+** Notes:
+**
+** 1) Though t is strictly TDB, it is usually more convenient to use
+** TT, which makes no significant difference.
+**
+** 2) The expression used is as adopted in IERS Conventions (2003). It
+** is taken from Kinoshita & Souchay (1990) and comes originally
+** from Lieske et al. (1977).
+**
+** References:
+**
+** Kinoshita, H. and Souchay J. 1990, Celest.Mech. and Dyn.Astron.
+** 48, 187
+**
+** Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977,
+** Astron.Astrophys. 58, 1-16
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double a;
+
+
+/* General accumulated precession in longitude. */
+ a = (0.024381750 + 0.00000538691 * t) * t;
+
+ return a;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fasa03.c b/src/detail/erfa/fasa03.c
new file mode 100644
index 000000000..fb6b348c0
--- /dev/null
+++ b/src/detail/erfa/fasa03.c
@@ -0,0 +1,116 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraFasa03(double t)
+/*
+** - - - - - - - - - -
+** e r a F a s a 0 3
+** - - - - - - - - - -
+**
+** Fundamental argument, IERS Conventions (2003):
+** mean longitude of Saturn.
+**
+** Given:
+** t double TDB, Julian centuries since J2000.0 (Note 1)
+**
+** Returned (function value):
+** double mean longitude of Saturn, radians (Note 2)
+**
+** Notes:
+**
+** 1) Though t is strictly TDB, it is usually more convenient to use
+** TT, which makes no significant difference.
+**
+** 2) The expression used is as adopted in IERS Conventions (2003) and
+** comes from Souchay et al. (1999) after Simon et al. (1994).
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
+**
+** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
+** Astron.Astrophys.Supp.Ser. 135, 111
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double a;
+
+
+/* Mean longitude of Saturn (IERS Conventions 2003). */
+ a = fmod(0.874016757 + 21.3299104960 * t, ERFA_D2PI);
+
+ return a;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/faur03.c b/src/detail/erfa/faur03.c
new file mode 100644
index 000000000..c489fff21
--- /dev/null
+++ b/src/detail/erfa/faur03.c
@@ -0,0 +1,113 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraFaur03(double t)
+/*
+** - - - - - - - - - -
+** e r a F a u r 0 3
+** - - - - - - - - - -
+**
+** Fundamental argument, IERS Conventions (2003):
+** mean longitude of Uranus.
+**
+** Given:
+** t double TDB, Julian centuries since J2000.0 (Note 1)
+**
+** Returned (function value):
+** double mean longitude of Uranus, radians (Note 2)
+**
+** Notes:
+**
+** 1) Though t is strictly TDB, it is usually more convenient to use
+** TT, which makes no significant difference.
+**
+** 2) The expression used is as adopted in IERS Conventions (2003) and
+** is adapted from Simon et al. (1994).
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double a;
+
+
+/* Mean longitude of Uranus (IERS Conventions 2003). */
+ a = fmod(5.481293872 + 7.4781598567 * t, ERFA_D2PI);
+
+ return a;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fave03.c b/src/detail/erfa/fave03.c
new file mode 100644
index 000000000..cc1ad3723
--- /dev/null
+++ b/src/detail/erfa/fave03.c
@@ -0,0 +1,116 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraFave03(double t)
+/*
+** - - - - - - - - - -
+** e r a F a v e 0 3
+** - - - - - - - - - -
+**
+** Fundamental argument, IERS Conventions (2003):
+** mean longitude of Venus.
+**
+** Given:
+** t double TDB, Julian centuries since J2000.0 (Note 1)
+**
+** Returned (function value):
+** double mean longitude of Venus, radians (Note 2)
+**
+** Notes:
+**
+** 1) Though t is strictly TDB, it is usually more convenient to use
+** TT, which makes no significant difference.
+**
+** 2) The expression used is as adopted in IERS Conventions (2003) and
+** comes from Souchay et al. (1999) after Simon et al. (1994).
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
+**
+** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
+** Astron.Astrophys.Supp.Ser. 135, 111
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double a;
+
+
+/* Mean longitude of Venus (IERS Conventions 2003). */
+ a = fmod(3.176146697 + 1021.3285546211 * t, ERFA_D2PI);
+
+ return a;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fk425.c b/src/detail/erfa/fk425.c
new file mode 100644
index 000000000..047b3bc75
--- /dev/null
+++ b/src/detail/erfa/fk425.c
@@ -0,0 +1,283 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraFk425(double r1950, double d1950,
+ double dr1950, double dd1950,
+ double p1950, double v1950,
+ double *r2000, double *d2000,
+ double *dr2000, double *dd2000,
+ double *p2000, double *v2000)
+/*
+** - - - - - - - - -
+** e r a F k 4 2 5
+** - - - - - - - - -
+**
+** Convert B1950.0 FK4 star catalog data to J2000.0 FK5.
+**
+** This function converts a star's catalog data from the old FK4
+** (Bessel-Newcomb) system to the later IAU 1976 FK5 (Fricke) system.
+**
+** Given: (all B1950.0, FK4)
+** r1950,d1950 double B1950.0 RA,Dec (rad)
+** dr1950,dd1950 double B1950.0 proper motions (rad/trop.yr)
+** p1950 double parallax (arcsec)
+** v1950 double radial velocity (km/s, +ve = moving away)
+**
+** Returned: (all J2000.0, FK5)
+** r2000,d2000 double J2000.0 RA,Dec (rad)
+** dr2000,dd2000 double J2000.0 proper motions (rad/Jul.yr)
+** p2000 double parallax (arcsec)
+** v2000 double radial velocity (km/s, +ve = moving away)
+**
+** Notes:
+**
+** 1) The proper motions in RA are dRA/dt rather than cos(Dec)*dRA/dt,
+** and are per year rather than per century.
+**
+** 2) The conversion is somewhat complicated, for several reasons:
+**
+** . Change of standard epoch from B1950.0 to J2000.0.
+**
+** . An intermediate transition date of 1984 January 1.0 TT.
+**
+** . A change of precession model.
+**
+** . Change of time unit for proper motion (tropical to Julian).
+**
+** . FK4 positions include the E-terms of aberration, to simplify
+** the hand computation of annual aberration. FK5 positions
+** assume a rigorous aberration computation based on the Earth's
+** barycentric velocity.
+**
+** . The E-terms also affect proper motions, and in particular cause
+** objects at large distances to exhibit fictitious proper
+** motions.
+**
+** The algorithm is based on Smith et al. (1989) and Yallop et al.
+** (1989), which presented a matrix method due to Standish (1982) as
+** developed by Aoki et al. (1983), using Kinoshita's development of
+** Andoyer's post-Newcomb precession. The numerical constants from
+** Seidelmann (1992) are used canonically.
+**
+** 3) Conversion from B1950.0 FK4 to J2000.0 FK5 only is provided for.
+** Conversions for different epochs and equinoxes would require
+** additional treatment for precession, proper motion and E-terms.
+**
+** 4) In the FK4 catalog the proper motions of stars within 10 degrees
+** of the poles do not embody differential E-terms effects and
+** should, strictly speaking, be handled in a different manner from
+** stars outside these regions. However, given the general lack of
+** homogeneity of the star data available for routine astrometry,
+** the difficulties of handling positions that may have been
+** determined from astrometric fields spanning the polar and non-
+** polar regions, the likelihood that the differential E-terms
+** effect was not taken into account when allowing for proper motion
+** in past astrometry, and the undesirability of a discontinuity in
+** the algorithm, the decision has been made in this ERFA algorithm
+** to include the effects of differential E-terms on the proper
+** motions for all stars, whether polar or not. At epoch J2000.0,
+** and measuring "on the sky" rather than in terms of RA change, the
+** errors resulting from this simplification are less than
+** 1 milliarcsecond in position and 1 milliarcsecond per century in
+** proper motion.
+**
+** Called:
+** eraAnp normalize angle into range 0 to 2pi
+** eraPv2s pv-vector to spherical coordinates
+** eraPdp scalar product of two p-vectors
+** eraPvmpv pv-vector minus pv_vector
+** eraPvppv pv-vector plus pv_vector
+** eraS2pv spherical coordinates to pv-vector
+** eraSxp multiply p-vector by scalar
+**
+** References:
+**
+** Aoki, S. et al., 1983, "Conversion matrix of epoch B1950.0
+** FK4-based positions of stars to epoch J2000.0 positions in
+** accordance with the new IAU resolutions". Astron.Astrophys.
+** 128, 263-267.
+**
+** Seidelmann, P.K. (ed), 1992, "Explanatory Supplement to the
+** Astronomical Almanac", ISBN 0-935702-68-7.
+**
+** Smith, C.A. et al., 1989, "The transformation of astrometric
+** catalog systems to the equinox J2000.0". Astron.J. 97, 265.
+**
+** Standish, E.M., 1982, "Conversion of positions and proper motions
+** from B1950.0 to the IAU system at J2000.0". Astron.Astrophys.,
+** 115, 1, 20-22.
+**
+** Yallop, B.D. et al., 1989, "Transformation of mean star places
+** from FK4 B1950.0 to FK5 J2000.0 using matrices in 6-space".
+** Astron.J. 97, 274.
+**
+** This revision: 2023 March 20
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Radians per year to arcsec per century */
+ const double PMF = 100.0*ERFA_DR2AS;
+
+/* Small number to avoid arithmetic problems */
+ const double TINY = 1e-30;
+
+/* Miscellaneous */
+ double r, d, ur, ud, px, rv, pxvf, w, rd;
+ int i, j, k, l;
+
+/* Pv-vectors */
+ double r0[2][3], pv1[2][3], pv2[2][3];
+
+/*
+** CANONICAL CONSTANTS (Seidelmann 1992)
+*/
+
+/* Km per sec to au per tropical century */
+/* = 86400 * 36524.2198782 / 149597870.7 */
+ const double VF = 21.095;
+
+/* Constant pv-vector (cf. Seidelmann 3.591-2, vectors A and Adot) */
+ static double a[2][3] = {
+ { -1.62557e-6, -0.31919e-6, -0.13843e-6 },
+ { +1.245e-3, -1.580e-3, -0.659e-3 }
+ };
+
+/* 3x2 matrix of pv-vectors (cf. Seidelmann 3.591-4, matrix M) */
+ static double em[2][3][2][3] = {
+
+ { { { +0.9999256782, -0.0111820611, -0.0048579477 },
+ { +0.00000242395018, -0.00000002710663, -0.00000001177656 } },
+
+ { { +0.0111820610, +0.9999374784, -0.0000271765 },
+ { +0.00000002710663, +0.00000242397878, -0.00000000006587 } },
+
+ { { +0.0048579479, -0.0000271474, +0.9999881997, },
+ { +0.00000001177656, -0.00000000006582, +0.00000242410173 } } },
+
+ { { { -0.000551, -0.238565, +0.435739 },
+ { +0.99994704, -0.01118251, -0.00485767 } },
+
+ { { +0.238514, -0.002667, -0.008541 },
+ { +0.01118251, +0.99995883, -0.00002718 } },
+
+ { { -0.435623, +0.012254, +0.002117 },
+ { +0.00485767, -0.00002714, +1.00000956 } } }
+
+ };
+
+/*- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
+
+/* The FK4 data (units radians and arcsec per tropical century). */
+ r = r1950;
+ d = d1950;
+ ur = dr1950*PMF;
+ ud = dd1950*PMF;
+ px = p1950;
+ rv = v1950;
+
+/* Express as a pv-vector. */
+ pxvf = px*VF;
+ w = rv*pxvf;
+ eraS2pv(r, d, 1.0, ur, ud, w, r0);
+
+/* Allow for E-terms (cf. Seidelmann 3.591-2). */
+ eraPvmpv(r0, a, pv1);
+ eraSxp(eraPdp(r0[0], a[0]), r0[0], pv2[0]);
+ eraSxp(eraPdp(r0[0], a[1]), r0[0], pv2[1]);
+ eraPvppv(pv1, pv2, pv1);
+
+/* Convert pv-vector to Fricke system (cf. Seidelmann 3.591-3). */
+ for ( i = 0; i < 2; i++ ) {
+ for ( j = 0; j < 3; j++ ) {
+ w = 0.0;
+ for ( k = 0; k < 2; k++ ) {
+ for ( l = 0; l < 3; l++ ) {
+ w += em[i][j][k][l] * pv1[k][l];
+ }
+ }
+ pv2[i][j] = w;
+ }
+ }
+
+/* Revert to catalog form. */
+ eraPv2s(pv2, &r, &d, &w, &ur, &ud, &rd);
+ if ( px > TINY ) {
+ rv = rd/pxvf;
+ px = px/w;
+ }
+
+/* Return the results. */
+ *r2000 = eraAnp(r);
+ *d2000 = d;
+ *dr2000 = ur/PMF;
+ *dd2000 = ud/PMF;
+ *v2000 = rv;
+ *p2000 = px;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fk45z.c b/src/detail/erfa/fk45z.c
new file mode 100644
index 000000000..ae3a564f0
--- /dev/null
+++ b/src/detail/erfa/fk45z.c
@@ -0,0 +1,213 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraFk45z(double r1950, double d1950, double bepoch,
+ double *r2000, double *d2000)
+/*
+** - - - - - - - - -
+** e r a F k 4 5 z
+** - - - - - - - - -
+**
+** Convert a B1950.0 FK4 star position to J2000.0 FK5, assuming zero
+** proper motion in the FK5 system.
+**
+** This function converts a star's catalog data from the old FK4
+** (Bessel-Newcomb) system to the later IAU 1976 FK5 (Fricke) system,
+** in such a way that the FK5 proper motion is zero. Because such a
+** star has, in general, a non-zero proper motion in the FK4 system,
+** the function requires the epoch at which the position in the FK4
+** system was determined.
+**
+** Given:
+** r1950,d1950 double B1950.0 FK4 RA,Dec at epoch (rad)
+** bepoch double Besselian epoch (e.g. 1979.3)
+**
+** Returned:
+** r2000,d2000 double J2000.0 FK5 RA,Dec (rad)
+**
+** Notes:
+**
+** 1) The epoch bepoch is strictly speaking Besselian, but if a
+** Julian epoch is supplied the result will be affected only to a
+** negligible extent.
+**
+** 2) The method is from Appendix 2 of Aoki et al. (1983), but using
+** the constants of Seidelmann (1992). See the function eraFk425
+** for a general introduction to the FK4 to FK5 conversion.
+**
+** 3) Conversion from equinox B1950.0 FK4 to equinox J2000.0 FK5 only
+** is provided for. Conversions for different starting and/or
+** ending epochs would require additional treatment for precession,
+** proper motion and E-terms.
+**
+** 4) In the FK4 catalog the proper motions of stars within 10 degrees
+** of the poles do not embody differential E-terms effects and
+** should, strictly speaking, be handled in a different manner from
+** stars outside these regions. However, given the general lack of
+** homogeneity of the star data available for routine astrometry,
+** the difficulties of handling positions that may have been
+** determined from astrometric fields spanning the polar and non-
+** polar regions, the likelihood that the differential E-terms
+** effect was not taken into account when allowing for proper motion
+** in past astrometry, and the undesirability of a discontinuity in
+** the algorithm, the decision has been made in this ERFA algorithm
+** to include the effects of differential E-terms on the proper
+** motions for all stars, whether polar or not. At epoch J2000.0,
+** and measuring "on the sky" rather than in terms of RA change, the
+** errors resulting from this simplification are less than
+** 1 milliarcsecond in position and 1 milliarcsecond per century in
+** proper motion.
+**
+** References:
+**
+** Aoki, S. et al., 1983, "Conversion matrix of epoch B1950.0
+** FK4-based positions of stars to epoch J2000.0 positions in
+** accordance with the new IAU resolutions". Astron.Astrophys.
+** 128, 263-267.
+**
+** Seidelmann, P.K. (ed), 1992, "Explanatory Supplement to the
+** Astronomical Almanac", ISBN 0-935702-68-7.
+**
+** Called:
+** eraAnp normalize angle into range 0 to 2pi
+** eraC2s p-vector to spherical
+** eraEpb2jd Besselian epoch to Julian date
+** eraEpj Julian date to Julian epoch
+** eraPdp scalar product of two p-vectors
+** eraPmp p-vector minus p-vector
+** eraPpsp p-vector plus scaled p-vector
+** eraPvu update a pv-vector
+** eraS2c spherical to p-vector
+**
+** This revision: 2023 March 4
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Radians per year to arcsec per century */
+ const double PMF = 100.0*ERFA_DR2AS;
+
+/* Position and position+velocity vectors */
+ double r0[3], p[3], pv[2][3];
+
+/* Miscellaneous */
+ double w, djm0, djm;
+ int i, j, k;
+
+/*
+** CANONICAL CONSTANTS (Seidelmann 1992)
+*/
+
+/* Vectors A and Adot (Seidelmann 3.591-2) */
+ static double a[3] = { -1.62557e-6, -0.31919e-6, -0.13843e-6 };
+ static double ad[3] = { +1.245e-3, -1.580e-3, -0.659e-3 };
+
+/* 3x2 matrix of p-vectors (cf. Seidelmann 3.591-4, matrix M) */
+ static double em[2][3][3] = {
+ { { +0.9999256782, -0.0111820611, -0.0048579477 },
+ { +0.0111820610, +0.9999374784, -0.0000271765 },
+ { +0.0048579479, -0.0000271474, +0.9999881997 } },
+ { { -0.000551, -0.238565, +0.435739 },
+ { +0.238514, -0.002667, -0.008541 },
+ { -0.435623, +0.012254, +0.002117 } }
+ };
+
+/*- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
+
+/* Spherical coordinates to p-vector. */
+ eraS2c(r1950, d1950, r0);
+
+/* Adjust p-vector A to give zero proper motion in FK5. */
+ w = (bepoch - 1950) / PMF;
+ eraPpsp(a, w, ad, p);
+
+/* Remove E-terms. */
+ eraPpsp(p, -eraPdp(r0,p), r0, p);
+ eraPmp(r0, p, p);
+
+/* Convert to Fricke system pv-vector (cf. Seidelmann 3.591-3). */
+ for ( i = 0; i < 2; i++ ) {
+ for ( j = 0; j < 3; j++ ) {
+ w = 0.0;
+ for ( k = 0; k < 3; k++ ) {
+ w += em[i][j][k] * p[k];
+ }
+ pv[i][j] = w;
+ }
+ }
+
+/* Allow for fictitious proper motion. */
+ eraEpb2jd(bepoch, &djm0, &djm);
+ w = (eraEpj(djm0,djm)-2000.0) / PMF;
+ eraPvu(w, pv, pv);
+
+/* Revert to spherical coordinates. */
+ eraC2s(pv[0], &w, d2000);
+ *r2000 = eraAnp(w);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fk524.c b/src/detail/erfa/fk524.c
new file mode 100644
index 000000000..974578110
--- /dev/null
+++ b/src/detail/erfa/fk524.c
@@ -0,0 +1,295 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraFk524(double r2000, double d2000,
+ double dr2000, double dd2000,
+ double p2000, double v2000,
+ double *r1950, double *d1950,
+ double *dr1950, double *dd1950,
+ double *p1950, double *v1950)
+/*
+** - - - - - - - - -
+** e r a F k 5 2 4
+** - - - - - - - - -
+**
+** Convert J2000.0 FK5 star catalog data to B1950.0 FK4.
+**
+** Given: (all J2000.0, FK5)
+** r2000,d2000 double J2000.0 RA,Dec (rad)
+** dr2000,dd2000 double J2000.0 proper motions (rad/Jul.yr)
+** p2000 double parallax (arcsec)
+** v2000 double radial velocity (km/s, +ve = moving away)
+**
+** Returned: (all B1950.0, FK4)
+** r1950,d1950 double B1950.0 RA,Dec (rad)
+** dr1950,dd1950 double B1950.0 proper motions (rad/trop.yr)
+** p1950 double parallax (arcsec)
+** v1950 double radial velocity (km/s, +ve = moving away)
+**
+** Notes:
+**
+** 1) The proper motions in RA are dRA/dt rather than cos(Dec)*dRA/dt,
+** and are per year rather than per century.
+**
+** 2) The conversion is somewhat complicated, for several reasons:
+**
+** . Change of standard epoch from J2000.0 to B1950.0.
+**
+** . An intermediate transition date of 1984 January 1.0 TT.
+**
+** . A change of precession model.
+**
+** . Change of time unit for proper motion (Julian to tropical).
+**
+** . FK4 positions include the E-terms of aberration, to simplify
+** the hand computation of annual aberration. FK5 positions
+** assume a rigorous aberration computation based on the Earth's
+** barycentric velocity.
+**
+** . The E-terms also affect proper motions, and in particular cause
+** objects at large distances to exhibit fictitious proper
+** motions.
+**
+** The algorithm is based on Smith et al. (1989) and Yallop et al.
+** (1989), which presented a matrix method due to Standish (1982) as
+** developed by Aoki et al. (1983), using Kinoshita's development of
+** Andoyer's post-Newcomb precession. The numerical constants from
+** Seidelmann (1992) are used canonically.
+**
+** 4) In the FK4 catalog the proper motions of stars within 10 degrees
+** of the poles do not embody differential E-terms effects and
+** should, strictly speaking, be handled in a different manner from
+** stars outside these regions. However, given the general lack of
+** homogeneity of the star data available for routine astrometry,
+** the difficulties of handling positions that may have been
+** determined from astrometric fields spanning the polar and non-
+** polar regions, the likelihood that the differential E-terms
+** effect was not taken into account when allowing for proper motion
+** in past astrometry, and the undesirability of a discontinuity in
+** the algorithm, the decision has been made in this ERFA algorithm
+** to include the effects of differential E-terms on the proper
+** motions for all stars, whether polar or not. At epoch J2000.0,
+** and measuring "on the sky" rather than in terms of RA change, the
+** errors resulting from this simplification are less than
+** 1 milliarcsecond in position and 1 milliarcsecond per century in
+** proper motion.
+**
+** Called:
+** eraAnp normalize angle into range 0 to 2pi
+** eraPdp scalar product of two p-vectors
+** eraPm modulus of p-vector
+** eraPmp p-vector minus p-vector
+** eraPpp p-vector pluus p-vector
+** eraPv2s pv-vector to spherical coordinates
+** eraS2pv spherical coordinates to pv-vector
+** eraSxp multiply p-vector by scalar
+**
+** References:
+**
+** Aoki, S. et al., 1983, "Conversion matrix of epoch B1950.0
+** FK4-based positions of stars to epoch J2000.0 positions in
+** accordance with the new IAU resolutions". Astron.Astrophys.
+** 128, 263-267.
+**
+** Seidelmann, P.K. (ed), 1992, "Explanatory Supplement to the
+** Astronomical Almanac", ISBN 0-935702-68-7.
+**
+** Smith, C.A. et al., 1989, "The transformation of astrometric
+** catalog systems to the equinox J2000.0". Astron.J. 97, 265.
+**
+** Standish, E.M., 1982, "Conversion of positions and proper motions
+** from B1950.0 to the IAU system at J2000.0". Astron.Astrophys.,
+** 115, 1, 20-22.
+**
+** Yallop, B.D. et al., 1989, "Transformation of mean star places
+** from FK4 B1950.0 to FK5 J2000.0 using matrices in 6-space".
+** Astron.J. 97, 274.
+**
+** This revision: 2023 March 20
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Radians per year to arcsec per century */
+ const double PMF = 100.0*ERFA_DR2AS;
+
+/* Small number to avoid arithmetic problems */
+ const double TINY = 1e-30;
+
+/* Miscellaneous */
+ double r, d, ur, ud, px, rv, pxvf, w, rd;
+ int i, j, k, l;
+
+/* Vectors, p and pv */
+ double r0[2][3], r1[2][3], p1[3], p2[3], pv[2][3];
+
+/*
+** CANONICAL CONSTANTS (Seidelmann 1992)
+*/
+
+/* Km per sec to au per tropical century */
+/* = 86400 * 36524.2198782 / 149597870.7 */
+ const double VF = 21.095;
+
+/* Constant pv-vector (cf. Seidelmann 3.591-2, vectors A and Adot) */
+ static double a[2][3] = {
+ { -1.62557e-6, -0.31919e-6, -0.13843e-6 },
+ { +1.245e-3, -1.580e-3, -0.659e-3 }
+ };
+
+/* 3x2 matrix of pv-vectors (cf. Seidelmann 3.592-1, matrix M^-1) */
+ static double em[2][3][2][3] = {
+
+ { { { +0.9999256795, +0.0111814828, +0.0048590039, },
+ { -0.00000242389840, -0.00000002710544, -0.00000001177742 } },
+
+ { { -0.0111814828, +0.9999374849, -0.0000271771, },
+ { +0.00000002710544, -0.00000242392702, +0.00000000006585 } },
+
+ { { -0.0048590040, -0.0000271557, +0.9999881946, },
+ { +0.00000001177742, +0.00000000006585, -0.00000242404995 } } },
+
+ { { { -0.000551, +0.238509, -0.435614, },
+ { +0.99990432, +0.01118145, +0.00485852 } },
+
+ { { -0.238560, -0.002667, +0.012254, },
+ { -0.01118145, +0.99991613, -0.00002717 } },
+
+ { { +0.435730, -0.008541, +0.002117, },
+ { -0.00485852, -0.00002716, +0.99996684 } } }
+
+ };
+
+/*- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
+
+/* The FK5 data (units radians and arcsec per Julian century). */
+ r = r2000;
+ d = d2000;
+ ur = dr2000*PMF;
+ ud = dd2000*PMF;
+ px = p2000;
+ rv = v2000;
+
+/* Express as a pv-vector. */
+ pxvf = px * VF;
+ w = rv * pxvf;
+ eraS2pv(r, d, 1.0, ur, ud, w, r0);
+
+/* Convert pv-vector to Bessel-Newcomb system (cf. Seidelmann 3.592-1). */
+ for ( i = 0; i < 2; i++ ) {
+ for ( j = 0; j < 3; j++ ) {
+ w = 0.0;
+ for ( k = 0; k < 2; k++ ) {
+ for ( l = 0; l < 3; l++ ) {
+ w += em[i][j][k][l] * r0[k][l];
+ }
+ }
+ r1[i][j] = w;
+ }
+ }
+
+/* Apply E-terms (equivalent to Seidelmann 3.592-3, one iteration). */
+
+/* Direction. */
+ w = eraPm(r1[0]);
+ eraSxp(eraPdp(r1[0],a[0]), r1[0], p1);
+ eraSxp(w, a[0], p2);
+ eraPmp(p2, p1, p1);
+ eraPpp(r1[0], p1, p1);
+
+/* Recompute length. */
+ w = eraPm(p1);
+
+/* Direction. */
+ eraSxp(eraPdp(r1[0],a[0]), r1[0], p1);
+ eraSxp(w, a[0], p2);
+ eraPmp(p2, p1, p1);
+ eraPpp(r1[0], p1, pv[0]);
+
+/* Derivative. */
+ eraSxp(eraPdp(r1[0],a[1]), pv[0], p1);
+ eraSxp(w, a[1], p2);
+ eraPmp(p2, p1, p1);
+ eraPpp(r1[1], p1, pv[1]);
+
+/* Revert to catalog form. */
+ eraPv2s(pv, &r, &d, &w, &ur, &ud, &rd);
+ if ( px > TINY ) {
+ rv = rd/pxvf;
+ px = px/w;
+ }
+
+/* Return the results. */
+ *r1950 = eraAnp(r);
+ *d1950 = d;
+ *dr1950 = ur/PMF;
+ *dd1950 = ud/PMF;
+ *p1950 = px;
+ *v1950 = rv;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fk52h.c b/src/detail/erfa/fk52h.c
new file mode 100644
index 000000000..8165f72f1
--- /dev/null
+++ b/src/detail/erfa/fk52h.c
@@ -0,0 +1,154 @@
+#include "erfa.h"
+
+void eraFk52h(double r5, double d5,
+ double dr5, double dd5, double px5, double rv5,
+ double *rh, double *dh,
+ double *drh, double *ddh, double *pxh, double *rvh)
+/*
+** - - - - - - - - -
+** e r a F k 5 2 h
+** - - - - - - - - -
+**
+** Transform FK5 (J2000.0) star data into the Hipparcos system.
+**
+** Given (all FK5, equinox J2000.0, epoch J2000.0):
+** r5 double RA (radians)
+** d5 double Dec (radians)
+** dr5 double proper motion in RA (dRA/dt, rad/Jyear)
+** dd5 double proper motion in Dec (dDec/dt, rad/Jyear)
+** px5 double parallax (arcsec)
+** rv5 double radial velocity (km/s, positive = receding)
+**
+** Returned (all Hipparcos, epoch J2000.0):
+** rh double RA (radians)
+** dh double Dec (radians)
+** drh double proper motion in RA (dRA/dt, rad/Jyear)
+** ddh double proper motion in Dec (dDec/dt, rad/Jyear)
+** pxh double parallax (arcsec)
+** rvh double radial velocity (km/s, positive = receding)
+**
+** Notes:
+**
+** 1) This function transforms FK5 star positions and proper motions
+** into the system of the Hipparcos catalog.
+**
+** 2) The proper motions in RA are dRA/dt rather than
+** cos(Dec)*dRA/dt, and are per year rather than per century.
+**
+** 3) The FK5 to Hipparcos transformation is modeled as a pure
+** rotation and spin; zonal errors in the FK5 catalog are not
+** taken into account.
+**
+** 4) See also eraH2fk5, eraFk5hz, eraHfk5z.
+**
+** Called:
+** eraStarpv star catalog data to space motion pv-vector
+** eraFk5hip FK5 to Hipparcos rotation and spin
+** eraRxp product of r-matrix and p-vector
+** eraPxp vector product of two p-vectors
+** eraPpp p-vector plus p-vector
+** eraPvstar space motion pv-vector to star catalog data
+**
+** Reference:
+**
+** F.Mignard & M.Froeschle, Astron.Astrophys., 354, 732-739 (2000).
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int i;
+ double pv5[2][3], r5h[3][3], s5h[3], wxp[3], vv[3], pvh[2][3];
+
+
+/* FK5 barycentric position/velocity pv-vector (normalized). */
+ eraStarpv(r5, d5, dr5, dd5, px5, rv5, pv5);
+
+/* FK5 to Hipparcos orientation matrix and spin vector. */
+ eraFk5hip(r5h, s5h);
+
+/* Make spin units per day instead of per year. */
+ for ( i = 0; i < 3; s5h[i++] /= 365.25 );
+
+/* Orient the FK5 position into the Hipparcos system. */
+ eraRxp(r5h, pv5[0], pvh[0]);
+
+/* Apply spin to the position giving an extra space motion component. */
+ eraPxp(pv5[0], s5h, wxp);
+
+/* Add this component to the FK5 space motion. */
+ eraPpp(wxp, pv5[1], vv);
+
+/* Orient the FK5 space motion into the Hipparcos system. */
+ eraRxp(r5h, vv, pvh[1]);
+
+/* Hipparcos pv-vector to spherical. */
+ eraPvstar(pvh, rh, dh, drh, ddh, pxh, rvh);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fk54z.c b/src/detail/erfa/fk54z.c
new file mode 100644
index 000000000..3a675c123
--- /dev/null
+++ b/src/detail/erfa/fk54z.c
@@ -0,0 +1,154 @@
+#include "erfa.h"
+
+void eraFk54z(double r2000, double d2000, double bepoch,
+ double *r1950, double *d1950,
+ double *dr1950, double *dd1950)
+/*
+** - - - - - - - - -
+** e r a F k 5 4 z
+** - - - - - - - - -
+**
+** Convert a J2000.0 FK5 star position to B1950.0 FK4, assuming zero
+** proper motion in FK5 and parallax.
+**
+** Given:
+** r2000,d2000 double J2000.0 FK5 RA,Dec (rad)
+** bepoch double Besselian epoch (e.g. 1950.0)
+**
+** Returned:
+** r1950,d1950 double B1950.0 FK4 RA,Dec (rad) at epoch BEPOCH
+** dr1950,dd1950 double B1950.0 FK4 proper motions (rad/trop.yr)
+**
+** Notes:
+**
+** 1) In contrast to the eraFk524 function, here the FK5 proper
+** motions, the parallax and the radial velocity are presumed zero.
+**
+** 2) This function converts a star position from the IAU 1976 FK5
+** (Fricke) system to the former FK4 (Bessel-Newcomb) system, for
+** cases such as distant radio sources where it is presumed there is
+** zero parallax and no proper motion. Because of the E-terms of
+** aberration, such objects have (in general) non-zero proper motion
+** in FK4, and the present function returns those fictitious proper
+** motions.
+**
+** 3) Conversion from J2000.0 FK5 to B1950.0 FK4 only is provided for.
+** Conversions involving other equinoxes would require additional
+** treatment for precession.
+**
+** 4) The position returned by this function is in the B1950.0 FK4
+** reference system but at Besselian epoch bepoch. For comparison
+** with catalogs the bepoch argument will frequently be 1950.0. (In
+** this context the distinction between Besselian and Julian epoch
+** is insignificant.)
+**
+** 5) The RA component of the returned (fictitious) proper motion is
+** dRA/dt rather than cos(Dec)*dRA/dt.
+**
+** Called:
+** eraAnp normalize angle into range 0 to 2pi
+** eraC2s p-vector to spherical
+** eraFk524 FK4 to FK5
+** eraS2c spherical to p-vector
+**
+** This revision: 2023 March 5
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double r, d, pr, pd, px, rv, p[3], w, v[3];
+ int i;
+
+
+/* FK5 equinox J2000.0 to FK4 equinox B1950.0. */
+ eraFk524(r2000, d2000, 0.0, 0.0, 0.0, 0.0,
+ &r, &d, &pr, &pd, &px, &rv);
+
+/* Spherical to Cartesian. */
+ eraS2c(r, d, p);
+
+/* Fictitious proper motion (radians per year). */
+ v[0] = - pr*p[1] - pd*cos(r)*sin(d);
+ v[1] = pr*p[0] - pd*sin(r)*sin(d);
+ v[2] = pd*cos(d);
+
+/* Apply the motion. */
+ w = bepoch - 1950.0;
+ for ( i = 0; i < 3; i++ ) {
+ p[i] += w*v[i];
+ }
+
+/* Cartesian to spherical. */
+ eraC2s(p, &w, d1950);
+ *r1950 = eraAnp(w);
+
+/* Fictitious proper motion. */
+ *dr1950 = pr;
+ *dd1950 = pd;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fk5hip.c b/src/detail/erfa/fk5hip.c
new file mode 100644
index 000000000..a907cec55
--- /dev/null
+++ b/src/detail/erfa/fk5hip.c
@@ -0,0 +1,138 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraFk5hip(double r5h[3][3], double s5h[3])
+/*
+** - - - - - - - - - -
+** e r a F k 5 h i p
+** - - - - - - - - - -
+**
+** FK5 to Hipparcos rotation and spin.
+**
+** Returned:
+** r5h double[3][3] r-matrix: FK5 rotation wrt Hipparcos (Note 2)
+** s5h double[3] r-vector: FK5 spin wrt Hipparcos (Note 3)
+**
+** Notes:
+**
+** 1) This function models the FK5 to Hipparcos transformation as a
+** pure rotation and spin; zonal errors in the FK5 catalog are not
+** taken into account.
+**
+** 2) The r-matrix r5h operates in the sense:
+**
+** P_Hipparcos = r5h x P_FK5
+**
+** where P_FK5 is a p-vector in the FK5 frame, and P_Hipparcos is
+** the equivalent Hipparcos p-vector.
+**
+** 3) The r-vector s5h represents the time derivative of the FK5 to
+** Hipparcos rotation. The units are radians per year (Julian,
+** TDB).
+**
+** Called:
+** eraRv2m r-vector to r-matrix
+**
+** Reference:
+**
+** F.Mignard & M.Froeschle, Astron.Astrophys., 354, 732-739 (2000).
+**
+** This revision: 2023 March 6
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double v[3];
+
+/* FK5 wrt Hipparcos orientation and spin (radians, radians/year) */
+ double epx, epy, epz;
+ double omx, omy, omz;
+
+
+ epx = -19.9e-3 * ERFA_DAS2R;
+ epy = -9.1e-3 * ERFA_DAS2R;
+ epz = 22.9e-3 * ERFA_DAS2R;
+
+ omx = -0.30e-3 * ERFA_DAS2R;
+ omy = 0.60e-3 * ERFA_DAS2R;
+ omz = 0.70e-3 * ERFA_DAS2R;
+
+/* FK5 to Hipparcos orientation expressed as an r-vector. */
+ v[0] = epx;
+ v[1] = epy;
+ v[2] = epz;
+
+/* Re-express as an r-matrix. */
+ eraRv2m(v, r5h);
+
+/* Hipparcos wrt FK5 spin expressed as an r-vector. */
+ s5h[0] = omx;
+ s5h[1] = omy;
+ s5h[2] = omz;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fk5hz.c b/src/detail/erfa/fk5hz.c
new file mode 100644
index 000000000..964a3da7e
--- /dev/null
+++ b/src/detail/erfa/fk5hz.c
@@ -0,0 +1,172 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraFk5hz(double r5, double d5, double date1, double date2,
+ double *rh, double *dh)
+/*
+** - - - - - - - - -
+** e r a F k 5 h z
+** - - - - - - - - -
+**
+** Transform an FK5 (J2000.0) star position into the system of the
+** Hipparcos catalog, assuming zero Hipparcos proper motion.
+**
+** Given:
+** r5 double FK5 RA (radians), equinox J2000.0, at date
+** d5 double FK5 Dec (radians), equinox J2000.0, at date
+** date1,date2 double TDB date (Notes 1,2)
+**
+** Returned:
+** rh double Hipparcos RA (radians)
+** dh double Hipparcos Dec (radians)
+**
+** Notes:
+**
+** 1) This function converts a star position from the FK5 system to
+** the Hipparcos system, in such a way that the Hipparcos proper
+** motion is zero. Because such a star has, in general, a non-zero
+** proper motion in the FK5 system, the function requires the date
+** at which the position in the FK5 system was determined.
+**
+** 2) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 3) The FK5 to Hipparcos transformation is modeled as a pure
+** rotation and spin; zonal errors in the FK5 catalog are not
+** taken into account.
+**
+** 4) The position returned by this function is in the Hipparcos
+** reference system but at date date1+date2.
+**
+** 5) See also eraFk52h, eraH2fk5, eraHfk5z.
+**
+** Called:
+** eraS2c spherical coordinates to unit vector
+** eraFk5hip FK5 to Hipparcos rotation and spin
+** eraSxp multiply p-vector by scalar
+** eraRv2m r-vector to r-matrix
+** eraTrxp product of transpose of r-matrix and p-vector
+** eraPxp vector product of two p-vectors
+** eraC2s p-vector to spherical
+** eraAnp normalize angle into range 0 to 2pi
+**
+** Reference:
+**
+** F.Mignard & M.Froeschle, 2000, Astron.Astrophys. 354, 732-739.
+**
+** This revision: 2023 March 6
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t, p5e[3], r5h[3][3], s5h[3], vst[3], rst[3][3], p5[3],
+ ph[3], w;
+
+
+/* Interval from given date to fundamental epoch J2000.0 (JY). */
+ t = - ((date1 - ERFA_DJ00) + date2) / ERFA_DJY;
+
+/* FK5 barycentric position vector. */
+ eraS2c(r5, d5, p5e);
+
+/* FK5 to Hipparcos orientation matrix and spin vector. */
+ eraFk5hip(r5h, s5h);
+
+/* Accumulated Hipparcos wrt FK5 spin over that interval. */
+ eraSxp(t, s5h, vst);
+
+/* Express the accumulated spin as a rotation matrix. */
+ eraRv2m(vst, rst);
+
+/* Derotate the vector's FK5 axes back to date. */
+ eraTrxp(rst, p5e, p5);
+
+/* Rotate the vector into the Hipparcos system. */
+ eraRxp(r5h, p5, ph);
+
+/* Hipparcos vector to spherical. */
+ eraC2s(ph, &w, dh);
+ *rh = eraAnp(w);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fw2m.c b/src/detail/erfa/fw2m.c
new file mode 100644
index 000000000..fb6b7ad1c
--- /dev/null
+++ b/src/detail/erfa/fw2m.c
@@ -0,0 +1,150 @@
+#include "erfa.h"
+
+void eraFw2m(double gamb, double phib, double psi, double eps,
+ double r[3][3])
+/*
+** - - - - - - - -
+** e r a F w 2 m
+** - - - - - - - -
+**
+** Form rotation matrix given the Fukushima-Williams angles.
+**
+** Given:
+** gamb double F-W angle gamma_bar (radians)
+** phib double F-W angle phi_bar (radians)
+** psi double F-W angle psi (radians)
+** eps double F-W angle epsilon (radians)
+**
+** Returned:
+** r double[3][3] rotation matrix
+**
+** Notes:
+**
+** 1) Naming the following points:
+**
+** e = J2000.0 ecliptic pole,
+** p = GCRS pole,
+** E = ecliptic pole of date,
+** and P = CIP,
+**
+** the four Fukushima-Williams angles are as follows:
+**
+** gamb = gamma = epE
+** phib = phi = pE
+** psi = psi = pEP
+** eps = epsilon = EP
+**
+** 2) The matrix representing the combined effects of frame bias,
+** precession and nutation is:
+**
+** NxPxB = R_1(-eps).R_3(-psi).R_1(phib).R_3(gamb)
+**
+** 3) The present function can construct three different matrices,
+** depending on which angles are supplied as the arguments gamb,
+** phib, psi and eps:
+**
+** o To obtain the nutation x precession x frame bias matrix,
+** first generate the four precession angles known conventionally
+** as gamma_bar, phi_bar, psi_bar and epsilon_A, then generate
+** the nutation components Dpsi and Depsilon and add them to
+** psi_bar and epsilon_A, and finally call the present function
+** using those four angles as arguments.
+**
+** o To obtain the precession x frame bias matrix, generate the
+** four precession angles and call the present function.
+**
+** o To obtain the frame bias matrix, generate the four precession
+** angles for date J2000.0 and call the present function.
+**
+** The nutation-only and precession-only matrices can if necessary
+** be obtained by combining these three appropriately.
+**
+** Called:
+** eraIr initialize r-matrix to identity
+** eraRz rotate around Z-axis
+** eraRx rotate around X-axis
+**
+** References:
+**
+** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855
+**
+** Hilton, J. et al., 2006, Celest.Mech.Dyn.Astron. 94, 351
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Construct the matrix. */
+ eraIr(r);
+ eraRz(gamb, r);
+ eraRx(phib, r);
+ eraRz(-psi, r);
+ eraRx(-eps, r);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/fw2xy.c b/src/detail/erfa/fw2xy.c
new file mode 100644
index 000000000..284b9352a
--- /dev/null
+++ b/src/detail/erfa/fw2xy.c
@@ -0,0 +1,132 @@
+#include "erfa.h"
+
+void eraFw2xy(double gamb, double phib, double psi, double eps,
+ double *x, double *y)
+/*
+** - - - - - - - - -
+** e r a F w 2 x y
+** - - - - - - - - -
+**
+** CIP X,Y given Fukushima-Williams bias-precession-nutation angles.
+**
+** Given:
+** gamb double F-W angle gamma_bar (radians)
+** phib double F-W angle phi_bar (radians)
+** psi double F-W angle psi (radians)
+** eps double F-W angle epsilon (radians)
+**
+** Returned:
+** x,y double CIP unit vector X,Y
+**
+** Notes:
+**
+** 1) Naming the following points:
+**
+** e = J2000.0 ecliptic pole,
+** p = GCRS pole
+** E = ecliptic pole of date,
+** and P = CIP,
+**
+** the four Fukushima-Williams angles are as follows:
+**
+** gamb = gamma = epE
+** phib = phi = pE
+** psi = psi = pEP
+** eps = epsilon = EP
+**
+** 2) The matrix representing the combined effects of frame bias,
+** precession and nutation is:
+**
+** NxPxB = R_1(-epsA).R_3(-psi).R_1(phib).R_3(gamb)
+**
+** The returned values x,y are elements [2][0] and [2][1] of the
+** matrix. Near J2000.0, they are essentially angles in radians.
+**
+** Called:
+** eraFw2m F-W angles to r-matrix
+** eraBpn2xy extract CIP X,Y coordinates from NPB matrix
+**
+** Reference:
+**
+** Hilton, J. et al., 2006, Celest.Mech.Dyn.Astron. 94, 351
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double r[3][3];
+
+
+/* Form NxPxB matrix. */
+ eraFw2m(gamb, phib, psi, eps, r);
+
+/* Extract CIP X,Y. */
+ eraBpn2xy(r, x, y);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/g2icrs.c b/src/detail/erfa/g2icrs.c
new file mode 100644
index 000000000..b82607732
--- /dev/null
+++ b/src/detail/erfa/g2icrs.c
@@ -0,0 +1,173 @@
+
+#include "erfa.h"
+
+void eraG2icrs ( double dl, double db, double *dr, double *dd )
+/*
+** - - - - - - - - - -
+** e r a G 2 i c r s
+** - - - - - - - - - -
+**
+** Transformation from Galactic coordinates to ICRS.
+**
+** Given:
+** dl double Galactic longitude (radians)
+** db double Galactic latitude (radians)
+**
+** Returned:
+** dr double ICRS right ascension (radians)
+** dd double ICRS declination (radians)
+**
+** Notes:
+**
+** 1) The IAU 1958 system of Galactic coordinates was defined with
+** respect to the now obsolete reference system FK4 B1950.0. When
+** interpreting the system in a modern context, several factors have
+** to be taken into account:
+**
+** . The inclusion in FK4 positions of the E-terms of aberration.
+**
+** . The distortion of the FK4 proper motion system by differential
+** Galactic rotation.
+**
+** . The use of the B1950.0 equinox rather than the now-standard
+** J2000.0.
+**
+** . The frame bias between ICRS and the J2000.0 mean place system.
+**
+** The Hipparcos Catalogue (Perryman & ESA 1997) provides a rotation
+** matrix that transforms directly between ICRS and Galactic
+** coordinates with the above factors taken into account. The
+** matrix is derived from three angles, namely the ICRS coordinates
+** of the Galactic pole and the longitude of the ascending node of
+** the Galactic equator on the ICRS equator. They are given in
+** degrees to five decimal places and for canonical purposes are
+** regarded as exact. In the Hipparcos Catalogue the matrix
+** elements are given to 10 decimal places (about 20 microarcsec).
+** In the present ERFA function the matrix elements have been
+** recomputed from the canonical three angles and are given to 30
+** decimal places.
+**
+** 2) The inverse transformation is performed by the function eraIcrs2g.
+**
+** Called:
+** eraAnp normalize angle into range 0 to 2pi
+** eraAnpm normalize angle into range +/- pi
+** eraS2c spherical coordinates to unit vector
+** eraTrxp product of transpose of r-matrix and p-vector
+** eraC2s p-vector to spherical
+**
+** Reference:
+** Perryman M.A.C. & ESA, 1997, ESA SP-1200, The Hipparcos and Tycho
+** catalogues. Astrometric and photometric star catalogues
+** derived from the ESA Hipparcos Space Astrometry Mission. ESA
+** Publications Division, Noordwijk, Netherlands.
+**
+** This revision: 2023 April 16
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double v1[3], v2[3];
+
+/*
+** L2,B2 system of Galactic coordinates in the form presented in the
+** Hipparcos Catalogue. In degrees:
+**
+** P = 192.85948 right ascension of the Galactic north pole in ICRS
+** Q = 27.12825 declination of the Galactic north pole in ICRS
+** R = 32.93192 Galactic longitude of the ascending node of
+** the Galactic equator on the ICRS equator
+**
+** ICRS to Galactic rotation matrix, obtained by computing
+** R_3(-R) R_1(pi/2-Q) R_3(pi/2+P) to the full precision shown:
+*/
+ double r[3][3] = { { -0.054875560416215368492398900454,
+ -0.873437090234885048760383168409,
+ -0.483835015548713226831774175116 },
+ { +0.494109427875583673525222371358,
+ -0.444829629960011178146614061616,
+ +0.746982244497218890527388004556 },
+ { -0.867666149019004701181616534570,
+ -0.198076373431201528180486091412,
+ +0.455983776175066922272100478348 } };
+
+
+/* Spherical to Cartesian. */
+ eraS2c(dl, db, v1);
+
+/* Galactic to ICRS. */
+ eraTrxp(r, v1, v2);
+
+/* Cartesian to spherical. */
+ eraC2s(v2, dr, dd);
+
+/* Express in conventional ranges. */
+ *dr = eraAnp(*dr);
+ *dd = eraAnpm(*dd);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/gc2gd.c b/src/detail/erfa/gc2gd.c
new file mode 100644
index 000000000..60cb37708
--- /dev/null
+++ b/src/detail/erfa/gc2gd.c
@@ -0,0 +1,148 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraGc2gd ( int n, double xyz[3],
+ double *elong, double *phi, double *height )
+/*
+** - - - - - - - - -
+** e r a G c 2 g d
+** - - - - - - - - -
+**
+** Transform geocentric coordinates to geodetic using the specified
+** reference ellipsoid.
+**
+** Given:
+** n int ellipsoid identifier (Note 1)
+** xyz double[3] geocentric vector (Note 2)
+**
+** Returned:
+** elong double longitude (radians, east +ve, Note 3)
+** phi double latitude (geodetic, radians, Note 3)
+** height double height above ellipsoid (geodetic, Notes 2,3)
+**
+** Returned (function value):
+** int status: 0 = OK
+** -1 = illegal identifier (Note 3)
+** -2 = internal error (Note 3)
+**
+** Notes:
+**
+** 1) The identifier n is a number that specifies the choice of
+** reference ellipsoid. The following are supported:
+**
+** n ellipsoid
+**
+** 1 ERFA_WGS84
+** 2 ERFA_GRS80
+** 3 ERFA_WGS72
+**
+** The n value has no significance outside the ERFA software. For
+** convenience, symbols ERFA_WGS84 etc. are defined in erfam.h.
+**
+** 2) The geocentric vector (xyz, given) and height (height, returned)
+** are in meters.
+**
+** 3) An error status -1 means that the identifier n is illegal. An
+** error status -2 is theoretically impossible. In all error cases,
+** all three results are set to -1e9.
+**
+** 4) The inverse transformation is performed in the function eraGd2gc.
+**
+** Called:
+** eraEform Earth reference ellipsoids
+** eraGc2gde geocentric to geodetic transformation, general
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int j;
+ double a, f;
+
+
+/* Obtain reference ellipsoid parameters. */
+ j = eraEform ( n, &a, &f );
+
+/* If OK, transform x,y,z to longitude, geodetic latitude, height. */
+ if ( j == 0 ) {
+ j = eraGc2gde ( a, f, xyz, elong, phi, height );
+ if ( j < 0 ) j = -2;
+ }
+
+/* Deal with any errors. */
+ if ( j < 0 ) {
+ *elong = -1e9;
+ *phi = -1e9;
+ *height = -1e9;
+ }
+
+/* Return the status. */
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/gc2gde.c b/src/detail/erfa/gc2gde.c
new file mode 100644
index 000000000..241ff1a4b
--- /dev/null
+++ b/src/detail/erfa/gc2gde.c
@@ -0,0 +1,213 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraGc2gde ( double a, double f, double xyz[3],
+ double *elong, double *phi, double *height )
+/*
+** - - - - - - - - - -
+** e r a G c 2 g d e
+** - - - - - - - - - -
+**
+** Transform geocentric coordinates to geodetic for a reference
+** ellipsoid of specified form.
+**
+** Given:
+** a double equatorial radius (Notes 2,4)
+** f double flattening (Note 3)
+** xyz double[3] geocentric vector (Note 4)
+**
+** Returned:
+** elong double longitude (radians, east +ve)
+** phi double latitude (geodetic, radians)
+** height double height above ellipsoid (geodetic, Note 4)
+**
+** Returned (function value):
+** int status: 0 = OK
+** -1 = illegal f
+** -2 = illegal a
+**
+** Notes:
+**
+** 1) This function is based on the GCONV2H Fortran subroutine by
+** Toshio Fukushima (see reference).
+**
+** 2) The equatorial radius, a, can be in any units, but meters is
+** the conventional choice.
+**
+** 3) The flattening, f, is (for the Earth) a value around 0.00335,
+** i.e. around 1/298.
+**
+** 4) The equatorial radius, a, and the geocentric vector, xyz,
+** must be given in the same units, and determine the units of
+** the returned height, height.
+**
+** 5) If an error occurs (status < 0), elong, phi and height are
+** unchanged.
+**
+** 6) The inverse transformation is performed in the function
+** eraGd2gce.
+**
+** 7) The transformation for a standard ellipsoid (such as ERFA_WGS84) can
+** more conveniently be performed by calling eraGc2gd, which uses a
+** numerical code to identify the required A and F values.
+**
+** Reference:
+**
+** Fukushima, T., "Transformation from Cartesian to geodetic
+** coordinates accelerated by Halley's method", J.Geodesy (2006)
+** 79: 689-693
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double aeps2, e2, e4t, ec2, ec, b, x, y, z, p2, absz, p, s0, pn, zc,
+ c0, c02, c03, s02, s03, a02, a0, a03, d0, f0, b0, s1,
+ cc, s12, cc2;
+
+
+/* ------------- */
+/* Preliminaries */
+/* ------------- */
+
+/* Validate ellipsoid parameters. */
+ if ( f < 0.0 || f >= 1.0 ) return -1;
+ if ( a <= 0.0 ) return -2;
+
+/* Functions of ellipsoid parameters (with further validation of f). */
+ aeps2 = a*a * 1e-32;
+ e2 = (2.0 - f) * f;
+ e4t = e2*e2 * 1.5;
+ ec2 = 1.0 - e2;
+ if ( ec2 <= 0.0 ) return -1;
+ ec = sqrt(ec2);
+ b = a * ec;
+
+/* Cartesian components. */
+ x = xyz[0];
+ y = xyz[1];
+ z = xyz[2];
+
+/* Distance from polar axis squared. */
+ p2 = x*x + y*y;
+
+/* Longitude. */
+ *elong = p2 > 0.0 ? atan2(y, x) : 0.0;
+
+/* Unsigned z-coordinate. */
+ absz = fabs(z);
+
+/* Proceed unless polar case. */
+ if ( p2 > aeps2 ) {
+
+ /* Distance from polar axis. */
+ p = sqrt(p2);
+
+ /* Normalization. */
+ s0 = absz / a;
+ pn = p / a;
+ zc = ec * s0;
+
+ /* Prepare Newton correction factors. */
+ c0 = ec * pn;
+ c02 = c0 * c0;
+ c03 = c02 * c0;
+ s02 = s0 * s0;
+ s03 = s02 * s0;
+ a02 = c02 + s02;
+ a0 = sqrt(a02);
+ a03 = a02 * a0;
+ d0 = zc*a03 + e2*s03;
+ f0 = pn*a03 - e2*c03;
+
+ /* Prepare Halley correction factor. */
+ b0 = e4t * s02 * c02 * pn * (a0 - ec);
+ s1 = d0*f0 - b0*s0;
+ cc = ec * (f0*f0 - b0*c0);
+
+ /* Evaluate latitude and height. */
+ *phi = atan(s1/cc);
+ s12 = s1 * s1;
+ cc2 = cc * cc;
+ *height = (p*cc + absz*s1 - a * sqrt(ec2*s12 + cc2)) /
+ sqrt(s12 + cc2);
+ } else {
+
+ /* Exception: pole. */
+ *phi = ERFA_DPI / 2.0;
+ *height = absz - b;
+ }
+
+/* Restore sign of latitude. */
+ if ( z < 0 ) *phi = -*phi;
+
+/* OK status. */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/gd2gc.c b/src/detail/erfa/gd2gc.c
new file mode 100644
index 000000000..43cd2307e
--- /dev/null
+++ b/src/detail/erfa/gd2gc.c
@@ -0,0 +1,147 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraGd2gc ( int n, double elong, double phi, double height,
+ double xyz[3] )
+/*
+** - - - - - - - - -
+** e r a G d 2 g c
+** - - - - - - - - -
+**
+** Transform geodetic coordinates to geocentric using the specified
+** reference ellipsoid.
+**
+** Given:
+** n int ellipsoid identifier (Note 1)
+** elong double longitude (radians, east +ve, Note 3)
+** phi double latitude (geodetic, radians, Note 3)
+** height double height above ellipsoid (geodetic, Notes 2,3)
+**
+** Returned:
+** xyz double[3] geocentric vector (Note 2)
+**
+** Returned (function value):
+** int status: 0 = OK
+** -1 = illegal identifier (Note 3)
+** -2 = illegal case (Note 3)
+**
+** Notes:
+**
+** 1) The identifier n is a number that specifies the choice of
+** reference ellipsoid. The following are supported:
+**
+** n ellipsoid
+**
+** 1 ERFA_WGS84
+** 2 ERFA_GRS80
+** 3 ERFA_WGS72
+**
+** The n value has no significance outside the ERFA software. For
+** convenience, symbols ERFA_WGS84 etc. are defined in erfam.h.
+**
+** 2) The height (height, given) and the geocentric vector (xyz,
+** returned) are in meters.
+**
+** 3) No validation is performed on the arguments elong, phi and
+** height. An error status -1 means that the identifier n is
+** illegal. An error status -2 protects against cases that would
+** lead to arithmetic exceptions. In all error cases, xyz is set
+** to zeros.
+**
+** 4) The inverse transformation is performed in the function eraGc2gd.
+**
+** Called:
+** eraEform Earth reference ellipsoids
+** eraGd2gce geodetic to geocentric transformation, general
+** eraZp zero p-vector
+**
+** This revision: 2023 March 9
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int j;
+ double a, f;
+
+
+/* Obtain reference ellipsoid parameters. */
+ j = eraEform ( n, &a, &f );
+
+/* If OK, transform longitude, geodetic latitude, height to x,y,z. */
+ if ( j == 0 ) {
+ j = eraGd2gce ( a, f, elong, phi, height, xyz );
+ if ( j != 0 ) j = -2;
+ }
+
+/* Deal with any errors. */
+ if ( j != 0 ) eraZp ( xyz );
+
+/* Return the status. */
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/gd2gce.c b/src/detail/erfa/gd2gce.c
new file mode 100644
index 000000000..c8f76d8f8
--- /dev/null
+++ b/src/detail/erfa/gd2gce.c
@@ -0,0 +1,151 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraGd2gce ( double a, double f, double elong, double phi,
+ double height, double xyz[3] )
+/*
+** - - - - - - - - - -
+** e r a G d 2 g c e
+** - - - - - - - - - -
+**
+** Transform geodetic coordinates to geocentric for a reference
+** ellipsoid of specified form.
+**
+** Given:
+** a double equatorial radius (Notes 1,3,4)
+** f double flattening (Notes 2,4)
+** elong double longitude (radians, east +ve, Note 4)
+** phi double latitude (geodetic, radians, Note 4)
+** height double height above ellipsoid (geodetic, Notes 3,4)
+**
+** Returned:
+** xyz double[3] geocentric vector (Note 3)
+**
+** Returned (function value):
+** int status: 0 = OK
+** -1 = illegal case (Note 4)
+** Notes:
+**
+** 1) The equatorial radius, a, can be in any units, but meters is
+** the conventional choice.
+**
+** 2) The flattening, f, is (for the Earth) a value around 0.00335,
+** i.e. around 1/298.
+**
+** 3) The equatorial radius, a, and the height, height, must be
+** given in the same units, and determine the units of the
+** returned geocentric vector, xyz.
+**
+** 4) No validation is performed on individual arguments. The error
+** status -1 protects against (unrealistic) cases that would lead
+** to arithmetic exceptions. If an error occurs, xyz is unchanged.
+**
+** 5) The inverse transformation is performed in the function
+** eraGc2gde.
+**
+** 6) The transformation for a standard ellipsoid (such as ERFA_WGS84) can
+** more conveniently be performed by calling eraGd2gc, which uses a
+** numerical code to identify the required a and f values.
+**
+** References:
+**
+** Green, R.M., Spherical Astronomy, Cambridge University Press,
+** (1985) Section 4.5, p96.
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992),
+** Section 4.22, p202.
+**
+** This revision: 2023 March 10
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double sp, cp, w, d, ac, as, r;
+
+
+/* Functions of geodetic latitude. */
+ sp = sin(phi);
+ cp = cos(phi);
+ w = 1.0 - f;
+ w = w * w;
+ d = cp*cp + w*sp*sp;
+ if ( d <= 0.0 ) return -1;
+ ac = a / sqrt(d);
+ as = w * ac;
+
+/* Geocentric vector. */
+ r = (ac + height) * cp;
+ xyz[0] = r * cos(elong);
+ xyz[1] = r * sin(elong);
+ xyz[2] = (as + height) * sp;
+
+/* Success. */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/gmst00.c b/src/detail/erfa/gmst00.c
new file mode 100644
index 000000000..53c77dc70
--- /dev/null
+++ b/src/detail/erfa/gmst00.c
@@ -0,0 +1,159 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraGmst00(double uta, double utb, double tta, double ttb)
+/*
+** - - - - - - - - - -
+** e r a G m s t 0 0
+** - - - - - - - - - -
+**
+** Greenwich mean sidereal time (model consistent with IAU 2000
+** resolutions).
+**
+** Given:
+** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2)
+** tta,ttb double TT as a 2-part Julian Date (Notes 1,2)
+**
+** Returned (function value):
+** double Greenwich mean sidereal time (radians)
+**
+** Notes:
+**
+** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both
+** Julian Dates, apportioned in any convenient way between the
+** argument pairs. For example, JD(UT1)=2450123.7 could be
+** expressed in any of these ways, among others:
+**
+** Part A Part B
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable (in the case of UT; the TT is not at all critical
+** in this respect). The J2000 and MJD methods are good compromises
+** between resolution and convenience. For UT, the date & time
+** method is best matched to the algorithm that is used by the Earth
+** Rotation Angle function, called internally: maximum precision is
+** delivered when the uta argument is for 0hrs UT1 on the day in
+** question and the utb argument lies in the range 0 to 1, or vice
+** versa.
+**
+** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation
+** and TT to predict the effects of precession. If UT1 is used for
+** both purposes, errors of order 100 microarcseconds result.
+**
+** 3) This GMST is compatible with the IAU 2000 resolutions and must be
+** used only in conjunction with other IAU 2000 compatible
+** components such as precession-nutation and equation of the
+** equinoxes.
+**
+** 4) The result is returned in the range 0 to 2pi.
+**
+** 5) The algorithm is from Capitaine et al. (2003) and IERS
+** Conventions 2003.
+**
+** Called:
+** eraEra00 Earth rotation angle, IAU 2000
+** eraAnp normalize angle into range 0 to 2pi
+**
+** References:
+**
+** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to
+** implement the IAU 2000 definition of UT1", Astronomy &
+** Astrophysics, 406, 1135-1149 (2003)
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t, gmst;
+
+
+/* TT Julian centuries since J2000.0. */
+ t = ((tta - ERFA_DJ00) + ttb) / ERFA_DJC;
+
+/* Greenwich Mean Sidereal Time, IAU 2000. */
+ gmst = eraAnp(eraEra00(uta, utb) +
+ ( 0.014506 +
+ ( 4612.15739966 +
+ ( 1.39667721 +
+ ( -0.00009344 +
+ ( 0.00001882 )
+ * t) * t) * t) * t) * ERFA_DAS2R);
+
+ return gmst;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/gmst06.c b/src/detail/erfa/gmst06.c
new file mode 100644
index 000000000..3f081891c
--- /dev/null
+++ b/src/detail/erfa/gmst06.c
@@ -0,0 +1,150 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraGmst06(double uta, double utb, double tta, double ttb)
+/*
+** - - - - - - - - - -
+** e r a G m s t 0 6
+** - - - - - - - - - -
+**
+** Greenwich mean sidereal time (consistent with IAU 2006 precession).
+**
+** Given:
+** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2)
+** tta,ttb double TT as a 2-part Julian Date (Notes 1,2)
+**
+** Returned (function value):
+** double Greenwich mean sidereal time (radians)
+**
+** Notes:
+**
+** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both
+** Julian Dates, apportioned in any convenient way between the
+** argument pairs. For example, JD=2450123.7 could be expressed in
+** any of these ways, among others:
+**
+** Part A Part B
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable (in the case of UT; the TT is not at all critical
+** in this respect). The J2000 and MJD methods are good compromises
+** between resolution and convenience. For UT, the date & time
+** method is best matched to the algorithm that is used by the Earth
+** rotation angle function, called internally: maximum precision is
+** delivered when the uta argument is for 0hrs UT1 on the day in
+** question and the utb argument lies in the range 0 to 1, or vice
+** versa.
+**
+** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation
+** and TT to predict the effects of precession. If UT1 is used for
+** both purposes, errors of order 100 microarcseconds result.
+**
+** 3) This GMST is compatible with the IAU 2006 precession and must not
+** be used with other precession models.
+**
+** 4) The result is returned in the range 0 to 2pi.
+**
+** Called:
+** eraEra00 Earth rotation angle, IAU 2000
+** eraAnp normalize angle into range 0 to 2pi
+**
+** Reference:
+**
+** Capitaine, N., Wallace, P.T. & Chapront, J., 2005,
+** Astron.Astrophys. 432, 355
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t, gmst;
+
+
+/* TT Julian centuries since J2000.0. */
+ t = ((tta - ERFA_DJ00) + ttb) / ERFA_DJC;
+
+/* Greenwich mean sidereal time, IAU 2006. */
+ gmst = eraAnp(eraEra00(uta, utb) +
+ ( 0.014506 +
+ ( 4612.156534 +
+ ( 1.3915817 +
+ ( -0.00000044 +
+ ( -0.000029956 +
+ ( -0.0000000368 )
+ * t) * t) * t) * t) * t) * ERFA_DAS2R);
+
+ return gmst;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/gmst82.c b/src/detail/erfa/gmst82.c
new file mode 100644
index 000000000..70a1fdccc
--- /dev/null
+++ b/src/detail/erfa/gmst82.c
@@ -0,0 +1,164 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraGmst82(double dj1, double dj2)
+/*
+** - - - - - - - - - -
+** e r a G m s t 8 2
+** - - - - - - - - - -
+**
+** Universal Time to Greenwich mean sidereal time (IAU 1982 model).
+**
+** Given:
+** dj1,dj2 double UT1 Julian Date (see note)
+**
+** Returned (function value):
+** double Greenwich mean sidereal time (radians)
+**
+** Notes:
+**
+** 1) The UT1 date dj1+dj2 is a Julian Date, apportioned in any
+** convenient way between the arguments dj1 and dj2. For example,
+** JD(UT1)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** dj1 dj2
+**
+** 2450123.7 0 (JD method)
+** 2451545 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 and MJD methods are good compromises
+** between resolution and convenience. The date & time method is
+** best matched to the algorithm used: maximum accuracy (or, at
+** least, minimum noise) is delivered when the dj1 argument is for
+** 0hrs UT1 on the day in question and the dj2 argument lies in the
+** range 0 to 1, or vice versa.
+**
+** 2) The algorithm is based on the IAU 1982 expression. This is
+** always described as giving the GMST at 0 hours UT1. In fact, it
+** gives the difference between the GMST and the UT, the steady
+** 4-minutes-per-day drawing-ahead of ST with respect to UT. When
+** whole days are ignored, the expression happens to equal the GMST
+** at 0 hours UT1 each day.
+**
+** 3) In this function, the entire UT1 (the sum of the two arguments
+** dj1 and dj2) is used directly as the argument for the standard
+** formula, the constant term of which is adjusted by 12 hours to
+** take account of the noon phasing of Julian Date. The UT1 is then
+** added, but omitting whole days to conserve accuracy.
+**
+** Called:
+** eraAnp normalize angle into range 0 to 2pi
+**
+** References:
+**
+** Transactions of the International Astronomical Union,
+** XVIII B, 67 (1983).
+**
+** Aoki et al., Astron.Astrophys., 105, 359-361 (1982).
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Coefficients of IAU 1982 GMST-UT1 model */
+ double A = 24110.54841 - ERFA_DAYSEC / 2.0;
+ double B = 8640184.812866;
+ double C = 0.093104;
+ double D = -6.2e-6;
+
+/* The first constant, A, has to be adjusted by 12 hours because the */
+/* UT1 is supplied as a Julian date, which begins at noon. */
+
+ double d1, d2, t, f, gmst;
+
+
+/* Julian centuries since fundamental epoch. */
+ if (dj1 < dj2) {
+ d1 = dj1;
+ d2 = dj2;
+ } else {
+ d1 = dj2;
+ d2 = dj1;
+ }
+ t = (d1 + (d2 - ERFA_DJ00)) / ERFA_DJC;
+
+/* Fractional part of JD(UT1), in seconds. */
+ f = ERFA_DAYSEC * (fmod(d1, 1.0) + fmod(d2, 1.0));
+
+/* GMST at this UT1. */
+ gmst = eraAnp(ERFA_DS2R * ((A + (B + (C + D * t) * t) * t) + f));
+
+ return gmst;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/gst00a.c b/src/detail/erfa/gst00a.c
new file mode 100644
index 000000000..0af4a797a
--- /dev/null
+++ b/src/detail/erfa/gst00a.c
@@ -0,0 +1,151 @@
+#include "erfa.h"
+
+double eraGst00a(double uta, double utb, double tta, double ttb)
+/*
+** - - - - - - - - - -
+** e r a G s t 0 0 a
+** - - - - - - - - - -
+**
+** Greenwich apparent sidereal time (consistent with IAU 2000
+** resolutions).
+**
+** Given:
+** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2)
+** tta,ttb double TT as a 2-part Julian Date (Notes 1,2)
+**
+** Returned (function value):
+** double Greenwich apparent sidereal time (radians)
+**
+** Notes:
+**
+** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both
+** Julian Dates, apportioned in any convenient way between the
+** argument pairs. For example, JD(UT1)=2450123.7 could be
+** expressed in any of these ways, among others:
+**
+** uta utb
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable (in the case of UT; the TT is not at all critical
+** in this respect). The J2000 and MJD methods are good compromises
+** between resolution and convenience. For UT, the date & time
+** method is best matched to the algorithm that is used by the Earth
+** Rotation Angle function, called internally: maximum precision is
+** delivered when the uta argument is for 0hrs UT1 on the day in
+** question and the utb argument lies in the range 0 to 1, or vice
+** versa.
+**
+** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation
+** and TT to predict the effects of precession-nutation. If UT1 is
+** used for both purposes, errors of order 100 microarcseconds
+** result.
+**
+** 3) This GAST is compatible with the IAU 2000 resolutions and must be
+** used only in conjunction with other IAU 2000 compatible
+** components such as precession-nutation.
+**
+** 4) The result is returned in the range 0 to 2pi.
+**
+** 5) The algorithm is from Capitaine et al. (2003) and IERS
+** Conventions 2003.
+**
+** Called:
+** eraGmst00 Greenwich mean sidereal time, IAU 2000
+** eraEe00a equation of the equinoxes, IAU 2000A
+** eraAnp normalize angle into range 0 to 2pi
+**
+** References:
+**
+** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to
+** implement the IAU 2000 definition of UT1", Astronomy &
+** Astrophysics, 406, 1135-1149 (2003)
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double gmst00, ee00a, gst;
+
+
+ gmst00 = eraGmst00(uta, utb, tta, ttb);
+ ee00a = eraEe00a(tta, ttb);
+ gst = eraAnp(gmst00 + ee00a);
+
+ return gst;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/gst00b.c b/src/detail/erfa/gst00b.c
new file mode 100644
index 000000000..a60002902
--- /dev/null
+++ b/src/detail/erfa/gst00b.c
@@ -0,0 +1,159 @@
+#include "erfa.h"
+
+double eraGst00b(double uta, double utb)
+/*
+** - - - - - - - - - -
+** e r a G s t 0 0 b
+** - - - - - - - - - -
+**
+** Greenwich apparent sidereal time (consistent with IAU 2000
+** resolutions but using the truncated nutation model IAU 2000B).
+**
+** Given:
+** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2)
+**
+** Returned (function value):
+** double Greenwich apparent sidereal time (radians)
+**
+** Notes:
+**
+** 1) The UT1 date uta+utb is a Julian Date, apportioned in any
+** convenient way between the argument pair. For example,
+** JD(UT1)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** uta utb
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 and MJD methods are good compromises
+** between resolution and convenience. For UT, the date & time
+** method is best matched to the algorithm that is used by the Earth
+** Rotation Angle function, called internally: maximum precision is
+** delivered when the uta argument is for 0hrs UT1 on the day in
+** question and the utb argument lies in the range 0 to 1, or vice
+** versa.
+**
+** 2) The result is compatible with the IAU 2000 resolutions, except
+** that accuracy has been compromised for the sake of speed and
+** convenience in two respects:
+**
+** . UT is used instead of TDB (or TT) to compute the precession
+** component of GMST and the equation of the equinoxes. This
+** results in errors of order 0.1 mas at present.
+**
+** . The IAU 2000B abridged nutation model (McCarthy & Luzum, 2003)
+** is used, introducing errors of up to 1 mas.
+**
+** 3) This GAST is compatible with the IAU 2000 resolutions and must be
+** used only in conjunction with other IAU 2000 compatible
+** components such as precession-nutation.
+**
+** 4) The result is returned in the range 0 to 2pi.
+**
+** 5) The algorithm is from Capitaine et al. (2003) and IERS
+** Conventions 2003.
+**
+** Called:
+** eraGmst00 Greenwich mean sidereal time, IAU 2000
+** eraEe00b equation of the equinoxes, IAU 2000B
+** eraAnp normalize angle into range 0 to 2pi
+**
+** References:
+**
+** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to
+** implement the IAU 2000 definition of UT1", Astronomy &
+** Astrophysics, 406, 1135-1149 (2003)
+**
+** McCarthy, D.D. & Luzum, B.J., "An abridged model of the
+** precession-nutation of the celestial pole", Celestial Mechanics &
+** Dynamical Astronomy, 85, 37-49 (2003)
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double gmst00, ee00b, gst;
+
+
+ gmst00 = eraGmst00(uta, utb, uta, utb);
+ ee00b = eraEe00b(uta, utb);
+ gst = eraAnp(gmst00 + ee00b);
+
+ return gst;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/gst06.c b/src/detail/erfa/gst06.c
new file mode 100644
index 000000000..45bad66f7
--- /dev/null
+++ b/src/detail/erfa/gst06.c
@@ -0,0 +1,153 @@
+#include "erfa.h"
+
+double eraGst06(double uta, double utb, double tta, double ttb,
+ double rnpb[3][3])
+/*
+** - - - - - - - - -
+** e r a G s t 0 6
+** - - - - - - - - -
+**
+** Greenwich apparent sidereal time, IAU 2006, given the NPB matrix.
+**
+** Given:
+** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2)
+** tta,ttb double TT as a 2-part Julian Date (Notes 1,2)
+** rnpb double[3][3] nutation x precession x bias matrix
+**
+** Returned (function value):
+** double Greenwich apparent sidereal time (radians)
+**
+** Notes:
+**
+** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both
+** Julian Dates, apportioned in any convenient way between the
+** argument pairs. For example, JD(UT1)=2450123.7 could be
+** expressed in any of these ways, among others:
+**
+** uta utb
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable (in the case of UT; the TT is not at all critical
+** in this respect). The J2000 and MJD methods are good compromises
+** between resolution and convenience. For UT, the date & time
+** method is best matched to the algorithm that is used by the Earth
+** rotation angle function, called internally: maximum precision is
+** delivered when the uta argument is for 0hrs UT1 on the day in
+** question and the utb argument lies in the range 0 to 1, or vice
+** versa.
+**
+** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation
+** and TT to predict the effects of precession-nutation. If UT1 is
+** used for both purposes, errors of order 100 microarcseconds
+** result.
+**
+** 3) Although the function uses the IAU 2006 series for s+XY/2, it is
+** otherwise independent of the precession-nutation model and can in
+** practice be used with any equinox-based NPB matrix.
+**
+** 4) The result is returned in the range 0 to 2pi.
+**
+** Called:
+** eraBpn2xy extract CIP X,Y coordinates from NPB matrix
+** eraS06 the CIO locator s, given X,Y, IAU 2006
+** eraAnp normalize angle into range 0 to 2pi
+** eraEra00 Earth rotation angle, IAU 2000
+** eraEors equation of the origins, given NPB matrix and s
+**
+** Reference:
+**
+** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double x, y, s, era, eors, gst;
+
+
+/* Extract CIP coordinates. */
+ eraBpn2xy(rnpb, &x, &y);
+
+/* The CIO locator, s. */
+ s = eraS06(tta, ttb, x, y);
+
+/* Greenwich apparent sidereal time. */
+ era = eraEra00(uta, utb);
+ eors = eraEors(rnpb, s);
+ gst = eraAnp(era - eors);
+
+ return gst;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/gst06a.c b/src/detail/erfa/gst06a.c
new file mode 100644
index 000000000..ccbc1c5b2
--- /dev/null
+++ b/src/detail/erfa/gst06a.c
@@ -0,0 +1,144 @@
+#include "erfa.h"
+
+double eraGst06a(double uta, double utb, double tta, double ttb)
+/*
+** - - - - - - - - - -
+** e r a G s t 0 6 a
+** - - - - - - - - - -
+**
+** Greenwich apparent sidereal time (consistent with IAU 2000 and 2006
+** resolutions).
+**
+** Given:
+** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2)
+** tta,ttb double TT as a 2-part Julian Date (Notes 1,2)
+**
+** Returned (function value):
+** double Greenwich apparent sidereal time (radians)
+**
+** Notes:
+**
+** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both
+** Julian Dates, apportioned in any convenient way between the
+** argument pairs. For example, JD(UT1)=2450123.7 could be
+** expressed in any of these ways, among others:
+**
+** uta utb
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable (in the case of UT; the TT is not at all critical
+** in this respect). The J2000 and MJD methods are good compromises
+** between resolution and convenience. For UT, the date & time
+** method is best matched to the algorithm that is used by the Earth
+** rotation angle function, called internally: maximum precision is
+** delivered when the uta argument is for 0hrs UT1 on the day in
+** question and the utb argument lies in the range 0 to 1, or vice
+** versa.
+**
+** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation
+** and TT to predict the effects of precession-nutation. If UT1 is
+** used for both purposes, errors of order 100 microarcseconds
+** result.
+**
+** 3) This GAST is compatible with the IAU 2000/2006 resolutions and
+** must be used only in conjunction with IAU 2006 precession and
+** IAU 2000A nutation.
+**
+** 4) The result is returned in the range 0 to 2pi.
+**
+** Called:
+** eraPnm06a classical NPB matrix, IAU 2006/2000A
+** eraGst06 Greenwich apparent ST, IAU 2006, given NPB matrix
+**
+** Reference:
+**
+** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rnpb[3][3], gst;
+
+
+/* Classical nutation x precession x bias matrix, IAU 2000A. */
+ eraPnm06a(tta, ttb, rnpb);
+
+/* Greenwich apparent sidereal time. */
+ gst = eraGst06(uta, utb, tta, ttb, rnpb);
+
+ return gst;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/gst94.c b/src/detail/erfa/gst94.c
new file mode 100644
index 000000000..cc08d50a3
--- /dev/null
+++ b/src/detail/erfa/gst94.c
@@ -0,0 +1,144 @@
+#include "erfa.h"
+
+double eraGst94(double uta, double utb)
+/*
+** - - - - - - - - -
+** e r a G s t 9 4
+** - - - - - - - - -
+**
+** Greenwich apparent sidereal time (consistent with IAU 1982/94
+** resolutions).
+**
+** Given:
+** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2)
+**
+** Returned (function value):
+** double Greenwich apparent sidereal time (radians)
+**
+** Notes:
+**
+** 1) The UT1 date uta+utb is a Julian Date, apportioned in any
+** convenient way between the argument pair. For example,
+** JD(UT1)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** uta utb
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 and MJD methods are good compromises
+** between resolution and convenience. For UT, the date & time
+** method is best matched to the algorithm that is used by the Earth
+** Rotation Angle function, called internally: maximum precision is
+** delivered when the uta argument is for 0hrs UT1 on the day in
+** question and the utb argument lies in the range 0 to 1, or vice
+** versa.
+**
+** 2) The result is compatible with the IAU 1982 and 1994 resolutions,
+** except that accuracy has been compromised for the sake of
+** convenience in that UT is used instead of TDB (or TT) to compute
+** the equation of the equinoxes.
+**
+** 3) This GAST must be used only in conjunction with contemporaneous
+** IAU standards such as 1976 precession, 1980 obliquity and 1982
+** nutation. It is not compatible with the IAU 2000 resolutions.
+**
+** 4) The result is returned in the range 0 to 2pi.
+**
+** Called:
+** eraGmst82 Greenwich mean sidereal time, IAU 1982
+** eraEqeq94 equation of the equinoxes, IAU 1994
+** eraAnp normalize angle into range 0 to 2pi
+**
+** References:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992)
+**
+** IAU Resolution C7, Recommendation 3 (1994)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double gmst82, eqeq94, gst;
+
+
+ gmst82 = eraGmst82(uta, utb);
+ eqeq94 = eraEqeq94(uta, utb);
+ gst = eraAnp(gmst82 + eqeq94);
+
+ return gst;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/h2fk5.c b/src/detail/erfa/h2fk5.c
new file mode 100644
index 000000000..a9f73d7e7
--- /dev/null
+++ b/src/detail/erfa/h2fk5.c
@@ -0,0 +1,159 @@
+#include "erfa.h"
+
+void eraH2fk5(double rh, double dh,
+ double drh, double ddh, double pxh, double rvh,
+ double *r5, double *d5,
+ double *dr5, double *dd5, double *px5, double *rv5)
+/*
+** - - - - - - - - -
+** e r a H 2 f k 5
+** - - - - - - - - -
+**
+** Transform Hipparcos star data into the FK5 (J2000.0) system.
+**
+** Given (all Hipparcos, epoch J2000.0):
+** rh double RA (radians)
+** dh double Dec (radians)
+** drh double proper motion in RA (dRA/dt, rad/Jyear)
+** ddh double proper motion in Dec (dDec/dt, rad/Jyear)
+** pxh double parallax (arcsec)
+** rvh double radial velocity (km/s, positive = receding)
+**
+** Returned (all FK5, equinox J2000.0, epoch J2000.0):
+** r5 double RA (radians)
+** d5 double Dec (radians)
+** dr5 double proper motion in RA (dRA/dt, rad/Jyear)
+** dd5 double proper motion in Dec (dDec/dt, rad/Jyear)
+** px5 double parallax (arcsec)
+** rv5 double radial velocity (km/s, positive = receding)
+**
+** Notes:
+**
+** 1) This function transforms Hipparcos star positions and proper
+** motions into FK5 J2000.0.
+**
+** 2) The proper motions in RA are dRA/dt rather than
+** cos(Dec)*dRA/dt, and are per year rather than per century.
+**
+** 3) The FK5 to Hipparcos transformation is modeled as a pure
+** rotation and spin; zonal errors in the FK5 catalog are not
+** taken into account.
+**
+** 4) See also eraFk52h, eraFk5hz, eraHfk5z.
+**
+** Called:
+** eraStarpv star catalog data to space motion pv-vector
+** eraFk5hip FK5 to Hipparcos rotation and spin
+** eraRv2m r-vector to r-matrix
+** eraRxp product of r-matrix and p-vector
+** eraTrxp product of transpose of r-matrix and p-vector
+** eraPxp vector product of two p-vectors
+** eraPmp p-vector minus p-vector
+** eraPvstar space motion pv-vector to star catalog data
+**
+** Reference:
+**
+** F.Mignard & M.Froeschle, Astron.Astrophys., 354, 732-739 (2000).
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int i;
+ double pvh[2][3], r5h[3][3], s5h[3], sh[3], wxp[3], vv[3], pv5[2][3];
+
+
+/* Hipparcos barycentric position/velocity pv-vector (normalized). */
+ eraStarpv(rh, dh, drh, ddh, pxh, rvh, pvh);
+
+/* FK5 to Hipparcos orientation matrix and spin vector. */
+ eraFk5hip(r5h, s5h);
+
+/* Make spin units per day instead of per year. */
+ for ( i = 0; i < 3; s5h[i++] /= 365.25 );
+
+/* Orient the spin into the Hipparcos system. */
+ eraRxp(r5h, s5h, sh);
+
+/* De-orient the Hipparcos position into the FK5 system. */
+ eraTrxp(r5h, pvh[0], pv5[0]);
+
+/* Apply spin to the position giving an extra space motion component. */
+ eraPxp(pvh[0], sh, wxp);
+
+/* Subtract this component from the Hipparcos space motion. */
+ eraPmp(pvh[1], wxp, vv);
+
+/* De-orient the Hipparcos space motion into the FK5 system. */
+ eraTrxp(r5h, vv, pv5[1]);
+
+/* FK5 pv-vector to spherical. */
+ eraPvstar(pv5, r5, d5, dr5, dd5, px5, rv5);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/hd2ae.c b/src/detail/erfa/hd2ae.c
new file mode 100644
index 000000000..73635b649
--- /dev/null
+++ b/src/detail/erfa/hd2ae.c
@@ -0,0 +1,153 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraHd2ae (double ha, double dec, double phi,
+ double *az, double *el)
+/*
+** - - - - - - - - -
+** e r a H d 2 a e
+** - - - - - - - - -
+**
+** Equatorial to horizon coordinates: transform hour angle and
+** declination to azimuth and altitude.
+**
+** Given:
+** ha double hour angle (local)
+** dec double declination
+** phi double site latitude
+**
+** Returned:
+** *az double azimuth
+** *el double altitude (informally, elevation)
+**
+** Notes:
+**
+** 1) All the arguments are angles in radians.
+**
+** 2) Azimuth is returned in the range 0-2pi; north is zero, and east
+** is +pi/2. Altitude is returned in the range +/- pi/2.
+**
+** 3) The latitude phi is pi/2 minus the angle between the Earth's
+** rotation axis and the adopted zenith. In many applications it
+** will be sufficient to use the published geodetic latitude of the
+** site. In very precise (sub-arcsecond) applications, phi can be
+** corrected for polar motion.
+**
+** 4) The returned azimuth az is with respect to the rotational north
+** pole, as opposed to the ITRS pole, and for sub-arcsecond
+** accuracy will need to be adjusted for polar motion if it is to
+** be with respect to north on a map of the Earth's surface.
+**
+** 5) Should the user wish to work with respect to the astronomical
+** zenith rather than the geodetic zenith, phi will need to be
+** adjusted for deflection of the vertical (often tens of
+** arcseconds), and the zero point of the hour angle ha will also
+** be affected.
+**
+** 6) The transformation is the same as Vh = Rz(pi)*Ry(pi/2-phi)*Ve,
+** where Vh and Ve are lefthanded unit vectors in the (az,el) and
+** (ha,dec) systems respectively and Ry and Rz are rotations about
+** first the y-axis and then the z-axis. (n.b. Rz(pi) simply
+** reverses the signs of the x and y components.) For efficiency,
+** the algorithm is written out rather than calling other utility
+** functions. For applications that require even greater
+** efficiency, additional savings are possible if constant terms
+** such as functions of latitude are computed once and for all.
+**
+** 7) Again for efficiency, no range checking of arguments is carried
+** out.
+**
+** Last revision: 2021 February 24
+**
+** ERFA release 2023-10-11
+**
+** Copyright (C) 2023 IAU ERFA Board. See notes at end.
+*/
+{
+ double sh, ch, sd, cd, sp, cp, x, y, z, r, a;
+
+
+/* Useful trig functions. */
+ sh = sin(ha);
+ ch = cos(ha);
+ sd = sin(dec);
+ cd = cos(dec);
+ sp = sin(phi);
+ cp = cos(phi);
+
+/* Az,Alt unit vector. */
+ x = - ch*cd*sp + sd*cp;
+ y = - sh*cd;
+ z = ch*cd*cp + sd*sp;
+
+/* To spherical. */
+ r = sqrt(x*x + y*y);
+ a = (r != 0.0) ? atan2(y,x) : 0.0;
+ *az = (a < 0.0) ? a+ERFA_D2PI : a;
+ *el = atan2(z,r);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/hd2pa.c b/src/detail/erfa/hd2pa.c
new file mode 100644
index 000000000..3f3138d6d
--- /dev/null
+++ b/src/detail/erfa/hd2pa.c
@@ -0,0 +1,126 @@
+#include "erfa.h"
+
+double eraHd2pa (double ha, double dec, double phi)
+/*
+** - - - - - - - - -
+** e r a H d 2 p a
+** - - - - - - - - -
+**
+** Parallactic angle for a given hour angle and declination.
+**
+** Given:
+** ha double hour angle
+** dec double declination
+** phi double site latitude
+**
+** Returned (function value):
+** double parallactic angle
+**
+** Notes:
+**
+** 1) All the arguments are angles in radians.
+**
+** 2) The parallactic angle at a point in the sky is the position
+** angle of the vertical, i.e. the angle between the directions to
+** the north celestial pole and to the zenith respectively.
+**
+** 3) The result is returned in the range -pi to +pi.
+**
+** 4) At the pole itself a zero result is returned.
+**
+** 5) The latitude phi is pi/2 minus the angle between the Earth's
+** rotation axis and the adopted zenith. In many applications it
+** will be sufficient to use the published geodetic latitude of the
+** site. In very precise (sub-arcsecond) applications, phi can be
+** corrected for polar motion.
+**
+** 6) Should the user wish to work with respect to the astronomical
+** zenith rather than the geodetic zenith, phi will need to be
+** adjusted for deflection of the vertical (often tens of
+** arcseconds), and the zero point of the hour angle ha will also
+** be affected.
+**
+** Reference:
+** Smart, W.M., "Spherical Astronomy", Cambridge University Press,
+** 6th edition (Green, 1977), p49.
+**
+** Last revision: 2017 September 12
+**
+** ERFA release 2023-10-11
+**
+** Copyright (C) 2023 IAU ERFA Board. See notes at end.
+*/
+{
+ double cp, cqsz, sqsz;
+
+
+ cp = cos(phi);
+ sqsz = cp*sin(ha);
+ cqsz = sin(phi)*cos(dec) - cp*sin(dec)*cos(ha);
+ return ( ( sqsz != 0.0 || cqsz != 0.0 ) ? atan2(sqsz,cqsz) : 0.0 );
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/hfk5z.c b/src/detail/erfa/hfk5z.c
new file mode 100644
index 000000000..5da615a97
--- /dev/null
+++ b/src/detail/erfa/hfk5z.c
@@ -0,0 +1,187 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraHfk5z(double rh, double dh, double date1, double date2,
+ double *r5, double *d5, double *dr5, double *dd5)
+/*
+** - - - - - - - - -
+** e r a H f k 5 z
+** - - - - - - - - -
+**
+** Transform a Hipparcos star position into FK5 J2000.0, assuming
+** zero Hipparcos proper motion.
+**
+** Given:
+** rh double Hipparcos RA (radians)
+** dh double Hipparcos Dec (radians)
+** date1,date2 double TDB date (Note 1)
+**
+** Returned (all FK5, equinox J2000.0, date date1+date2):
+** r5 double RA (radians)
+** d5 double Dec (radians)
+** dr5 double RA proper motion (rad/year, Note 4)
+** dd5 double Dec proper motion (rad/year, Note 4)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt.
+**
+** 3) The FK5 to Hipparcos transformation is modeled as a pure rotation
+** and spin; zonal errors in the FK5 catalog are not taken into
+** account.
+**
+** 4) It was the intention that Hipparcos should be a close
+** approximation to an inertial frame, so that distant objects have
+** zero proper motion; such objects have (in general) non-zero
+** proper motion in FK5, and this function returns those fictitious
+** proper motions.
+**
+** 5) The position returned by this function is in the FK5 J2000.0
+** reference system but at date date1+date2.
+**
+** 6) See also eraFk52h, eraH2fk5, eraFk5hz.
+**
+** Called:
+** eraS2c spherical coordinates to unit vector
+** eraFk5hip FK5 to Hipparcos rotation and spin
+** eraRxp product of r-matrix and p-vector
+** eraSxp multiply p-vector by scalar
+** eraRxr product of two r-matrices
+** eraTrxp product of transpose of r-matrix and p-vector
+** eraPxp vector product of two p-vectors
+** eraPv2s pv-vector to spherical
+** eraAnp normalize angle into range 0 to 2pi
+**
+** Reference:
+**
+** F.Mignard & M.Froeschle, 2000, Astron.Astrophys. 354, 732-739.
+**
+** This revision: 2023 March 7
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t, ph[3], r5h[3][3], s5h[3], sh[3], vst[3],
+ rst[3][3], r5ht[3][3], pv5e[2][3], vv[3],
+ w, r, v;
+
+
+/* Time interval from fundamental epoch J2000.0 to given date (JY). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJY;
+
+/* Hipparcos barycentric position vector (normalized). */
+ eraS2c(rh, dh, ph);
+
+/* FK5 to Hipparcos orientation matrix and spin vector. */
+ eraFk5hip(r5h, s5h);
+
+/* Rotate the spin into the Hipparcos system. */
+ eraRxp(r5h, s5h, sh);
+
+/* Accumulated Hipparcos wrt FK5 spin over that interval. */
+ eraSxp(t, s5h, vst);
+
+/* Express the accumulated spin as a rotation matrix. */
+ eraRv2m(vst, rst);
+
+/* Rotation matrix: accumulated spin, then FK5 to Hipparcos. */
+ eraRxr(r5h, rst, r5ht);
+
+/* De-orient & de-spin the Hipparcos position into FK5 J2000.0. */
+ eraTrxp(r5ht, ph, pv5e[0]);
+
+/* Apply spin to the position giving a space motion. */
+ eraPxp(sh, ph, vv);
+
+/* De-orient & de-spin the Hipparcos space motion into FK5 J2000.0. */
+ eraTrxp(r5ht, vv, pv5e[1]);
+
+/* FK5 position/velocity pv-vector to spherical. */
+ eraPv2s(pv5e, &w, d5, &r, dr5, dd5, &v);
+ *r5 = eraAnp(w);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/icrs2g.c b/src/detail/erfa/icrs2g.c
new file mode 100644
index 000000000..6db05ecb0
--- /dev/null
+++ b/src/detail/erfa/icrs2g.c
@@ -0,0 +1,172 @@
+#include "erfa.h"
+
+void eraIcrs2g ( double dr, double dd, double *dl, double *db )
+/*
+** - - - - - - - - - -
+** e r a I c r s 2 g
+** - - - - - - - - - -
+**
+** Transformation from ICRS to Galactic coordinates.
+**
+** Given:
+** dr double ICRS right ascension (radians)
+** dd double ICRS declination (radians)
+**
+** Returned:
+** dl double Galactic longitude (radians)
+** db double Galactic latitude (radians)
+**
+** Notes:
+**
+** 1) The IAU 1958 system of Galactic coordinates was defined with
+** respect to the now obsolete reference system FK4 B1950.0. When
+** interpreting the system in a modern context, several factors have
+** to be taken into account:
+**
+** . The inclusion in FK4 positions of the E-terms of aberration.
+**
+** . The distortion of the FK4 proper motion system by differential
+** Galactic rotation.
+**
+** . The use of the B1950.0 equinox rather than the now-standard
+** J2000.0.
+**
+** . The frame bias between ICRS and the J2000.0 mean place system.
+**
+** The Hipparcos Catalogue (Perryman & ESA 1997) provides a rotation
+** matrix that transforms directly between ICRS and Galactic
+** coordinates with the above factors taken into account. The
+** matrix is derived from three angles, namely the ICRS coordinates
+** of the Galactic pole and the longitude of the ascending node of
+** the Galactic equator on the ICRS equator. They are given in
+** degrees to five decimal places and for canonical purposes are
+** regarded as exact. In the Hipparcos Catalogue the matrix
+** elements are given to 10 decimal places (about 20 microarcsec).
+** In the present ERFA function the matrix elements have been
+** recomputed from the canonical three angles and are given to 30
+** decimal places.
+**
+** 2) The inverse transformation is performed by the function eraG2icrs.
+**
+** Called:
+** eraAnp normalize angle into range 0 to 2pi
+** eraAnpm normalize angle into range +/- pi
+** eraS2c spherical coordinates to unit vector
+** eraRxp product of r-matrix and p-vector
+** eraC2s p-vector to spherical
+**
+** Reference:
+** Perryman M.A.C. & ESA, 1997, ESA SP-1200, The Hipparcos and Tycho
+** catalogues. Astrometric and photometric star catalogues
+** derived from the ESA Hipparcos Space Astrometry Mission. ESA
+** Publications Division, Noordwijk, Netherlands.
+**
+** This revision: 2023 April 16
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double v1[3], v2[3];
+
+/*
+** L2,B2 system of Galactic coordinates in the form presented in the
+** Hipparcos Catalogue. In degrees:
+**
+** P = 192.85948 right ascension of the Galactic north pole in ICRS
+** Q = 27.12825 declination of the Galactic north pole in ICRS
+** R = 32.93192 Galactic longitude of the ascending node of
+** the Galactic equator on the ICRS equator
+**
+** ICRS to Galactic rotation matrix, obtained by computing
+** R_3(-R) R_1(pi/2-Q) R_3(pi/2+P) to the full precision shown:
+*/
+ double r[3][3] = { { -0.054875560416215368492398900454,
+ -0.873437090234885048760383168409,
+ -0.483835015548713226831774175116 },
+ { +0.494109427875583673525222371358,
+ -0.444829629960011178146614061616,
+ +0.746982244497218890527388004556 },
+ { -0.867666149019004701181616534570,
+ -0.198076373431201528180486091412,
+ +0.455983776175066922272100478348 } };
+
+
+/* Spherical to Cartesian. */
+ eraS2c(dr, dd, v1);
+
+/* ICRS to Galactic. */
+ eraRxp(r, v1, v2);
+
+/* Cartesian to spherical. */
+ eraC2s(v2, dl, db);
+
+/* Express in conventional ranges. */
+ *dl = eraAnp(*dl);
+ *db = eraAnpm(*db);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ir.c b/src/detail/erfa/ir.c
new file mode 100644
index 000000000..6b6c8dcd7
--- /dev/null
+++ b/src/detail/erfa/ir.c
@@ -0,0 +1,94 @@
+#include "erfa.h"
+
+void eraIr(double r[3][3])
+/*
+** - - - - - -
+** e r a I r
+** - - - - - -
+**
+** Initialize an r-matrix to the identity matrix.
+**
+** Returned:
+** r double[3][3] r-matrix
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ r[0][0] = 1.0;
+ r[0][1] = 0.0;
+ r[0][2] = 0.0;
+ r[1][0] = 0.0;
+ r[1][1] = 1.0;
+ r[1][2] = 0.0;
+ r[2][0] = 0.0;
+ r[2][1] = 0.0;
+ r[2][2] = 1.0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/jd2cal.c b/src/detail/erfa/jd2cal.c
new file mode 100644
index 000000000..47ec45be1
--- /dev/null
+++ b/src/detail/erfa/jd2cal.c
@@ -0,0 +1,212 @@
+#include "erfa.h"
+#include "erfam.h"
+#include <float.h>
+
+int eraJd2cal(double dj1, double dj2,
+ int *iy, int *im, int *id, double *fd)
+/*
+** - - - - - - - - - -
+** e r a J d 2 c a l
+** - - - - - - - - - -
+**
+** Julian Date to Gregorian year, month, day, and fraction of a day.
+**
+** Given:
+** dj1,dj2 double Julian Date (Notes 1, 2)
+**
+** Returned (arguments):
+** iy int year
+** im int month
+** id int day
+** fd double fraction of day
+**
+** Returned (function value):
+** int status:
+** 0 = OK
+** -1 = unacceptable date (Note 1)
+**
+** Notes:
+**
+** 1) The earliest valid date is -68569.5 (-4900 March 1). The
+** largest value accepted is 1e9.
+**
+** 2) The Julian Date is apportioned in any convenient way between
+** the arguments dj1 and dj2. For example, JD=2450123.7 could
+** be expressed in any of these ways, among others:
+**
+** dj1 dj2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** Separating integer and fraction uses the "compensated summation"
+** algorithm of Kahan-Neumaier to preserve as much precision as
+** possible irrespective of the jd1+jd2 apportionment.
+**
+** 3) In early eras the conversion is from the "proleptic Gregorian
+** calendar"; no account is taken of the date(s) of adoption of
+** the Gregorian calendar, nor is the AD/BC numbering convention
+** observed.
+**
+** References:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992),
+** Section 12.92 (p604).
+**
+** Klein, A., A Generalized Kahan-Babuska-Summation-Algorithm.
+** Computing, 76, 279-293 (2006), Section 3.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Minimum and maximum allowed JD */
+ const double DJMIN = -68569.5;
+ const double DJMAX = 1e9;
+
+ long jd, i, l, n, k;
+ double dj, f1, f2, d, s, cs, v[2], x, t, f;
+
+
+/* Verify date is acceptable. */
+ dj = dj1 + dj2;
+ if (dj < DJMIN || dj > DJMAX) return -1;
+
+/* Separate day and fraction (where -0.5 <= fraction < 0.5). */
+ d = ERFA_DNINT(dj1);
+ f1 = dj1 - d;
+ jd = (long) d;
+ d = ERFA_DNINT(dj2);
+ f2 = dj2 - d;
+ jd += (long) d;
+
+/* Compute f1+f2+0.5 using compensated summation (Klein 2006). */
+ s = 0.5;
+ cs = 0.0;
+ v[0] = f1;
+ v[1] = f2;
+ for ( i = 0; i < 2; i++ ) {
+ x = v[i];
+ t = s + x;
+ cs += fabs(s) >= fabs(x) ? (s-t) + x : (x-t) + s;
+ s = t;
+ if ( s >= 1.0 ) {
+ jd++;
+ s -= 1.0;
+ }
+ }
+ f = s + cs;
+ cs = f - s;
+
+/* Deal with negative f. */
+ if ( f < 0.0 ) {
+
+ /* Compensated summation: assume that |s| <= 1.0. */
+ f = s + 1.0;
+ cs += (1.0-f) + s;
+ s = f;
+ f = s + cs;
+ cs = f - s;
+ jd--;
+ }
+
+/* Deal with f that is 1.0 or more (when rounded to double). */
+ if ( (f-1.0) >= -DBL_EPSILON/4.0 ) {
+
+ /* Compensated summation: assume that |s| <= 1.0. */
+ t = s - 1.0;
+ cs += (s-t) - 1.0;
+ s = t;
+ f = s + cs;
+ if ( -DBL_EPSILON/2.0 < f ) {
+ jd++;
+ f = ERFA_GMAX(f, 0.0);
+ }
+ }
+
+/* Express day in Gregorian calendar. */
+ l = jd + 68569L;
+ n = (4L * l) / 146097L;
+ l -= (146097L * n + 3L) / 4L;
+ i = (4000L * (l + 1L)) / 1461001L;
+ l -= (1461L * i) / 4L - 31L;
+ k = (80L * l) / 2447L;
+ *id = (int) (l - (2447L * k) / 80L);
+ l = k / 11L;
+ *im = (int) (k + 2L - 12L * l);
+ *iy = (int) (100L * (n - 49L) + i + l);
+ *fd = f;
+
+/* Success. */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/jdcalf.c b/src/detail/erfa/jdcalf.c
new file mode 100644
index 000000000..e1cef1ffe
--- /dev/null
+++ b/src/detail/erfa/jdcalf.c
@@ -0,0 +1,187 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraJdcalf(int ndp, double dj1, double dj2, int iymdf[4])
+/*
+** - - - - - - - - - -
+** e r a J d c a l f
+** - - - - - - - - - -
+**
+** Julian Date to Gregorian Calendar, expressed in a form convenient
+** for formatting messages: rounded to a specified precision.
+**
+** Given:
+** ndp int number of decimal places of days in fraction
+** dj1,dj2 double dj1+dj2 = Julian Date (Note 1)
+**
+** Returned:
+** iymdf int[4] year, month, day, fraction in Gregorian
+** calendar
+**
+** Returned (function value):
+** int status:
+** -1 = date out of range
+** 0 = OK
+** +1 = ndp not 0-9 (interpreted as 0)
+**
+** Notes:
+**
+** 1) The Julian Date is apportioned in any convenient way between
+** the arguments dj1 and dj2. For example, JD=2450123.7 could
+** be expressed in any of these ways, among others:
+**
+** dj1 dj2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** 2) In early eras the conversion is from the "Proleptic Gregorian
+** Calendar"; no account is taken of the date(s) of adoption of
+** the Gregorian Calendar, nor is the AD/BC numbering convention
+** observed.
+**
+** 3) See also the function eraJd2cal.
+**
+** 4) The number of decimal places ndp should be 4 or less if internal
+** overflows are to be avoided on platforms which use 16-bit
+** integers.
+**
+** Called:
+** eraJd2cal JD to Gregorian calendar
+**
+** Reference:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992),
+** Section 12.92 (p604).
+**
+** This revision: 2023 January 16
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int j, js;
+ double denom, d1, d2, f1, f2, d, djd, f, rf;
+
+
+/* Denominator of fraction (e.g. 100 for 2 decimal places). */
+ if ((ndp >= 0) && (ndp <= 9)) {
+ j = 0;
+ denom = pow(10.0, ndp);
+ } else {
+ j = 1;
+ denom = 1.0;
+ }
+
+/* Copy the date, big then small. */
+ if (fabs(dj1) >= fabs(dj2)) {
+ d1 = dj1;
+ d2 = dj2;
+ } else {
+ d1 = dj2;
+ d2 = dj1;
+ }
+
+/* Realign to midnight (without rounding error). */
+ d1 -= 0.5;
+
+/* Separate day and fraction (as precisely as possible). */
+ d = ERFA_DNINT(d1);
+ f1 = d1 - d;
+ djd = d;
+ d = ERFA_DNINT(d2);
+ f2 = d2 - d;
+ djd += d;
+ d = ERFA_DNINT(f1 + f2);
+ f = (f1 - d) + f2;
+ if (f < 0.0) {
+ f += 1.0;
+ d -= 1.0;
+ }
+ djd += d;
+
+/* Round the total fraction to the specified number of places. */
+ rf = ERFA_DNINT(f*denom) / denom;
+
+/* Re-align to noon. */
+ djd += 0.5;
+
+/* Convert to Gregorian calendar. */
+ js = eraJd2cal(djd, rf, &iymdf[0], &iymdf[1], &iymdf[2], &f);
+ if (js == 0) {
+ iymdf[3] = (int) ERFA_DNINT(f * denom);
+ } else {
+ j = js;
+ }
+
+/* Return the status. */
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ld.c b/src/detail/erfa/ld.c
new file mode 100644
index 000000000..e5a808c63
--- /dev/null
+++ b/src/detail/erfa/ld.c
@@ -0,0 +1,164 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraLd(double bm, double p[3], double q[3], double e[3],
+ double em, double dlim, double p1[3])
+/*
+** - - - - - -
+** e r a L d
+** - - - - - -
+**
+** Apply light deflection by a solar-system body, as part of
+** transforming coordinate direction into natural direction.
+**
+** Given:
+** bm double mass of the gravitating body (solar masses)
+** p double[3] direction from observer to source (unit vector)
+** q double[3] direction from body to source (unit vector)
+** e double[3] direction from body to observer (unit vector)
+** em double distance from body to observer (au)
+** dlim double deflection limiter (Note 4)
+**
+** Returned:
+** p1 double[3] observer to deflected source (unit vector)
+**
+** Notes:
+**
+** 1) The algorithm is based on Expr. (70) in Klioner (2003) and
+** Expr. (7.63) in the Explanatory Supplement (Urban & Seidelmann
+** 2013), with some rearrangement to minimize the effects of machine
+** precision.
+**
+** 2) The mass parameter bm can, as required, be adjusted in order to
+** allow for such effects as quadrupole field.
+**
+** 3) The barycentric position of the deflecting body should ideally
+** correspond to the time of closest approach of the light ray to
+** the body.
+**
+** 4) The deflection limiter parameter dlim is phi^2/2, where phi is
+** the angular separation (in radians) between source and body at
+** which limiting is applied. As phi shrinks below the chosen
+** threshold, the deflection is artificially reduced, reaching zero
+** for phi = 0.
+**
+** 5) The returned vector p1 is not normalized, but the consequential
+** departure from unit magnitude is always negligible.
+**
+** 6) The arguments p and p1 can be the same array.
+**
+** 7) To accumulate total light deflection taking into account the
+** contributions from several bodies, call the present function for
+** each body in succession, in decreasing order of distance from the
+** observer.
+**
+** 8) For efficiency, validation is omitted. The supplied vectors must
+** be of unit magnitude, and the deflection limiter non-zero and
+** positive.
+**
+** References:
+**
+** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to
+** the Astronomical Almanac, 3rd ed., University Science Books
+** (2013).
+**
+** Klioner, Sergei A., "A practical relativistic model for micro-
+** arcsecond astrometry in space", Astr. J. 125, 1580-1597 (2003).
+**
+** Called:
+** eraPdp scalar product of two p-vectors
+** eraPxp vector product of two p-vectors
+**
+** This revision: 2021 February 24
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int i;
+ double qpe[3], qdqpe, w, eq[3], peq[3];
+
+
+/* q . (q + e). */
+ for (i = 0; i < 3; i++) {
+ qpe[i] = q[i] + e[i];
+ }
+ qdqpe = eraPdp(q, qpe);
+
+/* 2 x G x bm / ( em x c^2 x ( q . (q + e) ) ). */
+ w = bm * ERFA_SRS / em / ERFA_GMAX(qdqpe,dlim);
+
+/* p x (e x q). */
+ eraPxp(e, q, eq);
+ eraPxp(p, eq, peq);
+
+/* Apply the deflection. */
+ for (i = 0; i < 3; i++) {
+ p1[i] = p[i] + w*peq[i];
+ }
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ldn.c b/src/detail/erfa/ldn.c
new file mode 100644
index 000000000..6963cb3a1
--- /dev/null
+++ b/src/detail/erfa/ldn.c
@@ -0,0 +1,186 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraLdn(int n, eraLDBODY b[], double ob[3], double sc[3],
+ double sn[3])
+/*+
+** - - - - - - -
+** e r a L d n
+** - - - - - - -
+**
+** For a star, apply light deflection by multiple solar-system bodies,
+** as part of transforming coordinate direction into natural direction.
+**
+** Given:
+** n int number of bodies (note 1)
+** b eraLDBODY[n] data for each of the n bodies (Notes 1,2):
+** bm double mass of the body (solar masses, Note 3)
+** dl double deflection limiter (Note 4)
+** pv [2][3] barycentric PV of the body (au, au/day)
+** ob double[3] barycentric position of the observer (au)
+** sc double[3] observer to star coord direction (unit vector)
+**
+** Returned:
+** sn double[3] observer to deflected star (unit vector)
+**
+** 1) The array b contains n entries, one for each body to be
+** considered. If n = 0, no gravitational light deflection will be
+** applied, not even for the Sun.
+**
+** 2) The array b should include an entry for the Sun as well as for
+** any planet or other body to be taken into account. The entries
+** should be in the order in which the light passes the body.
+**
+** 3) In the entry in the b array for body i, the mass parameter
+** b[i].bm can, as required, be adjusted in order to allow for such
+** effects as quadrupole field.
+**
+** 4) The deflection limiter parameter b[i].dl is phi^2/2, where phi is
+** the angular separation (in radians) between star and body at
+** which limiting is applied. As phi shrinks below the chosen
+** threshold, the deflection is artificially reduced, reaching zero
+** for phi = 0. Example values suitable for a terrestrial
+** observer, together with masses, are as follows:
+**
+** body i b[i].bm b[i].dl
+**
+** Sun 1.0 6e-6
+** Jupiter 0.00095435 3e-9
+** Saturn 0.00028574 3e-10
+**
+** 5) For cases where the starlight passes the body before reaching the
+** observer, the body is placed back along its barycentric track by
+** the light time from that point to the observer. For cases where
+** the body is "behind" the observer no such shift is applied. If
+** a different treatment is preferred, the user has the option of
+** instead using the eraLd function. Similarly, eraLd can be used
+** for cases where the source is nearby, not a star.
+**
+** 6) The returned vector sn is not normalized, but the consequential
+** departure from unit magnitude is always negligible.
+**
+** 7) The arguments sc and sn can be the same array.
+**
+** 8) For efficiency, validation is omitted. The supplied masses must
+** be greater than zero, the position and velocity vectors must be
+** right, and the deflection limiter greater than zero.
+**
+** Reference:
+**
+** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to
+** the Astronomical Almanac, 3rd ed., University Science Books
+** (2013), Section 7.2.4.
+**
+** Called:
+** eraCp copy p-vector
+** eraPdp scalar product of two p-vectors
+** eraPmp p-vector minus p-vector
+** eraPpsp p-vector plus scaled p-vector
+** eraPn decompose p-vector into modulus and direction
+** eraLd light deflection by a solar-system body
+**
+** This revision: 2021 February 24
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Light time for 1 au (days) */
+ const double CR = ERFA_AULT/ERFA_DAYSEC;
+
+ int i;
+ double v[3], dt, ev[3], em, e[3];
+
+
+/* Star direction prior to deflection. */
+ eraCp(sc, sn);
+
+/* Body by body. */
+ for ( i = 0; i < n; i++ ) {
+
+ /* Body to observer vector at epoch of observation (au). */
+ eraPmp ( ob, b[i].pv[0], v );
+
+ /* Minus the time since the light passed the body (days). */
+ dt = eraPdp(sn,v) * CR;
+
+ /* Neutralize if the star is "behind" the observer. */
+ dt = ERFA_GMIN(dt, 0.0);
+
+ /* Backtrack the body to the time the light was passing the body. */
+ eraPpsp(v, -dt, b[i].pv[1], ev);
+
+ /* Body to observer vector as magnitude and direction. */
+ eraPn(ev, &em, e);
+
+ /* Apply light deflection for this body. */
+ eraLd ( b[i].bm, sn, sn, e, em, b[i].dl, sn );
+
+ /* Next body. */
+ }
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ldsun.c b/src/detail/erfa/ldsun.c
new file mode 100644
index 000000000..6092df931
--- /dev/null
+++ b/src/detail/erfa/ldsun.c
@@ -0,0 +1,117 @@
+#include "erfa.h"
+
+void eraLdsun(double p[3], double e[3], double em, double p1[3])
+/*
+** - - - - - - - - -
+** e r a L d s u n
+** - - - - - - - - -
+**
+** Deflection of starlight by the Sun.
+**
+** Given:
+** p double[3] direction from observer to star (unit vector)
+** e double[3] direction from Sun to observer (unit vector)
+** em double distance from Sun to observer (au)
+**
+** Returned:
+** p1 double[3] observer to deflected star (unit vector)
+**
+** Notes:
+**
+** 1) The source is presumed to be sufficiently distant that its
+** directions seen from the Sun and the observer are essentially
+** the same.
+**
+** 2) The deflection is restrained when the angle between the star and
+** the center of the Sun is less than a threshold value, falling to
+** zero deflection for zero separation. The chosen threshold value
+** is within the solar limb for all solar-system applications, and
+** is about 5 arcminutes for the case of a terrestrial observer.
+**
+** 3) The arguments p and p1 can be the same array.
+**
+** Called:
+** eraLd light deflection by a solar-system body
+**
+** This revision: 2016 June 16
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double em2, dlim;
+
+
+/* Deflection limiter (smaller for distant observers). */
+ em2 = em*em;
+ if ( em2 < 1.0 ) em2 = 1.0;
+ dlim = 1e-6 / (em2 > 1.0 ? em2 : 1.0);
+
+/* Apply the deflection. */
+ eraLd(1.0, p, p, e, em, dlim, p1);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/lteceq.c b/src/detail/erfa/lteceq.c
new file mode 100644
index 000000000..0c0a7fdbd
--- /dev/null
+++ b/src/detail/erfa/lteceq.c
@@ -0,0 +1,142 @@
+#include "erfa.h"
+
+void eraLteceq(double epj, double dl, double db, double *dr, double *dd)
+/*
+** - - - - - - - - - -
+** e r a L t e c e q
+** - - - - - - - - - -
+**
+** Transformation from ecliptic coordinates (mean equinox and ecliptic
+** of date) to ICRS RA,Dec, using a long-term precession model.
+**
+** Given:
+** epj double Julian epoch (TT)
+** dl,db double ecliptic longitude and latitude (radians)
+**
+** Returned:
+** dr,dd double ICRS right ascension and declination (radians)
+**
+** 1) No assumptions are made about whether the coordinates represent
+** starlight and embody astrometric effects such as parallax or
+** aberration.
+**
+** 2) The transformation is approximately that from ecliptic longitude
+** and latitude (mean equinox and ecliptic of date) to mean J2000.0
+** right ascension and declination, with only frame bias (always
+** less than 25 mas) to disturb this classical picture.
+**
+** 3) The Vondrak et al. (2011, 2012) 400 millennia precession model
+** agrees with the IAU 2006 precession at J2000.0 and stays within
+** 100 microarcseconds during the 20th and 21st centuries. It is
+** accurate to a few arcseconds throughout the historical period,
+** worsening to a few tenths of a degree at the end of the
+** +/- 200,000 year time span.
+**
+** Called:
+** eraS2c spherical coordinates to unit vector
+** eraLtecm J2000.0 to ecliptic rotation matrix, long term
+** eraTrxp product of transpose of r-matrix and p-vector
+** eraC2s unit vector to spherical coordinates
+** eraAnp normalize angle into range 0 to 2pi
+** eraAnpm normalize angle into range +/- pi
+**
+** References:
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2011, New precession
+** expressions, valid for long time intervals, Astron.Astrophys. 534,
+** A22
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2012, New precession
+** expressions, valid for long time intervals (Corrigendum),
+** Astron.Astrophys. 541, C1
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rm[3][3], v1[3], v2[3], a, b;
+
+
+/* Spherical to Cartesian. */
+ eraS2c(dl, db, v1);
+
+/* Rotation matrix, ICRS equatorial to ecliptic. */
+ eraLtecm(epj, rm);
+
+/* The transformation from ecliptic to ICRS. */
+ eraTrxp(rm, v1, v2);
+
+/* Cartesian to spherical. */
+ eraC2s(v2, &a, &b);
+
+/* Express in conventional ranges. */
+ *dr = eraAnp(a);
+ *dd = eraAnpm(b);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ltecm.c b/src/detail/erfa/ltecm.c
new file mode 100644
index 000000000..c579f02fc
--- /dev/null
+++ b/src/detail/erfa/ltecm.c
@@ -0,0 +1,162 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraLtecm(double epj, double rm[3][3])
+/*
+** - - - - - - - - -
+** e r a L t e c m
+** - - - - - - - - -
+**
+** ICRS equatorial to ecliptic rotation matrix, long-term.
+**
+** Given:
+** epj double Julian epoch (TT)
+**
+** Returned:
+** rm double[3][3] ICRS to ecliptic rotation matrix
+**
+** Notes:
+**
+** 1) The matrix is in the sense
+**
+** E_ep = rm x P_ICRS,
+**
+** where P_ICRS is a vector with respect to ICRS right ascension
+** and declination axes and E_ep is the same vector with respect to
+** the (inertial) ecliptic and equinox of epoch epj.
+**
+** 2) P_ICRS is a free vector, merely a direction, typically of unit
+** magnitude, and not bound to any particular spatial origin, such
+** as the Earth, Sun or SSB. No assumptions are made about whether
+** it represents starlight and embodies astrometric effects such as
+** parallax or aberration. The transformation is approximately that
+** between mean J2000.0 right ascension and declination and ecliptic
+** longitude and latitude, with only frame bias (always less than
+** 25 mas) to disturb this classical picture.
+**
+** 3) The Vondrak et al. (2011, 2012) 400 millennia precession model
+** agrees with the IAU 2006 precession at J2000.0 and stays within
+** 100 microarcseconds during the 20th and 21st centuries. It is
+** accurate to a few arcseconds throughout the historical period,
+** worsening to a few tenths of a degree at the end of the
+** +/- 200,000 year time span.
+**
+** Called:
+** eraLtpequ equator pole, long term
+** eraLtpecl ecliptic pole, long term
+** eraPxp vector product
+** eraPn normalize vector
+**
+** References:
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2011, New precession
+** expressions, valid for long time intervals, Astron.Astrophys. 534,
+** A22
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2012, New precession
+** expressions, valid for long time intervals (Corrigendum),
+** Astron.Astrophys. 541, C1
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Frame bias (IERS Conventions 2010, Eqs. 5.21 and 5.33) */
+ const double dx = -0.016617 * ERFA_DAS2R,
+ de = -0.0068192 * ERFA_DAS2R,
+ dr = -0.0146 * ERFA_DAS2R;
+
+ double p[3], z[3], w[3], s, x[3], y[3];
+
+
+/* Equator pole. */
+ eraLtpequ(epj, p);
+
+/* Ecliptic pole (bottom row of equatorial to ecliptic matrix). */
+ eraLtpecl(epj, z);
+
+/* Equinox (top row of matrix). */
+ eraPxp(p, z, w);
+ eraPn(w, &s, x);
+
+/* Middle row of matrix. */
+ eraPxp(z, x, y);
+
+/* Combine with frame bias. */
+ rm[0][0] = x[0] - x[1]*dr + x[2]*dx;
+ rm[0][1] = x[0]*dr + x[1] + x[2]*de;
+ rm[0][2] = - x[0]*dx - x[1]*de + x[2];
+ rm[1][0] = y[0] - y[1]*dr + y[2]*dx;
+ rm[1][1] = y[0]*dr + y[1] + y[2]*de;
+ rm[1][2] = - y[0]*dx - y[1]*de + y[2];
+ rm[2][0] = z[0] - z[1]*dr + z[2]*dx;
+ rm[2][1] = z[0]*dr + z[1] + z[2]*de;
+ rm[2][2] = - z[0]*dx - z[1]*de + z[2];
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/lteqec.c b/src/detail/erfa/lteqec.c
new file mode 100644
index 000000000..4ddca7107
--- /dev/null
+++ b/src/detail/erfa/lteqec.c
@@ -0,0 +1,142 @@
+#include "erfa.h"
+
+void eraLteqec(double epj, double dr, double dd, double *dl, double *db)
+/*
+** - - - - - - - - - -
+** e r a L t e q e c
+** - - - - - - - - - -
+**
+** Transformation from ICRS RA,Dec to ecliptic coordinates (mean equinox
+** and ecliptic of date), using a long-term precession model.
+**
+** Given:
+** epj double Julian epoch (TT)
+** dr,dd double ICRS right ascension and declination (radians)
+**
+** Returned:
+** dl,db double ecliptic longitude and latitude (radians)
+**
+** 1) No assumptions are made about whether the coordinates represent
+** starlight and embody astrometric effects such as parallax or
+** aberration.
+**
+** 2) The transformation is approximately that from mean J2000.0 right
+** ascension and declination to ecliptic longitude and latitude
+** (mean equinox and ecliptic of date), with only frame bias (always
+** less than 25 mas) to disturb this classical picture.
+**
+** 3) The Vondrak et al. (2011, 2012) 400 millennia precession model
+** agrees with the IAU 2006 precession at J2000.0 and stays within
+** 100 microarcseconds during the 20th and 21st centuries. It is
+** accurate to a few arcseconds throughout the historical period,
+** worsening to a few tenths of a degree at the end of the
+** +/- 200,000 year time span.
+**
+** Called:
+** eraS2c spherical coordinates to unit vector
+** eraLtecm J2000.0 to ecliptic rotation matrix, long term
+** eraRxp product of r-matrix and p-vector
+** eraC2s unit vector to spherical coordinates
+** eraAnp normalize angle into range 0 to 2pi
+** eraAnpm normalize angle into range +/- pi
+**
+** References:
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2011, New precession
+** expressions, valid for long time intervals, Astron.Astrophys. 534,
+** A22
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2012, New precession
+** expressions, valid for long time intervals (Corrigendum),
+** Astron.Astrophys. 541, C1
+**
+** This revision: 2023 March 18
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rm[3][3], v1[3], v2[3], a, b;
+
+
+/* Spherical to Cartesian. */
+ eraS2c(dr, dd, v1);
+
+/* Rotation matrix, ICRS equatorial to ecliptic. */
+ eraLtecm(epj, rm);
+
+/* The transformation from ICRS to ecliptic. */
+ eraRxp(rm, v1, v2);
+
+/* Cartesian to spherical. */
+ eraC2s(v2, &a, &b);
+
+/* Express in conventional ranges. */
+ *dl = eraAnp(a);
+ *db = eraAnpm(b);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ltp.c b/src/detail/erfa/ltp.c
new file mode 100644
index 000000000..949d774d4
--- /dev/null
+++ b/src/detail/erfa/ltp.c
@@ -0,0 +1,144 @@
+#include "erfa.h"
+
+void eraLtp(double epj, double rp[3][3])
+/*
+** - - - - - - -
+** e r a L t p
+** - - - - - - -
+**
+** Long-term precession matrix.
+**
+** Given:
+** epj double Julian epoch (TT)
+**
+** Returned:
+** rp double[3][3] precession matrix, J2000.0 to date
+**
+** Notes:
+**
+** 1) The matrix is in the sense
+**
+** P_date = rp x P_J2000,
+**
+** where P_J2000 is a vector with respect to the J2000.0 mean
+** equator and equinox and P_date is the same vector with respect to
+** the mean equator and equinox of epoch epj.
+**
+** 2) The Vondrak et al. (2011, 2012) 400 millennia precession model
+** agrees with the IAU 2006 precession at J2000.0 and stays within
+** 100 microarcseconds during the 20th and 21st centuries. It is
+** accurate to a few arcseconds throughout the historical period,
+** worsening to a few tenths of a degree at the end of the
+** +/- 200,000 year time span.
+**
+** Called:
+** eraLtpequ equator pole, long term
+** eraLtpecl ecliptic pole, long term
+** eraPxp vector product
+** eraPn normalize vector
+**
+** References:
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2011, New precession
+** expressions, valid for long time intervals, Astron.Astrophys. 534,
+** A22
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2012, New precession
+** expressions, valid for long time intervals (Corrigendum),
+** Astron.Astrophys. 541, C1
+**
+** This revision: 2023 March 19
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int i;
+ double peqr[3], pecl[3], v[3], w, eqx[3];
+
+
+/* Equator pole (bottom row of matrix). */
+ eraLtpequ(epj, peqr);
+
+/* Ecliptic pole. */
+ eraLtpecl(epj, pecl);
+
+/* Equinox (top row of matrix). */
+ eraPxp(peqr, pecl, v);
+ eraPn(v, &w, eqx);
+
+/* Middle row of matrix. */
+ eraPxp(peqr, eqx, v);
+
+/* Assemble the matrix. */
+ for ( i = 0; i < 3; i++ ) {
+ rp[0][i] = eqx[i];
+ rp[1][i] = v[i];
+ rp[2][i] = peqr[i];
+ }
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ltpb.c b/src/detail/erfa/ltpb.c
new file mode 100644
index 000000000..651a7569e
--- /dev/null
+++ b/src/detail/erfa/ltpb.c
@@ -0,0 +1,138 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraLtpb(double epj, double rpb[3][3])
+/*
+** - - - - - - - -
+** e r a L t p b
+** - - - - - - - -
+**
+** Long-term precession matrix, including ICRS frame bias.
+**
+** Given:
+** epj double Julian epoch (TT)
+**
+** Returned:
+** rpb double[3][3] precession+bias matrix, J2000.0 to date
+**
+** Notes:
+**
+** 1) The matrix is in the sense
+**
+** P_date = rpb x P_ICRS,
+**
+** where P_ICRS is a vector in the Geocentric Celestial Reference
+** System, and P_date is the vector with respect to the Celestial
+** Intermediate Reference System at that date but with nutation
+** neglected.
+**
+** 2) A first order frame bias formulation is used, of sub-
+** microarcsecond accuracy compared with a full 3D rotation.
+**
+** 3) The Vondrak et al. (2011, 2012) 400 millennia precession model
+** agrees with the IAU 2006 precession at J2000.0 and stays within
+** 100 microarcseconds during the 20th and 21st centuries. It is
+** accurate to a few arcseconds throughout the historical period,
+** worsening to a few tenths of a degree at the end of the
+** +/- 200,000 year time span.
+**
+** References:
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2011, New precession
+** expressions, valid for long time intervals, Astron.Astrophys. 534,
+** A22
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2012, New precession
+** expressions, valid for long time intervals (Corrigendum),
+** Astron.Astrophys. 541, C1
+**
+** This revision: 2023 March 20
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Frame bias (IERS Conventions 2010, Eqs. 5.21 and 5.33) */
+ const double dx = -0.016617 * ERFA_DAS2R,
+ de = -0.0068192 * ERFA_DAS2R,
+ dr = -0.0146 * ERFA_DAS2R;
+
+ int i;
+ double rp[3][3];
+
+
+/* Precession matrix. */
+ eraLtp(epj, rp);
+
+/* Apply the bias. */
+ for ( i = 0; i < 3; i++ ) {
+ rpb[i][0] = rp[i][0] - rp[i][1]*dr + rp[i][2]*dx;
+ rpb[i][1] = rp[i][0]*dr + rp[i][1] + rp[i][2]*de;
+ rpb[i][2] = -rp[i][0]*dx - rp[i][1]*de + rp[i][2];
+ }
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ltpecl.c b/src/detail/erfa/ltpecl.c
new file mode 100644
index 000000000..c9d0e95bd
--- /dev/null
+++ b/src/detail/erfa/ltpecl.c
@@ -0,0 +1,182 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraLtpecl(double epj, double vec[3])
+/*
+** - - - - - - - - - -
+** e r a L t p e c l
+** - - - - - - - - - -
+**
+** Long-term precession of the ecliptic.
+**
+** Given:
+** epj double Julian epoch (TT)
+**
+** Returned:
+** vec double[3] ecliptic pole unit vector
+**
+** Notes:
+**
+** 1) The returned vector is with respect to the J2000.0 mean equator
+** and equinox.
+**
+** 2) The Vondrak et al. (2011, 2012) 400 millennia precession model
+** agrees with the IAU 2006 precession at J2000.0 and stays within
+** 100 microarcseconds during the 20th and 21st centuries. It is
+** accurate to a few arcseconds throughout the historical period,
+** worsening to a few tenths of a degree at the end of the
+** +/- 200,000 year time span.
+**
+** References:
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2011, New precession
+** expressions, valid for long time intervals, Astron.Astrophys. 534,
+** A22
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2012, New precession
+** expressions, valid for long time intervals (Corrigendum),
+** Astron.Astrophys. 541, C1
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Obliquity at J2000.0 (radians). */
+ static const double eps0 = 84381.406 * ERFA_DAS2R;
+
+/* Polynomial coefficients */
+ enum { NPOL = 4 };
+ static const double pqpol[2][NPOL] = {
+ { 5851.607687,
+ -0.1189000,
+ -0.00028913,
+ 0.000000101},
+ {-1600.886300,
+ 1.1689818,
+ -0.00000020,
+ -0.000000437}
+ };
+
+/* Periodic coefficients */
+ static const double pqper[][5] = {
+ { 708.15,-5486.751211,-684.661560, 667.666730,-5523.863691},
+ {2309.00, -17.127623,2446.283880,-2354.886252, -549.747450},
+ {1620.00, -617.517403, 399.671049, -428.152441, -310.998056},
+ { 492.20, 413.442940,-356.652376, 376.202861, 421.535876},
+ {1183.00, 78.614193,-186.387003, 184.778874, -36.776172},
+ { 622.00, -180.732815,-316.800070, 335.321713, -145.278396},
+ { 882.00, -87.676083, 198.296701, -185.138669, -34.744450},
+ { 547.00, 46.140315, 101.135679, -120.972830, 22.885731}
+ };
+ static const int NPER = (int) ( sizeof pqper / 5 / sizeof (double) );
+
+/* Miscellaneous */
+ int i;
+ double t, p, q, w, a, s, c;
+
+
+/* Centuries since J2000. */
+ t = ( epj - 2000.0 ) / 100.0;
+
+/* Initialize P_A and Q_A accumulators. */
+ p = 0.0;
+ q = 0.0;
+
+/* Periodic terms. */
+ w = ERFA_D2PI*t;
+ for ( i = 0; i < NPER; i++ ) {
+ a = w/pqper[i][0];
+ s = sin(a);
+ c = cos(a);
+ p += c*pqper[i][1] + s*pqper[i][3];
+ q += c*pqper[i][2] + s*pqper[i][4];
+ }
+
+/* Polynomial terms. */
+ w = 1.0;
+ for ( i = 0; i < NPOL; i++ ) {
+ p += pqpol[0][i]*w;
+ q += pqpol[1][i]*w;
+ w *= t;
+ }
+
+/* P_A and Q_A (radians). */
+ p *= ERFA_DAS2R;
+ q *= ERFA_DAS2R;
+
+/* Form the ecliptic pole vector. */
+ w = 1.0 - p*p - q*q;
+ w = w < 0.0 ? 0.0 : sqrt(w);
+ s = sin(eps0);
+ c = cos(eps0);
+ vec[0] = p;
+ vec[1] = - q*c - w*s;
+ vec[2] = - q*s + w*c;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ltpequ.c b/src/detail/erfa/ltpequ.c
new file mode 100644
index 000000000..28c726821
--- /dev/null
+++ b/src/detail/erfa/ltpequ.c
@@ -0,0 +1,182 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraLtpequ(double epj, double veq[3])
+/*
+** - - - - - - - - - -
+** e r a L t p e q u
+** - - - - - - - - - -
+**
+** Long-term precession of the equator.
+**
+** Given:
+** epj double Julian epoch (TT)
+**
+** Returned:
+** veq double[3] equator pole unit vector
+**
+** Notes:
+**
+** 1) The returned vector is with respect to the J2000.0 mean equator
+** and equinox.
+**
+** 2) The Vondrak et al. (2011, 2012) 400 millennia precession model
+** agrees with the IAU 2006 precession at J2000.0 and stays within
+** 100 microarcseconds during the 20th and 21st centuries. It is
+** accurate to a few arcseconds throughout the historical period,
+** worsening to a few tenths of a degree at the end of the
+** +/- 200,000 year time span.
+**
+** References:
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2011, New precession
+** expressions, valid for long time intervals, Astron.Astrophys. 534,
+** A22
+**
+** Vondrak, J., Capitaine, N. and Wallace, P., 2012, New precession
+** expressions, valid for long time intervals (Corrigendum),
+** Astron.Astrophys. 541, C1
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Polynomial coefficients */
+ enum { NPOL = 4 };
+ static const double xypol[2][NPOL] = {
+ { 5453.282155,
+ 0.4252841,
+ -0.00037173,
+ -0.000000152},
+ {-73750.930350,
+ -0.7675452,
+ -0.00018725,
+ 0.000000231}
+ };
+
+/* Periodic coefficients */
+ static const double xyper[][5] = {
+ { 256.75, -819.940624,75004.344875,81491.287984, 1558.515853},
+ { 708.15,-8444.676815, 624.033993, 787.163481, 7774.939698},
+ { 274.20, 2600.009459, 1251.136893, 1251.296102,-2219.534038},
+ { 241.45, 2755.175630,-1102.212834,-1257.950837,-2523.969396},
+ {2309.00, -167.659835,-2660.664980,-2966.799730, 247.850422},
+ { 492.20, 871.855056, 699.291817, 639.744522, -846.485643},
+ { 396.10, 44.769698, 153.167220, 131.600209,-1393.124055},
+ { 288.90, -512.313065, -950.865637, -445.040117, 368.526116},
+ { 231.10, -819.415595, 499.754645, 584.522874, 749.045012},
+ {1610.00, -538.071099, -145.188210, -89.756563, 444.704518},
+ { 620.00, -189.793622, 558.116553, 524.429630, 235.934465},
+ { 157.87, -402.922932, -23.923029, -13.549067, 374.049623},
+ { 220.30, 179.516345, -165.405086, -210.157124, -171.330180},
+ {1200.00, -9.814756, 9.344131, -44.919798, -22.899655}
+ };
+ static const int NPER = (int) ( sizeof xyper / 5 / sizeof (double) );
+
+/* Miscellaneous */
+ int i;
+ double t, x, y, w, a, s, c;
+
+
+/* Centuries since J2000. */
+ t = ( epj - 2000.0 ) / 100.0;
+
+/* Initialize X and Y accumulators. */
+ x = 0.0;
+ y = 0.0;
+
+/* Periodic terms. */
+ w = ERFA_D2PI * t;
+ for ( i = 0; i < NPER; i++ ) {
+ a = w / xyper[i][0];
+ s = sin(a);
+ c = cos(a);
+ x += c*xyper[i][1] + s*xyper[i][3];
+ y += c*xyper[i][2] + s*xyper[i][4];
+ }
+
+/* Polynomial terms. */
+ w = 1.0;
+ for ( i = 0; i < NPOL; i++ ) {
+ x += xypol[0][i]*w;
+ y += xypol[1][i]*w;
+ w *= t;
+ }
+
+/* X and Y (direction cosines). */
+ x *= ERFA_DAS2R;
+ y *= ERFA_DAS2R;
+
+/* Form the equator pole vector. */
+ veq[0] = x;
+ veq[1] = y;
+ w = 1.0 - x*x - y*y;
+ veq[2] = w < 0.0 ? 0.0 : sqrt(w);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/moon98.c b/src/detail/erfa/moon98.c
new file mode 100644
index 000000000..93a843c3f
--- /dev/null
+++ b/src/detail/erfa/moon98.c
@@ -0,0 +1,615 @@
+#include "erfa.h"
+#include "erfam.h"
+#include <stdlib.h>
+
+void eraMoon98 ( double date1, double date2, double pv[2][3] )
+/*
+** - - - - - - - - - -
+** e r a M o o n 9 8
+** - - - - - - - - - -
+**
+** Approximate geocentric position and velocity of the Moon.
+**
+** n.b. Not IAU-endorsed and without canonical status.
+**
+** Given:
+** date1 double TT date part A (Notes 1,4)
+** date2 double TT date part B (Notes 1,4)
+**
+** Returned:
+** pv double[2][3] Moon p,v, GCRS (au, au/d, Note 5)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** resolution. The MJD method and the date & time methods are both
+** good compromises between resolution and convenience. The limited
+** accuracy of the present algorithm is such that any of the methods
+** is satisfactory.
+**
+** 2) This function is a full implementation of the algorithm
+** published by Meeus (see reference) except that the light-time
+** correction to the Moon's mean longitude has been omitted.
+**
+** 3) Comparisons with ELP/MPP02 over the interval 1950-2100 gave RMS
+** errors of 2.9 arcsec in geocentric direction, 6.1 km in position
+** and 36 mm/s in velocity. The worst case errors were 18.3 arcsec
+** in geocentric direction, 31.7 km in position and 172 mm/s in
+** velocity.
+**
+** 4) The original algorithm is expressed in terms of "dynamical time",
+** which can either be TDB or TT without any significant change in
+** accuracy. UT cannot be used without incurring significant errors
+** (30 arcsec in the present era) due to the Moon's 0.5 arcsec/sec
+** movement.
+**
+** 5) The result is with respect to the GCRS (the same as J2000.0 mean
+** equator and equinox to within 23 mas).
+**
+** 6) Velocity is obtained by a complete analytical differentiation
+** of the Meeus model.
+**
+** 7) The Meeus algorithm generates position and velocity in mean
+** ecliptic coordinates of date, which the present function then
+** rotates into GCRS. Because the ecliptic system is precessing,
+** there is a coupling between this spin (about 1.4 degrees per
+** century) and the Moon position that produces a small velocity
+** contribution. In the present function this effect is neglected
+** as it corresponds to a maximum difference of less than 3 mm/s and
+** increases the RMS error by only 0.4%.
+**
+** References:
+**
+** Meeus, J., Astronomical Algorithms, 2nd edition, Willmann-Bell,
+** 1998, p337.
+**
+** Simon, J.L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G. & Laskar, J., Astron.Astrophys., 1994, 282, 663
+**
+** Defined in erfam.h:
+** ERFA_DAU astronomical unit (m)
+** ERFA_DJC days per Julian century
+** ERFA_DJ00 reference epoch (J2000.0), Julian Date
+** ERFA_DD2R degrees to radians
+**
+** Called:
+** eraS2pv spherical coordinates to pv-vector
+** eraPfw06 bias-precession F-W angles, IAU 2006
+** eraIr initialize r-matrix to identity
+** eraRz rotate around Z-axis
+** eraRx rotate around X-axis
+** eraRxpv product of r-matrix and pv-vector
+**
+** This revision: 2023 March 20
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/*
+** Coefficients for fundamental arguments:
+**
+** . Powers of time in Julian centuries
+** . Units are degrees.
+*/
+
+/* Moon's mean longitude (wrt mean equinox and ecliptic of date) */
+ static double elp0 = 218.31665436, /* Simon et al. (1994). */
+ elp1 = 481267.88123421,
+ elp2 = -0.0015786,
+ elp3 = 1.0 / 538841.0,
+ elp4 = -1.0 / 65194000.0;
+ double elp, delp;
+
+/* Moon's mean elongation */
+ static double d0 = 297.8501921,
+ d1 = 445267.1114034,
+ d2 = -0.0018819,
+ d3 = 1.0 / 545868.0,
+ d4 = 1.0 / 113065000.0;
+ double d, dd;
+
+/* Sun's mean anomaly */
+ static double em0 = 357.5291092,
+ em1 = 35999.0502909,
+ em2 = -0.0001536,
+ em3 = 1.0 / 24490000.0,
+ em4 = 0.0;
+ double em, dem;
+
+/* Moon's mean anomaly */
+ static double emp0 = 134.9633964,
+ emp1 = 477198.8675055,
+ emp2 = 0.0087414,
+ emp3 = 1.0 / 69699.0,
+ emp4 = -1.0 / 14712000.0;
+ double emp, demp;
+
+/* Mean distance of the Moon from its ascending node */
+ static double f0 = 93.2720950,
+ f1 = 483202.0175233,
+ f2 = -0.0036539,
+ f3 = 1.0 / 3526000.0,
+ f4 = 1.0 / 863310000.0;
+ double f, df;
+
+/*
+** Other arguments
+*/
+
+/* Meeus A_1, due to Venus (deg) */
+ static double a10 = 119.75,
+ a11 = 131.849;
+ double a1, da1;
+
+/* Meeus A_2, due to Jupiter (deg) */
+ static double a20 = 53.09,
+ a21 = 479264.290;
+ double a2, da2;
+
+/* Meeus A_3, due to sidereal motion of the Moon in longitude (deg) */
+ static double a30 = 313.45,
+ a31 = 481266.484;
+ double a3, da3;
+
+/* Coefficients for Meeus "additive terms" (deg) */
+ static double al1 = 0.003958,
+ al2 = 0.001962,
+ al3 = 0.000318;
+ static double ab1 = -0.002235,
+ ab2 = 0.000382,
+ ab3 = 0.000175,
+ ab4 = 0.000175,
+ ab5 = 0.000127,
+ ab6 = -0.000115;
+
+/* Fixed term in distance (m) */
+ static double r0 = 385000560.0;
+
+/* Coefficients for (dimensionless) E factor */
+ static double e1 = -0.002516,
+ e2 = -0.0000074;
+ double e, de, esq, desq;
+
+/*
+** Coefficients for Moon longitude and distance series
+*/
+ struct termlr {
+ int nd; /* multiple of D in argument */
+ int nem; /* " " M " " */
+ int nemp; /* " " M' " " */
+ int nf; /* " " F " " */
+ double coefl; /* coefficient of L sine argument (deg) */
+ double coefr; /* coefficient of R cosine argument (m) */
+ };
+
+static struct termlr tlr[] = {{0, 0, 1, 0, 6.288774, -20905355.0},
+ {2, 0, -1, 0, 1.274027, -3699111.0},
+ {2, 0, 0, 0, 0.658314, -2955968.0},
+ {0, 0, 2, 0, 0.213618, -569925.0},
+ {0, 1, 0, 0, -0.185116, 48888.0},
+ {0, 0, 0, 2, -0.114332, -3149.0},
+ {2, 0, -2, 0, 0.058793, 246158.0},
+ {2, -1, -1, 0, 0.057066, -152138.0},
+ {2, 0, 1, 0, 0.053322, -170733.0},
+ {2, -1, 0, 0, 0.045758, -204586.0},
+ {0, 1, -1, 0, -0.040923, -129620.0},
+ {1, 0, 0, 0, -0.034720, 108743.0},
+ {0, 1, 1, 0, -0.030383, 104755.0},
+ {2, 0, 0, -2, 0.015327, 10321.0},
+ {0, 0, 1, 2, -0.012528, 0.0},
+ {0, 0, 1, -2, 0.010980, 79661.0},
+ {4, 0, -1, 0, 0.010675, -34782.0},
+ {0, 0, 3, 0, 0.010034, -23210.0},
+ {4, 0, -2, 0, 0.008548, -21636.0},
+ {2, 1, -1, 0, -0.007888, 24208.0},
+ {2, 1, 0, 0, -0.006766, 30824.0},
+ {1, 0, -1, 0, -0.005163, -8379.0},
+ {1, 1, 0, 0, 0.004987, -16675.0},
+ {2, -1, 1, 0, 0.004036, -12831.0},
+ {2, 0, 2, 0, 0.003994, -10445.0},
+ {4, 0, 0, 0, 0.003861, -11650.0},
+ {2, 0, -3, 0, 0.003665, 14403.0},
+ {0, 1, -2, 0, -0.002689, -7003.0},
+ {2, 0, -1, 2, -0.002602, 0.0},
+ {2, -1, -2, 0, 0.002390, 10056.0},
+ {1, 0, 1, 0, -0.002348, 6322.0},
+ {2, -2, 0, 0, 0.002236, -9884.0},
+ {0, 1, 2, 0, -0.002120, 5751.0},
+ {0, 2, 0, 0, -0.002069, 0.0},
+ {2, -2, -1, 0, 0.002048, -4950.0},
+ {2, 0, 1, -2, -0.001773, 4130.0},
+ {2, 0, 0, 2, -0.001595, 0.0},
+ {4, -1, -1, 0, 0.001215, -3958.0},
+ {0, 0, 2, 2, -0.001110, 0.0},
+ {3, 0, -1, 0, -0.000892, 3258.0},
+ {2, 1, 1, 0, -0.000810, 2616.0},
+ {4, -1, -2, 0, 0.000759, -1897.0},
+ {0, 2, -1, 0, -0.000713, -2117.0},
+ {2, 2, -1, 0, -0.000700, 2354.0},
+ {2, 1, -2, 0, 0.000691, 0.0},
+ {2, -1, 0, -2, 0.000596, 0.0},
+ {4, 0, 1, 0, 0.000549, -1423.0},
+ {0, 0, 4, 0, 0.000537, -1117.0},
+ {4, -1, 0, 0, 0.000520, -1571.0},
+ {1, 0, -2, 0, -0.000487, -1739.0},
+ {2, 1, 0, -2, -0.000399, 0.0},
+ {0, 0, 2, -2, -0.000381, -4421.0},
+ {1, 1, 1, 0, 0.000351, 0.0},
+ {3, 0, -2, 0, -0.000340, 0.0},
+ {4, 0, -3, 0, 0.000330, 0.0},
+ {2, -1, 2, 0, 0.000327, 0.0},
+ {0, 2, 1, 0, -0.000323, 1165.0},
+ {1, 1, -1, 0, 0.000299, 0.0},
+ {2, 0, 3, 0, 0.000294, 0.0},
+ {2, 0, -1, -2, 0.000000, 8752.0}};
+
+ static int NLR = ( sizeof tlr / sizeof ( struct termlr ) );
+
+/*
+** Coefficients for Moon latitude series
+*/
+ struct termb {
+ int nd; /* multiple of D in argument */
+ int nem; /* " " M " " */
+ int nemp; /* " " M' " " */
+ int nf; /* " " F " " */
+ double coefb; /* coefficient of B sine argument (deg) */
+ };
+
+static struct termb tb[] = {{0, 0, 0, 1, 5.128122},
+ {0, 0, 1, 1, 0.280602},
+ {0, 0, 1, -1, 0.277693},
+ {2, 0, 0, -1, 0.173237},
+ {2, 0, -1, 1, 0.055413},
+ {2, 0, -1, -1, 0.046271},
+ {2, 0, 0, 1, 0.032573},
+ {0, 0, 2, 1, 0.017198},
+ {2, 0, 1, -1, 0.009266},
+ {0, 0, 2, -1, 0.008822},
+ {2, -1, 0, -1, 0.008216},
+ {2, 0, -2, -1, 0.004324},
+ {2, 0, 1, 1, 0.004200},
+ {2, 1, 0, -1, -0.003359},
+ {2, -1, -1, 1, 0.002463},
+ {2, -1, 0, 1, 0.002211},
+ {2, -1, -1, -1, 0.002065},
+ {0, 1, -1, -1, -0.001870},
+ {4, 0, -1, -1, 0.001828},
+ {0, 1, 0, 1, -0.001794},
+ {0, 0, 0, 3, -0.001749},
+ {0, 1, -1, 1, -0.001565},
+ {1, 0, 0, 1, -0.001491},
+ {0, 1, 1, 1, -0.001475},
+ {0, 1, 1, -1, -0.001410},
+ {0, 1, 0, -1, -0.001344},
+ {1, 0, 0, -1, -0.001335},
+ {0, 0, 3, 1, 0.001107},
+ {4, 0, 0, -1, 0.001021},
+ {4, 0, -1, 1, 0.000833},
+ {0, 0, 1, -3, 0.000777},
+ {4, 0, -2, 1, 0.000671},
+ {2, 0, 0, -3, 0.000607},
+ {2, 0, 2, -1, 0.000596},
+ {2, -1, 1, -1, 0.000491},
+ {2, 0, -2, 1, -0.000451},
+ {0, 0, 3, -1, 0.000439},
+ {2, 0, 2, 1, 0.000422},
+ {2, 0, -3, -1, 0.000421},
+ {2, 1, -1, 1, -0.000366},
+ {2, 1, 0, 1, -0.000351},
+ {4, 0, 0, 1, 0.000331},
+ {2, -1, 1, 1, 0.000315},
+ {2, -2, 0, -1, 0.000302},
+ {0, 0, 1, 3, -0.000283},
+ {2, 1, 1, -1, -0.000229},
+ {1, 1, 0, -1, 0.000223},
+ {1, 1, 0, 1, 0.000223},
+ {0, 1, -2, -1, -0.000220},
+ {2, 1, -1, -1, -0.000220},
+ {1, 0, 1, 1, -0.000185},
+ {2, -1, -2, -1, 0.000181},
+ {0, 1, 2, 1, -0.000177},
+ {4, 0, -2, -1, 0.000176},
+ {4, -1, -1, -1, 0.000166},
+ {1, 0, 1, -1, -0.000164},
+ {4, 0, 1, -1, 0.000132},
+ {1, 0, -1, -1, -0.000119},
+ {4, -1, 0, -1, 0.000115},
+ {2, -2, 0, 1, 0.000107}};
+
+ static int NB = ( sizeof tb / sizeof ( struct termb ) );
+
+/* Miscellaneous */
+ int n, i;
+ double t, elpmf, delpmf, vel, vdel, vr, vdr, a1mf, da1mf, a1pf,
+ da1pf, dlpmp, slpmp, vb, vdb, v, dv, emn, empn, dn, fn, en,
+ den, arg, darg, farg, coeff, el, del, r, dr, b, db, gamb,
+ phib, psib, epsa, rm[3][3];
+
+/* ------------------------------------------------------------------ */
+
+/* Centuries since J2000.0 */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* --------------------- */
+/* Fundamental arguments */
+/* --------------------- */
+
+/* Arguments (radians) and derivatives (radians per Julian century)
+ for the current date. */
+
+/* Moon's mean longitude. */
+ elp = ERFA_DD2R * fmod ( elp0
+ + ( elp1
+ + ( elp2
+ + ( elp3
+ + elp4 * t ) * t ) * t ) * t, 360.0 );
+ delp = ERFA_DD2R * ( elp1
+ + ( elp2 * 2.0
+ + ( elp3 * 3.0
+ + elp4 * 4.0 * t ) * t ) * t );
+
+/* Moon's mean elongation. */
+ d = ERFA_DD2R * fmod ( d0
+ + ( d1
+ + ( d2
+ + ( d3
+ + d4 * t ) * t ) * t ) * t, 360.0 );
+ dd = ERFA_DD2R * ( d1
+ + ( d2 * 2.0
+ + ( d3 * 3.0
+ + d4 * 4.0 * t ) * t ) * t );
+
+/* Sun's mean anomaly. */
+ em = ERFA_DD2R * fmod ( em0
+ + ( em1
+ + ( em2
+ + ( em3
+ + em4 * t ) * t ) * t ) * t, 360.0 );
+ dem = ERFA_DD2R * ( em1
+ + ( em2 * 2.0
+ + ( em3 * 3.0
+ + em4 * 4.0 * t ) * t ) * t );
+
+/* Moon's mean anomaly. */
+ emp = ERFA_DD2R * fmod ( emp0
+ + ( emp1
+ + ( emp2
+ + ( emp3
+ + emp4 * t ) * t ) * t ) * t, 360.0 );
+ demp = ERFA_DD2R * ( emp1
+ + ( emp2 * 2.0
+ + ( emp3 * 3.0
+ + emp4 * 4.0 * t ) * t ) * t );
+
+/* Mean distance of the Moon from its ascending node. */
+ f = ERFA_DD2R * fmod ( f0
+ + ( f1
+ + ( f2
+ + ( f3
+ + f4 * t ) * t ) * t ) * t, 360.0 );
+ df = ERFA_DD2R * ( f1
+ + ( f2 * 2.0
+ + ( f3 * 3.0
+ + f4 * 4.0 * t ) * t ) * t );
+
+/* Meeus further arguments. */
+ a1 = ERFA_DD2R * ( a10 + a11*t );
+ da1 = ERFA_DD2R * al1;
+ a2 = ERFA_DD2R * ( a20 + a21*t );
+ da2 = ERFA_DD2R * a21;
+ a3 = ERFA_DD2R * ( a30 + a31*t );
+ da3 = ERFA_DD2R * a31;
+
+/* E-factor, and square. */
+ e = 1.0 + ( e1 + e2*t ) * t;
+ de = e1 + 2.0*e2*t;
+ esq = e*e;
+ desq = 2.0*e*de;
+
+/* Use the Meeus additive terms (deg) to start off the summations. */
+ elpmf = elp - f;
+ delpmf = delp - df;
+ vel = al1 * sin(a1)
+ + al2 * sin(elpmf)
+ + al3 * sin(a2);
+ vdel = al1 * cos(a1) * da1
+ + al2 * cos(elpmf) * delpmf
+ + al3 * cos(a2) * da2;
+
+ vr = 0.0;
+ vdr = 0.0;
+
+ a1mf = a1 - f;
+ da1mf = da1 - df;
+ a1pf = a1 + f;
+ da1pf = da1 + df;
+ dlpmp = elp - emp;
+ slpmp = elp + emp;
+ vb = ab1 * sin(elp)
+ + ab2 * sin(a3)
+ + ab3 * sin(a1mf)
+ + ab4 * sin(a1pf)
+ + ab5 * sin(dlpmp)
+ + ab6 * sin(slpmp);
+ vdb = ab1 * cos(elp) * delp
+ + ab2 * cos(a3) * da3
+ + ab3 * cos(a1mf) * da1mf
+ + ab4 * cos(a1pf) * da1pf
+ + ab5 * cos(dlpmp) * (delp-demp)
+ + ab6 * cos(slpmp) * (delp+demp);
+
+/* ----------------- */
+/* Series expansions */
+/* ----------------- */
+
+/* Longitude and distance plus derivatives. */
+ for ( n = NLR-1; n >= 0; n-- ) {
+ dn = (double) tlr[n].nd;
+ emn = (double) ( i = tlr[n].nem );
+ empn = (double) tlr[n].nemp;
+ fn = (double) tlr[n].nf;
+ switch ( abs(i) ) {
+ case 1:
+ en = e;
+ den = de;
+ break;
+ case 2:
+ en = esq;
+ den = desq;
+ break;
+ default:
+ en = 1.0;
+ den = 0.0;
+ }
+ arg = dn*d + emn*em + empn*emp + fn*f;
+ darg = dn*dd + emn*dem + empn*demp + fn*df;
+ farg = sin(arg);
+ v = farg * en;
+ dv = cos(arg)*darg*en + farg*den;
+ coeff = tlr[n].coefl;
+ vel += coeff * v;
+ vdel += coeff * dv;
+ farg = cos(arg);
+ v = farg * en;
+ dv = -sin(arg)*darg*en + farg*den;
+ coeff = tlr[n].coefr;
+ vr += coeff * v;
+ vdr += coeff * dv;
+ }
+ el = elp + ERFA_DD2R*vel;
+ del = ( delp + ERFA_DD2R*vdel ) / ERFA_DJC;
+ r = ( vr + r0 ) / ERFA_DAU;
+ dr = vdr / ERFA_DAU / ERFA_DJC;
+
+/* Latitude plus derivative. */
+ for ( n = NB-1; n >= 0; n-- ) {
+ dn = (double) tb[n].nd;
+ emn = (double) ( i = tb[n].nem );
+ empn = (double) tb[n].nemp;
+ fn = (double) tb[n].nf;
+ switch ( abs(i) ) {
+ case 1:
+ en = e;
+ den = de;
+ break;
+ case 2:
+ en = esq;
+ den = desq;
+ break;
+ default:
+ en = 1.0;
+ den = 0.0;
+ }
+ arg = dn*d + emn*em + empn*emp + fn*f;
+ darg = dn*dd + emn*dem + empn*demp + fn*df;
+ farg = sin(arg);
+ v = farg * en;
+ dv = cos(arg)*darg*en + farg*den;
+ coeff = tb[n].coefb;
+ vb += coeff * v;
+ vdb += coeff * dv;
+ }
+ b = vb * ERFA_DD2R;
+ db = vdb * ERFA_DD2R / ERFA_DJC;
+
+/* ------------------------------ */
+/* Transformation into final form */
+/* ------------------------------ */
+
+/* Longitude, latitude to x, y, z (au). */
+ eraS2pv ( el, b, r, del, db, dr, pv );
+
+/* IAU 2006 Fukushima-Williams bias+precession angles. */
+ eraPfw06 ( date1, date2, &gamb, &phib, &psib, &epsa );
+
+/* Mean ecliptic coordinates to GCRS rotation matrix. */
+ eraIr ( rm );
+ eraRz ( psib, rm );
+ eraRx ( -phib, rm );
+ eraRz ( -gamb, rm );
+
+/* Rotate the Moon position and velocity into GCRS (Note 6). */
+ eraRxpv ( rm, pv, pv );
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/num00a.c b/src/detail/erfa/num00a.c
new file mode 100644
index 000000000..fb186402c
--- /dev/null
+++ b/src/detail/erfa/num00a.c
@@ -0,0 +1,132 @@
+#include "erfa.h"
+
+void eraNum00a(double date1, double date2, double rmatn[3][3])
+/*
+** - - - - - - - - - -
+** e r a N u m 0 0 a
+** - - - - - - - - - -
+**
+** Form the matrix of nutation for a given date, IAU 2000A model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** rmatn double[3][3] nutation matrix
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix operates in the sense V(true) = rmatn * V(mean), where
+** the p-vector V(true) is with respect to the true equatorial triad
+** of date and the p-vector V(mean) is with respect to the mean
+** equatorial triad of date.
+**
+** 3) A faster, but slightly less accurate, result (about 1 mas) can be
+** obtained by using instead the eraNum00b function.
+**
+** Called:
+** eraPn00a bias/precession/nutation, IAU 2000A
+**
+** Reference:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992),
+** Section 3.222-3 (p114).
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double dpsi, deps, epsa, rb[3][3], rp[3][3], rbp[3][3], rbpn[3][3];
+
+
+/* Obtain the required matrix (discarding other results). */
+ eraPn00a(date1, date2,
+ &dpsi, &deps, &epsa, rb, rp, rbp, rmatn, rbpn);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/num00b.c b/src/detail/erfa/num00b.c
new file mode 100644
index 000000000..8853e9057
--- /dev/null
+++ b/src/detail/erfa/num00b.c
@@ -0,0 +1,132 @@
+#include "erfa.h"
+
+void eraNum00b(double date1, double date2, double rmatn[3][3])
+/*
+** - - - - - - - - - -
+** e r a N u m 0 0 b
+** - - - - - - - - - -
+**
+** Form the matrix of nutation for a given date, IAU 2000B model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** rmatn double[3][3] nutation matrix
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix operates in the sense V(true) = rmatn * V(mean), where
+** the p-vector V(true) is with respect to the true equatorial triad
+** of date and the p-vector V(mean) is with respect to the mean
+** equatorial triad of date.
+**
+** 3) The present function is faster, but slightly less accurate (about
+** 1 mas), than the eraNum00a function.
+**
+** Called:
+** eraPn00b bias/precession/nutation, IAU 2000B
+**
+** Reference:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992),
+** Section 3.222-3 (p114).
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double dpsi, deps, epsa, rb[3][3], rp[3][3], rbp[3][3], rbpn[3][3];
+
+
+/* Obtain the required matrix (discarding other results). */
+ eraPn00b(date1, date2,
+ &dpsi, &deps, &epsa, rb, rp, rbp, rmatn, rbpn);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/num06a.c b/src/detail/erfa/num06a.c
new file mode 100644
index 000000000..11d5b7b70
--- /dev/null
+++ b/src/detail/erfa/num06a.c
@@ -0,0 +1,136 @@
+#include "erfa.h"
+
+void eraNum06a(double date1, double date2, double rmatn[3][3])
+/*
+** - - - - - - - - - -
+** e r a N u m 0 6 a
+** - - - - - - - - - -
+**
+** Form the matrix of nutation for a given date, IAU 2006/2000A model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** rmatn double[3][3] nutation matrix
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix operates in the sense V(true) = rmatn * V(mean), where
+** the p-vector V(true) is with respect to the true equatorial triad
+** of date and the p-vector V(mean) is with respect to the mean
+** equatorial triad of date.
+**
+** Called:
+** eraObl06 mean obliquity, IAU 2006
+** eraNut06a nutation, IAU 2006/2000A
+** eraNumat form nutation matrix
+**
+** Reference:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992),
+** Section 3.222-3 (p114).
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double eps, dp, de;
+
+
+/* Mean obliquity. */
+ eps = eraObl06(date1, date2);
+
+/* Nutation components. */
+ eraNut06a(date1, date2, &dp, &de);
+
+/* Nutation matrix. */
+ eraNumat(eps, dp, de, rmatn);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/numat.c b/src/detail/erfa/numat.c
new file mode 100644
index 000000000..489bea8d5
--- /dev/null
+++ b/src/detail/erfa/numat.c
@@ -0,0 +1,120 @@
+#include "erfa.h"
+
+void eraNumat(double epsa, double dpsi, double deps, double rmatn[3][3])
+/*
+** - - - - - - - - -
+** e r a N u m a t
+** - - - - - - - - -
+**
+** Form the matrix of nutation.
+**
+** Given:
+** epsa double mean obliquity of date (Note 1)
+** dpsi,deps double nutation (Note 2)
+**
+** Returned:
+** rmatn double[3][3] nutation matrix (Note 3)
+**
+** Notes:
+**
+**
+** 1) The supplied mean obliquity epsa, must be consistent with the
+** precession-nutation models from which dpsi and deps were obtained.
+**
+** 2) The caller is responsible for providing the nutation components;
+** they are in longitude and obliquity, in radians and are with
+** respect to the equinox and ecliptic of date.
+**
+** 3) The matrix operates in the sense V(true) = rmatn * V(mean),
+** where the p-vector V(true) is with respect to the true
+** equatorial triad of date and the p-vector V(mean) is with
+** respect to the mean equatorial triad of date.
+**
+** Called:
+** eraIr initialize r-matrix to identity
+** eraRx rotate around X-axis
+** eraRz rotate around Z-axis
+**
+** Reference:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992),
+** Section 3.222-3 (p114).
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Build the rotation matrix. */
+ eraIr(rmatn);
+ eraRx(epsa, rmatn);
+ eraRz(-dpsi, rmatn);
+ eraRx(-(epsa + deps), rmatn);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/nut00a.c b/src/detail/erfa/nut00a.c
new file mode 100644
index 000000000..abc77fbef
--- /dev/null
+++ b/src/detail/erfa/nut00a.c
@@ -0,0 +1,2059 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraNut00a(double date1, double date2, double *dpsi, double *deps)
+/*
+** - - - - - - - - - -
+** e r a N u t 0 0 a
+** - - - - - - - - - -
+**
+** Nutation, IAU 2000A model (MHB2000 luni-solar and planetary nutation
+** with free core nutation omitted).
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** dpsi,deps double nutation, luni-solar + planetary (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The nutation components in longitude and obliquity are in radians
+** and with respect to the equinox and ecliptic of date. The
+** obliquity at J2000.0 is assumed to be the Lieske et al. (1977)
+** value of 84381.448 arcsec.
+**
+** Both the luni-solar and planetary nutations are included. The
+** latter are due to direct planetary nutations and the
+** perturbations of the lunar and terrestrial orbits.
+**
+** 3) The function computes the MHB2000 nutation series with the
+** associated corrections for planetary nutations. It is an
+** implementation of the nutation part of the IAU 2000A precession-
+** nutation model, formally adopted by the IAU General Assembly in
+** 2000, namely MHB2000 (Mathews et al. 2002), but with the free
+** core nutation (FCN - see Note 4) omitted.
+**
+** 4) The full MHB2000 model also contains contributions to the
+** nutations in longitude and obliquity due to the free-excitation
+** of the free-core-nutation during the period 1979-2000. These FCN
+** terms, which are time-dependent and unpredictable, are NOT
+** included in the present function and, if required, must be
+** independently computed. With the FCN corrections included, the
+** present function delivers a pole which is at current epochs
+** accurate to a few hundred microarcseconds. The omission of FCN
+** introduces further errors of about that size.
+**
+** 5) The present function provides classical nutation. The MHB2000
+** algorithm, from which it is adapted, deals also with (i) the
+** offsets between the GCRS and mean poles and (ii) the adjustments
+** in longitude and obliquity due to the changed precession rates.
+** These additional functions, namely frame bias and precession
+** adjustments, are supported by the ERFA functions eraBi00 and
+** eraPr00.
+**
+** 6) The MHB2000 algorithm also provides "total" nutations, comprising
+** the arithmetic sum of the frame bias, precession adjustments,
+** luni-solar nutation and planetary nutation. These total
+** nutations can be used in combination with an existing IAU 1976
+** precession implementation, such as eraPmat76, to deliver GCRS-
+** to-true predictions of sub-mas accuracy at current dates.
+** However, there are three shortcomings in the MHB2000 model that
+** must be taken into account if more accurate or definitive results
+** are required (see Wallace 2002):
+**
+** (i) The MHB2000 total nutations are simply arithmetic sums,
+** yet in reality the various components are successive Euler
+** rotations. This slight lack of rigor leads to cross terms
+** that exceed 1 mas after a century. The rigorous procedure
+** is to form the GCRS-to-true rotation matrix by applying the
+** bias, precession and nutation in that order.
+**
+** (ii) Although the precession adjustments are stated to be with
+** respect to Lieske et al. (1977), the MHB2000 model does
+** not specify which set of Euler angles are to be used and
+** how the adjustments are to be applied. The most literal
+** and straightforward procedure is to adopt the 4-rotation
+** epsilon_0, psi_A, omega_A, xi_A option, and to add DPSIPR
+** to psi_A and DEPSPR to both omega_A and eps_A.
+**
+** (iii) The MHB2000 model predates the determination by Chapront
+** et al. (2002) of a 14.6 mas displacement between the
+** J2000.0 mean equinox and the origin of the ICRS frame. It
+** should, however, be noted that neglecting this displacement
+** when calculating star coordinates does not lead to a
+** 14.6 mas change in right ascension, only a small second-
+** order distortion in the pattern of the precession-nutation
+** effect.
+**
+** For these reasons, the ERFA functions do not generate the "total
+** nutations" directly, though they can of course easily be
+** generated by calling eraBi00, eraPr00 and the present function
+** and adding the results.
+**
+** 7) The MHB2000 model contains 41 instances where the same frequency
+** appears multiple times, of which 38 are duplicates and three are
+** triplicates. To keep the present code close to the original MHB
+** algorithm, this small inefficiency has not been corrected.
+**
+** Called:
+** eraFal03 mean anomaly of the Moon
+** eraFaf03 mean argument of the latitude of the Moon
+** eraFaom03 mean longitude of the Moon's ascending node
+** eraFame03 mean longitude of Mercury
+** eraFave03 mean longitude of Venus
+** eraFae03 mean longitude of Earth
+** eraFama03 mean longitude of Mars
+** eraFaju03 mean longitude of Jupiter
+** eraFasa03 mean longitude of Saturn
+** eraFaur03 mean longitude of Uranus
+** eraFapa03 general accumulated precession in longitude
+**
+** References:
+**
+** Chapront, J., Chapront-Touze, M. & Francou, G. 2002,
+** Astron.Astrophys. 387, 700
+**
+** Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977,
+** Astron.Astrophys. 58, 1-16
+**
+** Mathews, P.M., Herring, T.A., Buffet, B.A. 2002, J.Geophys.Res.
+** 107, B4. The MHB_2000 code itself was obtained on 9th September
+** 2002 from ftp//maia.usno.navy.mil/conv2000/chapter5/IAU2000A.
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
+**
+** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
+** Astron.Astrophys.Supp.Ser. 135, 111
+**
+** Wallace, P.T., "Software for Implementing the IAU 2000
+** Resolutions", in IERS Workshop 5.1 (2002)
+**
+** This revision: 2021 July 20
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int i;
+ double t, el, elp, f, d, om, arg, dp, de, sarg, carg,
+ al, af, ad, aom, alme, alve, alea, alma,
+ alju, alsa, alur, alne, apa, dpsils, depsls,
+ dpsipl, depspl;
+
+/* Units of 0.1 microarcsecond to radians */
+ const double U2R = ERFA_DAS2R / 1e7;
+
+/* ------------------------- */
+/* Luni-Solar nutation model */
+/* ------------------------- */
+
+/* The units for the sine and cosine coefficients are */
+/* 0.1 microarcsecond and the same per Julian century */
+
+ static const struct {
+ int nl,nlp,nf,nd,nom; /* coefficients of l,l',F,D,Om */
+ double sp,spt,cp; /* longitude sin, t*sin, cos coefficients */
+ double ce,cet,se; /* obliquity cos, t*cos, sin coefficients */
+ } xls[] = {
+
+ /* 1- 10 */
+ { 0, 0, 0, 0, 1,
+ -172064161.0, -174666.0, 33386.0, 92052331.0, 9086.0, 15377.0},
+ { 0, 0, 2,-2, 2,
+ -13170906.0, -1675.0, -13696.0, 5730336.0, -3015.0, -4587.0},
+ { 0, 0, 2, 0, 2,-2276413.0,-234.0,2796.0,978459.0,-485.0, 1374.0},
+ { 0, 0, 0, 0, 2,2074554.0, 207.0, -698.0,-897492.0,470.0, -291.0},
+ { 0, 1, 0, 0, 0,1475877.0,-3633.0,11817.0,73871.0,-184.0,-1924.0},
+ { 0, 1, 2,-2, 2,-516821.0,1226.0, -524.0,224386.0,-677.0, -174.0},
+ { 1, 0, 0, 0, 0, 711159.0, 73.0, -872.0, -6750.0, 0.0, 358.0},
+ { 0, 0, 2, 0, 1,-387298.0,-367.0, 380.0, 200728.0, 18.0, 318.0},
+ { 1, 0, 2, 0, 2,-301461.0, -36.0, 816.0, 129025.0,-63.0, 367.0},
+ { 0,-1, 2,-2, 2, 215829.0,-494.0, 111.0, -95929.0,299.0, 132.0},
+
+ /* 11-20 */
+ { 0, 0, 2,-2, 1, 128227.0, 137.0, 181.0, -68982.0, -9.0, 39.0},
+ {-1, 0, 2, 0, 2, 123457.0, 11.0, 19.0, -53311.0, 32.0, -4.0},
+ {-1, 0, 0, 2, 0, 156994.0, 10.0, -168.0, -1235.0, 0.0, 82.0},
+ { 1, 0, 0, 0, 1, 63110.0, 63.0, 27.0, -33228.0, 0.0, -9.0},
+ {-1, 0, 0, 0, 1, -57976.0, -63.0, -189.0, 31429.0, 0.0, -75.0},
+ {-1, 0, 2, 2, 2, -59641.0, -11.0, 149.0, 25543.0,-11.0, 66.0},
+ { 1, 0, 2, 0, 1, -51613.0, -42.0, 129.0, 26366.0, 0.0, 78.0},
+ {-2, 0, 2, 0, 1, 45893.0, 50.0, 31.0, -24236.0,-10.0, 20.0},
+ { 0, 0, 0, 2, 0, 63384.0, 11.0, -150.0, -1220.0, 0.0, 29.0},
+ { 0, 0, 2, 2, 2, -38571.0, -1.0, 158.0, 16452.0,-11.0, 68.0},
+
+ /* 21-30 */
+ { 0,-2, 2,-2, 2, 32481.0, 0.0, 0.0, -13870.0, 0.0, 0.0},
+ {-2, 0, 0, 2, 0, -47722.0, 0.0, -18.0, 477.0, 0.0, -25.0},
+ { 2, 0, 2, 0, 2, -31046.0, -1.0, 131.0, 13238.0,-11.0, 59.0},
+ { 1, 0, 2,-2, 2, 28593.0, 0.0, -1.0, -12338.0, 10.0, -3.0},
+ {-1, 0, 2, 0, 1, 20441.0, 21.0, 10.0, -10758.0, 0.0, -3.0},
+ { 2, 0, 0, 0, 0, 29243.0, 0.0, -74.0, -609.0, 0.0, 13.0},
+ { 0, 0, 2, 0, 0, 25887.0, 0.0, -66.0, -550.0, 0.0, 11.0},
+ { 0, 1, 0, 0, 1, -14053.0, -25.0, 79.0, 8551.0, -2.0, -45.0},
+ {-1, 0, 0, 2, 1, 15164.0, 10.0, 11.0, -8001.0, 0.0, -1.0},
+ { 0, 2, 2,-2, 2, -15794.0, 72.0, -16.0, 6850.0,-42.0, -5.0},
+
+ /* 31-40 */
+ { 0, 0,-2, 2, 0, 21783.0, 0.0, 13.0, -167.0, 0.0, 13.0},
+ { 1, 0, 0,-2, 1, -12873.0, -10.0, -37.0, 6953.0, 0.0, -14.0},
+ { 0,-1, 0, 0, 1, -12654.0, 11.0, 63.0, 6415.0, 0.0, 26.0},
+ {-1, 0, 2, 2, 1, -10204.0, 0.0, 25.0, 5222.0, 0.0, 15.0},
+ { 0, 2, 0, 0, 0, 16707.0, -85.0, -10.0, 168.0, -1.0, 10.0},
+ { 1, 0, 2, 2, 2, -7691.0, 0.0, 44.0, 3268.0, 0.0, 19.0},
+ {-2, 0, 2, 0, 0, -11024.0, 0.0, -14.0, 104.0, 0.0, 2.0},
+ { 0, 1, 2, 0, 2, 7566.0, -21.0, -11.0, -3250.0, 0.0, -5.0},
+ { 0, 0, 2, 2, 1, -6637.0, -11.0, 25.0, 3353.0, 0.0, 14.0},
+ { 0,-1, 2, 0, 2, -7141.0, 21.0, 8.0, 3070.0, 0.0, 4.0},
+
+ /* 41-50 */
+ { 0, 0, 0, 2, 1, -6302.0, -11.0, 2.0, 3272.0, 0.0, 4.0},
+ { 1, 0, 2,-2, 1, 5800.0, 10.0, 2.0, -3045.0, 0.0, -1.0},
+ { 2, 0, 2,-2, 2, 6443.0, 0.0, -7.0, -2768.0, 0.0, -4.0},
+ {-2, 0, 0, 2, 1, -5774.0, -11.0, -15.0, 3041.0, 0.0, -5.0},
+ { 2, 0, 2, 0, 1, -5350.0, 0.0, 21.0, 2695.0, 0.0, 12.0},
+ { 0,-1, 2,-2, 1, -4752.0, -11.0, -3.0, 2719.0, 0.0, -3.0},
+ { 0, 0, 0,-2, 1, -4940.0, -11.0, -21.0, 2720.0, 0.0, -9.0},
+ {-1,-1, 0, 2, 0, 7350.0, 0.0, -8.0, -51.0, 0.0, 4.0},
+ { 2, 0, 0,-2, 1, 4065.0, 0.0, 6.0, -2206.0, 0.0, 1.0},
+ { 1, 0, 0, 2, 0, 6579.0, 0.0, -24.0, -199.0, 0.0, 2.0},
+
+ /* 51-60 */
+ { 0, 1, 2,-2, 1, 3579.0, 0.0, 5.0, -1900.0, 0.0, 1.0},
+ { 1,-1, 0, 0, 0, 4725.0, 0.0, -6.0, -41.0, 0.0, 3.0},
+ {-2, 0, 2, 0, 2, -3075.0, 0.0, -2.0, 1313.0, 0.0, -1.0},
+ { 3, 0, 2, 0, 2, -2904.0, 0.0, 15.0, 1233.0, 0.0, 7.0},
+ { 0,-1, 0, 2, 0, 4348.0, 0.0, -10.0, -81.0, 0.0, 2.0},
+ { 1,-1, 2, 0, 2, -2878.0, 0.0, 8.0, 1232.0, 0.0, 4.0},
+ { 0, 0, 0, 1, 0, -4230.0, 0.0, 5.0, -20.0, 0.0, -2.0},
+ {-1,-1, 2, 2, 2, -2819.0, 0.0, 7.0, 1207.0, 0.0, 3.0},
+ {-1, 0, 2, 0, 0, -4056.0, 0.0, 5.0, 40.0, 0.0, -2.0},
+ { 0,-1, 2, 2, 2, -2647.0, 0.0, 11.0, 1129.0, 0.0, 5.0},
+
+ /* 61-70 */
+ {-2, 0, 0, 0, 1, -2294.0, 0.0, -10.0, 1266.0, 0.0, -4.0},
+ { 1, 1, 2, 0, 2, 2481.0, 0.0, -7.0, -1062.0, 0.0, -3.0},
+ { 2, 0, 0, 0, 1, 2179.0, 0.0, -2.0, -1129.0, 0.0, -2.0},
+ {-1, 1, 0, 1, 0, 3276.0, 0.0, 1.0, -9.0, 0.0, 0.0},
+ { 1, 1, 0, 0, 0, -3389.0, 0.0, 5.0, 35.0, 0.0, -2.0},
+ { 1, 0, 2, 0, 0, 3339.0, 0.0, -13.0, -107.0, 0.0, 1.0},
+ {-1, 0, 2,-2, 1, -1987.0, 0.0, -6.0, 1073.0, 0.0, -2.0},
+ { 1, 0, 0, 0, 2, -1981.0, 0.0, 0.0, 854.0, 0.0, 0.0},
+ {-1, 0, 0, 1, 0, 4026.0, 0.0, -353.0, -553.0, 0.0, -139.0},
+ { 0, 0, 2, 1, 2, 1660.0, 0.0, -5.0, -710.0, 0.0, -2.0},
+
+ /* 71-80 */
+ {-1, 0, 2, 4, 2, -1521.0, 0.0, 9.0, 647.0, 0.0, 4.0},
+ {-1, 1, 0, 1, 1, 1314.0, 0.0, 0.0, -700.0, 0.0, 0.0},
+ { 0,-2, 2,-2, 1, -1283.0, 0.0, 0.0, 672.0, 0.0, 0.0},
+ { 1, 0, 2, 2, 1, -1331.0, 0.0, 8.0, 663.0, 0.0, 4.0},
+ {-2, 0, 2, 2, 2, 1383.0, 0.0, -2.0, -594.0, 0.0, -2.0},
+ {-1, 0, 0, 0, 2, 1405.0, 0.0, 4.0, -610.0, 0.0, 2.0},
+ { 1, 1, 2,-2, 2, 1290.0, 0.0, 0.0, -556.0, 0.0, 0.0},
+ {-2, 0, 2, 4, 2, -1214.0, 0.0, 5.0, 518.0, 0.0, 2.0},
+ {-1, 0, 4, 0, 2, 1146.0, 0.0, -3.0, -490.0, 0.0, -1.0},
+ { 2, 0, 2,-2, 1, 1019.0, 0.0, -1.0, -527.0, 0.0, -1.0},
+
+ /* 81-90 */
+ { 2, 0, 2, 2, 2, -1100.0, 0.0, 9.0, 465.0, 0.0, 4.0},
+ { 1, 0, 0, 2, 1, -970.0, 0.0, 2.0, 496.0, 0.0, 1.0},
+ { 3, 0, 0, 0, 0, 1575.0, 0.0, -6.0, -50.0, 0.0, 0.0},
+ { 3, 0, 2,-2, 2, 934.0, 0.0, -3.0, -399.0, 0.0, -1.0},
+ { 0, 0, 4,-2, 2, 922.0, 0.0, -1.0, -395.0, 0.0, -1.0},
+ { 0, 1, 2, 0, 1, 815.0, 0.0, -1.0, -422.0, 0.0, -1.0},
+ { 0, 0,-2, 2, 1, 834.0, 0.0, 2.0, -440.0, 0.0, 1.0},
+ { 0, 0, 2,-2, 3, 1248.0, 0.0, 0.0, -170.0, 0.0, 1.0},
+ {-1, 0, 0, 4, 0, 1338.0, 0.0, -5.0, -39.0, 0.0, 0.0},
+ { 2, 0,-2, 0, 1, 716.0, 0.0, -2.0, -389.0, 0.0, -1.0},
+
+ /* 91-100 */
+ {-2, 0, 0, 4, 0, 1282.0, 0.0, -3.0, -23.0, 0.0, 1.0},
+ {-1,-1, 0, 2, 1, 742.0, 0.0, 1.0, -391.0, 0.0, 0.0},
+ {-1, 0, 0, 1, 1, 1020.0, 0.0, -25.0, -495.0, 0.0, -10.0},
+ { 0, 1, 0, 0, 2, 715.0, 0.0, -4.0, -326.0, 0.0, 2.0},
+ { 0, 0,-2, 0, 1, -666.0, 0.0, -3.0, 369.0, 0.0, -1.0},
+ { 0,-1, 2, 0, 1, -667.0, 0.0, 1.0, 346.0, 0.0, 1.0},
+ { 0, 0, 2,-1, 2, -704.0, 0.0, 0.0, 304.0, 0.0, 0.0},
+ { 0, 0, 2, 4, 2, -694.0, 0.0, 5.0, 294.0, 0.0, 2.0},
+ {-2,-1, 0, 2, 0, -1014.0, 0.0, -1.0, 4.0, 0.0, -1.0},
+ { 1, 1, 0,-2, 1, -585.0, 0.0, -2.0, 316.0, 0.0, -1.0},
+
+ /* 101-110 */
+ {-1, 1, 0, 2, 0, -949.0, 0.0, 1.0, 8.0, 0.0, -1.0},
+ {-1, 1, 0, 1, 2, -595.0, 0.0, 0.0, 258.0, 0.0, 0.0},
+ { 1,-1, 0, 0, 1, 528.0, 0.0, 0.0, -279.0, 0.0, 0.0},
+ { 1,-1, 2, 2, 2, -590.0, 0.0, 4.0, 252.0, 0.0, 2.0},
+ {-1, 1, 2, 2, 2, 570.0, 0.0, -2.0, -244.0, 0.0, -1.0},
+ { 3, 0, 2, 0, 1, -502.0, 0.0, 3.0, 250.0, 0.0, 2.0},
+ { 0, 1,-2, 2, 0, -875.0, 0.0, 1.0, 29.0, 0.0, 0.0},
+ {-1, 0, 0,-2, 1, -492.0, 0.0, -3.0, 275.0, 0.0, -1.0},
+ { 0, 1, 2, 2, 2, 535.0, 0.0, -2.0, -228.0, 0.0, -1.0},
+ {-1,-1, 2, 2, 1, -467.0, 0.0, 1.0, 240.0, 0.0, 1.0},
+
+ /* 111-120 */
+ { 0,-1, 0, 0, 2, 591.0, 0.0, 0.0, -253.0, 0.0, 0.0},
+ { 1, 0, 2,-4, 1, -453.0, 0.0, -1.0, 244.0, 0.0, -1.0},
+ {-1, 0,-2, 2, 0, 766.0, 0.0, 1.0, 9.0, 0.0, 0.0},
+ { 0,-1, 2, 2, 1, -446.0, 0.0, 2.0, 225.0, 0.0, 1.0},
+ { 2,-1, 2, 0, 2, -488.0, 0.0, 2.0, 207.0, 0.0, 1.0},
+ { 0, 0, 0, 2, 2, -468.0, 0.0, 0.0, 201.0, 0.0, 0.0},
+ { 1,-1, 2, 0, 1, -421.0, 0.0, 1.0, 216.0, 0.0, 1.0},
+ {-1, 1, 2, 0, 2, 463.0, 0.0, 0.0, -200.0, 0.0, 0.0},
+ { 0, 1, 0, 2, 0, -673.0, 0.0, 2.0, 14.0, 0.0, 0.0},
+ { 0,-1,-2, 2, 0, 658.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+
+ /* 121-130 */
+ { 0, 3, 2,-2, 2, -438.0, 0.0, 0.0, 188.0, 0.0, 0.0},
+ { 0, 0, 0, 1, 1, -390.0, 0.0, 0.0, 205.0, 0.0, 0.0},
+ {-1, 0, 2, 2, 0, 639.0, -11.0, -2.0, -19.0, 0.0, 0.0},
+ { 2, 1, 2, 0, 2, 412.0, 0.0, -2.0, -176.0, 0.0, -1.0},
+ { 1, 1, 0, 0, 1, -361.0, 0.0, 0.0, 189.0, 0.0, 0.0},
+ { 1, 1, 2, 0, 1, 360.0, 0.0, -1.0, -185.0, 0.0, -1.0},
+ { 2, 0, 0, 2, 0, 588.0, 0.0, -3.0, -24.0, 0.0, 0.0},
+ { 1, 0,-2, 2, 0, -578.0, 0.0, 1.0, 5.0, 0.0, 0.0},
+ {-1, 0, 0, 2, 2, -396.0, 0.0, 0.0, 171.0, 0.0, 0.0},
+ { 0, 1, 0, 1, 0, 565.0, 0.0, -1.0, -6.0, 0.0, 0.0},
+
+ /* 131-140 */
+ { 0, 1, 0,-2, 1, -335.0, 0.0, -1.0, 184.0, 0.0, -1.0},
+ {-1, 0, 2,-2, 2, 357.0, 0.0, 1.0, -154.0, 0.0, 0.0},
+ { 0, 0, 0,-1, 1, 321.0, 0.0, 1.0, -174.0, 0.0, 0.0},
+ {-1, 1, 0, 0, 1, -301.0, 0.0, -1.0, 162.0, 0.0, 0.0},
+ { 1, 0, 2,-1, 2, -334.0, 0.0, 0.0, 144.0, 0.0, 0.0},
+ { 1,-1, 0, 2, 0, 493.0, 0.0, -2.0, -15.0, 0.0, 0.0},
+ { 0, 0, 0, 4, 0, 494.0, 0.0, -2.0, -19.0, 0.0, 0.0},
+ { 1, 0, 2, 1, 2, 337.0, 0.0, -1.0, -143.0, 0.0, -1.0},
+ { 0, 0, 2, 1, 1, 280.0, 0.0, -1.0, -144.0, 0.0, 0.0},
+ { 1, 0, 0,-2, 2, 309.0, 0.0, 1.0, -134.0, 0.0, 0.0},
+
+ /* 141-150 */
+ {-1, 0, 2, 4, 1, -263.0, 0.0, 2.0, 131.0, 0.0, 1.0},
+ { 1, 0,-2, 0, 1, 253.0, 0.0, 1.0, -138.0, 0.0, 0.0},
+ { 1, 1, 2,-2, 1, 245.0, 0.0, 0.0, -128.0, 0.0, 0.0},
+ { 0, 0, 2, 2, 0, 416.0, 0.0, -2.0, -17.0, 0.0, 0.0},
+ {-1, 0, 2,-1, 1, -229.0, 0.0, 0.0, 128.0, 0.0, 0.0},
+ {-2, 0, 2, 2, 1, 231.0, 0.0, 0.0, -120.0, 0.0, 0.0},
+ { 4, 0, 2, 0, 2, -259.0, 0.0, 2.0, 109.0, 0.0, 1.0},
+ { 2,-1, 0, 0, 0, 375.0, 0.0, -1.0, -8.0, 0.0, 0.0},
+ { 2, 1, 2,-2, 2, 252.0, 0.0, 0.0, -108.0, 0.0, 0.0},
+ { 0, 1, 2, 1, 2, -245.0, 0.0, 1.0, 104.0, 0.0, 0.0},
+
+ /* 151-160 */
+ { 1, 0, 4,-2, 2, 243.0, 0.0, -1.0, -104.0, 0.0, 0.0},
+ {-1,-1, 0, 0, 1, 208.0, 0.0, 1.0, -112.0, 0.0, 0.0},
+ { 0, 1, 0, 2, 1, 199.0, 0.0, 0.0, -102.0, 0.0, 0.0},
+ {-2, 0, 2, 4, 1, -208.0, 0.0, 1.0, 105.0, 0.0, 0.0},
+ { 2, 0, 2, 0, 0, 335.0, 0.0, -2.0, -14.0, 0.0, 0.0},
+ { 1, 0, 0, 1, 0, -325.0, 0.0, 1.0, 7.0, 0.0, 0.0},
+ {-1, 0, 0, 4, 1, -187.0, 0.0, 0.0, 96.0, 0.0, 0.0},
+ {-1, 0, 4, 0, 1, 197.0, 0.0, -1.0, -100.0, 0.0, 0.0},
+ { 2, 0, 2, 2, 1, -192.0, 0.0, 2.0, 94.0, 0.0, 1.0},
+ { 0, 0, 2,-3, 2, -188.0, 0.0, 0.0, 83.0, 0.0, 0.0},
+
+ /* 161-170 */
+ {-1,-2, 0, 2, 0, 276.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 2, 1, 0, 0, 0, -286.0, 0.0, 1.0, 6.0, 0.0, 0.0},
+ { 0, 0, 4, 0, 2, 186.0, 0.0, -1.0, -79.0, 0.0, 0.0},
+ { 0, 0, 0, 0, 3, -219.0, 0.0, 0.0, 43.0, 0.0, 0.0},
+ { 0, 3, 0, 0, 0, 276.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 0, 0, 2,-4, 1, -153.0, 0.0, -1.0, 84.0, 0.0, 0.0},
+ { 0,-1, 0, 2, 1, -156.0, 0.0, 0.0, 81.0, 0.0, 0.0},
+ { 0, 0, 0, 4, 1, -154.0, 0.0, 1.0, 78.0, 0.0, 0.0},
+ {-1,-1, 2, 4, 2, -174.0, 0.0, 1.0, 75.0, 0.0, 0.0},
+ { 1, 0, 2, 4, 2, -163.0, 0.0, 2.0, 69.0, 0.0, 1.0},
+
+ /* 171-180 */
+ {-2, 2, 0, 2, 0, -228.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ {-2,-1, 2, 0, 1, 91.0, 0.0, -4.0, -54.0, 0.0, -2.0},
+ {-2, 0, 0, 2, 2, 175.0, 0.0, 0.0, -75.0, 0.0, 0.0},
+ {-1,-1, 2, 0, 2, -159.0, 0.0, 0.0, 69.0, 0.0, 0.0},
+ { 0, 0, 4,-2, 1, 141.0, 0.0, 0.0, -72.0, 0.0, 0.0},
+ { 3, 0, 2,-2, 1, 147.0, 0.0, 0.0, -75.0, 0.0, 0.0},
+ {-2,-1, 0, 2, 1, -132.0, 0.0, 0.0, 69.0, 0.0, 0.0},
+ { 1, 0, 0,-1, 1, 159.0, 0.0, -28.0, -54.0, 0.0, 11.0},
+ { 0,-2, 0, 2, 0, 213.0, 0.0, 0.0, -4.0, 0.0, 0.0},
+ {-2, 0, 0, 4, 1, 123.0, 0.0, 0.0, -64.0, 0.0, 0.0},
+
+ /* 181-190 */
+ {-3, 0, 0, 0, 1, -118.0, 0.0, -1.0, 66.0, 0.0, 0.0},
+ { 1, 1, 2, 2, 2, 144.0, 0.0, -1.0, -61.0, 0.0, 0.0},
+ { 0, 0, 2, 4, 1, -121.0, 0.0, 1.0, 60.0, 0.0, 0.0},
+ { 3, 0, 2, 2, 2, -134.0, 0.0, 1.0, 56.0, 0.0, 1.0},
+ {-1, 1, 2,-2, 1, -105.0, 0.0, 0.0, 57.0, 0.0, 0.0},
+ { 2, 0, 0,-4, 1, -102.0, 0.0, 0.0, 56.0, 0.0, 0.0},
+ { 0, 0, 0,-2, 2, 120.0, 0.0, 0.0, -52.0, 0.0, 0.0},
+ { 2, 0, 2,-4, 1, 101.0, 0.0, 0.0, -54.0, 0.0, 0.0},
+ {-1, 1, 0, 2, 1, -113.0, 0.0, 0.0, 59.0, 0.0, 0.0},
+ { 0, 0, 2,-1, 1, -106.0, 0.0, 0.0, 61.0, 0.0, 0.0},
+
+ /* 191-200 */
+ { 0,-2, 2, 2, 2, -129.0, 0.0, 1.0, 55.0, 0.0, 0.0},
+ { 2, 0, 0, 2, 1, -114.0, 0.0, 0.0, 57.0, 0.0, 0.0},
+ { 4, 0, 2,-2, 2, 113.0, 0.0, -1.0, -49.0, 0.0, 0.0},
+ { 2, 0, 0,-2, 2, -102.0, 0.0, 0.0, 44.0, 0.0, 0.0},
+ { 0, 2, 0, 0, 1, -94.0, 0.0, 0.0, 51.0, 0.0, 0.0},
+ { 1, 0, 0,-4, 1, -100.0, 0.0, -1.0, 56.0, 0.0, 0.0},
+ { 0, 2, 2,-2, 1, 87.0, 0.0, 0.0, -47.0, 0.0, 0.0},
+ {-3, 0, 0, 4, 0, 161.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ {-1, 1, 2, 0, 1, 96.0, 0.0, 0.0, -50.0, 0.0, 0.0},
+ {-1,-1, 0, 4, 0, 151.0, 0.0, -1.0, -5.0, 0.0, 0.0},
+
+ /* 201-210 */
+ {-1,-2, 2, 2, 2, -104.0, 0.0, 0.0, 44.0, 0.0, 0.0},
+ {-2,-1, 2, 4, 2, -110.0, 0.0, 0.0, 48.0, 0.0, 0.0},
+ { 1,-1, 2, 2, 1, -100.0, 0.0, 1.0, 50.0, 0.0, 0.0},
+ {-2, 1, 0, 2, 0, 92.0, 0.0, -5.0, 12.0, 0.0, -2.0},
+ {-2, 1, 2, 0, 1, 82.0, 0.0, 0.0, -45.0, 0.0, 0.0},
+ { 2, 1, 0,-2, 1, 82.0, 0.0, 0.0, -45.0, 0.0, 0.0},
+ {-3, 0, 2, 0, 1, -78.0, 0.0, 0.0, 41.0, 0.0, 0.0},
+ {-2, 0, 2,-2, 1, -77.0, 0.0, 0.0, 43.0, 0.0, 0.0},
+ {-1, 1, 0, 2, 2, 2.0, 0.0, 0.0, 54.0, 0.0, 0.0},
+ { 0,-1, 2,-1, 2, 94.0, 0.0, 0.0, -40.0, 0.0, 0.0},
+
+ /* 211-220 */
+ {-1, 0, 4,-2, 2, -93.0, 0.0, 0.0, 40.0, 0.0, 0.0},
+ { 0,-2, 2, 0, 2, -83.0, 0.0, 10.0, 40.0, 0.0, -2.0},
+ {-1, 0, 2, 1, 2, 83.0, 0.0, 0.0, -36.0, 0.0, 0.0},
+ { 2, 0, 0, 0, 2, -91.0, 0.0, 0.0, 39.0, 0.0, 0.0},
+ { 0, 0, 2, 0, 3, 128.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ {-2, 0, 4, 0, 2, -79.0, 0.0, 0.0, 34.0, 0.0, 0.0},
+ {-1, 0,-2, 0, 1, -83.0, 0.0, 0.0, 47.0, 0.0, 0.0},
+ {-1, 1, 2, 2, 1, 84.0, 0.0, 0.0, -44.0, 0.0, 0.0},
+ { 3, 0, 0, 0, 1, 83.0, 0.0, 0.0, -43.0, 0.0, 0.0},
+ {-1, 0, 2, 3, 2, 91.0, 0.0, 0.0, -39.0, 0.0, 0.0},
+
+ /* 221-230 */
+ { 2,-1, 2, 0, 1, -77.0, 0.0, 0.0, 39.0, 0.0, 0.0},
+ { 0, 1, 2, 2, 1, 84.0, 0.0, 0.0, -43.0, 0.0, 0.0},
+ { 0,-1, 2, 4, 2, -92.0, 0.0, 1.0, 39.0, 0.0, 0.0},
+ { 2,-1, 2, 2, 2, -92.0, 0.0, 1.0, 39.0, 0.0, 0.0},
+ { 0, 2,-2, 2, 0, -94.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1,-1, 2,-1, 1, 68.0, 0.0, 0.0, -36.0, 0.0, 0.0},
+ { 0,-2, 0, 0, 1, -61.0, 0.0, 0.0, 32.0, 0.0, 0.0},
+ { 1, 0, 2,-4, 2, 71.0, 0.0, 0.0, -31.0, 0.0, 0.0},
+ { 1,-1, 0,-2, 1, 62.0, 0.0, 0.0, -34.0, 0.0, 0.0},
+ {-1,-1, 2, 0, 1, -63.0, 0.0, 0.0, 33.0, 0.0, 0.0},
+
+ /* 231-240 */
+ { 1,-1, 2,-2, 2, -73.0, 0.0, 0.0, 32.0, 0.0, 0.0},
+ {-2,-1, 0, 4, 0, 115.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ {-1, 0, 0, 3, 0, -103.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-2,-1, 2, 2, 2, 63.0, 0.0, 0.0, -28.0, 0.0, 0.0},
+ { 0, 2, 2, 0, 2, 74.0, 0.0, 0.0, -32.0, 0.0, 0.0},
+ { 1, 1, 0, 2, 0, -103.0, 0.0, -3.0, 3.0, 0.0, -1.0},
+ { 2, 0, 2,-1, 2, -69.0, 0.0, 0.0, 30.0, 0.0, 0.0},
+ { 1, 0, 2, 1, 1, 57.0, 0.0, 0.0, -29.0, 0.0, 0.0},
+ { 4, 0, 0, 0, 0, 94.0, 0.0, 0.0, -4.0, 0.0, 0.0},
+ { 2, 1, 2, 0, 1, 64.0, 0.0, 0.0, -33.0, 0.0, 0.0},
+
+ /* 241-250 */
+ { 3,-1, 2, 0, 2, -63.0, 0.0, 0.0, 26.0, 0.0, 0.0},
+ {-2, 2, 0, 2, 1, -38.0, 0.0, 0.0, 20.0, 0.0, 0.0},
+ { 1, 0, 2,-3, 1, -43.0, 0.0, 0.0, 24.0, 0.0, 0.0},
+ { 1, 1, 2,-4, 1, -45.0, 0.0, 0.0, 23.0, 0.0, 0.0},
+ {-1,-1, 2,-2, 1, 47.0, 0.0, 0.0, -24.0, 0.0, 0.0},
+ { 0,-1, 0,-1, 1, -48.0, 0.0, 0.0, 25.0, 0.0, 0.0},
+ { 0,-1, 0,-2, 1, 45.0, 0.0, 0.0, -26.0, 0.0, 0.0},
+ {-2, 0, 0, 0, 2, 56.0, 0.0, 0.0, -25.0, 0.0, 0.0},
+ {-2, 0,-2, 2, 0, 88.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-1, 0,-2, 4, 0, -75.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+
+ /* 251-260 */
+ { 1,-2, 0, 0, 0, 85.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0, 1, 0, 1, 1, 49.0, 0.0, 0.0, -26.0, 0.0, 0.0},
+ {-1, 2, 0, 2, 0, -74.0, 0.0, -3.0, -1.0, 0.0, -1.0},
+ { 1,-1, 2,-2, 1, -39.0, 0.0, 0.0, 21.0, 0.0, 0.0},
+ { 1, 2, 2,-2, 2, 45.0, 0.0, 0.0, -20.0, 0.0, 0.0},
+ { 2,-1, 2,-2, 2, 51.0, 0.0, 0.0, -22.0, 0.0, 0.0},
+ { 1, 0, 2,-1, 1, -40.0, 0.0, 0.0, 21.0, 0.0, 0.0},
+ { 2, 1, 2,-2, 1, 41.0, 0.0, 0.0, -21.0, 0.0, 0.0},
+ {-2, 0, 0,-2, 1, -42.0, 0.0, 0.0, 24.0, 0.0, 0.0},
+ { 1,-2, 2, 0, 2, -51.0, 0.0, 0.0, 22.0, 0.0, 0.0},
+
+ /* 261-270 */
+ { 0, 1, 2, 1, 1, -42.0, 0.0, 0.0, 22.0, 0.0, 0.0},
+ { 1, 0, 4,-2, 1, 39.0, 0.0, 0.0, -21.0, 0.0, 0.0},
+ {-2, 0, 4, 2, 2, 46.0, 0.0, 0.0, -18.0, 0.0, 0.0},
+ { 1, 1, 2, 1, 2, -53.0, 0.0, 0.0, 22.0, 0.0, 0.0},
+ { 1, 0, 0, 4, 0, 82.0, 0.0, 0.0, -4.0, 0.0, 0.0},
+ { 1, 0, 2, 2, 0, 81.0, 0.0, -1.0, -4.0, 0.0, 0.0},
+ { 2, 0, 2, 1, 2, 47.0, 0.0, 0.0, -19.0, 0.0, 0.0},
+ { 3, 1, 2, 0, 2, 53.0, 0.0, 0.0, -23.0, 0.0, 0.0},
+ { 4, 0, 2, 0, 1, -45.0, 0.0, 0.0, 22.0, 0.0, 0.0},
+ {-2,-1, 2, 0, 0, -44.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+
+ /* 271-280 */
+ { 0, 1,-2, 2, 1, -33.0, 0.0, 0.0, 16.0, 0.0, 0.0},
+ { 1, 0,-2, 1, 0, -61.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ { 0,-1,-2, 2, 1, 28.0, 0.0, 0.0, -15.0, 0.0, 0.0},
+ { 2,-1, 0,-2, 1, -38.0, 0.0, 0.0, 19.0, 0.0, 0.0},
+ {-1, 0, 2,-1, 2, -33.0, 0.0, 0.0, 21.0, 0.0, 0.0},
+ { 1, 0, 2,-3, 2, -60.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0, 1, 2,-2, 3, 48.0, 0.0, 0.0, -10.0, 0.0, 0.0},
+ { 0, 0, 2,-3, 1, 27.0, 0.0, 0.0, -14.0, 0.0, 0.0},
+ {-1, 0,-2, 2, 1, 38.0, 0.0, 0.0, -20.0, 0.0, 0.0},
+ { 0, 0, 2,-4, 2, 31.0, 0.0, 0.0, -13.0, 0.0, 0.0},
+
+ /* 281-290 */
+ {-2, 1, 0, 0, 1, -29.0, 0.0, 0.0, 15.0, 0.0, 0.0},
+ {-1, 0, 0,-1, 1, 28.0, 0.0, 0.0, -15.0, 0.0, 0.0},
+ { 2, 0, 2,-4, 2, -32.0, 0.0, 0.0, 15.0, 0.0, 0.0},
+ { 0, 0, 4,-4, 4, 45.0, 0.0, 0.0, -8.0, 0.0, 0.0},
+ { 0, 0, 4,-4, 2, -44.0, 0.0, 0.0, 19.0, 0.0, 0.0},
+ {-1,-2, 0, 2, 1, 28.0, 0.0, 0.0, -15.0, 0.0, 0.0},
+ {-2, 0, 0, 3, 0, -51.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1, 0,-2, 2, 1, -36.0, 0.0, 0.0, 20.0, 0.0, 0.0},
+ {-3, 0, 2, 2, 2, 44.0, 0.0, 0.0, -19.0, 0.0, 0.0},
+ {-3, 0, 2, 2, 1, 26.0, 0.0, 0.0, -14.0, 0.0, 0.0},
+
+ /* 291-300 */
+ {-2, 0, 2, 2, 0, -60.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 2,-1, 0, 0, 1, 35.0, 0.0, 0.0, -18.0, 0.0, 0.0},
+ {-2, 1, 2, 2, 2, -27.0, 0.0, 0.0, 11.0, 0.0, 0.0},
+ { 1, 1, 0, 1, 0, 47.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ { 0, 1, 4,-2, 2, 36.0, 0.0, 0.0, -15.0, 0.0, 0.0},
+ {-1, 1, 0,-2, 1, -36.0, 0.0, 0.0, 20.0, 0.0, 0.0},
+ { 0, 0, 0,-4, 1, -35.0, 0.0, 0.0, 19.0, 0.0, 0.0},
+ { 1,-1, 0, 2, 1, -37.0, 0.0, 0.0, 19.0, 0.0, 0.0},
+ { 1, 1, 0, 2, 1, 32.0, 0.0, 0.0, -16.0, 0.0, 0.0},
+ {-1, 2, 2, 2, 2, 35.0, 0.0, 0.0, -14.0, 0.0, 0.0},
+
+ /* 301-310 */
+ { 3, 1, 2,-2, 2, 32.0, 0.0, 0.0, -13.0, 0.0, 0.0},
+ { 0,-1, 0, 4, 0, 65.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 2,-1, 0, 2, 0, 47.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ { 0, 0, 4, 0, 1, 32.0, 0.0, 0.0, -16.0, 0.0, 0.0},
+ { 2, 0, 4,-2, 2, 37.0, 0.0, 0.0, -16.0, 0.0, 0.0},
+ {-1,-1, 2, 4, 1, -30.0, 0.0, 0.0, 15.0, 0.0, 0.0},
+ { 1, 0, 0, 4, 1, -32.0, 0.0, 0.0, 16.0, 0.0, 0.0},
+ { 1,-2, 2, 2, 2, -31.0, 0.0, 0.0, 13.0, 0.0, 0.0},
+ { 0, 0, 2, 3, 2, 37.0, 0.0, 0.0, -16.0, 0.0, 0.0},
+ {-1, 1, 2, 4, 2, 31.0, 0.0, 0.0, -13.0, 0.0, 0.0},
+
+ /* 311-320 */
+ { 3, 0, 0, 2, 0, 49.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ {-1, 0, 4, 2, 2, 32.0, 0.0, 0.0, -13.0, 0.0, 0.0},
+ { 1, 1, 2, 2, 1, 23.0, 0.0, 0.0, -12.0, 0.0, 0.0},
+ {-2, 0, 2, 6, 2, -43.0, 0.0, 0.0, 18.0, 0.0, 0.0},
+ { 2, 1, 2, 2, 2, 26.0, 0.0, 0.0, -11.0, 0.0, 0.0},
+ {-1, 0, 2, 6, 2, -32.0, 0.0, 0.0, 14.0, 0.0, 0.0},
+ { 1, 0, 2, 4, 1, -29.0, 0.0, 0.0, 14.0, 0.0, 0.0},
+ { 2, 0, 2, 4, 2, -27.0, 0.0, 0.0, 12.0, 0.0, 0.0},
+ { 1, 1,-2, 1, 0, 30.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-3, 1, 2, 1, 2, -11.0, 0.0, 0.0, 5.0, 0.0, 0.0},
+
+ /* 321-330 */
+ { 2, 0,-2, 0, 2, -21.0, 0.0, 0.0, 10.0, 0.0, 0.0},
+ {-1, 0, 0, 1, 2, -34.0, 0.0, 0.0, 15.0, 0.0, 0.0},
+ {-4, 0, 2, 2, 1, -10.0, 0.0, 0.0, 6.0, 0.0, 0.0},
+ {-1,-1, 0, 1, 0, -36.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0, 0,-2, 2, 2, -9.0, 0.0, 0.0, 4.0, 0.0, 0.0},
+ { 1, 0, 0,-1, 2, -12.0, 0.0, 0.0, 5.0, 0.0, 0.0},
+ { 0,-1, 2,-2, 3, -21.0, 0.0, 0.0, 5.0, 0.0, 0.0},
+ {-2, 1, 2, 0, 0, -29.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ { 0, 0, 2,-2, 4, -15.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ {-2,-2, 0, 2, 0, -20.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+
+ /* 331-340 */
+ {-2, 0,-2, 4, 0, 28.0, 0.0, 0.0, 0.0, 0.0, -2.0},
+ { 0,-2,-2, 2, 0, 17.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1, 2, 0,-2, 1, -22.0, 0.0, 0.0, 12.0, 0.0, 0.0},
+ { 3, 0, 0,-4, 1, -14.0, 0.0, 0.0, 7.0, 0.0, 0.0},
+ {-1, 1, 2,-2, 2, 24.0, 0.0, 0.0, -11.0, 0.0, 0.0},
+ { 1,-1, 2,-4, 1, 11.0, 0.0, 0.0, -6.0, 0.0, 0.0},
+ { 1, 1, 0,-2, 2, 14.0, 0.0, 0.0, -6.0, 0.0, 0.0},
+ {-3, 0, 2, 0, 0, 24.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-3, 0, 2, 0, 2, 18.0, 0.0, 0.0, -8.0, 0.0, 0.0},
+ {-2, 0, 0, 1, 0, -38.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+
+ /* 341-350 */
+ { 0, 0,-2, 1, 0, -31.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-3, 0, 0, 2, 1, -16.0, 0.0, 0.0, 8.0, 0.0, 0.0},
+ {-1,-1,-2, 2, 0, 29.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0, 1, 2,-4, 1, -18.0, 0.0, 0.0, 10.0, 0.0, 0.0},
+ { 2, 1, 0,-4, 1, -10.0, 0.0, 0.0, 5.0, 0.0, 0.0},
+ { 0, 2, 0,-2, 1, -17.0, 0.0, 0.0, 10.0, 0.0, 0.0},
+ { 1, 0, 0,-3, 1, 9.0, 0.0, 0.0, -4.0, 0.0, 0.0},
+ {-2, 0, 2,-2, 2, 16.0, 0.0, 0.0, -6.0, 0.0, 0.0},
+ {-2,-1, 0, 0, 1, 22.0, 0.0, 0.0, -12.0, 0.0, 0.0},
+ {-4, 0, 0, 2, 0, 20.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+
+ /* 351-360 */
+ { 1, 1, 0,-4, 1, -13.0, 0.0, 0.0, 6.0, 0.0, 0.0},
+ {-1, 0, 2,-4, 1, -17.0, 0.0, 0.0, 9.0, 0.0, 0.0},
+ { 0, 0, 4,-4, 1, -14.0, 0.0, 0.0, 8.0, 0.0, 0.0},
+ { 0, 3, 2,-2, 2, 0.0, 0.0, 0.0, -7.0, 0.0, 0.0},
+ {-3,-1, 0, 4, 0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-3, 0, 0, 4, 1, 19.0, 0.0, 0.0, -10.0, 0.0, 0.0},
+ { 1,-1,-2, 2, 0, -34.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1,-1, 0, 2, 2, -20.0, 0.0, 0.0, 8.0, 0.0, 0.0},
+ { 1,-2, 0, 0, 1, 9.0, 0.0, 0.0, -5.0, 0.0, 0.0},
+ { 1,-1, 0, 0, 2, -18.0, 0.0, 0.0, 7.0, 0.0, 0.0},
+
+ /* 361-370 */
+ { 0, 0, 0, 1, 2, 13.0, 0.0, 0.0, -6.0, 0.0, 0.0},
+ {-1,-1, 2, 0, 0, 17.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1,-2, 2,-2, 2, -12.0, 0.0, 0.0, 5.0, 0.0, 0.0},
+ { 0,-1, 2,-1, 1, 15.0, 0.0, 0.0, -8.0, 0.0, 0.0},
+ {-1, 0, 2, 0, 3, -11.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ { 1, 1, 0, 0, 2, 13.0, 0.0, 0.0, -5.0, 0.0, 0.0},
+ {-1, 1, 2, 0, 0, -18.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1, 2, 0, 0, 0, -35.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1, 2, 2, 0, 2, 9.0, 0.0, 0.0, -4.0, 0.0, 0.0},
+ {-1, 0, 4,-2, 1, -19.0, 0.0, 0.0, 10.0, 0.0, 0.0},
+
+ /* 371-380 */
+ { 3, 0, 2,-4, 2, -26.0, 0.0, 0.0, 11.0, 0.0, 0.0},
+ { 1, 2, 2,-2, 1, 8.0, 0.0, 0.0, -4.0, 0.0, 0.0},
+ { 1, 0, 4,-4, 2, -10.0, 0.0, 0.0, 4.0, 0.0, 0.0},
+ {-2,-1, 0, 4, 1, 10.0, 0.0, 0.0, -6.0, 0.0, 0.0},
+ { 0,-1, 0, 2, 2, -21.0, 0.0, 0.0, 9.0, 0.0, 0.0},
+ {-2, 1, 0, 4, 0, -15.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-2,-1, 2, 2, 1, 9.0, 0.0, 0.0, -5.0, 0.0, 0.0},
+ { 2, 0,-2, 2, 0, -29.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1, 0, 0, 1, 1, -19.0, 0.0, 0.0, 10.0, 0.0, 0.0},
+ { 0, 1, 0, 2, 2, 12.0, 0.0, 0.0, -5.0, 0.0, 0.0},
+
+ /* 381-390 */
+ { 1,-1, 2,-1, 2, 22.0, 0.0, 0.0, -9.0, 0.0, 0.0},
+ {-2, 0, 4, 0, 1, -10.0, 0.0, 0.0, 5.0, 0.0, 0.0},
+ { 2, 1, 0, 0, 1, -20.0, 0.0, 0.0, 11.0, 0.0, 0.0},
+ { 0, 1, 2, 0, 0, -20.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0,-1, 4,-2, 2, -17.0, 0.0, 0.0, 7.0, 0.0, 0.0},
+ { 0, 0, 4,-2, 4, 15.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ { 0, 2, 2, 0, 1, 8.0, 0.0, 0.0, -4.0, 0.0, 0.0},
+ {-3, 0, 0, 6, 0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1,-1, 0, 4, 1, -12.0, 0.0, 0.0, 6.0, 0.0, 0.0},
+ { 1,-2, 0, 2, 0, 25.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+
+ /* 391-400 */
+ {-1, 0, 0, 4, 2, -13.0, 0.0, 0.0, 6.0, 0.0, 0.0},
+ {-1,-2, 2, 2, 1, -14.0, 0.0, 0.0, 8.0, 0.0, 0.0},
+ {-1, 0, 0,-2, 2, 13.0, 0.0, 0.0, -5.0, 0.0, 0.0},
+ { 1, 0,-2,-2, 1, -17.0, 0.0, 0.0, 9.0, 0.0, 0.0},
+ { 0, 0,-2,-2, 1, -12.0, 0.0, 0.0, 6.0, 0.0, 0.0},
+ {-2, 0,-2, 0, 1, -10.0, 0.0, 0.0, 5.0, 0.0, 0.0},
+ { 0, 0, 0, 3, 1, 10.0, 0.0, 0.0, -6.0, 0.0, 0.0},
+ { 0, 0, 0, 3, 0, -15.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1, 1, 0, 4, 0, -22.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1,-1, 2, 2, 0, 28.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+
+ /* 401-410 */
+ {-2, 0, 2, 3, 2, 15.0, 0.0, 0.0, -7.0, 0.0, 0.0},
+ { 1, 0, 0, 2, 2, 23.0, 0.0, 0.0, -10.0, 0.0, 0.0},
+ { 0,-1, 2, 1, 2, 12.0, 0.0, 0.0, -5.0, 0.0, 0.0},
+ { 3,-1, 0, 0, 0, 29.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ { 2, 0, 0, 1, 0, -25.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ { 1,-1, 2, 0, 0, 22.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0, 0, 2, 1, 0, -18.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1, 0, 2, 0, 3, 15.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ { 3, 1, 0, 0, 0, -23.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 3,-1, 2,-2, 2, 12.0, 0.0, 0.0, -5.0, 0.0, 0.0},
+
+ /* 411-420 */
+ { 2, 0, 2,-1, 1, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0},
+ { 1, 1, 2, 0, 0, -19.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0, 0, 4,-1, 2, -10.0, 0.0, 0.0, 4.0, 0.0, 0.0},
+ { 1, 2, 2, 0, 2, 21.0, 0.0, 0.0, -9.0, 0.0, 0.0},
+ {-2, 0, 0, 6, 0, 23.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ { 0,-1, 0, 4, 1, -16.0, 0.0, 0.0, 8.0, 0.0, 0.0},
+ {-2,-1, 2, 4, 1, -19.0, 0.0, 0.0, 9.0, 0.0, 0.0},
+ { 0,-2, 2, 2, 1, -22.0, 0.0, 0.0, 10.0, 0.0, 0.0},
+ { 0,-1, 2, 2, 0, 27.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ {-1, 0, 2, 3, 1, 16.0, 0.0, 0.0, -8.0, 0.0, 0.0},
+
+ /* 421-430 */
+ {-2, 1, 2, 4, 2, 19.0, 0.0, 0.0, -8.0, 0.0, 0.0},
+ { 2, 0, 0, 2, 2, 9.0, 0.0, 0.0, -4.0, 0.0, 0.0},
+ { 2,-2, 2, 0, 2, -9.0, 0.0, 0.0, 4.0, 0.0, 0.0},
+ {-1, 1, 2, 3, 2, -9.0, 0.0, 0.0, 4.0, 0.0, 0.0},
+ { 3, 0, 2,-1, 2, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0},
+ { 4, 0, 2,-2, 1, 18.0, 0.0, 0.0, -9.0, 0.0, 0.0},
+ {-1, 0, 0, 6, 0, 16.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ {-1,-2, 2, 4, 2, -10.0, 0.0, 0.0, 4.0, 0.0, 0.0},
+ {-3, 0, 2, 6, 2, -23.0, 0.0, 0.0, 9.0, 0.0, 0.0},
+ {-1, 0, 2, 4, 0, 16.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+
+ /* 431-440 */
+ { 3, 0, 0, 2, 1, -12.0, 0.0, 0.0, 6.0, 0.0, 0.0},
+ { 3,-1, 2, 0, 1, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0},
+ { 3, 0, 2, 0, 0, 30.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 1, 0, 4, 0, 2, 24.0, 0.0, 0.0, -10.0, 0.0, 0.0},
+ { 5, 0, 2,-2, 2, 10.0, 0.0, 0.0, -4.0, 0.0, 0.0},
+ { 0,-1, 2, 4, 1, -16.0, 0.0, 0.0, 7.0, 0.0, 0.0},
+ { 2,-1, 2, 2, 1, -16.0, 0.0, 0.0, 7.0, 0.0, 0.0},
+ { 0, 1, 2, 4, 2, 17.0, 0.0, 0.0, -7.0, 0.0, 0.0},
+ { 1,-1, 2, 4, 2, -24.0, 0.0, 0.0, 10.0, 0.0, 0.0},
+ { 3,-1, 2, 2, 2, -12.0, 0.0, 0.0, 5.0, 0.0, 0.0},
+
+ /* 441-450 */
+ { 3, 0, 2, 2, 1, -24.0, 0.0, 0.0, 11.0, 0.0, 0.0},
+ { 5, 0, 2, 0, 2, -23.0, 0.0, 0.0, 9.0, 0.0, 0.0},
+ { 0, 0, 2, 6, 2, -13.0, 0.0, 0.0, 5.0, 0.0, 0.0},
+ { 4, 0, 2, 2, 2, -15.0, 0.0, 0.0, 7.0, 0.0, 0.0},
+ { 0,-1, 1,-1, 1, 0.0, 0.0,-1988.0, 0.0, 0.0,-1679.0},
+ {-1, 0, 1, 0, 3, 0.0, 0.0, -63.0, 0.0, 0.0, -27.0},
+ { 0,-2, 2,-2, 3, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1, 0,-1, 0, 1, 0.0, 0.0, 5.0, 0.0, 0.0, 4.0},
+ { 2,-2, 0,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ {-1, 0, 1, 0, 2, 0.0, 0.0, 364.0, 0.0, 0.0, 176.0},
+
+ /* 451-460 */
+ {-1, 0, 1, 0, 1, 0.0, 0.0,-1044.0, 0.0, 0.0, -891.0},
+ {-1,-1, 2,-1, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ {-2, 2, 0, 2, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ {-1, 0, 1, 0, 0, 0.0, 0.0, 330.0, 0.0, 0.0, 0.0},
+ {-4, 1, 2, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ {-3, 0, 2, 1, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ {-2,-1, 2, 0, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ { 1, 0,-2, 1, 1, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 2,-1,-2, 0, 1, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ {-4, 0, 2, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+
+ /* 461-470 */
+ {-3, 1, 0, 3, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1, 0,-1, 2, 0, 0.0, 0.0, 5.0, 0.0, 0.0, 0.0},
+ { 0,-2, 0, 0, 2, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ { 0,-2, 0, 0, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ {-3, 0, 0, 3, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-2,-1, 0, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ {-1, 0,-2, 3, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-4, 0, 0, 4, 0, -12.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 2, 1,-2, 0, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ { 2,-1, 0,-2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+
+ /* 471-480 */
+ { 0, 0, 1,-1, 0, -5.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1, 2, 0, 1, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-2, 1, 2, 0, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ { 1, 1, 0,-1, 1, 7.0, 0.0, 0.0, -4.0, 0.0, 0.0},
+ { 1, 0, 1,-2, 1, 0.0, 0.0, -12.0, 0.0, 0.0, -10.0},
+ { 0, 2, 0, 0, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 1,-1, 2,-3, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ {-1, 1, 2,-1, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-2, 0, 4,-2, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ {-2, 0, 4,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+
+ /* 481-490 */
+ {-2,-2, 0, 2, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ {-2, 0,-2, 4, 0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1, 2, 2,-4, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ { 1, 1, 2,-4, 2, 7.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ {-1, 2, 2,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 2, 0, 0,-3, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ {-1, 2, 0, 0, 1, -5.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ { 0, 0, 0,-2, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1,-1, 2,-2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-1, 1, 0, 0, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+
+ /* 491-500 */
+ { 0, 0, 0,-1, 2, -8.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ {-2, 1, 0, 1, 0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1,-2, 0,-2, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ { 1, 0,-2, 0, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-3, 1, 0, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1, 1,-2, 2, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1,-1, 0, 0, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ {-3, 0, 0, 2, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-3,-1, 0, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 2, 0, 2,-6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+
+ /* 501-510 */
+ { 0, 1, 2,-4, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 2, 0, 0,-4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ {-2, 1, 2,-2, 1, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 0,-1, 2,-4, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 0, 1, 0,-2, 2, 9.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ {-1, 0, 0,-2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 2, 0,-2,-2, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ {-4, 0, 2, 0, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-1,-1, 0,-1, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 0, 0,-2, 0, 2, 9.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+
+ /* 511-520 */
+ {-3, 0, 0, 1, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1, 0,-2, 1, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-2, 0,-2, 2, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 0, 0,-4, 2, 0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-2,-1,-2, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1, 0, 2,-6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-1, 0, 2,-4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ { 1, 0, 0,-4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ { 2, 1, 2,-4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ { 2, 1, 2,-4, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+
+ /* 521-530 */
+ { 0, 1, 4,-4, 4, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0, 1, 4,-4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ {-1,-1,-2, 4, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1,-3, 0, 2, 0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1, 0,-2, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-2,-1, 0, 3, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0, 0,-2, 3, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-2, 0, 0, 3, 1, -5.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ { 0,-1, 0, 1, 0, -13.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-3, 0, 2, 2, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+
+ /* 531-540 */
+ { 1, 1,-2, 2, 0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1, 1, 0, 2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ { 1,-2, 2,-2, 1, 10.0, 0.0, 13.0, 6.0, 0.0, -5.0},
+ { 0, 0, 1, 0, 2, 0.0, 0.0, 30.0, 0.0, 0.0, 14.0},
+ { 0, 0, 1, 0, 1, 0.0, 0.0, -162.0, 0.0, 0.0, -138.0},
+ { 0, 0, 1, 0, 0, 0.0, 0.0, 75.0, 0.0, 0.0, 0.0},
+ {-1, 2, 0, 2, 1, -7.0, 0.0, 0.0, 4.0, 0.0, 0.0},
+ { 0, 0, 2, 0, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-2, 0, 2, 0, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 2, 0, 0,-1, 1, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+
+ /* 541-550 */
+ { 3, 0, 0,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ { 1, 0, 2,-2, 3, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1, 2, 0, 0, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 2, 0, 2,-3, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-1, 1, 4,-2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-2,-2, 0, 4, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0,-3, 0, 2, 0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0, 0,-2, 4, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1,-1, 0, 3, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-2, 0, 0, 4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+
+ /* 551-560 */
+ {-1, 0, 0, 3, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 2,-2, 0, 0, 0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1,-1, 0, 1, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1, 0, 0, 2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0,-2, 2, 0, 1, -6.0, 0.0, -3.0, 3.0, 0.0, 1.0},
+ {-1, 0, 1, 2, 1, 0.0, 0.0, -3.0, 0.0, 0.0, -2.0},
+ {-1, 1, 0, 3, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1,-1, 2, 1, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ { 0,-1, 2, 0, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-2, 1, 2, 2, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+
+ /* 561-570 */
+ { 2,-2, 2,-2, 2, -1.0, 0.0, 3.0, 3.0, 0.0, -1.0},
+ { 1, 1, 0, 1, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 1, 0, 1, 0, 1, 0.0, 0.0, -13.0, 0.0, 0.0, -11.0},
+ { 1, 0, 1, 0, 0, 3.0, 0.0, 6.0, 0.0, 0.0, 0.0},
+ { 0, 2, 0, 2, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 2,-1, 2,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ { 0,-1, 4,-2, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ { 0, 0, 4,-2, 3, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0, 1, 4,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ { 4, 0, 2,-4, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+
+ /* 571-580 */
+ { 2, 2, 2,-2, 2, 8.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ { 2, 0, 4,-4, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-1,-2, 0, 4, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1,-3, 2, 2, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ {-3, 0, 2, 4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ {-3, 0, 2,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-1,-1, 0,-2, 1, 8.0, 0.0, 0.0, -4.0, 0.0, 0.0},
+ {-3, 0, 0, 0, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ {-3, 0,-2, 2, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0, 1, 0,-4, 1, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+
+ /* 581-590 */
+ {-2, 1, 0,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-4, 0, 0, 0, 1, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0},
+ {-1, 0, 0,-4, 1, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ {-3, 0, 0,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 0, 0, 0, 3, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ {-1, 1, 0, 4, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ { 1,-2, 2, 0, 1, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ { 0, 1, 0, 3, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-1, 0, 2, 2, 3, 6.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ { 0, 0, 2, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+
+ /* 591-600 */
+ {-2, 0, 2, 2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-1, 1, 2, 2, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 3, 0, 0, 0, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 2, 1, 0, 1, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 2,-1, 2,-1, 2, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ { 0, 0, 2, 0, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 0, 0, 3, 0, 3, 0.0, 0.0, -26.0, 0.0, 0.0, -11.0},
+ { 0, 0, 3, 0, 2, 0.0, 0.0, -10.0, 0.0, 0.0, -5.0},
+ {-1, 2, 2, 2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ {-1, 0, 4, 0, 0, -13.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+
+ /* 601-610 */
+ { 1, 2, 2, 0, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 3, 1, 2,-2, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 1, 1, 4,-2, 2, 7.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ {-2,-1, 0, 6, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0,-2, 0, 4, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-2, 0, 0, 6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-2,-2, 2, 4, 2, -6.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 0,-3, 2, 2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 0, 0, 0, 4, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ {-1,-1, 2, 3, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+
+ /* 611-620 */
+ {-2, 0, 2, 4, 0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 2,-1, 0, 2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 1, 0, 0, 3, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0, 1, 0, 4, 1, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 0, 1, 0, 4, 0, -11.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1,-1, 2, 1, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 0, 0, 2, 2, 3, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1, 0, 2, 2, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ {-1, 0, 2, 2, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-2, 0, 4, 2, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+
+ /* 621-630 */
+ { 2, 1, 0, 2, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 2, 1, 0, 2, 0, -12.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 2,-1, 2, 0, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1, 0, 2, 1, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0, 1, 2, 2, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 2, 0, 2, 0, 3, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 3, 0, 2, 0, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ { 1, 0, 2, 0, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ { 1, 0, 3, 0, 3, 0.0, 0.0, -5.0, 0.0, 0.0, -2.0},
+ { 1, 1, 2, 1, 1, -7.0, 0.0, 0.0, 4.0, 0.0, 0.0},
+
+ /* 631-640 */
+ { 0, 2, 2, 2, 2, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ { 2, 1, 2, 0, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 2, 0, 4,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ { 4, 1, 2,-2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ {-1,-1, 0, 6, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ {-3,-1, 2, 6, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ {-1, 0, 0, 6, 1, -5.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ {-3, 0, 2, 6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 1,-1, 0, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 1,-1, 0, 4, 0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+
+ /* 641-650 */
+ {-2, 0, 2, 5, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ { 1,-2, 2, 2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 3,-1, 0, 2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1,-1, 2, 2, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0, 0, 2, 3, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ {-1, 1, 2, 4, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 0, 1, 2, 3, 2, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ {-1, 0, 4, 2, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 2, 0, 2, 1, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ { 5, 0, 0, 0, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+
+ /* 651-660 */
+ { 2, 1, 2, 1, 2, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ { 1, 0, 4, 0, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 3, 1, 2, 0, 1, 7.0, 0.0, 0.0, -4.0, 0.0, 0.0},
+ { 3, 0, 4,-2, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ {-2,-1, 2, 6, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 0, 0, 0, 6, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0,-2, 2, 4, 2, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ {-2, 0, 2, 6, 1, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0},
+ { 2, 0, 0, 4, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 2, 0, 0, 4, 0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+
+ /* 661-670 */
+ { 2,-2, 2, 2, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 0, 0, 2, 4, 0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 1, 0, 2, 3, 2, 7.0, 0.0, 0.0, -3.0, 0.0, 0.0},
+ { 4, 0, 0, 2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 2, 0, 2, 2, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0},
+ { 0, 0, 4, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 4,-1, 2, 0, 2, -6.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 3, 0, 2, 1, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 2, 1, 2, 2, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 4, 1, 2, 0, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+
+ /* 671-678 */
+ {-1,-1, 2, 6, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ {-1, 0, 2, 6, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 1,-1, 2, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
+ { 1, 1, 2, 4, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
+ { 3, 1, 2, 2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
+ { 5, 0, 2, 0, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ { 2,-1, 2, 4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
+ { 2, 0, 2, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0}
+ };
+
+/* Number of terms in the luni-solar nutation model */
+ const int NLS = (int) (sizeof xls / sizeof xls[0]);
+
+/* ------------------------ */
+/* Planetary nutation model */
+/* ------------------------ */
+
+/* The units for the sine and cosine coefficients are */
+/* 0.1 microarcsecond */
+
+ static const struct {
+ int nl, /* coefficients of l, F, D and Omega */
+ nf,
+ nd,
+ nom,
+ nme, /* coefficients of planetary longitudes */
+ nve,
+ nea,
+ nma,
+ nju,
+ nsa,
+ nur,
+ nne,
+ npa; /* coefficient of general precession */
+ int sp,cp; /* longitude sin, cos coefficients */
+ int se,ce; /* obliquity sin, cos coefficients */
+ } xpl[] = {
+
+ /* 1-10 */
+ { 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 0, 1440, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, -8, 16,-4,-5, 0, 0, 2, 56,-117, -42, -40},
+ { 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 2, 125, -43, 0, -54},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-1, 2, 2, 0, 5, 0, 0},
+ { 0, 0, 0, 0, 0, 0, -4, 8,-1,-5, 0, 0, 2, 3, -7, -3, 0},
+ { 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 1, 3, 0, 0, -2},
+ { 0, 1,-1, 1, 0, 0, 3, -8, 3, 0, 0, 0, 0, -114, 0, 0, 61},
+ {-1, 0, 0, 0, 0, 10, -3, 0, 0, 0, 0, 0, 0, -219, 89, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 0, 0,-2, 6,-3, 0, 2, -3, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, -462,1604, 0, 0},
+
+ /* 11-20 */
+ { 0, 1,-1, 1, 0, 0, -5, 8,-3, 0, 0, 0, 0, 99, 0, 0, -53},
+ { 0, 0, 0, 0, 0, 0, -4, 8,-3, 0, 0, 0, 1, -3, 0, 0, 2},
+ { 0, 0, 0, 0, 0, 0, 4, -8, 1, 5, 0, 0, 2, 0, 6, 2, 0},
+ { 0, 0, 0, 0, 0, -5, 6, 4, 0, 0, 0, 0, 2, 3, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 2,-5, 0, 0, 2, -12, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 2,-5, 0, 0, 1, 14,-218, 117, 8},
+ { 0, 1,-1, 1, 0, 0, -1, 0, 2,-5, 0, 0, 0, 31,-481, -257, -17},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 2,-5, 0, 0, 0, -491, 128, 0, 0},
+ { 0, 1,-1, 1, 0, 0, -1, 0,-2, 5, 0, 0, 0,-3084,5123, 2735,1647},
+ { 0, 0, 0, 0, 0, 0, 0, 0,-2, 5, 0, 0, 1,-1444,2409,-1286,-771},
+
+ /* 21-30 */
+ { 0, 0, 0, 0, 0, 0, 0, 0,-2, 5, 0, 0, 2, 11, -24, -11, -9},
+ { 2,-1,-1, 0, 0, 0, 3, -7, 0, 0, 0, 0, 0, 26, -9, 0, 0},
+ { 1, 0,-2, 0, 0, 19,-21, 3, 0, 0, 0, 0, 0, 103, -60, 0, 0},
+ { 0, 1,-1, 1, 0, 2, -4, 0,-3, 0, 0, 0, 0, 0, -13, -7, 0},
+ { 1, 0,-1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0, -26, -29, -16, 14},
+ { 0, 1,-1, 1, 0, 0, -1, 0,-4,10, 0, 0, 0, 9, -27, -14, -5},
+ {-2, 0, 2, 1, 0, 0, 2, 0, 0,-5, 0, 0, 0, 12, 0, 0, -6},
+ { 0, 0, 0, 0, 0, 3, -7, 4, 0, 0, 0, 0, 0, -7, 0, 0, 0},
+ { 0,-1, 1, 0, 0, 0, 1, 0, 1,-1, 0, 0, 0, 0, 24, 0, 0},
+ {-2, 0, 2, 1, 0, 0, 2, 0,-2, 0, 0, 0, 0, 284, 0, 0,-151},
+
+ /* 31-40 */
+ {-1, 0, 0, 0, 0, 18,-16, 0, 0, 0, 0, 0, 0, 226, 101, 0, 0},
+ {-2, 1, 1, 2, 0, 0, 1, 0,-2, 0, 0, 0, 0, 0, -8, -2, 0},
+ {-1, 1,-1, 1, 0, 18,-17, 0, 0, 0, 0, 0, 0, 0, -6, -3, 0},
+ {-1, 0, 1, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 5, 0, 0, -3},
+ { 0, 0, 0, 0, 0, -8, 13, 0, 0, 0, 0, 0, 2, -41, 175, 76, 17},
+ { 0, 2,-2, 2, 0, -8, 11, 0, 0, 0, 0, 0, 0, 0, 15, 6, 0},
+ { 0, 0, 0, 0, 0, -8, 13, 0, 0, 0, 0, 0, 1, 425, 212, -133, 269},
+ { 0, 1,-1, 1, 0, -8, 12, 0, 0, 0, 0, 0, 0, 1200, 598, 319,-641},
+ { 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 0, 235, 334, 0, 0},
+ { 0, 1,-1, 1, 0, 8,-14, 0, 0, 0, 0, 0, 0, 11, -12, -7, -6},
+
+ /* 41-50 */
+ { 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 1, 5, -6, 3, 3},
+ {-2, 0, 2, 1, 0, 0, 2, 0,-4, 5, 0, 0, 0, -5, 0, 0, 3},
+ {-2, 0, 2, 2, 0, 3, -3, 0, 0, 0, 0, 0, 0, 6, 0, 0, -3},
+ {-2, 0, 2, 0, 0, 0, 2, 0,-3, 1, 0, 0, 0, 15, 0, 0, 0},
+ { 0, 0, 0, 1, 0, 3, -5, 0, 2, 0, 0, 0, 0, 13, 0, 0, -7},
+ {-2, 0, 2, 0, 0, 0, 2, 0,-4, 3, 0, 0, 0, -6, -9, 0, 0},
+ { 0,-1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 266, -78, 0, 0},
+ { 0, 0, 0, 1, 0, 0, -1, 2, 0, 0, 0, 0, 0, -460,-435, -232, 246},
+ { 0, 1,-1, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 15, 7, 0},
+ {-1, 1, 0, 1, 0, 3, -5, 0, 0, 0, 0, 0, 0, -3, 0, 0, 2},
+
+ /* 51-60 */
+ {-1, 0, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, 131, 0, 0},
+ {-2, 0, 2, 0, 0, 0, 2, 0,-2,-2, 0, 0, 0, 4, 0, 0, 0},
+ {-2, 2, 0, 2, 0, 0, -5, 9, 0, 0, 0, 0, 0, 0, 3, 0, 0},
+ { 0, 1,-1, 1, 0, 0, -1, 0, 0, 0,-1, 0, 0, 0, 4, 2, 0},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0},
+ { 0, 1,-1, 1, 0, 0, -1, 0, 0, 0, 0, 2, 0, -17, -19, -10, 9},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -9, -11, 6, -5},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -6, 0, 0, 3},
+ {-1, 0, 1, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, -16, 8, 0, 0},
+ { 0,-1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0},
+
+ /* 61-70 */
+ { 0, 1,-1, 2, 0, 0, -1, 0, 0, 2, 0, 0, 0, 11, 24, 11, -5},
+ { 0, 0, 0, 1, 0, 0, -9, 17, 0, 0, 0, 0, 0, -3, -4, -2, 1},
+ { 0, 0, 0, 2, 0, -3, 5, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1},
+ { 0, 1,-1, 1, 0, 0, -1, 0,-1, 2, 0, 0, 0, 0, -8, -4, 0},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 1,-2, 0, 0, 0, 0, 3, 0, 0},
+ { 1, 0,-2, 0, 0, 17,-16, 0,-2, 0, 0, 0, 0, 0, 5, 0, 0},
+ { 0, 1,-1, 1, 0, 0, -1, 0, 1,-3, 0, 0, 0, 0, 3, 2, 0},
+ {-2, 0, 2, 1, 0, 0, 5, -6, 0, 0, 0, 0, 0, -6, 4, 2, 3},
+ { 0,-2, 2, 0, 0, 0, 9,-13, 0, 0, 0, 0, 0, -3, -5, 0, 0},
+ { 0, 1,-1, 2, 0, 0, -1, 0, 0, 1, 0, 0, 0, -5, 0, 0, 2},
+
+ /* 71-80 */
+ { 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 24, 13, -2},
+ { 0,-1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, -42, 20, 0, 0},
+ { 0,-2, 2, 0, 0, 5, -6, 0, 0, 0, 0, 0, 0, -10, 233, 0, 0},
+ { 0,-1, 1, 1, 0, 5, -7, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1},
+ {-2, 0, 2, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0, 78, -18, 0, 0},
+ { 2, 1,-3, 1, 0, -6, 7, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0},
+ { 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -3, -1, 0},
+ { 0,-1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, -4, -2, 1},
+ { 0, 1,-1, 1, 0, 0, -1, 0, 0, 0, 2, 0, 0, 0, -8, -4, -1},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, -5, 3, 0},
+
+ /* 81-90 */
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -7, 0, 0, 3},
+ { 0, 0, 0, 0, 0, 0, -8, 15, 0, 0, 0, 0, 2, -14, 8, 3, 6},
+ { 0, 0, 0, 0, 0, 0, -8, 15, 0, 0, 0, 0, 1, 0, 8, -4, 0},
+ { 0, 1,-1, 1, 0, 0, -9, 15, 0, 0, 0, 0, 0, 0, 19, 10, 0},
+ { 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0, 45, -22, 0, 0},
+ { 1,-1,-1, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0, -3, 0, 0, 0},
+ { 2, 0,-2, 0, 0, 2, -5, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0},
+ {-2, 0, 2, 0, 0, 0, 2, 0,-5, 5, 0, 0, 0, 0, 3, 0, 0},
+ { 2, 0,-2, 1, 0, 0, -6, 8, 0, 0, 0, 0, 0, 3, 5, 3, -2},
+ { 2, 0,-2, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0, 89, -16, -9, -48},
+
+ /* 91-100 */
+ {-2, 1, 1, 0, 0, 0, 1, 0,-3, 0, 0, 0, 0, 0, 3, 0, 0},
+ {-2, 1, 1, 1, 0, 0, 1, 0,-3, 0, 0, 0, 0, -3, 7, 4, 2},
+ {-2, 0, 2, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, -349, -62, 0, 0},
+ {-2, 0, 2, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, -15, 22, 0, 0},
+ {-2, 0, 2, 0, 0, 0, 2, 0,-1,-5, 0, 0, 0, -3, 0, 0, 0},
+ {-1, 0, 1, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, -53, 0, 0, 0},
+ {-1, 1, 1, 1, 0,-20, 20, 0, 0, 0, 0, 0, 0, 5, 0, 0, -3},
+ { 1, 0,-2, 0, 0, 20,-21, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0},
+ { 0, 0, 0, 1, 0, 0, 8,-15, 0, 0, 0, 0, 0, 15, -7, -4, -8},
+ { 0, 2,-2, 1, 0, 0,-10, 15, 0, 0, 0, 0, 0, -3, 0, 0, 1},
+
+ /* 101-110 */
+ { 0,-1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, -21, -78, 0, 0},
+ { 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 20, -70, -37, -11},
+ { 0, 1,-1, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 6, 3, 0},
+ { 0, 1,-1, 1, 0, 0, -1, 0,-2, 4, 0, 0, 0, 5, 3, 2, -2},
+ { 2, 0,-2, 1, 0, -6, 8, 0, 0, 0, 0, 0, 0, -17, -4, -2, 9},
+ { 0,-2, 2, 1, 0, 5, -6, 0, 0, 0, 0, 0, 0, 0, 6, 3, 0},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0,-1, 0, 0, 1, 32, 15, -8, 17},
+ { 0, 1,-1, 1, 0, 0, -1, 0, 0,-1, 0, 0, 0, 174, 84, 45, -93},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 11, 56, 0, 0},
+ { 0, 1,-1, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, -66, -12, -6, 35},
+
+ /* 111-120 */
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 47, 8, 4, -25},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 8, 4, 0},
+ { 0, 2,-2, 1, 0, 0, -9, 13, 0, 0, 0, 0, 0, 10, -22, -12, -5},
+ { 0, 0, 0, 1, 0, 0, 7,-13, 0, 0, 0, 0, 0, -3, 0, 0, 2},
+ {-2, 0, 2, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, -24, 12, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 9,-17, 0, 0, 0, 0, 0, 5, -6, 0, 0},
+ { 0, 0, 0, 0, 0, 0, -9, 17, 0, 0, 0, 0, 2, 3, 0, 0, -2},
+ { 1, 0,-1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 4, 3, 1, -2},
+ { 1, 0,-1, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0, 0, 29, 15, 0},
+ { 0, 0, 0, 2, 0, 0, -1, 2, 0, 0, 0, 0, 0, -5, -4, -2, 2},
+
+ /* 121-130 */
+ { 0,-1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8, -3, -1, -5},
+ { 0,-2, 2, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0},
+ { 0, 0, 0, 0, 0, 3, -5, 0, 2, 0, 0, 0, 0, 10, 0, 0, 0},
+ {-2, 0, 2, 1, 0, 0, 2, 0,-3, 1, 0, 0, 0, 3, 0, 0, -2},
+ {-2, 0, 2, 1, 0, 3, -3, 0, 0, 0, 0, 0, 0, -5, 0, 0, 3},
+ { 0, 0, 0, 1, 0, 8,-13, 0, 0, 0, 0, 0, 0, 46, 66, 35, -25},
+ { 0,-1, 1, 0, 0, 8,-12, 0, 0, 0, 0, 0, 0, -14, 7, 0, 0},
+ { 0, 2,-2, 1, 0, -8, 11, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0},
+ {-1, 0, 1, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -5, 0, 0, 0},
+ {-1, 0, 0, 1, 0, 18,-16, 0, 0, 0, 0, 0, 0, -68, -34, -18, 36},
+
+ /* 131-140 */
+ { 0, 1,-1, 1, 0, 0, -1, 0,-1, 1, 0, 0, 0, 0, 14, 7, 0},
+ { 0, 0, 0, 1, 0, 3, -7, 4, 0, 0, 0, 0, 0, 10, -6, -3, -5},
+ {-2, 1, 1, 1, 0, 0, -3, 7, 0, 0, 0, 0, 0, -5, -4, -2, 3},
+ { 0, 1,-1, 2, 0, 0, -1, 0,-2, 5, 0, 0, 0, -3, 5, 2, 1},
+ { 0, 0, 0, 1, 0, 0, 0, 0,-2, 5, 0, 0, 0, 76, 17, 9, -41},
+ { 0, 0, 0, 1, 0, 0, -4, 8,-3, 0, 0, 0, 0, 84, 298, 159, -45},
+ { 1, 0, 0, 1, 0,-10, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1},
+ { 0, 2,-2, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0, -3, 0, 0, 2},
+ {-1, 0, 0, 1, 0, 10, -3, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1},
+ { 0, 0, 0, 1, 0, 0, 4, -8, 3, 0, 0, 0, 0, -82, 292, 156, 44},
+
+ /* 141-150 */
+ { 0, 0, 0, 1, 0, 0, 0, 0, 2,-5, 0, 0, 0, -73, 17, 9, 39},
+ { 0,-1, 1, 0, 0, 0, 1, 0, 2,-5, 0, 0, 0, -9, -16, 0, 0},
+ { 2,-1,-1, 1, 0, 0, 3, -7, 0, 0, 0, 0, 0, 3, 0, -1, -2},
+ {-2, 0, 2, 0, 0, 0, 2, 0, 0,-5, 0, 0, 0, -3, 0, 0, 0},
+ { 0, 0, 0, 1, 0, -3, 7, -4, 0, 0, 0, 0, 0, -9, -5, -3, 5},
+ {-2, 0, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -439, 0, 0, 0},
+ { 1, 0, 0, 1, 0,-18, 16, 0, 0, 0, 0, 0, 0, 57, -28, -15, -30},
+ {-2, 1, 1, 1, 0, 0, 1, 0,-2, 0, 0, 0, 0, 0, -6, -3, 0},
+ { 0, 1,-1, 2, 0, -8, 12, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2},
+ { 0, 0, 0, 1, 0, -8, 13, 0, 0, 0, 0, 0, 0, -40, 57, 30, 21},
+
+ /* 151-160 */
+ { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 1, 23, 7, 3, -13},
+ { 0, 1,-1, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 273, 80, 43,-146},
+ { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -449, 430, 0, 0},
+ { 0, 1,-1, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0, -8, -47, -25, 4},
+ { 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 1, 6, 47, 25, -3},
+ {-1, 0, 1, 1, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, 23, 13, 0},
+ {-1, 0, 1, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, -3, 0, 0, 2},
+ { 0, 1,-1, 1, 0, 0, -1, 0, 0,-2, 0, 0, 0, 3, -4, -2, -2},
+ { 0, 1,-1, 1, 0, 0, -1, 0, 0, 2, 0, 0, 0, -48,-110, -59, 26},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 51, 114, 61, -27},
+
+ /* 161-170 */
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, -133, 0, 0, 57},
+ { 0, 1,-1, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0},
+ { 0, 0, 0, 1, 0, -3, 5, 0, 0, 0, 0, 0, 0, -21, -6, -3, 11},
+ { 0, 1,-1, 2, 0, -3, 4, 0, 0, 0, 0, 0, 0, 0, -3, -1, 0},
+ { 0, 0, 0, 1, 0, 0, -2, 4, 0, 0, 0, 0, 0, -11, -21, -11, 6},
+ { 0, 2,-2, 1, 0, -5, 6, 0, 0, 0, 0, 0, 0, -18,-436, -233, 9},
+ { 0,-1, 1, 0, 0, 5, -7, 0, 0, 0, 0, 0, 0, 35, -7, 0, 0},
+ { 0, 0, 0, 1, 0, 5, -8, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0},
+ {-2, 0, 2, 1, 0, 6, -8, 0, 0, 0, 0, 0, 0, 11, -3, -1, -6},
+ { 0, 0, 0, 1, 0, 0, -8, 15, 0, 0, 0, 0, 0, -5, -3, -1, 3},
+
+ /* 171-180 */
+ {-2, 0, 2, 1, 0, 0, 2, 0,-3, 0, 0, 0, 0, -53, -9, -5, 28},
+ {-2, 0, 2, 1, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0, 3, 2, 1},
+ { 1, 0,-1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 4, 0, 0, -2},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 3,-5, 0, 0, 0, 0, -4, 0, 0},
+ { 0, 1,-1, 1, 0, 0, -1, 0,-1, 0, 0, 0, 0, -50, 194, 103, 27},
+ { 0, 0, 0, 0, 0, 0, 0, 0,-1, 0, 0, 0, 1, -13, 52, 28, 7},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -91, 248, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 6, 49, 26, -3},
+ { 0, 1,-1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, -6, -47, -25, 3},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 5, 3, 0},
+
+ /* 181-190 */
+ { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 52, 23, 10, -23},
+ { 0, 1,-1, 2, 0, 0, -1, 0, 0,-1, 0, 0, 0, -3, 0, 0, 1},
+ { 0, 0, 0, 1, 0, 0, 0, 0, 0,-1, 0, 0, 0, 0, 5, 3, 0},
+ { 0,-1, 1, 0, 0, 0, 1, 0, 0,-1, 0, 0, 0, -4, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, -7, 13, 0, 0, 0, 0, 2, -4, 8, 3, 2},
+ { 0, 0, 0, 0, 0, 0, 7,-13, 0, 0, 0, 0, 0, 10, 0, 0, 0},
+ { 2, 0,-2, 1, 0, 0, -5, 6, 0, 0, 0, 0, 0, 3, 0, 0, -2},
+ { 0, 2,-2, 1, 0, 0, -8, 11, 0, 0, 0, 0, 0, 0, 8, 4, 0},
+ { 0, 2,-2, 1,-1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 8, 4, 1},
+ {-2, 0, 2, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0},
+
+ /* 191-200 */
+ { 0, 0, 0, 0, 0, 0, 0, 0, 2,-2, 0, 0, 0, -4, 0, 0, 0},
+ { 0, 1,-1, 1, 0, 0, -1, 0, 0, 3, 0, 0, 0, -8, 4, 2, 4},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 1, 8, -4, -2, -4},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 15, 7, 0},
+ {-2, 0, 2, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, -138, 0, 0, 0},
+ { 0, 0, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, -7, -3, 0},
+ { 0, 0, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -7, -3, 0},
+ { 2, 0,-2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 54, 0, 0, -29},
+ { 0, 1,-1, 2, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 10, 4, 0},
+ { 0, 1,-1, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -7, 0, 0, 3},
+
+ /* 201-210 */
+ { 0, 0, 0, 1, 0, 0, 1, -2, 0, 0, 0, 0, 0, -37, 35, 19, 20},
+ { 0,-1, 1, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 4, 0, 0},
+ { 0,-1, 1, 0, 0, 0, 1, 0, 0,-2, 0, 0, 0, -4, 9, 0, 0},
+ { 0, 2,-2, 1, 0, 0, -2, 0, 0, 2, 0, 0, 0, 8, 0, 0, -4},
+ { 0, 1,-1, 1, 0, 3, -6, 0, 0, 0, 0, 0, 0, -9, -14, -8, 5},
+ { 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 1, -3, -9, -5, 3},
+ { 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 0, -145, 47, 0, 0},
+ { 0, 1,-1, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0, -10, 40, 21, 5},
+ { 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 0, 1, 11, -49, -26, -7},
+ { 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 0, 2,-2150, 0, 0, 932},
+
+ /* 211-220 */
+ { 0, 2,-2, 2, 0, -3, 3, 0, 0, 0, 0, 0, 0, -12, 0, 0, 5},
+ { 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 0, 2, 85, 0, 0, -37},
+ { 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 1, 4, 0, 0, -2},
+ { 0, 1,-1, 1, 0, 0, 1, -4, 0, 0, 0, 0, 0, 3, 0, 0, -2},
+ { 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, -86, 153, 0, 0},
+ { 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 1, -6, 9, 5, 3},
+ { 0, 1,-1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 9, -13, -7, -5},
+ { 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 1, -8, 12, 6, 4},
+ { 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 2, -51, 0, 0, 22},
+ { 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 2, -11,-268, -116, 5},
+
+ /* 221-230 */
+ { 0, 2,-2, 2, 0, -5, 6, 0, 0, 0, 0, 0, 0, 0, 12, 5, 0},
+ { 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 2, 0, 7, 3, 0},
+ { 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 1, 31, 6, 3, -17},
+ { 0, 1,-1, 1, 0, -5, 7, 0, 0, 0, 0, 0, 0, 140, 27, 14, -75},
+ { 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 1, 57, 11, 6, -30},
+ { 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, 0, -14, -39, 0, 0},
+ { 0, 1,-1, 2, 0, 0, -1, 0,-1, 0, 0, 0, 0, 0, -6, -2, 0},
+ { 0, 0, 0, 1, 0, 0, 0, 0,-1, 0, 0, 0, 0, 4, 15, 8, -2},
+ { 0,-1, 1, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 0, 4, 0, 0},
+ { 0, 2,-2, 1, 0, 0, -2, 0, 1, 0, 0, 0, 0, -3, 0, 0, 1},
+
+ /* 231-240 */
+ { 0, 0, 0, 0, 0, 0, -6, 11, 0, 0, 0, 0, 2, 0, 11, 5, 0},
+ { 0, 0, 0, 0, 0, 0, 6,-11, 0, 0, 0, 0, 0, 9, 6, 0, 0},
+ { 0, 0, 0, 0,-1, 0, 4, 0, 0, 0, 0, 0, 2, -4, 10, 4, 2},
+ { 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, 0, 5, 3, 0, 0},
+ { 2, 0,-2, 1, 0, -3, 3, 0, 0, 0, 0, 0, 0, 16, 0, 0, -9},
+ {-2, 0, 2, 0, 0, 0, 2, 0, 0,-2, 0, 0, 0, -3, 0, 0, 0},
+ { 0, 2,-2, 1, 0, 0, -7, 9, 0, 0, 0, 0, 0, 0, 3, 2, -1},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 4,-5, 0, 0, 2, 7, 0, 0, -3},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -25, 22, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 42, 223, 119, -22},
+
+ /* 241-250 */
+ { 0, 1,-1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0, -27,-143, -77, 14},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 9, 49, 26, -5},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2,-1166, 0, 0, 505},
+ { 0, 2,-2, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0, -5, 0, 0, 2},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 2, -6, 0, 0, 3},
+ { 0, 0, 0, 1, 0, 3, -5, 0, 0, 0, 0, 0, 0, -8, 0, 1, 4},
+ { 0,-1, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0},
+ { 0, 2,-2, 1, 0, -3, 3, 0, 0, 0, 0, 0, 0, 117, 0, 0, -63},
+ { 0, 0, 0, 1, 0, 0, 2, -4, 0, 0, 0, 0, 0, -4, 8, 4, 2},
+ { 0, 2,-2, 1, 0, 0, -4, 4, 0, 0, 0, 0, 0, 3, 0, 0, -2},
+
+ /* 251-260 */
+ { 0, 1,-1, 2, 0, -5, 7, 0, 0, 0, 0, 0, 0, -5, 0, 0, 2},
+ { 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 31, 0, 0},
+ { 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 1, -5, 0, 1, 3},
+ { 0, 1,-1, 1, 0, 0, -4, 6, 0, 0, 0, 0, 0, 4, 0, 0, -2},
+ { 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 1, -4, 0, 0, 2},
+ { 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 2, -24, -13, -6, 10},
+ { 0,-1, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0},
+ { 0, 0, 0, 1, 0, 2, -3, 0, 0, 0, 0, 0, 0, 0, -32, -17, 0},
+ { 0, 0, 0, 0, 0, 0, -5, 9, 0, 0, 0, 0, 2, 8, 12, 5, -3},
+ { 0, 0, 0, 0, 0, 0, -5, 9, 0, 0, 0, 0, 1, 3, 0, 0, -1},
+
+ /* 261-270 */
+ { 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, 0, 7, 13, 0, 0},
+ { 0,-1, 1, 0, 0, 0, 1, 0,-2, 0, 0, 0, 0, -3, 16, 0, 0},
+ { 0, 2,-2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 50, 0, 0, -27},
+ {-2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -5, -3, 0},
+ { 0,-2, 2, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0},
+ { 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 0, 1, 0, 5, 3, 1},
+ { 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 0, 2, 24, 5, 2, -11},
+ { 0, 0, 0, 0, 0, -2, 3, 0, 0, 0, 0, 0, 2, 5, -11, -5, -2},
+ { 0, 0, 0, 0, 0, -2, 3, 0, 0, 0, 0, 0, 1, 30, -3, -2, -16},
+ { 0, 1,-1, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 18, 0, 0, -9},
+
+ /* 271-280 */
+ { 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0, 8, 614, 0, 0},
+ { 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 1, 3, -3, -1, -2},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 6, 17, 9, -3},
+ { 0, 1,-1, 1, 0, 0, -1, 0, 3, 0, 0, 0, 0, -3, -9, -5, 2},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 0, 6, 3, -1},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, -127, 21, 9, 55},
+ { 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, 0, 3, 5, 0, 0},
+ { 0, 0, 0, 0, 0, 0, -4, 8, 0, 0, 0, 0, 2, -6, -10, -4, 3},
+ { 0,-2, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 5, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 2, 16, 9, 4, -7},
+
+ /* 281-290 */
+ { 0, 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 1, 3, 0, 0, -2},
+ { 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0, 0, 22, 0, 0},
+ { 0, 0, 0, 1, 0, -2, 3, 0, 0, 0, 0, 0, 0, 0, 19, 10, 0},
+ { 0, 2,-2, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0, 7, 0, 0, -4},
+ { 0, 0, 0, 0, 0, 0, -5, 10, 0, 0, 0, 0, 2, 0, -5, -2, 0},
+ { 0, 0, 0, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0},
+ { 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, -9, 3, 1, 4},
+ { 0, 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 2, 17, 0, 0, -7},
+ { 0, 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 1, 0, -3, -2, -1},
+ { 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, -20, 34, 0, 0},
+
+ /* 291-300 */
+ { 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 1, -10, 0, 1, 5},
+ { 0, 1,-1, 1, 0, 1, -3, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2},
+ { 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 22, -87, 0, 0},
+ { 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, -4, 0, 0, 2},
+ { 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 2, -3, -6, -2, 1},
+ { 0, 0, 0, 0, 0, -7, 11, 0, 0, 0, 0, 0, 2, -16, -3, -1, 7},
+ { 0, 0, 0, 0, 0, -7, 11, 0, 0, 0, 0, 0, 1, 0, -3, -2, 0},
+ { 0,-2, 2, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, -68, 39, 0, 0},
+ { 0, 2,-2, 1, 0, -4, 4, 0, 0, 0, 0, 0, 0, 27, 0, 0, -14},
+
+ /* 301-310 */
+ { 0,-1, 1, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -25, 0, 0, 0},
+ { 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 0, 1, -12, -3, -2, 6},
+ { 0, 1,-1, 1, 0, -4, 6, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1},
+ { 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 0, 2, 3, 66, 29, -1},
+ { 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 0, 2, 490, 0, 0,-213},
+ { 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 0, 1, -22, 93, 49, 12},
+ { 0, 1,-1, 1, 0, -4, 5, 0, 0, 0, 0, 0, 0, -7, 28, 15, 4},
+ { 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 0, 1, -3, 13, 7, 2},
+ { 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, 0, -46, 14, 0, 0},
+
+ /* 311-320 */
+ {-2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0},
+ { 0,-1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0},
+ { 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, -28, 0, 0, 15},
+ { 0, 0, 0, 0, 0, 0, -1, 0, 5, 0, 0, 0, 2, 5, 0, 0, -2},
+ { 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, 0, 3, 0, 0},
+ { 0, 0, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 2, -11, 0, 0, 5},
+ { 0, 0, 0, 0, 0, 0, -7, 12, 0, 0, 0, 0, 2, 0, 3, 1, 0},
+ { 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1},
+ { 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 25, 106, 57, -13},
+
+ /* 321-330 */
+ { 0, 1,-1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 5, 21, 11, -3},
+ { 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1485, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, -7, -32, -17, 4},
+ { 0, 1,-1, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0},
+ { 0, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0, 0, 2, -6, -3, -2, 3},
+ { 0, 0, 0, 0, 0, 0, -1, 0, 4, 0, 0, 0, 2, 30, -6, -2, -13},
+ { 0, 0, 0, 0, 0, 0, 1, 0,-4, 0, 0, 0, 0, -4, 4, 0, 0},
+ { 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -19, 0, 0, 10},
+ { 0, 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 2, 0, 4, 2, -1},
+ { 0, 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 0, 0, 3, 0, 0},
+
+ /* 331-340 */
+ { 0, 2,-2, 1, 0, 0, -3, 0, 3, 0, 0, 0, 0, 4, 0, 0, -2},
+ { 0, 0, 0, 0, 0, 0, -3, 7, 0, 0, 0, 0, 2, 0, -3, -1, 0},
+ {-2, 0, 2, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 2, 5, 3, 1, -2},
+ { 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, 0, 11, 0, 0},
+ { 0, 0, 0, 0, 0, 0, -1, 0, 3, 0, 0, 0, 2, 118, 0, 0, -52},
+ { 0, 0, 0, 0, 0, 0, -1, 0, 3, 0, 0, 0, 1, 0, -5, -3, 0},
+ { 0, 0, 0, 0, 0, 0, 1, 0,-3, 0, 0, 0, 0, -28, 36, 0, 0},
+ { 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 5, -5, 0, 0},
+ { 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 1, 14, -59, -31, -8},
+
+ /* 341-350 */
+ { 0, 1,-1, 1, 0, -2, 3, 0, 0, 0, 0, 0, 0, 0, 9, 5, 1},
+ { 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 2, -458, 0, 0, 198},
+ { 0, 0, 0, 0, 0, -6, 9, 0, 0, 0, 0, 0, 2, 0, -45, -20, 0},
+ { 0, 0, 0, 0, 0, -6, 9, 0, 0, 0, 0, 0, 1, 9, 0, 0, -5},
+ { 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0},
+ { 0, 0, 0, 1, 0, 0, 1, 0,-2, 0, 0, 0, 0, 0, -4, -2, -1},
+ { 0, 2,-2, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 11, 0, 0, -6},
+ { 0, 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 2, 6, 0, 0, -2},
+ { 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, -16, 23, 0, 0},
+ { 0, 0, 0, 1, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, -4, -2, 0},
+
+ /* 351-360 */
+ { 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0, 2, -5, 0, 0, 2},
+ { 0, 0, 0, 0, 0, 0, 1, 0,-2, 0, 0, 0, 0, -166, 269, 0, 0},
+ { 0, 0, 0, 1, 0, 0, 1, 0,-1, 0, 0, 0, 0, 15, 0, 0, -8},
+ { 0, 0, 0, 0, 0, -5, 9, 0, 0, 0, 0, 0, 2, 10, 0, 0, -4},
+ { 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, -78, 45, 0, 0},
+ { 0, 0, 0, 0, 0, -3, 4, 0, 0, 0, 0, 0, 2, 0, -5, -2, 0},
+ { 0, 0, 0, 0, 0, -3, 4, 0, 0, 0, 0, 0, 1, 7, 0, 0, -4},
+ { 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, -5, 328, 0, 0},
+ { 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 1, 3, 0, 0, -2},
+ { 0, 0, 0, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 5, 0, 0, -2},
+
+ /* 361-370 */
+ { 0, 0, 0, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 3, 1, 0},
+ { 0, 0, 0, 0, 0, 0, 1, 0, 0,-3, 0, 0, 0, -3, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 1, 0, 1,-5, 0, 0, 0, -3, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, -4, -2, 0},
+ { 0, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0,-1223, -26, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 1, 0, 7, 3, 0},
+ { 0, 0, 0, 0, 0, 0, 1, 0,-3, 5, 0, 0, 0, 3, 0, 0, 0},
+ { 0, 0, 0, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0},
+ { 0, 0, 0, 0, 0, 0, 1, 0, 0,-2, 0, 0, 0, -6, 20, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -368, 0, 0, 0},
+
+ /* 371-380 */
+ { 0, 0, 0, 0, 0, 0, 1, 0, 0,-1, 0, 0, 0, -75, 0, 0, 0},
+ { 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 11, 0, 0, -6},
+ { 0, 0, 0, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0, 3, 0, 0, -2},
+ { 0, 0, 0, 0, 0, -8, 14, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1},
+ { 0, 0, 0, 0, 0, 0, 1, 0, 2,-5, 0, 0, 0, -13, -30, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 5, -8, 3, 0, 0, 0, 0, 21, 3, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 5, -8, 3, 0, 0, 0, 2, -3, 0, 0, 1},
+ { 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, -4, 0, 0, 2},
+ { 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 8, -27, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 3, -8, 3, 0, 0, 0, 0, -19, -11, 0, 0},
+
+ /* 381-390 */
+ { 0, 0, 0, 0, 0, 0, -3, 8,-3, 0, 0, 0, 2, -4, 0, 0, 2},
+ { 0, 0, 0, 0, 0, 0, 1, 0,-2, 5, 0, 0, 2, 0, 5, 2, 0},
+ { 0, 0, 0, 0, 0, -8, 12, 0, 0, 0, 0, 0, 2, -6, 0, 0, 2},
+ { 0, 0, 0, 0, 0, -8, 12, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 1, 0, 1,-2, 0, 0, 0, -1, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, -14, 0, 0, 6},
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, -74, 0, 0, 32},
+ { 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, -3, -1, 0},
+ { 0, 2,-2, 1, 0, -5, 5, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2},
+
+ /* 391-400 */
+ { 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 8, 11, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 3, 2, 0},
+ { 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, -262, 0, 0, 114},
+ { 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0},
+ { 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 0, 1, -7, 0, 0, 4},
+ { 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 0, 2, 0, -27, -12, 0},
+ { 0, 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 2, -19, -8, -4, 8},
+ { 0, 0, 0, 0, 0, -5, 7, 0, 0, 0, 0, 0, 2, 202, 0, 0, -87},
+ { 0, 0, 0, 0, 0, -5, 7, 0, 0, 0, 0, 0, 1, -8, 35, 19, 5},
+ { 0, 1,-1, 1, 0, -5, 6, 0, 0, 0, 0, 0, 0, 0, 4, 2, 0},
+
+ /* 401-410 */
+ { 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, 0, 16, -5, 0, 0},
+ { 0, 2,-2, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 5, 0, 0, -3},
+ { 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, -3, 0, 0},
+ { 0, 0, 0, 0,-1, 0, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, -35, -48, -21, 15},
+ { 0, 0, 0, 0, 0, 0, -2, 6, 0, 0, 0, 0, 2, -3, -5, -2, 1},
+ { 0, 0, 0, 1, 0, 2, -2, 0, 0, 0, 0, 0, 0, 6, 0, 0, -3},
+ { 0, 0, 0, 0, 0, 0, -6, 9, 0, 0, 0, 0, 2, 3, 0, 0, -1},
+ { 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, 0, -5, 0, 0},
+ { 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 1, 12, 55, 29, -6},
+
+ /* 411-420 */
+ { 0, 1,-1, 1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0},
+ { 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -598, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 1, -3, -13, -7, 1},
+ { 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 0, 0, 2, -5, -7, -3, 2},
+ { 0, 0, 0, 0, 0, 0, -5, 7, 0, 0, 0, 0, 2, 3, 0, 0, -1},
+ { 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, 5, -7, 0, 0},
+ { 0, 0, 0, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2},
+ { 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, 16, -6, 0, 0},
+ { 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, 0, 8, -3, 0, 0},
+ { 0, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 0, 1, 8, -31, -16, -4},
+
+ /* 421-430 */
+ { 0, 1,-1, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0},
+ { 0, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 0, 2, 113, 0, 0, -49},
+ { 0, 0, 0, 0, 0, -7, 10, 0, 0, 0, 0, 0, 2, 0, -24, -10, 0},
+ { 0, 0, 0, 0, 0, -7, 10, 0, 0, 0, 0, 0, 1, 4, 0, 0, -2},
+ { 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 27, 0, 0, 0},
+ { 0, 0, 0, 0, 0, -4, 8, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1},
+ { 0, 0, 0, 0, 0, -4, 5, 0, 0, 0, 0, 0, 2, 0, -4, -2, 0},
+ { 0, 0, 0, 0, 0, -4, 5, 0, 0, 0, 0, 0, 1, 5, 0, 0, -2},
+ { 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, -13, 0, 0, 6},
+
+ /* 431-440 */
+ { 0, 0, 0, 0, 0, 0, -2, 0, 5, 0, 0, 0, 2, 5, 0, 0, -2},
+ { 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, -18, -10, -4, 8},
+ { 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -4, -28, 0, 0},
+ { 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, -5, 6, 3, 2},
+ { 0, 0, 0, 0, 0, -9, 13, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1},
+ { 0, 0, 0, 0, 0, 0, -1, 5, 0, 0, 0, 0, 2, -5, -9, -4, 2},
+ { 0, 0, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 2, 17, 0, 0, -7},
+ { 0, 0, 0, 0, 0, 0, 2, 0,-4, 0, 0, 0, 0, 11, 4, 0, 0},
+ { 0, 0, 0, 0, 0, 0, -2, 7, 0, 0, 0, 0, 2, 0, -6, -2, 0},
+ { 0, 0, 0, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, 83, 15, 0, 0},
+
+ /* 441-450 */
+ { 0, 0, 0, 0, 0, -2, 5, 0, 0, 0, 0, 0, 1, -4, 0, 0, 2},
+ { 0, 0, 0, 0, 0, -2, 5, 0, 0, 0, 0, 0, 2, 0,-114, -49, 0},
+ { 0, 0, 0, 0, 0, -6, 8, 0, 0, 0, 0, 0, 2, 117, 0, 0, -51},
+ { 0, 0, 0, 0, 0, -6, 8, 0, 0, 0, 0, 0, 1, -5, 19, 10, 2},
+ { 0, 0, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0},
+ { 0, 0, 0, 1, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 2},
+ { 0, 0, 0, 0, 0, 0, -3, 9, 0, 0, 0, 0, 2, 0, -3, -1, 0},
+ { 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 3, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 2, 0, -6, -2, 0},
+ { 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 393, 3, 0, 0},
+
+ /* 451-460 */
+ { 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 1, -4, 21, 11, 2},
+ { 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 2, -6, 0, -1, 3},
+ { 0, 0, 0, 0, 0, -5, 10, 0, 0, 0, 0, 0, 2, -3, 8, 4, 1},
+ { 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 8, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 2, 18, -29, -13, -8},
+ { 0, 0, 0, 0, 0, -3, 3, 0, 0, 0, 0, 0, 1, 8, 34, 18, -4},
+ { 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 89, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 1, 3, 12, 6, -1},
+ { 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 2, 54, -15, -7, -24},
+ { 0, 0, 0, 0, 0, 0, 2, 0, 0,-3, 0, 0, 0, 0, 3, 0, 0},
+
+ /* 461-470 */
+ { 0, 0, 0, 0, 0, 0, -5, 13, 0, 0, 0, 0, 2, 3, 0, 0, -1},
+ { 0, 0, 0, 0, 0, 0, 2, 0,-1, 0, 0, 0, 0, 0, 35, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 2, 0,-1, 0, 0, 0, 2, -154, -30, -13, 67},
+ { 0, 0, 0, 0, 0, 0, 2, 0, 0,-2, 0, 0, 0, 15, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 2, 0, 0,-2, 0, 0, 1, 0, 4, 2, 0},
+ { 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 0, 9, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 2, 80, -71, -31, -35},
+ { 0, 0, 0, 0, 0, 0, 2, 0, 0,-1, 0, 0, 2, 0, -20, -9, 0},
+ { 0, 0, 0, 0, 0, 0, -6, 15, 0, 0, 0, 0, 2, 11, 5, 2, -5},
+ { 0, 0, 0, 0, 0, -8, 15, 0, 0, 0, 0, 0, 2, 61, -96, -42, -27},
+
+ /* 471-480 */
+ { 0, 0, 0, 0, 0, -3, 9, -4, 0, 0, 0, 0, 2, 14, 9, 4, -6},
+ { 0, 0, 0, 0, 0, 0, 2, 0, 2,-5, 0, 0, 2, -11, -6, -3, 5},
+ { 0, 0, 0, 0, 0, 0, -2, 8,-1,-5, 0, 0, 2, 0, -3, -1, 0},
+ { 0, 0, 0, 0, 0, 0, 6, -8, 3, 0, 0, 0, 2, 123,-415, -180, -53},
+ { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -35},
+ { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 7, -32, -17, -4},
+ { 0, 1,-1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -9, -5, 0},
+ { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, -4, 2, 0},
+ { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, -89, 0, 0, 38},
+
+ /* 481-490 */
+ { 0, 0, 0, 0, 0, 0, -6, 16,-4,-5, 0, 0, 2, 0, -86, -19, -6},
+ { 0, 0, 0, 0, 0, 0, -2, 8,-3, 0, 0, 0, 2, 0, 0, -19, 6},
+ { 0, 0, 0, 0, 0, 0, -2, 8,-3, 0, 0, 0, 2, -123,-416, -180, 53},
+ { 0, 0, 0, 0, 0, 0, 6, -8, 1, 5, 0, 0, 2, 0, -3, -1, 0},
+ { 0, 0, 0, 0, 0, 0, 2, 0,-2, 5, 0, 0, 2, 12, -6, -3, -5},
+ { 0, 0, 0, 0, 0, 3, -5, 4, 0, 0, 0, 0, 2, -13, 9, 4, 6},
+ { 0, 0, 0, 0, 0, -8, 11, 0, 0, 0, 0, 0, 2, 0, -15, -7, 0},
+ { 0, 0, 0, 0, 0, -8, 11, 0, 0, 0, 0, 0, 1, 3, 0, 0, -1},
+ { 0, 0, 0, 0, 0, -8, 11, 0, 0, 0, 0, 0, 2, -62, -97, -42, 27},
+ { 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 2, -11, 5, 2, 5},
+
+ /* 491-500 */
+ { 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, -19, -8, 0},
+ { 0, 0, 0, 0, 0, 3, -3, 0, 2, 0, 0, 0, 2, -3, 0, 0, 1},
+ { 0, 2,-2, 1, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, 4, 2, 0},
+ { 0, 1,-1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0},
+ { 0, 2,-2, 1, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, 4, 2, 0},
+ { 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, -85, -70, -31, 37},
+ { 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 163, -12, -5, -72},
+ { 0, 0, 0, 0, 0, -3, 7, 0, 0, 0, 0, 0, 2, -63, -16, -7, 28},
+ { 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, -21, -32, -14, 9},
+ { 0, 0, 0, 0, 0, -5, 6, 0, 0, 0, 0, 0, 2, 0, -3, -1, 0},
+
+ /* 501-510 */
+ { 0, 0, 0, 0, 0, -5, 6, 0, 0, 0, 0, 0, 1, 3, 0, 0, -2},
+ { 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0},
+ { 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 2, 3, 10, 4, -1},
+ { 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 3, 0, 0, -1},
+ { 0, 0, 0, 0, 0, 0, -1, 6, 0, 0, 0, 0, 2, 0, -7, -3, 0},
+ { 0, 0, 0, 0, 0, 0, 7, -9, 0, 0, 0, 0, 2, 0, -4, -2, 0},
+ { 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 6, 19, 0, 0},
+ { 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 2, 5,-173, -75, -2},
+ { 0, 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 2, 0, -7, -3, 0},
+ { 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 2, 7, -12, -5, -3},
+
+ /* 511-520 */
+ { 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, 1, -3, 0, 0, 2},
+ { 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, 2, 3, -4, -2, -1},
+ { 0, 0, 0, 0, 0, -7, 9, 0, 0, 0, 0, 0, 2, 74, 0, 0, -32},
+ { 0, 0, 0, 0, 0, -7, 9, 0, 0, 0, 0, 0, 1, -3, 12, 6, 2},
+ { 0, 0, 0, 0, 0, 0, 4, -3, 0, 0, 0, 0, 2, 26, -14, -6, -11},
+ { 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 2, 19, 0, 0, -8},
+ { 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 1, 6, 24, 13, -3},
+ { 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 83, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 1, 0, -10, -5, 0},
+ { 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 2, 11, -3, -1, -5},
+
+ /* 521-530 */
+ { 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 3, 0, 1, -1},
+ { 0, 0, 0, 0, 0, 0, -3, 0, 5, 0, 0, 0, 2, 3, 0, 0, -1},
+ { 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 5, -23, -12, -3},
+ { 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, -339, 0, 0, 147},
+ { 0, 0, 0, 0, 0, -9, 12, 0, 0, 0, 0, 0, 2, 0, -10, -5, 0},
+ { 0, 0, 0, 0, 0, 0, 3, 0,-4, 0, 0, 0, 0, 5, 0, 0, 0},
+ { 0, 2,-2, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1},
+ { 0, 0, 0, 0, 0, 0, 7, -8, 0, 0, 0, 0, 2, 0, -4, -2, 0},
+ { 0, 0, 0, 0, 0, 0, 3, 0,-3, 0, 0, 0, 0, 18, -3, 0, 0},
+
+ /* 531-540 */
+ { 0, 0, 0, 0, 0, 0, 3, 0,-3, 0, 0, 0, 2, 9, -11, -5, -4},
+ { 0, 0, 0, 0, 0, -2, 6, 0, 0, 0, 0, 0, 2, -8, 0, 0, 4},
+ { 0, 0, 0, 0, 0, -6, 7, 0, 0, 0, 0, 0, 1, 3, 0, 0, -1},
+ { 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 2, 6, -9, -4, -2},
+ { 0, 0, 0, 0, 0, 0, 3, 0,-2, 0, 0, 0, 0, -4, -12, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 3, 0,-2, 0, 0, 0, 2, 67, -91, -39, -29},
+ { 0, 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 2, 30, -18, -8, -13},
+ { 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 2, 0,-114, -50, 0},
+
+ /* 541-550 */
+ { 0, 0, 0, 0, 0, 0, 3, 0,-1, 0, 0, 0, 2, 0, 0, 0, 23},
+ { 0, 0, 0, 0, 0, 0, 3, 0,-1, 0, 0, 0, 2, 517, 16, 7,-224},
+ { 0, 0, 0, 0, 0, 0, 3, 0, 0,-2, 0, 0, 2, 0, -7, -3, 0},
+ { 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 2, 143, -3, -1, -62},
+ { 0, 0, 0, 0, 0, 0, 3, 0, 0,-1, 0, 0, 2, 29, 0, 0, -13},
+ { 0, 2,-2, 1, 0, 0, 1, 0,-1, 0, 0, 0, 0, -4, 0, 0, 2},
+ { 0, 0, 0, 0, 0, -8, 16, 0, 0, 0, 0, 0, 2, -6, 0, 0, 3},
+ { 0, 0, 0, 0, 0, 0, 3, 0, 2,-5, 0, 0, 2, 5, 12, 5, -2},
+ { 0, 0, 0, 0, 0, 0, 7, -8, 3, 0, 0, 0, 2, -25, 0, 0, 11},
+ { 0, 0, 0, 0, 0, 0, -5, 16,-4,-5, 0, 0, 2, -3, 0, 0, 1},
+
+ /* 551-560 */
+ { 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 4, 2, 0},
+ { 0, 0, 0, 0, 0, 0, -1, 8,-3, 0, 0, 0, 2, -22, 12, 5, 10},
+ { 0, 0, 0, 0, 0, -8, 10, 0, 0, 0, 0, 0, 2, 50, 0, 0, -22},
+ { 0, 0, 0, 0, 0, -8, 10, 0, 0, 0, 0, 0, 1, 0, 7, 4, 0},
+ { 0, 0, 0, 0, 0, -8, 10, 0, 0, 0, 0, 0, 2, 0, 3, 1, 0},
+ { 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, -4, 4, 2, 2},
+ { 0, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 2, -5, -11, -5, 2},
+ { 0, 0, 0, 0, 0, -3, 8, 0, 0, 0, 0, 0, 2, 0, 4, 2, 0},
+ { 0, 0, 0, 0, 0, -5, 5, 0, 0, 0, 0, 0, 1, 4, 17, 9, -2},
+ { 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 0, 59, 0, 0, 0},
+
+ /* 561-570 */
+ { 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 1, 0, -4, -2, 0},
+ { 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 2, -8, 0, 0, 4},
+ { 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 4, -15, -8, -2},
+ { 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 370, -8, 0,-160},
+ { 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 2, 0, 0, -3, 0},
+ { 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 2, 0, 3, 1, 0},
+ { 0, 0, 0, 0, 0, 0, 6, -5, 0, 0, 0, 0, 2, -6, 3, 1, 3},
+ { 0, 0, 0, 0, 0, 7, -8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 2, -10, 0, 0, 4},
+
+ /* 571-580 */
+ { 0, 0, 0, 0, 0, 4, -3, 0, 0, 0, 0, 0, 2, 0, 9, 4, 0},
+ { 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 4, 17, 7, -2},
+ { 0, 0, 0, 0, 0, -9, 11, 0, 0, 0, 0, 0, 2, 34, 0, 0, -15},
+ { 0, 0, 0, 0, 0, -9, 11, 0, 0, 0, 0, 0, 1, 0, 5, 3, 0},
+ { 0, 0, 0, 0, 0, 0, 4, 0,-4, 0, 0, 0, 2, -5, 0, 0, 2},
+ { 0, 0, 0, 0, 0, 0, 4, 0,-3, 0, 0, 0, 2, -37, -7, -3, 16},
+ { 0, 0, 0, 0, 0, -6, 6, 0, 0, 0, 0, 0, 1, 3, 13, 7, -2},
+ { 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 1, 0, -3, -2, 0},
+ { 0, 0, 0, 0, 0, 0, 4, 0,-2, 0, 0, 0, 2, -184, -3, -1, 80},
+
+ /* 581-590 */
+ { 0, 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 2, -3, 0, 0, 1},
+ { 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 1, 0, -10, -6, -1},
+ { 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 2, 31, -6, 0, -13},
+ { 0, 0, 0, 0, 0, 0, 4, 0,-1, 0, 0, 0, 2, -3, -32, -14, 1},
+ { 0, 0, 0, 0, 0, 0, 4, 0, 0,-2, 0, 0, 2, -7, 0, 0, 3},
+ { 0, 0, 0, 0, 0, 0, 5, -2, 0, 0, 0, 0, 2, 0, -8, -4, 0},
+ { 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 3, -4, 0, 0},
+ { 0, 0, 0, 0, 0, 8, -9, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0},
+ { 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 0, 2, 0, 3, 1, 0},
+
+ /* 591-600 */
+ { 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 19, -23, -10, 2},
+ { 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -10},
+ { 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 3, 2, 0},
+ { 0, 0, 0, 0, 0, -7, 7, 0, 0, 0, 0, 0, 1, 0, 9, 5, -1},
+ { 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 1, 0, -7, -4, 0},
+ { 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 2, 8, -4, 0, -4},
+ { 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0},
+ { 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 5, 0,-4, 0, 0, 0, 2, -3, 0, 0, 1},
+
+ /* 601-610 */
+ { 0, 0, 0, 0, 0, 0, 5, 0,-3, 0, 0, 0, 2, -9, 0, 1, 4},
+ { 0, 0, 0, 0, 0, 0, 5, 0,-2, 0, 0, 0, 2, 3, 12, 5, -1},
+ { 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 17, -3, -1, 0},
+ { 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 1, 0, 7, 4, 0},
+ { 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, 19, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 1, 0, -5, -3, 0},
+ { 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 2, 14, -3, 0, -1},
+ { 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0},
+ { 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, 0, 1, 0, 0, 0, -5},
+ { 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, 0, 1, 0, 5, 3, 0},
+
+ /* 611-620 */
+ { 0, 0, 0, 0, 0, 9, -9, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 0, 1, 0, -3, -2, 0},
+ { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 2, 9, 4, 3},
+ { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4},
+ { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 4, 2, 0},
+ { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 6, 0, 0, -3},
+ { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0},
+ { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 3, 1, 0},
+ { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 5, 0, 0, -2},
+
+ /* 621-630 */
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, -1},
+ { 1, 0,-2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 0},
+ { 1, 0,-2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0},
+ { 1, 0,-2, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 7, 0, 0, 0},
+ { 1, 0,-2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0},
+ {-1, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0},
+ {-1, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 6, 0, 0, 0},
+ {-1, 0, 2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -4, 0, 0},
+ { 1, 0,-2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -4, 0, 0},
+ {-2, 0, 2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 5, 0, 0, 0},
+
+ /* 631-640 */
+ {-1, 0, 0, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, -3, 0, 0, 0},
+ {-1, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 4, 0, 0, 0},
+ {-1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0},
+ {-1, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0},
+ { 1,-1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0},
+ {-1, 0, 2, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, 13, 0, 0, 0},
+ {-2, 0, 0, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, 21, 11, 0, 0},
+ { 1, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -5, 0, 0},
+ {-1, 1,-1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -5, -2, 0},
+ { 1, 1,-1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0},
+
+ /* 641-650 */
+ {-1, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -5, 0, 0},
+ {-1, 0, 2, 1, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 2},
+ { 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 20, 10, 0, 0},
+ {-1, 0, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -34, 0, 0, 0},
+ {-1, 0, 2, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, -19, 0, 0, 0},
+ { 1, 0,-2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 3, 0, 0, -2},
+ { 1, 2,-2, 2, 0, -3, 3, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1},
+ { 1, 2,-2, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0, -6, 0, 0, 3},
+ { 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0},
+ { 1, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 3, 0, 0, 0},
+
+ /* 651-660 */
+ { 0, 0,-2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0},
+ { 0, 0,-2, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 4, 0, 0, 0},
+ { 0, 2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1},
+ { 0, 2, 0, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 6, 0, 0, -3},
+ { 0, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0, -8, 0, 0, 3},
+ { 0, 2, 0, 2, 0, -2, 3, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0},
+ { 0, 0, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 0},
+ { 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -3, -2, 0},
+ { 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 126, -63, -27, -55},
+ {-1, 2, 0, 2, 0, 10, -3, 0, 0, 0, 0, 0, 0, -5, 0, 1, 2},
+
+ /* 661-670 */
+ { 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -3, 28, 15, 2},
+ { 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 5, 0, 1, -2},
+ { 0, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, 9, 4, 1},
+ { 0, 2, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, 9, 4, -1},
+ {-1, 2, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, -126, -63, -27, 55},
+ { 2, 2,-2, 2, 0, 0, -2, 0, 3, 0, 0, 0, 0, 3, 0, 0, -1},
+ { 1, 2, 0, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0, 21, -11, -6, -11},
+ { 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0},
+ {-1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -21, -11, -6, 11},
+ {-2, 2, 2, 2, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 1},
+
+ /* 671-680 */
+ { 0, 2, 0, 2, 0, 2, -3, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0},
+ { 0, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0, 8, 0, 0, -4},
+ { 0, 2, 0, 2, 0, 0, 1, 0,-1, 0, 0, 0, 0, -6, 0, 0, 3},
+ { 0, 2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1},
+ {-1, 2, 2, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 3, 0, 0, -1},
+ { 1, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1},
+ {-1, 2, 2, 2, 0, 0, 2, 0,-3, 0, 0, 0, 0, -5, 0, 0, 2},
+ { 2, 2, 0, 2, 0, 0, 2, 0,-3, 0, 0, 0, 0, 24, -12, -5, -11},
+ { 1, 2, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, 3, 1, 0},
+ { 1, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, 3, 1, 0},
+
+ /* 681-687 */
+ { 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0},
+ { 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, -24, -12, -5, 10},
+ { 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 4, 0, -1, -2},
+ {-1, 2, 2, 2, 0, 0, 2, 0,-2, 0, 0, 0, 0, 13, 0, 0, -6},
+ {-1, 2, 2, 2, 0, 3, -3, 0, 0, 0, 0, 0, 0, 7, 0, 0, -3},
+ { 1, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1},
+ { 0, 2, 2, 2, 0, 0, 2, 0,-2, 0, 0, 0, 0, 3, 0, 0, -1}
+ };
+
+/* Number of terms in the planetary nutation model */
+ const int NPL = (int) (sizeof xpl / sizeof xpl[0]);
+
+/* ------------------------------------------------------------------ */
+
+/* Interval between fundamental date J2000.0 and given date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* ------------------- */
+/* LUNI-SOLAR NUTATION */
+/* ------------------- */
+
+/* Fundamental (Delaunay) arguments */
+
+/* Mean anomaly of the Moon (IERS 2003). */
+ el = eraFal03(t);
+
+/* Mean anomaly of the Sun (MHB2000). */
+ elp = fmod(1287104.79305 +
+ t * (129596581.0481 +
+ t * (-0.5532 +
+ t * (0.000136 +
+ t * (-0.00001149)))), ERFA_TURNAS) * ERFA_DAS2R;
+
+/* Mean longitude of the Moon minus that of the ascending node */
+/* (IERS 2003). */
+ f = eraFaf03(t);
+
+/* Mean elongation of the Moon from the Sun (MHB2000). */
+ d = fmod(1072260.70369 +
+ t * (1602961601.2090 +
+ t * (-6.3706 +
+ t * (0.006593 +
+ t * (-0.00003169)))), ERFA_TURNAS) * ERFA_DAS2R;
+
+/* Mean longitude of the ascending node of the Moon (IERS 2003). */
+ om = eraFaom03(t);
+
+/* Initialize the nutation values. */
+ dp = 0.0;
+ de = 0.0;
+
+/* Summation of luni-solar nutation series (in reverse order). */
+ for (i = NLS-1; i >= 0; i--) {
+
+ /* Argument and functions. */
+ arg = fmod((double)xls[i].nl * el +
+ (double)xls[i].nlp * elp +
+ (double)xls[i].nf * f +
+ (double)xls[i].nd * d +
+ (double)xls[i].nom * om, ERFA_D2PI);
+ sarg = sin(arg);
+ carg = cos(arg);
+
+ /* Term. */
+ dp += (xls[i].sp + xls[i].spt * t) * sarg + xls[i].cp * carg;
+ de += (xls[i].ce + xls[i].cet * t) * carg + xls[i].se * sarg;
+ }
+
+/* Convert from 0.1 microarcsec units to radians. */
+ dpsils = dp * U2R;
+ depsls = de * U2R;
+
+/* ------------------ */
+/* PLANETARY NUTATION */
+/* ------------------ */
+
+/* n.b. The MHB2000 code computes the luni-solar and planetary nutation */
+/* in different functions, using slightly different Delaunay */
+/* arguments in the two cases. This behaviour is faithfully */
+/* reproduced here. Use of the IERS 2003 expressions for both */
+/* cases leads to negligible changes, well below */
+/* 0.1 microarcsecond. */
+
+/* Mean anomaly of the Moon (MHB2000). */
+ al = fmod(2.35555598 + 8328.6914269554 * t, ERFA_D2PI);
+
+/* Mean longitude of the Moon minus that of the ascending node */
+/*(MHB2000). */
+ af = fmod(1.627905234 + 8433.466158131 * t, ERFA_D2PI);
+
+/* Mean elongation of the Moon from the Sun (MHB2000). */
+ ad = fmod(5.198466741 + 7771.3771468121 * t, ERFA_D2PI);
+
+/* Mean longitude of the ascending node of the Moon (MHB2000). */
+ aom = fmod(2.18243920 - 33.757045 * t, ERFA_D2PI);
+
+/* General accumulated precession in longitude (IERS 2003). */
+ apa = eraFapa03(t);
+
+/* Planetary longitudes, Mercury through Uranus (IERS 2003). */
+ alme = eraFame03(t);
+ alve = eraFave03(t);
+ alea = eraFae03(t);
+ alma = eraFama03(t);
+ alju = eraFaju03(t);
+ alsa = eraFasa03(t);
+ alur = eraFaur03(t);
+
+/* Neptune longitude (MHB2000). */
+ alne = fmod(5.321159000 + 3.8127774000 * t, ERFA_D2PI);
+
+/* Initialize the nutation values. */
+ dp = 0.0;
+ de = 0.0;
+
+/* Summation of planetary nutation series (in reverse order). */
+ for (i = NPL-1; i >= 0; i--) {
+
+ /* Argument and functions. */
+ arg = fmod((double)xpl[i].nl * al +
+ (double)xpl[i].nf * af +
+ (double)xpl[i].nd * ad +
+ (double)xpl[i].nom * aom +
+ (double)xpl[i].nme * alme +
+ (double)xpl[i].nve * alve +
+ (double)xpl[i].nea * alea +
+ (double)xpl[i].nma * alma +
+ (double)xpl[i].nju * alju +
+ (double)xpl[i].nsa * alsa +
+ (double)xpl[i].nur * alur +
+ (double)xpl[i].nne * alne +
+ (double)xpl[i].npa * apa, ERFA_D2PI);
+ sarg = sin(arg);
+ carg = cos(arg);
+
+ /* Term. */
+ dp += (double)xpl[i].sp * sarg + (double)xpl[i].cp * carg;
+ de += (double)xpl[i].se * sarg + (double)xpl[i].ce * carg;
+
+ }
+
+/* Convert from 0.1 microarcsec units to radians. */
+ dpsipl = dp * U2R;
+ depspl = de * U2R;
+
+/* ------- */
+/* RESULTS */
+/* ------- */
+
+/* Add luni-solar and planetary components. */
+ *dpsi = dpsils + dpsipl;
+ *deps = depsls + depspl;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/nut00b.c b/src/detail/erfa/nut00b.c
new file mode 100644
index 000000000..d2422c76f
--- /dev/null
+++ b/src/detail/erfa/nut00b.c
@@ -0,0 +1,384 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraNut00b(double date1, double date2, double *dpsi, double *deps)
+/*
+** - - - - - - - - - -
+** e r a N u t 0 0 b
+** - - - - - - - - - -
+**
+** Nutation, IAU 2000B model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** dpsi,deps double nutation, luni-solar + planetary (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The nutation components in longitude and obliquity are in radians
+** and with respect to the equinox and ecliptic of date. The
+** obliquity at J2000.0 is assumed to be the Lieske et al. (1977)
+** value of 84381.448 arcsec. (The errors that result from using
+** this function with the IAU 2006 value of 84381.406 arcsec can be
+** neglected.)
+**
+** The nutation model consists only of luni-solar terms, but
+** includes also a fixed offset which compensates for certain long-
+** period planetary terms (Note 7).
+**
+** 3) This function is an implementation of the IAU 2000B abridged
+** nutation model formally adopted by the IAU General Assembly in
+** 2000. The function computes the MHB_2000_SHORT luni-solar
+** nutation series (Luzum 2001), but without the associated
+** corrections for the precession rate adjustments and the offset
+** between the GCRS and J2000.0 mean poles.
+**
+** 4) The full IAU 2000A (MHB2000) nutation model contains nearly 1400
+** terms. The IAU 2000B model (McCarthy & Luzum 2003) contains only
+** 77 terms, plus additional simplifications, yet still delivers
+** results of 1 mas accuracy at present epochs. This combination of
+** accuracy and size makes the IAU 2000B abridged nutation model
+** suitable for most practical applications.
+**
+** The function delivers a pole accurate to 1 mas from 1900 to 2100
+** (usually better than 1 mas, very occasionally just outside
+** 1 mas). The full IAU 2000A model, which is implemented in the
+** function eraNut00a (q.v.), delivers considerably greater accuracy
+** at current dates; however, to realize this improved accuracy,
+** corrections for the essentially unpredictable free-core-nutation
+** (FCN) must also be included.
+**
+** 5) The present function provides classical nutation. The
+** MHB_2000_SHORT algorithm, from which it is adapted, deals also
+** with (i) the offsets between the GCRS and mean poles and (ii) the
+** adjustments in longitude and obliquity due to the changed
+** precession rates. These additional functions, namely frame bias
+** and precession adjustments, are supported by the ERFA functions
+** eraBi00 and eraPr00.
+**
+** 6) The MHB_2000_SHORT algorithm also provides "total" nutations,
+** comprising the arithmetic sum of the frame bias, precession
+** adjustments, and nutation (luni-solar + planetary). These total
+** nutations can be used in combination with an existing IAU 1976
+** precession implementation, such as eraPmat76, to deliver GCRS-
+** to-true predictions of mas accuracy at current epochs. However,
+** for symmetry with the eraNut00a function (q.v. for the reasons),
+** the ERFA functions do not generate the "total nutations"
+** directly. Should they be required, they could of course easily
+** be generated by calling eraBi00, eraPr00 and the present function
+** and adding the results.
+**
+** 7) The IAU 2000B model includes "planetary bias" terms that are
+** fixed in size but compensate for long-period nutations. The
+** amplitudes quoted in McCarthy & Luzum (2003), namely
+** Dpsi = -1.5835 mas and Depsilon = +1.6339 mas, are optimized for
+** the "total nutations" method described in Note 6. The Luzum
+** (2001) values used in this ERFA implementation, namely -0.135 mas
+** and +0.388 mas, are optimized for the "rigorous" method, where
+** frame bias, precession and nutation are applied separately and in
+** that order. During the interval 1995-2050, the ERFA
+** implementation delivers a maximum error of 1.001 mas (not
+** including FCN).
+**
+** References:
+**
+** Lieske, J.H., Lederle, T., Fricke, W., Morando, B., "Expressions
+** for the precession quantities based upon the IAU /1976/ system of
+** astronomical constants", Astron.Astrophys. 58, 1-2, 1-16. (1977)
+**
+** Luzum, B., private communication, 2001 (Fortran code
+** MHB_2000_SHORT)
+**
+** McCarthy, D.D. & Luzum, B.J., "An abridged model of the
+** precession-nutation of the celestial pole", Cel.Mech.Dyn.Astron.
+** 85, 37-49 (2003)
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J., Astron.Astrophys. 282, 663-683 (1994)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t, el, elp, f, d, om, arg, dp, de, sarg, carg,
+ dpsils, depsls, dpsipl, depspl;
+ int i;
+
+/* Units of 0.1 microarcsecond to radians */
+ static const double U2R = ERFA_DAS2R / 1e7;
+
+/* ---------------------------------------- */
+/* Fixed offsets in lieu of planetary terms */
+/* ---------------------------------------- */
+
+ static const double DPPLAN = -0.135 * ERFA_DMAS2R;
+ static const double DEPLAN = 0.388 * ERFA_DMAS2R;
+
+/* --------------------------------------------------- */
+/* Luni-solar nutation: argument and term coefficients */
+/* --------------------------------------------------- */
+
+/* The units for the sine and cosine coefficients are */
+/* 0.1 microarcsec and the same per Julian century */
+
+ static const struct {
+ int nl,nlp,nf,nd,nom; /* coefficients of l,l',F,D,Om */
+ double ps,pst,pc; /* longitude sin, t*sin, cos coefficients */
+ double ec,ect,es; /* obliquity cos, t*cos, sin coefficients */
+
+ } x[] = {
+
+ /* 1-10 */
+ { 0, 0, 0, 0,1,
+ -172064161.0, -174666.0, 33386.0, 92052331.0, 9086.0, 15377.0},
+ { 0, 0, 2,-2,2,
+ -13170906.0, -1675.0, -13696.0, 5730336.0, -3015.0, -4587.0},
+ { 0, 0, 2, 0,2,-2276413.0,-234.0, 2796.0, 978459.0,-485.0,1374.0},
+ { 0, 0, 0, 0,2,2074554.0, 207.0, -698.0,-897492.0, 470.0,-291.0},
+ { 0, 1, 0, 0,0,1475877.0,-3633.0,11817.0, 73871.0,-184.0,-1924.0},
+ { 0, 1, 2,-2,2,-516821.0, 1226.0, -524.0, 224386.0,-677.0,-174.0},
+ { 1, 0, 0, 0,0, 711159.0, 73.0, -872.0, -6750.0, 0.0, 358.0},
+ { 0, 0, 2, 0,1,-387298.0, -367.0, 380.0, 200728.0, 18.0, 318.0},
+ { 1, 0, 2, 0,2,-301461.0, -36.0, 816.0, 129025.0, -63.0, 367.0},
+ { 0,-1, 2,-2,2, 215829.0, -494.0, 111.0, -95929.0, 299.0, 132.0},
+
+ /* 11-20 */
+ { 0, 0, 2,-2,1, 128227.0, 137.0, 181.0, -68982.0, -9.0, 39.0},
+ {-1, 0, 2, 0,2, 123457.0, 11.0, 19.0, -53311.0, 32.0, -4.0},
+ {-1, 0, 0, 2,0, 156994.0, 10.0, -168.0, -1235.0, 0.0, 82.0},
+ { 1, 0, 0, 0,1, 63110.0, 63.0, 27.0, -33228.0, 0.0, -9.0},
+ {-1, 0, 0, 0,1, -57976.0, -63.0, -189.0, 31429.0, 0.0, -75.0},
+ {-1, 0, 2, 2,2, -59641.0, -11.0, 149.0, 25543.0, -11.0, 66.0},
+ { 1, 0, 2, 0,1, -51613.0, -42.0, 129.0, 26366.0, 0.0, 78.0},
+ {-2, 0, 2, 0,1, 45893.0, 50.0, 31.0, -24236.0, -10.0, 20.0},
+ { 0, 0, 0, 2,0, 63384.0, 11.0, -150.0, -1220.0, 0.0, 29.0},
+ { 0, 0, 2, 2,2, -38571.0, -1.0, 158.0, 16452.0, -11.0, 68.0},
+
+ /* 21-30 */
+ { 0,-2, 2,-2,2, 32481.0, 0.0, 0.0, -13870.0, 0.0, 0.0},
+ {-2, 0, 0, 2,0, -47722.0, 0.0, -18.0, 477.0, 0.0, -25.0},
+ { 2, 0, 2, 0,2, -31046.0, -1.0, 131.0, 13238.0, -11.0, 59.0},
+ { 1, 0, 2,-2,2, 28593.0, 0.0, -1.0, -12338.0, 10.0, -3.0},
+ {-1, 0, 2, 0,1, 20441.0, 21.0, 10.0, -10758.0, 0.0, -3.0},
+ { 2, 0, 0, 0,0, 29243.0, 0.0, -74.0, -609.0, 0.0, 13.0},
+ { 0, 0, 2, 0,0, 25887.0, 0.0, -66.0, -550.0, 0.0, 11.0},
+ { 0, 1, 0, 0,1, -14053.0, -25.0, 79.0, 8551.0, -2.0, -45.0},
+ {-1, 0, 0, 2,1, 15164.0, 10.0, 11.0, -8001.0, 0.0, -1.0},
+ { 0, 2, 2,-2,2, -15794.0, 72.0, -16.0, 6850.0, -42.0, -5.0},
+
+ /* 31-40 */
+ { 0, 0,-2, 2,0, 21783.0, 0.0, 13.0, -167.0, 0.0, 13.0},
+ { 1, 0, 0,-2,1, -12873.0, -10.0, -37.0, 6953.0, 0.0, -14.0},
+ { 0,-1, 0, 0,1, -12654.0, 11.0, 63.0, 6415.0, 0.0, 26.0},
+ {-1, 0, 2, 2,1, -10204.0, 0.0, 25.0, 5222.0, 0.0, 15.0},
+ { 0, 2, 0, 0,0, 16707.0, -85.0, -10.0, 168.0, -1.0, 10.0},
+ { 1, 0, 2, 2,2, -7691.0, 0.0, 44.0, 3268.0, 0.0, 19.0},
+ {-2, 0, 2, 0,0, -11024.0, 0.0, -14.0, 104.0, 0.0, 2.0},
+ { 0, 1, 2, 0,2, 7566.0, -21.0, -11.0, -3250.0, 0.0, -5.0},
+ { 0, 0, 2, 2,1, -6637.0, -11.0, 25.0, 3353.0, 0.0, 14.0},
+ { 0,-1, 2, 0,2, -7141.0, 21.0, 8.0, 3070.0, 0.0, 4.0},
+
+ /* 41-50 */
+ { 0, 0, 0, 2,1, -6302.0, -11.0, 2.0, 3272.0, 0.0, 4.0},
+ { 1, 0, 2,-2,1, 5800.0, 10.0, 2.0, -3045.0, 0.0, -1.0},
+ { 2, 0, 2,-2,2, 6443.0, 0.0, -7.0, -2768.0, 0.0, -4.0},
+ {-2, 0, 0, 2,1, -5774.0, -11.0, -15.0, 3041.0, 0.0, -5.0},
+ { 2, 0, 2, 0,1, -5350.0, 0.0, 21.0, 2695.0, 0.0, 12.0},
+ { 0,-1, 2,-2,1, -4752.0, -11.0, -3.0, 2719.0, 0.0, -3.0},
+ { 0, 0, 0,-2,1, -4940.0, -11.0, -21.0, 2720.0, 0.0, -9.0},
+ {-1,-1, 0, 2,0, 7350.0, 0.0, -8.0, -51.0, 0.0, 4.0},
+ { 2, 0, 0,-2,1, 4065.0, 0.0, 6.0, -2206.0, 0.0, 1.0},
+ { 1, 0, 0, 2,0, 6579.0, 0.0, -24.0, -199.0, 0.0, 2.0},
+
+ /* 51-60 */
+ { 0, 1, 2,-2,1, 3579.0, 0.0, 5.0, -1900.0, 0.0, 1.0},
+ { 1,-1, 0, 0,0, 4725.0, 0.0, -6.0, -41.0, 0.0, 3.0},
+ {-2, 0, 2, 0,2, -3075.0, 0.0, -2.0, 1313.0, 0.0, -1.0},
+ { 3, 0, 2, 0,2, -2904.0, 0.0, 15.0, 1233.0, 0.0, 7.0},
+ { 0,-1, 0, 2,0, 4348.0, 0.0, -10.0, -81.0, 0.0, 2.0},
+ { 1,-1, 2, 0,2, -2878.0, 0.0, 8.0, 1232.0, 0.0, 4.0},
+ { 0, 0, 0, 1,0, -4230.0, 0.0, 5.0, -20.0, 0.0, -2.0},
+ {-1,-1, 2, 2,2, -2819.0, 0.0, 7.0, 1207.0, 0.0, 3.0},
+ {-1, 0, 2, 0,0, -4056.0, 0.0, 5.0, 40.0, 0.0, -2.0},
+ { 0,-1, 2, 2,2, -2647.0, 0.0, 11.0, 1129.0, 0.0, 5.0},
+
+ /* 61-70 */
+ {-2, 0, 0, 0,1, -2294.0, 0.0, -10.0, 1266.0, 0.0, -4.0},
+ { 1, 1, 2, 0,2, 2481.0, 0.0, -7.0, -1062.0, 0.0, -3.0},
+ { 2, 0, 0, 0,1, 2179.0, 0.0, -2.0, -1129.0, 0.0, -2.0},
+ {-1, 1, 0, 1,0, 3276.0, 0.0, 1.0, -9.0, 0.0, 0.0},
+ { 1, 1, 0, 0,0, -3389.0, 0.0, 5.0, 35.0, 0.0, -2.0},
+ { 1, 0, 2, 0,0, 3339.0, 0.0, -13.0, -107.0, 0.0, 1.0},
+ {-1, 0, 2,-2,1, -1987.0, 0.0, -6.0, 1073.0, 0.0, -2.0},
+ { 1, 0, 0, 0,2, -1981.0, 0.0, 0.0, 854.0, 0.0, 0.0},
+ {-1, 0, 0, 1,0, 4026.0, 0.0, -353.0, -553.0, 0.0,-139.0},
+ { 0, 0, 2, 1,2, 1660.0, 0.0, -5.0, -710.0, 0.0, -2.0},
+
+ /* 71-77 */
+ {-1, 0, 2, 4,2, -1521.0, 0.0, 9.0, 647.0, 0.0, 4.0},
+ {-1, 1, 0, 1,1, 1314.0, 0.0, 0.0, -700.0, 0.0, 0.0},
+ { 0,-2, 2,-2,1, -1283.0, 0.0, 0.0, 672.0, 0.0, 0.0},
+ { 1, 0, 2, 2,1, -1331.0, 0.0, 8.0, 663.0, 0.0, 4.0},
+ {-2, 0, 2, 2,2, 1383.0, 0.0, -2.0, -594.0, 0.0, -2.0},
+ {-1, 0, 0, 0,2, 1405.0, 0.0, 4.0, -610.0, 0.0, 2.0},
+ { 1, 1, 2,-2,2, 1290.0, 0.0, 0.0, -556.0, 0.0, 0.0}
+ };
+
+/* Number of terms in the series */
+ const int NLS = (int) (sizeof x / sizeof x[0]);
+
+/* ------------------------------------------------------------------ */
+
+/* Interval between fundamental epoch J2000.0 and given date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* --------------------*/
+/* LUNI-SOLAR NUTATION */
+/* --------------------*/
+
+/* Fundamental (Delaunay) arguments from Simon et al. (1994) */
+
+/* Mean anomaly of the Moon. */
+ el = fmod(485868.249036 + (1717915923.2178) * t, ERFA_TURNAS) * ERFA_DAS2R;
+
+/* Mean anomaly of the Sun. */
+ elp = fmod(1287104.79305 + (129596581.0481) * t, ERFA_TURNAS) * ERFA_DAS2R;
+
+/* Mean argument of the latitude of the Moon. */
+ f = fmod(335779.526232 + (1739527262.8478) * t, ERFA_TURNAS) * ERFA_DAS2R;
+
+/* Mean elongation of the Moon from the Sun. */
+ d = fmod(1072260.70369 + (1602961601.2090) * t, ERFA_TURNAS) * ERFA_DAS2R;
+
+/* Mean longitude of the ascending node of the Moon. */
+ om = fmod(450160.398036 + (-6962890.5431) * t, ERFA_TURNAS) * ERFA_DAS2R;
+
+/* Initialize the nutation values. */
+ dp = 0.0;
+ de = 0.0;
+
+/* Summation of luni-solar nutation series (smallest terms first). */
+ for (i = NLS-1; i >= 0; i--) {
+
+ /* Argument and functions. */
+ arg = fmod( (double)x[i].nl * el +
+ (double)x[i].nlp * elp +
+ (double)x[i].nf * f +
+ (double)x[i].nd * d +
+ (double)x[i].nom * om, ERFA_D2PI );
+ sarg = sin(arg);
+ carg = cos(arg);
+
+ /* Term. */
+ dp += (x[i].ps + x[i].pst * t) * sarg + x[i].pc * carg;
+ de += (x[i].ec + x[i].ect * t) * carg + x[i].es * sarg;
+ }
+
+/* Convert from 0.1 microarcsec units to radians. */
+ dpsils = dp * U2R;
+ depsls = de * U2R;
+
+/* ------------------------------*/
+/* IN LIEU OF PLANETARY NUTATION */
+/* ------------------------------*/
+
+/* Fixed offset to correct for missing terms in truncated series. */
+ dpsipl = DPPLAN;
+ depspl = DEPLAN;
+
+/* --------*/
+/* RESULTS */
+/* --------*/
+
+/* Add luni-solar and planetary components. */
+ *dpsi = dpsils + dpsipl;
+ *deps = depsls + depspl;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/nut06a.c b/src/detail/erfa/nut06a.c
new file mode 100644
index 000000000..9879e9aca
--- /dev/null
+++ b/src/detail/erfa/nut06a.c
@@ -0,0 +1,165 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraNut06a(double date1, double date2, double *dpsi, double *deps)
+/*
+** - - - - - - - - - -
+** e r a N u t 0 6 a
+** - - - - - - - - - -
+**
+** IAU 2000A nutation with adjustments to match the IAU 2006
+** precession.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** dpsi,deps double nutation, luni-solar + planetary (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The nutation components in longitude and obliquity are in radians
+** and with respect to the mean equinox and ecliptic of date,
+** IAU 2006 precession model (Hilton et al. 2006, Capitaine et al.
+** 2005).
+**
+** 3) The function first computes the IAU 2000A nutation, then applies
+** adjustments for (i) the consequences of the change in obliquity
+** from the IAU 1980 ecliptic to the IAU 2006 ecliptic and (ii) the
+** secular variation in the Earth's dynamical form factor J2.
+**
+** 4) The present function provides classical nutation, complementing
+** the IAU 2000 frame bias and IAU 2006 precession. It delivers a
+** pole which is at current epochs accurate to a few tens of
+** microarcseconds, apart from the free core nutation.
+**
+** Called:
+** eraNut00a nutation, IAU 2000A
+**
+** References:
+**
+** Chapront, J., Chapront-Touze, M. & Francou, G. 2002,
+** Astron.Astrophys. 387, 700
+**
+** Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977,
+** Astron.Astrophys. 58, 1-16
+**
+** Mathews, P.M., Herring, T.A., Buffet, B.A. 2002, J.Geophys.Res.
+** 107, B4. The MHB_2000 code itself was obtained on 9th September
+** 2002 from ftp//maia.usno.navy.mil/conv2000/chapter5/IAU2000A.
+**
+** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
+**
+** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
+** Astron.Astrophys.Supp.Ser. 135, 111
+**
+** Wallace, P.T., "Software for Implementing the IAU 2000
+** Resolutions", in IERS Workshop 5.1 (2002)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t, fj2, dp, de;
+
+
+/* Interval between fundamental date J2000.0 and given date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* Factor correcting for secular variation of J2. */
+ fj2 = -2.7774e-6 * t;
+
+/* Obtain IAU 2000A nutation. */
+ eraNut00a(date1, date2, &dp, &de);
+
+/* Apply P03 adjustments (Wallace & Capitaine, 2006, Eqs.5). */
+ *dpsi = dp + dp * (0.4697e-6 + fj2);
+ *deps = de + de * fj2;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/nut80.c b/src/detail/erfa/nut80.c
new file mode 100644
index 000000000..ec36e2ebe
--- /dev/null
+++ b/src/detail/erfa/nut80.c
@@ -0,0 +1,337 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraNut80(double date1, double date2, double *dpsi, double *deps)
+/*
+** - - - - - - - - -
+** e r a N u t 8 0
+** - - - - - - - - -
+**
+** Nutation, IAU 1980 model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** dpsi double nutation in longitude (radians)
+** deps double nutation in obliquity (radians)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The nutation components are with respect to the ecliptic of
+** date.
+**
+** Called:
+** eraAnpm normalize angle into range +/- pi
+**
+** Reference:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992),
+** Section 3.222 (p111).
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t, el, elp, f, d, om, dp, de, arg, s, c;
+ int j;
+
+/* Units of 0.1 milliarcsecond to radians */
+ const double U2R = ERFA_DAS2R / 1e4;
+
+/* ------------------------------------------------ */
+/* Table of multiples of arguments and coefficients */
+/* ------------------------------------------------ */
+
+/* The units for the sine and cosine coefficients are 0.1 mas and */
+/* the same per Julian century */
+
+ static const struct {
+ int nl,nlp,nf,nd,nom; /* coefficients of l,l',F,D,Om */
+ double sp,spt; /* longitude sine, 1 and t coefficients */
+ double ce,cet; /* obliquity cosine, 1 and t coefficients */
+ } x[] = {
+
+ /* 1-10 */
+ { 0, 0, 0, 0, 1, -171996.0, -174.2, 92025.0, 8.9 },
+ { 0, 0, 0, 0, 2, 2062.0, 0.2, -895.0, 0.5 },
+ { -2, 0, 2, 0, 1, 46.0, 0.0, -24.0, 0.0 },
+ { 2, 0, -2, 0, 0, 11.0, 0.0, 0.0, 0.0 },
+ { -2, 0, 2, 0, 2, -3.0, 0.0, 1.0, 0.0 },
+ { 1, -1, 0, -1, 0, -3.0, 0.0, 0.0, 0.0 },
+ { 0, -2, 2, -2, 1, -2.0, 0.0, 1.0, 0.0 },
+ { 2, 0, -2, 0, 1, 1.0, 0.0, 0.0, 0.0 },
+ { 0, 0, 2, -2, 2, -13187.0, -1.6, 5736.0, -3.1 },
+ { 0, 1, 0, 0, 0, 1426.0, -3.4, 54.0, -0.1 },
+
+ /* 11-20 */
+ { 0, 1, 2, -2, 2, -517.0, 1.2, 224.0, -0.6 },
+ { 0, -1, 2, -2, 2, 217.0, -0.5, -95.0, 0.3 },
+ { 0, 0, 2, -2, 1, 129.0, 0.1, -70.0, 0.0 },
+ { 2, 0, 0, -2, 0, 48.0, 0.0, 1.0, 0.0 },
+ { 0, 0, 2, -2, 0, -22.0, 0.0, 0.0, 0.0 },
+ { 0, 2, 0, 0, 0, 17.0, -0.1, 0.0, 0.0 },
+ { 0, 1, 0, 0, 1, -15.0, 0.0, 9.0, 0.0 },
+ { 0, 2, 2, -2, 2, -16.0, 0.1, 7.0, 0.0 },
+ { 0, -1, 0, 0, 1, -12.0, 0.0, 6.0, 0.0 },
+ { -2, 0, 0, 2, 1, -6.0, 0.0, 3.0, 0.0 },
+
+ /* 21-30 */
+ { 0, -1, 2, -2, 1, -5.0, 0.0, 3.0, 0.0 },
+ { 2, 0, 0, -2, 1, 4.0, 0.0, -2.0, 0.0 },
+ { 0, 1, 2, -2, 1, 4.0, 0.0, -2.0, 0.0 },
+ { 1, 0, 0, -1, 0, -4.0, 0.0, 0.0, 0.0 },
+ { 2, 1, 0, -2, 0, 1.0, 0.0, 0.0, 0.0 },
+ { 0, 0, -2, 2, 1, 1.0, 0.0, 0.0, 0.0 },
+ { 0, 1, -2, 2, 0, -1.0, 0.0, 0.0, 0.0 },
+ { 0, 1, 0, 0, 2, 1.0, 0.0, 0.0, 0.0 },
+ { -1, 0, 0, 1, 1, 1.0, 0.0, 0.0, 0.0 },
+ { 0, 1, 2, -2, 0, -1.0, 0.0, 0.0, 0.0 },
+
+ /* 31-40 */
+ { 0, 0, 2, 0, 2, -2274.0, -0.2, 977.0, -0.5 },
+ { 1, 0, 0, 0, 0, 712.0, 0.1, -7.0, 0.0 },
+ { 0, 0, 2, 0, 1, -386.0, -0.4, 200.0, 0.0 },
+ { 1, 0, 2, 0, 2, -301.0, 0.0, 129.0, -0.1 },
+ { 1, 0, 0, -2, 0, -158.0, 0.0, -1.0, 0.0 },
+ { -1, 0, 2, 0, 2, 123.0, 0.0, -53.0, 0.0 },
+ { 0, 0, 0, 2, 0, 63.0, 0.0, -2.0, 0.0 },
+ { 1, 0, 0, 0, 1, 63.0, 0.1, -33.0, 0.0 },
+ { -1, 0, 0, 0, 1, -58.0, -0.1, 32.0, 0.0 },
+ { -1, 0, 2, 2, 2, -59.0, 0.0, 26.0, 0.0 },
+
+ /* 41-50 */
+ { 1, 0, 2, 0, 1, -51.0, 0.0, 27.0, 0.0 },
+ { 0, 0, 2, 2, 2, -38.0, 0.0, 16.0, 0.0 },
+ { 2, 0, 0, 0, 0, 29.0, 0.0, -1.0, 0.0 },
+ { 1, 0, 2, -2, 2, 29.0, 0.0, -12.0, 0.0 },
+ { 2, 0, 2, 0, 2, -31.0, 0.0, 13.0, 0.0 },
+ { 0, 0, 2, 0, 0, 26.0, 0.0, -1.0, 0.0 },
+ { -1, 0, 2, 0, 1, 21.0, 0.0, -10.0, 0.0 },
+ { -1, 0, 0, 2, 1, 16.0, 0.0, -8.0, 0.0 },
+ { 1, 0, 0, -2, 1, -13.0, 0.0, 7.0, 0.0 },
+ { -1, 0, 2, 2, 1, -10.0, 0.0, 5.0, 0.0 },
+
+ /* 51-60 */
+ { 1, 1, 0, -2, 0, -7.0, 0.0, 0.0, 0.0 },
+ { 0, 1, 2, 0, 2, 7.0, 0.0, -3.0, 0.0 },
+ { 0, -1, 2, 0, 2, -7.0, 0.0, 3.0, 0.0 },
+ { 1, 0, 2, 2, 2, -8.0, 0.0, 3.0, 0.0 },
+ { 1, 0, 0, 2, 0, 6.0, 0.0, 0.0, 0.0 },
+ { 2, 0, 2, -2, 2, 6.0, 0.0, -3.0, 0.0 },
+ { 0, 0, 0, 2, 1, -6.0, 0.0, 3.0, 0.0 },
+ { 0, 0, 2, 2, 1, -7.0, 0.0, 3.0, 0.0 },
+ { 1, 0, 2, -2, 1, 6.0, 0.0, -3.0, 0.0 },
+ { 0, 0, 0, -2, 1, -5.0, 0.0, 3.0, 0.0 },
+
+ /* 61-70 */
+ { 1, -1, 0, 0, 0, 5.0, 0.0, 0.0, 0.0 },
+ { 2, 0, 2, 0, 1, -5.0, 0.0, 3.0, 0.0 },
+ { 0, 1, 0, -2, 0, -4.0, 0.0, 0.0, 0.0 },
+ { 1, 0, -2, 0, 0, 4.0, 0.0, 0.0, 0.0 },
+ { 0, 0, 0, 1, 0, -4.0, 0.0, 0.0, 0.0 },
+ { 1, 1, 0, 0, 0, -3.0, 0.0, 0.0, 0.0 },
+ { 1, 0, 2, 0, 0, 3.0, 0.0, 0.0, 0.0 },
+ { 1, -1, 2, 0, 2, -3.0, 0.0, 1.0, 0.0 },
+ { -1, -1, 2, 2, 2, -3.0, 0.0, 1.0, 0.0 },
+ { -2, 0, 0, 0, 1, -2.0, 0.0, 1.0, 0.0 },
+
+ /* 71-80 */
+ { 3, 0, 2, 0, 2, -3.0, 0.0, 1.0, 0.0 },
+ { 0, -1, 2, 2, 2, -3.0, 0.0, 1.0, 0.0 },
+ { 1, 1, 2, 0, 2, 2.0, 0.0, -1.0, 0.0 },
+ { -1, 0, 2, -2, 1, -2.0, 0.0, 1.0, 0.0 },
+ { 2, 0, 0, 0, 1, 2.0, 0.0, -1.0, 0.0 },
+ { 1, 0, 0, 0, 2, -2.0, 0.0, 1.0, 0.0 },
+ { 3, 0, 0, 0, 0, 2.0, 0.0, 0.0, 0.0 },
+ { 0, 0, 2, 1, 2, 2.0, 0.0, -1.0, 0.0 },
+ { -1, 0, 0, 0, 2, 1.0, 0.0, -1.0, 0.0 },
+ { 1, 0, 0, -4, 0, -1.0, 0.0, 0.0, 0.0 },
+
+ /* 81-90 */
+ { -2, 0, 2, 2, 2, 1.0, 0.0, -1.0, 0.0 },
+ { -1, 0, 2, 4, 2, -2.0, 0.0, 1.0, 0.0 },
+ { 2, 0, 0, -4, 0, -1.0, 0.0, 0.0, 0.0 },
+ { 1, 1, 2, -2, 2, 1.0, 0.0, -1.0, 0.0 },
+ { 1, 0, 2, 2, 1, -1.0, 0.0, 1.0, 0.0 },
+ { -2, 0, 2, 4, 2, -1.0, 0.0, 1.0, 0.0 },
+ { -1, 0, 4, 0, 2, 1.0, 0.0, 0.0, 0.0 },
+ { 1, -1, 0, -2, 0, 1.0, 0.0, 0.0, 0.0 },
+ { 2, 0, 2, -2, 1, 1.0, 0.0, -1.0, 0.0 },
+ { 2, 0, 2, 2, 2, -1.0, 0.0, 0.0, 0.0 },
+
+ /* 91-100 */
+ { 1, 0, 0, 2, 1, -1.0, 0.0, 0.0, 0.0 },
+ { 0, 0, 4, -2, 2, 1.0, 0.0, 0.0, 0.0 },
+ { 3, 0, 2, -2, 2, 1.0, 0.0, 0.0, 0.0 },
+ { 1, 0, 2, -2, 0, -1.0, 0.0, 0.0, 0.0 },
+ { 0, 1, 2, 0, 1, 1.0, 0.0, 0.0, 0.0 },
+ { -1, -1, 0, 2, 1, 1.0, 0.0, 0.0, 0.0 },
+ { 0, 0, -2, 0, 1, -1.0, 0.0, 0.0, 0.0 },
+ { 0, 0, 2, -1, 2, -1.0, 0.0, 0.0, 0.0 },
+ { 0, 1, 0, 2, 0, -1.0, 0.0, 0.0, 0.0 },
+ { 1, 0, -2, -2, 0, -1.0, 0.0, 0.0, 0.0 },
+
+ /* 101-106 */
+ { 0, -1, 2, 0, 1, -1.0, 0.0, 0.0, 0.0 },
+ { 1, 1, 0, -2, 1, -1.0, 0.0, 0.0, 0.0 },
+ { 1, 0, -2, 2, 0, -1.0, 0.0, 0.0, 0.0 },
+ { 2, 0, 0, 2, 0, 1.0, 0.0, 0.0, 0.0 },
+ { 0, 0, 2, 4, 2, -1.0, 0.0, 0.0, 0.0 },
+ { 0, 1, 0, 1, 0, 1.0, 0.0, 0.0, 0.0 }
+ };
+
+/* Number of terms in the series */
+ const int NT = (int) (sizeof x / sizeof x[0]);
+
+/* ------------------------------------------------------------------ */
+
+/* Interval between fundamental epoch J2000.0 and given date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* --------------------- */
+/* Fundamental arguments */
+/* --------------------- */
+
+/* Mean longitude of Moon minus mean longitude of Moon's perigee. */
+ el = eraAnpm(
+ (485866.733 + (715922.633 + (31.310 + 0.064 * t) * t) * t)
+ * ERFA_DAS2R + fmod(1325.0 * t, 1.0) * ERFA_D2PI);
+
+/* Mean longitude of Sun minus mean longitude of Sun's perigee. */
+ elp = eraAnpm(
+ (1287099.804 + (1292581.224 + (-0.577 - 0.012 * t) * t) * t)
+ * ERFA_DAS2R + fmod(99.0 * t, 1.0) * ERFA_D2PI);
+
+/* Mean longitude of Moon minus mean longitude of Moon's node. */
+ f = eraAnpm(
+ (335778.877 + (295263.137 + (-13.257 + 0.011 * t) * t) * t)
+ * ERFA_DAS2R + fmod(1342.0 * t, 1.0) * ERFA_D2PI);
+
+/* Mean elongation of Moon from Sun. */
+ d = eraAnpm(
+ (1072261.307 + (1105601.328 + (-6.891 + 0.019 * t) * t) * t)
+ * ERFA_DAS2R + fmod(1236.0 * t, 1.0) * ERFA_D2PI);
+
+/* Longitude of the mean ascending node of the lunar orbit on the */
+/* ecliptic, measured from the mean equinox of date. */
+ om = eraAnpm(
+ (450160.280 + (-482890.539 + (7.455 + 0.008 * t) * t) * t)
+ * ERFA_DAS2R + fmod(-5.0 * t, 1.0) * ERFA_D2PI);
+
+/* --------------- */
+/* Nutation series */
+/* --------------- */
+
+/* Initialize nutation components. */
+ dp = 0.0;
+ de = 0.0;
+
+/* Sum the nutation terms, ending with the biggest. */
+ for (j = NT-1; j >= 0; j--) {
+
+ /* Form argument for current term. */
+ arg = (double)x[j].nl * el
+ + (double)x[j].nlp * elp
+ + (double)x[j].nf * f
+ + (double)x[j].nd * d
+ + (double)x[j].nom * om;
+
+ /* Accumulate current nutation term. */
+ s = x[j].sp + x[j].spt * t;
+ c = x[j].ce + x[j].cet * t;
+ if (s != 0.0) dp += s * sin(arg);
+ if (c != 0.0) de += c * cos(arg);
+ }
+
+/* Convert results from 0.1 mas units to radians. */
+ *dpsi = dp * U2R;
+ *deps = de * U2R;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/nutm80.c b/src/detail/erfa/nutm80.c
new file mode 100644
index 000000000..6e523b5a0
--- /dev/null
+++ b/src/detail/erfa/nutm80.c
@@ -0,0 +1,128 @@
+#include "erfa.h"
+
+void eraNutm80(double date1, double date2, double rmatn[3][3])
+/*
+** - - - - - - - - - -
+** e r a N u t m 8 0
+** - - - - - - - - - -
+**
+** Form the matrix of nutation for a given date, IAU 1980 model.
+**
+** Given:
+** date1,date2 double TDB date (Note 1)
+**
+** Returned:
+** rmatn double[3][3] nutation matrix
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix operates in the sense V(true) = rmatn * V(mean),
+** where the p-vector V(true) is with respect to the true
+** equatorial triad of date and the p-vector V(mean) is with
+** respect to the mean equatorial triad of date.
+**
+** Called:
+** eraNut80 nutation, IAU 1980
+** eraObl80 mean obliquity, IAU 1980
+** eraNumat form nutation matrix
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double dpsi, deps, epsa;
+
+
+/* Nutation components and mean obliquity. */
+ eraNut80(date1, date2, &dpsi, &deps);
+ epsa = eraObl80(date1, date2);
+
+/* Build the rotation matrix. */
+ eraNumat(epsa, dpsi, deps, rmatn);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/obl06.c b/src/detail/erfa/obl06.c
new file mode 100644
index 000000000..551570d8a
--- /dev/null
+++ b/src/detail/erfa/obl06.c
@@ -0,0 +1,132 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraObl06(double date1, double date2)
+/*
+** - - - - - - - - -
+** e r a O b l 0 6
+** - - - - - - - - -
+**
+** Mean obliquity of the ecliptic, IAU 2006 precession model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned (function value):
+** double obliquity of the ecliptic (radians, Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The result is the angle between the ecliptic and mean equator of
+** date date1+date2.
+**
+** Reference:
+**
+** Hilton, J. et al., 2006, Celest.Mech.Dyn.Astron. 94, 351
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t, eps0;
+
+
+/* Interval between fundamental date J2000.0 and given date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* Mean obliquity. */
+ eps0 = (84381.406 +
+ (-46.836769 +
+ ( -0.0001831 +
+ ( 0.00200340 +
+ ( -0.000000576 +
+ ( -0.0000000434) * t) * t) * t) * t) * t) * ERFA_DAS2R;
+
+ return eps0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/obl80.c b/src/detail/erfa/obl80.c
new file mode 100644
index 000000000..f787f0420
--- /dev/null
+++ b/src/detail/erfa/obl80.c
@@ -0,0 +1,132 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraObl80(double date1, double date2)
+/*
+** - - - - - - - - -
+** e r a O b l 8 0
+** - - - - - - - - -
+**
+** Mean obliquity of the ecliptic, IAU 1980 model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned (function value):
+** double obliquity of the ecliptic (radians, Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The result is the angle between the ecliptic and mean equator of
+** date date1+date2.
+**
+** Reference:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992),
+** Expression 3.222-1 (p114).
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t, eps0;
+
+
+/* Interval between fundamental epoch J2000.0 and given date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* Mean obliquity of date. */
+ eps0 = ERFA_DAS2R * (84381.448 +
+ (-46.8150 +
+ (-0.00059 +
+ ( 0.001813) * t) * t) * t);
+
+ return eps0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/p06e.c b/src/detail/erfa/p06e.c
new file mode 100644
index 000000000..f39cec03d
--- /dev/null
+++ b/src/detail/erfa/p06e.c
@@ -0,0 +1,340 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraP06e(double date1, double date2,
+ double *eps0, double *psia, double *oma, double *bpa,
+ double *bqa, double *pia, double *bpia,
+ double *epsa, double *chia, double *za, double *zetaa,
+ double *thetaa, double *pa,
+ double *gam, double *phi, double *psi)
+/*
+** - - - - - - - -
+** e r a P 0 6 e
+** - - - - - - - -
+**
+** Precession angles, IAU 2006, equinox based.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned (see Note 2):
+** eps0 double epsilon_0
+** psia double psi_A
+** oma double omega_A
+** bpa double P_A
+** bqa double Q_A
+** pia double pi_A
+** bpia double Pi_A
+** epsa double obliquity epsilon_A
+** chia double chi_A
+** za double z_A
+** zetaa double zeta_A
+** thetaa double theta_A
+** pa double p_A
+** gam double F-W angle gamma_J2000
+** phi double F-W angle phi_J2000
+** psi double F-W angle psi_J2000
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) This function returns the set of equinox based angles for the
+** Capitaine et al. "P03" precession theory, adopted by the IAU in
+** 2006. The angles are set out in Table 1 of Hilton et al. (2006):
+**
+** eps0 epsilon_0 obliquity at J2000.0
+** psia psi_A luni-solar precession
+** oma omega_A inclination of equator wrt J2000.0 ecliptic
+** bpa P_A ecliptic pole x, J2000.0 ecliptic triad
+** bqa Q_A ecliptic pole -y, J2000.0 ecliptic triad
+** pia pi_A angle between moving and J2000.0 ecliptics
+** bpia Pi_A longitude of ascending node of the ecliptic
+** epsa epsilon_A obliquity of the ecliptic
+** chia chi_A planetary precession
+** za z_A equatorial precession: -3rd 323 Euler angle
+** zetaa zeta_A equatorial precession: -1st 323 Euler angle
+** thetaa theta_A equatorial precession: 2nd 323 Euler angle
+** pa p_A general precession (n.b. see below)
+** gam gamma_J2000 J2000.0 RA difference of ecliptic poles
+** phi phi_J2000 J2000.0 codeclination of ecliptic pole
+** psi psi_J2000 longitude difference of equator poles, J2000.0
+**
+** The returned values are all radians.
+**
+** Note that the t^5 coefficient in the series for p_A from
+** Capitaine et al. (2003) is incorrectly signed in Hilton et al.
+** (2006).
+**
+** 3) Hilton et al. (2006) Table 1 also contains angles that depend on
+** models distinct from the P03 precession theory itself, namely the
+** IAU 2000A frame bias and nutation. The quoted polynomials are
+** used in other ERFA functions:
+**
+** . eraXy06 contains the polynomial parts of the X and Y series.
+**
+** . eraS06 contains the polynomial part of the s+XY/2 series.
+**
+** . eraPfw06 implements the series for the Fukushima-Williams
+** angles that are with respect to the GCRS pole (i.e. the variants
+** that include frame bias).
+**
+** 4) The IAU resolution stipulated that the choice of parameterization
+** was left to the user, and so an IAU compliant precession
+** implementation can be constructed using various combinations of
+** the angles returned by the present function.
+**
+** 5) The parameterization used by ERFA is the version of the Fukushima-
+** Williams angles that refers directly to the GCRS pole. These
+** angles may be calculated by calling the function eraPfw06. ERFA
+** also supports the direct computation of the CIP GCRS X,Y by
+** series, available by calling eraXy06.
+**
+** 6) The agreement between the different parameterizations is at the
+** 1 microarcsecond level in the present era.
+**
+** 7) When constructing a precession formulation that refers to the GCRS
+** pole rather than the dynamical pole, it may (depending on the
+** choice of angles) be necessary to introduce the frame bias
+** explicitly.
+**
+** 8) It is permissible to re-use the same variable in the returned
+** arguments. The quantities are stored in the stated order.
+**
+** References:
+**
+** Capitaine, N., Wallace, P.T. & Chapront, J., 2003,
+** Astron.Astrophys., 412, 567
+**
+** Hilton, J. et al., 2006, Celest.Mech.Dyn.Astron. 94, 351
+**
+** Called:
+** eraObl06 mean obliquity, IAU 2006
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t;
+
+
+/* Interval between fundamental date J2000.0 and given date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* Obliquity at J2000.0. */
+
+ *eps0 = 84381.406 * ERFA_DAS2R;
+
+/* Luni-solar precession. */
+
+ *psia = ( 5038.481507 +
+ ( -1.0790069 +
+ ( -0.00114045 +
+ ( 0.000132851 +
+ ( -0.0000000951 )
+ * t) * t) * t) * t) * t * ERFA_DAS2R;
+
+/* Inclination of mean equator with respect to the J2000.0 ecliptic. */
+
+ *oma = *eps0 + ( -0.025754 +
+ ( 0.0512623 +
+ ( -0.00772503 +
+ ( -0.000000467 +
+ ( 0.0000003337 )
+ * t) * t) * t) * t) * t * ERFA_DAS2R;
+
+/* Ecliptic pole x, J2000.0 ecliptic triad. */
+
+ *bpa = ( 4.199094 +
+ ( 0.1939873 +
+ ( -0.00022466 +
+ ( -0.000000912 +
+ ( 0.0000000120 )
+ * t) * t) * t) * t) * t * ERFA_DAS2R;
+
+/* Ecliptic pole -y, J2000.0 ecliptic triad. */
+
+ *bqa = ( -46.811015 +
+ ( 0.0510283 +
+ ( 0.00052413 +
+ ( -0.000000646 +
+ ( -0.0000000172 )
+ * t) * t) * t) * t) * t * ERFA_DAS2R;
+
+/* Angle between moving and J2000.0 ecliptics. */
+
+ *pia = ( 46.998973 +
+ ( -0.0334926 +
+ ( -0.00012559 +
+ ( 0.000000113 +
+ ( -0.0000000022 )
+ * t) * t) * t) * t) * t * ERFA_DAS2R;
+
+/* Longitude of ascending node of the moving ecliptic. */
+
+ *bpia = ( 629546.7936 +
+ ( -867.95758 +
+ ( 0.157992 +
+ ( -0.0005371 +
+ ( -0.00004797 +
+ ( 0.000000072 )
+ * t) * t) * t) * t) * t) * ERFA_DAS2R;
+
+/* Mean obliquity of the ecliptic. */
+
+ *epsa = eraObl06(date1, date2);
+
+/* Planetary precession. */
+
+ *chia = ( 10.556403 +
+ ( -2.3814292 +
+ ( -0.00121197 +
+ ( 0.000170663 +
+ ( -0.0000000560 )
+ * t) * t) * t) * t) * t * ERFA_DAS2R;
+
+/* Equatorial precession: minus the third of the 323 Euler angles. */
+
+ *za = ( -2.650545 +
+ ( 2306.077181 +
+ ( 1.0927348 +
+ ( 0.01826837 +
+ ( -0.000028596 +
+ ( -0.0000002904 )
+ * t) * t) * t) * t) * t) * ERFA_DAS2R;
+
+/* Equatorial precession: minus the first of the 323 Euler angles. */
+
+ *zetaa = ( 2.650545 +
+ ( 2306.083227 +
+ ( 0.2988499 +
+ ( 0.01801828 +
+ ( -0.000005971 +
+ ( -0.0000003173 )
+ * t) * t) * t) * t) * t) * ERFA_DAS2R;
+
+/* Equatorial precession: second of the 323 Euler angles. */
+
+ *thetaa = ( 2004.191903 +
+ ( -0.4294934 +
+ ( -0.04182264 +
+ ( -0.000007089 +
+ ( -0.0000001274 )
+ * t) * t) * t) * t) * t * ERFA_DAS2R;
+
+/* General precession. */
+
+ *pa = ( 5028.796195 +
+ ( 1.1054348 +
+ ( 0.00007964 +
+ ( -0.000023857 +
+ ( -0.0000000383 )
+ * t) * t) * t) * t) * t * ERFA_DAS2R;
+
+/* Fukushima-Williams angles for precession. */
+
+ *gam = ( 10.556403 +
+ ( 0.4932044 +
+ ( -0.00031238 +
+ ( -0.000002788 +
+ ( 0.0000000260 )
+ * t) * t) * t) * t) * t * ERFA_DAS2R;
+
+ *phi = *eps0 + ( -46.811015 +
+ ( 0.0511269 +
+ ( 0.00053289 +
+ ( -0.000000440 +
+ ( -0.0000000176 )
+ * t) * t) * t) * t) * t * ERFA_DAS2R;
+
+ *psi = ( 5038.481507 +
+ ( 1.5584176 +
+ ( -0.00018522 +
+ ( -0.000026452 +
+ ( -0.0000000148 )
+ * t) * t) * t) * t) * t * ERFA_DAS2R;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/p2pv.c b/src/detail/erfa/p2pv.c
new file mode 100644
index 000000000..cc2265457
--- /dev/null
+++ b/src/detail/erfa/p2pv.c
@@ -0,0 +1,94 @@
+#include "erfa.h"
+
+void eraP2pv(double p[3], double pv[2][3])
+/*
+** - - - - - - - -
+** e r a P 2 p v
+** - - - - - - - -
+**
+** Extend a p-vector to a pv-vector by appending a zero velocity.
+**
+** Given:
+** p double[3] p-vector
+**
+** Returned:
+** pv double[2][3] pv-vector
+**
+** Called:
+** eraCp copy p-vector
+** eraZp zero p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ eraCp(p, pv[0]);
+ eraZp(pv[1]);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/p2s.c b/src/detail/erfa/p2s.c
new file mode 100644
index 000000000..d80293629
--- /dev/null
+++ b/src/detail/erfa/p2s.c
@@ -0,0 +1,102 @@
+#include "erfa.h"
+
+void eraP2s(double p[3], double *theta, double *phi, double *r)
+/*
+** - - - - - - -
+** e r a P 2 s
+** - - - - - - -
+**
+** P-vector to spherical polar coordinates.
+**
+** Given:
+** p double[3] p-vector
+**
+** Returned:
+** theta double longitude angle (radians)
+** phi double latitude angle (radians)
+** r double radial distance
+**
+** Notes:
+**
+** 1) If P is null, zero theta, phi and r are returned.
+**
+** 2) At either pole, zero theta is returned.
+**
+** Called:
+** eraC2s p-vector to spherical
+** eraPm modulus of p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ eraC2s(p, theta, phi);
+ *r = eraPm(p);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pap.c b/src/detail/erfa/pap.c
new file mode 100644
index 000000000..014044a6e
--- /dev/null
+++ b/src/detail/erfa/pap.c
@@ -0,0 +1,152 @@
+#include "erfa.h"
+
+double eraPap(double a[3], double b[3])
+/*
+** - - - - - - -
+** e r a P a p
+** - - - - - - -
+**
+** Position-angle from two p-vectors.
+**
+** Given:
+** a double[3] direction of reference point
+** b double[3] direction of point whose PA is required
+**
+** Returned (function value):
+** double position angle of b with respect to a (radians)
+**
+** Notes:
+**
+** 1) The result is the position angle, in radians, of direction b with
+** respect to direction a. It is in the range -pi to +pi. The
+** sense is such that if b is a small distance "north" of a the
+** position angle is approximately zero, and if b is a small
+** distance "east" of a the position angle is approximately +pi/2.
+**
+** 2) The vectors a and b need not be of unit length.
+**
+** 3) Zero is returned if the two directions are the same or if either
+** vector is null.
+**
+** 4) If vector a is at a pole, the result is ill-defined.
+**
+** Called:
+** eraPn decompose p-vector into modulus and direction
+** eraPm modulus of p-vector
+** eraPxp vector product of two p-vectors
+** eraPmp p-vector minus p-vector
+** eraPdp scalar product of two p-vectors
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double am, au[3], bm, st, ct, xa, ya, za, eta[3], xi[3], a2b[3], pa;
+
+
+/* Modulus and direction of the a vector. */
+ eraPn(a, &am, au);
+
+/* Modulus of the b vector. */
+ bm = eraPm(b);
+
+/* Deal with the case of a null vector. */
+ if ((am == 0.0) || (bm == 0.0)) {
+ st = 0.0;
+ ct = 1.0;
+ } else {
+
+ /* The "north" axis tangential from a (arbitrary length). */
+ xa = a[0];
+ ya = a[1];
+ za = a[2];
+ eta[0] = -xa * za;
+ eta[1] = -ya * za;
+ eta[2] = xa*xa + ya*ya;
+
+ /* The "east" axis tangential from a (same length). */
+ eraPxp(eta, au, xi);
+
+ /* The vector from a to b. */
+ eraPmp(b, a, a2b);
+
+ /* Resolve into components along the north and east axes. */
+ st = eraPdp(a2b, xi);
+ ct = eraPdp(a2b, eta);
+
+ /* Deal with degenerate cases. */
+ if ((st == 0.0) && (ct == 0.0)) ct = 1.0;
+ }
+
+/* Position angle. */
+ pa = atan2(st, ct);
+
+ return pa;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pas.c b/src/detail/erfa/pas.c
new file mode 100644
index 000000000..296078262
--- /dev/null
+++ b/src/detail/erfa/pas.c
@@ -0,0 +1,109 @@
+#include "erfa.h"
+
+double eraPas(double al, double ap, double bl, double bp)
+/*
+** - - - - - - -
+** e r a P a s
+** - - - - - - -
+**
+** Position-angle from spherical coordinates.
+**
+** Given:
+** al double longitude of point A (e.g. RA) in radians
+** ap double latitude of point A (e.g. Dec) in radians
+** bl double longitude of point B
+** bp double latitude of point B
+**
+** Returned (function value):
+** double position angle of B with respect to A
+**
+** Notes:
+**
+** 1) The result is the bearing (position angle), in radians, of point
+** B with respect to point A. It is in the range -pi to +pi. The
+** sense is such that if B is a small distance "east" of point A,
+** the bearing is approximately +pi/2.
+**
+** 2) Zero is returned if the two points are coincident.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double dl, x, y, pa;
+
+
+ dl = bl - al;
+ y = sin(dl) * cos(bp);
+ x = sin(bp) * cos(ap) - cos(bp) * sin(ap) * cos(dl);
+ pa = ((x != 0.0) || (y != 0.0)) ? atan2(y, x) : 0.0;
+
+ return pa;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pb06.c b/src/detail/erfa/pb06.c
new file mode 100644
index 000000000..079b0149f
--- /dev/null
+++ b/src/detail/erfa/pb06.c
@@ -0,0 +1,163 @@
+#include "erfa.h"
+
+void eraPb06(double date1, double date2,
+ double *bzeta, double *bz, double *btheta)
+/*
+** - - - - - - - -
+** e r a P b 0 6
+** - - - - - - - -
+**
+** This function forms three Euler angles which implement general
+** precession from epoch J2000.0, using the IAU 2006 model. Frame
+** bias (the offset between ICRS and mean J2000.0) is included.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** bzeta double 1st rotation: radians cw around z
+** bz double 3rd rotation: radians cw around z
+** btheta double 2nd rotation: radians ccw around y
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The traditional accumulated precession angles zeta_A, z_A,
+** theta_A cannot be obtained in the usual way, namely through
+** polynomial expressions, because of the frame bias. The latter
+** means that two of the angles undergo rapid changes near this
+** date. They are instead the results of decomposing the
+** precession-bias matrix obtained by using the Fukushima-Williams
+** method, which does not suffer from the problem. The
+** decomposition returns values which can be used in the
+** conventional formulation and which include frame bias.
+**
+** 3) The three angles are returned in the conventional order, which
+** is not the same as the order of the corresponding Euler
+** rotations. The precession-bias matrix is
+** R_3(-z) x R_2(+theta) x R_3(-zeta).
+**
+** 4) Should zeta_A, z_A, theta_A angles be required that do not
+** contain frame bias, they are available by calling the ERFA
+** function eraP06e.
+**
+** Called:
+** eraPmat06 PB matrix, IAU 2006
+** eraRz rotate around Z-axis
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double r[3][3], y, x;
+
+
+/* Precession matrix via Fukushima-Williams angles. */
+ eraPmat06(date1, date2, r);
+
+/* Solve for z, choosing the +/- pi alternative. */
+ y = r[1][2];
+ x = -r[0][2];
+ if ( x < 0.0 ) {
+ y = -y;
+ x = -x;
+ }
+ *bz = ( x != 0.0 || y != 0.0 ) ? - atan2(y,x) : 0.0;
+
+/* Derotate it out of the matrix. */
+ eraRz ( *bz, r );
+
+/* Solve for the remaining two angles. */
+ y = r[0][2];
+ x = r[2][2];
+ *btheta = ( x != 0.0 || y != 0.0 ) ? - atan2(y,x) : 0.0;
+
+ y = -r[1][0];
+ x = r[1][1];
+ *bzeta = ( x != 0.0 || y != 0.0 ) ? - atan2(y,x) : 0.0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pdp.c b/src/detail/erfa/pdp.c
new file mode 100644
index 000000000..10c7958de
--- /dev/null
+++ b/src/detail/erfa/pdp.c
@@ -0,0 +1,97 @@
+#include "erfa.h"
+
+double eraPdp(double a[3], double b[3])
+/*
+** - - - - - - -
+** e r a P d p
+** - - - - - - -
+**
+** p-vector inner (=scalar=dot) product.
+**
+** Given:
+** a double[3] first p-vector
+** b double[3] second p-vector
+**
+** Returned (function value):
+** double a . b
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double w;
+
+
+ w = a[0] * b[0]
+ + a[1] * b[1]
+ + a[2] * b[2];
+
+ return w;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pfw06.c b/src/detail/erfa/pfw06.c
new file mode 100644
index 000000000..9aabd8aee
--- /dev/null
+++ b/src/detail/erfa/pfw06.c
@@ -0,0 +1,177 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraPfw06(double date1, double date2,
+ double *gamb, double *phib, double *psib, double *epsa)
+/*
+** - - - - - - - - -
+** e r a P f w 0 6
+** - - - - - - - - -
+**
+** Precession angles, IAU 2006 (Fukushima-Williams 4-angle formulation).
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** gamb double F-W angle gamma_bar (radians)
+** phib double F-W angle phi_bar (radians)
+** psib double F-W angle psi_bar (radians)
+** epsa double F-W angle epsilon_A (radians)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) Naming the following points:
+**
+** e = J2000.0 ecliptic pole,
+** p = GCRS pole,
+** E = mean ecliptic pole of date,
+** and P = mean pole of date,
+**
+** the four Fukushima-Williams angles are as follows:
+**
+** gamb = gamma_bar = epE
+** phib = phi_bar = pE
+** psib = psi_bar = pEP
+** epsa = epsilon_A = EP
+**
+** 3) The matrix representing the combined effects of frame bias and
+** precession is:
+**
+** PxB = R_1(-epsa).R_3(-psib).R_1(phib).R_3(gamb)
+**
+** 4) The matrix representing the combined effects of frame bias,
+** precession and nutation is simply:
+**
+** NxPxB = R_1(-epsa-dE).R_3(-psib-dP).R_1(phib).R_3(gamb)
+**
+** where dP and dE are the nutation components with respect to the
+** ecliptic of date.
+**
+** Reference:
+**
+** Hilton, J. et al., 2006, Celest.Mech.Dyn.Astron. 94, 351
+**
+** Called:
+** eraObl06 mean obliquity, IAU 2006
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t;
+
+
+/* Interval between fundamental date J2000.0 and given date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* P03 bias+precession angles. */
+ *gamb = ( -0.052928 +
+ ( 10.556378 +
+ ( 0.4932044 +
+ ( -0.00031238 +
+ ( -0.000002788 +
+ ( 0.0000000260 )
+ * t) * t) * t) * t) * t) * ERFA_DAS2R;
+ *phib = ( 84381.412819 +
+ ( -46.811016 +
+ ( 0.0511268 +
+ ( 0.00053289 +
+ ( -0.000000440 +
+ ( -0.0000000176 )
+ * t) * t) * t) * t) * t) * ERFA_DAS2R;
+ *psib = ( -0.041775 +
+ ( 5038.481484 +
+ ( 1.5584175 +
+ ( -0.00018522 +
+ ( -0.000026452 +
+ ( -0.0000000148 )
+ * t) * t) * t) * t) * t) * ERFA_DAS2R;
+ *epsa = eraObl06(date1, date2);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/plan94.c b/src/detail/erfa/plan94.c
new file mode 100644
index 000000000..0ee283035
--- /dev/null
+++ b/src/detail/erfa/plan94.c
@@ -0,0 +1,530 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraPlan94(double date1, double date2, int np, double pv[2][3])
+/*
+** - - - - - - - - - -
+** e r a P l a n 9 4
+** - - - - - - - - - -
+**
+** Approximate heliocentric position and velocity of a nominated
+** planet: Mercury, Venus, EMB, Mars, Jupiter, Saturn, Uranus or
+** Neptune (but not the Earth itself).
+**
+** n.b. Not IAU-endorsed and without canonical status.
+**
+** Given:
+** date1 double TDB date part A (Note 1)
+** date2 double TDB date part B (Note 1)
+** np int planet (1=Mercury, 2=Venus, 3=EMB, 4=Mars,
+** 5=Jupiter, 6=Saturn, 7=Uranus, 8=Neptune)
+**
+** Returned (argument):
+** pv double[2][3] planet p,v (heliocentric, J2000.0, au,au/d)
+**
+** Returned (function value):
+** int status: -1 = illegal NP (outside 1-8)
+** 0 = OK
+** +1 = warning: year outside 1000-3000
+** +2 = warning: failed to converge
+**
+** Notes:
+**
+** 1) The date date1+date2 is in the TDB time scale (in practice TT can
+** be used) and is a Julian Date, apportioned in any convenient way
+** between the two arguments. For example, JD(TDB)=2450123.7 could
+** be expressed in any of these ways, among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** resolution. The MJD method and the date & time methods are both
+** good compromises between resolution and convenience. The limited
+** accuracy of the present algorithm is such that any of the methods
+** is satisfactory.
+**
+** 2) If an np value outside the range 1-8 is supplied, an error status
+** (function value -1) is returned and the pv vector set to zeroes.
+**
+** 3) For np=3 the result is for the Earth-Moon barycenter (EMB). To
+** obtain the heliocentric position and velocity of the Earth, use
+** instead the ERFA function eraEpv00.
+**
+** 4) On successful return, the array pv contains the following:
+**
+** pv[0][0] x }
+** pv[0][1] y } heliocentric position, au
+** pv[0][2] z }
+**
+** pv[1][0] xdot }
+** pv[1][1] ydot } heliocentric velocity, au/d
+** pv[1][2] zdot }
+**
+** The reference frame is equatorial and is with respect to the
+** mean equator and equinox of epoch J2000.0.
+**
+** 5) The algorithm is due to J.L. Simon, P. Bretagnon, J. Chapront,
+** M. Chapront-Touze, G. Francou and J. Laskar (Bureau des
+** Longitudes, Paris, France). From comparisons with JPL
+** ephemeris DE102, they quote the following maximum errors
+** over the interval 1800-2050:
+**
+** L (arcsec) B (arcsec) R (km)
+**
+** Mercury 4 1 300
+** Venus 5 1 800
+** EMB 6 1 1000
+** Mars 17 1 7700
+** Jupiter 71 5 76000
+** Saturn 81 13 267000
+** Uranus 86 7 712000
+** Neptune 11 1 253000
+**
+** Over the interval 1000-3000, they report that the accuracy is no
+** worse than 1.5 times that over 1800-2050. Outside 1000-3000 the
+** accuracy declines.
+**
+** Comparisons of the present function with the JPL DE200 ephemeris
+** give the following RMS errors over the interval 1960-2025:
+**
+** position (km) velocity (m/s)
+**
+** Mercury 334 0.437
+** Venus 1060 0.855
+** EMB 2010 0.815
+** Mars 7690 1.98
+** Jupiter 71700 7.70
+** Saturn 199000 19.4
+** Uranus 564000 16.4
+** Neptune 158000 14.4
+**
+** Comparisons against DE200 over the interval 1800-2100 gave the
+** following maximum absolute differences (the results using
+** DE406 were essentially the same):
+**
+** L (arcsec) B (arcsec) R (km) Rdot (m/s)
+**
+** Mercury 7 1 500 0.7
+** Venus 7 1 1100 0.9
+** EMB 9 1 1300 1.0
+** Mars 26 1 9000 2.5
+** Jupiter 78 6 82000 8.2
+** Saturn 87 14 263000 24.6
+** Uranus 86 7 661000 27.4
+** Neptune 11 2 248000 21.4
+**
+** 6) The present ERFA re-implementation of the original Simon et al.
+** Fortran code differs from the original in the following respects:
+**
+** * C instead of Fortran.
+**
+** * The date is supplied in two parts.
+**
+** * The result is returned only in equatorial Cartesian form;
+** the ecliptic longitude, latitude and radius vector are not
+** returned.
+**
+** * The result is in the J2000.0 equatorial frame, not ecliptic.
+**
+** * More is done in-line: there are fewer calls to subroutines.
+**
+** * Different error/warning status values are used.
+**
+** * A different Kepler's-equation-solver is used (avoiding
+** use of double precision complex).
+**
+** * Polynomials in t are nested to minimize rounding errors.
+**
+** * Explicit double constants are used to avoid mixed-mode
+** expressions.
+**
+** None of the above changes affects the result significantly.
+**
+** 7) The returned status indicates the most serious condition
+** encountered during execution of the function. Illegal np is
+** considered the most serious, overriding failure to converge,
+** which in turn takes precedence over the remote date warning.
+**
+** Called:
+** eraAnpm normalize angle into range +/- pi
+**
+** Reference: Simon, J.L, Bretagnon, P., Chapront, J.,
+** Chapront-Touze, M., Francou, G., and Laskar, J.,
+** Astron.Astrophys., 282, 663 (1994).
+**
+** This revision: 2023 May 5
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Gaussian constant */
+ static const double GK = 0.017202098950;
+
+/* Sin and cos of J2000.0 mean obliquity (IAU 1976) */
+ static const double SINEPS = 0.3977771559319137;
+ static const double COSEPS = 0.9174820620691818;
+
+/* Maximum number of iterations allowed to solve Kepler's equation */
+ static const int KMAX = 10;
+
+ int jstat, i, k;
+ double t, da, dl, de, dp, di, dom, dmu, arga, argl, am,
+ ae, dae, ae2, at, r, v, si2, xq, xp, tl, xsw,
+ xcw, xm2, xf, ci2, xms, xmc, xpxq2, x, y, z;
+
+/* Planetary inverse masses */
+ static const double amas[] = { 6023600.0, /* Mercury */
+ 408523.5, /* Venus */
+ 328900.5, /* EMB */
+ 3098710.0, /* Mars */
+ 1047.355, /* Jupiter */
+ 3498.5, /* Saturn */
+ 22869.0, /* Uranus */
+ 19314.0 }; /* Neptune */
+
+/*
+** Tables giving the mean Keplerian elements, limited to t^2 terms:
+**
+** a semi-major axis (au)
+** dlm mean longitude (degree and arcsecond)
+** e eccentricity
+** pi longitude of the perihelion (degree and arcsecond)
+** dinc inclination (degree and arcsecond)
+** omega longitude of the ascending node (degree and arcsecond)
+*/
+
+ static const double a[][3] = {
+ { 0.3870983098, 0.0, 0.0 }, /* Mercury */
+ { 0.7233298200, 0.0, 0.0 }, /* Venus */
+ { 1.0000010178, 0.0, 0.0 }, /* EMB */
+ { 1.5236793419, 3e-10, 0.0 }, /* Mars */
+ { 5.2026032092, 19132e-10, -39e-10 }, /* Jupiter */
+ { 9.5549091915, -0.0000213896, 444e-10 }, /* Saturn */
+ { 19.2184460618, -3716e-10, 979e-10 }, /* Uranus */
+ { 30.1103868694, -16635e-10, 686e-10 } /* Neptune */
+ };
+
+ static const double dlm[][3] = {
+ { 252.25090552, 5381016286.88982, -1.92789 },
+ { 181.97980085, 2106641364.33548, 0.59381 },
+ { 100.46645683, 1295977422.83429, -2.04411 },
+ { 355.43299958, 689050774.93988, 0.94264 },
+ { 34.35151874, 109256603.77991, -30.60378 },
+ { 50.07744430, 43996098.55732, 75.61614 },
+ { 314.05500511, 15424811.93933, -1.75083 },
+ { 304.34866548, 7865503.20744, 0.21103 }
+ };
+
+ static const double e[][3] = {
+ { 0.2056317526, 0.0002040653, -28349e-10 },
+ { 0.0067719164, -0.0004776521, 98127e-10 },
+ { 0.0167086342, -0.0004203654, -0.0000126734 },
+ { 0.0934006477, 0.0009048438, -80641e-10 },
+ { 0.0484979255, 0.0016322542, -0.0000471366 },
+ { 0.0555481426, -0.0034664062, -0.0000643639 },
+ { 0.0463812221, -0.0002729293, 0.0000078913 },
+ { 0.0094557470, 0.0000603263, 0.0 }
+ };
+
+ static const double pi[][3] = {
+ { 77.45611904, 5719.11590, -4.83016 },
+ { 131.56370300, 175.48640, -498.48184 },
+ { 102.93734808, 11612.35290, 53.27577 },
+ { 336.06023395, 15980.45908, -62.32800 },
+ { 14.33120687, 7758.75163, 259.95938 },
+ { 93.05723748, 20395.49439, 190.25952 },
+ { 173.00529106, 3215.56238, -34.09288 },
+ { 48.12027554, 1050.71912, 27.39717 }
+ };
+
+ static const double dinc[][3] = {
+ { 7.00498625, -214.25629, 0.28977 },
+ { 3.39466189, -30.84437, -11.67836 },
+ { 0.0, 469.97289, -3.35053 },
+ { 1.84972648, -293.31722, -8.11830 },
+ { 1.30326698, -71.55890, 11.95297 },
+ { 2.48887878, 91.85195, -17.66225 },
+ { 0.77319689, -60.72723, 1.25759 },
+ { 1.76995259, 8.12333, 0.08135 }
+ };
+
+ static const double omega[][3] = {
+ { 48.33089304, -4515.21727, -31.79892 },
+ { 76.67992019, -10008.48154, -51.32614 },
+ { 174.87317577, -8679.27034, 15.34191 },
+ { 49.55809321, -10620.90088, -230.57416 },
+ { 100.46440702, 6362.03561, 326.52178 },
+ { 113.66550252, -9240.19942, -66.23743 },
+ { 74.00595701, 2669.15033, 145.93964 },
+ { 131.78405702, -221.94322, -0.78728 }
+ };
+
+/* Tables for trigonometric terms to be added to the mean elements of */
+/* the semi-major axes */
+
+ static const double kp[][9] = {
+ { 69613, 75645, 88306, 59899, 15746, 71087, 142173, 3086, 0 },
+ { 21863, 32794, 26934, 10931, 26250, 43725, 53867, 28939, 0 },
+ { 16002, 21863, 32004, 10931, 14529, 16368, 15318, 32794, 0 },
+ { 6345, 7818, 15636, 7077, 8184, 14163, 1107, 4872, 0 },
+ { 1760, 1454, 1167, 880, 287, 2640, 19, 2047, 1454 },
+ { 574, 0, 880, 287, 19, 1760, 1167, 306, 574 },
+ { 204, 0, 177, 1265, 4, 385, 200, 208, 204 },
+ { 0, 102, 106, 4, 98, 1367, 487, 204, 0 }
+ };
+
+ static const double ca[][9] = {
+ { 4, -13, 11, -9, -9, -3, -1, 4, 0 },
+ { -156, 59, -42, 6, 19, -20, -10, -12, 0 },
+ { 64, -152, 62, -8, 32, -41, 19, -11, 0 },
+ { 124, 621, -145, 208, 54, -57, 30, 15, 0 },
+ { -23437, -2634, 6601, 6259, -1507,-1821, 2620, -2115, -1489 },
+ { 62911,-119919, 79336,17814,-24241,12068, 8306, -4893, 8902 },
+ { 389061,-262125,-44088, 8387,-22976,-2093, -615, -9720, 6633 },
+ { -412235,-157046,-31430,37817, -9740, -13, -7449, 9644, 0 }
+ };
+
+ static const double sa[][9] = {
+ { -29, -1, 9, 6, -6, 5, 4, 0, 0 },
+ { -48, -125, -26, -37, 18, -13, -20, -2, 0 },
+ { -150, -46, 68, 54, 14, 24, -28, 22, 0 },
+ { -621, 532, -694, -20, 192, -94, 71, -73, 0 },
+ { -14614,-19828, -5869, 1881, -4372, -2255, 782, 930, 913 },
+ { 139737, 0, 24667, 51123, -5102, 7429, -4095, -1976, -9566 },
+ { -138081, 0, 37205,-49039,-41901,-33872,-27037,-12474, 18797 },
+ { 0, 28492,133236, 69654, 52322,-49577,-26430, -3593, 0 }
+ };
+
+/* Tables giving the trigonometric terms to be added to the mean */
+/* elements of the mean longitudes */
+
+ static const double kq[][10] = {
+ { 3086,15746,69613,59899,75645,88306, 12661, 2658, 0, 0 },
+ { 21863,32794,10931, 73, 4387,26934, 1473, 2157, 0, 0 },
+ { 10,16002,21863,10931, 1473,32004, 4387, 73, 0, 0 },
+ { 10, 6345, 7818, 1107,15636, 7077, 8184, 532, 10, 0 },
+ { 19, 1760, 1454, 287, 1167, 880, 574, 2640, 19, 1454 },
+ { 19, 574, 287, 306, 1760, 12, 31, 38, 19, 574 },
+ { 4, 204, 177, 8, 31, 200, 1265, 102, 4, 204 },
+ { 4, 102, 106, 8, 98, 1367, 487, 204, 4, 102 }
+ };
+
+ static const double cl[][10] = {
+ { 21, -95, -157, 41, -5, 42, 23, 30, 0, 0 },
+ { -160, -313, -235, 60, -74, -76, -27, 34, 0, 0 },
+ { -325, -322, -79, 232, -52, 97, 55, -41, 0, 0 },
+ { 2268, -979, 802, 602, -668, -33, 345, 201, -55, 0 },
+ { 7610, -4997,-7689,-5841,-2617, 1115,-748,-607, 6074, 354 },
+ { -18549, 30125,20012, -730, 824, 23,1289,-352, -14767, -2062 },
+ { -135245,-14594, 4197,-4030,-5630,-2898,2540,-306, 2939, 1986 },
+ { 89948, 2103, 8963, 2695, 3682, 1648, 866,-154, -1963, -283 }
+ };
+
+ static const double sl[][10] = {
+ { -342, 136, -23, 62, 66, -52, -33, 17, 0, 0 },
+ { 524, -149, -35, 117, 151, 122, -71, -62, 0, 0 },
+ { -105, -137, 258, 35, -116, -88,-112, -80, 0, 0 },
+ { 854, -205, -936, -240, 140, -341, -97, -232, 536, 0 },
+ { -56980, 8016, 1012, 1448,-3024,-3710, 318, 503, 3767, 577 },
+ { 138606,-13478,-4964, 1441,-1319,-1482, 427, 1236, -9167, -1918 },
+ { 71234,-41116, 5334,-4935,-1848, 66, 434, -1748, 3780, -701 },
+ { -47645, 11647, 2166, 3194, 679, 0,-244, -419, -2531, 48 }
+ };
+
+/* ------------------------------------------------------------------ */
+
+/* Validate the planet number. */
+ if ((np < 1) || (np > 8)) {
+ jstat = -1;
+
+ /* Reset the result in case of failure. */
+ for (k = 0; k < 2; k++) {
+ for (i = 0; i < 3; i++) {
+ pv[k][i] = 0.0;
+ }
+ }
+
+ } else {
+
+ /* Decrement the planet number to start at zero. */
+ np--;
+
+ /* Time: Julian millennia since J2000.0. */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJM;
+
+ /* OK status unless remote date. */
+ jstat = fabs(t) <= 1.0 ? 0 : 1;
+
+ /* Compute the mean elements. */
+ da = a[np][0] +
+ (a[np][1] +
+ a[np][2] * t) * t;
+ dl = (3600.0 * dlm[np][0] +
+ (dlm[np][1] +
+ dlm[np][2] * t) * t) * ERFA_DAS2R;
+ de = e[np][0] +
+ ( e[np][1] +
+ e[np][2] * t) * t;
+ dp = eraAnpm((3600.0 * pi[np][0] +
+ (pi[np][1] +
+ pi[np][2] * t) * t) * ERFA_DAS2R);
+ di = (3600.0 * dinc[np][0] +
+ (dinc[np][1] +
+ dinc[np][2] * t) * t) * ERFA_DAS2R;
+ dom = eraAnpm((3600.0 * omega[np][0] +
+ (omega[np][1] +
+ omega[np][2] * t) * t) * ERFA_DAS2R);
+
+ /* Apply the trigonometric terms. */
+ dmu = 0.35953620 * t;
+ for (k = 0; k < 8; k++) {
+ arga = kp[np][k] * dmu;
+ argl = kq[np][k] * dmu;
+ da += (ca[np][k] * cos(arga) +
+ sa[np][k] * sin(arga)) * 1e-7;
+ dl += (cl[np][k] * cos(argl) +
+ sl[np][k] * sin(argl)) * 1e-7;
+ }
+ arga = kp[np][8] * dmu;
+ da += t * (ca[np][8] * cos(arga) +
+ sa[np][8] * sin(arga)) * 1e-7;
+ for (k = 8; k < 10; k++) {
+ argl = kq[np][k] * dmu;
+ dl += t * (cl[np][k] * cos(argl) +
+ sl[np][k] * sin(argl)) * 1e-7;
+ }
+ dl = fmod(dl, ERFA_D2PI);
+
+ /* Iterative soln. of Kepler's equation to get eccentric anomaly. */
+ am = dl - dp;
+ ae = am + de * sin(am);
+ k = 0;
+ dae = 1.0;
+ while (k < KMAX && fabs(dae) > 1e-12) {
+ dae = (am - ae + de * sin(ae)) / (1.0 - de * cos(ae));
+ ae += dae;
+ k++;
+ if (k == KMAX-1) jstat = 2;
+ }
+
+ /* True anomaly. */
+ ae2 = ae / 2.0;
+ at = 2.0 * atan2(sqrt((1.0 + de) / (1.0 - de)) * sin(ae2),
+ cos(ae2));
+
+ /* Distance (au) and speed (radians per day). */
+ r = da * (1.0 - de * cos(ae));
+ v = GK * sqrt((1.0 + 1.0 / amas[np]) / (da * da * da));
+
+ si2 = sin(di / 2.0);
+ xq = si2 * cos(dom);
+ xp = si2 * sin(dom);
+ tl = at + dp;
+ xsw = sin(tl);
+ xcw = cos(tl);
+ xm2 = 2.0 * (xp * xcw - xq * xsw);
+ xf = da / sqrt(1 - de * de);
+ ci2 = cos(di / 2.0);
+ xms = (de * sin(dp) + xsw) * xf;
+ xmc = (de * cos(dp) + xcw) * xf;
+ xpxq2 = 2 * xp * xq;
+
+ /* Position (J2000.0 ecliptic x,y,z in au). */
+ x = r * (xcw - xm2 * xp);
+ y = r * (xsw + xm2 * xq);
+ z = r * (-xm2 * ci2);
+
+ /* Rotate to equatorial. */
+ pv[0][0] = x;
+ pv[0][1] = y * COSEPS - z * SINEPS;
+ pv[0][2] = y * SINEPS + z * COSEPS;
+
+ /* Velocity (J2000.0 ecliptic xdot,ydot,zdot in au/d). */
+ x = v * (( -1.0 + 2.0 * xp * xp) * xms + xpxq2 * xmc);
+ y = v * (( 1.0 - 2.0 * xq * xq) * xmc - xpxq2 * xms);
+ z = v * (2.0 * ci2 * (xp * xms + xq * xmc));
+
+ /* Rotate to equatorial. */
+ pv[1][0] = x;
+ pv[1][1] = y * COSEPS - z * SINEPS;
+ pv[1][2] = y * SINEPS + z * COSEPS;
+
+ }
+
+/* Return the status. */
+ return jstat;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pm.c b/src/detail/erfa/pm.c
new file mode 100644
index 000000000..980108b56
--- /dev/null
+++ b/src/detail/erfa/pm.c
@@ -0,0 +1,89 @@
+#include "erfa.h"
+
+double eraPm(double p[3])
+/*
+** - - - - - -
+** e r a P m
+** - - - - - -
+**
+** Modulus of p-vector.
+**
+** Given:
+** p double[3] p-vector
+**
+** Returned (function value):
+** double modulus
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ return sqrt( p[0]*p[0] + p[1]*p[1] + p[2]*p[2] );
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pmat00.c b/src/detail/erfa/pmat00.c
new file mode 100644
index 000000000..86675e537
--- /dev/null
+++ b/src/detail/erfa/pmat00.c
@@ -0,0 +1,129 @@
+#include "erfa.h"
+
+void eraPmat00(double date1, double date2, double rbp[3][3])
+/*
+** - - - - - - - - - -
+** e r a P m a t 0 0
+** - - - - - - - - - -
+**
+** Precession matrix (including frame bias) from GCRS to a specified
+** date, IAU 2000 model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** rbp double[3][3] bias-precession matrix (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix operates in the sense V(date) = rbp * V(GCRS), where
+** the p-vector V(GCRS) is with respect to the Geocentric Celestial
+** Reference System (IAU, 2000) and the p-vector V(date) is with
+** respect to the mean equatorial triad of the given date.
+**
+** Called:
+** eraBp00 frame bias and precession matrices, IAU 2000
+**
+** Reference:
+**
+** IAU: Trans. International Astronomical Union, Vol. XXIVB; Proc.
+** 24th General Assembly, Manchester, UK. Resolutions B1.3, B1.6.
+** (2000)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rb[3][3], rp[3][3];
+
+
+/* Obtain the required matrix (discarding others). */
+ eraBp00(date1, date2, rb, rp, rbp);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pmat06.c b/src/detail/erfa/pmat06.c
new file mode 100644
index 000000000..ce157ee33
--- /dev/null
+++ b/src/detail/erfa/pmat06.c
@@ -0,0 +1,137 @@
+#include "erfa.h"
+
+void eraPmat06(double date1, double date2, double rbp[3][3])
+/*
+** - - - - - - - - - -
+** e r a P m a t 0 6
+** - - - - - - - - - -
+**
+** Precession matrix (including frame bias) from GCRS to a specified
+** date, IAU 2006 model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** rbp double[3][3] bias-precession matrix (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix operates in the sense V(date) = rbp * V(GCRS), where
+** the p-vector V(GCRS) is with respect to the Geocentric Celestial
+** Reference System (IAU, 2000) and the p-vector V(date) is with
+** respect to the mean equatorial triad of the given date.
+**
+** Called:
+** eraPfw06 bias-precession F-W angles, IAU 2006
+** eraFw2m F-W angles to r-matrix
+**
+** References:
+**
+** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855
+**
+** IAU: Trans. International Astronomical Union, Vol. XXIVB; Proc.
+** 24th General Assembly, Manchester, UK. Resolutions B1.3, B1.6.
+** (2000)
+**
+** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double gamb, phib, psib, epsa;
+
+
+/* Bias-precession Fukushima-Williams angles. */
+ eraPfw06(date1, date2, &gamb, &phib, &psib, &epsa);
+
+/* Form the matrix. */
+ eraFw2m(gamb, phib, psib, epsa, rbp);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pmat76.c b/src/detail/erfa/pmat76.c
new file mode 100644
index 000000000..cd9c1c469
--- /dev/null
+++ b/src/detail/erfa/pmat76.c
@@ -0,0 +1,153 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraPmat76(double date1, double date2, double rmatp[3][3])
+/*
+** - - - - - - - - - -
+** e r a P m a t 7 6
+** - - - - - - - - - -
+**
+** Precession matrix from J2000.0 to a specified date, IAU 1976 model.
+**
+** Given:
+** date1,date2 double ending date, TT (Note 1)
+**
+** Returned:
+** rmatp double[3][3] precession matrix, J2000.0 -> date1+date2
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix operates in the sense V(date) = RMATP * V(J2000),
+** where the p-vector V(J2000) is with respect to the mean
+** equatorial triad of epoch J2000.0 and the p-vector V(date)
+** is with respect to the mean equatorial triad of the given
+** date.
+**
+** 3) Though the matrix method itself is rigorous, the precession
+** angles are expressed through canonical polynomials which are
+** valid only for a limited time span. In addition, the IAU 1976
+** precession rate is known to be imperfect. The absolute accuracy
+** of the present formulation is better than 0.1 arcsec from
+** 1960AD to 2040AD, better than 1 arcsec from 1640AD to 2360AD,
+** and remains below 3 arcsec for the whole of the period
+** 500BC to 3000AD. The errors exceed 10 arcsec outside the
+** range 1200BC to 3900AD, exceed 100 arcsec outside 4200BC to
+** 5600AD and exceed 1000 arcsec outside 6800BC to 8200AD.
+**
+** Called:
+** eraPrec76 accumulated precession angles, IAU 1976
+** eraIr initialize r-matrix to identity
+** eraRz rotate around Z-axis
+** eraRy rotate around Y-axis
+** eraCr copy r-matrix
+**
+** References:
+**
+** Lieske, J.H., 1979, Astron.Astrophys. 73, 282.
+** equations (6) & (7), p283.
+**
+** Kaplan,G.H., 1981. USNO circular no. 163, pA2.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double zeta, z, theta, wmat[3][3];
+
+
+/* Precession Euler angles, J2000.0 to specified date. */
+ eraPrec76(ERFA_DJ00, 0.0, date1, date2, &zeta, &z, &theta);
+
+/* Form the rotation matrix. */
+ eraIr( wmat);
+ eraRz( -zeta, wmat);
+ eraRy( theta, wmat);
+ eraRz( -z, wmat);
+ eraCr( wmat, rmatp);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pmp.c b/src/detail/erfa/pmp.c
new file mode 100644
index 000000000..1460a262b
--- /dev/null
+++ b/src/detail/erfa/pmp.c
@@ -0,0 +1,96 @@
+#include "erfa.h"
+
+void eraPmp(double a[3], double b[3], double amb[3])
+/*
+** - - - - - - -
+** e r a P m p
+** - - - - - - -
+**
+** P-vector subtraction.
+**
+** Given:
+** a double[3] first p-vector
+** b double[3] second p-vector
+**
+** Returned:
+** amb double[3] a - b
+**
+** Note:
+** It is permissible to re-use the same array for any of the
+** arguments.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ amb[0] = a[0] - b[0];
+ amb[1] = a[1] - b[1];
+ amb[2] = a[2] - b[2];
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pmpx.c b/src/detail/erfa/pmpx.c
new file mode 100644
index 000000000..ecfd4aa91
--- /dev/null
+++ b/src/detail/erfa/pmpx.c
@@ -0,0 +1,156 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraPmpx(double rc, double dc, double pr, double pd,
+ double px, double rv, double pmt, double pob[3],
+ double pco[3])
+/*
+** - - - - - - - -
+** e r a P m p x
+** - - - - - - - -
+**
+** Proper motion and parallax.
+**
+** Given:
+** rc,dc double ICRS RA,Dec at catalog epoch (radians)
+** pr double RA proper motion (radians/year, Note 1)
+** pd double Dec proper motion (radians/year)
+** px double parallax (arcsec)
+** rv double radial velocity (km/s, +ve if receding)
+** pmt double proper motion time interval (SSB, Julian years)
+** pob double[3] SSB to observer vector (au)
+**
+** Returned:
+** pco double[3] coordinate direction (BCRS unit vector)
+**
+** Notes:
+**
+** 1) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt.
+**
+** 2) The proper motion time interval is for when the starlight
+** reaches the solar system barycenter.
+**
+** 3) To avoid the need for iteration, the Roemer effect (i.e. the
+** small annual modulation of the proper motion coming from the
+** changing light time) is applied approximately, using the
+** direction of the star at the catalog epoch.
+**
+** References:
+**
+** 1984 Astronomical Almanac, pp B39-B41.
+**
+** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to
+** the Astronomical Almanac, 3rd ed., University Science Books
+** (2013), Section 7.2.
+**
+** Called:
+** eraPdp scalar product of two p-vectors
+** eraPn decompose p-vector into modulus and direction
+**
+** This revision: 2021 April 3
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Km/s to au/year */
+ const double VF = ERFA_DAYSEC*ERFA_DJM/ERFA_DAU;
+
+/* Light time for 1 au, Julian years */
+ const double AULTY = ERFA_AULT/ERFA_DAYSEC/ERFA_DJY;
+
+ int i;
+ double sr, cr, sd, cd, x, y, z, p[3], dt, pxr, w, pdz, pm[3];
+
+
+/* Spherical coordinates to unit vector (and useful functions). */
+ sr = sin(rc);
+ cr = cos(rc);
+ sd = sin(dc);
+ cd = cos(dc);
+ p[0] = x = cr*cd;
+ p[1] = y = sr*cd;
+ p[2] = z = sd;
+
+/* Proper motion time interval (y) including Roemer effect. */
+ dt = pmt + eraPdp(p,pob)*AULTY;
+
+/* Space motion (radians per year). */
+ pxr = px * ERFA_DAS2R;
+ w = VF * rv * pxr;
+ pdz = pd * z;
+ pm[0] = - pr*y - pdz*cr + w*x;
+ pm[1] = pr*x - pdz*sr + w*y;
+ pm[2] = pd*cd + w*z;
+
+/* Coordinate direction of star (unit vector, BCRS). */
+ for (i = 0; i < 3; i++) {
+ p[i] += dt*pm[i] - pxr*pob[i];
+ }
+ eraPn(p, &w, pco);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pmsafe.c b/src/detail/erfa/pmsafe.c
new file mode 100644
index 000000000..c8e3f5097
--- /dev/null
+++ b/src/detail/erfa/pmsafe.c
@@ -0,0 +1,208 @@
+#include "erfa.h"
+
+int eraPmsafe(double ra1, double dec1, double pmr1, double pmd1,
+ double px1, double rv1,
+ double ep1a, double ep1b, double ep2a, double ep2b,
+ double *ra2, double *dec2, double *pmr2, double *pmd2,
+ double *px2, double *rv2)
+/*
+** - - - - - - - - - -
+** e r a P m s a f e
+** - - - - - - - - - -
+**
+** Star proper motion: update star catalog data for space motion, with
+** special handling to handle the zero parallax case.
+**
+** Given:
+** ra1 double right ascension (radians), before
+** dec1 double declination (radians), before
+** pmr1 double RA proper motion (radians/year), before
+** pmd1 double Dec proper motion (radians/year), before
+** px1 double parallax (arcseconds), before
+** rv1 double radial velocity (km/s, +ve = receding), before
+** ep1a double "before" epoch, part A (Note 1)
+** ep1b double "before" epoch, part B (Note 1)
+** ep2a double "after" epoch, part A (Note 1)
+** ep2b double "after" epoch, part B (Note 1)
+**
+** Returned:
+** ra2 double right ascension (radians), after
+** dec2 double declination (radians), after
+** pmr2 double RA proper motion (radians/year), after
+** pmd2 double Dec proper motion (radians/year), after
+** px2 double parallax (arcseconds), after
+** rv2 double radial velocity (km/s, +ve = receding), after
+**
+** Returned (function value):
+** int status:
+** -1 = system error (should not occur)
+** 0 = no warnings or errors
+** 1 = distance overridden (Note 6)
+** 2 = excessive velocity (Note 7)
+** 4 = solution didn't converge (Note 8)
+** else = binary logical OR of the above warnings
+**
+** Notes:
+**
+** 1) The starting and ending TDB dates ep1a+ep1b and ep2a+ep2b are
+** Julian Dates, apportioned in any convenient way between the two
+** parts (A and B). For example, JD(TDB)=2450123.7 could be
+** expressed in any of these ways, among others:
+**
+** epNa epNb
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** resolution. The MJD method and the date & time methods are both
+** good compromises between resolution and convenience.
+**
+** 2) In accordance with normal star-catalog conventions, the object's
+** right ascension and declination are freed from the effects of
+** secular aberration. The frame, which is aligned to the catalog
+** equator and equinox, is Lorentzian and centered on the SSB.
+**
+** The proper motions are the rate of change of the right ascension
+** and declination at the catalog epoch and are in radians per TDB
+** Julian year.
+**
+** The parallax and radial velocity are in the same frame.
+**
+** 3) Care is needed with units. The star coordinates are in radians
+** and the proper motions in radians per Julian year, but the
+** parallax is in arcseconds.
+**
+** 4) The RA proper motion is in terms of coordinate angle, not true
+** angle. If the catalog uses arcseconds for both RA and Dec proper
+** motions, the RA proper motion will need to be divided by cos(Dec)
+** before use.
+**
+** 5) Straight-line motion at constant speed, in the inertial frame, is
+** assumed.
+**
+** 6) An extremely small (or zero or negative) parallax is overridden
+** to ensure that the object is at a finite but very large distance,
+** but not so large that the proper motion is equivalent to a large
+** but safe speed (about 0.1c using the chosen constant). A warning
+** status of 1 is added to the status if this action has been taken.
+**
+** 7) If the space velocity is a significant fraction of c (see the
+** constant VMAX in the function eraStarpv), it is arbitrarily set
+** to zero. When this action occurs, 2 is added to the status.
+**
+** 8) The relativistic adjustment carried out in the eraStarpv function
+** involves an iterative calculation. If the process fails to
+** converge within a set number of iterations, 4 is added to the
+** status.
+**
+** Called:
+** eraSeps angle between two points
+** eraStarpm update star catalog data for space motion
+**
+** This revision: 2023 April 7
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+
+/* Minimum allowed parallax (arcsec) */
+ const double PXMIN = 5e-7;
+
+/* Factor giving maximum allowed transverse speed of about 1% c */
+ const double F = 326.0;
+
+ int jpx, j;
+ double pm, px1a;
+
+
+/* Proper motion in one year (radians). */
+ pm = eraSeps(ra1, dec1, ra1+pmr1, dec1+pmd1);
+
+/* Override the parallax to reduce the chances of a warning status. */
+ jpx = 0;
+ px1a = px1;
+ pm *= F;
+ if (px1a < pm) {jpx = 1; px1a = pm;}
+ if (px1a < PXMIN) {jpx = 1; px1a = PXMIN;}
+
+/* Carry out the transformation using the modified parallax. */
+ j = eraStarpm(ra1, dec1, pmr1, pmd1, px1a, rv1,
+ ep1a, ep1b, ep2a, ep2b,
+ ra2, dec2, pmr2, pmd2, px2, rv2);
+
+/* Revise and return the status. */
+ if ( !(j%2) ) j += jpx;
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pn.c b/src/detail/erfa/pn.c
new file mode 100644
index 000000000..01dbfd426
--- /dev/null
+++ b/src/detail/erfa/pn.c
@@ -0,0 +1,120 @@
+#include "erfa.h"
+
+void eraPn(double p[3], double *r, double u[3])
+/*
+** - - - - - -
+** e r a P n
+** - - - - - -
+**
+** Convert a p-vector into modulus and unit vector.
+**
+** Given:
+** p double[3] p-vector
+**
+** Returned:
+** r double modulus
+** u double[3] unit vector
+**
+** Notes:
+**
+** 1) If p is null, the result is null. Otherwise the result is a unit
+** vector.
+**
+** 2) It is permissible to re-use the same array for any of the
+** arguments.
+**
+** Called:
+** eraPm modulus of p-vector
+** eraZp zero p-vector
+** eraSxp multiply p-vector by scalar
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double w;
+
+
+/* Obtain the modulus and test for zero. */
+ w = eraPm(p);
+ if (w == 0.0) {
+
+ /* Null vector. */
+ eraZp(u);
+
+ } else {
+
+ /* Unit vector. */
+ eraSxp(1.0/w, p, u);
+ }
+
+/* Return the modulus. */
+ *r = w;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pn00.c b/src/detail/erfa/pn00.c
new file mode 100644
index 000000000..f7c05c0e3
--- /dev/null
+++ b/src/detail/erfa/pn00.c
@@ -0,0 +1,188 @@
+#include "erfa.h"
+
+void eraPn00(double date1, double date2, double dpsi, double deps,
+ double *epsa,
+ double rb[3][3], double rp[3][3], double rbp[3][3],
+ double rn[3][3], double rbpn[3][3])
+/*
+** - - - - - - - -
+** e r a P n 0 0
+** - - - - - - - -
+**
+** Precession-nutation, IAU 2000 model: a multi-purpose function,
+** supporting classical (equinox-based) use directly and CIO-based
+** use indirectly.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+** dpsi,deps double nutation (Note 2)
+**
+** Returned:
+** epsa double mean obliquity (Note 3)
+** rb double[3][3] frame bias matrix (Note 4)
+** rp double[3][3] precession matrix (Note 5)
+** rbp double[3][3] bias-precession matrix (Note 6)
+** rn double[3][3] nutation matrix (Note 7)
+** rbpn double[3][3] GCRS-to-true matrix (Note 8)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The caller is responsible for providing the nutation components;
+** they are in longitude and obliquity, in radians and are with
+** respect to the equinox and ecliptic of date. For high-accuracy
+** applications, free core nutation should be included as well as
+** any other relevant corrections to the position of the CIP.
+**
+** 3) The returned mean obliquity is consistent with the IAU 2000
+** precession-nutation models.
+**
+** 4) The matrix rb transforms vectors from GCRS to J2000.0 mean
+** equator and equinox by applying frame bias.
+**
+** 5) The matrix rp transforms vectors from J2000.0 mean equator and
+** equinox to mean equator and equinox of date by applying
+** precession.
+**
+** 6) The matrix rbp transforms vectors from GCRS to mean equator and
+** equinox of date by applying frame bias then precession. It is
+** the product rp x rb.
+**
+** 7) The matrix rn transforms vectors from mean equator and equinox of
+** date to true equator and equinox of date by applying the nutation
+** (luni-solar + planetary).
+**
+** 8) The matrix rbpn transforms vectors from GCRS to true equator and
+** equinox of date. It is the product rn x rbp, applying frame
+** bias, precession and nutation in that order.
+**
+** 9) It is permissible to re-use the same array in the returned
+** arguments. The arrays are filled in the order given.
+**
+** Called:
+** eraPr00 IAU 2000 precession adjustments
+** eraObl80 mean obliquity, IAU 1980
+** eraBp00 frame bias and precession matrices, IAU 2000
+** eraCr copy r-matrix
+** eraNumat form nutation matrix
+** eraRxr product of two r-matrices
+**
+** Reference:
+**
+** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P.,
+** "Expressions for the Celestial Intermediate Pole and Celestial
+** Ephemeris Origin consistent with the IAU 2000A precession-
+** nutation model", Astron.Astrophys. 400, 1145-1154 (2003)
+**
+** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
+** intermediate origin" (CIO) by IAU 2006 Resolution 2.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double dpsipr, depspr, rbpw[3][3], rnw[3][3];
+
+
+/* IAU 2000 precession-rate adjustments. */
+ eraPr00(date1, date2, &dpsipr, &depspr);
+
+/* Mean obliquity, consistent with IAU 2000 precession-nutation. */
+ *epsa = eraObl80(date1, date2) + depspr;
+
+/* Frame bias and precession matrices and their product. */
+ eraBp00(date1, date2, rb, rp, rbpw);
+ eraCr(rbpw, rbp);
+
+/* Nutation matrix. */
+ eraNumat(*epsa, dpsi, deps, rnw);
+ eraCr(rnw, rn);
+
+/* Bias-precession-nutation matrix (classical). */
+ eraRxr(rnw, rbpw, rbpn);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pn00a.c b/src/detail/erfa/pn00a.c
new file mode 100644
index 000000000..7dda21b19
--- /dev/null
+++ b/src/detail/erfa/pn00a.c
@@ -0,0 +1,174 @@
+#include "erfa.h"
+
+void eraPn00a(double date1, double date2,
+ double *dpsi, double *deps, double *epsa,
+ double rb[3][3], double rp[3][3], double rbp[3][3],
+ double rn[3][3], double rbpn[3][3])
+/*
+** - - - - - - - - -
+** e r a P n 0 0 a
+** - - - - - - - - -
+**
+** Precession-nutation, IAU 2000A model: a multi-purpose function,
+** supporting classical (equinox-based) use directly and CIO-based
+** use indirectly.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** dpsi,deps double nutation (Note 2)
+** epsa double mean obliquity (Note 3)
+** rb double[3][3] frame bias matrix (Note 4)
+** rp double[3][3] precession matrix (Note 5)
+** rbp double[3][3] bias-precession matrix (Note 6)
+** rn double[3][3] nutation matrix (Note 7)
+** rbpn double[3][3] GCRS-to-true matrix (Notes 8,9)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The nutation components (luni-solar + planetary, IAU 2000A) in
+** longitude and obliquity are in radians and with respect to the
+** equinox and ecliptic of date. Free core nutation is omitted;
+** for the utmost accuracy, use the eraPn00 function, where the
+** nutation components are caller-specified. For faster but
+** slightly less accurate results, use the eraPn00b function.
+**
+** 3) The mean obliquity is consistent with the IAU 2000 precession.
+**
+** 4) The matrix rb transforms vectors from GCRS to J2000.0 mean
+** equator and equinox by applying frame bias.
+**
+** 5) The matrix rp transforms vectors from J2000.0 mean equator and
+** equinox to mean equator and equinox of date by applying
+** precession.
+**
+** 6) The matrix rbp transforms vectors from GCRS to mean equator and
+** equinox of date by applying frame bias then precession. It is
+** the product rp x rb.
+**
+** 7) The matrix rn transforms vectors from mean equator and equinox
+** of date to true equator and equinox of date by applying the
+** nutation (luni-solar + planetary).
+**
+** 8) The matrix rbpn transforms vectors from GCRS to true equator and
+** equinox of date. It is the product rn x rbp, applying frame
+** bias, precession and nutation in that order.
+**
+** 9) The X,Y,Z coordinates of the IAU 2000A Celestial Intermediate
+** Pole are elements (3,1-3) of the GCRS-to-true matrix,
+** i.e. rbpn[2][0-2].
+**
+** 10) It is permissible to re-use the same array in the returned
+** arguments. The arrays are filled in the stated order.
+**
+** Called:
+** eraNut00a nutation, IAU 2000A
+** eraPn00 bias/precession/nutation results, IAU 2000
+**
+** Reference:
+**
+** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P.,
+** "Expressions for the Celestial Intermediate Pole and Celestial
+** Ephemeris Origin consistent with the IAU 2000A precession-
+** nutation model", Astron.Astrophys. 400, 1145-1154 (2003)
+**
+** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
+** intermediate origin" (CIO) by IAU 2006 Resolution 2.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Nutation. */
+ eraNut00a(date1, date2, dpsi, deps);
+
+/* Remaining results. */
+ eraPn00(date1, date2, *dpsi, *deps, epsa, rb, rp, rbp, rn, rbpn);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pn00b.c b/src/detail/erfa/pn00b.c
new file mode 100644
index 000000000..41baa7525
--- /dev/null
+++ b/src/detail/erfa/pn00b.c
@@ -0,0 +1,174 @@
+#include "erfa.h"
+
+void eraPn00b(double date1, double date2,
+ double *dpsi, double *deps, double *epsa,
+ double rb[3][3], double rp[3][3], double rbp[3][3],
+ double rn[3][3], double rbpn[3][3])
+/*
+** - - - - - - - - -
+** e r a P n 0 0 b
+** - - - - - - - - -
+**
+** Precession-nutation, IAU 2000B model: a multi-purpose function,
+** supporting classical (equinox-based) use directly and CIO-based
+** use indirectly.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** dpsi,deps double nutation (Note 2)
+** epsa double mean obliquity (Note 3)
+** rb double[3][3] frame bias matrix (Note 4)
+** rp double[3][3] precession matrix (Note 5)
+** rbp double[3][3] bias-precession matrix (Note 6)
+** rn double[3][3] nutation matrix (Note 7)
+** rbpn double[3][3] GCRS-to-true matrix (Notes 8,9)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The nutation components (luni-solar + planetary, IAU 2000B) in
+** longitude and obliquity are in radians and with respect to the
+** equinox and ecliptic of date. For more accurate results, but
+** at the cost of increased computation, use the eraPn00a function.
+** For the utmost accuracy, use the eraPn00 function, where the
+** nutation components are caller-specified.
+**
+** 3) The mean obliquity is consistent with the IAU 2000 precession.
+**
+** 4) The matrix rb transforms vectors from GCRS to J2000.0 mean
+** equator and equinox by applying frame bias.
+**
+** 5) The matrix rp transforms vectors from J2000.0 mean equator and
+** equinox to mean equator and equinox of date by applying
+** precession.
+**
+** 6) The matrix rbp transforms vectors from GCRS to mean equator and
+** equinox of date by applying frame bias then precession. It is
+** the product rp x rb.
+**
+** 7) The matrix rn transforms vectors from mean equator and equinox
+** of date to true equator and equinox of date by applying the
+** nutation (luni-solar + planetary).
+**
+** 8) The matrix rbpn transforms vectors from GCRS to true equator and
+** equinox of date. It is the product rn x rbp, applying frame
+** bias, precession and nutation in that order.
+**
+** 9) The X,Y,Z coordinates of the IAU 2000B Celestial Intermediate
+** Pole are elements (3,1-3) of the GCRS-to-true matrix,
+** i.e. rbpn[2][0-2].
+**
+** 10) It is permissible to re-use the same array in the returned
+** arguments. The arrays are filled in the stated order.
+**
+** Called:
+** eraNut00b nutation, IAU 2000B
+** eraPn00 bias/precession/nutation results, IAU 2000
+**
+** Reference:
+**
+** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P.,
+** "Expressions for the Celestial Intermediate Pole and Celestial
+** Ephemeris Origin consistent with the IAU 2000A precession-
+** nutation model", Astron.Astrophys. 400, 1145-1154 (2003).
+**
+** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
+** intermediate origin" (CIO) by IAU 2006 Resolution 2.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Nutation. */
+ eraNut00b(date1, date2, dpsi, deps);
+
+/* Remaining results. */
+ eraPn00(date1, date2, *dpsi, *deps, epsa, rb, rp, rbp, rn, rbpn);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pn06.c b/src/detail/erfa/pn06.c
new file mode 100644
index 000000000..a4826be3e
--- /dev/null
+++ b/src/detail/erfa/pn06.c
@@ -0,0 +1,199 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraPn06(double date1, double date2, double dpsi, double deps,
+ double *epsa,
+ double rb[3][3], double rp[3][3], double rbp[3][3],
+ double rn[3][3], double rbpn[3][3])
+/*
+** - - - - - - - -
+** e r a P n 0 6
+** - - - - - - - -
+**
+** Precession-nutation, IAU 2006 model: a multi-purpose function,
+** supporting classical (equinox-based) use directly and CIO-based use
+** indirectly.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+** dpsi,deps double nutation (Note 2)
+**
+** Returned:
+** epsa double mean obliquity (Note 3)
+** rb double[3][3] frame bias matrix (Note 4)
+** rp double[3][3] precession matrix (Note 5)
+** rbp double[3][3] bias-precession matrix (Note 6)
+** rn double[3][3] nutation matrix (Note 7)
+** rbpn double[3][3] GCRS-to-true matrix (Notes 8,9)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The caller is responsible for providing the nutation components;
+** they are in longitude and obliquity, in radians and are with
+** respect to the equinox and ecliptic of date. For high-accuracy
+** applications, free core nutation should be included as well as
+** any other relevant corrections to the position of the CIP.
+**
+** 3) The returned mean obliquity is consistent with the IAU 2006
+** precession.
+**
+** 4) The matrix rb transforms vectors from GCRS to J2000.0 mean
+** equator and equinox by applying frame bias.
+**
+** 5) The matrix rp transforms vectors from J2000.0 mean equator and
+** equinox to mean equator and equinox of date by applying
+** precession.
+**
+** 6) The matrix rbp transforms vectors from GCRS to mean equator and
+** equinox of date by applying frame bias then precession. It is
+** the product rp x rb.
+**
+** 7) The matrix rn transforms vectors from mean equator and equinox
+** of date to true equator and equinox of date by applying the
+** nutation (luni-solar + planetary).
+**
+** 8) The matrix rbpn transforms vectors from GCRS to true equator and
+** equinox of date. It is the product rn x rbp, applying frame
+** bias, precession and nutation in that order.
+**
+** 9) The X,Y,Z coordinates of the Celestial Intermediate Pole are
+** elements (3,1-3) of the GCRS-to-true matrix, i.e. rbpn[2][0-2].
+**
+** 10) It is permissible to re-use the same array in the returned
+** arguments. The arrays are filled in the stated order.
+**
+** Called:
+** eraPfw06 bias-precession F-W angles, IAU 2006
+** eraFw2m F-W angles to r-matrix
+** eraCr copy r-matrix
+** eraTr transpose r-matrix
+** eraRxr product of two r-matrices
+**
+** References:
+**
+** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855
+**
+** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double gamb, phib, psib, eps, r1[3][3], r2[3][3], rt[3][3];
+
+
+/* Bias-precession Fukushima-Williams angles of J2000.0 = frame bias. */
+ eraPfw06(ERFA_DJM0, ERFA_DJM00, &gamb, &phib, &psib, &eps);
+
+/* B matrix. */
+ eraFw2m(gamb, phib, psib, eps, r1);
+ eraCr(r1, rb);
+
+/* Bias-precession Fukushima-Williams angles of date. */
+ eraPfw06(date1, date2, &gamb, &phib, &psib, &eps);
+
+/* Bias-precession matrix. */
+ eraFw2m(gamb, phib, psib, eps, r2);
+ eraCr(r2, rbp);
+
+/* Solve for precession matrix. */
+ eraTr(r1, rt);
+ eraRxr(r2, rt, rp);
+
+/* Equinox-based bias-precession-nutation matrix. */
+ eraFw2m(gamb, phib, psib + dpsi, eps + deps, r1);
+ eraCr(r1, rbpn);
+
+/* Solve for nutation matrix. */
+ eraTr(r2, rt);
+ eraRxr(r1, rt, rn);
+
+/* Obliquity, mean of date. */
+ *epsa = eps;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pn06a.c b/src/detail/erfa/pn06a.c
new file mode 100644
index 000000000..66c1d45c6
--- /dev/null
+++ b/src/detail/erfa/pn06a.c
@@ -0,0 +1,164 @@
+#include "erfa.h"
+
+void eraPn06a(double date1, double date2,
+ double *dpsi, double *deps, double *epsa,
+ double rb[3][3], double rp[3][3], double rbp[3][3],
+ double rn[3][3], double rbpn[3][3])
+/*
+** - - - - - - - - -
+** e r a P n 0 6 a
+** - - - - - - - - -
+**
+** Precession-nutation, IAU 2006/2000A models: a multi-purpose function,
+** supporting classical (equinox-based) use directly and CIO-based use
+** indirectly.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** dpsi,deps double nutation (Note 2)
+** epsa double mean obliquity (Note 3)
+** rb double[3][3] frame bias matrix (Note 4)
+** rp double[3][3] precession matrix (Note 5)
+** rbp double[3][3] bias-precession matrix (Note 6)
+** rn double[3][3] nutation matrix (Note 7)
+** rbpn double[3][3] GCRS-to-true matrix (Notes 8,9)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The nutation components (luni-solar + planetary, IAU 2000A) in
+** longitude and obliquity are in radians and with respect to the
+** equinox and ecliptic of date. Free core nutation is omitted;
+** for the utmost accuracy, use the eraPn06 function, where the
+** nutation components are caller-specified.
+**
+** 3) The mean obliquity is consistent with the IAU 2006 precession.
+**
+** 4) The matrix rb transforms vectors from GCRS to mean J2000.0 by
+** applying frame bias.
+**
+** 5) The matrix rp transforms vectors from mean J2000.0 to mean of
+** date by applying precession.
+**
+** 6) The matrix rbp transforms vectors from GCRS to mean of date by
+** applying frame bias then precession. It is the product rp x rb.
+**
+** 7) The matrix rn transforms vectors from mean of date to true of
+** date by applying the nutation (luni-solar + planetary).
+**
+** 8) The matrix rbpn transforms vectors from GCRS to true of date
+** (CIP/equinox). It is the product rn x rbp, applying frame bias,
+** precession and nutation in that order.
+**
+** 9) The X,Y,Z coordinates of the IAU 2006/2000A Celestial
+** Intermediate Pole are elements (3,1-3) of the GCRS-to-true
+** matrix, i.e. rbpn[2][0-2].
+**
+** 10) It is permissible to re-use the same array in the returned
+** arguments. The arrays are filled in the stated order.
+**
+** Called:
+** eraNut06a nutation, IAU 2006/2000A
+** eraPn06 bias/precession/nutation results, IAU 2006
+**
+** Reference:
+**
+** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Nutation. */
+ eraNut06a(date1, date2, dpsi, deps);
+
+/* Remaining results. */
+ eraPn06(date1, date2, *dpsi, *deps, epsa, rb, rp, rbp, rn, rbpn);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pnm00a.c b/src/detail/erfa/pnm00a.c
new file mode 100644
index 000000000..bc1982b88
--- /dev/null
+++ b/src/detail/erfa/pnm00a.c
@@ -0,0 +1,132 @@
+#include "erfa.h"
+
+void eraPnm00a(double date1, double date2, double rbpn[3][3])
+/*
+** - - - - - - - - - -
+** e r a P n m 0 0 a
+** - - - - - - - - - -
+**
+** Form the matrix of precession-nutation for a given date (including
+** frame bias), equinox based, IAU 2000A model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** rbpn double[3][3] bias-precession-nutation matrix (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix operates in the sense V(date) = rbpn * V(GCRS), where
+** the p-vector V(date) is with respect to the true equatorial triad
+** of date date1+date2 and the p-vector V(GCRS) is with respect to
+** the Geocentric Celestial Reference System (IAU, 2000).
+**
+** 3) A faster, but slightly less accurate, result (about 1 mas) can be
+** obtained by using instead the eraPnm00b function.
+**
+** Called:
+** eraPn00a bias/precession/nutation, IAU 2000A
+**
+** Reference:
+**
+** IAU: Trans. International Astronomical Union, Vol. XXIVB; Proc.
+** 24th General Assembly, Manchester, UK. Resolutions B1.3, B1.6.
+** (2000)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double dpsi, deps, epsa, rb[3][3], rp[3][3], rbp[3][3], rn[3][3];
+
+
+/* Obtain the required matrix (discarding other results). */
+ eraPn00a(date1, date2, &dpsi, &deps, &epsa, rb, rp, rbp, rn, rbpn);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pnm00b.c b/src/detail/erfa/pnm00b.c
new file mode 100644
index 000000000..33674983f
--- /dev/null
+++ b/src/detail/erfa/pnm00b.c
@@ -0,0 +1,132 @@
+#include "erfa.h"
+
+void eraPnm00b(double date1, double date2, double rbpn[3][3])
+/*
+** - - - - - - - - - -
+** e r a P n m 0 0 b
+** - - - - - - - - - -
+**
+** Form the matrix of precession-nutation for a given date (including
+** frame bias), equinox-based, IAU 2000B model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** rbpn double[3][3] bias-precession-nutation matrix (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix operates in the sense V(date) = rbpn * V(GCRS), where
+** the p-vector V(date) is with respect to the true equatorial triad
+** of date date1+date2 and the p-vector V(GCRS) is with respect to
+** the Geocentric Celestial Reference System (IAU, 2000).
+**
+** 3) The present function is faster, but slightly less accurate (about
+** 1 mas), than the eraPnm00a function.
+**
+** Called:
+** eraPn00b bias/precession/nutation, IAU 2000B
+**
+** Reference:
+**
+** IAU: Trans. International Astronomical Union, Vol. XXIVB; Proc.
+** 24th General Assembly, Manchester, UK. Resolutions B1.3, B1.6.
+** (2000)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double dpsi, deps, epsa, rb[3][3], rp[3][3], rbp[3][3], rn[3][3];
+
+
+/* Obtain the required matrix (discarding other results). */
+ eraPn00b(date1, date2, &dpsi, &deps, &epsa, rb, rp, rbp, rn, rbpn);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pnm06a.c b/src/detail/erfa/pnm06a.c
new file mode 100644
index 000000000..1b88ad701
--- /dev/null
+++ b/src/detail/erfa/pnm06a.c
@@ -0,0 +1,136 @@
+#include "erfa.h"
+
+void eraPnm06a(double date1, double date2, double rbpn[3][3])
+/*
+** - - - - - - - - - -
+** e r a P n m 0 6 a
+** - - - - - - - - - -
+**
+** Form the matrix of precession-nutation for a given date (including
+** frame bias), equinox based, IAU 2006 precession and IAU 2000A
+** nutation models.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** rbpn double[3][3] bias-precession-nutation matrix (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways, among
+** others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix operates in the sense V(date) = rbpn * V(GCRS), where
+** the p-vector V(date) is with respect to the true equatorial triad
+** of date date1+date2 and the p-vector V(GCRS) is with respect to
+** the Geocentric Celestial Reference System (IAU, 2000).
+**
+** Called:
+** eraPfw06 bias-precession F-W angles, IAU 2006
+** eraNut06a nutation, IAU 2006/2000A
+** eraFw2m F-W angles to r-matrix
+**
+** Reference:
+**
+** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double gamb, phib, psib, epsa, dp, de;
+
+
+/* Fukushima-Williams angles for frame bias and precession. */
+ eraPfw06(date1, date2, &gamb, &phib, &psib, &epsa);
+
+/* Nutation components. */
+ eraNut06a(date1, date2, &dp, &de);
+
+/* Equinox based nutation x precession x bias matrix. */
+ eraFw2m(gamb, phib, psib + dp, epsa + de, rbpn);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pnm80.c b/src/detail/erfa/pnm80.c
new file mode 100644
index 000000000..407f4af03
--- /dev/null
+++ b/src/detail/erfa/pnm80.c
@@ -0,0 +1,137 @@
+#include "erfa.h"
+
+void eraPnm80(double date1, double date2, double rmatpn[3][3])
+/*
+** - - - - - - - - -
+** e r a P n m 8 0
+** - - - - - - - - -
+**
+** Form the matrix of precession/nutation for a given date, IAU 1976
+** precession model, IAU 1980 nutation model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** rmatpn double[3][3] combined precession/nutation matrix
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The matrix operates in the sense V(date) = rmatpn * V(J2000),
+** where the p-vector V(date) is with respect to the true equatorial
+** triad of date date1+date2 and the p-vector V(J2000) is with
+** respect to the mean equatorial triad of epoch J2000.0.
+**
+** Called:
+** eraPmat76 precession matrix, IAU 1976
+** eraNutm80 nutation matrix, IAU 1980
+** eraRxr product of two r-matrices
+**
+** Reference:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992),
+** Section 3.3 (p145).
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rmatp[3][3], rmatn[3][3];
+
+
+/* Precession matrix, J2000.0 to date. */
+ eraPmat76(date1, date2, rmatp);
+
+/* Nutation matrix. */
+ eraNutm80(date1, date2, rmatn);
+
+/* Combine the matrices: PN = N x P. */
+ eraRxr(rmatn, rmatp, rmatpn);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pom00.c b/src/detail/erfa/pom00.c
new file mode 100644
index 000000000..c3be7d8e4
--- /dev/null
+++ b/src/detail/erfa/pom00.c
@@ -0,0 +1,126 @@
+#include "erfa.h"
+
+void eraPom00(double xp, double yp, double sp, double rpom[3][3])
+/*
+** - - - - - - - - - -
+** e r a P o m 0 0
+** - - - - - - - - - -
+**
+** Form the matrix of polar motion for a given date, IAU 2000.
+**
+** Given:
+** xp,yp double coordinates of the pole (radians, Note 1)
+** sp double the TIO locator s' (radians, Note 2)
+**
+** Returned:
+** rpom double[3][3] polar-motion matrix (Note 3)
+**
+** Notes:
+**
+** 1) The arguments xp and yp are the coordinates (in radians) of the
+** Celestial Intermediate Pole with respect to the International
+** Terrestrial Reference System (see IERS Conventions 2003),
+** measured along the meridians 0 and 90 deg west respectively.
+**
+** 2) The argument sp is the TIO locator s', in radians, which
+** positions the Terrestrial Intermediate Origin on the equator. It
+** is obtained from polar motion observations by numerical
+** integration, and so is in essence unpredictable. However, it is
+** dominated by a secular drift of about 47 microarcseconds per
+** century, and so can be taken into account by using s' = -47*t,
+** where t is centuries since J2000.0. The function eraSp00
+** implements this approximation.
+**
+** 3) The matrix operates in the sense V(TRS) = rpom * V(CIP), meaning
+** that it is the final rotation when computing the pointing
+** direction to a celestial source.
+**
+** Called:
+** eraIr initialize r-matrix to identity
+** eraRz rotate around Z-axis
+** eraRy rotate around Y-axis
+** eraRx rotate around X-axis
+**
+** Reference:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+
+/* Construct the matrix. */
+ eraIr(rpom);
+ eraRz(sp, rpom);
+ eraRy(-xp, rpom);
+ eraRx(-yp, rpom);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ppp.c b/src/detail/erfa/ppp.c
new file mode 100644
index 000000000..5d60cf1b8
--- /dev/null
+++ b/src/detail/erfa/ppp.c
@@ -0,0 +1,96 @@
+#include "erfa.h"
+
+void eraPpp(double a[3], double b[3], double apb[3])
+/*
+** - - - - - - -
+** e r a P p p
+** - - - - - - -
+**
+** P-vector addition.
+**
+** Given:
+** a double[3] first p-vector
+** b double[3] second p-vector
+**
+** Returned:
+** apb double[3] a + b
+**
+** Note:
+** It is permissible to re-use the same array for any of the
+** arguments.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ apb[0] = a[0] + b[0];
+ apb[1] = a[1] + b[1];
+ apb[2] = a[2] + b[2];
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ppsp.c b/src/detail/erfa/ppsp.c
new file mode 100644
index 000000000..1bdd26e79
--- /dev/null
+++ b/src/detail/erfa/ppsp.c
@@ -0,0 +1,105 @@
+#include "erfa.h"
+
+void eraPpsp(double a[3], double s, double b[3], double apsb[3])
+/*
+** - - - - - - - -
+** e r a P p s p
+** - - - - - - - -
+**
+** P-vector plus scaled p-vector.
+**
+** Given:
+** a double[3] first p-vector
+** s double scalar (multiplier for b)
+** b double[3] second p-vector
+**
+** Returned:
+** apsb double[3] a + s*b
+**
+** Note:
+** It is permissible for any of a, b and apsb to be the same array.
+**
+** Called:
+** eraSxp multiply p-vector by scalar
+** eraPpp p-vector plus p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double sb[3];
+
+
+/* s*b. */
+ eraSxp(s, b, sb);
+
+/* a + s*b. */
+ eraPpp(a, sb, apsb);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pr00.c b/src/detail/erfa/pr00.c
new file mode 100644
index 000000000..04ee65d5b
--- /dev/null
+++ b/src/detail/erfa/pr00.c
@@ -0,0 +1,154 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraPr00(double date1, double date2, double *dpsipr, double *depspr)
+/*
+** - - - - - - - -
+** e r a P r 0 0
+** - - - - - - - -
+**
+** Precession-rate part of the IAU 2000 precession-nutation models
+** (part of MHB2000).
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** dpsipr,depspr double precession corrections (Notes 2,3)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The precession adjustments are expressed as "nutation
+** components", corrections in longitude and obliquity with respect
+** to the J2000.0 equinox and ecliptic.
+**
+** 3) Although the precession adjustments are stated to be with respect
+** to Lieske et al. (1977), the MHB2000 model does not specify which
+** set of Euler angles are to be used and how the adjustments are to
+** be applied. The most literal and straightforward procedure is to
+** adopt the 4-rotation epsilon_0, psi_A, omega_A, xi_A option, and
+** to add dpsipr to psi_A and depspr to both omega_A and eps_A.
+**
+** 4) This is an implementation of one aspect of the IAU 2000A nutation
+** model, formally adopted by the IAU General Assembly in 2000,
+** namely MHB2000 (Mathews et al. 2002).
+**
+** References:
+**
+** Lieske, J.H., Lederle, T., Fricke, W. & Morando, B., "Expressions
+** for the precession quantities based upon the IAU (1976) System of
+** Astronomical Constants", Astron.Astrophys., 58, 1-16 (1977)
+**
+** Mathews, P.M., Herring, T.A., Buffet, B.A., "Modeling of nutation
+** and precession New nutation series for nonrigid Earth and
+** insights into the Earth's interior", J.Geophys.Res., 107, B4,
+** 2002. The MHB2000 code itself was obtained on 9th September 2002
+** from ftp://maia.usno.navy.mil/conv2000/chapter5/IAU2000A.
+**
+** Wallace, P.T., "Software for Implementing the IAU 2000
+** Resolutions", in IERS Workshop 5.1 (2002).
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t;
+
+/* Precession and obliquity corrections (radians per century) */
+ static const double PRECOR = -0.29965 * ERFA_DAS2R,
+ OBLCOR = -0.02524 * ERFA_DAS2R;
+
+
+/* Interval between fundamental epoch J2000.0 and given date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* Precession rate contributions with respect to IAU 1976/80. */
+ *dpsipr = PRECOR * t;
+ *depspr = OBLCOR * t;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/prec76.c b/src/detail/erfa/prec76.c
new file mode 100644
index 000000000..48f550c1b
--- /dev/null
+++ b/src/detail/erfa/prec76.c
@@ -0,0 +1,160 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraPrec76(double date01, double date02, double date11, double date12,
+ double *zeta, double *z, double *theta)
+/*
+** - - - - - - - - - -
+** e r a P r e c 7 6
+** - - - - - - - - - -
+**
+** IAU 1976 precession model.
+**
+** This function forms the three Euler angles which implement general
+** precession between two dates, using the IAU 1976 model (as for the
+** FK5 catalog).
+**
+** Given:
+** date01,date02 double TDB starting date (Note 1)
+** date11,date12 double TDB ending date (Note 1)
+**
+** Returned:
+** zeta double 1st rotation: radians cw around z
+** z double 3rd rotation: radians cw around z
+** theta double 2nd rotation: radians ccw around y
+**
+** Notes:
+**
+** 1) The dates date01+date02 and date11+date12 are Julian Dates,
+** apportioned in any convenient way between the arguments daten1
+** and daten2. For example, JD(TDB)=2450123.7 could be expressed in
+** any of these ways, among others:
+**
+** daten1 daten2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+** The two dates may be expressed using different methods, but at
+** the risk of losing some resolution.
+**
+** 2) The accumulated precession angles zeta, z, theta are expressed
+** through canonical polynomials which are valid only for a limited
+** time span. In addition, the IAU 1976 precession rate is known to
+** be imperfect. The absolute accuracy of the present formulation
+** is better than 0.1 arcsec from 1960AD to 2040AD, better than
+** 1 arcsec from 1640AD to 2360AD, and remains below 3 arcsec for
+** the whole of the period 500BC to 3000AD. The errors exceed
+** 10 arcsec outside the range 1200BC to 3900AD, exceed 100 arcsec
+** outside 4200BC to 5600AD and exceed 1000 arcsec outside 6800BC to
+** 8200AD.
+**
+** 3) The three angles are returned in the conventional order, which
+** is not the same as the order of the corresponding Euler
+** rotations. The precession matrix is
+** R_3(-z) x R_2(+theta) x R_3(-zeta).
+**
+** Reference:
+**
+** Lieske, J.H., 1979, Astron.Astrophys. 73, 282, equations
+** (6) & (7), p283.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t0, t, tas2r, w;
+
+
+/* Interval between fundamental epoch J2000.0 and start date (JC). */
+ t0 = ((date01 - ERFA_DJ00) + date02) / ERFA_DJC;
+
+/* Interval over which precession required (JC). */
+ t = ((date11 - date01) + (date12 - date02)) / ERFA_DJC;
+
+/* Euler angles. */
+ tas2r = t * ERFA_DAS2R;
+ w = 2306.2181 + (1.39656 - 0.000139 * t0) * t0;
+
+ *zeta = (w + ((0.30188 - 0.000344 * t0) + 0.017998 * t) * t) * tas2r;
+
+ *z = (w + ((1.09468 + 0.000066 * t0) + 0.018203 * t) * t) * tas2r;
+
+ *theta = ((2004.3109 + (-0.85330 - 0.000217 * t0) * t0)
+ + ((-0.42665 - 0.000217 * t0) - 0.041833 * t) * t) * tas2r;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pv2p.c b/src/detail/erfa/pv2p.c
new file mode 100644
index 000000000..12ca3253f
--- /dev/null
+++ b/src/detail/erfa/pv2p.c
@@ -0,0 +1,92 @@
+#include "erfa.h"
+
+void eraPv2p(double pv[2][3], double p[3])
+/*
+** - - - - - - - -
+** e r a P v 2 p
+** - - - - - - - -
+**
+** Discard velocity component of a pv-vector.
+**
+** Given:
+** pv double[2][3] pv-vector
+**
+** Returned:
+** p double[3] p-vector
+**
+** Called:
+** eraCp copy p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ eraCp(pv[0], p);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pv2s.c b/src/detail/erfa/pv2s.c
new file mode 100644
index 000000000..8e417d74c
--- /dev/null
+++ b/src/detail/erfa/pv2s.c
@@ -0,0 +1,155 @@
+#include "erfa.h"
+
+void eraPv2s(double pv[2][3],
+ double *theta, double *phi, double *r,
+ double *td, double *pd, double *rd)
+/*
+** - - - - - - - -
+** e r a P v 2 s
+** - - - - - - - -
+**
+** Convert position/velocity from Cartesian to spherical coordinates.
+**
+** Given:
+** pv double[2][3] pv-vector
+**
+** Returned:
+** theta double longitude angle (radians)
+** phi double latitude angle (radians)
+** r double radial distance
+** td double rate of change of theta
+** pd double rate of change of phi
+** rd double rate of change of r
+**
+** Notes:
+**
+** 1) If the position part of pv is null, theta, phi, td and pd
+** are indeterminate. This is handled by extrapolating the
+** position through unit time by using the velocity part of
+** pv. This moves the origin without changing the direction
+** of the velocity component. If the position and velocity
+** components of pv are both null, zeroes are returned for all
+** six results.
+**
+** 2) If the position is a pole, theta, td and pd are indeterminate.
+** In such cases zeroes are returned for all three.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double x, y, z, xd, yd, zd, rxy2, rxy, r2, rtrue, rw, xyp;
+
+
+/* Components of position/velocity vector. */
+ x = pv[0][0];
+ y = pv[0][1];
+ z = pv[0][2];
+ xd = pv[1][0];
+ yd = pv[1][1];
+ zd = pv[1][2];
+
+/* Component of r in XY plane squared. */
+ rxy2 = x*x + y*y;
+
+/* Modulus squared. */
+ r2 = rxy2 + z*z;
+
+/* Modulus. */
+ rtrue = sqrt(r2);
+
+/* If null vector, move the origin along the direction of movement. */
+ rw = rtrue;
+ if (rtrue == 0.0) {
+ x = xd;
+ y = yd;
+ z = zd;
+ rxy2 = x*x + y*y;
+ r2 = rxy2 + z*z;
+ rw = sqrt(r2);
+ }
+
+/* Position and velocity in spherical coordinates. */
+ rxy = sqrt(rxy2);
+ xyp = x*xd + y*yd;
+ if (rxy2 != 0.0) {
+ *theta = atan2(y, x);
+ *phi = atan2(z, rxy);
+ *td = (x*yd - y*xd) / rxy2;
+ *pd = (zd*rxy2 - z*xyp) / (r2*rxy);
+ } else {
+ *theta = 0.0;
+ *phi = (z != 0.0) ? atan2(z, rxy) : 0.0;
+ *td = 0.0;
+ *pd = 0.0;
+ }
+ *r = rtrue;
+ *rd = (rw != 0.0) ? (xyp + z*zd) / rw : 0.0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pvdpv.c b/src/detail/erfa/pvdpv.c
new file mode 100644
index 000000000..1dbe3a69c
--- /dev/null
+++ b/src/detail/erfa/pvdpv.c
@@ -0,0 +1,113 @@
+#include "erfa.h"
+
+void eraPvdpv(double a[2][3], double b[2][3], double adb[2])
+/*
+** - - - - - - - - -
+** e r a P v d p v
+** - - - - - - - - -
+**
+** Inner (=scalar=dot) product of two pv-vectors.
+**
+** Given:
+** a double[2][3] first pv-vector
+** b double[2][3] second pv-vector
+**
+** Returned:
+** adb double[2] a . b (see note)
+**
+** Note:
+**
+** If the position and velocity components of the two pv-vectors are
+** ( ap, av ) and ( bp, bv ), the result, a . b, is the pair of
+** numbers ( ap . bp , ap . bv + av . bp ). The two numbers are the
+** dot-product of the two p-vectors and its derivative.
+**
+** Called:
+** eraPdp scalar product of two p-vectors
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double adbd, addb;
+
+
+/* a . b = constant part of result. */
+ adb[0] = eraPdp(a[0], b[0]);
+
+/* a . bdot */
+ adbd = eraPdp(a[0], b[1]);
+
+/* adot . b */
+ addb = eraPdp(a[1], b[0]);
+
+/* Velocity part of result. */
+ adb[1] = adbd + addb;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pvm.c b/src/detail/erfa/pvm.c
new file mode 100644
index 000000000..be628ec63
--- /dev/null
+++ b/src/detail/erfa/pvm.c
@@ -0,0 +1,97 @@
+#include "erfa.h"
+
+void eraPvm(double pv[2][3], double *r, double *s)
+/*
+** - - - - - - -
+** e r a P v m
+** - - - - - - -
+**
+** Modulus of pv-vector.
+**
+** Given:
+** pv double[2][3] pv-vector
+**
+** Returned:
+** r double modulus of position component
+** s double modulus of velocity component
+**
+** Called:
+** eraPm modulus of p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Distance. */
+ *r = eraPm(pv[0]);
+
+/* Speed. */
+ *s = eraPm(pv[1]);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pvmpv.c b/src/detail/erfa/pvmpv.c
new file mode 100644
index 000000000..8d1262593
--- /dev/null
+++ b/src/detail/erfa/pvmpv.c
@@ -0,0 +1,98 @@
+#include "erfa.h"
+
+void eraPvmpv(double a[2][3], double b[2][3], double amb[2][3])
+/*
+** - - - - - - - - -
+** e r a P v m p v
+** - - - - - - - - -
+**
+** Subtract one pv-vector from another.
+**
+** Given:
+** a double[2][3] first pv-vector
+** b double[2][3] second pv-vector
+**
+** Returned:
+** amb double[2][3] a - b
+**
+** Note:
+** It is permissible to re-use the same array for any of the
+** arguments.
+**
+** Called:
+** eraPmp p-vector minus p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ eraPmp(a[0], b[0], amb[0]);
+ eraPmp(a[1], b[1], amb[1]);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pvppv.c b/src/detail/erfa/pvppv.c
new file mode 100644
index 000000000..005f985ba
--- /dev/null
+++ b/src/detail/erfa/pvppv.c
@@ -0,0 +1,98 @@
+#include "erfa.h"
+
+void eraPvppv(double a[2][3], double b[2][3], double apb[2][3])
+/*
+** - - - - - - - - -
+** e r a P v p p v
+** - - - - - - - - -
+**
+** Add one pv-vector to another.
+**
+** Given:
+** a double[2][3] first pv-vector
+** b double[2][3] second pv-vector
+**
+** Returned:
+** apb double[2][3] a + b
+**
+** Note:
+** It is permissible to re-use the same array for any of the
+** arguments.
+**
+** Called:
+** eraPpp p-vector plus p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ eraPpp(a[0], b[0], apb[0]);
+ eraPpp(a[1], b[1], apb[1]);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pvstar.c b/src/detail/erfa/pvstar.c
new file mode 100644
index 000000000..4af681062
--- /dev/null
+++ b/src/detail/erfa/pvstar.c
@@ -0,0 +1,219 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraPvstar(double pv[2][3], double *ra, double *dec,
+ double *pmr, double *pmd, double *px, double *rv)
+/*
+** - - - - - - - - - -
+** e r a P v s t a r
+** - - - - - - - - - -
+**
+** Convert star position+velocity vector to catalog coordinates.
+**
+** Given (Note 1):
+** pv double[2][3] pv-vector (au, au/day)
+**
+** Returned (Note 2):
+** ra double right ascension (radians)
+** dec double declination (radians)
+** pmr double RA proper motion (radians/year)
+** pmd double Dec proper motion (radians/year)
+** px double parallax (arcsec)
+** rv double radial velocity (km/s, positive = receding)
+**
+** Returned (function value):
+** int status:
+** 0 = OK
+** -1 = superluminal speed (Note 5)
+** -2 = null position vector
+**
+** Notes:
+**
+** 1) The specified pv-vector is the coordinate direction (and its rate
+** of change) for the date at which the light leaving the star
+** reached the solar-system barycenter.
+**
+** 2) The star data returned by this function are "observables" for an
+** imaginary observer at the solar-system barycenter. Proper motion
+** and radial velocity are, strictly, in terms of barycentric
+** coordinate time, TCB. For most practical applications, it is
+** permissible to neglect the distinction between TCB and ordinary
+** "proper" time on Earth (TT/TAI). The result will, as a rule, be
+** limited by the intrinsic accuracy of the proper-motion and
+** radial-velocity data; moreover, the supplied pv-vector is likely
+** to be merely an intermediate result (for example generated by the
+** function eraStarpv), so that a change of time unit will cancel
+** out overall.
+**
+** In accordance with normal star-catalog conventions, the object's
+** right ascension and declination are freed from the effects of
+** secular aberration. The frame, which is aligned to the catalog
+** equator and equinox, is Lorentzian and centered on the SSB.
+**
+** Summarizing, the specified pv-vector is for most stars almost
+** identical to the result of applying the standard geometrical
+** "space motion" transformation to the catalog data. The
+** differences, which are the subject of the Stumpff paper cited
+** below, are:
+**
+** (i) In stars with significant radial velocity and proper motion,
+** the constantly changing light-time distorts the apparent proper
+** motion. Note that this is a classical, not a relativistic,
+** effect.
+**
+** (ii) The transformation complies with special relativity.
+**
+** 3) Care is needed with units. The star coordinates are in radians
+** and the proper motions in radians per Julian year, but the
+** parallax is in arcseconds; the radial velocity is in km/s, but
+** the pv-vector result is in au and au/day.
+**
+** 4) The proper motions are the rate of change of the right ascension
+** and declination at the catalog epoch and are in radians per Julian
+** year. The RA proper motion is in terms of coordinate angle, not
+** true angle, and will thus be numerically larger at high
+** declinations.
+**
+** 5) Straight-line motion at constant speed in the inertial frame is
+** assumed. If the speed is greater than or equal to the speed of
+** light, the function aborts with an error status.
+**
+** 6) The inverse transformation is performed by the function eraStarpv.
+**
+** Called:
+** eraPn decompose p-vector into modulus and direction
+** eraPdp scalar product of two p-vectors
+** eraSxp multiply p-vector by scalar
+** eraPmp p-vector minus p-vector
+** eraPm modulus of p-vector
+** eraPpp p-vector plus p-vector
+** eraPv2s pv-vector to spherical
+** eraAnp normalize angle into range 0 to 2pi
+**
+** Reference:
+**
+** Stumpff, P., 1985, Astron.Astrophys. 144, 232-240.
+**
+** This revision: 2023 May 4
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double r, pu[3], vr, ur[3], vt, ut[3], bett, betr, d, w, del,
+ usr[3], ust[3], a, rad, decd, rd;
+
+
+/* Isolate the radial component of the velocity (au/day, inertial). */
+ eraPn(pv[0], &r, pu);
+ vr = eraPdp(pu, pv[1]);
+ eraSxp(vr, pu, ur);
+
+/* Isolate the transverse component of the velocity (au/day, inertial). */
+ eraPmp(pv[1], ur, ut);
+ vt = eraPm(ut);
+
+/* Special-relativity dimensionless parameters. */
+ bett = vt / ERFA_DC;
+ betr = vr / ERFA_DC;
+
+/* The observed-to-inertial correction terms. */
+ d = 1.0 + betr;
+ w = betr*betr + bett*bett;
+ if (d == 0.0 || w > 1.0) return -1;
+ del = - w / (sqrt(1.0-w) + 1.0);
+
+/* Scale inertial tangential velocity vector into observed (au/d). */
+ eraSxp(1.0/d, ut, ust);
+
+/* Compute observed radial velocity vector (au/d). */
+ eraSxp(ERFA_DC*(betr-del)/d, pu, usr);
+
+/* Combine the two to obtain the observed velocity vector. */
+ eraPpp(usr, ust, pv[1]);
+
+/* Cartesian to spherical. */
+ eraPv2s(pv, &a, dec, &r, &rad, &decd, &rd);
+ if (r == 0.0) return -2;
+
+/* Return RA in range 0 to 2pi. */
+ *ra = eraAnp(a);
+
+/* Return proper motions in radians per year. */
+ *pmr = rad * ERFA_DJY;
+ *pmd = decd * ERFA_DJY;
+
+/* Return parallax in arcsec. */
+ *px = ERFA_DR2AS / r;
+
+/* Return radial velocity in km/s. */
+ *rv = 1e-3 * rd * ERFA_DAU / ERFA_DAYSEC;
+
+/* Success. */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pvtob.c b/src/detail/erfa/pvtob.c
new file mode 100644
index 000000000..09fb2f149
--- /dev/null
+++ b/src/detail/erfa/pvtob.c
@@ -0,0 +1,165 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraPvtob(double elong, double phi, double hm,
+ double xp, double yp, double sp, double theta,
+ double pv[2][3])
+/*
+** - - - - - - - - -
+** e r a P v t o b
+** - - - - - - - - -
+**
+** Position and velocity of a terrestrial observing station.
+**
+** Given:
+** elong double longitude (radians, east +ve, Note 1)
+** phi double latitude (geodetic, radians, Note 1)
+** hm double height above ref. ellipsoid (geodetic, m)
+** xp,yp double coordinates of the pole (radians, Note 2)
+** sp double the TIO locator s' (radians, Note 2)
+** theta double Earth rotation angle (radians, Note 3)
+**
+** Returned:
+** pv double[2][3] position/velocity vector (m, m/s, CIRS)
+**
+** Notes:
+**
+** 1) The terrestrial coordinates are with respect to the ERFA_WGS84
+** reference ellipsoid.
+**
+** 2) xp and yp are the coordinates (in radians) of the Celestial
+** Intermediate Pole with respect to the International Terrestrial
+** Reference System (see IERS Conventions), measured along the
+** meridians 0 and 90 deg west respectively. sp is the TIO locator
+** s', in radians, which positions the Terrestrial Intermediate
+** Origin on the equator. For many applications, xp, yp and
+** (especially) sp can be set to zero.
+**
+** 3) If theta is Greenwich apparent sidereal time instead of Earth
+** rotation angle, the result is with respect to the true equator
+** and equinox of date, i.e. with the x-axis at the equinox rather
+** than the celestial intermediate origin.
+**
+** 4) The velocity units are meters per UT1 second, not per SI second.
+** This is unlikely to have any practical consequences in the modern
+** era.
+**
+** 5) No validation is performed on the arguments. Error cases that
+** could lead to arithmetic exceptions are trapped by the eraGd2gc
+** function, and the result set to zeros.
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to
+** the Astronomical Almanac, 3rd ed., University Science Books
+** (2013), Section 7.4.3.3.
+**
+** Called:
+** eraGd2gc geodetic to geocentric transformation
+** eraPom00 polar motion matrix
+** eraTrxp product of transpose of r-matrix and p-vector
+**
+** This revision: 2021 February 24
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Earth rotation rate in radians per UT1 second */
+ const double OM = 1.00273781191135448 * ERFA_D2PI / ERFA_DAYSEC;
+
+ double xyzm[3], rpm[3][3], xyz[3], x, y, z, s, c;
+
+
+/* Geodetic to geocentric transformation (ERFA_WGS84). */
+ (void) eraGd2gc(1, elong, phi, hm, xyzm);
+
+/* Polar motion and TIO position. */
+ eraPom00(xp, yp, sp, rpm);
+ eraTrxp(rpm, xyzm, xyz);
+ x = xyz[0];
+ y = xyz[1];
+ z = xyz[2];
+
+/* Functions of ERA. */
+ s = sin(theta);
+ c = cos(theta);
+
+/* Position. */
+ pv[0][0] = c*x - s*y;
+ pv[0][1] = s*x + c*y;
+ pv[0][2] = z;
+
+/* Velocity. */
+ pv[1][0] = OM * ( -s*x - c*y );
+ pv[1][1] = OM * ( c*x - s*y );
+ pv[1][2] = 0.0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pvu.c b/src/detail/erfa/pvu.c
new file mode 100644
index 000000000..7d9dd5239
--- /dev/null
+++ b/src/detail/erfa/pvu.c
@@ -0,0 +1,104 @@
+#include "erfa.h"
+
+void eraPvu(double dt, double pv[2][3], double upv[2][3])
+/*
+** - - - - - - -
+** e r a P v u
+** - - - - - - -
+**
+** Update a pv-vector.
+**
+** Given:
+** dt double time interval
+** pv double[2][3] pv-vector
+**
+** Returned:
+** upv double[2][3] p updated, v unchanged
+**
+** Notes:
+**
+** 1) "Update" means "refer the position component of the vector
+** to a new date dt time units from the existing date".
+**
+** 2) The time units of dt must match those of the velocity.
+**
+** 3) It is permissible for pv and upv to be the same array.
+**
+** Called:
+** eraPpsp p-vector plus scaled p-vector
+** eraCp copy p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ eraPpsp(pv[0], dt, pv[1], upv[0]);
+ eraCp(pv[1], upv[1]);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pvup.c b/src/detail/erfa/pvup.c
new file mode 100644
index 000000000..83666baa5
--- /dev/null
+++ b/src/detail/erfa/pvup.c
@@ -0,0 +1,99 @@
+#include "erfa.h"
+
+void eraPvup(double dt, double pv[2][3], double p[3])
+/*
+** - - - - - - - -
+** e r a P v u p
+** - - - - - - - -
+**
+** Update a pv-vector, discarding the velocity component.
+**
+** Given:
+** dt double time interval
+** pv double[2][3] pv-vector
+**
+** Returned:
+** p double[3] p-vector
+**
+** Notes:
+**
+** 1) "Update" means "refer the position component of the vector to a
+** new date dt time units from the existing date".
+**
+** 2) The time units of dt must match those of the velocity.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ p[0] = pv[0][0] + dt * pv[1][0];
+ p[1] = pv[0][1] + dt * pv[1][1];
+ p[2] = pv[0][2] + dt * pv[1][2];
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pvxpv.c b/src/detail/erfa/pvxpv.c
new file mode 100644
index 000000000..34064c0f9
--- /dev/null
+++ b/src/detail/erfa/pvxpv.c
@@ -0,0 +1,118 @@
+#include "erfa.h"
+
+void eraPvxpv(double a[2][3], double b[2][3], double axb[2][3])
+/*
+** - - - - - - - - -
+** e r a P v x p v
+** - - - - - - - - -
+**
+** Outer (=vector=cross) product of two pv-vectors.
+**
+** Given:
+** a double[2][3] first pv-vector
+** b double[2][3] second pv-vector
+**
+** Returned:
+** axb double[2][3] a x b
+**
+** Notes:
+**
+** 1) If the position and velocity components of the two pv-vectors are
+** ( ap, av ) and ( bp, bv ), the result, a x b, is the pair of
+** vectors ( ap x bp, ap x bv + av x bp ). The two vectors are the
+** cross-product of the two p-vectors and its derivative.
+**
+** 2) It is permissible to re-use the same array for any of the
+** arguments.
+**
+** Called:
+** eraCpv copy pv-vector
+** eraPxp vector product of two p-vectors
+** eraPpp p-vector plus p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double wa[2][3], wb[2][3], axbd[3], adxb[3];
+
+
+/* Make copies of the inputs. */
+ eraCpv(a, wa);
+ eraCpv(b, wb);
+
+/* a x b = position part of result. */
+ eraPxp(wa[0], wb[0], axb[0]);
+
+/* a x bdot + adot x b = velocity part of result. */
+ eraPxp(wa[0], wb[1], axbd);
+ eraPxp(wa[1], wb[0], adxb);
+ eraPpp(axbd, adxb, axb[1]);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/pxp.c b/src/detail/erfa/pxp.c
new file mode 100644
index 000000000..6735b280a
--- /dev/null
+++ b/src/detail/erfa/pxp.c
@@ -0,0 +1,105 @@
+#include "erfa.h"
+
+void eraPxp(double a[3], double b[3], double axb[3])
+/*
+** - - - - - - -
+** e r a P x p
+** - - - - - - -
+**
+** p-vector outer (=vector=cross) product.
+**
+** Given:
+** a double[3] first p-vector
+** b double[3] second p-vector
+**
+** Returned:
+** axb double[3] a x b
+**
+** Note:
+** It is permissible to re-use the same array for any of the
+** arguments.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double xa, ya, za, xb, yb, zb;
+
+
+ xa = a[0];
+ ya = a[1];
+ za = a[2];
+ xb = b[0];
+ yb = b[1];
+ zb = b[2];
+ axb[0] = ya*zb - za*yb;
+ axb[1] = za*xb - xa*zb;
+ axb[2] = xa*yb - ya*xb;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/refco.c b/src/detail/erfa/refco.c
new file mode 100644
index 000000000..c44247287
--- /dev/null
+++ b/src/detail/erfa/refco.c
@@ -0,0 +1,269 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraRefco(double phpa, double tc, double rh, double wl,
+ double *refa, double *refb)
+/*
+** - - - - - - - - -
+** e r a R e f c o
+** - - - - - - - - -
+**
+** Determine the constants A and B in the atmospheric refraction model
+** dZ = A tan Z + B tan^3 Z.
+**
+** Z is the "observed" zenith distance (i.e. affected by refraction)
+** and dZ is what to add to Z to give the "topocentric" (i.e. in vacuo)
+** zenith distance.
+**
+** Given:
+** phpa double pressure at the observer (hPa = millibar)
+** tc double ambient temperature at the observer (deg C)
+** rh double relative humidity at the observer (range 0-1)
+** wl double wavelength (micrometers)
+**
+** Returned:
+** refa double* tan Z coefficient (radians)
+** refb double* tan^3 Z coefficient (radians)
+**
+** Notes:
+**
+** 1) The model balances speed and accuracy to give good results in
+** applications where performance at low altitudes is not paramount.
+** Performance is maintained across a range of conditions, and
+** applies to both optical/IR and radio.
+**
+** 2) The model omits the effects of (i) height above sea level (apart
+** from the reduced pressure itself), (ii) latitude (i.e. the
+** flattening of the Earth), (iii) variations in tropospheric lapse
+** rate and (iv) dispersive effects in the radio.
+**
+** The model was tested using the following range of conditions:
+**
+** lapse rates 0.0055, 0.0065, 0.0075 deg/meter
+** latitudes 0, 25, 50, 75 degrees
+** heights 0, 2500, 5000 meters ASL
+** pressures mean for height -10% to +5% in steps of 5%
+** temperatures -10 deg to +20 deg with respect to 280 deg at SL
+** relative humidity 0, 0.5, 1
+** wavelengths 0.4, 0.6, ... 2 micron, + radio
+** zenith distances 15, 45, 75 degrees
+**
+** The accuracy with respect to raytracing through a model
+** atmosphere was as follows:
+**
+** worst RMS
+**
+** optical/IR 62 mas 8 mas
+** radio 319 mas 49 mas
+**
+** For this particular set of conditions:
+**
+** lapse rate 0.0065 K/meter
+** latitude 50 degrees
+** sea level
+** pressure 1005 mb
+** temperature 280.15 K
+** humidity 80%
+** wavelength 5740 Angstroms
+**
+** the results were as follows:
+**
+** ZD raytrace eraRefco Saastamoinen
+**
+** 10 10.27 10.27 10.27
+** 20 21.19 21.20 21.19
+** 30 33.61 33.61 33.60
+** 40 48.82 48.83 48.81
+** 45 58.16 58.18 58.16
+** 50 69.28 69.30 69.27
+** 55 82.97 82.99 82.95
+** 60 100.51 100.54 100.50
+** 65 124.23 124.26 124.20
+** 70 158.63 158.68 158.61
+** 72 177.32 177.37 177.31
+** 74 200.35 200.38 200.32
+** 76 229.45 229.43 229.42
+** 78 267.44 267.29 267.41
+** 80 319.13 318.55 319.10
+**
+** deg arcsec arcsec arcsec
+**
+** The values for Saastamoinen's formula (which includes terms
+** up to tan^5) are taken from Hohenkerk and Sinclair (1985).
+**
+** 3) A wl value in the range 0-100 selects the optical/IR case and is
+** wavelength in micrometers. Any value outside this range selects
+** the radio case.
+**
+** 4) Outlandish input parameters are silently limited to
+** mathematically safe values. Zero pressure is permissible, and
+** causes zeroes to be returned.
+**
+** 5) The algorithm draws on several sources, as follows:
+**
+** a) The formula for the saturation vapour pressure of water as
+** a function of temperature and temperature is taken from
+** Equations (A4.5-A4.7) of Gill (1982).
+**
+** b) The formula for the water vapour pressure, given the
+** saturation pressure and the relative humidity, is from
+** Crane (1976), Equation (2.5.5).
+**
+** c) The refractivity of air is a function of temperature,
+** total pressure, water-vapour pressure and, in the case
+** of optical/IR, wavelength. The formulae for the two cases are
+** developed from Hohenkerk & Sinclair (1985) and Rueger (2002).
+** The IAG (1999) optical refractivity for dry air is used.
+**
+** d) The formula for beta, the ratio of the scale height of the
+** atmosphere to the geocentric distance of the observer, is
+** an adaption of Equation (9) from Stone (1996). The
+** adaptations, arrived at empirically, consist of (i) a small
+** adjustment to the coefficient and (ii) a humidity term for the
+** radio case only.
+**
+** e) The formulae for the refraction constants as a function of
+** n-1 and beta are from Green (1987), Equation (4.31).
+**
+** References:
+**
+** Crane, R.K., Meeks, M.L. (ed), "Refraction Effects in the Neutral
+** Atmosphere", Methods of Experimental Physics: Astrophysics 12B,
+** Academic Press, 1976.
+**
+** Gill, Adrian E., "Atmosphere-Ocean Dynamics", Academic Press,
+** 1982.
+**
+** Green, R.M., "Spherical Astronomy", Cambridge University Press,
+** 1987.
+**
+** Hohenkerk, C.Y., & Sinclair, A.T., NAO Technical Note No. 63,
+** 1985.
+**
+** IAG Resolutions adopted at the XXIIth General Assembly in
+** Birmingham, 1999, Resolution 3.
+**
+** Rueger, J.M., "Refractive Index Formulae for Electronic Distance
+** Measurement with Radio and Millimetre Waves", in Unisurv Report
+** S-68, School of Surveying and Spatial Information Systems,
+** University of New South Wales, Sydney, Australia, 2002.
+**
+** Stone, Ronald C., P.A.S.P. 108, 1051-1058, 1996.
+**
+** This revision: 2021 February 24
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int optic;
+ double p, t, r, w, ps, pw, tk, wlsq, gamma, beta;
+
+
+/* Decide whether optical/IR or radio case: switch at 100 microns. */
+ optic = ( wl <= 100.0 );
+
+/* Restrict parameters to safe values. */
+ t = ERFA_GMAX ( tc, -150.0 );
+ t = ERFA_GMIN ( t, 200.0 );
+ p = ERFA_GMAX ( phpa, 0.0 );
+ p = ERFA_GMIN ( p, 10000.0 );
+ r = ERFA_GMAX ( rh, 0.0 );
+ r = ERFA_GMIN ( r, 1.0 );
+ w = ERFA_GMAX ( wl, 0.1 );
+ w = ERFA_GMIN ( w, 1e6 );
+
+/* Water vapour pressure at the observer. */
+ if ( p > 0.0 ) {
+ ps = pow ( 10.0, ( 0.7859 + 0.03477*t ) /
+ ( 1.0 + 0.00412*t ) ) *
+ ( 1.0 + p * ( 4.5e-6 + 6e-10*t*t ) );
+ pw = r * ps / ( 1.0 - (1.0-r)*ps/p );
+ } else {
+ pw = 0.0;
+ }
+
+/* Refractive index minus 1 at the observer. */
+ tk = t + 273.15;
+ if ( optic ) {
+ wlsq = w * w;
+ gamma = ( ( 77.53484e-6 +
+ ( 4.39108e-7 + 3.666e-9/wlsq ) / wlsq ) * p
+ - 11.2684e-6*pw ) / tk;
+ } else {
+ gamma = ( 77.6890e-6*p - ( 6.3938e-6 - 0.375463/tk ) * pw ) / tk;
+ }
+
+/* Formula for beta from Stone, with empirical adjustments. */
+ beta = 4.4474e-6 * tk;
+ if ( ! optic ) beta -= 0.0074 * pw * beta;
+
+/* Refraction constants from Green. */
+ *refa = gamma * ( 1.0 - beta );
+ *refb = - gamma * ( beta - gamma / 2.0 );
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/rm2v.c b/src/detail/erfa/rm2v.c
new file mode 100644
index 000000000..f33b312fa
--- /dev/null
+++ b/src/detail/erfa/rm2v.c
@@ -0,0 +1,122 @@
+#include "erfa.h"
+
+void eraRm2v(double r[3][3], double w[3])
+/*
+** - - - - - - - -
+** e r a R m 2 v
+** - - - - - - - -
+**
+** Express an r-matrix as an r-vector.
+**
+** Given:
+** r double[3][3] rotation matrix
+**
+** Returned:
+** w double[3] rotation vector (Note 1)
+**
+** Notes:
+**
+** 1) A rotation matrix describes a rotation through some angle about
+** some arbitrary axis called the Euler axis. The "rotation vector"
+** returned by this function has the same direction as the Euler axis,
+** and its magnitude is the angle in radians. (The magnitude and
+** direction can be separated by means of the function eraPn.)
+**
+** 2) If r is null, so is the result. If r is not a rotation matrix
+** the result is undefined; r must be proper (i.e. have a positive
+** determinant) and real orthogonal (inverse = transpose).
+**
+** 3) The reference frame rotates clockwise as seen looking along
+** the rotation vector from the origin.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double x, y, z, s2, c2, phi, f;
+
+
+ x = r[1][2] - r[2][1];
+ y = r[2][0] - r[0][2];
+ z = r[0][1] - r[1][0];
+ s2 = sqrt(x*x + y*y + z*z);
+ if (s2 > 0) {
+ c2 = r[0][0] + r[1][1] + r[2][2] - 1.0;
+ phi = atan2(s2, c2);
+ f = phi / s2;
+ w[0] = x * f;
+ w[1] = y * f;
+ w[2] = z * f;
+ } else {
+ w[0] = 0.0;
+ w[1] = 0.0;
+ w[2] = 0.0;
+ }
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/rv2m.c b/src/detail/erfa/rv2m.c
new file mode 100644
index 000000000..25f66ade1
--- /dev/null
+++ b/src/detail/erfa/rv2m.c
@@ -0,0 +1,129 @@
+#include "erfa.h"
+
+void eraRv2m(double w[3], double r[3][3])
+/*
+** - - - - - - - -
+** e r a R v 2 m
+** - - - - - - - -
+**
+** Form the r-matrix corresponding to a given r-vector.
+**
+** Given:
+** w double[3] rotation vector (Note 1)
+**
+** Returned:
+** r double[3][3] rotation matrix
+**
+** Notes:
+**
+** 1) A rotation matrix describes a rotation through some angle about
+** some arbitrary axis called the Euler axis. The "rotation vector"
+** supplied to This function has the same direction as the Euler
+** axis, and its magnitude is the angle in radians.
+**
+** 2) If w is null, the identity matrix is returned.
+**
+** 3) The reference frame rotates clockwise as seen looking along the
+** rotation vector from the origin.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double x, y, z, phi, s, c, f;
+
+
+/* Euler angle (magnitude of rotation vector) and functions. */
+ x = w[0];
+ y = w[1];
+ z = w[2];
+ phi = sqrt(x*x + y*y + z*z);
+ s = sin(phi);
+ c = cos(phi);
+ f = 1.0 - c;
+
+/* Euler axis (direction of rotation vector), perhaps null. */
+ if (phi > 0.0) {
+ x /= phi;
+ y /= phi;
+ z /= phi;
+ }
+
+/* Form the rotation matrix. */
+ r[0][0] = x*x*f + c;
+ r[0][1] = x*y*f + z*s;
+ r[0][2] = x*z*f - y*s;
+ r[1][0] = y*x*f - z*s;
+ r[1][1] = y*y*f + c;
+ r[1][2] = y*z*f + x*s;
+ r[2][0] = z*x*f + y*s;
+ r[2][1] = z*y*f - x*s;
+ r[2][2] = z*z*f + c;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/rx.c b/src/detail/erfa/rx.c
new file mode 100644
index 000000000..5aa39b739
--- /dev/null
+++ b/src/detail/erfa/rx.c
@@ -0,0 +1,121 @@
+#include "erfa.h"
+
+void eraRx(double phi, double r[3][3])
+/*
+** - - - - - -
+** e r a R x
+** - - - - - -
+**
+** Rotate an r-matrix about the x-axis.
+**
+** Given:
+** phi double angle (radians)
+**
+** Given and returned:
+** r double[3][3] r-matrix, rotated
+**
+** Notes:
+**
+** 1) Calling this function with positive phi incorporates in the
+** supplied r-matrix r an additional rotation, about the x-axis,
+** anticlockwise as seen looking towards the origin from positive x.
+**
+** 2) The additional rotation can be represented by this matrix:
+**
+** ( 1 0 0 )
+** ( )
+** ( 0 + cos(phi) + sin(phi) )
+** ( )
+** ( 0 - sin(phi) + cos(phi) )
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double s, c, a10, a11, a12, a20, a21, a22;
+
+
+ s = sin(phi);
+ c = cos(phi);
+
+ a10 = c*r[1][0] + s*r[2][0];
+ a11 = c*r[1][1] + s*r[2][1];
+ a12 = c*r[1][2] + s*r[2][2];
+ a20 = - s*r[1][0] + c*r[2][0];
+ a21 = - s*r[1][1] + c*r[2][1];
+ a22 = - s*r[1][2] + c*r[2][2];
+
+ r[1][0] = a10;
+ r[1][1] = a11;
+ r[1][2] = a12;
+ r[2][0] = a20;
+ r[2][1] = a21;
+ r[2][2] = a22;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/rxp.c b/src/detail/erfa/rxp.c
new file mode 100644
index 000000000..c54294750
--- /dev/null
+++ b/src/detail/erfa/rxp.c
@@ -0,0 +1,110 @@
+#include "erfa.h"
+
+void eraRxp(double r[3][3], double p[3], double rp[3])
+/*
+** - - - - - - -
+** e r a R x p
+** - - - - - - -
+**
+** Multiply a p-vector by an r-matrix.
+**
+** Given:
+** r double[3][3] r-matrix
+** p double[3] p-vector
+**
+** Returned:
+** rp double[3] r * p
+**
+** Note:
+** It is permissible for p and rp to be the same array.
+**
+** Called:
+** eraCp copy p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double w, wrp[3];
+ int i, j;
+
+
+/* Matrix r * vector p. */
+ for (j = 0; j < 3; j++) {
+ w = 0.0;
+ for (i = 0; i < 3; i++) {
+ w += r[j][i] * p[i];
+ }
+ wrp[j] = w;
+ }
+
+/* Return the result. */
+ eraCp(wrp, rp);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/rxpv.c b/src/detail/erfa/rxpv.c
new file mode 100644
index 000000000..37b6fedfa
--- /dev/null
+++ b/src/detail/erfa/rxpv.c
@@ -0,0 +1,103 @@
+#include "erfa.h"
+
+void eraRxpv(double r[3][3], double pv[2][3], double rpv[2][3])
+/*
+** - - - - - - - -
+** e r a R x p v
+** - - - - - - - -
+**
+** Multiply a pv-vector by an r-matrix.
+**
+** Given:
+** r double[3][3] r-matrix
+** pv double[2][3] pv-vector
+**
+** Returned:
+** rpv double[2][3] r * pv
+**
+** Notes:
+**
+** 1) The algorithm is for the simple case where the r-matrix r is not
+** a function of time. The case where r is a function of time leads
+** to an additional velocity component equal to the product of the
+** derivative of r and the position vector.
+**
+** 2) It is permissible for pv and rpv to be the same array.
+**
+** Called:
+** eraRxp product of r-matrix and p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ eraRxp(r, pv[0], rpv[0]);
+ eraRxp(r, pv[1], rpv[1]);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/rxr.c b/src/detail/erfa/rxr.c
new file mode 100644
index 000000000..2337436b4
--- /dev/null
+++ b/src/detail/erfa/rxr.c
@@ -0,0 +1,110 @@
+#include "erfa.h"
+
+void eraRxr(double a[3][3], double b[3][3], double atb[3][3])
+/*
+** - - - - - - -
+** e r a R x r
+** - - - - - - -
+**
+** Multiply two r-matrices.
+**
+** Given:
+** a double[3][3] first r-matrix
+** b double[3][3] second r-matrix
+**
+** Returned:
+** atb double[3][3] a * b
+**
+** Note:
+** It is permissible to re-use the same array for any of the
+** arguments.
+**
+** Called:
+** eraCr copy r-matrix
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int i, j, k;
+ double w, wm[3][3];
+
+
+ for (i = 0; i < 3; i++) {
+ for (j = 0; j < 3; j++) {
+ w = 0.0;
+ for (k = 0; k < 3; k++) {
+ w += a[i][k] * b[k][j];
+ }
+ wm[i][j] = w;
+ }
+ }
+ eraCr(wm, atb);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ry.c b/src/detail/erfa/ry.c
new file mode 100644
index 000000000..cbdbf55f2
--- /dev/null
+++ b/src/detail/erfa/ry.c
@@ -0,0 +1,121 @@
+#include "erfa.h"
+
+void eraRy(double theta, double r[3][3])
+/*
+** - - - - - -
+** e r a R y
+** - - - - - -
+**
+** Rotate an r-matrix about the y-axis.
+**
+** Given:
+** theta double angle (radians)
+**
+** Given and returned:
+** r double[3][3] r-matrix, rotated
+**
+** Notes:
+**
+** 1) Calling this function with positive theta incorporates in the
+** supplied r-matrix r an additional rotation, about the y-axis,
+** anticlockwise as seen looking towards the origin from positive y.
+**
+** 2) The additional rotation can be represented by this matrix:
+**
+** ( + cos(theta) 0 - sin(theta) )
+** ( )
+** ( 0 1 0 )
+** ( )
+** ( + sin(theta) 0 + cos(theta) )
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double s, c, a00, a01, a02, a20, a21, a22;
+
+
+ s = sin(theta);
+ c = cos(theta);
+
+ a00 = c*r[0][0] - s*r[2][0];
+ a01 = c*r[0][1] - s*r[2][1];
+ a02 = c*r[0][2] - s*r[2][2];
+ a20 = s*r[0][0] + c*r[2][0];
+ a21 = s*r[0][1] + c*r[2][1];
+ a22 = s*r[0][2] + c*r[2][2];
+
+ r[0][0] = a00;
+ r[0][1] = a01;
+ r[0][2] = a02;
+ r[2][0] = a20;
+ r[2][1] = a21;
+ r[2][2] = a22;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/rz.c b/src/detail/erfa/rz.c
new file mode 100644
index 000000000..ffed24d20
--- /dev/null
+++ b/src/detail/erfa/rz.c
@@ -0,0 +1,121 @@
+#include "erfa.h"
+
+void eraRz(double psi, double r[3][3])
+/*
+** - - - - - -
+** e r a R z
+** - - - - - -
+**
+** Rotate an r-matrix about the z-axis.
+**
+** Given:
+** psi double angle (radians)
+**
+** Given and returned:
+** r double[3][3] r-matrix, rotated
+**
+** Notes:
+**
+** 1) Calling this function with positive psi incorporates in the
+** supplied r-matrix r an additional rotation, about the z-axis,
+** anticlockwise as seen looking towards the origin from positive z.
+**
+** 2) The additional rotation can be represented by this matrix:
+**
+** ( + cos(psi) + sin(psi) 0 )
+** ( )
+** ( - sin(psi) + cos(psi) 0 )
+** ( )
+** ( 0 0 1 )
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double s, c, a00, a01, a02, a10, a11, a12;
+
+
+ s = sin(psi);
+ c = cos(psi);
+
+ a00 = c*r[0][0] + s*r[1][0];
+ a01 = c*r[0][1] + s*r[1][1];
+ a02 = c*r[0][2] + s*r[1][2];
+ a10 = - s*r[0][0] + c*r[1][0];
+ a11 = - s*r[0][1] + c*r[1][1];
+ a12 = - s*r[0][2] + c*r[1][2];
+
+ r[0][0] = a00;
+ r[0][1] = a01;
+ r[0][2] = a02;
+ r[1][0] = a10;
+ r[1][1] = a11;
+ r[1][2] = a12;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/s00.c b/src/detail/erfa/s00.c
new file mode 100644
index 000000000..07428ac17
--- /dev/null
+++ b/src/detail/erfa/s00.c
@@ -0,0 +1,385 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraS00(double date1, double date2, double x, double y)
+/*
+** - - - - - - -
+** e r a S 0 0
+** - - - - - - -
+**
+** The CIO locator s, positioning the Celestial Intermediate Origin on
+** the equator of the Celestial Intermediate Pole, given the CIP's X,Y
+** coordinates. Compatible with IAU 2000A precession-nutation.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+** x,y double CIP coordinates (Note 3)
+**
+** Returned (function value):
+** double the CIO locator s in radians (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The CIO locator s is the difference between the right ascensions
+** of the same point in two systems: the two systems are the GCRS
+** and the CIP,CIO, and the point is the ascending node of the
+** CIP equator. The quantity s remains below 0.1 arcsecond
+** throughout 1900-2100.
+**
+** 3) The series used to compute s is in fact for s+XY/2, where X and Y
+** are the x and y components of the CIP unit vector; this series
+** is more compact than a direct series for s would be. This
+** function requires X,Y to be supplied by the caller, who is
+** responsible for providing values that are consistent with the
+** supplied date.
+**
+** 4) The model is consistent with the IAU 2000A precession-nutation.
+**
+** Called:
+** eraFal03 mean anomaly of the Moon
+** eraFalp03 mean anomaly of the Sun
+** eraFaf03 mean argument of the latitude of the Moon
+** eraFad03 mean elongation of the Moon from the Sun
+** eraFaom03 mean longitude of the Moon's ascending node
+** eraFave03 mean longitude of Venus
+** eraFae03 mean longitude of Earth
+** eraFapa03 general accumulated precession in longitude
+**
+** References:
+**
+** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P.,
+** "Expressions for the Celestial Intermediate Pole and Celestial
+** Ephemeris Origin consistent with the IAU 2000A precession-
+** nutation model", Astron.Astrophys. 400, 1145-1154 (2003)
+**
+** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
+** intermediate origin" (CIO) by IAU 2006 Resolution 2.
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Time since J2000.0, in Julian centuries */
+ double t;
+
+/* Miscellaneous */
+ int i, j;
+ double a, w0, w1, w2, w3, w4, w5;
+
+/* Fundamental arguments */
+ double fa[8];
+
+/* Returned value */
+ double s;
+
+/* --------------------- */
+/* The series for s+XY/2 */
+/* --------------------- */
+
+ typedef struct {
+ int nfa[8]; /* coefficients of l,l',F,D,Om,LVe,LE,pA */
+ double s, c; /* sine and cosine coefficients */
+ } TERM;
+
+/* Polynomial coefficients */
+ static const double sp[] = {
+
+ /* 1-6 */
+ 94.00e-6,
+ 3808.35e-6,
+ -119.94e-6,
+ -72574.09e-6,
+ 27.70e-6,
+ 15.61e-6
+ };
+
+/* Terms of order t^0 */
+ static const TERM s0[] = {
+
+ /* 1-10 */
+ {{ 0, 0, 0, 0, 1, 0, 0, 0}, -2640.73e-6, 0.39e-6 },
+ {{ 0, 0, 0, 0, 2, 0, 0, 0}, -63.53e-6, 0.02e-6 },
+ {{ 0, 0, 2, -2, 3, 0, 0, 0}, -11.75e-6, -0.01e-6 },
+ {{ 0, 0, 2, -2, 1, 0, 0, 0}, -11.21e-6, -0.01e-6 },
+ {{ 0, 0, 2, -2, 2, 0, 0, 0}, 4.57e-6, 0.00e-6 },
+ {{ 0, 0, 2, 0, 3, 0, 0, 0}, -2.02e-6, 0.00e-6 },
+ {{ 0, 0, 2, 0, 1, 0, 0, 0}, -1.98e-6, 0.00e-6 },
+ {{ 0, 0, 0, 0, 3, 0, 0, 0}, 1.72e-6, 0.00e-6 },
+ {{ 0, 1, 0, 0, 1, 0, 0, 0}, 1.41e-6, 0.01e-6 },
+ {{ 0, 1, 0, 0, -1, 0, 0, 0}, 1.26e-6, 0.01e-6 },
+
+ /* 11-20 */
+ {{ 1, 0, 0, 0, -1, 0, 0, 0}, 0.63e-6, 0.00e-6 },
+ {{ 1, 0, 0, 0, 1, 0, 0, 0}, 0.63e-6, 0.00e-6 },
+ {{ 0, 1, 2, -2, 3, 0, 0, 0}, -0.46e-6, 0.00e-6 },
+ {{ 0, 1, 2, -2, 1, 0, 0, 0}, -0.45e-6, 0.00e-6 },
+ {{ 0, 0, 4, -4, 4, 0, 0, 0}, -0.36e-6, 0.00e-6 },
+ {{ 0, 0, 1, -1, 1, -8, 12, 0}, 0.24e-6, 0.12e-6 },
+ {{ 0, 0, 2, 0, 0, 0, 0, 0}, -0.32e-6, 0.00e-6 },
+ {{ 0, 0, 2, 0, 2, 0, 0, 0}, -0.28e-6, 0.00e-6 },
+ {{ 1, 0, 2, 0, 3, 0, 0, 0}, -0.27e-6, 0.00e-6 },
+ {{ 1, 0, 2, 0, 1, 0, 0, 0}, -0.26e-6, 0.00e-6 },
+
+ /* 21-30 */
+ {{ 0, 0, 2, -2, 0, 0, 0, 0}, 0.21e-6, 0.00e-6 },
+ {{ 0, 1, -2, 2, -3, 0, 0, 0}, -0.19e-6, 0.00e-6 },
+ {{ 0, 1, -2, 2, -1, 0, 0, 0}, -0.18e-6, 0.00e-6 },
+ {{ 0, 0, 0, 0, 0, 8,-13, -1}, 0.10e-6, -0.05e-6 },
+ {{ 0, 0, 0, 2, 0, 0, 0, 0}, -0.15e-6, 0.00e-6 },
+ {{ 2, 0, -2, 0, -1, 0, 0, 0}, 0.14e-6, 0.00e-6 },
+ {{ 0, 1, 2, -2, 2, 0, 0, 0}, 0.14e-6, 0.00e-6 },
+ {{ 1, 0, 0, -2, 1, 0, 0, 0}, -0.14e-6, 0.00e-6 },
+ {{ 1, 0, 0, -2, -1, 0, 0, 0}, -0.14e-6, 0.00e-6 },
+ {{ 0, 0, 4, -2, 4, 0, 0, 0}, -0.13e-6, 0.00e-6 },
+
+ /* 31-33 */
+ {{ 0, 0, 2, -2, 4, 0, 0, 0}, 0.11e-6, 0.00e-6 },
+ {{ 1, 0, -2, 0, -3, 0, 0, 0}, -0.11e-6, 0.00e-6 },
+ {{ 1, 0, -2, 0, -1, 0, 0, 0}, -0.11e-6, 0.00e-6 }
+ };
+
+/* Terms of order t^1 */
+ static const TERM s1[] ={
+
+ /* 1-3 */
+ {{ 0, 0, 0, 0, 2, 0, 0, 0}, -0.07e-6, 3.57e-6 },
+ {{ 0, 0, 0, 0, 1, 0, 0, 0}, 1.71e-6, -0.03e-6 },
+ {{ 0, 0, 2, -2, 3, 0, 0, 0}, 0.00e-6, 0.48e-6 }
+ };
+
+/* Terms of order t^2 */
+ static const TERM s2[] ={
+
+ /* 1-10 */
+ {{ 0, 0, 0, 0, 1, 0, 0, 0}, 743.53e-6, -0.17e-6 },
+ {{ 0, 0, 2, -2, 2, 0, 0, 0}, 56.91e-6, 0.06e-6 },
+ {{ 0, 0, 2, 0, 2, 0, 0, 0}, 9.84e-6, -0.01e-6 },
+ {{ 0, 0, 0, 0, 2, 0, 0, 0}, -8.85e-6, 0.01e-6 },
+ {{ 0, 1, 0, 0, 0, 0, 0, 0}, -6.38e-6, -0.05e-6 },
+ {{ 1, 0, 0, 0, 0, 0, 0, 0}, -3.07e-6, 0.00e-6 },
+ {{ 0, 1, 2, -2, 2, 0, 0, 0}, 2.23e-6, 0.00e-6 },
+ {{ 0, 0, 2, 0, 1, 0, 0, 0}, 1.67e-6, 0.00e-6 },
+ {{ 1, 0, 2, 0, 2, 0, 0, 0}, 1.30e-6, 0.00e-6 },
+ {{ 0, 1, -2, 2, -2, 0, 0, 0}, 0.93e-6, 0.00e-6 },
+
+ /* 11-20 */
+ {{ 1, 0, 0, -2, 0, 0, 0, 0}, 0.68e-6, 0.00e-6 },
+ {{ 0, 0, 2, -2, 1, 0, 0, 0}, -0.55e-6, 0.00e-6 },
+ {{ 1, 0, -2, 0, -2, 0, 0, 0}, 0.53e-6, 0.00e-6 },
+ {{ 0, 0, 0, 2, 0, 0, 0, 0}, -0.27e-6, 0.00e-6 },
+ {{ 1, 0, 0, 0, 1, 0, 0, 0}, -0.27e-6, 0.00e-6 },
+ {{ 1, 0, -2, -2, -2, 0, 0, 0}, -0.26e-6, 0.00e-6 },
+ {{ 1, 0, 0, 0, -1, 0, 0, 0}, -0.25e-6, 0.00e-6 },
+ {{ 1, 0, 2, 0, 1, 0, 0, 0}, 0.22e-6, 0.00e-6 },
+ {{ 2, 0, 0, -2, 0, 0, 0, 0}, -0.21e-6, 0.00e-6 },
+ {{ 2, 0, -2, 0, -1, 0, 0, 0}, 0.20e-6, 0.00e-6 },
+
+ /* 21-25 */
+ {{ 0, 0, 2, 2, 2, 0, 0, 0}, 0.17e-6, 0.00e-6 },
+ {{ 2, 0, 2, 0, 2, 0, 0, 0}, 0.13e-6, 0.00e-6 },
+ {{ 2, 0, 0, 0, 0, 0, 0, 0}, -0.13e-6, 0.00e-6 },
+ {{ 1, 0, 2, -2, 2, 0, 0, 0}, -0.12e-6, 0.00e-6 },
+ {{ 0, 0, 2, 0, 0, 0, 0, 0}, -0.11e-6, 0.00e-6 }
+ };
+
+/* Terms of order t^3 */
+ static const TERM s3[] ={
+
+ /* 1-4 */
+ {{ 0, 0, 0, 0, 1, 0, 0, 0}, 0.30e-6, -23.51e-6 },
+ {{ 0, 0, 2, -2, 2, 0, 0, 0}, -0.03e-6, -1.39e-6 },
+ {{ 0, 0, 2, 0, 2, 0, 0, 0}, -0.01e-6, -0.24e-6 },
+ {{ 0, 0, 0, 0, 2, 0, 0, 0}, 0.00e-6, 0.22e-6 }
+ };
+
+/* Terms of order t^4 */
+ static const TERM s4[] ={
+
+ /* 1-1 */
+ {{ 0, 0, 0, 0, 1, 0, 0, 0}, -0.26e-6, -0.01e-6 }
+ };
+
+/* Number of terms in the series */
+ const int NS0 = (int) (sizeof s0 / sizeof (TERM));
+ const int NS1 = (int) (sizeof s1 / sizeof (TERM));
+ const int NS2 = (int) (sizeof s2 / sizeof (TERM));
+ const int NS3 = (int) (sizeof s3 / sizeof (TERM));
+ const int NS4 = (int) (sizeof s4 / sizeof (TERM));
+
+/* ------------------------------------------------------------------ */
+
+/* Interval between fundamental epoch J2000.0 and current date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* Fundamental Arguments (from IERS Conventions 2003) */
+
+/* Mean anomaly of the Moon. */
+ fa[0] = eraFal03(t);
+
+/* Mean anomaly of the Sun. */
+ fa[1] = eraFalp03(t);
+
+/* Mean longitude of the Moon minus that of the ascending node. */
+ fa[2] = eraFaf03(t);
+
+/* Mean elongation of the Moon from the Sun. */
+ fa[3] = eraFad03(t);
+
+/* Mean longitude of the ascending node of the Moon. */
+ fa[4] = eraFaom03(t);
+
+/* Mean longitude of Venus. */
+ fa[5] = eraFave03(t);
+
+/* Mean longitude of Earth. */
+ fa[6] = eraFae03(t);
+
+/* General precession in longitude. */
+ fa[7] = eraFapa03(t);
+
+/* Evaluate s. */
+ w0 = sp[0];
+ w1 = sp[1];
+ w2 = sp[2];
+ w3 = sp[3];
+ w4 = sp[4];
+ w5 = sp[5];
+
+ for (i = NS0-1; i >= 0; i--) {
+ a = 0.0;
+ for (j = 0; j < 8; j++) {
+ a += (double)s0[i].nfa[j] * fa[j];
+ }
+ w0 += s0[i].s * sin(a) + s0[i].c * cos(a);
+ }
+
+ for (i = NS1-1; i >= 0; i--) {
+ a = 0.0;
+ for (j = 0; j < 8; j++) {
+ a += (double)s1[i].nfa[j] * fa[j];
+ }
+ w1 += s1[i].s * sin(a) + s1[i].c * cos(a);
+ }
+
+ for (i = NS2-1; i >= 0; i--) {
+ a = 0.0;
+ for (j = 0; j < 8; j++) {
+ a += (double)s2[i].nfa[j] * fa[j];
+ }
+ w2 += s2[i].s * sin(a) + s2[i].c * cos(a);
+ }
+
+ for (i = NS3-1; i >= 0; i--) {
+ a = 0.0;
+ for (j = 0; j < 8; j++) {
+ a += (double)s3[i].nfa[j] * fa[j];
+ }
+ w3 += s3[i].s * sin(a) + s3[i].c * cos(a);
+ }
+
+ for (i = NS4-1; i >= 0; i--) {
+ a = 0.0;
+ for (j = 0; j < 8; j++) {
+ a += (double)s4[i].nfa[j] * fa[j];
+ }
+ w4 += s4[i].s * sin(a) + s4[i].c * cos(a);
+ }
+
+ s = (w0 +
+ (w1 +
+ (w2 +
+ (w3 +
+ (w4 +
+ w5 * t) * t) * t) * t) * t) * ERFA_DAS2R - x*y/2.0;
+
+ return s;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/s00a.c b/src/detail/erfa/s00a.c
new file mode 100644
index 000000000..ef4f7367d
--- /dev/null
+++ b/src/detail/erfa/s00a.c
@@ -0,0 +1,156 @@
+#include "erfa.h"
+
+double eraS00a(double date1, double date2)
+/*
+** - - - - - - - -
+** e r a S 0 0 a
+** - - - - - - - -
+**
+** The CIO locator s, positioning the Celestial Intermediate Origin on
+** the equator of the Celestial Intermediate Pole, using the IAU 2000A
+** precession-nutation model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned (function value):
+** double the CIO locator s in radians (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The CIO locator s is the difference between the right ascensions
+** of the same point in two systems. The two systems are the GCRS
+** and the CIP,CIO, and the point is the ascending node of the
+** CIP equator. The CIO locator s remains a small fraction of
+** 1 arcsecond throughout 1900-2100.
+**
+** 3) The series used to compute s is in fact for s+XY/2, where X and Y
+** are the x and y components of the CIP unit vector; this series
+** is more compact than a direct series for s would be. The present
+** function uses the full IAU 2000A nutation model when predicting
+** the CIP position. Faster results, with no significant loss of
+** accuracy, can be obtained via the function eraS00b, which uses
+** instead the IAU 2000B truncated model.
+**
+** Called:
+** eraPnm00a classical NPB matrix, IAU 2000A
+** eraBnp2xy extract CIP X,Y from the BPN matrix
+** eraS00 the CIO locator s, given X,Y, IAU 2000A
+**
+** References:
+**
+** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P.,
+** "Expressions for the Celestial Intermediate Pole and Celestial
+** Ephemeris Origin consistent with the IAU 2000A precession-
+** nutation model", Astron.Astrophys. 400, 1145-1154 (2003)
+**
+** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
+** intermediate origin" (CIO) by IAU 2006 Resolution 2.
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rbpn[3][3], x, y, s;
+
+
+/* Bias-precession-nutation-matrix, IAU 2000A. */
+ eraPnm00a(date1, date2, rbpn);
+
+/* Extract the CIP coordinates. */
+ eraBpn2xy(rbpn, &x, &y);
+
+/* Compute the CIO locator s, given the CIP coordinates. */
+ s = eraS00(date1, date2, x, y);
+
+ return s;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/s00b.c b/src/detail/erfa/s00b.c
new file mode 100644
index 000000000..d9034b90c
--- /dev/null
+++ b/src/detail/erfa/s00b.c
@@ -0,0 +1,156 @@
+#include "erfa.h"
+
+double eraS00b(double date1, double date2)
+/*
+** - - - - - - - -
+** e r a S 0 0 b
+** - - - - - - - -
+**
+** The CIO locator s, positioning the Celestial Intermediate Origin on
+** the equator of the Celestial Intermediate Pole, using the IAU 2000B
+** precession-nutation model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned (function value):
+** double the CIO locator s in radians (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The CIO locator s is the difference between the right ascensions
+** of the same point in two systems. The two systems are the GCRS
+** and the CIP,CIO, and the point is the ascending node of the
+** CIP equator. The CIO locator s remains a small fraction of
+** 1 arcsecond throughout 1900-2100.
+**
+** 3) The series used to compute s is in fact for s+XY/2, where X and Y
+** are the x and y components of the CIP unit vector; this series
+** is more compact than a direct series for s would be. The present
+** function uses the IAU 2000B truncated nutation model when
+** predicting the CIP position. The function eraS00a uses instead
+** the full IAU 2000A model, but with no significant increase in
+** accuracy and at some cost in speed.
+**
+** Called:
+** eraPnm00b classical NPB matrix, IAU 2000B
+** eraBnp2xy extract CIP X,Y from the BPN matrix
+** eraS00 the CIO locator s, given X,Y, IAU 2000A
+**
+** References:
+**
+** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P.,
+** "Expressions for the Celestial Intermediate Pole and Celestial
+** Ephemeris Origin consistent with the IAU 2000A precession-
+** nutation model", Astron.Astrophys. 400, 1145-1154 (2003)
+**
+** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
+** intermediate origin" (CIO) by IAU 2006 Resolution 2.
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rbpn[3][3], x, y, s;
+
+
+/* Bias-precession-nutation-matrix, IAU 2000B. */
+ eraPnm00b(date1, date2, rbpn);
+
+/* Extract the CIP coordinates. */
+ eraBpn2xy(rbpn, &x, &y);
+
+/* Compute the CIO locator s, given the CIP coordinates. */
+ s = eraS00(date1, date2, x, y);
+
+ return s;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/s06.c b/src/detail/erfa/s06.c
new file mode 100644
index 000000000..f98df7b70
--- /dev/null
+++ b/src/detail/erfa/s06.c
@@ -0,0 +1,382 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraS06(double date1, double date2, double x, double y)
+/*
+** - - - - - - -
+** e r a S 0 6
+** - - - - - - -
+**
+** The CIO locator s, positioning the Celestial Intermediate Origin on
+** the equator of the Celestial Intermediate Pole, given the CIP's X,Y
+** coordinates. Compatible with IAU 2006/2000A precession-nutation.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+** x,y double CIP coordinates (Note 3)
+**
+** Returned (function value):
+** double the CIO locator s in radians (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The CIO locator s is the difference between the right ascensions
+** of the same point in two systems: the two systems are the GCRS
+** and the CIP,CIO, and the point is the ascending node of the
+** CIP equator. The quantity s remains below 0.1 arcsecond
+** throughout 1900-2100.
+**
+** 3) The series used to compute s is in fact for s+XY/2, where X and Y
+** are the x and y components of the CIP unit vector; this series
+** is more compact than a direct series for s would be. This
+** function requires X,Y to be supplied by the caller, who is
+** responsible for providing values that are consistent with the
+** supplied date.
+**
+** 4) The model is consistent with the "P03" precession (Capitaine et
+** al. 2003), adopted by IAU 2006 Resolution 1, 2006, and the
+** IAU 2000A nutation (with P03 adjustments).
+**
+** Called:
+** eraFal03 mean anomaly of the Moon
+** eraFalp03 mean anomaly of the Sun
+** eraFaf03 mean argument of the latitude of the Moon
+** eraFad03 mean elongation of the Moon from the Sun
+** eraFaom03 mean longitude of the Moon's ascending node
+** eraFave03 mean longitude of Venus
+** eraFae03 mean longitude of Earth
+** eraFapa03 general accumulated precession in longitude
+**
+** References:
+**
+** Capitaine, N., Wallace, P.T. & Chapront, J., 2003, Astron.
+** Astrophys. 432, 355
+**
+** McCarthy, D.D., Petit, G. (eds.) 2004, IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Time since J2000.0, in Julian centuries */
+ double t;
+
+/* Miscellaneous */
+ int i, j;
+ double a, w0, w1, w2, w3, w4, w5;
+
+/* Fundamental arguments */
+ double fa[8];
+
+/* Returned value */
+ double s;
+
+/* --------------------- */
+/* The series for s+XY/2 */
+/* --------------------- */
+
+ typedef struct {
+ int nfa[8]; /* coefficients of l,l',F,D,Om,LVe,LE,pA */
+ double s, c; /* sine and cosine coefficients */
+ } TERM;
+
+/* Polynomial coefficients */
+ static const double sp[] = {
+
+ /* 1-6 */
+ 94.00e-6,
+ 3808.65e-6,
+ -122.68e-6,
+ -72574.11e-6,
+ 27.98e-6,
+ 15.62e-6
+ };
+
+/* Terms of order t^0 */
+ static const TERM s0[] = {
+
+ /* 1-10 */
+ {{ 0, 0, 0, 0, 1, 0, 0, 0}, -2640.73e-6, 0.39e-6 },
+ {{ 0, 0, 0, 0, 2, 0, 0, 0}, -63.53e-6, 0.02e-6 },
+ {{ 0, 0, 2, -2, 3, 0, 0, 0}, -11.75e-6, -0.01e-6 },
+ {{ 0, 0, 2, -2, 1, 0, 0, 0}, -11.21e-6, -0.01e-6 },
+ {{ 0, 0, 2, -2, 2, 0, 0, 0}, 4.57e-6, 0.00e-6 },
+ {{ 0, 0, 2, 0, 3, 0, 0, 0}, -2.02e-6, 0.00e-6 },
+ {{ 0, 0, 2, 0, 1, 0, 0, 0}, -1.98e-6, 0.00e-6 },
+ {{ 0, 0, 0, 0, 3, 0, 0, 0}, 1.72e-6, 0.00e-6 },
+ {{ 0, 1, 0, 0, 1, 0, 0, 0}, 1.41e-6, 0.01e-6 },
+ {{ 0, 1, 0, 0, -1, 0, 0, 0}, 1.26e-6, 0.01e-6 },
+
+ /* 11-20 */
+ {{ 1, 0, 0, 0, -1, 0, 0, 0}, 0.63e-6, 0.00e-6 },
+ {{ 1, 0, 0, 0, 1, 0, 0, 0}, 0.63e-6, 0.00e-6 },
+ {{ 0, 1, 2, -2, 3, 0, 0, 0}, -0.46e-6, 0.00e-6 },
+ {{ 0, 1, 2, -2, 1, 0, 0, 0}, -0.45e-6, 0.00e-6 },
+ {{ 0, 0, 4, -4, 4, 0, 0, 0}, -0.36e-6, 0.00e-6 },
+ {{ 0, 0, 1, -1, 1, -8, 12, 0}, 0.24e-6, 0.12e-6 },
+ {{ 0, 0, 2, 0, 0, 0, 0, 0}, -0.32e-6, 0.00e-6 },
+ {{ 0, 0, 2, 0, 2, 0, 0, 0}, -0.28e-6, 0.00e-6 },
+ {{ 1, 0, 2, 0, 3, 0, 0, 0}, -0.27e-6, 0.00e-6 },
+ {{ 1, 0, 2, 0, 1, 0, 0, 0}, -0.26e-6, 0.00e-6 },
+
+ /* 21-30 */
+ {{ 0, 0, 2, -2, 0, 0, 0, 0}, 0.21e-6, 0.00e-6 },
+ {{ 0, 1, -2, 2, -3, 0, 0, 0}, -0.19e-6, 0.00e-6 },
+ {{ 0, 1, -2, 2, -1, 0, 0, 0}, -0.18e-6, 0.00e-6 },
+ {{ 0, 0, 0, 0, 0, 8,-13, -1}, 0.10e-6, -0.05e-6 },
+ {{ 0, 0, 0, 2, 0, 0, 0, 0}, -0.15e-6, 0.00e-6 },
+ {{ 2, 0, -2, 0, -1, 0, 0, 0}, 0.14e-6, 0.00e-6 },
+ {{ 0, 1, 2, -2, 2, 0, 0, 0}, 0.14e-6, 0.00e-6 },
+ {{ 1, 0, 0, -2, 1, 0, 0, 0}, -0.14e-6, 0.00e-6 },
+ {{ 1, 0, 0, -2, -1, 0, 0, 0}, -0.14e-6, 0.00e-6 },
+ {{ 0, 0, 4, -2, 4, 0, 0, 0}, -0.13e-6, 0.00e-6 },
+
+ /* 31-33 */
+ {{ 0, 0, 2, -2, 4, 0, 0, 0}, 0.11e-6, 0.00e-6 },
+ {{ 1, 0, -2, 0, -3, 0, 0, 0}, -0.11e-6, 0.00e-6 },
+ {{ 1, 0, -2, 0, -1, 0, 0, 0}, -0.11e-6, 0.00e-6 }
+ };
+
+/* Terms of order t^1 */
+ static const TERM s1[] = {
+
+ /* 1 - 3 */
+ {{ 0, 0, 0, 0, 2, 0, 0, 0}, -0.07e-6, 3.57e-6 },
+ {{ 0, 0, 0, 0, 1, 0, 0, 0}, 1.73e-6, -0.03e-6 },
+ {{ 0, 0, 2, -2, 3, 0, 0, 0}, 0.00e-6, 0.48e-6 }
+ };
+
+/* Terms of order t^2 */
+ static const TERM s2[] = {
+
+ /* 1-10 */
+ {{ 0, 0, 0, 0, 1, 0, 0, 0}, 743.52e-6, -0.17e-6 },
+ {{ 0, 0, 2, -2, 2, 0, 0, 0}, 56.91e-6, 0.06e-6 },
+ {{ 0, 0, 2, 0, 2, 0, 0, 0}, 9.84e-6, -0.01e-6 },
+ {{ 0, 0, 0, 0, 2, 0, 0, 0}, -8.85e-6, 0.01e-6 },
+ {{ 0, 1, 0, 0, 0, 0, 0, 0}, -6.38e-6, -0.05e-6 },
+ {{ 1, 0, 0, 0, 0, 0, 0, 0}, -3.07e-6, 0.00e-6 },
+ {{ 0, 1, 2, -2, 2, 0, 0, 0}, 2.23e-6, 0.00e-6 },
+ {{ 0, 0, 2, 0, 1, 0, 0, 0}, 1.67e-6, 0.00e-6 },
+ {{ 1, 0, 2, 0, 2, 0, 0, 0}, 1.30e-6, 0.00e-6 },
+ {{ 0, 1, -2, 2, -2, 0, 0, 0}, 0.93e-6, 0.00e-6 },
+
+ /* 11-20 */
+ {{ 1, 0, 0, -2, 0, 0, 0, 0}, 0.68e-6, 0.00e-6 },
+ {{ 0, 0, 2, -2, 1, 0, 0, 0}, -0.55e-6, 0.00e-6 },
+ {{ 1, 0, -2, 0, -2, 0, 0, 0}, 0.53e-6, 0.00e-6 },
+ {{ 0, 0, 0, 2, 0, 0, 0, 0}, -0.27e-6, 0.00e-6 },
+ {{ 1, 0, 0, 0, 1, 0, 0, 0}, -0.27e-6, 0.00e-6 },
+ {{ 1, 0, -2, -2, -2, 0, 0, 0}, -0.26e-6, 0.00e-6 },
+ {{ 1, 0, 0, 0, -1, 0, 0, 0}, -0.25e-6, 0.00e-6 },
+ {{ 1, 0, 2, 0, 1, 0, 0, 0}, 0.22e-6, 0.00e-6 },
+ {{ 2, 0, 0, -2, 0, 0, 0, 0}, -0.21e-6, 0.00e-6 },
+ {{ 2, 0, -2, 0, -1, 0, 0, 0}, 0.20e-6, 0.00e-6 },
+
+ /* 21-25 */
+ {{ 0, 0, 2, 2, 2, 0, 0, 0}, 0.17e-6, 0.00e-6 },
+ {{ 2, 0, 2, 0, 2, 0, 0, 0}, 0.13e-6, 0.00e-6 },
+ {{ 2, 0, 0, 0, 0, 0, 0, 0}, -0.13e-6, 0.00e-6 },
+ {{ 1, 0, 2, -2, 2, 0, 0, 0}, -0.12e-6, 0.00e-6 },
+ {{ 0, 0, 2, 0, 0, 0, 0, 0}, -0.11e-6, 0.00e-6 }
+ };
+
+/* Terms of order t^3 */
+ static const TERM s3[] = {
+
+ /* 1-4 */
+ {{ 0, 0, 0, 0, 1, 0, 0, 0}, 0.30e-6, -23.42e-6 },
+ {{ 0, 0, 2, -2, 2, 0, 0, 0}, -0.03e-6, -1.46e-6 },
+ {{ 0, 0, 2, 0, 2, 0, 0, 0}, -0.01e-6, -0.25e-6 },
+ {{ 0, 0, 0, 0, 2, 0, 0, 0}, 0.00e-6, 0.23e-6 }
+ };
+
+/* Terms of order t^4 */
+ static const TERM s4[] = {
+
+ /* 1-1 */
+ {{ 0, 0, 0, 0, 1, 0, 0, 0}, -0.26e-6, -0.01e-6 }
+ };
+
+/* Number of terms in the series */
+ static const int NS0 = (int) (sizeof s0 / sizeof (TERM));
+ static const int NS1 = (int) (sizeof s1 / sizeof (TERM));
+ static const int NS2 = (int) (sizeof s2 / sizeof (TERM));
+ static const int NS3 = (int) (sizeof s3 / sizeof (TERM));
+ static const int NS4 = (int) (sizeof s4 / sizeof (TERM));
+
+/* ------------------------------------------------------------------ */
+
+/* Interval between fundamental epoch J2000.0 and current date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* Fundamental Arguments (from IERS Conventions 2003) */
+
+/* Mean anomaly of the Moon. */
+ fa[0] = eraFal03(t);
+
+/* Mean anomaly of the Sun. */
+ fa[1] = eraFalp03(t);
+
+/* Mean longitude of the Moon minus that of the ascending node. */
+ fa[2] = eraFaf03(t);
+
+/* Mean elongation of the Moon from the Sun. */
+ fa[3] = eraFad03(t);
+
+/* Mean longitude of the ascending node of the Moon. */
+ fa[4] = eraFaom03(t);
+
+/* Mean longitude of Venus. */
+ fa[5] = eraFave03(t);
+
+/* Mean longitude of Earth. */
+ fa[6] = eraFae03(t);
+
+/* General precession in longitude. */
+ fa[7] = eraFapa03(t);
+
+/* Evaluate s. */
+ w0 = sp[0];
+ w1 = sp[1];
+ w2 = sp[2];
+ w3 = sp[3];
+ w4 = sp[4];
+ w5 = sp[5];
+
+ for (i = NS0-1; i >= 0; i--) {
+ a = 0.0;
+ for (j = 0; j < 8; j++) {
+ a += (double)s0[i].nfa[j] * fa[j];
+ }
+ w0 += s0[i].s * sin(a) + s0[i].c * cos(a);
+ }
+
+ for (i = NS1-1; i >= 0; i--) {
+ a = 0.0;
+ for (j = 0; j < 8; j++) {
+ a += (double)s1[i].nfa[j] * fa[j];
+ }
+ w1 += s1[i].s * sin(a) + s1[i].c * cos(a);
+ }
+
+ for (i = NS2-1; i >= 0; i--) {
+ a = 0.0;
+ for (j = 0; j < 8; j++) {
+ a += (double)s2[i].nfa[j] * fa[j];
+ }
+ w2 += s2[i].s * sin(a) + s2[i].c * cos(a);
+ }
+
+ for (i = NS3-1; i >= 0; i--) {
+ a = 0.0;
+ for (j = 0; j < 8; j++) {
+ a += (double)s3[i].nfa[j] * fa[j];
+ }
+ w3 += s3[i].s * sin(a) + s3[i].c * cos(a);
+ }
+
+ for (i = NS4-1; i >= 0; i--) {
+ a = 0.0;
+ for (j = 0; j < 8; j++) {
+ a += (double)s4[i].nfa[j] * fa[j];
+ }
+ w4 += s4[i].s * sin(a) + s4[i].c * cos(a);
+ }
+
+ s = (w0 +
+ (w1 +
+ (w2 +
+ (w3 +
+ (w4 +
+ w5 * t) * t) * t) * t) * t) * ERFA_DAS2R - x*y/2.0;
+
+ return s;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/s06a.c b/src/detail/erfa/s06a.c
new file mode 100644
index 000000000..12f5b33a5
--- /dev/null
+++ b/src/detail/erfa/s06a.c
@@ -0,0 +1,158 @@
+#include "erfa.h"
+
+double eraS06a(double date1, double date2)
+/*
+** - - - - - - - -
+** e r a S 0 6 a
+** - - - - - - - -
+**
+** The CIO locator s, positioning the Celestial Intermediate Origin on
+** the equator of the Celestial Intermediate Pole, using the IAU 2006
+** precession and IAU 2000A nutation models.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned (function value):
+** double the CIO locator s in radians (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The CIO locator s is the difference between the right ascensions
+** of the same point in two systems. The two systems are the GCRS
+** and the CIP,CIO, and the point is the ascending node of the
+** CIP equator. The CIO locator s remains a small fraction of
+** 1 arcsecond throughout 1900-2100.
+**
+** 3) The series used to compute s is in fact for s+XY/2, where X and Y
+** are the x and y components of the CIP unit vector; this series is
+** more compact than a direct series for s would be. The present
+** function uses the full IAU 2000A nutation model when predicting
+** the CIP position.
+**
+** Called:
+** eraPnm06a classical NPB matrix, IAU 2006/2000A
+** eraBpn2xy extract CIP X,Y coordinates from NPB matrix
+** eraS06 the CIO locator s, given X,Y, IAU 2006
+**
+** References:
+**
+** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P.,
+** "Expressions for the Celestial Intermediate Pole and Celestial
+** Ephemeris Origin consistent with the IAU 2000A precession-
+** nutation model", Astron.Astrophys. 400, 1145-1154 (2003)
+**
+** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
+** intermediate origin" (CIO) by IAU 2006 Resolution 2.
+**
+** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855
+**
+** McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG
+**
+** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rnpb[3][3], x, y, s;
+
+
+/* Bias-precession-nutation-matrix, IAU 20006/2000A. */
+ eraPnm06a(date1, date2, rnpb);
+
+/* Extract the CIP coordinates. */
+ eraBpn2xy(rnpb, &x, &y);
+
+/* Compute the CIO locator s, given the CIP coordinates. */
+ s = eraS06(date1, date2, x, y);
+
+ return s;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/s2c.c b/src/detail/erfa/s2c.c
new file mode 100644
index 000000000..34db53995
--- /dev/null
+++ b/src/detail/erfa/s2c.c
@@ -0,0 +1,96 @@
+#include "erfa.h"
+
+void eraS2c(double theta, double phi, double c[3])
+/*
+** - - - - - - -
+** e r a S 2 c
+** - - - - - - -
+**
+** Convert spherical coordinates to Cartesian.
+**
+** Given:
+** theta double longitude angle (radians)
+** phi double latitude angle (radians)
+**
+** Returned:
+** c double[3] direction cosines
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double cp;
+
+
+ cp = cos(phi);
+ c[0] = cos(theta) * cp;
+ c[1] = sin(theta) * cp;
+ c[2] = sin(phi);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/s2p.c b/src/detail/erfa/s2p.c
new file mode 100644
index 000000000..af505794d
--- /dev/null
+++ b/src/detail/erfa/s2p.c
@@ -0,0 +1,99 @@
+#include "erfa.h"
+
+void eraS2p(double theta, double phi, double r, double p[3])
+/*
+** - - - - - - -
+** e r a S 2 p
+** - - - - - - -
+**
+** Convert spherical polar coordinates to p-vector.
+**
+** Given:
+** theta double longitude angle (radians)
+** phi double latitude angle (radians)
+** r double radial distance
+**
+** Returned:
+** p double[3] Cartesian coordinates
+**
+** Called:
+** eraS2c spherical coordinates to unit vector
+** eraSxp multiply p-vector by scalar
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double u[3];
+
+
+ eraS2c(theta, phi, u);
+ eraSxp(r, u, p);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/s2pv.c b/src/detail/erfa/s2pv.c
new file mode 100644
index 000000000..ae01736d3
--- /dev/null
+++ b/src/detail/erfa/s2pv.c
@@ -0,0 +1,114 @@
+#include "erfa.h"
+
+void eraS2pv(double theta, double phi, double r,
+ double td, double pd, double rd,
+ double pv[2][3])
+/*
+** - - - - - - - -
+** e r a S 2 p v
+** - - - - - - - -
+**
+** Convert position/velocity from spherical to Cartesian coordinates.
+**
+** Given:
+** theta double longitude angle (radians)
+** phi double latitude angle (radians)
+** r double radial distance
+** td double rate of change of theta
+** pd double rate of change of phi
+** rd double rate of change of r
+**
+** Returned:
+** pv double[2][3] pv-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double st, ct, sp, cp, rcp, x, y, rpd, w;
+
+
+ st = sin(theta);
+ ct = cos(theta);
+ sp = sin(phi);
+ cp = cos(phi);
+ rcp = r * cp;
+ x = rcp * ct;
+ y = rcp * st;
+ rpd = r * pd;
+ w = rpd*sp - cp*rd;
+
+ pv[0][0] = x;
+ pv[0][1] = y;
+ pv[0][2] = r * sp;
+ pv[1][0] = -y*td - w*ct;
+ pv[1][1] = x*td - w*st;
+ pv[1][2] = rpd*cp + sp*rd;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/s2xpv.c b/src/detail/erfa/s2xpv.c
new file mode 100644
index 000000000..c69a72ee0
--- /dev/null
+++ b/src/detail/erfa/s2xpv.c
@@ -0,0 +1,98 @@
+#include "erfa.h"
+
+void eraS2xpv(double s1, double s2, double pv[2][3], double spv[2][3])
+/*
+** - - - - - - - - -
+** e r a S 2 x p v
+** - - - - - - - - -
+**
+** Multiply a pv-vector by two scalars.
+**
+** Given:
+** s1 double scalar to multiply position component by
+** s2 double scalar to multiply velocity component by
+** pv double[2][3] pv-vector
+**
+** Returned:
+** spv double[2][3] pv-vector: p scaled by s1, v scaled by s2
+**
+** Note:
+** It is permissible for pv and spv to be the same array.
+**
+** Called:
+** eraSxp multiply p-vector by scalar
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ eraSxp(s1, pv[0], spv[0]);
+ eraSxp(s2, pv[1], spv[1]);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/sepp.c b/src/detail/erfa/sepp.c
new file mode 100644
index 000000000..ca264851e
--- /dev/null
+++ b/src/detail/erfa/sepp.c
@@ -0,0 +1,118 @@
+#include "erfa.h"
+
+double eraSepp(double a[3], double b[3])
+/*
+** - - - - - - - -
+** e r a S e p p
+** - - - - - - - -
+**
+** Angular separation between two p-vectors.
+**
+** Given:
+** a double[3] first p-vector (not necessarily unit length)
+** b double[3] second p-vector (not necessarily unit length)
+**
+** Returned (function value):
+** double angular separation (radians, always positive)
+**
+** Notes:
+**
+** 1) If either vector is null, a zero result is returned.
+**
+** 2) The angular separation is most simply formulated in terms of
+** scalar product. However, this gives poor accuracy for angles
+** near zero and pi. The present algorithm uses both cross product
+** and dot product, to deliver full accuracy whatever the size of
+** the angle.
+**
+** Called:
+** eraPxp vector product of two p-vectors
+** eraPm modulus of p-vector
+** eraPdp scalar product of two p-vectors
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double axb[3], ss, cs, s;
+
+
+/* Sine of angle between the vectors, multiplied by the two moduli. */
+ eraPxp(a, b, axb);
+ ss = eraPm(axb);
+
+/* Cosine of the angle, multiplied by the two moduli. */
+ cs = eraPdp(a, b);
+
+/* The angle. */
+ s = ((ss != 0.0) || (cs != 0.0)) ? atan2(ss, cs) : 0.0;
+
+ return s;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/seps.c b/src/detail/erfa/seps.c
new file mode 100644
index 000000000..746d58763
--- /dev/null
+++ b/src/detail/erfa/seps.c
@@ -0,0 +1,106 @@
+#include "erfa.h"
+
+double eraSeps(double al, double ap, double bl, double bp)
+/*
+** - - - - - - - -
+** e r a S e p s
+** - - - - - - - -
+**
+** Angular separation between two sets of spherical coordinates.
+**
+** Given:
+** al double first longitude (radians)
+** ap double first latitude (radians)
+** bl double second longitude (radians)
+** bp double second latitude (radians)
+**
+** Returned (function value):
+** double angular separation (radians)
+**
+** Called:
+** eraS2c spherical coordinates to unit vector
+** eraSepp angular separation between two p-vectors
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double ac[3], bc[3], s;
+
+
+/* Spherical to Cartesian. */
+ eraS2c(al, ap, ac);
+ eraS2c(bl, bp, bc);
+
+/* Angle between the vectors. */
+ s = eraSepp(ac, bc);
+
+ return s;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/sp00.c b/src/detail/erfa/sp00.c
new file mode 100644
index 000000000..1d13578b8
--- /dev/null
+++ b/src/detail/erfa/sp00.c
@@ -0,0 +1,132 @@
+#include "erfa.h"
+#include "erfam.h"
+
+double eraSp00(double date1, double date2)
+/*
+** - - - - - - - -
+** e r a S p 0 0
+** - - - - - - - -
+**
+** The TIO locator s', positioning the Terrestrial Intermediate Origin
+** on the equator of the Celestial Intermediate Pole.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned (function value):
+** double the TIO locator s' in radians (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The TIO locator s' is obtained from polar motion observations by
+** numerical integration, and so is in essence unpredictable.
+** However, it is dominated by a secular drift of about
+** 47 microarcseconds per century, which is the approximation
+** evaluated by the present function.
+**
+** Reference:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double t, sp;
+
+
+/* Interval between fundamental epoch J2000.0 and current date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* Approximate s'. */
+ sp = -47e-6 * t * ERFA_DAS2R;
+
+ return sp;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/starpm.c b/src/detail/erfa/starpm.c
new file mode 100644
index 000000000..723de56dd
--- /dev/null
+++ b/src/detail/erfa/starpm.c
@@ -0,0 +1,219 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraStarpm(double ra1, double dec1,
+ double pmr1, double pmd1, double px1, double rv1,
+ double ep1a, double ep1b, double ep2a, double ep2b,
+ double *ra2, double *dec2,
+ double *pmr2, double *pmd2, double *px2, double *rv2)
+/*
+** - - - - - - - - - -
+** e r a S t a r p m
+** - - - - - - - - - -
+**
+** Star proper motion: update star catalog data for space motion.
+**
+** Given:
+** ra1 double right ascension (radians), before
+** dec1 double declination (radians), before
+** pmr1 double RA proper motion (radians/year), before
+** pmd1 double Dec proper motion (radians/year), before
+** px1 double parallax (arcseconds), before
+** rv1 double radial velocity (km/s, +ve = receding), before
+** ep1a double "before" epoch, part A (Note 1)
+** ep1b double "before" epoch, part B (Note 1)
+** ep2a double "after" epoch, part A (Note 1)
+** ep2b double "after" epoch, part B (Note 1)
+**
+** Returned:
+** ra2 double right ascension (radians), after
+** dec2 double declination (radians), after
+** pmr2 double RA proper motion (radians/year), after
+** pmd2 double Dec proper motion (radians/year), after
+** px2 double parallax (arcseconds), after
+** rv2 double radial velocity (km/s, +ve = receding), after
+**
+** Returned (function value):
+** int status:
+** -1 = system error (should not occur)
+** 0 = no warnings or errors
+** 1 = distance overridden (Note 6)
+** 2 = excessive velocity (Note 7)
+** 4 = solution didn't converge (Note 8)
+** else = binary logical OR of the above warnings
+**
+** Notes:
+**
+** 1) The starting and ending TDB dates ep1a+ep1b and ep2a+ep2b are
+** Julian Dates, apportioned in any convenient way between the two
+** parts (A and B). For example, JD(TDB)=2450123.7 could be
+** expressed in any of these ways, among others:
+**
+** epNa epNb
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in cases
+** where the loss of several decimal digits of resolution is
+** acceptable. The J2000 method is best matched to the way the
+** argument is handled internally and will deliver the optimum
+** resolution. The MJD method and the date & time methods are both
+** good compromises between resolution and convenience.
+**
+** 2) In accordance with normal star-catalog conventions, the object's
+** right ascension and declination are freed from the effects of
+** secular aberration. The frame, which is aligned to the catalog
+** equator and equinox, is Lorentzian and centered on the SSB.
+**
+** The proper motions are the rate of change of the right ascension
+** and declination at the catalog epoch and are in radians per TDB
+** Julian year.
+**
+** The parallax and radial velocity are in the same frame.
+**
+** 3) Care is needed with units. The star coordinates are in radians
+** and the proper motions in radians per Julian year, but the
+** parallax is in arcseconds.
+**
+** 4) The RA proper motion is in terms of coordinate angle, not true
+** angle. If the catalog uses arcseconds for both RA and Dec proper
+** motions, the RA proper motion will need to be divided by cos(Dec)
+** before use.
+**
+** 5) Straight-line motion at constant speed, in the inertial frame,
+** is assumed.
+**
+** 6) An extremely small (or zero or negative) parallax is interpreted
+** to mean that the object is on the "celestial sphere", the radius
+** of which is an arbitrary (large) value (see the eraStarpv
+** function for the value used). When the distance is overridden in
+** this way, the status, initially zero, has 1 added to it.
+**
+** 7) If the space velocity is a significant fraction of c (see the
+** constant VMAX in the function eraStarpv), it is arbitrarily set
+** to zero. When this action occurs, 2 is added to the status.
+**
+** 8) The relativistic adjustment carried out in the eraStarpv function
+** involves an iterative calculation. If the process fails to
+** converge within a set number of iterations, 4 is added to the
+** status.
+**
+** Called:
+** eraStarpv star catalog data to space motion pv-vector
+** eraPvu update a pv-vector
+** eraPdp scalar product of two p-vectors
+** eraPvstar space motion pv-vector to star catalog data
+**
+** This revision: 2023 May 3
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double pv1[2][3], tl1, dt, pv[2][3], r2, rdv, v2, c2mv2, tl2,
+ pv2[2][3];
+ int j1, j2, j;
+
+
+/* RA,Dec etc. at the "before" epoch to space motion pv-vector. */
+ j1 = eraStarpv(ra1, dec1, pmr1, pmd1, px1, rv1, pv1);
+
+/* Light time when observed (days). */
+ tl1 = eraPm(pv1[0]) / ERFA_DC;
+
+/* Time interval, "before" to "after" (days). */
+ dt = (ep2a - ep1a) + (ep2b - ep1b);
+
+/* Move star along track from the "before" observed position to the */
+/* "after" geometric position. */
+ eraPvu(dt + tl1, pv1, pv);
+
+/* From this geometric position, deduce the observed light time (days) */
+/* at the "after" epoch (with theoretically unneccessary error check). */
+ r2 = eraPdp(pv[0], pv[0]);
+ rdv = eraPdp(pv[0], pv[1]);
+ v2 = eraPdp(pv[1], pv[1]);
+ c2mv2 = ERFA_DC*ERFA_DC - v2;
+ if (c2mv2 <= 0.0) return -1;
+ tl2 = (-rdv + sqrt(rdv*rdv + c2mv2*r2)) / c2mv2;
+
+/* Move the position along track from the observed place at the */
+/* "before" epoch to the observed place at the "after" epoch. */
+ eraPvu(dt + (tl1 - tl2), pv1, pv2);
+
+/* Space motion pv-vector to RA,Dec etc. at the "after" epoch. */
+ j2 = eraPvstar(pv2, ra2, dec2, pmr2, pmd2, px2, rv2);
+
+/* Final status. */
+ j = (j2 == 0) ? j1 : -1;
+
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/starpv.c b/src/detail/erfa/starpv.c
new file mode 100644
index 000000000..f2555dc0c
--- /dev/null
+++ b/src/detail/erfa/starpv.c
@@ -0,0 +1,278 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraStarpv(double ra, double dec,
+ double pmr, double pmd, double px, double rv,
+ double pv[2][3])
+/*
+** - - - - - - - - - -
+** e r a S t a r p v
+** - - - - - - - - - -
+**
+** Convert star catalog coordinates to position+velocity vector.
+**
+** Given (Note 1):
+** ra double right ascension (radians)
+** dec double declination (radians)
+** pmr double RA proper motion (radians/year)
+** pmd double Dec proper motion (radians/year)
+** px double parallax (arcseconds)
+** rv double radial velocity (km/s, positive = receding)
+**
+** Returned (Note 2):
+** pv double[2][3] pv-vector (au, au/day)
+**
+** Returned (function value):
+** int status:
+** 0 = no warnings
+** 1 = distance overridden (Note 6)
+** 2 = excessive speed (Note 7)
+** 4 = solution didn't converge (Note 8)
+** else = binary logical OR of the above
+**
+** Notes:
+**
+** 1) The star data accepted by this function are "observables" for an
+** imaginary observer at the solar-system barycenter. Proper motion
+** and radial velocity are, strictly, in terms of barycentric
+** coordinate time, TCB. For most practical applications, it is
+** permissible to neglect the distinction between TCB and ordinary
+** "proper" time on Earth (TT/TAI). The result will, as a rule, be
+** limited by the intrinsic accuracy of the proper-motion and
+** radial-velocity data; moreover, the pv-vector is likely to be
+** merely an intermediate result, so that a change of time unit
+** would cancel out overall.
+**
+** In accordance with normal star-catalog conventions, the object's
+** right ascension and declination are freed from the effects of
+** secular aberration. The frame, which is aligned to the catalog
+** equator and equinox, is Lorentzian and centered on the SSB.
+**
+** 2) The resulting position and velocity pv-vector is with respect to
+** the same frame and, like the catalog coordinates, is freed from
+** the effects of secular aberration. Should the "coordinate
+** direction", where the object was located at the catalog epoch, be
+** required, it may be obtained by calculating the magnitude of the
+** position vector pv[0][0-2] dividing by the speed of light in
+** au/day to give the light-time, and then multiplying the space
+** velocity pv[1][0-2] by this light-time and adding the result to
+** pv[0][0-2].
+**
+** Summarizing, the pv-vector returned is for most stars almost
+** identical to the result of applying the standard geometrical
+** "space motion" transformation. The differences, which are the
+** subject of the Stumpff paper referenced below, are:
+**
+** (i) In stars with significant radial velocity and proper motion,
+** the constantly changing light-time distorts the apparent proper
+** motion. Note that this is a classical, not a relativistic,
+** effect.
+**
+** (ii) The transformation complies with special relativity.
+**
+** 3) Care is needed with units. The star coordinates are in radians
+** and the proper motions in radians per Julian year, but the
+** parallax is in arcseconds; the radial velocity is in km/s, but
+** the pv-vector result is in au and au/day.
+**
+** 4) The RA proper motion is in terms of coordinate angle, not true
+** angle. If the catalog uses arcseconds for both RA and Dec proper
+** motions, the RA proper motion will need to be divided by cos(Dec)
+** before use.
+**
+** 5) Straight-line motion at constant speed, in the inertial frame,
+** is assumed.
+**
+** 6) An extremely small (or zero or negative) parallax is interpreted
+** to mean that the object is on the "celestial sphere", the radius
+** of which is an arbitrary (large) value (see the constant PXMIN).
+** When the distance is overridden in this way, the status,
+** initially zero, has 1 added to it.
+**
+** 7) If the space velocity is a significant fraction of c (see the
+** constant VMAX), it is arbitrarily set to zero. When this action
+** occurs, 2 is added to the status.
+**
+** 8) The relativistic adjustment involves an iterative calculation.
+** If the process fails to converge within a set number (IMAX) of
+** iterations, 4 is added to the status.
+**
+** 9) The inverse transformation is performed by the function
+** eraPvstar.
+**
+** Called:
+** eraS2pv spherical coordinates to pv-vector
+** eraPm modulus of p-vector
+** eraZp zero p-vector
+** eraPn decompose p-vector into modulus and direction
+** eraPdp scalar product of two p-vectors
+** eraSxp multiply p-vector by scalar
+** eraPmp p-vector minus p-vector
+** eraPpp p-vector plus p-vector
+**
+** Reference:
+**
+** Stumpff, P., 1985, Astron.Astrophys. 144, 232-240.
+**
+** This revision: 2023 May 4
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+/* Smallest allowed parallax */
+ static const double PXMIN = 1e-7;
+
+/* Largest allowed speed (fraction of c) */
+ static const double VMAX = 0.5;
+
+/* Maximum number of iterations for relativistic solution */
+ static const int IMAX = 100;
+
+ int i, iwarn;
+ double w, r, rd, rad, decd, v, pu[3], usr[3], ust[3],
+ vsr, vst, betst, betsr, bett, betr,
+ dd, ddel, ur[3], ut[3],
+ d = 0.0, del = 0.0, /* to prevent */
+ odd = 0.0, oddel = 0.0, /* compiler */
+ od = 0.0, odel = 0.0; /* warnings */
+
+
+/* Distance (au). */
+ if (px >= PXMIN) {
+ w = px;
+ iwarn = 0;
+ } else {
+ w = PXMIN;
+ iwarn = 1;
+ }
+ r = ERFA_DR2AS / w;
+
+/* Radial speed (au/day). */
+ rd = ERFA_DAYSEC * rv * 1e3 / ERFA_DAU;
+
+/* Proper motion (radian/day). */
+ rad = pmr / ERFA_DJY;
+ decd = pmd / ERFA_DJY;
+
+/* To pv-vector (au,au/day). */
+ eraS2pv(ra, dec, r, rad, decd, rd, pv);
+
+/* If excessive velocity, arbitrarily set it to zero. */
+ v = eraPm(pv[1]);
+ if (v / ERFA_DC > VMAX) {
+ eraZp(pv[1]);
+ iwarn += 2;
+ }
+
+/* Isolate the radial component of the velocity (au/day). */
+ eraPn(pv[0], &w, pu);
+ vsr = eraPdp(pu, pv[1]);
+ eraSxp(vsr, pu, usr);
+
+/* Isolate the transverse component of the velocity (au/day). */
+ eraPmp(pv[1], usr, ust);
+ vst = eraPm(ust);
+
+/* Special-relativity dimensionless parameters. */
+ betsr = vsr / ERFA_DC;
+ betst = vst / ERFA_DC;
+
+/* Determine the observed-to-inertial correction terms. */
+ bett = betst;
+ betr = betsr;
+ for (i = 0; i < IMAX; i++) {
+ d = 1.0 + betr;
+ w = betr*betr + bett*bett;
+ del = - w / (sqrt(1.0 - w) + 1.0);
+ betr = d * betsr + del;
+ bett = d * betst;
+ if (i > 0) {
+ dd = fabs(d - od);
+ ddel = fabs(del - odel);
+ if ((i > 1) && (dd >= odd) && (ddel >= oddel)) break;
+ odd = dd;
+ oddel = ddel;
+ }
+ od = d;
+ odel = del;
+ }
+ if (i >= IMAX) iwarn += 4;
+
+/* Scale observed tangential velocity vector into inertial (au/d). */
+ eraSxp(d, ust, ut);
+
+/* Compute inertial radial velocity vector (au/d). */
+ eraSxp(ERFA_DC*(d*betsr+del), pu, ur);
+
+/* Combine the two to obtain the inertial space velocity vector. */
+ eraPpp(ur, ut, pv[1]);
+
+/* Return the status. */
+ return iwarn;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/sxp.c b/src/detail/erfa/sxp.c
new file mode 100644
index 000000000..eb5f84797
--- /dev/null
+++ b/src/detail/erfa/sxp.c
@@ -0,0 +1,95 @@
+#include "erfa.h"
+
+void eraSxp(double s, double p[3], double sp[3])
+/*
+** - - - - - - -
+** e r a S x p
+** - - - - - - -
+**
+** Multiply a p-vector by a scalar.
+**
+** Given:
+** s double scalar
+** p double[3] p-vector
+**
+** Returned:
+** sp double[3] s * p
+**
+** Note:
+** It is permissible for p and sp to be the same array.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ sp[0] = s * p[0];
+ sp[1] = s * p[1];
+ sp[2] = s * p[2];
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/sxpv.c b/src/detail/erfa/sxpv.c
new file mode 100644
index 000000000..e830a5db7
--- /dev/null
+++ b/src/detail/erfa/sxpv.c
@@ -0,0 +1,96 @@
+#include "erfa.h"
+
+void eraSxpv(double s, double pv[2][3], double spv[2][3])
+/*
+** - - - - - - - -
+** e r a S x p v
+** - - - - - - - -
+**
+** Multiply a pv-vector by a scalar.
+**
+** Given:
+** s double scalar
+** pv double[2][3] pv-vector
+**
+** Returned:
+** spv double[2][3] s * pv
+**
+** Note:
+** It is permissible for pv and spv to be the same array.
+**
+** Called:
+** eraS2xpv multiply pv-vector by two scalars
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ eraS2xpv(s, s, pv, spv);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/t_erfa_c.c b/src/detail/erfa/t_erfa_c.c
new file mode 100644
index 000000000..d1c82cf66
--- /dev/null
+++ b/src/detail/erfa/t_erfa_c.c
@@ -0,0 +1,10331 @@
+#include <erfa.h>
+#include "erfam.h"
+#include <stdio.h>
+
+static int verbose = 0;
+
+/*
+** - - - - - - - - -
+** t _ e r f a _ c
+** - - - - - - - - -
+**
+** Validate the ERFA C functions.
+**
+** Each ERFA function is at least called and a usually quite basic test
+** is performed. Successful completion is signalled by a confirming
+** message. Failure of a given function or group of functions results
+** in error messages.
+**
+** All messages go to stdout.
+**
+** This revision: 2021 July 29
+**
+*/
+
+static void viv(int ival, int ivalok,
+ const char *func, const char *test, int *status)
+/*
+** - - - -
+** v i v
+** - - - -
+**
+** Validate an integer result.
+**
+** Internal function used by t_erfa_c program.
+**
+** Given:
+** ival int value computed by function under test
+** ivalok int correct value
+** func char[] name of function under test
+** test char[] name of individual test
+**
+** Given and returned:
+** status int set to TRUE if test fails
+**
+** This revision: 2013 August 7
+*/
+{
+ if (ival != ivalok) {
+ *status = 1;
+ printf("%s failed: %s want %d got %d\n",
+ func, test, ivalok, ival);
+ } else if (verbose) {
+ printf("%s passed: %s want %d got %d\n",
+ func, test, ivalok, ival);
+ }
+
+}
+
+static void vvd(double val, double valok, double dval,
+ const char *func, const char *test, int *status)
+/*
+** - - - -
+** v v d
+** - - - -
+**
+** Validate a double result.
+**
+** Internal function used by t_erfa_c program.
+**
+** Given:
+** val double value computed by function under test
+** valok double expected value
+** dval double maximum allowable error
+** func char[] name of function under test
+** test char[] name of individual test
+**
+** Given and returned:
+** status int set to TRUE if test fails
+**
+** This revision: 2016 April 21
+*/
+{
+ double a, f; /* absolute and fractional error */
+
+
+ a = val - valok;
+ if (a != 0.0 && fabs(a) > fabs(dval)) {
+ f = fabs(valok / a);
+ *status = 1;
+ printf("%s failed: %s want %.20g got %.20g (1/%.3g)\n",
+ func, test, valok, val, f);
+ } else if (verbose) {
+ printf("%s passed: %s want %.20g got %.20g\n",
+ func, test, valok, val);
+ }
+
+}
+
+static void t_a2af(int *status)
+/*
+** - - - - - - -
+** t _ a 2 a f
+** - - - - - - -
+**
+** Test eraA2af function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraA2af, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ int idmsf[4];
+ char s;
+
+
+ eraA2af(4, 2.345, &s, idmsf);
+
+ viv(s, '+', "eraA2af", "s", status);
+
+ viv(idmsf[0], 134, "eraA2af", "0", status);
+ viv(idmsf[1], 21, "eraA2af", "1", status);
+ viv(idmsf[2], 30, "eraA2af", "2", status);
+ viv(idmsf[3], 9706, "eraA2af", "3", status);
+
+}
+
+static void t_a2tf(int *status)
+/*
+** - - - - - - -
+** t _ a 2 t f
+** - - - - - - -
+**
+** Test eraA2tf function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraA2tf, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ int ihmsf[4];
+ char s;
+
+
+ eraA2tf(4, -3.01234, &s, ihmsf);
+
+ viv((int)s, '-', "eraA2tf", "s", status);
+
+ viv(ihmsf[0], 11, "eraA2tf", "0", status);
+ viv(ihmsf[1], 30, "eraA2tf", "1", status);
+ viv(ihmsf[2], 22, "eraA2tf", "2", status);
+ viv(ihmsf[3], 6484, "eraA2tf", "3", status);
+
+}
+
+static void t_ab(int *status)
+/*
+** - - - - -
+** t _ a b
+** - - - - -
+**
+** Test eraAb function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraAb, vvd
+**
+** This revision: 2013 October 1
+*/
+{
+ double pnat[3], v[3], s, bm1, ppr[3];
+
+
+ pnat[0] = -0.76321968546737951;
+ pnat[1] = -0.60869453983060384;
+ pnat[2] = -0.21676408580639883;
+ v[0] = 2.1044018893653786e-5;
+ v[1] = -8.9108923304429319e-5;
+ v[2] = -3.8633714797716569e-5;
+ s = 0.99980921395708788;
+ bm1 = 0.99999999506209258;
+
+ eraAb(pnat, v, s, bm1, ppr);
+
+ vvd(ppr[0], -0.7631631094219556269, 1e-12, "eraAb", "1", status);
+ vvd(ppr[1], -0.6087553082505590832, 1e-12, "eraAb", "2", status);
+ vvd(ppr[2], -0.2167926269368471279, 1e-12, "eraAb", "3", status);
+
+}
+
+static void t_ae2hd(int *status)
+/*
+** - - - - - - - -
+** t _ a e 2 h d
+** - - - - - - - -
+**
+** Test eraAe2hd function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraAe2hd and vvd
+**
+** This revision: 2017 October 21
+*/
+{
+ double a, e, p, h, d;
+
+
+ a = 5.5;
+ e = 1.1;
+ p = 0.7;
+
+ eraAe2hd(a, e, p, &h, &d);
+
+ vvd(h, 0.5933291115507309663, 1e-14, "eraAe2hd", "h", status);
+ vvd(d, 0.9613934761647817620, 1e-14, "eraAe2hd", "d", status);
+
+}
+
+static void t_af2a(int *status)
+/*
+** - - - - - - -
+** t _ a f 2 a
+** - - - - - - -
+**
+** Test eraAf2a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraAf2a, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double a;
+ int j;
+
+
+ j = eraAf2a('-', 45, 13, 27.2, &a);
+
+ vvd(a, -0.7893115794313644842, 1e-12, "eraAf2a", "a", status);
+ viv(j, 0, "eraAf2a", "j", status);
+
+}
+
+static void t_anp(int *status)
+/*
+** - - - - - -
+** t _ a n p
+** - - - - - -
+**
+** Test eraAnp function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraAnp, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraAnp(-0.1), 6.183185307179586477, 1e-12, "eraAnp", "", status);
+}
+
+static void t_anpm(int *status)
+/*
+** - - - - - - -
+** t _ a n p m
+** - - - - - - -
+**
+** Test eraAnpm function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraAnpm, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraAnpm(-4.0), 2.283185307179586477, 1e-12, "eraAnpm", "", status);
+}
+
+static void t_apcg(int *status)
+/*
+** - - - - - - -
+** t _ a p c g
+** - - - - - - -
+**
+** Test eraApcg function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApcg, vvd
+**
+** This revision: 2017 March 15
+*/
+{
+ double date1, date2, ebpv[2][3], ehp[3];
+ eraASTROM astrom;
+
+
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+ ebpv[0][0] = 0.901310875;
+ ebpv[0][1] = -0.417402664;
+ ebpv[0][2] = -0.180982288;
+ ebpv[1][0] = 0.00742727954;
+ ebpv[1][1] = 0.0140507459;
+ ebpv[1][2] = 0.00609045792;
+ ehp[0] = 0.903358544;
+ ehp[1] = -0.415395237;
+ ehp[2] = -0.180084014;
+
+ eraApcg(date1, date2, ebpv, ehp, &astrom);
+
+ vvd(astrom.pmt, 12.65133794027378508, 1e-11,
+ "eraApcg", "pmt", status);
+ vvd(astrom.eb[0], 0.901310875, 1e-12,
+ "eraApcg", "eb(1)", status);
+ vvd(astrom.eb[1], -0.417402664, 1e-12,
+ "eraApcg", "eb(2)", status);
+ vvd(astrom.eb[2], -0.180982288, 1e-12,
+ "eraApcg", "eb(3)", status);
+ vvd(astrom.eh[0], 0.8940025429324143045, 1e-12,
+ "eraApcg", "eh(1)", status);
+ vvd(astrom.eh[1], -0.4110930268679817955, 1e-12,
+ "eraApcg", "eh(2)", status);
+ vvd(astrom.eh[2], -0.1782189004872870264, 1e-12,
+ "eraApcg", "eh(3)", status);
+ vvd(astrom.em, 1.010465295811013146, 1e-12,
+ "eraApcg", "em", status);
+ vvd(astrom.v[0], 0.4289638913597693554e-4, 1e-16,
+ "eraApcg", "v(1)", status);
+ vvd(astrom.v[1], 0.8115034051581320575e-4, 1e-16,
+ "eraApcg", "v(2)", status);
+ vvd(astrom.v[2], 0.3517555136380563427e-4, 1e-16,
+ "eraApcg", "v(3)", status);
+ vvd(astrom.bm1, 0.9999999951686012981, 1e-12,
+ "eraApcg", "bm1", status);
+ vvd(astrom.bpn[0][0], 1.0, 0.0,
+ "eraApcg", "bpn(1,1)", status);
+ vvd(astrom.bpn[1][0], 0.0, 0.0,
+ "eraApcg", "bpn(2,1)", status);
+ vvd(astrom.bpn[2][0], 0.0, 0.0,
+ "eraApcg", "bpn(3,1)", status);
+ vvd(astrom.bpn[0][1], 0.0, 0.0,
+ "eraApcg", "bpn(1,2)", status);
+ vvd(astrom.bpn[1][1], 1.0, 0.0,
+ "eraApcg", "bpn(2,2)", status);
+ vvd(astrom.bpn[2][1], 0.0, 0.0,
+ "eraApcg", "bpn(3,2)", status);
+ vvd(astrom.bpn[0][2], 0.0, 0.0,
+ "eraApcg", "bpn(1,3)", status);
+ vvd(astrom.bpn[1][2], 0.0, 0.0,
+ "eraApcg", "bpn(2,3)", status);
+ vvd(astrom.bpn[2][2], 1.0, 0.0,
+ "eraApcg", "bpn(3,3)", status);
+
+}
+
+static void t_apcg13(int *status)
+/*
+** - - - - - - - - -
+** t _ a p c g 1 3
+** - - - - - - - - -
+**
+** Test eraApcg13 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApcg13, vvd
+**
+** This revision: 2017 March 15
+*/
+{
+ double date1, date2;
+ eraASTROM astrom;
+
+
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+
+ eraApcg13(date1, date2, &astrom);
+
+ vvd(astrom.pmt, 12.65133794027378508, 1e-11,
+ "eraApcg13", "pmt", status);
+ vvd(astrom.eb[0], 0.9013108747340644755, 1e-12,
+ "eraApcg13", "eb(1)", status);
+ vvd(astrom.eb[1], -0.4174026640406119957, 1e-12,
+ "eraApcg13", "eb(2)", status);
+ vvd(astrom.eb[2], -0.1809822877867817771, 1e-12,
+ "eraApcg13", "eb(3)", status);
+ vvd(astrom.eh[0], 0.8940025429255499549, 1e-12,
+ "eraApcg13", "eh(1)", status);
+ vvd(astrom.eh[1], -0.4110930268331896318, 1e-12,
+ "eraApcg13", "eh(2)", status);
+ vvd(astrom.eh[2], -0.1782189006019749850, 1e-12,
+ "eraApcg13", "eh(3)", status);
+ vvd(astrom.em, 1.010465295964664178, 1e-12,
+ "eraApcg13", "em", status);
+ vvd(astrom.v[0], 0.4289638912941341125e-4, 1e-16,
+ "eraApcg13", "v(1)", status);
+ vvd(astrom.v[1], 0.8115034032405042132e-4, 1e-16,
+ "eraApcg13", "v(2)", status);
+ vvd(astrom.v[2], 0.3517555135536470279e-4, 1e-16,
+ "eraApcg13", "v(3)", status);
+ vvd(astrom.bm1, 0.9999999951686013142, 1e-12,
+ "eraApcg13", "bm1", status);
+ vvd(astrom.bpn[0][0], 1.0, 0.0,
+ "eraApcg13", "bpn(1,1)", status);
+ vvd(astrom.bpn[1][0], 0.0, 0.0,
+ "eraApcg13", "bpn(2,1)", status);
+ vvd(astrom.bpn[2][0], 0.0, 0.0,
+ "eraApcg13", "bpn(3,1)", status);
+ vvd(astrom.bpn[0][1], 0.0, 0.0,
+ "eraApcg13", "bpn(1,2)", status);
+ vvd(astrom.bpn[1][1], 1.0, 0.0,
+ "eraApcg13", "bpn(2,2)", status);
+ vvd(astrom.bpn[2][1], 0.0, 0.0,
+ "eraApcg13", "bpn(3,2)", status);
+ vvd(astrom.bpn[0][2], 0.0, 0.0,
+ "eraApcg13", "bpn(1,3)", status);
+ vvd(astrom.bpn[1][2], 0.0, 0.0,
+ "eraApcg13", "bpn(2,3)", status);
+ vvd(astrom.bpn[2][2], 1.0, 0.0,
+ "eraApcg13", "bpn(3,3)", status);
+
+}
+
+static void t_apci(int *status)
+/*
+** - - - - - - -
+** t _ a p c i
+** - - - - - - -
+**
+** Test eraApci function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApci, vvd
+**
+** This revision: 2017 March 15
+*/
+{
+ double date1, date2, ebpv[2][3], ehp[3], x, y, s;
+ eraASTROM astrom;
+
+
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+ ebpv[0][0] = 0.901310875;
+ ebpv[0][1] = -0.417402664;
+ ebpv[0][2] = -0.180982288;
+ ebpv[1][0] = 0.00742727954;
+ ebpv[1][1] = 0.0140507459;
+ ebpv[1][2] = 0.00609045792;
+ ehp[0] = 0.903358544;
+ ehp[1] = -0.415395237;
+ ehp[2] = -0.180084014;
+ x = 0.0013122272;
+ y = -2.92808623e-5;
+ s = 3.05749468e-8;
+
+ eraApci(date1, date2, ebpv, ehp, x, y, s, &astrom);
+
+ vvd(astrom.pmt, 12.65133794027378508, 1e-11,
+ "eraApci", "pmt", status);
+ vvd(astrom.eb[0], 0.901310875, 1e-12,
+ "eraApci", "eb(1)", status);
+ vvd(astrom.eb[1], -0.417402664, 1e-12,
+ "eraApci", "eb(2)", status);
+ vvd(astrom.eb[2], -0.180982288, 1e-12,
+ "eraApci", "eb(3)", status);
+ vvd(astrom.eh[0], 0.8940025429324143045, 1e-12,
+ "eraApci", "eh(1)", status);
+ vvd(astrom.eh[1], -0.4110930268679817955, 1e-12,
+ "eraApci", "eh(2)", status);
+ vvd(astrom.eh[2], -0.1782189004872870264, 1e-12,
+ "eraApci", "eh(3)", status);
+ vvd(astrom.em, 1.010465295811013146, 1e-12,
+ "eraApci", "em", status);
+ vvd(astrom.v[0], 0.4289638913597693554e-4, 1e-16,
+ "eraApci", "v(1)", status);
+ vvd(astrom.v[1], 0.8115034051581320575e-4, 1e-16,
+ "eraApci", "v(2)", status);
+ vvd(astrom.v[2], 0.3517555136380563427e-4, 1e-16,
+ "eraApci", "v(3)", status);
+ vvd(astrom.bm1, 0.9999999951686012981, 1e-12,
+ "eraApci", "bm1", status);
+ vvd(astrom.bpn[0][0], 0.9999991390295159156, 1e-12,
+ "eraApci", "bpn(1,1)", status);
+ vvd(astrom.bpn[1][0], 0.4978650072505016932e-7, 1e-12,
+ "eraApci", "bpn(2,1)", status);
+ vvd(astrom.bpn[2][0], 0.1312227200000000000e-2, 1e-12,
+ "eraApci", "bpn(3,1)", status);
+ vvd(astrom.bpn[0][1], -0.1136336653771609630e-7, 1e-12,
+ "eraApci", "bpn(1,2)", status);
+ vvd(astrom.bpn[1][1], 0.9999999995713154868, 1e-12,
+ "eraApci", "bpn(2,2)", status);
+ vvd(astrom.bpn[2][1], -0.2928086230000000000e-4, 1e-12,
+ "eraApci", "bpn(3,2)", status);
+ vvd(astrom.bpn[0][2], -0.1312227200895260194e-2, 1e-12,
+ "eraApci", "bpn(1,3)", status);
+ vvd(astrom.bpn[1][2], 0.2928082217872315680e-4, 1e-12,
+ "eraApci", "bpn(2,3)", status);
+ vvd(astrom.bpn[2][2], 0.9999991386008323373, 1e-12,
+ "eraApci", "bpn(3,3)", status);
+
+}
+
+static void t_apci13(int *status)
+/*
+** - - - - - - - - -
+** t _ a p c i 1 3
+** - - - - - - - - -
+**
+** Test eraApci13 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApci13, vvd
+**
+** This revision: 2017 March 15
+*/
+{
+ double date1, date2, eo;
+ eraASTROM astrom;
+
+
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+
+ eraApci13(date1, date2, &astrom, &eo);
+
+ vvd(astrom.pmt, 12.65133794027378508, 1e-11,
+ "eraApci13", "pmt", status);
+ vvd(astrom.eb[0], 0.9013108747340644755, 1e-12,
+ "eraApci13", "eb(1)", status);
+ vvd(astrom.eb[1], -0.4174026640406119957, 1e-12,
+ "eraApci13", "eb(2)", status);
+ vvd(astrom.eb[2], -0.1809822877867817771, 1e-12,
+ "eraApci13", "eb(3)", status);
+ vvd(astrom.eh[0], 0.8940025429255499549, 1e-12,
+ "eraApci13", "eh(1)", status);
+ vvd(astrom.eh[1], -0.4110930268331896318, 1e-12,
+ "eraApci13", "eh(2)", status);
+ vvd(astrom.eh[2], -0.1782189006019749850, 1e-12,
+ "eraApci13", "eh(3)", status);
+ vvd(astrom.em, 1.010465295964664178, 1e-12,
+ "eraApci13", "em", status);
+ vvd(astrom.v[0], 0.4289638912941341125e-4, 1e-16,
+ "eraApci13", "v(1)", status);
+ vvd(astrom.v[1], 0.8115034032405042132e-4, 1e-16,
+ "eraApci13", "v(2)", status);
+ vvd(astrom.v[2], 0.3517555135536470279e-4, 1e-16,
+ "eraApci13", "v(3)", status);
+ vvd(astrom.bm1, 0.9999999951686013142, 1e-12,
+ "eraApci13", "bm1", status);
+ vvd(astrom.bpn[0][0], 0.9999992060376761710, 1e-12,
+ "eraApci13", "bpn(1,1)", status);
+ vvd(astrom.bpn[1][0], 0.4124244860106037157e-7, 1e-12,
+ "eraApci13", "bpn(2,1)", status);
+ vvd(astrom.bpn[2][0], 0.1260128571051709670e-2, 1e-12,
+ "eraApci13", "bpn(3,1)", status);
+ vvd(astrom.bpn[0][1], -0.1282291987222130690e-7, 1e-12,
+ "eraApci13", "bpn(1,2)", status);
+ vvd(astrom.bpn[1][1], 0.9999999997456835325, 1e-12,
+ "eraApci13", "bpn(2,2)", status);
+ vvd(astrom.bpn[2][1], -0.2255288829420524935e-4, 1e-12,
+ "eraApci13", "bpn(3,2)", status);
+ vvd(astrom.bpn[0][2], -0.1260128571661374559e-2, 1e-12,
+ "eraApci13", "bpn(1,3)", status);
+ vvd(astrom.bpn[1][2], 0.2255285422953395494e-4, 1e-12,
+ "eraApci13", "bpn(2,3)", status);
+ vvd(astrom.bpn[2][2], 0.9999992057833604343, 1e-12,
+ "eraApci13", "bpn(3,3)", status);
+ vvd(eo, -0.2900618712657375647e-2, 1e-12,
+ "eraApci13", "eo", status);
+
+}
+
+static void t_apco(int *status)
+/*
+** - - - - - - -
+** t _ a p c o
+** - - - - - - -
+**
+** Test eraApco function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApco, vvd
+**
+** This revision: 2021 January 5
+*/
+{
+ double date1, date2, ebpv[2][3], ehp[3], x, y, s,
+ theta, elong, phi, hm, xp, yp, sp, refa, refb;
+ eraASTROM astrom;
+
+
+ date1 = 2456384.5;
+ date2 = 0.970031644;
+ ebpv[0][0] = -0.974170438;
+ ebpv[0][1] = -0.211520082;
+ ebpv[0][2] = -0.0917583024;
+ ebpv[1][0] = 0.00364365824;
+ ebpv[1][1] = -0.0154287319;
+ ebpv[1][2] = -0.00668922024;
+ ehp[0] = -0.973458265;
+ ehp[1] = -0.209215307;
+ ehp[2] = -0.0906996477;
+ x = 0.0013122272;
+ y = -2.92808623e-5;
+ s = 3.05749468e-8;
+ theta = 3.14540971;
+ elong = -0.527800806;
+ phi = -1.2345856;
+ hm = 2738.0;
+ xp = 2.47230737e-7;
+ yp = 1.82640464e-6;
+ sp = -3.01974337e-11;
+ refa = 0.000201418779;
+ refb = -2.36140831e-7;
+
+ eraApco(date1, date2, ebpv, ehp, x, y, s,
+ theta, elong, phi, hm, xp, yp, sp,
+ refa, refb, &astrom);
+
+ vvd(astrom.pmt, 13.25248468622587269, 1e-11,
+ "eraApco", "pmt", status);
+ vvd(astrom.eb[0], -0.9741827110630322720, 1e-12,
+ "eraApco", "eb(1)", status);
+ vvd(astrom.eb[1], -0.2115130190135344832, 1e-12,
+ "eraApco", "eb(2)", status);
+ vvd(astrom.eb[2], -0.09179840186949532298, 1e-12,
+ "eraApco", "eb(3)", status);
+ vvd(astrom.eh[0], -0.9736425571689739035, 1e-12,
+ "eraApco", "eh(1)", status);
+ vvd(astrom.eh[1], -0.2092452125849330936, 1e-12,
+ "eraApco", "eh(2)", status);
+ vvd(astrom.eh[2], -0.09075578152243272599, 1e-12,
+ "eraApco", "eh(3)", status);
+ vvd(astrom.em, 0.9998233241709957653, 1e-12,
+ "eraApco", "em", status);
+ vvd(astrom.v[0], 0.2078704992916728762e-4, 1e-16,
+ "eraApco", "v(1)", status);
+ vvd(astrom.v[1], -0.8955360107151952319e-4, 1e-16,
+ "eraApco", "v(2)", status);
+ vvd(astrom.v[2], -0.3863338994288951082e-4, 1e-16,
+ "eraApco", "v(3)", status);
+ vvd(astrom.bm1, 0.9999999950277561236, 1e-12,
+ "eraApco", "bm1", status);
+ vvd(astrom.bpn[0][0], 0.9999991390295159156, 1e-12,
+ "eraApco", "bpn(1,1)", status);
+ vvd(astrom.bpn[1][0], 0.4978650072505016932e-7, 1e-12,
+ "eraApco", "bpn(2,1)", status);
+ vvd(astrom.bpn[2][0], 0.1312227200000000000e-2, 1e-12,
+ "eraApco", "bpn(3,1)", status);
+ vvd(astrom.bpn[0][1], -0.1136336653771609630e-7, 1e-12,
+ "eraApco", "bpn(1,2)", status);
+ vvd(astrom.bpn[1][1], 0.9999999995713154868, 1e-12,
+ "eraApco", "bpn(2,2)", status);
+ vvd(astrom.bpn[2][1], -0.2928086230000000000e-4, 1e-12,
+ "eraApco", "bpn(3,2)", status);
+ vvd(astrom.bpn[0][2], -0.1312227200895260194e-2, 1e-12,
+ "eraApco", "bpn(1,3)", status);
+ vvd(astrom.bpn[1][2], 0.2928082217872315680e-4, 1e-12,
+ "eraApco", "bpn(2,3)", status);
+ vvd(astrom.bpn[2][2], 0.9999991386008323373, 1e-12,
+ "eraApco", "bpn(3,3)", status);
+ vvd(astrom.along, -0.5278008060295995734, 1e-12,
+ "eraApco", "along", status);
+ vvd(astrom.xpl, 0.1133427418130752958e-5, 1e-17,
+ "eraApco", "xpl", status);
+ vvd(astrom.ypl, 0.1453347595780646207e-5, 1e-17,
+ "eraApco", "ypl", status);
+ vvd(astrom.sphi, -0.9440115679003211329, 1e-12,
+ "eraApco", "sphi", status);
+ vvd(astrom.cphi, 0.3299123514971474711, 1e-12,
+ "eraApco", "cphi", status);
+ vvd(astrom.diurab, 0, 0,
+ "eraApco", "diurab", status);
+ vvd(astrom.eral, 2.617608903970400427, 1e-12,
+ "eraApco", "eral", status);
+ vvd(astrom.refa, 0.2014187790000000000e-3, 1e-15,
+ "eraApco", "refa", status);
+ vvd(astrom.refb, -0.2361408310000000000e-6, 1e-18,
+ "eraApco", "refb", status);
+
+}
+
+static void t_apco13(int *status)
+/*
+** - - - - - - - - -
+** t _ a p c o 1 3
+** - - - - - - - - -
+**
+** Test eraApco13 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApco13, vvd, viv
+**
+** This revision: 2021 January 5
+*/
+{
+ double utc1, utc2, dut1, elong, phi, hm, xp, yp,
+ phpa, tc, rh, wl, eo;
+ eraASTROM astrom;
+ int j;
+
+
+ utc1 = 2456384.5;
+ utc2 = 0.969254051;
+ dut1 = 0.1550675;
+ elong = -0.527800806;
+ phi = -1.2345856;
+ hm = 2738.0;
+ xp = 2.47230737e-7;
+ yp = 1.82640464e-6;
+ phpa = 731.0;
+ tc = 12.8;
+ rh = 0.59;
+ wl = 0.55;
+
+ j = eraApco13(utc1, utc2, dut1, elong, phi, hm, xp, yp,
+ phpa, tc, rh, wl, &astrom, &eo);
+
+ vvd(astrom.pmt, 13.25248468622475727, 1e-11,
+ "eraApco13", "pmt", status);
+ vvd(astrom.eb[0], -0.9741827107320875162, 1e-12,
+ "eraApco13", "eb(1)", status);
+ vvd(astrom.eb[1], -0.2115130190489716682, 1e-12,
+ "eraApco13", "eb(2)", status);
+ vvd(astrom.eb[2], -0.09179840189496755339, 1e-12,
+ "eraApco13", "eb(3)", status);
+ vvd(astrom.eh[0], -0.9736425572586935247, 1e-12,
+ "eraApco13", "eh(1)", status);
+ vvd(astrom.eh[1], -0.2092452121603336166, 1e-12,
+ "eraApco13", "eh(2)", status);
+ vvd(astrom.eh[2], -0.09075578153885665295, 1e-12,
+ "eraApco13", "eh(3)", status);
+ vvd(astrom.em, 0.9998233240913898141, 1e-12,
+ "eraApco13", "em", status);
+ vvd(astrom.v[0], 0.2078704994520489246e-4, 1e-16,
+ "eraApco13", "v(1)", status);
+ vvd(astrom.v[1], -0.8955360133238868938e-4, 1e-16,
+ "eraApco13", "v(2)", status);
+ vvd(astrom.v[2], -0.3863338993055887398e-4, 1e-16,
+ "eraApco13", "v(3)", status);
+ vvd(astrom.bm1, 0.9999999950277561004, 1e-12,
+ "eraApco13", "bm1", status);
+ vvd(astrom.bpn[0][0], 0.9999991390295147999, 1e-12,
+ "eraApco13", "bpn(1,1)", status);
+ vvd(astrom.bpn[1][0], 0.4978650075315529277e-7, 1e-12,
+ "eraApco13", "bpn(2,1)", status);
+ vvd(astrom.bpn[2][0], 0.001312227200850293372, 1e-12,
+ "eraApco13", "bpn(3,1)", status);
+ vvd(astrom.bpn[0][1], -0.1136336652812486604e-7, 1e-12,
+ "eraApco13", "bpn(1,2)", status);
+ vvd(astrom.bpn[1][1], 0.9999999995713154865, 1e-12,
+ "eraApco13", "bpn(2,2)", status);
+ vvd(astrom.bpn[2][1], -0.2928086230975367296e-4, 1e-12,
+ "eraApco13", "bpn(3,2)", status);
+ vvd(astrom.bpn[0][2], -0.001312227201745553566, 1e-12,
+ "eraApco13", "bpn(1,3)", status);
+ vvd(astrom.bpn[1][2], 0.2928082218847679162e-4, 1e-12,
+ "eraApco13", "bpn(2,3)", status);
+ vvd(astrom.bpn[2][2], 0.9999991386008312212, 1e-12,
+ "eraApco13", "bpn(3,3)", status);
+ vvd(astrom.along, -0.5278008060295995733, 1e-12,
+ "eraApco13", "along", status);
+ vvd(astrom.xpl, 0.1133427418130752958e-5, 1e-17,
+ "eraApco13", "xpl", status);
+ vvd(astrom.ypl, 0.1453347595780646207e-5, 1e-17,
+ "eraApco13", "ypl", status);
+ vvd(astrom.sphi, -0.9440115679003211329, 1e-12,
+ "eraApco13", "sphi", status);
+ vvd(astrom.cphi, 0.3299123514971474711, 1e-12,
+ "eraApco13", "cphi", status);
+ vvd(astrom.diurab, 0, 0,
+ "eraApco13", "diurab", status);
+ vvd(astrom.eral, 2.617608909189664000, 1e-12,
+ "eraApco13", "eral", status);
+ vvd(astrom.refa, 0.2014187785940396921e-3, 1e-15,
+ "eraApco13", "refa", status);
+ vvd(astrom.refb, -0.2361408314943696227e-6, 1e-18,
+ "eraApco13", "refb", status);
+ vvd(eo, -0.003020548354802412839, 1e-14,
+ "eraApco13", "eo", status);
+ viv(j, 0, "eraApco13", "j", status);
+
+}
+
+static void t_apcs(int *status)
+/*
+** - - - - - - -
+** t _ a p c s
+** - - - - - - -
+**
+** Test eraApcs function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApcs, vvd
+**
+** This revision: 2017 March 15
+*/
+{
+ double date1, date2, pv[2][3], ebpv[2][3], ehp[3];
+ eraASTROM astrom;
+
+
+ date1 = 2456384.5;
+ date2 = 0.970031644;
+ pv[0][0] = -1836024.09;
+ pv[0][1] = 1056607.72;
+ pv[0][2] = -5998795.26;
+ pv[1][0] = -77.0361767;
+ pv[1][1] = -133.310856;
+ pv[1][2] = 0.0971855934;
+ ebpv[0][0] = -0.974170438;
+ ebpv[0][1] = -0.211520082;
+ ebpv[0][2] = -0.0917583024;
+ ebpv[1][0] = 0.00364365824;
+ ebpv[1][1] = -0.0154287319;
+ ebpv[1][2] = -0.00668922024;
+ ehp[0] = -0.973458265;
+ ehp[1] = -0.209215307;
+ ehp[2] = -0.0906996477;
+
+ eraApcs(date1, date2, pv, ebpv, ehp, &astrom);
+
+ vvd(astrom.pmt, 13.25248468622587269, 1e-11,
+ "eraApcs", "pmt", status);
+ vvd(astrom.eb[0], -0.9741827110629881886, 1e-12,
+ "eraApcs", "eb(1)", status);
+ vvd(astrom.eb[1], -0.2115130190136415986, 1e-12,
+ "eraApcs", "eb(2)", status);
+ vvd(astrom.eb[2], -0.09179840186954412099, 1e-12,
+ "eraApcs", "eb(3)", status);
+ vvd(astrom.eh[0], -0.9736425571689454706, 1e-12,
+ "eraApcs", "eh(1)", status);
+ vvd(astrom.eh[1], -0.2092452125850435930, 1e-12,
+ "eraApcs", "eh(2)", status);
+ vvd(astrom.eh[2], -0.09075578152248299218, 1e-12,
+ "eraApcs", "eh(3)", status);
+ vvd(astrom.em, 0.9998233241709796859, 1e-12,
+ "eraApcs", "em", status);
+ vvd(astrom.v[0], 0.2078704993282685510e-4, 1e-16,
+ "eraApcs", "v(1)", status);
+ vvd(astrom.v[1], -0.8955360106989405683e-4, 1e-16,
+ "eraApcs", "v(2)", status);
+ vvd(astrom.v[2], -0.3863338994289409097e-4, 1e-16,
+ "eraApcs", "v(3)", status);
+ vvd(astrom.bm1, 0.9999999950277561237, 1e-12,
+ "eraApcs", "bm1", status);
+ vvd(astrom.bpn[0][0], 1, 0,
+ "eraApcs", "bpn(1,1)", status);
+ vvd(astrom.bpn[1][0], 0, 0,
+ "eraApcs", "bpn(2,1)", status);
+ vvd(astrom.bpn[2][0], 0, 0,
+ "eraApcs", "bpn(3,1)", status);
+ vvd(astrom.bpn[0][1], 0, 0,
+ "eraApcs", "bpn(1,2)", status);
+ vvd(astrom.bpn[1][1], 1, 0,
+ "eraApcs", "bpn(2,2)", status);
+ vvd(astrom.bpn[2][1], 0, 0,
+ "eraApcs", "bpn(3,2)", status);
+ vvd(astrom.bpn[0][2], 0, 0,
+ "eraApcs", "bpn(1,3)", status);
+ vvd(astrom.bpn[1][2], 0, 0,
+ "eraApcs", "bpn(2,3)", status);
+ vvd(astrom.bpn[2][2], 1, 0,
+ "eraApcs", "bpn(3,3)", status);
+
+}
+
+static void t_apcs13(int *status)
+/*
+** - - - - - - - - -
+** t _ a p c s 1 3
+** - - - - - - - - -
+**
+** Test eraApcs13 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApcs13, vvd
+**
+** This revision: 2017 March 15
+*/
+{
+ double date1, date2, pv[2][3];
+ eraASTROM astrom;
+
+
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+ pv[0][0] = -6241497.16;
+ pv[0][1] = 401346.896;
+ pv[0][2] = -1251136.04;
+ pv[1][0] = -29.264597;
+ pv[1][1] = -455.021831;
+ pv[1][2] = 0.0266151194;
+
+ eraApcs13(date1, date2, pv, &astrom);
+
+ vvd(astrom.pmt, 12.65133794027378508, 1e-11,
+ "eraApcs13", "pmt", status);
+ vvd(astrom.eb[0], 0.9012691529025250644, 1e-12,
+ "eraApcs13", "eb(1)", status);
+ vvd(astrom.eb[1], -0.4173999812023194317, 1e-12,
+ "eraApcs13", "eb(2)", status);
+ vvd(astrom.eb[2], -0.1809906511146429670, 1e-12,
+ "eraApcs13", "eb(3)", status);
+ vvd(astrom.eh[0], 0.8939939101760130792, 1e-12,
+ "eraApcs13", "eh(1)", status);
+ vvd(astrom.eh[1], -0.4111053891734021478, 1e-12,
+ "eraApcs13", "eh(2)", status);
+ vvd(astrom.eh[2], -0.1782336880636997374, 1e-12,
+ "eraApcs13", "eh(3)", status);
+ vvd(astrom.em, 1.010428384373491095, 1e-12,
+ "eraApcs13", "em", status);
+ vvd(astrom.v[0], 0.4279877294121697570e-4, 1e-16,
+ "eraApcs13", "v(1)", status);
+ vvd(astrom.v[1], 0.7963255087052120678e-4, 1e-16,
+ "eraApcs13", "v(2)", status);
+ vvd(astrom.v[2], 0.3517564013384691531e-4, 1e-16,
+ "eraApcs13", "v(3)", status);
+ vvd(astrom.bm1, 0.9999999952947980978, 1e-12,
+ "eraApcs13", "bm1", status);
+ vvd(astrom.bpn[0][0], 1, 0,
+ "eraApcs13", "bpn(1,1)", status);
+ vvd(astrom.bpn[1][0], 0, 0,
+ "eraApcs13", "bpn(2,1)", status);
+ vvd(astrom.bpn[2][0], 0, 0,
+ "eraApcs13", "bpn(3,1)", status);
+ vvd(astrom.bpn[0][1], 0, 0,
+ "eraApcs13", "bpn(1,2)", status);
+ vvd(astrom.bpn[1][1], 1, 0,
+ "eraApcs13", "bpn(2,2)", status);
+ vvd(astrom.bpn[2][1], 0, 0,
+ "eraApcs13", "bpn(3,2)", status);
+ vvd(astrom.bpn[0][2], 0, 0,
+ "eraApcs13", "bpn(1,3)", status);
+ vvd(astrom.bpn[1][2], 0, 0,
+ "eraApcs13", "bpn(2,3)", status);
+ vvd(astrom.bpn[2][2], 1, 0,
+ "eraApcs13", "bpn(3,3)", status);
+
+}
+
+static void t_aper(int *status)
+/*
+** - - - - - - -
+** t _ a p e r
+** - - - - - - -
+*
+** Test eraAper function.
+*
+** Returned:
+** status int FALSE = success, TRUE = fail
+*
+** Called: eraAper, vvd
+*
+** This revision: 2013 October 3
+*/
+{
+ double theta;
+ eraASTROM astrom;
+
+
+ astrom.along = 1.234;
+ theta = 5.678;
+
+ eraAper(theta, &astrom);
+
+ vvd(astrom.eral, 6.912000000000000000, 1e-12,
+ "eraAper", "pmt", status);
+
+}
+
+static void t_aper13(int *status)
+/*
+** - - - - - - - - -
+** t _ a p e r 1 3
+** - - - - - - - - -
+**
+** Test eraAper13 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraAper13, vvd
+**
+** This revision: 2013 October 3
+*/
+{
+ double ut11, ut12;
+ eraASTROM astrom;
+
+
+ astrom.along = 1.234;
+ ut11 = 2456165.5;
+ ut12 = 0.401182685;
+
+ eraAper13(ut11, ut12, &astrom);
+
+ vvd(astrom.eral, 3.316236661789694933, 1e-12,
+ "eraAper13", "pmt", status);
+
+}
+
+static void t_apio(int *status)
+/*
+** - - - - - - -
+** t _ a p i o
+** - - - - - - -
+**
+** Test eraApio function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApio, vvd
+**
+** This revision: 2021 January 5
+*/
+{
+ double sp, theta, elong, phi, hm, xp, yp, refa, refb;
+ eraASTROM astrom;
+
+
+ sp = -3.01974337e-11;
+ theta = 3.14540971;
+ elong = -0.527800806;
+ phi = -1.2345856;
+ hm = 2738.0;
+ xp = 2.47230737e-7;
+ yp = 1.82640464e-6;
+ refa = 0.000201418779;
+ refb = -2.36140831e-7;
+
+ eraApio(sp, theta, elong, phi, hm, xp, yp, refa, refb, &astrom);
+
+ vvd(astrom.along, -0.5278008060295995734, 1e-12,
+ "eraApio", "along", status);
+ vvd(astrom.xpl, 0.1133427418130752958e-5, 1e-17,
+ "eraApio", "xpl", status);
+ vvd(astrom.ypl, 0.1453347595780646207e-5, 1e-17,
+ "eraApio", "ypl", status);
+ vvd(astrom.sphi, -0.9440115679003211329, 1e-12,
+ "eraApio", "sphi", status);
+ vvd(astrom.cphi, 0.3299123514971474711, 1e-12,
+ "eraApio", "cphi", status);
+ vvd(astrom.diurab, 0.5135843661699913529e-6, 1e-12,
+ "eraApio", "diurab", status);
+ vvd(astrom.eral, 2.617608903970400427, 1e-12,
+ "eraApio", "eral", status);
+ vvd(astrom.refa, 0.2014187790000000000e-3, 1e-15,
+ "eraApio", "refa", status);
+ vvd(astrom.refb, -0.2361408310000000000e-6, 1e-18,
+ "eraApio", "refb", status);
+
+}
+
+static void t_apio13(int *status)
+/*
+** - - - - - - - - -
+** t _ a p i o 1 3
+** - - - - - - - - -
+**
+** Test eraApio13 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApio13, vvd, viv
+**
+** This revision: 2021 January 5
+*/
+{
+ double utc1, utc2, dut1, elong, phi, hm, xp, yp, phpa, tc, rh, wl;
+ int j;
+ eraASTROM astrom;
+
+
+ utc1 = 2456384.5;
+ utc2 = 0.969254051;
+ dut1 = 0.1550675;
+ elong = -0.527800806;
+ phi = -1.2345856;
+ hm = 2738.0;
+ xp = 2.47230737e-7;
+ yp = 1.82640464e-6;
+ phpa = 731.0;
+ tc = 12.8;
+ rh = 0.59;
+ wl = 0.55;
+
+ j = eraApio13(utc1, utc2, dut1, elong, phi, hm, xp, yp,
+ phpa, tc, rh, wl, &astrom);
+
+ vvd(astrom.along, -0.5278008060295995733, 1e-12,
+ "eraApio13", "along", status);
+ vvd(astrom.xpl, 0.1133427418130752958e-5, 1e-17,
+ "eraApio13", "xpl", status);
+ vvd(astrom.ypl, 0.1453347595780646207e-5, 1e-17,
+ "eraApio13", "ypl", status);
+ vvd(astrom.sphi, -0.9440115679003211329, 1e-12,
+ "eraApio13", "sphi", status);
+ vvd(astrom.cphi, 0.3299123514971474711, 1e-12,
+ "eraApio13", "cphi", status);
+ vvd(astrom.diurab, 0.5135843661699913529e-6, 1e-12,
+ "eraApio13", "diurab", status);
+ vvd(astrom.eral, 2.617608909189664000, 1e-12,
+ "eraApio13", "eral", status);
+ vvd(astrom.refa, 0.2014187785940396921e-3, 1e-15,
+ "eraApio13", "refa", status);
+ vvd(astrom.refb, -0.2361408314943696227e-6, 1e-18,
+ "eraApio13", "refb", status);
+ viv(j, 0, "eraApio13", "j", status);
+
+}
+
+static void t_atcc13(int *status)
+/*
+** - - - - - - - - -
+** t _ a t c c 1 3
+** - - - - - - - - -
+**
+** Test eraAtcc13 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraAtcc13, vvd
+**
+** This revision: 2021 April 18
+*/
+{
+ double rc, dc, pr, pd, px, rv, date1, date2, ra, da;
+
+
+ rc = 2.71;
+ dc = 0.174;
+ pr = 1e-5;
+ pd = 5e-6;
+ px = 0.1;
+ rv = 55.0;
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+
+ eraAtcc13(rc, dc, pr, pd, px, rv, date1, date2, &ra, &da);
+
+ vvd(ra, 2.710126504531372384, 1e-12,
+ "eraAtcc13", "ra", status);
+ vvd(da, 0.1740632537628350152, 1e-12,
+ "eraAtcc13", "da", status);
+
+}
+
+static void t_atccq(int *status)
+/*
+** - - - - - - - -
+** t _ a t c c q
+** - - - - - - - -
+**
+** Test eraAtccq function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApci13, eraAtccq, vvd
+**
+** This revision: 2021 July 29
+*/
+{
+ double date1, date2, eo, rc, dc, pr, pd, px, rv, ra, da;
+ eraASTROM astrom;
+
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+ eraApci13(date1, date2, &astrom, &eo);
+ rc = 2.71;
+ dc = 0.174;
+ pr = 1e-5;
+ pd = 5e-6;
+ px = 0.1;
+ rv = 55.0;
+
+ eraAtccq(rc, dc, pr, pd, px, rv, &astrom, &ra, &da);
+
+ vvd(ra, 2.710126504531372384, 1e-12, "eraAtccq", "ra", status);
+ vvd(da, 0.1740632537628350152, 1e-12, "eraAtccq", "da", status);
+
+}
+
+static void t_atci13(int *status)
+/*
+** - - - - - - - - -
+** t _ a t c i 1 3
+** - - - - - - - - -
+**
+** Test eraAtci13 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraAtci13, vvd
+**
+** This revision: 2017 March 15
+*/
+{
+ double rc, dc, pr, pd, px, rv, date1, date2, ri, di, eo;
+
+
+ rc = 2.71;
+ dc = 0.174;
+ pr = 1e-5;
+ pd = 5e-6;
+ px = 0.1;
+ rv = 55.0;
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+
+ eraAtci13(rc, dc, pr, pd, px, rv, date1, date2, &ri, &di, &eo);
+
+ vvd(ri, 2.710121572968696744, 1e-12,
+ "eraAtci13", "ri", status);
+ vvd(di, 0.1729371367219539137, 1e-12,
+ "eraAtci13", "di", status);
+ vvd(eo, -0.002900618712657375647, 1e-14,
+ "eraAtci13", "eo", status);
+
+}
+
+static void t_atciq(int *status)
+/*
+** - - - - - - - -
+** t _ a t c i q
+** - - - - - - - -
+**
+** Test eraAtciq function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApci13, eraAtciq, vvd
+**
+** This revision: 2017 March 15
+*/
+{
+ double date1, date2, eo, rc, dc, pr, pd, px, rv, ri, di;
+ eraASTROM astrom;
+
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+ eraApci13(date1, date2, &astrom, &eo);
+ rc = 2.71;
+ dc = 0.174;
+ pr = 1e-5;
+ pd = 5e-6;
+ px = 0.1;
+ rv = 55.0;
+
+ eraAtciq(rc, dc, pr, pd, px, rv, &astrom, &ri, &di);
+
+ vvd(ri, 2.710121572968696744, 1e-12, "eraAtciq", "ri", status);
+ vvd(di, 0.1729371367219539137, 1e-12, "eraAtciq", "di", status);
+
+}
+
+static void t_atciqn(int *status)
+/*
+** - - - - - - - - -
+** t _ a t c i q n
+** - - - - - - - - -
+**
+** Test eraAtciqn function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApci13, eraAtciqn, vvd
+**
+** This revision: 2017 March 15
+*/
+{
+ eraLDBODY b[3];
+ double date1, date2, eo, rc, dc, pr, pd, px, rv, ri, di;
+ eraASTROM astrom;
+
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+ eraApci13(date1, date2, &astrom, &eo);
+ rc = 2.71;
+ dc = 0.174;
+ pr = 1e-5;
+ pd = 5e-6;
+ px = 0.1;
+ rv = 55.0;
+ b[0].bm = 0.00028574;
+ b[0].dl = 3e-10;
+ b[0].pv[0][0] = -7.81014427;
+ b[0].pv[0][1] = -5.60956681;
+ b[0].pv[0][2] = -1.98079819;
+ b[0].pv[1][0] = 0.0030723249;
+ b[0].pv[1][1] = -0.00406995477;
+ b[0].pv[1][2] = -0.00181335842;
+ b[1].bm = 0.00095435;
+ b[1].dl = 3e-9;
+ b[1].pv[0][0] = 0.738098796;
+ b[1].pv[0][1] = 4.63658692;
+ b[1].pv[0][2] = 1.9693136;
+ b[1].pv[1][0] = -0.00755816922;
+ b[1].pv[1][1] = 0.00126913722;
+ b[1].pv[1][2] = 0.000727999001;
+ b[2].bm = 1.0;
+ b[2].dl = 6e-6;
+ b[2].pv[0][0] = -0.000712174377;
+ b[2].pv[0][1] = -0.00230478303;
+ b[2].pv[0][2] = -0.00105865966;
+ b[2].pv[1][0] = 6.29235213e-6;
+ b[2].pv[1][1] = -3.30888387e-7;
+ b[2].pv[1][2] = -2.96486623e-7;
+
+ eraAtciqn ( rc, dc, pr, pd, px, rv, &astrom, 3, b, &ri, &di);
+
+ vvd(ri, 2.710122008104983335, 1e-12, "eraAtciqn", "ri", status);
+ vvd(di, 0.1729371916492767821, 1e-12, "eraAtciqn", "di", status);
+
+}
+
+static void t_atciqz(int *status)
+/*
+** - - - - - - - - -
+** t _ a t c i q z
+** - - - - - - - - -
+**
+** Test eraAtciqz function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApci13, eraAtciqz, vvd
+**
+** This revision: 2017 March 15
+*/
+{
+ double date1, date2, eo, rc, dc, ri, di;
+ eraASTROM astrom;
+
+
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+ eraApci13(date1, date2, &astrom, &eo);
+ rc = 2.71;
+ dc = 0.174;
+
+ eraAtciqz(rc, dc, &astrom, &ri, &di);
+
+ vvd(ri, 2.709994899247256984, 1e-12, "eraAtciqz", "ri", status);
+ vvd(di, 0.1728740720984931891, 1e-12, "eraAtciqz", "di", status);
+
+}
+
+static void t_atco13(int *status)
+/*
+** - - - - - - - - -
+** t _ a t c o 1 3
+** - - - - - - - - -
+**
+** Test eraAtco13 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraAtco13, vvd, viv
+**
+** This revision: 2021 January 5
+*/
+{
+ double rc, dc, pr, pd, px, rv, utc1, utc2, dut1,
+ elong, phi, hm, xp, yp, phpa, tc, rh, wl,
+ aob, zob, hob, dob, rob, eo;
+ int j;
+
+
+ rc = 2.71;
+ dc = 0.174;
+ pr = 1e-5;
+ pd = 5e-6;
+ px = 0.1;
+ rv = 55.0;
+ utc1 = 2456384.5;
+ utc2 = 0.969254051;
+ dut1 = 0.1550675;
+ elong = -0.527800806;
+ phi = -1.2345856;
+ hm = 2738.0;
+ xp = 2.47230737e-7;
+ yp = 1.82640464e-6;
+ phpa = 731.0;
+ tc = 12.8;
+ rh = 0.59;
+ wl = 0.55;
+
+ j = eraAtco13(rc, dc, pr, pd, px, rv,
+ utc1, utc2, dut1, elong, phi, hm, xp, yp,
+ phpa, tc, rh, wl,
+ &aob, &zob, &hob, &dob, &rob, &eo);
+
+ vvd(aob, 0.9251774485485515207e-1, 1e-12, "eraAtco13", "aob", status);
+ vvd(zob, 1.407661405256499357, 1e-12, "eraAtco13", "zob", status);
+ vvd(hob, -0.9265154431529724692e-1, 1e-12, "eraAtco13", "hob", status);
+ vvd(dob, 0.1716626560072526200, 1e-12, "eraAtco13", "dob", status);
+ vvd(rob, 2.710260453504961012, 1e-12, "eraAtco13", "rob", status);
+ vvd(eo, -0.003020548354802412839, 1e-14, "eraAtco13", "eo", status);
+ viv(j, 0, "eraAtco13", "j", status);
+
+}
+
+static void t_atic13(int *status)
+/*
+** - - - - - - - - -
+** t _ a t i c 1 3
+** - - - - - - - - -
+**
+** Test eraAtic13 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraAtic13, vvd
+**
+** This revision: 2017 March 15
+*/
+{
+ double ri, di, date1, date2, rc, dc, eo;
+
+
+ ri = 2.710121572969038991;
+ di = 0.1729371367218230438;
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+
+ eraAtic13(ri, di, date1, date2, &rc, &dc, &eo);
+
+ vvd(rc, 2.710126504531716819, 1e-12, "eraAtic13", "rc", status);
+ vvd(dc, 0.1740632537627034482, 1e-12, "eraAtic13", "dc", status);
+ vvd(eo, -0.002900618712657375647, 1e-14, "eraAtic13", "eo", status);
+
+}
+
+static void t_aticq(int *status)
+/*
+** - - - - - - - -
+** t _ a t i c q
+** - - - - - - - -
+**
+** Test eraAticq function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApci13, eraAticq, vvd
+**
+** This revision: 2017 March 15
+*/
+{
+ double date1, date2, eo, ri, di, rc, dc;
+ eraASTROM astrom;
+
+
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+ eraApci13(date1, date2, &astrom, &eo);
+ ri = 2.710121572969038991;
+ di = 0.1729371367218230438;
+
+ eraAticq(ri, di, &astrom, &rc, &dc);
+
+ vvd(rc, 2.710126504531716819, 1e-12, "eraAticq", "rc", status);
+ vvd(dc, 0.1740632537627034482, 1e-12, "eraAticq", "dc", status);
+
+}
+
+static void t_aticqn(int *status)
+/*
+** - - - - - - - - -
+** t _ a t i c q n
+** - - - - - - - - -
+**
+** Test eraAticqn function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApci13, eraAticqn, vvd
+**
+** This revision: 2017 March 15
+*/
+{
+ double date1, date2, eo, ri, di, rc, dc;
+ eraLDBODY b[3];
+ eraASTROM astrom;
+
+
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+ eraApci13(date1, date2, &astrom, &eo);
+ ri = 2.709994899247599271;
+ di = 0.1728740720983623469;
+ b[0].bm = 0.00028574;
+ b[0].dl = 3e-10;
+ b[0].pv[0][0] = -7.81014427;
+ b[0].pv[0][1] = -5.60956681;
+ b[0].pv[0][2] = -1.98079819;
+ b[0].pv[1][0] = 0.0030723249;
+ b[0].pv[1][1] = -0.00406995477;
+ b[0].pv[1][2] = -0.00181335842;
+ b[1].bm = 0.00095435;
+ b[1].dl = 3e-9;
+ b[1].pv[0][0] = 0.738098796;
+ b[1].pv[0][1] = 4.63658692;
+ b[1].pv[0][2] = 1.9693136;
+ b[1].pv[1][0] = -0.00755816922;
+ b[1].pv[1][1] = 0.00126913722;
+ b[1].pv[1][2] = 0.000727999001;
+ b[2].bm = 1.0;
+ b[2].dl = 6e-6;
+ b[2].pv[0][0] = -0.000712174377;
+ b[2].pv[0][1] = -0.00230478303;
+ b[2].pv[0][2] = -0.00105865966;
+ b[2].pv[1][0] = 6.29235213e-6;
+ b[2].pv[1][1] = -3.30888387e-7;
+ b[2].pv[1][2] = -2.96486623e-7;
+
+ eraAticqn(ri, di, &astrom, 3, b, &rc, &dc);
+
+ vvd(rc, 2.709999575033027333, 1e-12, "eraAtciqn", "rc", status);
+ vvd(dc, 0.1739999656316469990, 1e-12, "eraAtciqn", "dc", status);
+
+}
+
+static void t_atio13(int *status)
+/*
+** - - - - - - - - -
+** t _ a t i o 1 3
+** - - - - - - - - -
+**
+** Test eraAtio13 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraAtio13, vvd, viv
+**
+** This revision: 2021 January 5
+*/
+{
+ double ri, di, utc1, utc2, dut1, elong, phi, hm, xp, yp,
+ phpa, tc, rh, wl, aob, zob, hob, dob, rob;
+ int j;
+
+
+ ri = 2.710121572969038991;
+ di = 0.1729371367218230438;
+ utc1 = 2456384.5;
+ utc2 = 0.969254051;
+ dut1 = 0.1550675;
+ elong = -0.527800806;
+ phi = -1.2345856;
+ hm = 2738.0;
+ xp = 2.47230737e-7;
+ yp = 1.82640464e-6;
+ phpa = 731.0;
+ tc = 12.8;
+ rh = 0.59;
+ wl = 0.55;
+
+ j = eraAtio13(ri, di, utc1, utc2, dut1, elong, phi, hm,
+ xp, yp, phpa, tc, rh, wl,
+ &aob, &zob, &hob, &dob, &rob);
+
+ vvd(aob, 0.9233952224895122499e-1, 1e-12, "eraAtio13", "aob", status);
+ vvd(zob, 1.407758704513549991, 1e-12, "eraAtio13", "zob", status);
+ vvd(hob, -0.9247619879881698140e-1, 1e-12, "eraAtio13", "hob", status);
+ vvd(dob, 0.1717653435756234676, 1e-12, "eraAtio13", "dob", status);
+ vvd(rob, 2.710085107988480746, 1e-12, "eraAtio13", "rob", status);
+ viv(j, 0, "eraAtio13", "j", status);
+
+}
+
+static void t_atioq(int *status)
+/*
+** - - - - - - - -
+** t _ a t i o q
+** - - - - - - - -
+**
+** Test eraAtioq function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraApio13, eraAtioq, vvd, viv
+**
+** This revision: 2021 January 5
+*/
+{
+ double utc1, utc2, dut1, elong, phi, hm, xp, yp,
+ phpa, tc, rh, wl, ri, di, aob, zob, hob, dob, rob;
+ eraASTROM astrom;
+
+
+ utc1 = 2456384.5;
+ utc2 = 0.969254051;
+ dut1 = 0.1550675;
+ elong = -0.527800806;
+ phi = -1.2345856;
+ hm = 2738.0;
+ xp = 2.47230737e-7;
+ yp = 1.82640464e-6;
+ phpa = 731.0;
+ tc = 12.8;
+ rh = 0.59;
+ wl = 0.55;
+ (void) eraApio13(utc1, utc2, dut1, elong, phi, hm, xp, yp,
+ phpa, tc, rh, wl, &astrom);
+ ri = 2.710121572969038991;
+ di = 0.1729371367218230438;
+
+ eraAtioq(ri, di, &astrom, &aob, &zob, &hob, &dob, &rob);
+
+ vvd(aob, 0.9233952224895122499e-1, 1e-12, "eraAtioq", "aob", status);
+ vvd(zob, 1.407758704513549991, 1e-12, "eraAtioq", "zob", status);
+ vvd(hob, -0.9247619879881698140e-1, 1e-12, "eraAtioq", "hob", status);
+ vvd(dob, 0.1717653435756234676, 1e-12, "eraAtioq", "dob", status);
+ vvd(rob, 2.710085107988480746, 1e-12, "eraAtioq", "rob", status);
+
+}
+
+static void t_atoc13(int *status)
+/*
+** - - - - - - - - -
+** t _ a t o c 1 3
+** - - - - - - - - -
+**
+** Test eraAtoc13 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraAtoc13, vvd, viv
+**
+** This revision: 2021 January 5
+*/
+{
+ double utc1, utc2, dut1,
+ elong, phi, hm, xp, yp, phpa, tc, rh, wl,
+ ob1, ob2, rc, dc;
+ int j;
+
+
+ utc1 = 2456384.5;
+ utc2 = 0.969254051;
+ dut1 = 0.1550675;
+ elong = -0.527800806;
+ phi = -1.2345856;
+ hm = 2738.0;
+ xp = 2.47230737e-7;
+ yp = 1.82640464e-6;
+ phpa = 731.0;
+ tc = 12.8;
+ rh = 0.59;
+ wl = 0.55;
+
+ ob1 = 2.710085107986886201;
+ ob2 = 0.1717653435758265198;
+ j = eraAtoc13 ( "R", ob1, ob2, utc1, utc2, dut1,
+ elong, phi, hm, xp, yp, phpa, tc, rh, wl,
+ &rc, &dc);
+ vvd(rc, 2.709956744659136129, 1e-12, "eraAtoc13", "R/rc", status);
+ vvd(dc, 0.1741696500898471362, 1e-12, "eraAtoc13", "R/dc", status);
+ viv(j, 0, "eraAtoc13", "R/j", status);
+
+ ob1 = -0.09247619879782006106;
+ ob2 = 0.1717653435758265198;
+ j = eraAtoc13 ( "H", ob1, ob2, utc1, utc2, dut1,
+ elong, phi, hm, xp, yp, phpa, tc, rh, wl,
+ &rc, &dc);
+ vvd(rc, 2.709956744659734086, 1e-12, "eraAtoc13", "H/rc", status);
+ vvd(dc, 0.1741696500898471362, 1e-12, "eraAtoc13", "H/dc", status);
+ viv(j, 0, "eraAtoc13", "H/j", status);
+
+ ob1 = 0.09233952224794989993;
+ ob2 = 1.407758704513722461;
+ j = eraAtoc13 ( "A", ob1, ob2, utc1, utc2, dut1,
+ elong, phi, hm, xp, yp, phpa, tc, rh, wl,
+ &rc, &dc);
+ vvd(rc, 2.709956744659734086, 1e-12, "eraAtoc13", "A/rc", status);
+ vvd(dc, 0.1741696500898471366, 1e-12, "eraAtoc13", "A/dc", status);
+ viv(j, 0, "eraAtoc13", "A/j", status);
+
+}
+
+static void t_atoi13(int *status)
+/*
+** - - - - - - - - -
+** t _ a t o i 1 3
+** - - - - - - - - -
+**
+** Test eraAtoi13 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraAtoi13, vvd, viv
+**
+** This revision: 2021 January 5
+*/
+{
+ double utc1, utc2, dut1, elong, phi, hm, xp, yp, phpa, tc, rh, wl,
+ ob1, ob2, ri, di;
+ int j;
+
+
+ utc1 = 2456384.5;
+ utc2 = 0.969254051;
+ dut1 = 0.1550675;
+ elong = -0.527800806;
+ phi = -1.2345856;
+ hm = 2738.0;
+ xp = 2.47230737e-7;
+ yp = 1.82640464e-6;
+ phpa = 731.0;
+ tc = 12.8;
+ rh = 0.59;
+ wl = 0.55;
+
+ ob1 = 2.710085107986886201;
+ ob2 = 0.1717653435758265198;
+ j = eraAtoi13 ( "R", ob1, ob2, utc1, utc2, dut1,
+ elong, phi, hm, xp, yp, phpa, tc, rh, wl,
+ &ri, &di);
+ vvd(ri, 2.710121574447540810, 1e-12, "eraAtoi13", "R/ri", status);
+ vvd(di, 0.1729371839116608778, 1e-12, "eraAtoi13", "R/di", status);
+ viv(j, 0, "eraAtoi13", "R/J", status);
+
+ ob1 = -0.09247619879782006106;
+ ob2 = 0.1717653435758265198;
+ j = eraAtoi13 ( "H", ob1, ob2, utc1, utc2, dut1,
+ elong, phi, hm, xp, yp, phpa, tc, rh, wl,
+ &ri, &di);
+ vvd(ri, 2.710121574448138676, 1e-12, "eraAtoi13", "H/ri", status);
+ vvd(di, 0.1729371839116608778, 1e-12, "eraAtoi13", "H/di", status);
+ viv(j, 0, "eraAtoi13", "H/J", status);
+
+ ob1 = 0.09233952224794989993;
+ ob2 = 1.407758704513722461;
+ j = eraAtoi13 ( "A", ob1, ob2, utc1, utc2, dut1,
+ elong, phi, hm, xp, yp, phpa, tc, rh, wl,
+ &ri, &di);
+ vvd(ri, 2.710121574448138676, 1e-12, "eraAtoi13", "A/ri", status);
+ vvd(di, 0.1729371839116608781, 1e-12, "eraAtoi13", "A/di", status);
+ viv(j, 0, "eraAtoi13", "A/J", status);
+
+}
+
+static void t_atoiq(int *status)
+/*
+** - - - - - - - -
+** t _ a t o i q
+** - - - - - - - -
+*
+** Test eraAtoiq function.
+*
+** Returned:
+** status int FALSE = success, TRUE = fail
+*
+** Called: eraApio13, eraAtoiq, vvd
+*
+** This revision: 2021 January 5
+*/
+{
+ double utc1, utc2, dut1, elong, phi, hm, xp, yp, phpa, tc, rh, wl,
+ ob1, ob2, ri, di;
+ eraASTROM astrom;
+
+
+ utc1 = 2456384.5;
+ utc2 = 0.969254051;
+ dut1 = 0.1550675;
+ elong = -0.527800806;
+ phi = -1.2345856;
+ hm = 2738.0;
+ xp = 2.47230737e-7;
+ yp = 1.82640464e-6;
+ phpa = 731.0;
+ tc = 12.8;
+ rh = 0.59;
+ wl = 0.55;
+ (void) eraApio13(utc1, utc2, dut1, elong, phi, hm, xp, yp,
+ phpa, tc, rh, wl, &astrom);
+
+ ob1 = 2.710085107986886201;
+ ob2 = 0.1717653435758265198;
+ eraAtoiq("R", ob1, ob2, &astrom, &ri, &di);
+ vvd(ri, 2.710121574447540810, 1e-12,
+ "eraAtoiq", "R/ri", status);
+ vvd(di, 0.17293718391166087785, 1e-12,
+ "eraAtoiq", "R/di", status);
+
+ ob1 = -0.09247619879782006106;
+ ob2 = 0.1717653435758265198;
+ eraAtoiq("H", ob1, ob2, &astrom, &ri, &di);
+ vvd(ri, 2.710121574448138676, 1e-12,
+ "eraAtoiq", "H/ri", status);
+ vvd(di, 0.1729371839116608778, 1e-12,
+ "eraAtoiq", "H/di", status);
+
+ ob1 = 0.09233952224794989993;
+ ob2 = 1.407758704513722461;
+ eraAtoiq("A", ob1, ob2, &astrom, &ri, &di);
+ vvd(ri, 2.710121574448138676, 1e-12,
+ "eraAtoiq", "A/ri", status);
+ vvd(di, 0.1729371839116608781, 1e-12,
+ "eraAtoiq", "A/di", status);
+
+}
+
+static void t_bi00(int *status)
+/*
+** - - - - - - -
+** t _ b i 0 0
+** - - - - - - -
+**
+** Test eraBi00 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraBi00, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double dpsibi, depsbi, dra;
+
+ eraBi00(&dpsibi, &depsbi, &dra);
+
+ vvd(dpsibi, -0.2025309152835086613e-6, 1e-12,
+ "eraBi00", "dpsibi", status);
+ vvd(depsbi, -0.3306041454222147847e-7, 1e-12,
+ "eraBi00", "depsbi", status);
+ vvd(dra, -0.7078279744199225506e-7, 1e-12,
+ "eraBi00", "dra", status);
+}
+
+static void t_bp00(int *status)
+/*
+** - - - - - - -
+** t _ b p 0 0
+** - - - - - - -
+**
+** Test eraBp00 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraBp00, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rb[3][3], rp[3][3], rbp[3][3];
+
+
+ eraBp00(2400000.5, 50123.9999, rb, rp, rbp);
+
+ vvd(rb[0][0], 0.9999999999999942498, 1e-12,
+ "eraBp00", "rb11", status);
+ vvd(rb[0][1], -0.7078279744199196626e-7, 1e-16,
+ "eraBp00", "rb12", status);
+ vvd(rb[0][2], 0.8056217146976134152e-7, 1e-16,
+ "eraBp00", "rb13", status);
+ vvd(rb[1][0], 0.7078279477857337206e-7, 1e-16,
+ "eraBp00", "rb21", status);
+ vvd(rb[1][1], 0.9999999999999969484, 1e-12,
+ "eraBp00", "rb22", status);
+ vvd(rb[1][2], 0.3306041454222136517e-7, 1e-16,
+ "eraBp00", "rb23", status);
+ vvd(rb[2][0], -0.8056217380986972157e-7, 1e-16,
+ "eraBp00", "rb31", status);
+ vvd(rb[2][1], -0.3306040883980552500e-7, 1e-16,
+ "eraBp00", "rb32", status);
+ vvd(rb[2][2], 0.9999999999999962084, 1e-12,
+ "eraBp00", "rb33", status);
+
+ vvd(rp[0][0], 0.9999995504864048241, 1e-12,
+ "eraBp00", "rp11", status);
+ vvd(rp[0][1], 0.8696113836207084411e-3, 1e-14,
+ "eraBp00", "rp12", status);
+ vvd(rp[0][2], 0.3778928813389333402e-3, 1e-14,
+ "eraBp00", "rp13", status);
+ vvd(rp[1][0], -0.8696113818227265968e-3, 1e-14,
+ "eraBp00", "rp21", status);
+ vvd(rp[1][1], 0.9999996218879365258, 1e-12,
+ "eraBp00", "rp22", status);
+ vvd(rp[1][2], -0.1690679263009242066e-6, 1e-14,
+ "eraBp00", "rp23", status);
+ vvd(rp[2][0], -0.3778928854764695214e-3, 1e-14,
+ "eraBp00", "rp31", status);
+ vvd(rp[2][1], -0.1595521004195286491e-6, 1e-14,
+ "eraBp00", "rp32", status);
+ vvd(rp[2][2], 0.9999999285984682756, 1e-12,
+ "eraBp00", "rp33", status);
+
+ vvd(rbp[0][0], 0.9999995505175087260, 1e-12,
+ "eraBp00", "rbp11", status);
+ vvd(rbp[0][1], 0.8695405883617884705e-3, 1e-14,
+ "eraBp00", "rbp12", status);
+ vvd(rbp[0][2], 0.3779734722239007105e-3, 1e-14,
+ "eraBp00", "rbp13", status);
+ vvd(rbp[1][0], -0.8695405990410863719e-3, 1e-14,
+ "eraBp00", "rbp21", status);
+ vvd(rbp[1][1], 0.9999996219494925900, 1e-12,
+ "eraBp00", "rbp22", status);
+ vvd(rbp[1][2], -0.1360775820404982209e-6, 1e-14,
+ "eraBp00", "rbp23", status);
+ vvd(rbp[2][0], -0.3779734476558184991e-3, 1e-14,
+ "eraBp00", "rbp31", status);
+ vvd(rbp[2][1], -0.1925857585832024058e-6, 1e-14,
+ "eraBp00", "rbp32", status);
+ vvd(rbp[2][2], 0.9999999285680153377, 1e-12,
+ "eraBp00", "rbp33", status);
+}
+
+static void t_bp06(int *status)
+/*
+** - - - - - - -
+** t _ b p 0 6
+** - - - - - - -
+**
+** Test eraBp06 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraBp06, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rb[3][3], rp[3][3], rbp[3][3];
+
+
+ eraBp06(2400000.5, 50123.9999, rb, rp, rbp);
+
+ vvd(rb[0][0], 0.9999999999999942497, 1e-12,
+ "eraBp06", "rb11", status);
+ vvd(rb[0][1], -0.7078368960971557145e-7, 1e-14,
+ "eraBp06", "rb12", status);
+ vvd(rb[0][2], 0.8056213977613185606e-7, 1e-14,
+ "eraBp06", "rb13", status);
+ vvd(rb[1][0], 0.7078368694637674333e-7, 1e-14,
+ "eraBp06", "rb21", status);
+ vvd(rb[1][1], 0.9999999999999969484, 1e-12,
+ "eraBp06", "rb22", status);
+ vvd(rb[1][2], 0.3305943742989134124e-7, 1e-14,
+ "eraBp06", "rb23", status);
+ vvd(rb[2][0], -0.8056214211620056792e-7, 1e-14,
+ "eraBp06", "rb31", status);
+ vvd(rb[2][1], -0.3305943172740586950e-7, 1e-14,
+ "eraBp06", "rb32", status);
+ vvd(rb[2][2], 0.9999999999999962084, 1e-12,
+ "eraBp06", "rb33", status);
+
+ vvd(rp[0][0], 0.9999995504864960278, 1e-12,
+ "eraBp06", "rp11", status);
+ vvd(rp[0][1], 0.8696112578855404832e-3, 1e-14,
+ "eraBp06", "rp12", status);
+ vvd(rp[0][2], 0.3778929293341390127e-3, 1e-14,
+ "eraBp06", "rp13", status);
+ vvd(rp[1][0], -0.8696112560510186244e-3, 1e-14,
+ "eraBp06", "rp21", status);
+ vvd(rp[1][1], 0.9999996218880458820, 1e-12,
+ "eraBp06", "rp22", status);
+ vvd(rp[1][2], -0.1691646168941896285e-6, 1e-14,
+ "eraBp06", "rp23", status);
+ vvd(rp[2][0], -0.3778929335557603418e-3, 1e-14,
+ "eraBp06", "rp31", status);
+ vvd(rp[2][1], -0.1594554040786495076e-6, 1e-14,
+ "eraBp06", "rp32", status);
+ vvd(rp[2][2], 0.9999999285984501222, 1e-12,
+ "eraBp06", "rp33", status);
+
+ vvd(rbp[0][0], 0.9999995505176007047, 1e-12,
+ "eraBp06", "rbp11", status);
+ vvd(rbp[0][1], 0.8695404617348208406e-3, 1e-14,
+ "eraBp06", "rbp12", status);
+ vvd(rbp[0][2], 0.3779735201865589104e-3, 1e-14,
+ "eraBp06", "rbp13", status);
+ vvd(rbp[1][0], -0.8695404723772031414e-3, 1e-14,
+ "eraBp06", "rbp21", status);
+ vvd(rbp[1][1], 0.9999996219496027161, 1e-12,
+ "eraBp06", "rbp22", status);
+ vvd(rbp[1][2], -0.1361752497080270143e-6, 1e-14,
+ "eraBp06", "rbp23", status);
+ vvd(rbp[2][0], -0.3779734957034089490e-3, 1e-14,
+ "eraBp06", "rbp31", status);
+ vvd(rbp[2][1], -0.1924880847894457113e-6, 1e-14,
+ "eraBp06", "rbp32", status);
+ vvd(rbp[2][2], 0.9999999285679971958, 1e-12,
+ "eraBp06", "rbp33", status);
+}
+
+static void t_bpn2xy(int *status)
+/*
+** - - - - - - - - -
+** t _ b p n 2 x y
+** - - - - - - - - -
+**
+** Test eraBpn2xy function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraBpn2xy, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rbpn[3][3], x, y;
+
+
+ rbpn[0][0] = 9.999962358680738e-1;
+ rbpn[0][1] = -2.516417057665452e-3;
+ rbpn[0][2] = -1.093569785342370e-3;
+
+ rbpn[1][0] = 2.516462370370876e-3;
+ rbpn[1][1] = 9.999968329010883e-1;
+ rbpn[1][2] = 4.006159587358310e-5;
+
+ rbpn[2][0] = 1.093465510215479e-3;
+ rbpn[2][1] = -4.281337229063151e-5;
+ rbpn[2][2] = 9.999994012499173e-1;
+
+ eraBpn2xy(rbpn, &x, &y);
+
+ vvd(x, 1.093465510215479e-3, 1e-12, "eraBpn2xy", "x", status);
+ vvd(y, -4.281337229063151e-5, 1e-12, "eraBpn2xy", "y", status);
+
+}
+
+static void t_c2i00a(int *status)
+/*
+** - - - - - - - - -
+** t _ c 2 i 0 0 a
+** - - - - - - - - -
+**
+** Test eraC2i00a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraC2i00a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rc2i[3][3];
+
+
+ eraC2i00a(2400000.5, 53736.0, rc2i);
+
+ vvd(rc2i[0][0], 0.9999998323037165557, 1e-12,
+ "eraC2i00a", "11", status);
+ vvd(rc2i[0][1], 0.5581526348992140183e-9, 1e-12,
+ "eraC2i00a", "12", status);
+ vvd(rc2i[0][2], -0.5791308477073443415e-3, 1e-12,
+ "eraC2i00a", "13", status);
+
+ vvd(rc2i[1][0], -0.2384266227870752452e-7, 1e-12,
+ "eraC2i00a", "21", status);
+ vvd(rc2i[1][1], 0.9999999991917405258, 1e-12,
+ "eraC2i00a", "22", status);
+ vvd(rc2i[1][2], -0.4020594955028209745e-4, 1e-12,
+ "eraC2i00a", "23", status);
+
+ vvd(rc2i[2][0], 0.5791308472168152904e-3, 1e-12,
+ "eraC2i00a", "31", status);
+ vvd(rc2i[2][1], 0.4020595661591500259e-4, 1e-12,
+ "eraC2i00a", "32", status);
+ vvd(rc2i[2][2], 0.9999998314954572304, 1e-12,
+ "eraC2i00a", "33", status);
+
+}
+
+static void t_c2i00b(int *status)
+/*
+** - - - - - - - - -
+** t _ c 2 i 0 0 b
+** - - - - - - - - -
+**
+** Test eraC2i00b function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraC2i00b, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rc2i[3][3];
+
+
+ eraC2i00b(2400000.5, 53736.0, rc2i);
+
+ vvd(rc2i[0][0], 0.9999998323040954356, 1e-12,
+ "eraC2i00b", "11", status);
+ vvd(rc2i[0][1], 0.5581526349131823372e-9, 1e-12,
+ "eraC2i00b", "12", status);
+ vvd(rc2i[0][2], -0.5791301934855394005e-3, 1e-12,
+ "eraC2i00b", "13", status);
+
+ vvd(rc2i[1][0], -0.2384239285499175543e-7, 1e-12,
+ "eraC2i00b", "21", status);
+ vvd(rc2i[1][1], 0.9999999991917574043, 1e-12,
+ "eraC2i00b", "22", status);
+ vvd(rc2i[1][2], -0.4020552974819030066e-4, 1e-12,
+ "eraC2i00b", "23", status);
+
+ vvd(rc2i[2][0], 0.5791301929950208873e-3, 1e-12,
+ "eraC2i00b", "31", status);
+ vvd(rc2i[2][1], 0.4020553681373720832e-4, 1e-12,
+ "eraC2i00b", "32", status);
+ vvd(rc2i[2][2], 0.9999998314958529887, 1e-12,
+ "eraC2i00b", "33", status);
+
+}
+
+static void t_c2i06a(int *status)
+/*
+** - - - - - - - - -
+** t _ c 2 i 0 6 a
+** - - - - - - - - -
+**
+** Test eraC2i06a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraC2i06a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rc2i[3][3];
+
+
+ eraC2i06a(2400000.5, 53736.0, rc2i);
+
+ vvd(rc2i[0][0], 0.9999998323037159379, 1e-12,
+ "eraC2i06a", "11", status);
+ vvd(rc2i[0][1], 0.5581121329587613787e-9, 1e-12,
+ "eraC2i06a", "12", status);
+ vvd(rc2i[0][2], -0.5791308487740529749e-3, 1e-12,
+ "eraC2i06a", "13", status);
+
+ vvd(rc2i[1][0], -0.2384253169452306581e-7, 1e-12,
+ "eraC2i06a", "21", status);
+ vvd(rc2i[1][1], 0.9999999991917467827, 1e-12,
+ "eraC2i06a", "22", status);
+ vvd(rc2i[1][2], -0.4020579392895682558e-4, 1e-12,
+ "eraC2i06a", "23", status);
+
+ vvd(rc2i[2][0], 0.5791308482835292617e-3, 1e-12,
+ "eraC2i06a", "31", status);
+ vvd(rc2i[2][1], 0.4020580099454020310e-4, 1e-12,
+ "eraC2i06a", "32", status);
+ vvd(rc2i[2][2], 0.9999998314954628695, 1e-12,
+ "eraC2i06a", "33", status);
+
+}
+
+static void t_c2ibpn(int *status)
+/*
+** - - - - - - - - -
+** t _ c 2 i b p n
+** - - - - - - - - -
+**
+** Test eraC2ibpn function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraC2ibpn, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rbpn[3][3], rc2i[3][3];
+
+
+ rbpn[0][0] = 9.999962358680738e-1;
+ rbpn[0][1] = -2.516417057665452e-3;
+ rbpn[0][2] = -1.093569785342370e-3;
+
+ rbpn[1][0] = 2.516462370370876e-3;
+ rbpn[1][1] = 9.999968329010883e-1;
+ rbpn[1][2] = 4.006159587358310e-5;
+
+ rbpn[2][0] = 1.093465510215479e-3;
+ rbpn[2][1] = -4.281337229063151e-5;
+ rbpn[2][2] = 9.999994012499173e-1;
+
+ eraC2ibpn(2400000.5, 50123.9999, rbpn, rc2i);
+
+ vvd(rc2i[0][0], 0.9999994021664089977, 1e-12,
+ "eraC2ibpn", "11", status);
+ vvd(rc2i[0][1], -0.3869195948017503664e-8, 1e-12,
+ "eraC2ibpn", "12", status);
+ vvd(rc2i[0][2], -0.1093465511383285076e-2, 1e-12,
+ "eraC2ibpn", "13", status);
+
+ vvd(rc2i[1][0], 0.5068413965715446111e-7, 1e-12,
+ "eraC2ibpn", "21", status);
+ vvd(rc2i[1][1], 0.9999999990835075686, 1e-12,
+ "eraC2ibpn", "22", status);
+ vvd(rc2i[1][2], 0.4281334246452708915e-4, 1e-12,
+ "eraC2ibpn", "23", status);
+
+ vvd(rc2i[2][0], 0.1093465510215479000e-2, 1e-12,
+ "eraC2ibpn", "31", status);
+ vvd(rc2i[2][1], -0.4281337229063151000e-4, 1e-12,
+ "eraC2ibpn", "32", status);
+ vvd(rc2i[2][2], 0.9999994012499173103, 1e-12,
+ "eraC2ibpn", "33", status);
+
+}
+
+static void t_c2ixy(int *status)
+/*
+** - - - - - - - -
+** t _ c 2 i x y
+** - - - - - - - -
+**
+** Test eraC2ixy function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraC2ixy, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double x, y, rc2i[3][3];
+
+
+ x = 0.5791308486706011000e-3;
+ y = 0.4020579816732961219e-4;
+
+ eraC2ixy(2400000.5, 53736, x, y, rc2i);
+
+ vvd(rc2i[0][0], 0.9999998323037157138, 1e-12,
+ "eraC2ixy", "11", status);
+ vvd(rc2i[0][1], 0.5581526349032241205e-9, 1e-12,
+ "eraC2ixy", "12", status);
+ vvd(rc2i[0][2], -0.5791308491611263745e-3, 1e-12,
+ "eraC2ixy", "13", status);
+
+ vvd(rc2i[1][0], -0.2384257057469842953e-7, 1e-12,
+ "eraC2ixy", "21", status);
+ vvd(rc2i[1][1], 0.9999999991917468964, 1e-12,
+ "eraC2ixy", "22", status);
+ vvd(rc2i[1][2], -0.4020579110172324363e-4, 1e-12,
+ "eraC2ixy", "23", status);
+
+ vvd(rc2i[2][0], 0.5791308486706011000e-3, 1e-12,
+ "eraC2ixy", "31", status);
+ vvd(rc2i[2][1], 0.4020579816732961219e-4, 1e-12,
+ "eraC2ixy", "32", status);
+ vvd(rc2i[2][2], 0.9999998314954627590, 1e-12,
+ "eraC2ixy", "33", status);
+
+}
+
+static void t_c2ixys(int *status)
+/*
+** - - - - - - - - -
+** t _ c 2 i x y s
+** - - - - - - - - -
+**
+** Test eraC2ixys function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraC2ixys, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double x, y, s, rc2i[3][3];
+
+
+ x = 0.5791308486706011000e-3;
+ y = 0.4020579816732961219e-4;
+ s = -0.1220040848472271978e-7;
+
+ eraC2ixys(x, y, s, rc2i);
+
+ vvd(rc2i[0][0], 0.9999998323037157138, 1e-12,
+ "eraC2ixys", "11", status);
+ vvd(rc2i[0][1], 0.5581984869168499149e-9, 1e-12,
+ "eraC2ixys", "12", status);
+ vvd(rc2i[0][2], -0.5791308491611282180e-3, 1e-12,
+ "eraC2ixys", "13", status);
+
+ vvd(rc2i[1][0], -0.2384261642670440317e-7, 1e-12,
+ "eraC2ixys", "21", status);
+ vvd(rc2i[1][1], 0.9999999991917468964, 1e-12,
+ "eraC2ixys", "22", status);
+ vvd(rc2i[1][2], -0.4020579110169668931e-4, 1e-12,
+ "eraC2ixys", "23", status);
+
+ vvd(rc2i[2][0], 0.5791308486706011000e-3, 1e-12,
+ "eraC2ixys", "31", status);
+ vvd(rc2i[2][1], 0.4020579816732961219e-4, 1e-12,
+ "eraC2ixys", "32", status);
+ vvd(rc2i[2][2], 0.9999998314954627590, 1e-12,
+ "eraC2ixys", "33", status);
+
+}
+
+static void t_c2s(int *status)
+/*
+** - - - - - -
+** t _ c 2 s
+** - - - - - -
+**
+** Test eraC2s function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraC2s, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double p[3], theta, phi;
+
+
+ p[0] = 100.0;
+ p[1] = -50.0;
+ p[2] = 25.0;
+
+ eraC2s(p, &theta, &phi);
+
+ vvd(theta, -0.4636476090008061162, 1e-14, "eraC2s", "theta", status);
+ vvd(phi, 0.2199879773954594463, 1e-14, "eraC2s", "phi", status);
+
+}
+
+static void t_c2t00a(int *status)
+/*
+** - - - - - - - - -
+** t _ c 2 t 0 0 a
+** - - - - - - - - -
+**
+** Test eraC2t00a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraC2t00a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double tta, ttb, uta, utb, xp, yp, rc2t[3][3];
+
+
+ tta = 2400000.5;
+ uta = 2400000.5;
+ ttb = 53736.0;
+ utb = 53736.0;
+ xp = 2.55060238e-7;
+ yp = 1.860359247e-6;
+
+ eraC2t00a(tta, ttb, uta, utb, xp, yp, rc2t);
+
+ vvd(rc2t[0][0], -0.1810332128307182668, 1e-12,
+ "eraC2t00a", "11", status);
+ vvd(rc2t[0][1], 0.9834769806938457836, 1e-12,
+ "eraC2t00a", "12", status);
+ vvd(rc2t[0][2], 0.6555535638688341725e-4, 1e-12,
+ "eraC2t00a", "13", status);
+
+ vvd(rc2t[1][0], -0.9834768134135984552, 1e-12,
+ "eraC2t00a", "21", status);
+ vvd(rc2t[1][1], -0.1810332203649520727, 1e-12,
+ "eraC2t00a", "22", status);
+ vvd(rc2t[1][2], 0.5749801116141056317e-3, 1e-12,
+ "eraC2t00a", "23", status);
+
+ vvd(rc2t[2][0], 0.5773474014081406921e-3, 1e-12,
+ "eraC2t00a", "31", status);
+ vvd(rc2t[2][1], 0.3961832391770163647e-4, 1e-12,
+ "eraC2t00a", "32", status);
+ vvd(rc2t[2][2], 0.9999998325501692289, 1e-12,
+ "eraC2t00a", "33", status);
+
+}
+
+static void t_c2t00b(int *status)
+/*
+** - - - - - - - - -
+** t _ c 2 t 0 0 b
+** - - - - - - - - -
+**
+** Test eraC2t00b function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraC2t00b, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double tta, ttb, uta, utb, xp, yp, rc2t[3][3];
+
+
+ tta = 2400000.5;
+ uta = 2400000.5;
+ ttb = 53736.0;
+ utb = 53736.0;
+ xp = 2.55060238e-7;
+ yp = 1.860359247e-6;
+
+ eraC2t00b(tta, ttb, uta, utb, xp, yp, rc2t);
+
+ vvd(rc2t[0][0], -0.1810332128439678965, 1e-12,
+ "eraC2t00b", "11", status);
+ vvd(rc2t[0][1], 0.9834769806913872359, 1e-12,
+ "eraC2t00b", "12", status);
+ vvd(rc2t[0][2], 0.6555565082458415611e-4, 1e-12,
+ "eraC2t00b", "13", status);
+
+ vvd(rc2t[1][0], -0.9834768134115435923, 1e-12,
+ "eraC2t00b", "21", status);
+ vvd(rc2t[1][1], -0.1810332203784001946, 1e-12,
+ "eraC2t00b", "22", status);
+ vvd(rc2t[1][2], 0.5749793922030017230e-3, 1e-12,
+ "eraC2t00b", "23", status);
+
+ vvd(rc2t[2][0], 0.5773467471863534901e-3, 1e-12,
+ "eraC2t00b", "31", status);
+ vvd(rc2t[2][1], 0.3961790411549945020e-4, 1e-12,
+ "eraC2t00b", "32", status);
+ vvd(rc2t[2][2], 0.9999998325505635738, 1e-12,
+ "eraC2t00b", "33", status);
+
+}
+
+static void t_c2t06a(int *status)
+/*
+** - - - - - - - - -
+** t _ c 2 t 0 6 a
+** - - - - - - - - -
+**
+** Test eraC2t06a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraC2t06a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double tta, ttb, uta, utb, xp, yp, rc2t[3][3];
+
+
+ tta = 2400000.5;
+ uta = 2400000.5;
+ ttb = 53736.0;
+ utb = 53736.0;
+ xp = 2.55060238e-7;
+ yp = 1.860359247e-6;
+
+ eraC2t06a(tta, ttb, uta, utb, xp, yp, rc2t);
+
+ vvd(rc2t[0][0], -0.1810332128305897282, 1e-12,
+ "eraC2t06a", "11", status);
+ vvd(rc2t[0][1], 0.9834769806938592296, 1e-12,
+ "eraC2t06a", "12", status);
+ vvd(rc2t[0][2], 0.6555550962998436505e-4, 1e-12,
+ "eraC2t06a", "13", status);
+
+ vvd(rc2t[1][0], -0.9834768134136214897, 1e-12,
+ "eraC2t06a", "21", status);
+ vvd(rc2t[1][1], -0.1810332203649130832, 1e-12,
+ "eraC2t06a", "22", status);
+ vvd(rc2t[1][2], 0.5749800844905594110e-3, 1e-12,
+ "eraC2t06a", "23", status);
+
+ vvd(rc2t[2][0], 0.5773474024748545878e-3, 1e-12,
+ "eraC2t06a", "31", status);
+ vvd(rc2t[2][1], 0.3961816829632690581e-4, 1e-12,
+ "eraC2t06a", "32", status);
+ vvd(rc2t[2][2], 0.9999998325501747785, 1e-12,
+ "eraC2t06a", "33", status);
+
+}
+
+static void t_c2tcio(int *status)
+/*
+** - - - - - - - - -
+** t _ c 2 t c i o
+** - - - - - - - - -
+**
+** Test eraC2tcio function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraC2tcio, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rc2i[3][3], era, rpom[3][3], rc2t[3][3];
+
+
+ rc2i[0][0] = 0.9999998323037164738;
+ rc2i[0][1] = 0.5581526271714303683e-9;
+ rc2i[0][2] = -0.5791308477073443903e-3;
+
+ rc2i[1][0] = -0.2384266227524722273e-7;
+ rc2i[1][1] = 0.9999999991917404296;
+ rc2i[1][2] = -0.4020594955030704125e-4;
+
+ rc2i[2][0] = 0.5791308472168153320e-3;
+ rc2i[2][1] = 0.4020595661593994396e-4;
+ rc2i[2][2] = 0.9999998314954572365;
+
+ era = 1.75283325530307;
+
+ rpom[0][0] = 0.9999999999999674705;
+ rpom[0][1] = -0.1367174580728847031e-10;
+ rpom[0][2] = 0.2550602379999972723e-6;
+
+ rpom[1][0] = 0.1414624947957029721e-10;
+ rpom[1][1] = 0.9999999999982694954;
+ rpom[1][2] = -0.1860359246998866338e-5;
+
+ rpom[2][0] = -0.2550602379741215275e-6;
+ rpom[2][1] = 0.1860359247002413923e-5;
+ rpom[2][2] = 0.9999999999982369658;
+
+
+ eraC2tcio(rc2i, era, rpom, rc2t);
+
+ vvd(rc2t[0][0], -0.1810332128307110439, 1e-12,
+ "eraC2tcio", "11", status);
+ vvd(rc2t[0][1], 0.9834769806938470149, 1e-12,
+ "eraC2tcio", "12", status);
+ vvd(rc2t[0][2], 0.6555535638685466874e-4, 1e-12,
+ "eraC2tcio", "13", status);
+
+ vvd(rc2t[1][0], -0.9834768134135996657, 1e-12,
+ "eraC2tcio", "21", status);
+ vvd(rc2t[1][1], -0.1810332203649448367, 1e-12,
+ "eraC2tcio", "22", status);
+ vvd(rc2t[1][2], 0.5749801116141106528e-3, 1e-12,
+ "eraC2tcio", "23", status);
+
+ vvd(rc2t[2][0], 0.5773474014081407076e-3, 1e-12,
+ "eraC2tcio", "31", status);
+ vvd(rc2t[2][1], 0.3961832391772658944e-4, 1e-12,
+ "eraC2tcio", "32", status);
+ vvd(rc2t[2][2], 0.9999998325501691969, 1e-12,
+ "eraC2tcio", "33", status);
+
+}
+
+static void t_c2teqx(int *status)
+/*
+** - - - - - - - - -
+** t _ c 2 t e q x
+** - - - - - - - - -
+**
+** Test eraC2teqx function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraC2teqx, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rbpn[3][3], gst, rpom[3][3], rc2t[3][3];
+
+
+ rbpn[0][0] = 0.9999989440476103608;
+ rbpn[0][1] = -0.1332881761240011518e-2;
+ rbpn[0][2] = -0.5790767434730085097e-3;
+
+ rbpn[1][0] = 0.1332858254308954453e-2;
+ rbpn[1][1] = 0.9999991109044505944;
+ rbpn[1][2] = -0.4097782710401555759e-4;
+
+ rbpn[2][0] = 0.5791308472168153320e-3;
+ rbpn[2][1] = 0.4020595661593994396e-4;
+ rbpn[2][2] = 0.9999998314954572365;
+
+ gst = 1.754166138040730516;
+
+ rpom[0][0] = 0.9999999999999674705;
+ rpom[0][1] = -0.1367174580728847031e-10;
+ rpom[0][2] = 0.2550602379999972723e-6;
+
+ rpom[1][0] = 0.1414624947957029721e-10;
+ rpom[1][1] = 0.9999999999982694954;
+ rpom[1][2] = -0.1860359246998866338e-5;
+
+ rpom[2][0] = -0.2550602379741215275e-6;
+ rpom[2][1] = 0.1860359247002413923e-5;
+ rpom[2][2] = 0.9999999999982369658;
+
+ eraC2teqx(rbpn, gst, rpom, rc2t);
+
+ vvd(rc2t[0][0], -0.1810332128528685730, 1e-12,
+ "eraC2teqx", "11", status);
+ vvd(rc2t[0][1], 0.9834769806897685071, 1e-12,
+ "eraC2teqx", "12", status);
+ vvd(rc2t[0][2], 0.6555535639982634449e-4, 1e-12,
+ "eraC2teqx", "13", status);
+
+ vvd(rc2t[1][0], -0.9834768134095211257, 1e-12,
+ "eraC2teqx", "21", status);
+ vvd(rc2t[1][1], -0.1810332203871023800, 1e-12,
+ "eraC2teqx", "22", status);
+ vvd(rc2t[1][2], 0.5749801116126438962e-3, 1e-12,
+ "eraC2teqx", "23", status);
+
+ vvd(rc2t[2][0], 0.5773474014081539467e-3, 1e-12,
+ "eraC2teqx", "31", status);
+ vvd(rc2t[2][1], 0.3961832391768640871e-4, 1e-12,
+ "eraC2teqx", "32", status);
+ vvd(rc2t[2][2], 0.9999998325501691969, 1e-12,
+ "eraC2teqx", "33", status);
+
+}
+
+static void t_c2tpe(int *status)
+/*
+** - - - - - - - -
+** t _ c 2 t p e
+** - - - - - - - -
+**
+** Test eraC2tpe function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraC2tpe, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double tta, ttb, uta, utb, dpsi, deps, xp, yp, rc2t[3][3];
+
+
+ tta = 2400000.5;
+ uta = 2400000.5;
+ ttb = 53736.0;
+ utb = 53736.0;
+ deps = 0.4090789763356509900;
+ dpsi = -0.9630909107115582393e-5;
+ xp = 2.55060238e-7;
+ yp = 1.860359247e-6;
+
+ eraC2tpe(tta, ttb, uta, utb, dpsi, deps, xp, yp, rc2t);
+
+ vvd(rc2t[0][0], -0.1813677995763029394, 1e-12,
+ "eraC2tpe", "11", status);
+ vvd(rc2t[0][1], 0.9023482206891683275, 1e-12,
+ "eraC2tpe", "12", status);
+ vvd(rc2t[0][2], -0.3909902938641085751, 1e-12,
+ "eraC2tpe", "13", status);
+
+ vvd(rc2t[1][0], -0.9834147641476804807, 1e-12,
+ "eraC2tpe", "21", status);
+ vvd(rc2t[1][1], -0.1659883635434995121, 1e-12,
+ "eraC2tpe", "22", status);
+ vvd(rc2t[1][2], 0.7309763898042819705e-1, 1e-12,
+ "eraC2tpe", "23", status);
+
+ vvd(rc2t[2][0], 0.1059685430673215247e-2, 1e-12,
+ "eraC2tpe", "31", status);
+ vvd(rc2t[2][1], 0.3977631855605078674, 1e-12,
+ "eraC2tpe", "32", status);
+ vvd(rc2t[2][2], 0.9174875068792735362, 1e-12,
+ "eraC2tpe", "33", status);
+
+}
+
+static void t_c2txy(int *status)
+/*
+** - - - - - - - -
+** t _ c 2 t x y
+** - - - - - - - -
+**
+** Test eraC2txy function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraC2txy, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double tta, ttb, uta, utb, x, y, xp, yp, rc2t[3][3];
+
+
+ tta = 2400000.5;
+ uta = 2400000.5;
+ ttb = 53736.0;
+ utb = 53736.0;
+ x = 0.5791308486706011000e-3;
+ y = 0.4020579816732961219e-4;
+ xp = 2.55060238e-7;
+ yp = 1.860359247e-6;
+
+ eraC2txy(tta, ttb, uta, utb, x, y, xp, yp, rc2t);
+
+ vvd(rc2t[0][0], -0.1810332128306279253, 1e-12,
+ "eraC2txy", "11", status);
+ vvd(rc2t[0][1], 0.9834769806938520084, 1e-12,
+ "eraC2txy", "12", status);
+ vvd(rc2t[0][2], 0.6555551248057665829e-4, 1e-12,
+ "eraC2txy", "13", status);
+
+ vvd(rc2t[1][0], -0.9834768134136142314, 1e-12,
+ "eraC2txy", "21", status);
+ vvd(rc2t[1][1], -0.1810332203649529312, 1e-12,
+ "eraC2txy", "22", status);
+ vvd(rc2t[1][2], 0.5749800843594139912e-3, 1e-12,
+ "eraC2txy", "23", status);
+
+ vvd(rc2t[2][0], 0.5773474028619264494e-3, 1e-12,
+ "eraC2txy", "31", status);
+ vvd(rc2t[2][1], 0.3961816546911624260e-4, 1e-12,
+ "eraC2txy", "32", status);
+ vvd(rc2t[2][2], 0.9999998325501746670, 1e-12,
+ "eraC2txy", "33", status);
+
+}
+
+static void t_cal2jd(int *status)
+/*
+** - - - - - - - - -
+** t _ c a l 2 j d
+** - - - - - - - - -
+**
+** Test eraCal2jd function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraCal2jd, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ int j;
+ double djm0, djm;
+
+
+ j = eraCal2jd(2003, 06, 01, &djm0, &djm);
+
+ vvd(djm0, 2400000.5, 0.0, "eraCal2jd", "djm0", status);
+ vvd(djm, 52791.0, 0.0, "eraCal2jd", "djm", status);
+
+ viv(j, 0, "eraCal2jd", "j", status);
+
+}
+
+static void t_cp(int *status)
+/*
+** - - - - -
+** t _ c p
+** - - - - -
+**
+** Test eraCp function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraCp, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double p[3], c[3];
+
+
+ p[0] = 0.3;
+ p[1] = 1.2;
+ p[2] = -2.5;
+
+ eraCp(p, c);
+
+ vvd(c[0], 0.3, 0.0, "eraCp", "1", status);
+ vvd(c[1], 1.2, 0.0, "eraCp", "2", status);
+ vvd(c[2], -2.5, 0.0, "eraCp", "3", status);
+}
+
+static void t_cpv(int *status)
+/*
+** - - - - - -
+** t _ c p v
+** - - - - - -
+**
+** Test eraCpv function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraCpv, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double pv[2][3], c[2][3];
+
+
+ pv[0][0] = 0.3;
+ pv[0][1] = 1.2;
+ pv[0][2] = -2.5;
+
+ pv[1][0] = -0.5;
+ pv[1][1] = 3.1;
+ pv[1][2] = 0.9;
+
+ eraCpv(pv, c);
+
+ vvd(c[0][0], 0.3, 0.0, "eraCpv", "p1", status);
+ vvd(c[0][1], 1.2, 0.0, "eraCpv", "p2", status);
+ vvd(c[0][2], -2.5, 0.0, "eraCpv", "p3", status);
+
+ vvd(c[1][0], -0.5, 0.0, "eraCpv", "v1", status);
+ vvd(c[1][1], 3.1, 0.0, "eraCpv", "v2", status);
+ vvd(c[1][2], 0.9, 0.0, "eraCpv", "v3", status);
+
+}
+
+static void t_cr(int *status)
+/*
+** - - - - -
+** t _ c r
+** - - - - -
+**
+** Test eraCr function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraCr, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double r[3][3], c[3][3];
+
+
+ r[0][0] = 2.0;
+ r[0][1] = 3.0;
+ r[0][2] = 2.0;
+
+ r[1][0] = 3.0;
+ r[1][1] = 2.0;
+ r[1][2] = 3.0;
+
+ r[2][0] = 3.0;
+ r[2][1] = 4.0;
+ r[2][2] = 5.0;
+
+ eraCr(r, c);
+
+ vvd(c[0][0], 2.0, 0.0, "eraCr", "11", status);
+ vvd(c[0][1], 3.0, 0.0, "eraCr", "12", status);
+ vvd(c[0][2], 2.0, 0.0, "eraCr", "13", status);
+
+ vvd(c[1][0], 3.0, 0.0, "eraCr", "21", status);
+ vvd(c[1][1], 2.0, 0.0, "eraCr", "22", status);
+ vvd(c[1][2], 3.0, 0.0, "eraCr", "23", status);
+
+ vvd(c[2][0], 3.0, 0.0, "eraCr", "31", status);
+ vvd(c[2][1], 4.0, 0.0, "eraCr", "32", status);
+ vvd(c[2][2], 5.0, 0.0, "eraCr", "33", status);
+}
+
+static void t_d2dtf(int *status )
+/*
+** - - - - - - - -
+** t _ d 2 d t f
+** - - - - - - - -
+**
+** Test eraD2dtf function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraD2dtf, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ int j, iy, im, id, ihmsf[4];
+
+
+ j = eraD2dtf("UTC", 5, 2400000.5, 49533.99999, &iy, &im, &id, ihmsf);
+
+ viv(iy, 1994, "eraD2dtf", "y", status);
+ viv(im, 6, "eraD2dtf", "mo", status);
+ viv(id, 30, "eraD2dtf", "d", status);
+ viv(ihmsf[0], 23, "eraD2dtf", "h", status);
+ viv(ihmsf[1], 59, "eraD2dtf", "m", status);
+ viv(ihmsf[2], 60, "eraD2dtf", "s", status);
+ viv(ihmsf[3], 13599, "eraD2dtf", "f", status);
+ viv(j, 0, "eraD2dtf", "j", status);
+
+}
+
+static void t_d2tf(int *status)
+/*
+** - - - - - - -
+** t _ d 2 t f
+** - - - - - - -
+**
+** Test eraD2tf function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraD2tf, viv, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ int ihmsf[4];
+ char s;
+
+
+ eraD2tf(4, -0.987654321, &s, ihmsf);
+
+ viv((int)s, '-', "eraD2tf", "s", status);
+
+ viv(ihmsf[0], 23, "eraD2tf", "0", status);
+ viv(ihmsf[1], 42, "eraD2tf", "1", status);
+ viv(ihmsf[2], 13, "eraD2tf", "2", status);
+ viv(ihmsf[3], 3333, "eraD2tf", "3", status);
+
+}
+
+static void t_dat(int *status)
+/*
+** - - - - - -
+** t _ d a t
+** - - - - - -
+**
+** Test eraDat function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraDat, vvd, viv
+**
+** This revision: 2016 July 11
+*/
+{
+ int j;
+ double deltat;
+
+
+ j = eraDat(2003, 6, 1, 0.0, &deltat);
+
+ vvd(deltat, 32.0, 0.0, "eraDat", "d1", status);
+ viv(j, 0, "eraDat", "j1", status);
+
+ j = eraDat(2008, 1, 17, 0.0, &deltat);
+
+ vvd(deltat, 33.0, 0.0, "eraDat", "d2", status);
+ viv(j, 0, "eraDat", "j2", status);
+
+ j = eraDat(2017, 9, 1, 0.0, &deltat);
+
+ vvd(deltat, 37.0, 0.0, "eraDat", "d3", status);
+ viv(j, 0, "eraDat", "j3", status);
+
+}
+
+static void t_dtdb(int *status)
+/*
+** - - - - - - -
+** t _ d t d b
+** - - - - - - -
+**
+** Test eraDtdb function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraDtdb, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double dtdb;
+
+
+ dtdb = eraDtdb(2448939.5, 0.123, 0.76543, 5.0123, 5525.242, 3190.0);
+
+ vvd(dtdb, -0.1280368005936998991e-2, 1e-15, "eraDtdb", "", status);
+
+}
+
+static void t_dtf2d(int *status)
+/*
+** - - - - - - - -
+** t _ d t f 2 d
+** - - - - - - - -
+**
+** Test eraDtf2d function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraDtf2d, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double u1, u2;
+ int j;
+
+
+ j = eraDtf2d("UTC", 1994, 6, 30, 23, 59, 60.13599, &u1, &u2);
+
+ vvd(u1+u2, 2449534.49999, 1e-6, "eraDtf2d", "u", status);
+ viv(j, 0, "eraDtf2d", "j", status);
+
+}
+
+static void t_eceq06(int *status)
+/*
+** - - - - -
+** t _ e c e q 0 6
+** - - - - -
+**
+** Test eraEceq06 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEceq06, vvd
+**
+** This revision: 2016 March 12
+*/
+{
+ double date1, date2, dl, db, dr, dd;
+
+
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+ dl = 5.1;
+ db = -0.9;
+
+ eraEceq06(date1, date2, dl, db, &dr, &dd);
+
+ vvd(dr, 5.533459733613627767, 1e-14, "eraEceq06", "dr", status);
+ vvd(dd, -1.246542932554480576, 1e-14, "eraEceq06", "dd", status);
+
+}
+
+static void t_ecm06(int *status)
+/*
+** - - - - - - - -
+** t _ e c m 0 6
+** - - - - - - - -
+**
+** Test eraEcm06 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEcm06, vvd
+**
+** This revision: 2016 March 12
+*/
+{
+ double date1, date2, rm[3][3];
+
+
+ date1 = 2456165.5;
+ date2 = 0.401182685;
+
+ eraEcm06(date1, date2, rm);
+
+ vvd(rm[0][0], 0.9999952427708701137, 1e-14,
+ "eraEcm06", "rm11", status);
+ vvd(rm[0][1], -0.2829062057663042347e-2, 1e-14,
+ "eraEcm06", "rm12", status);
+ vvd(rm[0][2], -0.1229163741100017629e-2, 1e-14,
+ "eraEcm06", "rm13", status);
+ vvd(rm[1][0], 0.3084546876908653562e-2, 1e-14,
+ "eraEcm06", "rm21", status);
+ vvd(rm[1][1], 0.9174891871550392514, 1e-14,
+ "eraEcm06", "rm22", status);
+ vvd(rm[1][2], 0.3977487611849338124, 1e-14,
+ "eraEcm06", "rm23", status);
+ vvd(rm[2][0], 0.2488512951527405928e-5, 1e-14,
+ "eraEcm06", "rm31", status);
+ vvd(rm[2][1], -0.3977506604161195467, 1e-14,
+ "eraEcm06", "rm32", status);
+ vvd(rm[2][2], 0.9174935488232863071, 1e-14,
+ "eraEcm06", "rm33", status);
+
+}
+
+static void t_ee00(int *status)
+/*
+** - - - - - - -
+** t _ e e 0 0
+** - - - - - - -
+**
+** Test eraEe00 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEe00, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double epsa, dpsi, ee;
+
+
+ epsa = 0.4090789763356509900;
+ dpsi = -0.9630909107115582393e-5;
+
+ ee = eraEe00(2400000.5, 53736.0, epsa, dpsi);
+
+ vvd(ee, -0.8834193235367965479e-5, 1e-18, "eraEe00", "", status);
+
+}
+
+static void t_ee00a(int *status)
+/*
+** - - - - - - - -
+** t _ e e 0 0 a
+** - - - - - - - -
+**
+** Test eraEe00a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEe00a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double ee;
+
+
+ ee = eraEe00a(2400000.5, 53736.0);
+
+ vvd(ee, -0.8834192459222588227e-5, 1e-18, "eraEe00a", "", status);
+
+}
+
+static void t_ee00b(int *status)
+/*
+** - - - - - - - -
+** t _ e e 0 0 b
+** - - - - - - - -
+**
+** Test eraEe00b function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEe00b, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double ee;
+
+
+ ee = eraEe00b(2400000.5, 53736.0);
+
+ vvd(ee, -0.8835700060003032831e-5, 1e-18, "eraEe00b", "", status);
+
+}
+
+static void t_ee06a(int *status)
+/*
+** - - - - - - - -
+** t _ e e 0 6 a
+** - - - - - - - -
+**
+** Test eraEe06a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEe06a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double ee;
+
+
+ ee = eraEe06a(2400000.5, 53736.0);
+
+ vvd(ee, -0.8834195072043790156e-5, 1e-15, "eraEe06a", "", status);
+}
+
+static void t_eect00(int *status)
+/*
+** - - - - - - - - -
+** t _ e e c t 0 0
+** - - - - - - - - -
+**
+** Test eraEect00 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEect00, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double eect;
+
+
+ eect = eraEect00(2400000.5, 53736.0);
+
+ vvd(eect, 0.2046085004885125264e-8, 1e-20, "eraEect00", "", status);
+
+}
+
+static void t_eform(int *status)
+/*
+** - - - - - - - -
+** t _ e f o r m
+** - - - - - - - -
+**
+** Test eraEform function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEform, viv, vvd
+**
+** This revision: 2016 March 12
+*/
+{
+ int j;
+ double a, f;
+
+ j = eraEform(0, &a, &f);
+
+ viv(j, -1, "eraEform", "j0", status);
+
+ j = eraEform(ERFA_WGS84, &a, &f);
+
+ viv(j, 0, "eraEform", "j1", status);
+ vvd(a, 6378137.0, 1e-10, "eraEform", "a1", status);
+ vvd(f, 0.3352810664747480720e-2, 1e-18, "eraEform", "f1", status);
+
+ j = eraEform(ERFA_GRS80, &a, &f);
+
+ viv(j, 0, "eraEform", "j2", status);
+ vvd(a, 6378137.0, 1e-10, "eraEform", "a2", status);
+ vvd(f, 0.3352810681182318935e-2, 1e-18, "eraEform", "f2", status);
+
+ j = eraEform(ERFA_WGS72, &a, &f);
+
+ viv(j, 0, "eraEform", "j2", status);
+ vvd(a, 6378135.0, 1e-10, "eraEform", "a3", status);
+ vvd(f, 0.3352779454167504862e-2, 1e-18, "eraEform", "f3", status);
+
+ j = eraEform(4, &a, &f);
+ viv(j, -1, "eraEform", "j3", status);
+}
+
+static void t_eo06a(int *status)
+/*
+** - - - - - - - -
+** t _ e o 0 6 a
+** - - - - - - - -
+**
+** Test eraEo06a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEo06a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double eo;
+
+
+ eo = eraEo06a(2400000.5, 53736.0);
+
+ vvd(eo, -0.1332882371941833644e-2, 1e-15, "eraEo06a", "", status);
+
+}
+
+static void t_eors(int *status)
+/*
+** - - - - - - -
+** t _ e o r s
+** - - - - - - -
+**
+** Test eraEors function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEors, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rnpb[3][3], s, eo;
+
+
+ rnpb[0][0] = 0.9999989440476103608;
+ rnpb[0][1] = -0.1332881761240011518e-2;
+ rnpb[0][2] = -0.5790767434730085097e-3;
+
+ rnpb[1][0] = 0.1332858254308954453e-2;
+ rnpb[1][1] = 0.9999991109044505944;
+ rnpb[1][2] = -0.4097782710401555759e-4;
+
+ rnpb[2][0] = 0.5791308472168153320e-3;
+ rnpb[2][1] = 0.4020595661593994396e-4;
+ rnpb[2][2] = 0.9999998314954572365;
+
+ s = -0.1220040848472271978e-7;
+
+ eo = eraEors(rnpb, s);
+
+ vvd(eo, -0.1332882715130744606e-2, 1e-14, "eraEors", "", status);
+
+}
+
+static void t_epb(int *status)
+/*
+** - - - - - -
+** t _ e p b
+** - - - - - -
+**
+** Test eraEpb function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEpb, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double epb;
+
+
+ epb = eraEpb(2415019.8135, 30103.18648);
+
+ vvd(epb, 1982.418424159278580, 1e-12, "eraEpb", "", status);
+
+}
+
+static void t_epb2jd(int *status)
+/*
+** - - - - - - - - -
+** t _ e p b 2 j d
+** - - - - - - - - -
+**
+** Test eraEpb2jd function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEpb2jd, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double epb, djm0, djm;
+
+
+ epb = 1957.3;
+
+ eraEpb2jd(epb, &djm0, &djm);
+
+ vvd(djm0, 2400000.5, 1e-9, "eraEpb2jd", "djm0", status);
+ vvd(djm, 35948.1915101513, 1e-9, "eraEpb2jd", "mjd", status);
+
+}
+
+static void t_epj(int *status)
+/*
+** - - - - - -
+** t _ e p j
+** - - - - - -
+**
+** Test eraEpj function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEpj, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double epj;
+
+
+ epj = eraEpj(2451545, -7392.5);
+
+ vvd(epj, 1979.760438056125941, 1e-12, "eraEpj", "", status);
+
+}
+
+static void t_epj2jd(int *status)
+/*
+** - - - - - - - - -
+** t _ e p j 2 j d
+** - - - - - - - - -
+**
+** Test eraEpj2jd function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEpj2jd, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double epj, djm0, djm;
+
+
+ epj = 1996.8;
+
+ eraEpj2jd(epj, &djm0, &djm);
+
+ vvd(djm0, 2400000.5, 1e-9, "eraEpj2jd", "djm0", status);
+ vvd(djm, 50375.7, 1e-9, "eraEpj2jd", "mjd", status);
+
+}
+
+static void t_epv00(int *status)
+/*
+** - - - - - - - -
+** t _ e p v 0 0
+** - - - - - - - -
+**
+** Test eraEpv00 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEpv00, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double pvh[2][3], pvb[2][3];
+ int j;
+
+
+ j = eraEpv00(2400000.5, 53411.52501161, pvh, pvb);
+
+ vvd(pvh[0][0], -0.7757238809297706813, 1e-14,
+ "eraEpv00", "ph(x)", status);
+ vvd(pvh[0][1], 0.5598052241363340596, 1e-14,
+ "eraEpv00", "ph(y)", status);
+ vvd(pvh[0][2], 0.2426998466481686993, 1e-14,
+ "eraEpv00", "ph(z)", status);
+
+ vvd(pvh[1][0], -0.1091891824147313846e-1, 1e-15,
+ "eraEpv00", "vh(x)", status);
+ vvd(pvh[1][1], -0.1247187268440845008e-1, 1e-15,
+ "eraEpv00", "vh(y)", status);
+ vvd(pvh[1][2], -0.5407569418065039061e-2, 1e-15,
+ "eraEpv00", "vh(z)", status);
+
+ vvd(pvb[0][0], -0.7714104440491111971, 1e-14,
+ "eraEpv00", "pb(x)", status);
+ vvd(pvb[0][1], 0.5598412061824171323, 1e-14,
+ "eraEpv00", "pb(y)", status);
+ vvd(pvb[0][2], 0.2425996277722452400, 1e-14,
+ "eraEpv00", "pb(z)", status);
+
+ vvd(pvb[1][0], -0.1091874268116823295e-1, 1e-15,
+ "eraEpv00", "vb(x)", status);
+ vvd(pvb[1][1], -0.1246525461732861538e-1, 1e-15,
+ "eraEpv00", "vb(y)", status);
+ vvd(pvb[1][2], -0.5404773180966231279e-2, 1e-15,
+ "eraEpv00", "vb(z)", status);
+
+ viv(j, 0, "eraEpv00", "j", status);
+
+}
+
+static void t_eqec06(int *status)
+/*
+** - - - - - - - - -
+** t _ e q e c 0 6
+** - - - - - - - - -
+**
+** Test eraEqec06 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEqec06, vvd
+**
+** This revision: 2016 March 12
+*/
+{
+ double date1, date2, dr, dd, dl, db;
+
+
+ date1 = 1234.5;
+ date2 = 2440000.5;
+ dr = 1.234;
+ dd = 0.987;
+
+ eraEqec06(date1, date2, dr, dd, &dl, &db);
+
+ vvd(dl, 1.342509918994654619, 1e-14, "eraEqec06", "dl", status);
+ vvd(db, 0.5926215259704608132, 1e-14, "eraEqec06", "db", status);
+
+}
+
+static void t_eqeq94(int *status)
+/*
+** - - - - - - - - -
+** t _ e q e q 9 4
+** - - - - - - - - -
+**
+** Test eraEqeq94 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEqeq94, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double eqeq;
+
+
+ eqeq = eraEqeq94(2400000.5, 41234.0);
+
+ vvd(eqeq, 0.5357758254609256894e-4, 1e-17, "eraEqeq94", "", status);
+
+}
+
+static void t_era00(int *status)
+/*
+** - - - - - - - -
+** t _ e r a 0 0
+** - - - - - - - -
+**
+** Test eraEra00 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraEra00, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double era00;
+
+
+ era00 = eraEra00(2400000.5, 54388.0);
+
+ vvd(era00, 0.4022837240028158102, 1e-12, "eraEra00", "", status);
+
+}
+
+static void t_fad03(int *status)
+/*
+** - - - - - - - -
+** t _ f a d 0 3
+** - - - - - - - -
+**
+** Test eraFad03 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFad03, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraFad03(0.80), 1.946709205396925672, 1e-12,
+ "eraFad03", "", status);
+}
+
+static void t_fae03(int *status)
+/*
+** - - - - - - - -
+** t _ f a e 0 3
+** - - - - - - - -
+**
+** Test eraFae03 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFae03, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraFae03(0.80), 1.744713738913081846, 1e-12,
+ "eraFae03", "", status);
+}
+
+static void t_faf03(int *status)
+/*
+** - - - - - - - -
+** t _ f a f 0 3
+** - - - - - - - -
+**
+** Test eraFaf03 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFaf03, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraFaf03(0.80), 0.2597711366745499518, 1e-12,
+ "eraFaf03", "", status);
+}
+
+static void t_faju03(int *status)
+/*
+** - - - - - - - - -
+** t _ f a j u 0 3
+** - - - - - - - - -
+**
+** Test eraFaju03 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFaju03, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraFaju03(0.80), 5.275711665202481138, 1e-12,
+ "eraFaju03", "", status);
+}
+
+static void t_fal03(int *status)
+/*
+** - - - - - - - -
+** t _ f a l 0 3
+** - - - - - - - -
+**
+** Test eraFal03 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFal03, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraFal03(0.80), 5.132369751108684150, 1e-12,
+ "eraFal03", "", status);
+}
+
+static void t_falp03(int *status)
+/*
+** - - - - - - - - -
+** t _ f a l p 0 3
+** - - - - - - - - -
+**
+** Test eraFalp03 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFalp03, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraFalp03(0.80), 6.226797973505507345, 1e-12,
+ "eraFalp03", "", status);
+}
+
+static void t_fama03(int *status)
+/*
+** - - - - - - - - -
+** t _ f a m a 0 3
+** - - - - - - - - -
+**
+** Test eraFama03 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFama03, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraFama03(0.80), 3.275506840277781492, 1e-12,
+ "eraFama03", "", status);
+}
+
+static void t_fame03(int *status)
+/*
+** - - - - - - - - -
+** t _ f a m e 0 3
+** - - - - - - - - -
+**
+** Test eraFame03 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFame03, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraFame03(0.80), 5.417338184297289661, 1e-12,
+ "eraFame03", "", status);
+}
+
+static void t_fane03(int *status)
+/*
+** - - - - - - - - -
+** t _ f a n e 0 3
+** - - - - - - - - -
+**
+** Test eraFane03 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFane03, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraFane03(0.80), 2.079343830860413523, 1e-12,
+ "eraFane03", "", status);
+}
+
+static void t_faom03(int *status)
+/*
+** - - - - - - - - -
+** t _ f a o m 0 3
+** - - - - - - - - -
+**
+** Test eraFaom03 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFaom03, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraFaom03(0.80), -5.973618440951302183, 1e-12,
+ "eraFaom03", "", status);
+}
+
+static void t_fapa03(int *status)
+/*
+** - - - - - - - - -
+** t _ f a p a 0 3
+** - - - - - - - - -
+**
+** Test eraFapa03 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFapa03, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraFapa03(0.80), 0.1950884762240000000e-1, 1e-12,
+ "eraFapa03", "", status);
+}
+
+static void t_fasa03(int *status)
+/*
+** - - - - - - - - -
+** t _ f a s a 0 3
+** - - - - - - - - -
+**
+** Test eraFasa03 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFasa03, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraFasa03(0.80), 5.371574539440827046, 1e-12,
+ "eraFasa03", "", status);
+}
+
+static void t_faur03(int *status)
+/*
+** - - - - - - - - -
+** t _ f a u r 0 3
+** - - - - - - - - -
+**
+** Test eraFaur03 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFaur03, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraFaur03(0.80), 5.180636450180413523, 1e-12,
+ "eraFaur03", "", status);
+}
+
+static void t_fave03(int *status)
+/*
+** - - - - - - - - -
+** t _ f a v e 0 3
+** - - - - - - - - -
+**
+** Test eraFave03 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFave03, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraFave03(0.80), 3.424900460533758000, 1e-12,
+ "eraFave03", "", status);
+}
+
+static void t_fk425(int *status)
+/*
+** - - - - - - - -
+** t _ f k 4 2 5
+** - - - - - - - -
+**
+** Test eraFk425 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFk425, vvd
+**
+** This revision: 2018 December 6
+*/
+{
+ double r1950, d1950, dr1950, dd1950, p1950, v1950,
+ r2000, d2000, dr2000, dd2000, p2000, v2000;
+
+
+ r1950 = 0.07626899753879587532;
+ d1950 = -1.137405378399605780;
+ dr1950 = 0.1973749217849087460e-4;
+ dd1950 = 0.5659714913272723189e-5;
+ p1950 = 0.134;
+ v1950 = 8.7;
+
+ eraFk425(r1950, d1950, dr1950, dd1950, p1950, v1950,
+ &r2000, &d2000, &dr2000, &dd2000, &p2000, &v2000);
+
+ vvd(r2000, 0.08757989933556446040, 1e-14,
+ "eraFk425", "r2000", status);
+ vvd(d2000, -1.132279113042091895, 1e-12,
+ "eraFk425", "d2000", status);
+ vvd(dr2000, 0.1953670614474396139e-4, 1e-17,
+ "eraFk425", "dr2000", status);
+ vvd(dd2000, 0.5637686678659640164e-5, 1e-18,
+ "eraFk425", "dd2000", status);
+ vvd(p2000, 0.1339919950582767871, 1e-13, "eraFk425", "p2000", status);
+ vvd(v2000, 8.736999669183529069, 1e-12, "eraFk425", "v2000", status);
+
+}
+
+static void t_fk45z(int *status)
+/*
+** - - - - - - - -
+** t _ f k 4 5 z
+** - - - - - - - -
+**
+** Test eraFk45z function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFk45z, vvd
+**
+** This revision: 2018 December 6
+*/
+{
+ double r1950, d1950, bepoch, r2000, d2000;
+
+
+ r1950 = 0.01602284975382960982;
+ d1950 = -0.1164347929099906024;
+ bepoch = 1954.677617625256806;
+
+ eraFk45z(r1950, d1950, bepoch, &r2000, &d2000);
+
+ vvd(r2000, 0.02719295911606862303, 1e-15,
+ "eraFk45z", "r2000", status);
+ vvd(d2000, -0.1115766001565926892, 1e-13,
+ "eraFk45z", "d2000", status);
+
+}
+
+static void t_fk524(int *status)
+/*
+** - - - - - - - -
+** t _ f k 5 2 4
+** - - - - - - - -
+**
+** Test eraFk524 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFk524, vvd
+**
+** This revision: 2018 December 6
+*/
+{
+ double r2000, d2000, dr2000, dd2000, p2000, v2000,
+ r1950, d1950, dr1950, dd1950, p1950, v1950;
+
+
+ r2000 = 0.8723503576487275595;
+ d2000 = -0.7517076365138887672;
+ dr2000 = 0.2019447755430472323e-4;
+ dd2000 = 0.3541563940505160433e-5;
+ p2000 = 0.1559;
+ v2000 = 86.87;
+
+ eraFk524(r2000, d2000, dr2000, dd2000, p2000, v2000,
+ &r1950, &d1950, &dr1950,&dd1950, &p1950, &v1950);
+
+ vvd(r1950, 0.8636359659799603487, 1e-13,
+ "eraFk524", "r1950", status);
+ vvd(d1950, -0.7550281733160843059, 1e-13,
+ "eraFk524", "d1950", status);
+ vvd(dr1950, 0.2023628192747172486e-4, 1e-17,
+ "eraFk524", "dr1950", status);
+ vvd(dd1950, 0.3624459754935334718e-5, 1e-18,
+ "eraFk524", "dd1950", status);
+ vvd(p1950, 0.1560079963299390241, 1e-13,
+ "eraFk524", "p1950", status);
+ vvd(v1950, 86.79606353469163751, 1e-11, "eraFk524", "v1950", status);
+
+}
+
+static void t_fk52h(int *status)
+/*
+** - - - - - - - -
+** t _ f k 5 2 h
+** - - - - - - - -
+**
+** Test eraFk52h function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFk52h, vvd
+**
+** This revision: 2021 January 5
+*/
+{
+ double r5, d5, dr5, dd5, px5, rv5, rh, dh, drh, ddh, pxh, rvh;
+
+
+ r5 = 1.76779433;
+ d5 = -0.2917517103;
+ dr5 = -1.91851572e-7;
+ dd5 = -5.8468475e-6;
+ px5 = 0.379210;
+ rv5 = -7.6;
+
+ eraFk52h(r5, d5, dr5, dd5, px5, rv5,
+ &rh, &dh, &drh, &ddh, &pxh, &rvh);
+
+ vvd(rh, 1.767794226299947632, 1e-14,
+ "eraFk52h", "ra", status);
+ vvd(dh, -0.2917516070530391757, 1e-14,
+ "eraFk52h", "dec", status);
+ vvd(drh, -0.1961874125605721270e-6,1e-19,
+ "eraFk52h", "dr5", status);
+ vvd(ddh, -0.58459905176693911e-5, 1e-19,
+ "eraFk52h", "dd5", status);
+ vvd(pxh, 0.37921, 1e-14,
+ "eraFk52h", "px", status);
+ vvd(rvh, -7.6000000940000254, 1e-11,
+ "eraFk52h", "rv", status);
+
+}
+
+static void t_fk54z(int *status)
+/*
+** - - - - - - - -
+** t _ f k 5 4 z
+** - - - - - - - -
+**
+** Test eraFk54z function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFk54z, vvd
+**
+** This revision: 2018 December 6
+*/
+{
+ double r2000, d2000, bepoch, r1950, d1950, dr1950, dd1950;
+
+
+ r2000 = 0.02719026625066316119;
+ d2000 = -0.1115815170738754813;
+ bepoch = 1954.677308160316374;
+
+ eraFk54z(r2000, d2000, bepoch, &r1950, &d1950, &dr1950, &dd1950);
+
+ vvd(r1950, 0.01602015588390065476, 1e-14,
+ "eraFk54z", "r1950", status);
+ vvd(d1950, -0.1164397101110765346, 1e-13,
+ "eraFk54z", "d1950", status);
+ vvd(dr1950, -0.1175712648471090704e-7, 1e-20,
+ "eraFk54z", "dr1950", status);
+ vvd(dd1950, 0.2108109051316431056e-7, 1e-20,
+ "eraFk54z", "dd1950", status);
+
+}
+
+static void t_fk5hip(int *status)
+/*
+** - - - - - - - - -
+** t _ f k 5 h i p
+** - - - - - - - - -
+**
+** Test eraFk5hip function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFk5hip, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double r5h[3][3], s5h[3];
+
+
+ eraFk5hip(r5h, s5h);
+
+ vvd(r5h[0][0], 0.9999999999999928638, 1e-14,
+ "eraFk5hip", "11", status);
+ vvd(r5h[0][1], 0.1110223351022919694e-6, 1e-17,
+ "eraFk5hip", "12", status);
+ vvd(r5h[0][2], 0.4411803962536558154e-7, 1e-17,
+ "eraFk5hip", "13", status);
+ vvd(r5h[1][0], -0.1110223308458746430e-6, 1e-17,
+ "eraFk5hip", "21", status);
+ vvd(r5h[1][1], 0.9999999999999891830, 1e-14,
+ "eraFk5hip", "22", status);
+ vvd(r5h[1][2], -0.9647792498984142358e-7, 1e-17,
+ "eraFk5hip", "23", status);
+ vvd(r5h[2][0], -0.4411805033656962252e-7, 1e-17,
+ "eraFk5hip", "31", status);
+ vvd(r5h[2][1], 0.9647792009175314354e-7, 1e-17,
+ "eraFk5hip", "32", status);
+ vvd(r5h[2][2], 0.9999999999999943728, 1e-14,
+ "eraFk5hip", "33", status);
+ vvd(s5h[0], -0.1454441043328607981e-8, 1e-17,
+ "eraFk5hip", "s1", status);
+ vvd(s5h[1], 0.2908882086657215962e-8, 1e-17,
+ "eraFk5hip", "s2", status);
+ vvd(s5h[2], 0.3393695767766751955e-8, 1e-17,
+ "eraFk5hip", "s3", status);
+
+}
+
+static void t_fk5hz(int *status)
+/*
+** - - - - - - - -
+** t _ f k 5 h z
+** - - - - - - - -
+**
+** Test eraFk5hz function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFk5hz, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double r5, d5, rh, dh;
+
+
+ r5 = 1.76779433;
+ d5 = -0.2917517103;
+
+ eraFk5hz(r5, d5, 2400000.5, 54479.0, &rh, &dh);
+
+ vvd(rh, 1.767794191464423978, 1e-12, "eraFk5hz", "ra", status);
+ vvd(dh, -0.2917516001679884419, 1e-12, "eraFk5hz", "dec", status);
+
+}
+
+static void t_fw2m(int *status)
+/*
+** - - - - - - -
+** t _ f w 2 m
+** - - - - - - -
+**
+** Test eraFw2m function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFw2m, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double gamb, phib, psi, eps, r[3][3];
+
+
+ gamb = -0.2243387670997992368e-5;
+ phib = 0.4091014602391312982;
+ psi = -0.9501954178013015092e-3;
+ eps = 0.4091014316587367472;
+
+ eraFw2m(gamb, phib, psi, eps, r);
+
+ vvd(r[0][0], 0.9999995505176007047, 1e-12,
+ "eraFw2m", "11", status);
+ vvd(r[0][1], 0.8695404617348192957e-3, 1e-12,
+ "eraFw2m", "12", status);
+ vvd(r[0][2], 0.3779735201865582571e-3, 1e-12,
+ "eraFw2m", "13", status);
+
+ vvd(r[1][0], -0.8695404723772016038e-3, 1e-12,
+ "eraFw2m", "21", status);
+ vvd(r[1][1], 0.9999996219496027161, 1e-12,
+ "eraFw2m", "22", status);
+ vvd(r[1][2], -0.1361752496887100026e-6, 1e-12,
+ "eraFw2m", "23", status);
+
+ vvd(r[2][0], -0.3779734957034082790e-3, 1e-12,
+ "eraFw2m", "31", status);
+ vvd(r[2][1], -0.1924880848087615651e-6, 1e-12,
+ "eraFw2m", "32", status);
+ vvd(r[2][2], 0.9999999285679971958, 1e-12,
+ "eraFw2m", "33", status);
+
+}
+
+static void t_fw2xy(int *status)
+/*
+** - - - - - - - -
+** t _ f w 2 x y
+** - - - - - - - -
+**
+** Test eraFw2xy function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraFw2xy, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double gamb, phib, psi, eps, x, y;
+
+
+ gamb = -0.2243387670997992368e-5;
+ phib = 0.4091014602391312982;
+ psi = -0.9501954178013015092e-3;
+ eps = 0.4091014316587367472;
+
+ eraFw2xy(gamb, phib, psi, eps, &x, &y);
+
+ vvd(x, -0.3779734957034082790e-3, 1e-14, "eraFw2xy", "x", status);
+ vvd(y, -0.1924880848087615651e-6, 1e-14, "eraFw2xy", "y", status);
+
+}
+
+static void t_g2icrs(int *status)
+/*
+** - - - - - - - - -
+** t _ g 2 i c r s
+** - - - - - - - - -
+**
+** Test eraG2icrs function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraG2icrs, vvd
+**
+** This revision: 2015 January 30
+*/
+{
+ double dl, db, dr, dd;
+
+
+ dl = 5.5850536063818546461558105;
+ db = -0.7853981633974483096156608;
+ eraG2icrs (dl, db, &dr, &dd);
+ vvd(dr, 5.9338074302227188048671, 1e-14, "eraG2icrs", "R", status);
+ vvd(dd, -1.1784870613579944551541, 1e-14, "eraG2icrs", "D", status);
+ }
+
+static void t_gc2gd(int *status)
+/*
+** - - - - - - - -
+** t _ g c 2 g d
+** - - - - - - - -
+**
+** Test eraGc2gd function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraGc2gd, viv, vvd
+**
+** This revision: 2016 March 12
+*/
+{
+ int j;
+ double xyz[] = {2e6, 3e6, 5.244e6};
+ double e, p, h;
+
+ j = eraGc2gd(0, xyz, &e, &p, &h);
+
+ viv(j, -1, "eraGc2gd", "j0", status);
+
+ j = eraGc2gd(ERFA_WGS84, xyz, &e, &p, &h);
+
+ viv(j, 0, "eraGc2gd", "j1", status);
+ vvd(e, 0.9827937232473290680, 1e-14, "eraGc2gd", "e1", status);
+ vvd(p, 0.97160184819075459, 1e-14, "eraGc2gd", "p1", status);
+ vvd(h, 331.4172461426059892, 1e-8, "eraGc2gd", "h1", status);
+
+ j = eraGc2gd(ERFA_GRS80, xyz, &e, &p, &h);
+
+ viv(j, 0, "eraGc2gd", "j2", status);
+ vvd(e, 0.9827937232473290680, 1e-14, "eraGc2gd", "e2", status);
+ vvd(p, 0.97160184820607853, 1e-14, "eraGc2gd", "p2", status);
+ vvd(h, 331.41731754844348, 1e-8, "eraGc2gd", "h2", status);
+
+ j = eraGc2gd(ERFA_WGS72, xyz, &e, &p, &h);
+
+ viv(j, 0, "eraGc2gd", "j3", status);
+ vvd(e, 0.9827937232473290680, 1e-14, "eraGc2gd", "e3", status);
+ vvd(p, 0.9716018181101511937, 1e-14, "eraGc2gd", "p3", status);
+ vvd(h, 333.2770726130318123, 1e-8, "eraGc2gd", "h3", status);
+
+ j = eraGc2gd(4, xyz, &e, &p, &h);
+
+ viv(j, -1, "eraGc2gd", "j4", status);
+}
+
+static void t_gc2gde(int *status)
+/*
+** - - - - - - - - -
+** t _ g c 2 g d e
+** - - - - - - - - -
+**
+** Test eraGc2gde function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraGc2gde, viv, vvd
+**
+** This revision: 2016 March 12
+*/
+{
+ int j;
+ double a = 6378136.0, f = 0.0033528;
+ double xyz[] = {2e6, 3e6, 5.244e6};
+ double e, p, h;
+
+ j = eraGc2gde(a, f, xyz, &e, &p, &h);
+
+ viv(j, 0, "eraGc2gde", "j", status);
+ vvd(e, 0.9827937232473290680, 1e-14, "eraGc2gde", "e", status);
+ vvd(p, 0.9716018377570411532, 1e-14, "eraGc2gde", "p", status);
+ vvd(h, 332.36862495764397, 1e-8, "eraGc2gde", "h", status);
+}
+
+static void t_gd2gc(int *status)
+/*
+** - - - - - - - -
+** t _ g d 2 g c
+** - - - - - - - -
+**
+** Test eraGd2gc function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraGd2gc, viv, vvd
+**
+** This revision: 2016 March 12
+*/
+{
+ int j;
+ double e = 3.1, p = -0.5, h = 2500.0;
+ double xyz[3];
+
+ j = eraGd2gc(0, e, p, h, xyz);
+
+ viv(j, -1, "eraGd2gc", "j0", status);
+
+ j = eraGd2gc(ERFA_WGS84, e, p, h, xyz);
+
+ viv(j, 0, "eraGd2gc", "j1", status);
+ vvd(xyz[0], -5599000.5577049947, 1e-7, "eraGd2gc", "1/1", status);
+ vvd(xyz[1], 233011.67223479203, 1e-7, "eraGd2gc", "2/1", status);
+ vvd(xyz[2], -3040909.4706983363, 1e-7, "eraGd2gc", "3/1", status);
+
+ j = eraGd2gc(ERFA_GRS80, e, p, h, xyz);
+
+ viv(j, 0, "eraGd2gc", "j2", status);
+ vvd(xyz[0], -5599000.5577260984, 1e-7, "eraGd2gc", "1/2", status);
+ vvd(xyz[1], 233011.6722356702949, 1e-7, "eraGd2gc", "2/2", status);
+ vvd(xyz[2], -3040909.4706095476, 1e-7, "eraGd2gc", "3/2", status);
+
+ j = eraGd2gc(ERFA_WGS72, e, p, h, xyz);
+
+ viv(j, 0, "eraGd2gc", "j3", status);
+ vvd(xyz[0], -5598998.7626301490, 1e-7, "eraGd2gc", "1/3", status);
+ vvd(xyz[1], 233011.5975297822211, 1e-7, "eraGd2gc", "2/3", status);
+ vvd(xyz[2], -3040908.6861467111, 1e-7, "eraGd2gc", "3/3", status);
+
+ j = eraGd2gc(4, e, p, h, xyz);
+
+ viv(j, -1, "eraGd2gc", "j4", status);
+}
+
+static void t_gd2gce(int *status)
+/*
+** - - - - - - - - -
+** t _ g d 2 g c e
+** - - - - - - - - -
+**
+** Test eraGd2gce function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraGd2gce, viv, vvd
+**
+** This revision: 2016 March 12
+*/
+{
+ int j;
+ double a = 6378136.0, f = 0.0033528;
+ double e = 3.1, p = -0.5, h = 2500.0;
+ double xyz[3];
+
+ j = eraGd2gce(a, f, e, p, h, xyz);
+
+ viv(j, 0, "eraGd2gce", "j", status);
+ vvd(xyz[0], -5598999.6665116328, 1e-7, "eraGd2gce", "1", status);
+ vvd(xyz[1], 233011.6351463057189, 1e-7, "eraGd2gce", "2", status);
+ vvd(xyz[2], -3040909.0517314132, 1e-7, "eraGd2gce", "3", status);
+}
+
+static void t_gmst00(int *status)
+/*
+** - - - - - - - - -
+** t _ g m s t 0 0
+** - - - - - - - - -
+**
+** Test eraGmst00 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraGmst00, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double theta;
+
+
+ theta = eraGmst00(2400000.5, 53736.0, 2400000.5, 53736.0);
+
+ vvd(theta, 1.754174972210740592, 1e-12, "eraGmst00", "", status);
+
+}
+
+static void t_gmst06(int *status)
+/*
+** - - - - - - - - -
+** t _ g m s t 0 6
+** - - - - - - - - -
+**
+** Test eraGmst06 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraGmst06, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double theta;
+
+
+ theta = eraGmst06(2400000.5, 53736.0, 2400000.5, 53736.0);
+
+ vvd(theta, 1.754174971870091203, 1e-12, "eraGmst06", "", status);
+
+}
+
+static void t_gmst82(int *status)
+/*
+** - - - - - - - - -
+** t _ g m s t 8 2
+** - - - - - - - - -
+**
+** Test eraGmst82 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraGmst82, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double theta;
+
+
+ theta = eraGmst82(2400000.5, 53736.0);
+
+ vvd(theta, 1.754174981860675096, 1e-12, "eraGmst82", "", status);
+
+}
+
+static void t_gst00a(int *status)
+/*
+** - - - - - - - - -
+** t _ g s t 0 0 a
+** - - - - - - - - -
+**
+** Test eraGst00a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraGst00a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double theta;
+
+
+ theta = eraGst00a(2400000.5, 53736.0, 2400000.5, 53736.0);
+
+ vvd(theta, 1.754166138018281369, 1e-12, "eraGst00a", "", status);
+
+}
+
+static void t_gst00b(int *status)
+/*
+** - - - - - - - - -
+** t _ g s t 0 0 b
+** - - - - - - - - -
+**
+** Test eraGst00b function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraGst00b, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double theta;
+
+
+ theta = eraGst00b(2400000.5, 53736.0);
+
+ vvd(theta, 1.754166136510680589, 1e-12, "eraGst00b", "", status);
+
+}
+
+static void t_gst06(int *status)
+/*
+** - - - - - - - -
+** t _ g s t 0 6
+** - - - - - - - -
+**
+** Test eraGst06 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraGst06, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rnpb[3][3], theta;
+
+
+ rnpb[0][0] = 0.9999989440476103608;
+ rnpb[0][1] = -0.1332881761240011518e-2;
+ rnpb[0][2] = -0.5790767434730085097e-3;
+
+ rnpb[1][0] = 0.1332858254308954453e-2;
+ rnpb[1][1] = 0.9999991109044505944;
+ rnpb[1][2] = -0.4097782710401555759e-4;
+
+ rnpb[2][0] = 0.5791308472168153320e-3;
+ rnpb[2][1] = 0.4020595661593994396e-4;
+ rnpb[2][2] = 0.9999998314954572365;
+
+ theta = eraGst06(2400000.5, 53736.0, 2400000.5, 53736.0, rnpb);
+
+ vvd(theta, 1.754166138018167568, 1e-12, "eraGst06", "", status);
+
+}
+
+static void t_gst06a(int *status)
+/*
+** - - - - - - - - -
+** t _ g s t 0 6 a
+** - - - - - - - - -
+**
+** Test eraGst06a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraGst06a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double theta;
+
+
+ theta = eraGst06a(2400000.5, 53736.0, 2400000.5, 53736.0);
+
+ vvd(theta, 1.754166137675019159, 1e-12, "eraGst06a", "", status);
+
+}
+
+static void t_gst94(int *status)
+/*
+** - - - - - - - -
+** t _ g s t 9 4
+** - - - - - - - -
+**
+** Test eraGst94 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraGst94, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double theta;
+
+
+ theta = eraGst94(2400000.5, 53736.0);
+
+ vvd(theta, 1.754166136020645203, 1e-12, "eraGst94", "", status);
+
+}
+
+static void t_icrs2g(int *status)
+/*
+** - - - - - - - - -
+** t _ i c r s 2 g
+** - - - - - - - - -
+**
+** Test eraIcrs2g function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraIcrs2g, vvd
+**
+** This revision: 2015 January 30
+*/
+{
+ double dr, dd, dl, db;
+
+ dr = 5.9338074302227188048671087;
+ dd = -1.1784870613579944551540570;
+ eraIcrs2g (dr, dd, &dl, &db);
+ vvd(dl, 5.5850536063818546461558, 1e-14, "eraIcrs2g", "L", status);
+ vvd(db, -0.7853981633974483096157, 1e-14, "eraIcrs2g", "B", status);
+ }
+
+static void t_h2fk5(int *status)
+/*
+** - - - - - - - -
+** t _ h 2 f k 5
+** - - - - - - - -
+**
+** Test eraH2fk5 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraH2fk5, vvd
+**
+** This revision: 2017 January 3
+*/
+{
+ double rh, dh, drh, ddh, pxh, rvh, r5, d5, dr5, dd5, px5, rv5;
+
+
+ rh = 1.767794352;
+ dh = -0.2917512594;
+ drh = -2.76413026e-6;
+ ddh = -5.92994449e-6;
+ pxh = 0.379210;
+ rvh = -7.6;
+
+ eraH2fk5(rh, dh, drh, ddh, pxh, rvh,
+ &r5, &d5, &dr5, &dd5, &px5, &rv5);
+
+ vvd(r5, 1.767794455700065506, 1e-13,
+ "eraH2fk5", "ra", status);
+ vvd(d5, -0.2917513626469638890, 1e-13,
+ "eraH2fk5", "dec", status);
+ vvd(dr5, -0.27597945024511204e-5, 1e-18,
+ "eraH2fk5", "dr5", status);
+ vvd(dd5, -0.59308014093262838e-5, 1e-18,
+ "eraH2fk5", "dd5", status);
+ vvd(px5, 0.37921, 1e-13,
+ "eraH2fk5", "px", status);
+ vvd(rv5, -7.6000001309071126, 1e-11,
+ "eraH2fk5", "rv", status);
+
+}
+
+static void t_hd2ae(int *status)
+/*
+** - - - - - - - -
+** t _ h d 2 a e
+** - - - - - - - -
+**
+** Test eraHd2ae function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraHd2ae and vvd
+**
+** This revision: 2017 October 21
+*/
+{
+ double h, d, p, a, e;
+
+
+ h = 1.1;
+ d = 1.2;
+ p = 0.3;
+
+ eraHd2ae(h, d, p, &a, &e);
+
+ vvd(a, 5.916889243730066194, 1e-13, "eraHd2ae", "a", status);
+ vvd(e, 0.4472186304990486228, 1e-14, "eraHd2ae", "e", status);
+
+}
+
+static void t_hd2pa(int *status)
+/*
+** - - - - - - - -
+** t _ h d 2 p a
+** - - - - - - - -
+**
+** Test eraHd2pa function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraHd2pa and vvd
+**
+** This revision: 2017 October 21
+*/
+{
+ double h, d, p, q;
+
+
+ h = 1.1;
+ d = 1.2;
+ p = 0.3;
+
+ q = eraHd2pa(h, d, p);
+
+ vvd(q, 1.906227428001995580, 1e-13, "eraHd2pa", "q", status);
+
+}
+
+static void t_hfk5z(int *status)
+/*
+** - - - - - - - -
+** t _ h f k 5 z
+** - - - - - - - -
+**
+** Test eraHfk5z function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraHfk5z, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rh, dh, r5, d5, dr5, dd5;
+
+
+
+ rh = 1.767794352;
+ dh = -0.2917512594;
+
+ eraHfk5z(rh, dh, 2400000.5, 54479.0, &r5, &d5, &dr5, &dd5);
+
+ vvd(r5, 1.767794490535581026, 1e-13,
+ "eraHfk5z", "ra", status);
+ vvd(d5, -0.2917513695320114258, 1e-14,
+ "eraHfk5z", "dec", status);
+ vvd(dr5, 0.4335890983539243029e-8, 1e-22,
+ "eraHfk5z", "dr5", status);
+ vvd(dd5, -0.8569648841237745902e-9, 1e-23,
+ "eraHfk5z", "dd5", status);
+
+}
+
+static void t_ir(int *status)
+/*
+** - - - - -
+** t _ i r
+** - - - - -
+**
+** Test eraIr function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraIr, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double r[3][3];
+
+
+ r[0][0] = 2.0;
+ r[0][1] = 3.0;
+ r[0][2] = 2.0;
+
+ r[1][0] = 3.0;
+ r[1][1] = 2.0;
+ r[1][2] = 3.0;
+
+ r[2][0] = 3.0;
+ r[2][1] = 4.0;
+ r[2][2] = 5.0;
+
+ eraIr(r);
+
+ vvd(r[0][0], 1.0, 0.0, "eraIr", "11", status);
+ vvd(r[0][1], 0.0, 0.0, "eraIr", "12", status);
+ vvd(r[0][2], 0.0, 0.0, "eraIr", "13", status);
+
+ vvd(r[1][0], 0.0, 0.0, "eraIr", "21", status);
+ vvd(r[1][1], 1.0, 0.0, "eraIr", "22", status);
+ vvd(r[1][2], 0.0, 0.0, "eraIr", "23", status);
+
+ vvd(r[2][0], 0.0, 0.0, "eraIr", "31", status);
+ vvd(r[2][1], 0.0, 0.0, "eraIr", "32", status);
+ vvd(r[2][2], 1.0, 0.0, "eraIr", "33", status);
+
+}
+
+static void t_jd2cal(int *status)
+/*
+** - - - - - - - - -
+** t _ j d 2 c a l
+** - - - - - - - - -
+**
+** Test eraJd2cal function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraJd2cal, viv, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double dj1, dj2, fd;
+ int iy, im, id, j;
+
+
+ dj1 = 2400000.5;
+ dj2 = 50123.9999;
+
+ j = eraJd2cal(dj1, dj2, &iy, &im, &id, &fd);
+
+ viv(iy, 1996, "eraJd2cal", "y", status);
+ viv(im, 2, "eraJd2cal", "m", status);
+ viv(id, 10, "eraJd2cal", "d", status);
+ vvd(fd, 0.9999, 1e-7, "eraJd2cal", "fd", status);
+ viv(j, 0, "eraJd2cal", "j", status);
+
+}
+
+static void t_jdcalf(int *status)
+/*
+** - - - - - - - - -
+** t _ j d c a l f
+** - - - - - - - - -
+**
+** Test eraJdcalf function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraJdcalf, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double dj1, dj2;
+ int iydmf[4], j;
+
+
+ dj1 = 2400000.5;
+ dj2 = 50123.9999;
+
+ j = eraJdcalf(4, dj1, dj2, iydmf);
+
+ viv(iydmf[0], 1996, "eraJdcalf", "y", status);
+ viv(iydmf[1], 2, "eraJdcalf", "m", status);
+ viv(iydmf[2], 10, "eraJdcalf", "d", status);
+ viv(iydmf[3], 9999, "eraJdcalf", "f", status);
+
+ viv(j, 0, "eraJdcalf", "j", status);
+
+}
+
+static void t_ld(int *status)
+/*
+** - - - - -
+** t _ l d
+** - - - - -
+**
+** Test eraLd function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraLd, vvd
+*
+** This revision: 2013 October 2
+*/
+{
+ double bm, p[3], q[3], e[3], em, dlim, p1[3];
+
+
+ bm = 0.00028574;
+ p[0] = -0.763276255;
+ p[1] = -0.608633767;
+ p[2] = -0.216735543;
+ q[0] = -0.763276255;
+ q[1] = -0.608633767;
+ q[2] = -0.216735543;
+ e[0] = 0.76700421;
+ e[1] = 0.605629598;
+ e[2] = 0.211937094;
+ em = 8.91276983;
+ dlim = 3e-10;
+
+ eraLd(bm, p, q, e, em, dlim, p1);
+
+ vvd(p1[0], -0.7632762548968159627, 1e-12,
+ "eraLd", "1", status);
+ vvd(p1[1], -0.6086337670823762701, 1e-12,
+ "eraLd", "2", status);
+ vvd(p1[2], -0.2167355431320546947, 1e-12,
+ "eraLd", "3", status);
+
+}
+
+static void t_ldn(int *status)
+/*
+** - - - - - -
+** t _ l d n
+** - - - - - -
+**
+** Test eraLdn function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraLdn, vvd
+**
+** This revision: 2013 October 2
+*/
+{
+ int n;
+ eraLDBODY b[3];
+ double ob[3], sc[3], sn[3];
+
+
+ n = 3;
+ b[0].bm = 0.00028574;
+ b[0].dl = 3e-10;
+ b[0].pv[0][0] = -7.81014427;
+ b[0].pv[0][1] = -5.60956681;
+ b[0].pv[0][2] = -1.98079819;
+ b[0].pv[1][0] = 0.0030723249;
+ b[0].pv[1][1] = -0.00406995477;
+ b[0].pv[1][2] = -0.00181335842;
+ b[1].bm = 0.00095435;
+ b[1].dl = 3e-9;
+ b[1].pv[0][0] = 0.738098796;
+ b[1].pv[0][1] = 4.63658692;
+ b[1].pv[0][2] = 1.9693136;
+ b[1].pv[1][0] = -0.00755816922;
+ b[1].pv[1][1] = 0.00126913722;
+ b[1].pv[1][2] = 0.000727999001;
+ b[2].bm = 1.0;
+ b[2].dl = 6e-6;
+ b[2].pv[0][0] = -0.000712174377;
+ b[2].pv[0][1] = -0.00230478303;
+ b[2].pv[0][2] = -0.00105865966;
+ b[2].pv[1][0] = 6.29235213e-6;
+ b[2].pv[1][1] = -3.30888387e-7;
+ b[2].pv[1][2] = -2.96486623e-7;
+ ob[0] = -0.974170437;
+ ob[1] = -0.2115201;
+ ob[2] = -0.0917583114;
+ sc[0] = -0.763276255;
+ sc[1] = -0.608633767;
+ sc[2] = -0.216735543;
+
+ eraLdn(n, b, ob, sc, sn);
+
+ vvd(sn[0], -0.7632762579693333866, 1e-12,
+ "eraLdn", "1", status);
+ vvd(sn[1], -0.6086337636093002660, 1e-12,
+ "eraLdn", "2", status);
+ vvd(sn[2], -0.2167355420646328159, 1e-12,
+ "eraLdn", "3", status);
+
+}
+
+static void t_ldsun(int *status)
+/*
+** - - - - - - - -
+** t _ l d s u n
+** - - - - - - - -
+**
+** Test eraLdsun function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraLdsun, vvd
+**
+** This revision: 2013 October 2
+*/
+{
+ double p[3], e[3], em, p1[3];
+
+
+ p[0] = -0.763276255;
+ p[1] = -0.608633767;
+ p[2] = -0.216735543;
+ e[0] = -0.973644023;
+ e[1] = -0.20925523;
+ e[2] = -0.0907169552;
+ em = 0.999809214;
+
+ eraLdsun(p, e, em, p1);
+
+ vvd(p1[0], -0.7632762580731413169, 1e-12,
+ "eraLdsun", "1", status);
+ vvd(p1[1], -0.6086337635262647900, 1e-12,
+ "eraLdsun", "2", status);
+ vvd(p1[2], -0.2167355419322321302, 1e-12,
+ "eraLdsun", "3", status);
+
+}
+
+static void t_lteceq(int *status)
+/*
+** - - - - - - - - -
+** t _ l t e c e q
+** - - - - - - - - -
+**
+** Test eraLteceq function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraLteceq, vvd
+**
+** This revision: 2016 March 12
+*/
+{
+ double epj, dl, db, dr, dd;
+
+
+ epj = 2500.0;
+ dl = 1.5;
+ db = 0.6;
+
+ eraLteceq(epj, dl, db, &dr, &dd);
+
+ vvd(dr, 1.275156021861921167, 1e-14, "eraLteceq", "dr", status);
+ vvd(dd, 0.9966573543519204791, 1e-14, "eraLteceq", "dd", status);
+
+}
+
+static void t_ltecm(int *status)
+/*
+** - - - - - - - -
+** t _ l t e c m
+** - - - - - - - -
+**
+** Test eraLtecm function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraLtecm, vvd
+**
+** This revision: 2016 March 12
+*/
+{
+ double epj, rm[3][3];
+
+
+ epj = -3000.0;
+
+ eraLtecm(epj, rm);
+
+ vvd(rm[0][0], 0.3564105644859788825, 1e-14,
+ "eraLtecm", "rm11", status);
+ vvd(rm[0][1], 0.8530575738617682284, 1e-14,
+ "eraLtecm", "rm12", status);
+ vvd(rm[0][2], 0.3811355207795060435, 1e-14,
+ "eraLtecm", "rm13", status);
+ vvd(rm[1][0], -0.9343283469640709942, 1e-14,
+ "eraLtecm", "rm21", status);
+ vvd(rm[1][1], 0.3247830597681745976, 1e-14,
+ "eraLtecm", "rm22", status);
+ vvd(rm[1][2], 0.1467872751535940865, 1e-14,
+ "eraLtecm", "rm23", status);
+ vvd(rm[2][0], 0.1431636191201167793e-2, 1e-14,
+ "eraLtecm", "rm31", status);
+ vvd(rm[2][1], -0.4084222566960599342, 1e-14,
+ "eraLtecm", "rm32", status);
+ vvd(rm[2][2], 0.9127919865189030899, 1e-14,
+ "eraLtecm", "rm33", status);
+
+}
+
+static void t_lteqec(int *status)
+/*
+** - - - - - - - - -
+** t _ l t e q e c
+** - - - - - - - - -
+**
+** Test eraLteqec function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraLteqec, vvd
+**
+** This revision: 2016 March 12
+*/
+{
+ double epj, dr, dd, dl, db;
+
+
+ epj = -1500.0;
+ dr = 1.234;
+ dd = 0.987;
+
+ eraLteqec(epj, dr, dd, &dl, &db);
+
+ vvd(dl, 0.5039483649047114859, 1e-14, "eraLteqec", "dl", status);
+ vvd(db, 0.5848534459726224882, 1e-14, "eraLteqec", "db", status);
+
+}
+
+static void t_ltp(int *status)
+/*
+** - - - - - -
+** t _ l t p
+** - - - - - -
+**
+** Test eraLtp function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraLtp, vvd
+**
+** This revision: 2016 March 12
+*/
+{
+ double epj, rp[3][3];
+
+
+ epj = 1666.666;
+
+ eraLtp(epj, rp);
+
+ vvd(rp[0][0], 0.9967044141159213819, 1e-14,
+ "eraLtp", "rp11", status);
+ vvd(rp[0][1], 0.7437801893193210840e-1, 1e-14,
+ "eraLtp", "rp12", status);
+ vvd(rp[0][2], 0.3237624409345603401e-1, 1e-14,
+ "eraLtp", "rp13", status);
+ vvd(rp[1][0], -0.7437802731819618167e-1, 1e-14,
+ "eraLtp", "rp21", status);
+ vvd(rp[1][1], 0.9972293894454533070, 1e-14,
+ "eraLtp", "rp22", status);
+ vvd(rp[1][2], -0.1205768842723593346e-2, 1e-14,
+ "eraLtp", "rp23", status);
+ vvd(rp[2][0], -0.3237622482766575399e-1, 1e-14,
+ "eraLtp", "rp31", status);
+ vvd(rp[2][1], -0.1206286039697609008e-2, 1e-14,
+ "eraLtp", "rp32", status);
+ vvd(rp[2][2], 0.9994750246704010914, 1e-14,
+ "eraLtp", "rp33", status);
+
+}
+
+static void t_ltpb(int *status)
+/*
+** - - - - - - -
+** t _ l t p b
+** - - - - - - -
+**
+** Test eraLtpb function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraLtpb, vvd
+**
+** This revision: 2016 March 12
+*/
+{
+ double epj, rpb[3][3];
+
+
+ epj = 1666.666;
+
+ eraLtpb(epj, rpb);
+
+ vvd(rpb[0][0], 0.9967044167723271851, 1e-14,
+ "eraLtpb", "rpb11", status);
+ vvd(rpb[0][1], 0.7437794731203340345e-1, 1e-14,
+ "eraLtpb", "rpb12", status);
+ vvd(rpb[0][2], 0.3237632684841625547e-1, 1e-14,
+ "eraLtpb", "rpb13", status);
+ vvd(rpb[1][0], -0.7437795663437177152e-1, 1e-14,
+ "eraLtpb", "rpb21", status);
+ vvd(rpb[1][1], 0.9972293947500013666, 1e-14,
+ "eraLtpb", "rpb22", status);
+ vvd(rpb[1][2], -0.1205741865911243235e-2, 1e-14,
+ "eraLtpb", "rpb23", status);
+ vvd(rpb[2][0], -0.3237630543224664992e-1, 1e-14,
+ "eraLtpb", "rpb31", status);
+ vvd(rpb[2][1], -0.1206316791076485295e-2, 1e-14,
+ "eraLtpb", "rpb32", status);
+ vvd(rpb[2][2], 0.9994750220222438819, 1e-14,
+ "eraLtpb", "rpb33", status);
+
+}
+
+static void t_ltpecl(int *status)
+/*
+** - - - - - - - - -
+** t _ l t p e c l
+** - - - - - - - - -
+**
+** Test eraLtpecl function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraLtpecl, vvd
+**
+** This revision: 2016 March 12
+*/
+{
+ double epj, vec[3];
+
+
+ epj = -1500.0;
+
+ eraLtpecl(epj, vec);
+
+ vvd(vec[0], 0.4768625676477096525e-3, 1e-14,
+ "eraLtpecl", "vec1", status);
+ vvd(vec[1], -0.4052259533091875112, 1e-14,
+ "eraLtpecl", "vec2", status);
+ vvd(vec[2], 0.9142164401096448012, 1e-14,
+ "eraLtpecl", "vec3", status);
+
+}
+
+static void t_ltpequ(int *status)
+/*
+** - - - - - - - - -
+** t _ l t p e q u
+** - - - - - - - - -
+**
+** Test eraLtpequ function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraLtpequ, vvd
+**
+** This revision: 2016 March 12
+*/
+{
+ double epj, veq[3];
+
+
+ epj = -2500.0;
+
+ eraLtpequ(epj, veq);
+
+ vvd(veq[0], -0.3586652560237326659, 1e-14,
+ "eraLtpequ", "veq1", status);
+ vvd(veq[1], -0.1996978910771128475, 1e-14,
+ "eraLtpequ", "veq2", status);
+ vvd(veq[2], 0.9118552442250819624, 1e-14,
+ "eraLtpequ", "veq3", status);
+
+}
+
+static void t_moon98(int *status)
+/*
+** - - - - - - - - -
+** t _ m o o n 9 8
+** - - - - - - - - -
+**
+** Test eraMoon98 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraMoon98, vvd, viv
+**
+** This revision: 2021 April 12
+*/
+{
+ double pv[2][3];
+
+
+ eraMoon98(2400000.5, 43999.9, pv);
+
+ vvd(pv[0][0], -0.2601295959971044180e-2, 1e-11,
+ "eraMoon98", "x 4", status);
+ vvd(pv[0][1], 0.6139750944302742189e-3, 1e-11,
+ "eraMoon98", "y 4", status);
+ vvd(pv[0][2], 0.2640794528229828909e-3, 1e-11,
+ "eraMoon98", "z 4", status);
+
+ vvd(pv[1][0], -0.1244321506649895021e-3, 1e-11,
+ "eraMoon98", "xd 4", status);
+ vvd(pv[1][1], -0.5219076942678119398e-3, 1e-11,
+ "eraMoon98", "yd 4", status);
+ vvd(pv[1][2], -0.1716132214378462047e-3, 1e-11,
+ "eraMoon98", "zd 4", status);
+
+}
+
+static void t_num00a(int *status)
+/*
+** - - - - - - - - -
+** t _ n u m 0 0 a
+** - - - - - - - - -
+**
+** Test eraNum00a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraNum00a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rmatn[3][3];
+
+
+ eraNum00a(2400000.5, 53736.0, rmatn);
+
+ vvd(rmatn[0][0], 0.9999999999536227949, 1e-12,
+ "eraNum00a", "11", status);
+ vvd(rmatn[0][1], 0.8836238544090873336e-5, 1e-12,
+ "eraNum00a", "12", status);
+ vvd(rmatn[0][2], 0.3830835237722400669e-5, 1e-12,
+ "eraNum00a", "13", status);
+
+ vvd(rmatn[1][0], -0.8836082880798569274e-5, 1e-12,
+ "eraNum00a", "21", status);
+ vvd(rmatn[1][1], 0.9999999991354655028, 1e-12,
+ "eraNum00a", "22", status);
+ vvd(rmatn[1][2], -0.4063240865362499850e-4, 1e-12,
+ "eraNum00a", "23", status);
+
+ vvd(rmatn[2][0], -0.3831194272065995866e-5, 1e-12,
+ "eraNum00a", "31", status);
+ vvd(rmatn[2][1], 0.4063237480216291775e-4, 1e-12,
+ "eraNum00a", "32", status);
+ vvd(rmatn[2][2], 0.9999999991671660338, 1e-12,
+ "eraNum00a", "33", status);
+
+}
+
+static void t_num00b(int *status)
+/*
+** - - - - - - - - -
+** t _ n u m 0 0 b
+** - - - - - - - - -
+**
+** Test eraNum00b function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraNum00b, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rmatn[3][3];
+
+ eraNum00b(2400000.5, 53736, rmatn);
+
+ vvd(rmatn[0][0], 0.9999999999536069682, 1e-12,
+ "eraNum00b", "11", status);
+ vvd(rmatn[0][1], 0.8837746144871248011e-5, 1e-12,
+ "eraNum00b", "12", status);
+ vvd(rmatn[0][2], 0.3831488838252202945e-5, 1e-12,
+ "eraNum00b", "13", status);
+
+ vvd(rmatn[1][0], -0.8837590456632304720e-5, 1e-12,
+ "eraNum00b", "21", status);
+ vvd(rmatn[1][1], 0.9999999991354692733, 1e-12,
+ "eraNum00b", "22", status);
+ vvd(rmatn[1][2], -0.4063198798559591654e-4, 1e-12,
+ "eraNum00b", "23", status);
+
+ vvd(rmatn[2][0], -0.3831847930134941271e-5, 1e-12,
+ "eraNum00b", "31", status);
+ vvd(rmatn[2][1], 0.4063195412258168380e-4, 1e-12,
+ "eraNum00b", "32", status);
+ vvd(rmatn[2][2], 0.9999999991671806225, 1e-12,
+ "eraNum00b", "33", status);
+
+}
+
+static void t_num06a(int *status)
+/*
+** - - - - - - - - -
+** t _ n u m 0 6 a
+** - - - - - - - - -
+**
+** Test eraNum06a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraNum06a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rmatn[3][3];
+
+ eraNum06a(2400000.5, 53736, rmatn);
+
+ vvd(rmatn[0][0], 0.9999999999536227668, 1e-12,
+ "eraNum06a", "11", status);
+ vvd(rmatn[0][1], 0.8836241998111535233e-5, 1e-12,
+ "eraNum06a", "12", status);
+ vvd(rmatn[0][2], 0.3830834608415287707e-5, 1e-12,
+ "eraNum06a", "13", status);
+
+ vvd(rmatn[1][0], -0.8836086334870740138e-5, 1e-12,
+ "eraNum06a", "21", status);
+ vvd(rmatn[1][1], 0.9999999991354657474, 1e-12,
+ "eraNum06a", "22", status);
+ vvd(rmatn[1][2], -0.4063240188248455065e-4, 1e-12,
+ "eraNum06a", "23", status);
+
+ vvd(rmatn[2][0], -0.3831193642839398128e-5, 1e-12,
+ "eraNum06a", "31", status);
+ vvd(rmatn[2][1], 0.4063236803101479770e-4, 1e-12,
+ "eraNum06a", "32", status);
+ vvd(rmatn[2][2], 0.9999999991671663114, 1e-12,
+ "eraNum06a", "33", status);
+
+}
+
+static void t_numat(int *status)
+/*
+** - - - - - - - -
+** t _ n u m a t
+** - - - - - - - -
+**
+** Test eraNumat function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraNumat, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double epsa, dpsi, deps, rmatn[3][3];
+
+
+ epsa = 0.4090789763356509900;
+ dpsi = -0.9630909107115582393e-5;
+ deps = 0.4063239174001678826e-4;
+
+ eraNumat(epsa, dpsi, deps, rmatn);
+
+ vvd(rmatn[0][0], 0.9999999999536227949, 1e-12,
+ "eraNumat", "11", status);
+ vvd(rmatn[0][1], 0.8836239320236250577e-5, 1e-12,
+ "eraNumat", "12", status);
+ vvd(rmatn[0][2], 0.3830833447458251908e-5, 1e-12,
+ "eraNumat", "13", status);
+
+ vvd(rmatn[1][0], -0.8836083657016688588e-5, 1e-12,
+ "eraNumat", "21", status);
+ vvd(rmatn[1][1], 0.9999999991354654959, 1e-12,
+ "eraNumat", "22", status);
+ vvd(rmatn[1][2], -0.4063240865361857698e-4, 1e-12,
+ "eraNumat", "23", status);
+
+ vvd(rmatn[2][0], -0.3831192481833385226e-5, 1e-12,
+ "eraNumat", "31", status);
+ vvd(rmatn[2][1], 0.4063237480216934159e-4, 1e-12,
+ "eraNumat", "32", status);
+ vvd(rmatn[2][2], 0.9999999991671660407, 1e-12,
+ "eraNumat", "33", status);
+
+}
+
+static void t_nut00a(int *status)
+/*
+** - - - - - - - - -
+** t _ n u t 0 0 a
+** - - - - - - - - -
+**
+** Test eraNut00a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraNut00a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double dpsi, deps;
+
+
+ eraNut00a(2400000.5, 53736.0, &dpsi, &deps);
+
+ vvd(dpsi, -0.9630909107115518431e-5, 1e-13,
+ "eraNut00a", "dpsi", status);
+ vvd(deps, 0.4063239174001678710e-4, 1e-13,
+ "eraNut00a", "deps", status);
+
+}
+
+static void t_nut00b(int *status)
+/*
+** - - - - - - - - -
+** t _ n u t 0 0 b
+** - - - - - - - - -
+**
+** Test eraNut00b function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraNut00b, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double dpsi, deps;
+
+
+ eraNut00b(2400000.5, 53736.0, &dpsi, &deps);
+
+ vvd(dpsi, -0.9632552291148362783e-5, 1e-13,
+ "eraNut00b", "dpsi", status);
+ vvd(deps, 0.4063197106621159367e-4, 1e-13,
+ "eraNut00b", "deps", status);
+
+}
+
+static void t_nut06a(int *status)
+/*
+** - - - - - - - - -
+** t _ n u t 0 6 a
+** - - - - - - - - -
+**
+** Test eraNut06a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraNut06a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double dpsi, deps;
+
+
+ eraNut06a(2400000.5, 53736.0, &dpsi, &deps);
+
+ vvd(dpsi, -0.9630912025820308797e-5, 1e-13,
+ "eraNut06a", "dpsi", status);
+ vvd(deps, 0.4063238496887249798e-4, 1e-13,
+ "eraNut06a", "deps", status);
+
+}
+
+static void t_nut80(int *status)
+/*
+** - - - - - - - -
+** t _ n u t 8 0
+** - - - - - - - -
+**
+** Test eraNut80 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraNut80, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double dpsi, deps;
+
+
+ eraNut80(2400000.5, 53736.0, &dpsi, &deps);
+
+ vvd(dpsi, -0.9643658353226563966e-5, 1e-13,
+ "eraNut80", "dpsi", status);
+ vvd(deps, 0.4060051006879713322e-4, 1e-13,
+ "eraNut80", "deps", status);
+
+}
+
+static void t_nutm80(int *status)
+/*
+** - - - - - - - - -
+** t _ n u t m 8 0
+** - - - - - - - - -
+**
+** Test eraNutm80 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraNutm80, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rmatn[3][3];
+
+
+ eraNutm80(2400000.5, 53736.0, rmatn);
+
+ vvd(rmatn[0][0], 0.9999999999534999268, 1e-12,
+ "eraNutm80", "11", status);
+ vvd(rmatn[0][1], 0.8847935789636432161e-5, 1e-12,
+ "eraNutm80", "12", status);
+ vvd(rmatn[0][2], 0.3835906502164019142e-5, 1e-12,
+ "eraNutm80", "13", status);
+
+ vvd(rmatn[1][0], -0.8847780042583435924e-5, 1e-12,
+ "eraNutm80", "21", status);
+ vvd(rmatn[1][1], 0.9999999991366569963, 1e-12,
+ "eraNutm80", "22", status);
+ vvd(rmatn[1][2], -0.4060052702727130809e-4, 1e-12,
+ "eraNutm80", "23", status);
+
+ vvd(rmatn[2][0], -0.3836265729708478796e-5, 1e-12,
+ "eraNutm80", "31", status);
+ vvd(rmatn[2][1], 0.4060049308612638555e-4, 1e-12,
+ "eraNutm80", "32", status);
+ vvd(rmatn[2][2], 0.9999999991684415129, 1e-12,
+ "eraNutm80", "33", status);
+
+}
+
+static void t_obl06(int *status)
+/*
+** - - - - - - - -
+** t _ o b l 0 6
+** - - - - - - - -
+**
+** Test eraObl06 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraObl06, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraObl06(2400000.5, 54388.0), 0.4090749229387258204, 1e-14,
+ "eraObl06", "", status);
+}
+
+static void t_obl80(int *status)
+/*
+** - - - - - - - -
+** t _ o b l 8 0
+** - - - - - - - -
+**
+** Test eraObl80 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraObl80, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double eps0;
+
+
+ eps0 = eraObl80(2400000.5, 54388.0);
+
+ vvd(eps0, 0.4090751347643816218, 1e-14, "eraObl80", "", status);
+
+}
+
+static void t_p06e(int *status)
+/*
+** - - - - - - -
+** t _ p 0 6 e
+** - - - - - - -
+**
+** Test eraP06e function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraP06e, vvd
+**
+** This revision: 2020 May 30
+*/
+{
+ double eps0, psia, oma, bpa, bqa, pia, bpia,
+ epsa, chia, za, zetaa, thetaa, pa, gam, phi, psi;
+
+
+ eraP06e(2400000.5, 52541.0, &eps0, &psia, &oma, &bpa,
+ &bqa, &pia, &bpia, &epsa, &chia, &za,
+ &zetaa, &thetaa, &pa, &gam, &phi, &psi);
+
+ vvd(eps0, 0.4090926006005828715, 1e-14,
+ "eraP06e", "eps0", status);
+ vvd(psia, 0.6664369630191613431e-3, 1e-14,
+ "eraP06e", "psia", status);
+ vvd(oma , 0.4090925973783255982, 1e-14,
+ "eraP06e", "oma", status);
+ vvd(bpa, 0.5561149371265209445e-6, 1e-14,
+ "eraP06e", "bpa", status);
+ vvd(bqa, -0.6191517193290621270e-5, 1e-14,
+ "eraP06e", "bqa", status);
+ vvd(pia, 0.6216441751884382923e-5, 1e-14,
+ "eraP06e", "pia", status);
+ vvd(bpia, 3.052014180023779882, 1e-14,
+ "eraP06e", "bpia", status);
+ vvd(epsa, 0.4090864054922431688, 1e-14,
+ "eraP06e", "epsa", status);
+ vvd(chia, 0.1387703379530915364e-5, 1e-14,
+ "eraP06e", "chia", status);
+ vvd(za, 0.2921789846651790546e-3, 1e-14,
+ "eraP06e", "za", status);
+ vvd(zetaa, 0.3178773290332009310e-3, 1e-14,
+ "eraP06e", "zetaa", status);
+ vvd(thetaa, 0.2650932701657497181e-3, 1e-14,
+ "eraP06e", "thetaa", status);
+ vvd(pa, 0.6651637681381016288e-3, 1e-14,
+ "eraP06e", "pa", status);
+ vvd(gam, 0.1398077115963754987e-5, 1e-14,
+ "eraP06e", "gam", status);
+ vvd(phi, 0.4090864090837462602, 1e-14,
+ "eraP06e", "phi", status);
+ vvd(psi, 0.6664464807480920325e-3, 1e-14,
+ "eraP06e", "psi", status);
+
+}
+
+static void t_p2pv(int *status)
+/*
+** - - - - - - -
+** t _ p 2 p v
+** - - - - - - -
+**
+** Test eraP2pv function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraP2pv, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double p[3], pv[2][3];
+
+
+ p[0] = 0.25;
+ p[1] = 1.2;
+ p[2] = 3.0;
+
+ pv[0][0] = 0.3;
+ pv[0][1] = 1.2;
+ pv[0][2] = -2.5;
+
+ pv[1][0] = -0.5;
+ pv[1][1] = 3.1;
+ pv[1][2] = 0.9;
+
+ eraP2pv(p, pv);
+
+ vvd(pv[0][0], 0.25, 0.0, "eraP2pv", "p1", status);
+ vvd(pv[0][1], 1.2, 0.0, "eraP2pv", "p2", status);
+ vvd(pv[0][2], 3.0, 0.0, "eraP2pv", "p3", status);
+
+ vvd(pv[1][0], 0.0, 0.0, "eraP2pv", "v1", status);
+ vvd(pv[1][1], 0.0, 0.0, "eraP2pv", "v2", status);
+ vvd(pv[1][2], 0.0, 0.0, "eraP2pv", "v3", status);
+
+}
+
+static void t_p2s(int *status)
+/*
+** - - - - - -
+** t _ p 2 s
+** - - - - - -
+**
+** Test eraP2s function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraP2s, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double p[3], theta, phi, r;
+
+
+ p[0] = 100.0;
+ p[1] = -50.0;
+ p[2] = 25.0;
+
+ eraP2s(p, &theta, &phi, &r);
+
+ vvd(theta, -0.4636476090008061162, 1e-12, "eraP2s", "theta", status);
+ vvd(phi, 0.2199879773954594463, 1e-12, "eraP2s", "phi", status);
+ vvd(r, 114.5643923738960002, 1e-9, "eraP2s", "r", status);
+
+}
+
+static void t_pap(int *status)
+/*
+** - - - - - -
+** t _ p a p
+** - - - - - -
+**
+** Test eraPap function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPap, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double a[3], b[3], theta;
+
+
+ a[0] = 1.0;
+ a[1] = 0.1;
+ a[2] = 0.2;
+
+ b[0] = -3.0;
+ b[1] = 1e-3;
+ b[2] = 0.2;
+
+ theta = eraPap(a, b);
+
+ vvd(theta, 0.3671514267841113674, 1e-12, "eraPap", "", status);
+
+}
+
+static void t_pas(int *status)
+/*
+** - - - - - -
+** t _ p a s
+** - - - - - -
+**
+** Test eraPas function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPas, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double al, ap, bl, bp, theta;
+
+
+ al = 1.0;
+ ap = 0.1;
+ bl = 0.2;
+ bp = -1.0;
+
+ theta = eraPas(al, ap, bl, bp);
+
+ vvd(theta, -2.724544922932270424, 1e-12, "eraPas", "", status);
+
+}
+
+static void t_pb06(int *status)
+/*
+** - - - - - - -
+** t _ p b 0 6
+** - - - - - - -
+**
+** Test eraPb06 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPb06, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double bzeta, bz, btheta;
+
+
+ eraPb06(2400000.5, 50123.9999, &bzeta, &bz, &btheta);
+
+ vvd(bzeta, -0.5092634016326478238e-3, 1e-12,
+ "eraPb06", "bzeta", status);
+ vvd(bz, -0.3602772060566044413e-3, 1e-12,
+ "eraPb06", "bz", status);
+ vvd(btheta, -0.3779735537167811177e-3, 1e-12,
+ "eraPb06", "btheta", status);
+
+}
+
+static void t_pdp(int *status)
+/*
+** - - - - - -
+** t _ p d p
+** - - - - - -
+**
+** Test eraPdp function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPdp, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double a[3], b[3], adb;
+
+
+ a[0] = 2.0;
+ a[1] = 2.0;
+ a[2] = 3.0;
+
+ b[0] = 1.0;
+ b[1] = 3.0;
+ b[2] = 4.0;
+
+ adb = eraPdp(a, b);
+
+ vvd(adb, 20, 1e-12, "eraPdp", "", status);
+
+}
+
+static void t_pfw06(int *status)
+/*
+** - - - - - - - -
+** t _ p f w 0 6
+** - - - - - - - -
+**
+** Test eraPfw06 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPfw06, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double gamb, phib, psib, epsa;
+
+
+ eraPfw06(2400000.5, 50123.9999, &gamb, &phib, &psib, &epsa);
+
+ vvd(gamb, -0.2243387670997995690e-5, 1e-16,
+ "eraPfw06", "gamb", status);
+ vvd(phib, 0.4091014602391312808, 1e-12,
+ "eraPfw06", "phib", status);
+ vvd(psib, -0.9501954178013031895e-3, 1e-14,
+ "eraPfw06", "psib", status);
+ vvd(epsa, 0.4091014316587367491, 1e-12,
+ "eraPfw06", "epsa", status);
+
+}
+
+static void t_plan94(int *status)
+/*
+** - - - - - - - - -
+** t _ p l a n 9 4
+** - - - - - - - - -
+**
+** Test eraPlan94 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPlan94, vvd, viv
+**
+** This revision: 2013 October 2
+*/
+{
+ double pv[2][3];
+ int j;
+
+
+ j = eraPlan94(2400000.5, 1e6, 0, pv);
+
+ vvd(pv[0][0], 0.0, 0.0, "eraPlan94", "x 1", status);
+ vvd(pv[0][1], 0.0, 0.0, "eraPlan94", "y 1", status);
+ vvd(pv[0][2], 0.0, 0.0, "eraPlan94", "z 1", status);
+
+ vvd(pv[1][0], 0.0, 0.0, "eraPlan94", "xd 1", status);
+ vvd(pv[1][1], 0.0, 0.0, "eraPlan94", "yd 1", status);
+ vvd(pv[1][2], 0.0, 0.0, "eraPlan94", "zd 1", status);
+
+ viv(j, -1, "eraPlan94", "j 1", status);
+
+ j = eraPlan94(2400000.5, 1e6, 10, pv);
+
+ viv(j, -1, "eraPlan94", "j 2", status);
+
+ j = eraPlan94(2400000.5, -320000, 3, pv);
+
+ vvd(pv[0][0], 0.9308038666832975759, 1e-11,
+ "eraPlan94", "x 3", status);
+ vvd(pv[0][1], 0.3258319040261346000, 1e-11,
+ "eraPlan94", "y 3", status);
+ vvd(pv[0][2], 0.1422794544481140560, 1e-11,
+ "eraPlan94", "z 3", status);
+
+ vvd(pv[1][0], -0.6429458958255170006e-2, 1e-11,
+ "eraPlan94", "xd 3", status);
+ vvd(pv[1][1], 0.1468570657704237764e-1, 1e-11,
+ "eraPlan94", "yd 3", status);
+ vvd(pv[1][2], 0.6406996426270981189e-2, 1e-11,
+ "eraPlan94", "zd 3", status);
+
+ viv(j, 1, "eraPlan94", "j 3", status);
+
+ j = eraPlan94(2400000.5, 43999.9, 1, pv);
+
+ vvd(pv[0][0], 0.2945293959257430832, 1e-11,
+ "eraPlan94", "x 4", status);
+ vvd(pv[0][1], -0.2452204176601049596, 1e-11,
+ "eraPlan94", "y 4", status);
+ vvd(pv[0][2], -0.1615427700571978153, 1e-11,
+ "eraPlan94", "z 4", status);
+
+ vvd(pv[1][0], 0.1413867871404614441e-1, 1e-11,
+ "eraPlan94", "xd 4", status);
+ vvd(pv[1][1], 0.1946548301104706582e-1, 1e-11,
+ "eraPlan94", "yd 4", status);
+ vvd(pv[1][2], 0.8929809783898904786e-2, 1e-11,
+ "eraPlan94", "zd 4", status);
+
+ viv(j, 0, "eraPlan94", "j 4", status);
+
+}
+
+static void t_pmat00(int *status)
+/*
+** - - - - - - - - -
+** t _ p m a t 0 0
+** - - - - - - - - -
+**
+** Test eraPmat00 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPmat00, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rbp[3][3];
+
+
+ eraPmat00(2400000.5, 50123.9999, rbp);
+
+ vvd(rbp[0][0], 0.9999995505175087260, 1e-12,
+ "eraPmat00", "11", status);
+ vvd(rbp[0][1], 0.8695405883617884705e-3, 1e-14,
+ "eraPmat00", "12", status);
+ vvd(rbp[0][2], 0.3779734722239007105e-3, 1e-14,
+ "eraPmat00", "13", status);
+
+ vvd(rbp[1][0], -0.8695405990410863719e-3, 1e-14,
+ "eraPmat00", "21", status);
+ vvd(rbp[1][1], 0.9999996219494925900, 1e-12,
+ "eraPmat00", "22", status);
+ vvd(rbp[1][2], -0.1360775820404982209e-6, 1e-14,
+ "eraPmat00", "23", status);
+
+ vvd(rbp[2][0], -0.3779734476558184991e-3, 1e-14,
+ "eraPmat00", "31", status);
+ vvd(rbp[2][1], -0.1925857585832024058e-6, 1e-14,
+ "eraPmat00", "32", status);
+ vvd(rbp[2][2], 0.9999999285680153377, 1e-12,
+ "eraPmat00", "33", status);
+
+}
+
+static void t_pmat06(int *status)
+/*
+** - - - - - - - - -
+** t _ p m a t 0 6
+** - - - - - - - - -
+**
+** Test eraPmat06 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPmat06, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rbp[3][3];
+
+
+ eraPmat06(2400000.5, 50123.9999, rbp);
+
+ vvd(rbp[0][0], 0.9999995505176007047, 1e-12,
+ "eraPmat06", "11", status);
+ vvd(rbp[0][1], 0.8695404617348208406e-3, 1e-14,
+ "eraPmat06", "12", status);
+ vvd(rbp[0][2], 0.3779735201865589104e-3, 1e-14,
+ "eraPmat06", "13", status);
+
+ vvd(rbp[1][0], -0.8695404723772031414e-3, 1e-14,
+ "eraPmat06", "21", status);
+ vvd(rbp[1][1], 0.9999996219496027161, 1e-12,
+ "eraPmat06", "22", status);
+ vvd(rbp[1][2], -0.1361752497080270143e-6, 1e-14,
+ "eraPmat06", "23", status);
+
+ vvd(rbp[2][0], -0.3779734957034089490e-3, 1e-14,
+ "eraPmat06", "31", status);
+ vvd(rbp[2][1], -0.1924880847894457113e-6, 1e-14,
+ "eraPmat06", "32", status);
+ vvd(rbp[2][2], 0.9999999285679971958, 1e-12,
+ "eraPmat06", "33", status);
+
+}
+
+static void t_pmat76(int *status)
+/*
+** - - - - - - - - -
+** t _ p m a t 7 6
+** - - - - - - - - -
+**
+** Test eraPmat76 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPmat76, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rmatp[3][3];
+
+
+ eraPmat76(2400000.5, 50123.9999, rmatp);
+
+ vvd(rmatp[0][0], 0.9999995504328350733, 1e-12,
+ "eraPmat76", "11", status);
+ vvd(rmatp[0][1], 0.8696632209480960785e-3, 1e-14,
+ "eraPmat76", "12", status);
+ vvd(rmatp[0][2], 0.3779153474959888345e-3, 1e-14,
+ "eraPmat76", "13", status);
+
+ vvd(rmatp[1][0], -0.8696632209485112192e-3, 1e-14,
+ "eraPmat76", "21", status);
+ vvd(rmatp[1][1], 0.9999996218428560614, 1e-12,
+ "eraPmat76", "22", status);
+ vvd(rmatp[1][2], -0.1643284776111886407e-6, 1e-14,
+ "eraPmat76", "23", status);
+
+ vvd(rmatp[2][0], -0.3779153474950335077e-3, 1e-14,
+ "eraPmat76", "31", status);
+ vvd(rmatp[2][1], -0.1643306746147366896e-6, 1e-14,
+ "eraPmat76", "32", status);
+ vvd(rmatp[2][2], 0.9999999285899790119, 1e-12,
+ "eraPmat76", "33", status);
+
+}
+
+static void t_pm(int *status)
+/*
+** - - - - -
+** t _ p m
+** - - - - -
+**
+** Test eraPm function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPm, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double p[3], r;
+
+
+ p[0] = 0.3;
+ p[1] = 1.2;
+ p[2] = -2.5;
+
+ r = eraPm(p);
+
+ vvd(r, 2.789265136196270604, 1e-12, "eraPm", "", status);
+
+}
+
+static void t_pmp(int *status)
+/*
+** - - - - - -
+** t _ p m p
+** - - - - - -
+**
+** Test eraPmp function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPmp, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double a[3], b[3], amb[3];
+
+
+ a[0] = 2.0;
+ a[1] = 2.0;
+ a[2] = 3.0;
+
+ b[0] = 1.0;
+ b[1] = 3.0;
+ b[2] = 4.0;
+
+ eraPmp(a, b, amb);
+
+ vvd(amb[0], 1.0, 1e-12, "eraPmp", "0", status);
+ vvd(amb[1], -1.0, 1e-12, "eraPmp", "1", status);
+ vvd(amb[2], -1.0, 1e-12, "eraPmp", "2", status);
+
+}
+
+static void t_pmpx(int *status)
+/*
+** - - - - - - -
+** t _ p m p x
+** - - - - - - -
+**
+** Test eraPmpx function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPmpx, vvd
+**
+** This revision: 2017 March 15
+*/
+{
+ double rc, dc, pr, pd, px, rv, pmt, pob[3], pco[3];
+
+
+ rc = 1.234;
+ dc = 0.789;
+ pr = 1e-5;
+ pd = -2e-5;
+ px = 1e-2;
+ rv = 10.0;
+ pmt = 8.75;
+ pob[0] = 0.9;
+ pob[1] = 0.4;
+ pob[2] = 0.1;
+
+ eraPmpx(rc, dc, pr, pd, px, rv, pmt, pob, pco);
+
+ vvd(pco[0], 0.2328137623960308438, 1e-12,
+ "eraPmpx", "1", status);
+ vvd(pco[1], 0.6651097085397855328, 1e-12,
+ "eraPmpx", "2", status);
+ vvd(pco[2], 0.7095257765896359837, 1e-12,
+ "eraPmpx", "3", status);
+
+}
+
+static void t_pmsafe(int *status)
+/*
+** - - - - - - - - -
+** t _ p m s a f e
+** - - - - - - - - -
+**
+** Test eraPmsafe function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPmsafe, vvd, viv
+**
+** This revision: 2017 March 15
+*/
+{
+ int j;
+ double ra1, dec1, pmr1, pmd1, px1, rv1, ep1a, ep1b, ep2a, ep2b,
+ ra2, dec2, pmr2, pmd2, px2, rv2;
+
+
+ ra1 = 1.234;
+ dec1 = 0.789;
+ pmr1 = 1e-5;
+ pmd1 = -2e-5;
+ px1 = 1e-2;
+ rv1 = 10.0;
+ ep1a = 2400000.5;
+ ep1b = 48348.5625;
+ ep2a = 2400000.5;
+ ep2b = 51544.5;
+
+ j = eraPmsafe(ra1, dec1, pmr1, pmd1, px1, rv1,
+ ep1a, ep1b, ep2a, ep2b,
+ &ra2, &dec2, &pmr2, &pmd2, &px2, &rv2);
+
+ vvd(ra2, 1.234087484501017061, 1e-12,
+ "eraPmsafe", "ra2", status);
+ vvd(dec2, 0.7888249982450468567, 1e-12,
+ "eraPmsafe", "dec2", status);
+ vvd(pmr2, 0.9996457663586073988e-5, 1e-12,
+ "eraPmsafe", "pmr2", status);
+ vvd(pmd2, -0.2000040085106754565e-4, 1e-16,
+ "eraPmsafe", "pmd2", status);
+ vvd(px2, 0.9999997295356830666e-2, 1e-12,
+ "eraPmsafe", "px2", status);
+ vvd(rv2, 10.38468380293920069, 1e-10,
+ "eraPmsafe", "rv2", status);
+ viv ( j, 0, "eraPmsafe", "j", status);
+
+}
+
+static void t_pn(int *status)
+/*
+** - - - - -
+** t _ p n
+** - - - - -
+**
+** Test eraPn function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPn, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double p[3], r, u[3];
+
+
+ p[0] = 0.3;
+ p[1] = 1.2;
+ p[2] = -2.5;
+
+ eraPn(p, &r, u);
+
+ vvd(r, 2.789265136196270604, 1e-12, "eraPn", "r", status);
+
+ vvd(u[0], 0.1075552109073112058, 1e-12, "eraPn", "u1", status);
+ vvd(u[1], 0.4302208436292448232, 1e-12, "eraPn", "u2", status);
+ vvd(u[2], -0.8962934242275933816, 1e-12, "eraPn", "u3", status);
+
+}
+
+static void t_pn00(int *status)
+/*
+** - - - - - - -
+** t _ p n 0 0
+** - - - - - - -
+**
+** Test eraPn00 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPn00, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double dpsi, deps, epsa,
+ rb[3][3], rp[3][3], rbp[3][3], rn[3][3], rbpn[3][3];
+
+
+ dpsi = -0.9632552291149335877e-5;
+ deps = 0.4063197106621141414e-4;
+
+ eraPn00(2400000.5, 53736.0, dpsi, deps,
+ &epsa, rb, rp, rbp, rn, rbpn);
+
+ vvd(epsa, 0.4090791789404229916, 1e-12, "eraPn00", "epsa", status);
+
+ vvd(rb[0][0], 0.9999999999999942498, 1e-12,
+ "eraPn00", "rb11", status);
+ vvd(rb[0][1], -0.7078279744199196626e-7, 1e-18,
+ "eraPn00", "rb12", status);
+ vvd(rb[0][2], 0.8056217146976134152e-7, 1e-18,
+ "eraPn00", "rb13", status);
+
+ vvd(rb[1][0], 0.7078279477857337206e-7, 1e-18,
+ "eraPn00", "rb21", status);
+ vvd(rb[1][1], 0.9999999999999969484, 1e-12,
+ "eraPn00", "rb22", status);
+ vvd(rb[1][2], 0.3306041454222136517e-7, 1e-18,
+ "eraPn00", "rb23", status);
+
+ vvd(rb[2][0], -0.8056217380986972157e-7, 1e-18,
+ "eraPn00", "rb31", status);
+ vvd(rb[2][1], -0.3306040883980552500e-7, 1e-18,
+ "eraPn00", "rb32", status);
+ vvd(rb[2][2], 0.9999999999999962084, 1e-12,
+ "eraPn00", "rb33", status);
+
+ vvd(rp[0][0], 0.9999989300532289018, 1e-12,
+ "eraPn00", "rp11", status);
+ vvd(rp[0][1], -0.1341647226791824349e-2, 1e-14,
+ "eraPn00", "rp12", status);
+ vvd(rp[0][2], -0.5829880927190296547e-3, 1e-14,
+ "eraPn00", "rp13", status);
+
+ vvd(rp[1][0], 0.1341647231069759008e-2, 1e-14,
+ "eraPn00", "rp21", status);
+ vvd(rp[1][1], 0.9999990999908750433, 1e-12,
+ "eraPn00", "rp22", status);
+ vvd(rp[1][2], -0.3837444441583715468e-6, 1e-14,
+ "eraPn00", "rp23", status);
+
+ vvd(rp[2][0], 0.5829880828740957684e-3, 1e-14,
+ "eraPn00", "rp31", status);
+ vvd(rp[2][1], -0.3984203267708834759e-6, 1e-14,
+ "eraPn00", "rp32", status);
+ vvd(rp[2][2], 0.9999998300623538046, 1e-12,
+ "eraPn00", "rp33", status);
+
+ vvd(rbp[0][0], 0.9999989300052243993, 1e-12,
+ "eraPn00", "rbp11", status);
+ vvd(rbp[0][1], -0.1341717990239703727e-2, 1e-14,
+ "eraPn00", "rbp12", status);
+ vvd(rbp[0][2], -0.5829075749891684053e-3, 1e-14,
+ "eraPn00", "rbp13", status);
+
+ vvd(rbp[1][0], 0.1341718013831739992e-2, 1e-14,
+ "eraPn00", "rbp21", status);
+ vvd(rbp[1][1], 0.9999990998959191343, 1e-12,
+ "eraPn00", "rbp22", status);
+ vvd(rbp[1][2], -0.3505759733565421170e-6, 1e-14,
+ "eraPn00", "rbp23", status);
+
+ vvd(rbp[2][0], 0.5829075206857717883e-3, 1e-14,
+ "eraPn00", "rbp31", status);
+ vvd(rbp[2][1], -0.4315219955198608970e-6, 1e-14,
+ "eraPn00", "rbp32", status);
+ vvd(rbp[2][2], 0.9999998301093036269, 1e-12,
+ "eraPn00", "rbp33", status);
+
+ vvd(rn[0][0], 0.9999999999536069682, 1e-12,
+ "eraPn00", "rn11", status);
+ vvd(rn[0][1], 0.8837746144872140812e-5, 1e-16,
+ "eraPn00", "rn12", status);
+ vvd(rn[0][2], 0.3831488838252590008e-5, 1e-16,
+ "eraPn00", "rn13", status);
+
+ vvd(rn[1][0], -0.8837590456633197506e-5, 1e-16,
+ "eraPn00", "rn21", status);
+ vvd(rn[1][1], 0.9999999991354692733, 1e-12,
+ "eraPn00", "rn22", status);
+ vvd(rn[1][2], -0.4063198798559573702e-4, 1e-16,
+ "eraPn00", "rn23", status);
+
+ vvd(rn[2][0], -0.3831847930135328368e-5, 1e-16,
+ "eraPn00", "rn31", status);
+ vvd(rn[2][1], 0.4063195412258150427e-4, 1e-16,
+ "eraPn00", "rn32", status);
+ vvd(rn[2][2], 0.9999999991671806225, 1e-12,
+ "eraPn00", "rn33", status);
+
+ vvd(rbpn[0][0], 0.9999989440499982806, 1e-12,
+ "eraPn00", "rbpn11", status);
+ vvd(rbpn[0][1], -0.1332880253640848301e-2, 1e-14,
+ "eraPn00", "rbpn12", status);
+ vvd(rbpn[0][2], -0.5790760898731087295e-3, 1e-14,
+ "eraPn00", "rbpn13", status);
+
+ vvd(rbpn[1][0], 0.1332856746979948745e-2, 1e-14,
+ "eraPn00", "rbpn21", status);
+ vvd(rbpn[1][1], 0.9999991109064768883, 1e-12,
+ "eraPn00", "rbpn22", status);
+ vvd(rbpn[1][2], -0.4097740555723063806e-4, 1e-14,
+ "eraPn00", "rbpn23", status);
+
+ vvd(rbpn[2][0], 0.5791301929950205000e-3, 1e-14,
+ "eraPn00", "rbpn31", status);
+ vvd(rbpn[2][1], 0.4020553681373702931e-4, 1e-14,
+ "eraPn00", "rbpn32", status);
+ vvd(rbpn[2][2], 0.9999998314958529887, 1e-12,
+ "eraPn00", "rbpn33", status);
+
+}
+
+static void t_pn00a(int *status)
+/*
+** - - - - - - - -
+** t _ p n 0 0 a
+** - - - - - - - -
+**
+** Test eraPn00a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPn00a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double dpsi, deps, epsa,
+ rb[3][3], rp[3][3], rbp[3][3], rn[3][3], rbpn[3][3];
+
+
+ eraPn00a(2400000.5, 53736.0,
+ &dpsi, &deps, &epsa, rb, rp, rbp, rn, rbpn);
+
+ vvd(dpsi, -0.9630909107115518431e-5, 1e-12,
+ "eraPn00a", "dpsi", status);
+ vvd(deps, 0.4063239174001678710e-4, 1e-12,
+ "eraPn00a", "deps", status);
+ vvd(epsa, 0.4090791789404229916, 1e-12, "eraPn00a", "epsa", status);
+
+ vvd(rb[0][0], 0.9999999999999942498, 1e-12,
+ "eraPn00a", "rb11", status);
+ vvd(rb[0][1], -0.7078279744199196626e-7, 1e-16,
+ "eraPn00a", "rb12", status);
+ vvd(rb[0][2], 0.8056217146976134152e-7, 1e-16,
+ "eraPn00a", "rb13", status);
+
+ vvd(rb[1][0], 0.7078279477857337206e-7, 1e-16,
+ "eraPn00a", "rb21", status);
+ vvd(rb[1][1], 0.9999999999999969484, 1e-12,
+ "eraPn00a", "rb22", status);
+ vvd(rb[1][2], 0.3306041454222136517e-7, 1e-16,
+ "eraPn00a", "rb23", status);
+
+ vvd(rb[2][0], -0.8056217380986972157e-7, 1e-16,
+ "eraPn00a", "rb31", status);
+ vvd(rb[2][1], -0.3306040883980552500e-7, 1e-16,
+ "eraPn00a", "rb32", status);
+ vvd(rb[2][2], 0.9999999999999962084, 1e-12,
+ "eraPn00a", "rb33", status);
+
+ vvd(rp[0][0], 0.9999989300532289018, 1e-12,
+ "eraPn00a", "rp11", status);
+ vvd(rp[0][1], -0.1341647226791824349e-2, 1e-14,
+ "eraPn00a", "rp12", status);
+ vvd(rp[0][2], -0.5829880927190296547e-3, 1e-14,
+ "eraPn00a", "rp13", status);
+
+ vvd(rp[1][0], 0.1341647231069759008e-2, 1e-14,
+ "eraPn00a", "rp21", status);
+ vvd(rp[1][1], 0.9999990999908750433, 1e-12,
+ "eraPn00a", "rp22", status);
+ vvd(rp[1][2], -0.3837444441583715468e-6, 1e-14,
+ "eraPn00a", "rp23", status);
+
+ vvd(rp[2][0], 0.5829880828740957684e-3, 1e-14,
+ "eraPn00a", "rp31", status);
+ vvd(rp[2][1], -0.3984203267708834759e-6, 1e-14,
+ "eraPn00a", "rp32", status);
+ vvd(rp[2][2], 0.9999998300623538046, 1e-12,
+ "eraPn00a", "rp33", status);
+
+ vvd(rbp[0][0], 0.9999989300052243993, 1e-12,
+ "eraPn00a", "rbp11", status);
+ vvd(rbp[0][1], -0.1341717990239703727e-2, 1e-14,
+ "eraPn00a", "rbp12", status);
+ vvd(rbp[0][2], -0.5829075749891684053e-3, 1e-14,
+ "eraPn00a", "rbp13", status);
+
+ vvd(rbp[1][0], 0.1341718013831739992e-2, 1e-14,
+ "eraPn00a", "rbp21", status);
+ vvd(rbp[1][1], 0.9999990998959191343, 1e-12,
+ "eraPn00a", "rbp22", status);
+ vvd(rbp[1][2], -0.3505759733565421170e-6, 1e-14,
+ "eraPn00a", "rbp23", status);
+
+ vvd(rbp[2][0], 0.5829075206857717883e-3, 1e-14,
+ "eraPn00a", "rbp31", status);
+ vvd(rbp[2][1], -0.4315219955198608970e-6, 1e-14,
+ "eraPn00a", "rbp32", status);
+ vvd(rbp[2][2], 0.9999998301093036269, 1e-12,
+ "eraPn00a", "rbp33", status);
+
+ vvd(rn[0][0], 0.9999999999536227949, 1e-12,
+ "eraPn00a", "rn11", status);
+ vvd(rn[0][1], 0.8836238544090873336e-5, 1e-14,
+ "eraPn00a", "rn12", status);
+ vvd(rn[0][2], 0.3830835237722400669e-5, 1e-14,
+ "eraPn00a", "rn13", status);
+
+ vvd(rn[1][0], -0.8836082880798569274e-5, 1e-14,
+ "eraPn00a", "rn21", status);
+ vvd(rn[1][1], 0.9999999991354655028, 1e-12,
+ "eraPn00a", "rn22", status);
+ vvd(rn[1][2], -0.4063240865362499850e-4, 1e-14,
+ "eraPn00a", "rn23", status);
+
+ vvd(rn[2][0], -0.3831194272065995866e-5, 1e-14,
+ "eraPn00a", "rn31", status);
+ vvd(rn[2][1], 0.4063237480216291775e-4, 1e-14,
+ "eraPn00a", "rn32", status);
+ vvd(rn[2][2], 0.9999999991671660338, 1e-12,
+ "eraPn00a", "rn33", status);
+
+ vvd(rbpn[0][0], 0.9999989440476103435, 1e-12,
+ "eraPn00a", "rbpn11", status);
+ vvd(rbpn[0][1], -0.1332881761240011763e-2, 1e-14,
+ "eraPn00a", "rbpn12", status);
+ vvd(rbpn[0][2], -0.5790767434730085751e-3, 1e-14,
+ "eraPn00a", "rbpn13", status);
+
+ vvd(rbpn[1][0], 0.1332858254308954658e-2, 1e-14,
+ "eraPn00a", "rbpn21", status);
+ vvd(rbpn[1][1], 0.9999991109044505577, 1e-12,
+ "eraPn00a", "rbpn22", status);
+ vvd(rbpn[1][2], -0.4097782710396580452e-4, 1e-14,
+ "eraPn00a", "rbpn23", status);
+
+ vvd(rbpn[2][0], 0.5791308472168152904e-3, 1e-14,
+ "eraPn00a", "rbpn31", status);
+ vvd(rbpn[2][1], 0.4020595661591500259e-4, 1e-14,
+ "eraPn00a", "rbpn32", status);
+ vvd(rbpn[2][2], 0.9999998314954572304, 1e-12,
+ "eraPn00a", "rbpn33", status);
+
+}
+
+static void t_pn00b(int *status)
+/*
+** - - - - - - - -
+** t _ p n 0 0 b
+** - - - - - - - -
+**
+** Test eraPn00b function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPn00b, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double dpsi, deps, epsa,
+ rb[3][3], rp[3][3], rbp[3][3], rn[3][3], rbpn[3][3];
+
+
+ eraPn00b(2400000.5, 53736.0, &dpsi, &deps, &epsa,
+ rb, rp, rbp, rn, rbpn);
+
+ vvd(dpsi, -0.9632552291148362783e-5, 1e-12,
+ "eraPn00b", "dpsi", status);
+ vvd(deps, 0.4063197106621159367e-4, 1e-12,
+ "eraPn00b", "deps", status);
+ vvd(epsa, 0.4090791789404229916, 1e-12, "eraPn00b", "epsa", status);
+
+ vvd(rb[0][0], 0.9999999999999942498, 1e-12,
+ "eraPn00b", "rb11", status);
+ vvd(rb[0][1], -0.7078279744199196626e-7, 1e-16,
+ "eraPn00b", "rb12", status);
+ vvd(rb[0][2], 0.8056217146976134152e-7, 1e-16,
+ "eraPn00b", "rb13", status);
+
+ vvd(rb[1][0], 0.7078279477857337206e-7, 1e-16,
+ "eraPn00b", "rb21", status);
+ vvd(rb[1][1], 0.9999999999999969484, 1e-12,
+ "eraPn00b", "rb22", status);
+ vvd(rb[1][2], 0.3306041454222136517e-7, 1e-16,
+ "eraPn00b", "rb23", status);
+
+ vvd(rb[2][0], -0.8056217380986972157e-7, 1e-16,
+ "eraPn00b", "rb31", status);
+ vvd(rb[2][1], -0.3306040883980552500e-7, 1e-16,
+ "eraPn00b", "rb32", status);
+ vvd(rb[2][2], 0.9999999999999962084, 1e-12,
+ "eraPn00b", "rb33", status);
+
+ vvd(rp[0][0], 0.9999989300532289018, 1e-12,
+ "eraPn00b", "rp11", status);
+ vvd(rp[0][1], -0.1341647226791824349e-2, 1e-14,
+ "eraPn00b", "rp12", status);
+ vvd(rp[0][2], -0.5829880927190296547e-3, 1e-14,
+ "eraPn00b", "rp13", status);
+
+ vvd(rp[1][0], 0.1341647231069759008e-2, 1e-14,
+ "eraPn00b", "rp21", status);
+ vvd(rp[1][1], 0.9999990999908750433, 1e-12,
+ "eraPn00b", "rp22", status);
+ vvd(rp[1][2], -0.3837444441583715468e-6, 1e-14,
+ "eraPn00b", "rp23", status);
+
+ vvd(rp[2][0], 0.5829880828740957684e-3, 1e-14,
+ "eraPn00b", "rp31", status);
+ vvd(rp[2][1], -0.3984203267708834759e-6, 1e-14,
+ "eraPn00b", "rp32", status);
+ vvd(rp[2][2], 0.9999998300623538046, 1e-12,
+ "eraPn00b", "rp33", status);
+
+ vvd(rbp[0][0], 0.9999989300052243993, 1e-12,
+ "eraPn00b", "rbp11", status);
+ vvd(rbp[0][1], -0.1341717990239703727e-2, 1e-14,
+ "eraPn00b", "rbp12", status);
+ vvd(rbp[0][2], -0.5829075749891684053e-3, 1e-14,
+ "eraPn00b", "rbp13", status);
+
+ vvd(rbp[1][0], 0.1341718013831739992e-2, 1e-14,
+ "eraPn00b", "rbp21", status);
+ vvd(rbp[1][1], 0.9999990998959191343, 1e-12,
+ "eraPn00b", "rbp22", status);
+ vvd(rbp[1][2], -0.3505759733565421170e-6, 1e-14,
+ "eraPn00b", "rbp23", status);
+
+ vvd(rbp[2][0], 0.5829075206857717883e-3, 1e-14,
+ "eraPn00b", "rbp31", status);
+ vvd(rbp[2][1], -0.4315219955198608970e-6, 1e-14,
+ "eraPn00b", "rbp32", status);
+ vvd(rbp[2][2], 0.9999998301093036269, 1e-12,
+ "eraPn00b", "rbp33", status);
+
+ vvd(rn[0][0], 0.9999999999536069682, 1e-12,
+ "eraPn00b", "rn11", status);
+ vvd(rn[0][1], 0.8837746144871248011e-5, 1e-14,
+ "eraPn00b", "rn12", status);
+ vvd(rn[0][2], 0.3831488838252202945e-5, 1e-14,
+ "eraPn00b", "rn13", status);
+
+ vvd(rn[1][0], -0.8837590456632304720e-5, 1e-14,
+ "eraPn00b", "rn21", status);
+ vvd(rn[1][1], 0.9999999991354692733, 1e-12,
+ "eraPn00b", "rn22", status);
+ vvd(rn[1][2], -0.4063198798559591654e-4, 1e-14,
+ "eraPn00b", "rn23", status);
+
+ vvd(rn[2][0], -0.3831847930134941271e-5, 1e-14,
+ "eraPn00b", "rn31", status);
+ vvd(rn[2][1], 0.4063195412258168380e-4, 1e-14,
+ "eraPn00b", "rn32", status);
+ vvd(rn[2][2], 0.9999999991671806225, 1e-12,
+ "eraPn00b", "rn33", status);
+
+ vvd(rbpn[0][0], 0.9999989440499982806, 1e-12,
+ "eraPn00b", "rbpn11", status);
+ vvd(rbpn[0][1], -0.1332880253640849194e-2, 1e-14,
+ "eraPn00b", "rbpn12", status);
+ vvd(rbpn[0][2], -0.5790760898731091166e-3, 1e-14,
+ "eraPn00b", "rbpn13", status);
+
+ vvd(rbpn[1][0], 0.1332856746979949638e-2, 1e-14,
+ "eraPn00b", "rbpn21", status);
+ vvd(rbpn[1][1], 0.9999991109064768883, 1e-12,
+ "eraPn00b", "rbpn22", status);
+ vvd(rbpn[1][2], -0.4097740555723081811e-4, 1e-14,
+ "eraPn00b", "rbpn23", status);
+
+ vvd(rbpn[2][0], 0.5791301929950208873e-3, 1e-14,
+ "eraPn00b", "rbpn31", status);
+ vvd(rbpn[2][1], 0.4020553681373720832e-4, 1e-14,
+ "eraPn00b", "rbpn32", status);
+ vvd(rbpn[2][2], 0.9999998314958529887, 1e-12,
+ "eraPn00b", "rbpn33", status);
+
+}
+
+static void t_pn06a(int *status)
+/*
+** - - - - - - - -
+** t _ p n 0 6 a
+** - - - - - - - -
+**
+** Test eraPn06a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPn06a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double dpsi, deps, epsa;
+ double rb[3][3], rp[3][3], rbp[3][3], rn[3][3], rbpn[3][3];
+
+
+ eraPn06a(2400000.5, 53736.0, &dpsi, &deps, &epsa,
+ rb, rp, rbp, rn, rbpn);
+
+ vvd(dpsi, -0.9630912025820308797e-5, 1e-12,
+ "eraPn06a", "dpsi", status);
+ vvd(deps, 0.4063238496887249798e-4, 1e-12,
+ "eraPn06a", "deps", status);
+ vvd(epsa, 0.4090789763356509926, 1e-12, "eraPn06a", "epsa", status);
+
+ vvd(rb[0][0], 0.9999999999999942497, 1e-12,
+ "eraPn06a", "rb11", status);
+ vvd(rb[0][1], -0.7078368960971557145e-7, 1e-14,
+ "eraPn06a", "rb12", status);
+ vvd(rb[0][2], 0.8056213977613185606e-7, 1e-14,
+ "eraPn06a", "rb13", status);
+
+ vvd(rb[1][0], 0.7078368694637674333e-7, 1e-14,
+ "eraPn06a", "rb21", status);
+ vvd(rb[1][1], 0.9999999999999969484, 1e-12,
+ "eraPn06a", "rb22", status);
+ vvd(rb[1][2], 0.3305943742989134124e-7, 1e-14,
+ "eraPn06a", "rb23", status);
+
+ vvd(rb[2][0], -0.8056214211620056792e-7, 1e-14,
+ "eraPn06a", "rb31", status);
+ vvd(rb[2][1], -0.3305943172740586950e-7, 1e-14,
+ "eraPn06a", "rb32", status);
+ vvd(rb[2][2], 0.9999999999999962084, 1e-12,
+ "eraPn06a", "rb33", status);
+
+ vvd(rp[0][0], 0.9999989300536854831, 1e-12,
+ "eraPn06a", "rp11", status);
+ vvd(rp[0][1], -0.1341646886204443795e-2, 1e-14,
+ "eraPn06a", "rp12", status);
+ vvd(rp[0][2], -0.5829880933488627759e-3, 1e-14,
+ "eraPn06a", "rp13", status);
+
+ vvd(rp[1][0], 0.1341646890569782183e-2, 1e-14,
+ "eraPn06a", "rp21", status);
+ vvd(rp[1][1], 0.9999990999913319321, 1e-12,
+ "eraPn06a", "rp22", status);
+ vvd(rp[1][2], -0.3835944216374477457e-6, 1e-14,
+ "eraPn06a", "rp23", status);
+
+ vvd(rp[2][0], 0.5829880833027867368e-3, 1e-14,
+ "eraPn06a", "rp31", status);
+ vvd(rp[2][1], -0.3985701514686976112e-6, 1e-14,
+ "eraPn06a", "rp32", status);
+ vvd(rp[2][2], 0.9999998300623534950, 1e-12,
+ "eraPn06a", "rp33", status);
+
+ vvd(rbp[0][0], 0.9999989300056797893, 1e-12,
+ "eraPn06a", "rbp11", status);
+ vvd(rbp[0][1], -0.1341717650545059598e-2, 1e-14,
+ "eraPn06a", "rbp12", status);
+ vvd(rbp[0][2], -0.5829075756493728856e-3, 1e-14,
+ "eraPn06a", "rbp13", status);
+
+ vvd(rbp[1][0], 0.1341717674223918101e-2, 1e-14,
+ "eraPn06a", "rbp21", status);
+ vvd(rbp[1][1], 0.9999990998963748448, 1e-12,
+ "eraPn06a", "rbp22", status);
+ vvd(rbp[1][2], -0.3504269280170069029e-6, 1e-14,
+ "eraPn06a", "rbp23", status);
+
+ vvd(rbp[2][0], 0.5829075211461454599e-3, 1e-14,
+ "eraPn06a", "rbp31", status);
+ vvd(rbp[2][1], -0.4316708436255949093e-6, 1e-14,
+ "eraPn06a", "rbp32", status);
+ vvd(rbp[2][2], 0.9999998301093032943, 1e-12,
+ "eraPn06a", "rbp33", status);
+
+ vvd(rn[0][0], 0.9999999999536227668, 1e-12,
+ "eraPn06a", "rn11", status);
+ vvd(rn[0][1], 0.8836241998111535233e-5, 1e-14,
+ "eraPn06a", "rn12", status);
+ vvd(rn[0][2], 0.3830834608415287707e-5, 1e-14,
+ "eraPn06a", "rn13", status);
+
+ vvd(rn[1][0], -0.8836086334870740138e-5, 1e-14,
+ "eraPn06a", "rn21", status);
+ vvd(rn[1][1], 0.9999999991354657474, 1e-12,
+ "eraPn06a", "rn22", status);
+ vvd(rn[1][2], -0.4063240188248455065e-4, 1e-14,
+ "eraPn06a", "rn23", status);
+
+ vvd(rn[2][0], -0.3831193642839398128e-5, 1e-14,
+ "eraPn06a", "rn31", status);
+ vvd(rn[2][1], 0.4063236803101479770e-4, 1e-14,
+ "eraPn06a", "rn32", status);
+ vvd(rn[2][2], 0.9999999991671663114, 1e-12,
+ "eraPn06a", "rn33", status);
+
+ vvd(rbpn[0][0], 0.9999989440480669738, 1e-12,
+ "eraPn06a", "rbpn11", status);
+ vvd(rbpn[0][1], -0.1332881418091915973e-2, 1e-14,
+ "eraPn06a", "rbpn12", status);
+ vvd(rbpn[0][2], -0.5790767447612042565e-3, 1e-14,
+ "eraPn06a", "rbpn13", status);
+
+ vvd(rbpn[1][0], 0.1332857911250989133e-2, 1e-14,
+ "eraPn06a", "rbpn21", status);
+ vvd(rbpn[1][1], 0.9999991109049141908, 1e-12,
+ "eraPn06a", "rbpn22", status);
+ vvd(rbpn[1][2], -0.4097767128546784878e-4, 1e-14,
+ "eraPn06a", "rbpn23", status);
+
+ vvd(rbpn[2][0], 0.5791308482835292617e-3, 1e-14,
+ "eraPn06a", "rbpn31", status);
+ vvd(rbpn[2][1], 0.4020580099454020310e-4, 1e-14,
+ "eraPn06a", "rbpn32", status);
+ vvd(rbpn[2][2], 0.9999998314954628695, 1e-12,
+ "eraPn06a", "rbpn33", status);
+
+}
+
+static void t_pn06(int *status)
+/*
+** - - - - - - -
+** t _ p n 0 6
+** - - - - - - -
+**
+** Test eraPn06 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPn06, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double dpsi, deps, epsa,
+ rb[3][3], rp[3][3], rbp[3][3], rn[3][3], rbpn[3][3];
+
+
+ dpsi = -0.9632552291149335877e-5;
+ deps = 0.4063197106621141414e-4;
+
+ eraPn06(2400000.5, 53736.0, dpsi, deps,
+ &epsa, rb, rp, rbp, rn, rbpn);
+
+ vvd(epsa, 0.4090789763356509926, 1e-12, "eraPn06", "epsa", status);
+
+ vvd(rb[0][0], 0.9999999999999942497, 1e-12,
+ "eraPn06", "rb11", status);
+ vvd(rb[0][1], -0.7078368960971557145e-7, 1e-14,
+ "eraPn06", "rb12", status);
+ vvd(rb[0][2], 0.8056213977613185606e-7, 1e-14,
+ "eraPn06", "rb13", status);
+
+ vvd(rb[1][0], 0.7078368694637674333e-7, 1e-14,
+ "eraPn06", "rb21", status);
+ vvd(rb[1][1], 0.9999999999999969484, 1e-12,
+ "eraPn06", "rb22", status);
+ vvd(rb[1][2], 0.3305943742989134124e-7, 1e-14,
+ "eraPn06", "rb23", status);
+
+ vvd(rb[2][0], -0.8056214211620056792e-7, 1e-14,
+ "eraPn06", "rb31", status);
+ vvd(rb[2][1], -0.3305943172740586950e-7, 1e-14,
+ "eraPn06", "rb32", status);
+ vvd(rb[2][2], 0.9999999999999962084, 1e-12,
+ "eraPn06", "rb33", status);
+
+ vvd(rp[0][0], 0.9999989300536854831, 1e-12,
+ "eraPn06", "rp11", status);
+ vvd(rp[0][1], -0.1341646886204443795e-2, 1e-14,
+ "eraPn06", "rp12", status);
+ vvd(rp[0][2], -0.5829880933488627759e-3, 1e-14,
+ "eraPn06", "rp13", status);
+
+ vvd(rp[1][0], 0.1341646890569782183e-2, 1e-14,
+ "eraPn06", "rp21", status);
+ vvd(rp[1][1], 0.9999990999913319321, 1e-12,
+ "eraPn06", "rp22", status);
+ vvd(rp[1][2], -0.3835944216374477457e-6, 1e-14,
+ "eraPn06", "rp23", status);
+
+ vvd(rp[2][0], 0.5829880833027867368e-3, 1e-14,
+ "eraPn06", "rp31", status);
+ vvd(rp[2][1], -0.3985701514686976112e-6, 1e-14,
+ "eraPn06", "rp32", status);
+ vvd(rp[2][2], 0.9999998300623534950, 1e-12,
+ "eraPn06", "rp33", status);
+
+ vvd(rbp[0][0], 0.9999989300056797893, 1e-12,
+ "eraPn06", "rbp11", status);
+ vvd(rbp[0][1], -0.1341717650545059598e-2, 1e-14,
+ "eraPn06", "rbp12", status);
+ vvd(rbp[0][2], -0.5829075756493728856e-3, 1e-14,
+ "eraPn06", "rbp13", status);
+
+ vvd(rbp[1][0], 0.1341717674223918101e-2, 1e-14,
+ "eraPn06", "rbp21", status);
+ vvd(rbp[1][1], 0.9999990998963748448, 1e-12,
+ "eraPn06", "rbp22", status);
+ vvd(rbp[1][2], -0.3504269280170069029e-6, 1e-14,
+ "eraPn06", "rbp23", status);
+
+ vvd(rbp[2][0], 0.5829075211461454599e-3, 1e-14,
+ "eraPn06", "rbp31", status);
+ vvd(rbp[2][1], -0.4316708436255949093e-6, 1e-14,
+ "eraPn06", "rbp32", status);
+ vvd(rbp[2][2], 0.9999998301093032943, 1e-12,
+ "eraPn06", "rbp33", status);
+
+ vvd(rn[0][0], 0.9999999999536069682, 1e-12,
+ "eraPn06", "rn11", status);
+ vvd(rn[0][1], 0.8837746921149881914e-5, 1e-14,
+ "eraPn06", "rn12", status);
+ vvd(rn[0][2], 0.3831487047682968703e-5, 1e-14,
+ "eraPn06", "rn13", status);
+
+ vvd(rn[1][0], -0.8837591232983692340e-5, 1e-14,
+ "eraPn06", "rn21", status);
+ vvd(rn[1][1], 0.9999999991354692664, 1e-12,
+ "eraPn06", "rn22", status);
+ vvd(rn[1][2], -0.4063198798558931215e-4, 1e-14,
+ "eraPn06", "rn23", status);
+
+ vvd(rn[2][0], -0.3831846139597250235e-5, 1e-14,
+ "eraPn06", "rn31", status);
+ vvd(rn[2][1], 0.4063195412258792914e-4, 1e-14,
+ "eraPn06", "rn32", status);
+ vvd(rn[2][2], 0.9999999991671806293, 1e-12,
+ "eraPn06", "rn33", status);
+
+ vvd(rbpn[0][0], 0.9999989440504506688, 1e-12,
+ "eraPn06", "rbpn11", status);
+ vvd(rbpn[0][1], -0.1332879913170492655e-2, 1e-14,
+ "eraPn06", "rbpn12", status);
+ vvd(rbpn[0][2], -0.5790760923225655753e-3, 1e-14,
+ "eraPn06", "rbpn13", status);
+
+ vvd(rbpn[1][0], 0.1332856406595754748e-2, 1e-14,
+ "eraPn06", "rbpn21", status);
+ vvd(rbpn[1][1], 0.9999991109069366795, 1e-12,
+ "eraPn06", "rbpn22", status);
+ vvd(rbpn[1][2], -0.4097725651142641812e-4, 1e-14,
+ "eraPn06", "rbpn23", status);
+
+ vvd(rbpn[2][0], 0.5791301952321296716e-3, 1e-14,
+ "eraPn06", "rbpn31", status);
+ vvd(rbpn[2][1], 0.4020538796195230577e-4, 1e-14,
+ "eraPn06", "rbpn32", status);
+ vvd(rbpn[2][2], 0.9999998314958576778, 1e-12,
+ "eraPn06", "rbpn33", status);
+
+}
+
+static void t_pnm00a(int *status)
+/*
+** - - - - - - - - -
+** t _ p n m 0 0 a
+** - - - - - - - - -
+**
+** Test eraPnm00a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPnm00a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rbpn[3][3];
+
+
+ eraPnm00a(2400000.5, 50123.9999, rbpn);
+
+ vvd(rbpn[0][0], 0.9999995832793134257, 1e-12,
+ "eraPnm00a", "11", status);
+ vvd(rbpn[0][1], 0.8372384254137809439e-3, 1e-14,
+ "eraPnm00a", "12", status);
+ vvd(rbpn[0][2], 0.3639684306407150645e-3, 1e-14,
+ "eraPnm00a", "13", status);
+
+ vvd(rbpn[1][0], -0.8372535226570394543e-3, 1e-14,
+ "eraPnm00a", "21", status);
+ vvd(rbpn[1][1], 0.9999996486491582471, 1e-12,
+ "eraPnm00a", "22", status);
+ vvd(rbpn[1][2], 0.4132915262664072381e-4, 1e-14,
+ "eraPnm00a", "23", status);
+
+ vvd(rbpn[2][0], -0.3639337004054317729e-3, 1e-14,
+ "eraPnm00a", "31", status);
+ vvd(rbpn[2][1], -0.4163386925461775873e-4, 1e-14,
+ "eraPnm00a", "32", status);
+ vvd(rbpn[2][2], 0.9999999329094390695, 1e-12,
+ "eraPnm00a", "33", status);
+
+}
+
+static void t_pnm00b(int *status)
+/*
+** - - - - - - - - -
+** t _ p n m 0 0 b
+** - - - - - - - - -
+**
+** Test eraPnm00b function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPnm00b, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rbpn[3][3];
+
+
+ eraPnm00b(2400000.5, 50123.9999, rbpn);
+
+ vvd(rbpn[0][0], 0.9999995832776208280, 1e-12,
+ "eraPnm00b", "11", status);
+ vvd(rbpn[0][1], 0.8372401264429654837e-3, 1e-14,
+ "eraPnm00b", "12", status);
+ vvd(rbpn[0][2], 0.3639691681450271771e-3, 1e-14,
+ "eraPnm00b", "13", status);
+
+ vvd(rbpn[1][0], -0.8372552234147137424e-3, 1e-14,
+ "eraPnm00b", "21", status);
+ vvd(rbpn[1][1], 0.9999996486477686123, 1e-12,
+ "eraPnm00b", "22", status);
+ vvd(rbpn[1][2], 0.4132832190946052890e-4, 1e-14,
+ "eraPnm00b", "23", status);
+
+ vvd(rbpn[2][0], -0.3639344385341866407e-3, 1e-14,
+ "eraPnm00b", "31", status);
+ vvd(rbpn[2][1], -0.4163303977421522785e-4, 1e-14,
+ "eraPnm00b", "32", status);
+ vvd(rbpn[2][2], 0.9999999329092049734, 1e-12,
+ "eraPnm00b", "33", status);
+
+}
+
+static void t_pnm06a(int *status)
+/*
+** - - - - - - - - -
+** t _ p n m 0 6 a
+** - - - - - - - - -
+**
+** Test eraPnm06a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPnm06a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rbpn[3][3];
+
+
+ eraPnm06a(2400000.5, 50123.9999, rbpn);
+
+ vvd(rbpn[0][0], 0.9999995832794205484, 1e-12,
+ "eraPnm06a", "11", status);
+ vvd(rbpn[0][1], 0.8372382772630962111e-3, 1e-14,
+ "eraPnm06a", "12", status);
+ vvd(rbpn[0][2], 0.3639684771140623099e-3, 1e-14,
+ "eraPnm06a", "13", status);
+
+ vvd(rbpn[1][0], -0.8372533744743683605e-3, 1e-14,
+ "eraPnm06a", "21", status);
+ vvd(rbpn[1][1], 0.9999996486492861646, 1e-12,
+ "eraPnm06a", "22", status);
+ vvd(rbpn[1][2], 0.4132905944611019498e-4, 1e-14,
+ "eraPnm06a", "23", status);
+
+ vvd(rbpn[2][0], -0.3639337469629464969e-3, 1e-14,
+ "eraPnm06a", "31", status);
+ vvd(rbpn[2][1], -0.4163377605910663999e-4, 1e-14,
+ "eraPnm06a", "32", status);
+ vvd(rbpn[2][2], 0.9999999329094260057, 1e-12,
+ "eraPnm06a", "33", status);
+
+}
+
+static void t_pnm80(int *status)
+/*
+** - - - - - - - -
+** t _ p n m 8 0
+** - - - - - - - -
+**
+** Test eraPnm80 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPnm80, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double rmatpn[3][3];
+
+
+ eraPnm80(2400000.5, 50123.9999, rmatpn);
+
+ vvd(rmatpn[0][0], 0.9999995831934611169, 1e-12,
+ "eraPnm80", "11", status);
+ vvd(rmatpn[0][1], 0.8373654045728124011e-3, 1e-14,
+ "eraPnm80", "12", status);
+ vvd(rmatpn[0][2], 0.3639121916933106191e-3, 1e-14,
+ "eraPnm80", "13", status);
+
+ vvd(rmatpn[1][0], -0.8373804896118301316e-3, 1e-14,
+ "eraPnm80", "21", status);
+ vvd(rmatpn[1][1], 0.9999996485439674092, 1e-12,
+ "eraPnm80", "22", status);
+ vvd(rmatpn[1][2], 0.4130202510421549752e-4, 1e-14,
+ "eraPnm80", "23", status);
+
+ vvd(rmatpn[2][0], -0.3638774789072144473e-3, 1e-14,
+ "eraPnm80", "31", status);
+ vvd(rmatpn[2][1], -0.4160674085851722359e-4, 1e-14,
+ "eraPnm80", "32", status);
+ vvd(rmatpn[2][2], 0.9999999329310274805, 1e-12,
+ "eraPnm80", "33", status);
+
+}
+
+static void t_pom00(int *status)
+/*
+** - - - - - - - -
+** t _ p o m 0 0
+** - - - - - - - -
+**
+** Test eraPom00 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPom00, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double xp, yp, sp, rpom[3][3];
+
+
+ xp = 2.55060238e-7;
+ yp = 1.860359247e-6;
+ sp = -0.1367174580728891460e-10;
+
+ eraPom00(xp, yp, sp, rpom);
+
+ vvd(rpom[0][0], 0.9999999999999674721, 1e-12,
+ "eraPom00", "11", status);
+ vvd(rpom[0][1], -0.1367174580728846989e-10, 1e-16,
+ "eraPom00", "12", status);
+ vvd(rpom[0][2], 0.2550602379999972345e-6, 1e-16,
+ "eraPom00", "13", status);
+
+ vvd(rpom[1][0], 0.1414624947957029801e-10, 1e-16,
+ "eraPom00", "21", status);
+ vvd(rpom[1][1], 0.9999999999982695317, 1e-12,
+ "eraPom00", "22", status);
+ vvd(rpom[1][2], -0.1860359246998866389e-5, 1e-16,
+ "eraPom00", "23", status);
+
+ vvd(rpom[2][0], -0.2550602379741215021e-6, 1e-16,
+ "eraPom00", "31", status);
+ vvd(rpom[2][1], 0.1860359247002414021e-5, 1e-16,
+ "eraPom00", "32", status);
+ vvd(rpom[2][2], 0.9999999999982370039, 1e-12,
+ "eraPom00", "33", status);
+
+}
+
+static void t_ppp(int *status)
+/*
+** - - - - - -
+** t _ p p p
+** - - - - - -
+**
+** Test eraPpp function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPpp, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double a[3], b[3], apb[3];
+
+
+ a[0] = 2.0;
+ a[1] = 2.0;
+ a[2] = 3.0;
+
+ b[0] = 1.0;
+ b[1] = 3.0;
+ b[2] = 4.0;
+
+ eraPpp(a, b, apb);
+
+ vvd(apb[0], 3.0, 1e-12, "eraPpp", "0", status);
+ vvd(apb[1], 5.0, 1e-12, "eraPpp", "1", status);
+ vvd(apb[2], 7.0, 1e-12, "eraPpp", "2", status);
+
+}
+
+static void t_ppsp(int *status)
+/*
+** - - - - - - -
+** t _ p p s p
+** - - - - - - -
+**
+** Test eraPpsp function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPpsp, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double a[3], s, b[3], apsb[3];
+
+
+ a[0] = 2.0;
+ a[1] = 2.0;
+ a[2] = 3.0;
+
+ s = 5.0;
+
+ b[0] = 1.0;
+ b[1] = 3.0;
+ b[2] = 4.0;
+
+ eraPpsp(a, s, b, apsb);
+
+ vvd(apsb[0], 7.0, 1e-12, "eraPpsp", "0", status);
+ vvd(apsb[1], 17.0, 1e-12, "eraPpsp", "1", status);
+ vvd(apsb[2], 23.0, 1e-12, "eraPpsp", "2", status);
+
+}
+
+static void t_pr00(int *status)
+/*
+** - - - - - - -
+** t _ p r 0 0
+** - - - - - - -
+**
+** Test eraPr00 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPr00, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double dpsipr, depspr;
+
+ eraPr00(2400000.5, 53736, &dpsipr, &depspr);
+
+ vvd(dpsipr, -0.8716465172668347629e-7, 1e-22,
+ "eraPr00", "dpsipr", status);
+ vvd(depspr, -0.7342018386722813087e-8, 1e-22,
+ "eraPr00", "depspr", status);
+
+}
+
+static void t_prec76(int *status)
+/*
+** - - - - - - - - -
+** t _ p r e c 7 6
+** - - - - - - - - -
+**
+** Test eraPrec76 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPrec76, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double ep01, ep02, ep11, ep12, zeta, z, theta;
+
+
+ ep01 = 2400000.5;
+ ep02 = 33282.0;
+ ep11 = 2400000.5;
+ ep12 = 51544.0;
+
+ eraPrec76(ep01, ep02, ep11, ep12, &zeta, &z, &theta);
+
+ vvd(zeta, 0.5588961642000161243e-2, 1e-12,
+ "eraPrec76", "zeta", status);
+ vvd(z, 0.5589922365870680624e-2, 1e-12,
+ "eraPrec76", "z", status);
+ vvd(theta, 0.4858945471687296760e-2, 1e-12,
+ "eraPrec76", "theta", status);
+
+}
+
+static void t_pv2p(int *status)
+/*
+** - - - - - - -
+** t _ p v 2 p
+** - - - - - - -
+**
+** Test eraPv2p function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPv2p, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double pv[2][3], p[3];
+
+
+ pv[0][0] = 0.3;
+ pv[0][1] = 1.2;
+ pv[0][2] = -2.5;
+
+ pv[1][0] = -0.5;
+ pv[1][1] = 3.1;
+ pv[1][2] = 0.9;
+
+ eraPv2p(pv, p);
+
+ vvd(p[0], 0.3, 0.0, "eraPv2p", "1", status);
+ vvd(p[1], 1.2, 0.0, "eraPv2p", "2", status);
+ vvd(p[2], -2.5, 0.0, "eraPv2p", "3", status);
+
+}
+
+static void t_pv2s(int *status)
+/*
+** - - - - - - -
+** t _ p v 2 s
+** - - - - - - -
+**
+** Test eraPv2s function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPv2s, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double pv[2][3], theta, phi, r, td, pd, rd;
+
+
+ pv[0][0] = -0.4514964673880165;
+ pv[0][1] = 0.03093394277342585;
+ pv[0][2] = 0.05594668105108779;
+
+ pv[1][0] = 1.292270850663260e-5;
+ pv[1][1] = 2.652814182060692e-6;
+ pv[1][2] = 2.568431853930293e-6;
+
+ eraPv2s(pv, &theta, &phi, &r, &td, &pd, &rd);
+
+ vvd(theta, 3.073185307179586515, 1e-12, "eraPv2s", "theta", status);
+ vvd(phi, 0.1229999999999999992, 1e-12, "eraPv2s", "phi", status);
+ vvd(r, 0.4559999999999999757, 1e-12, "eraPv2s", "r", status);
+ vvd(td, -0.7800000000000000364e-5, 1e-16, "eraPv2s", "td", status);
+ vvd(pd, 0.9010000000000001639e-5, 1e-16, "eraPv2s", "pd", status);
+ vvd(rd, -0.1229999999999999832e-4, 1e-16, "eraPv2s", "rd", status);
+
+}
+
+static void t_pvdpv(int *status)
+/*
+** - - - - - - - -
+** t _ p v d p v
+** - - - - - - - -
+**
+** Test eraPvdpv function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPvdpv, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double a[2][3], b[2][3], adb[2];
+
+
+ a[0][0] = 2.0;
+ a[0][1] = 2.0;
+ a[0][2] = 3.0;
+
+ a[1][0] = 6.0;
+ a[1][1] = 0.0;
+ a[1][2] = 4.0;
+
+ b[0][0] = 1.0;
+ b[0][1] = 3.0;
+ b[0][2] = 4.0;
+
+ b[1][0] = 0.0;
+ b[1][1] = 2.0;
+ b[1][2] = 8.0;
+
+ eraPvdpv(a, b, adb);
+
+ vvd(adb[0], 20.0, 1e-12, "eraPvdpv", "1", status);
+ vvd(adb[1], 50.0, 1e-12, "eraPvdpv", "2", status);
+
+}
+
+static void t_pvm(int *status)
+/*
+** - - - - - -
+** t _ p v m
+** - - - - - -
+**
+** Test eraPvm function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPvm, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double pv[2][3], r, s;
+
+
+ pv[0][0] = 0.3;
+ pv[0][1] = 1.2;
+ pv[0][2] = -2.5;
+
+ pv[1][0] = 0.45;
+ pv[1][1] = -0.25;
+ pv[1][2] = 1.1;
+
+ eraPvm(pv, &r, &s);
+
+ vvd(r, 2.789265136196270604, 1e-12, "eraPvm", "r", status);
+ vvd(s, 1.214495780149111922, 1e-12, "eraPvm", "s", status);
+
+}
+
+static void t_pvmpv(int *status)
+/*
+** - - - - - - - -
+** t _ p v m p v
+** - - - - - - - -
+**
+** Test eraPvmpv function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPvmpv, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double a[2][3], b[2][3], amb[2][3];
+
+
+ a[0][0] = 2.0;
+ a[0][1] = 2.0;
+ a[0][2] = 3.0;
+
+ a[1][0] = 5.0;
+ a[1][1] = 6.0;
+ a[1][2] = 3.0;
+
+ b[0][0] = 1.0;
+ b[0][1] = 3.0;
+ b[0][2] = 4.0;
+
+ b[1][0] = 3.0;
+ b[1][1] = 2.0;
+ b[1][2] = 1.0;
+
+ eraPvmpv(a, b, amb);
+
+ vvd(amb[0][0], 1.0, 1e-12, "eraPvmpv", "11", status);
+ vvd(amb[0][1], -1.0, 1e-12, "eraPvmpv", "21", status);
+ vvd(amb[0][2], -1.0, 1e-12, "eraPvmpv", "31", status);
+
+ vvd(amb[1][0], 2.0, 1e-12, "eraPvmpv", "12", status);
+ vvd(amb[1][1], 4.0, 1e-12, "eraPvmpv", "22", status);
+ vvd(amb[1][2], 2.0, 1e-12, "eraPvmpv", "32", status);
+
+}
+
+static void t_pvppv(int *status)
+/*
+** - - - - - - - -
+** t _ p v p p v
+** - - - - - - - -
+**
+** Test eraPvppv function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPvppv, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double a[2][3], b[2][3], apb[2][3];
+
+
+ a[0][0] = 2.0;
+ a[0][1] = 2.0;
+ a[0][2] = 3.0;
+
+ a[1][0] = 5.0;
+ a[1][1] = 6.0;
+ a[1][2] = 3.0;
+
+ b[0][0] = 1.0;
+ b[0][1] = 3.0;
+ b[0][2] = 4.0;
+
+ b[1][0] = 3.0;
+ b[1][1] = 2.0;
+ b[1][2] = 1.0;
+
+ eraPvppv(a, b, apb);
+
+ vvd(apb[0][0], 3.0, 1e-12, "eraPvppv", "p1", status);
+ vvd(apb[0][1], 5.0, 1e-12, "eraPvppv", "p2", status);
+ vvd(apb[0][2], 7.0, 1e-12, "eraPvppv", "p3", status);
+
+ vvd(apb[1][0], 8.0, 1e-12, "eraPvppv", "v1", status);
+ vvd(apb[1][1], 8.0, 1e-12, "eraPvppv", "v2", status);
+ vvd(apb[1][2], 4.0, 1e-12, "eraPvppv", "v3", status);
+
+}
+
+static void t_pvstar(int *status)
+/*
+** - - - - - - - - -
+** t _ p v s t a r
+** - - - - - - - - -
+**
+** Test eraPvstar function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPvstar, vvd, viv
+**
+** This revision: 2017 March 15
+*/
+{
+ double pv[2][3], ra, dec, pmr, pmd, px, rv;
+ int j;
+
+
+ pv[0][0] = 126668.5912743160601;
+ pv[0][1] = 2136.792716839935195;
+ pv[0][2] = -245251.2339876830091;
+
+ pv[1][0] = -0.4051854035740712739e-2;
+ pv[1][1] = -0.6253919754866173866e-2;
+ pv[1][2] = 0.1189353719774107189e-1;
+
+ j = eraPvstar(pv, &ra, &dec, &pmr, &pmd, &px, &rv);
+
+ vvd(ra, 0.1686756e-1, 1e-12, "eraPvstar", "ra", status);
+ vvd(dec, -1.093989828, 1e-12, "eraPvstar", "dec", status);
+ vvd(pmr, -0.1783235160000472788e-4, 1e-16, "eraPvstar", "pmr", status);
+ vvd(pmd, 0.2336024047000619347e-5, 1e-16, "eraPvstar", "pmd", status);
+ vvd(px, 0.74723, 1e-12, "eraPvstar", "px", status);
+ vvd(rv, -21.60000010107306010, 1e-11, "eraPvstar", "rv", status);
+
+ viv(j, 0, "eraPvstar", "j", status);
+
+}
+
+static void t_pvtob(int *status)
+/*
+** - - - - - - - -
+** t _ p v t o b
+** - - - - - - - -
+**
+** Test eraPvtob function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPvtob, vvd
+**
+** This revision: 2013 October 2
+*/
+{
+ double elong, phi, hm, xp, yp, sp, theta, pv[2][3];
+
+
+ elong = 2.0;
+ phi = 0.5;
+ hm = 3000.0;
+ xp = 1e-6;
+ yp = -0.5e-6;
+ sp = 1e-8;
+ theta = 5.0;
+
+ eraPvtob(elong, phi, hm, xp, yp, sp, theta, pv);
+
+ vvd(pv[0][0], 4225081.367071159207, 1e-5,
+ "eraPvtob", "p(1)", status);
+ vvd(pv[0][1], 3681943.215856198144, 1e-5,
+ "eraPvtob", "p(2)", status);
+ vvd(pv[0][2], 3041149.399241260785, 1e-5,
+ "eraPvtob", "p(3)", status);
+ vvd(pv[1][0], -268.4915389365998787, 1e-9,
+ "eraPvtob", "v(1)", status);
+ vvd(pv[1][1], 308.0977983288903123, 1e-9,
+ "eraPvtob", "v(2)", status);
+ vvd(pv[1][2], 0, 0,
+ "eraPvtob", "v(3)", status);
+
+}
+
+static void t_pvu(int *status)
+/*
+** - - - - - -
+** t _ p v u
+** - - - - - -
+**
+** Test eraPvu function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPvu, vvd
+**
+** This revision: 2021 January 5
+*/
+{
+ double pv[2][3], upv[2][3];
+
+
+ pv[0][0] = 126668.5912743160734;
+ pv[0][1] = 2136.792716839935565;
+ pv[0][2] = -245251.2339876830229;
+
+ pv[1][0] = -0.4051854035740713039e-2;
+ pv[1][1] = -0.6253919754866175788e-2;
+ pv[1][2] = 0.1189353719774107615e-1;
+
+ eraPvu(2920.0, pv, upv);
+
+ vvd(upv[0][0], 126656.7598605317105, 1e-6,
+ "eraPvu", "p1", status);
+ vvd(upv[0][1], 2118.531271155726332, 1e-8,
+ "eraPvu", "p2", status);
+ vvd(upv[0][2], -245216.5048590656190, 1e-6,
+ "eraPvu", "p3", status);
+
+ vvd(upv[1][0], -0.4051854035740713039e-2, 1e-12,
+ "eraPvu", "v1", status);
+ vvd(upv[1][1], -0.6253919754866175788e-2, 1e-12,
+ "eraPvu", "v2", status);
+ vvd(upv[1][2], 0.1189353719774107615e-1, 1e-12,
+ "eraPvu", "v3", status);
+
+}
+
+static void t_pvup(int *status)
+/*
+** - - - - - - -
+** t _ p v u p
+** - - - - - - -
+**
+** Test eraPvup function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPvup, vvd
+**
+** This revision: 2021 January 5
+*/
+{
+ double pv[2][3], p[3];
+
+
+ pv[0][0] = 126668.5912743160734;
+ pv[0][1] = 2136.792716839935565;
+ pv[0][2] = -245251.2339876830229;
+
+ pv[1][0] = -0.4051854035740713039e-2;
+ pv[1][1] = -0.6253919754866175788e-2;
+ pv[1][2] = 0.1189353719774107615e-1;
+
+ eraPvup(2920.0, pv, p);
+
+ vvd(p[0], 126656.7598605317105, 1e-6, "eraPvup", "1", status);
+ vvd(p[1], 2118.531271155726332, 1e-8, "eraPvup", "2", status);
+ vvd(p[2], -245216.5048590656190, 1e-6, "eraPvup", "3", status);
+
+}
+
+static void t_pvxpv(int *status)
+/*
+** - - - - - - - -
+** t _ p v x p v
+** - - - - - - - -
+**
+** Test eraPvxpv function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPvxpv, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double a[2][3], b[2][3], axb[2][3];
+
+
+ a[0][0] = 2.0;
+ a[0][1] = 2.0;
+ a[0][2] = 3.0;
+
+ a[1][0] = 6.0;
+ a[1][1] = 0.0;
+ a[1][2] = 4.0;
+
+ b[0][0] = 1.0;
+ b[0][1] = 3.0;
+ b[0][2] = 4.0;
+
+ b[1][0] = 0.0;
+ b[1][1] = 2.0;
+ b[1][2] = 8.0;
+
+ eraPvxpv(a, b, axb);
+
+ vvd(axb[0][0], -1.0, 1e-12, "eraPvxpv", "p1", status);
+ vvd(axb[0][1], -5.0, 1e-12, "eraPvxpv", "p2", status);
+ vvd(axb[0][2], 4.0, 1e-12, "eraPvxpv", "p3", status);
+
+ vvd(axb[1][0], -2.0, 1e-12, "eraPvxpv", "v1", status);
+ vvd(axb[1][1], -36.0, 1e-12, "eraPvxpv", "v2", status);
+ vvd(axb[1][2], 22.0, 1e-12, "eraPvxpv", "v3", status);
+
+}
+
+static void t_pxp(int *status)
+/*
+** - - - - - -
+** t _ p x p
+** - - - - - -
+**
+** Test eraPxp function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraPxp, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double a[3], b[3], axb[3];
+
+
+ a[0] = 2.0;
+ a[1] = 2.0;
+ a[2] = 3.0;
+
+ b[0] = 1.0;
+ b[1] = 3.0;
+ b[2] = 4.0;
+
+ eraPxp(a, b, axb);
+
+ vvd(axb[0], -1.0, 1e-12, "eraPxp", "1", status);
+ vvd(axb[1], -5.0, 1e-12, "eraPxp", "2", status);
+ vvd(axb[2], 4.0, 1e-12, "eraPxp", "3", status);
+
+}
+
+static void t_refco(int *status)
+/*
+** - - - - - - - -
+** t _ r e f c o
+** - - - - - - - -
+**
+** Test eraRefco function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraRefco, vvd
+**
+** This revision: 2013 October 2
+*/
+{
+ double phpa, tc, rh, wl, refa, refb;
+
+
+ phpa = 800.0;
+ tc = 10.0;
+ rh = 0.9;
+ wl = 0.4;
+
+ eraRefco(phpa, tc, rh, wl, &refa, &refb);
+
+ vvd(refa, 0.2264949956241415009e-3, 1e-15,
+ "eraRefco", "refa", status);
+ vvd(refb, -0.2598658261729343970e-6, 1e-18,
+ "eraRefco", "refb", status);
+
+}
+
+static void t_rm2v(int *status)
+/*
+** - - - - - - -
+** t _ r m 2 v
+** - - - - - - -
+**
+** Test eraRm2v function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraRm2v, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double r[3][3], w[3];
+
+
+ r[0][0] = 0.00;
+ r[0][1] = -0.80;
+ r[0][2] = -0.60;
+
+ r[1][0] = 0.80;
+ r[1][1] = -0.36;
+ r[1][2] = 0.48;
+
+ r[2][0] = 0.60;
+ r[2][1] = 0.48;
+ r[2][2] = -0.64;
+
+ eraRm2v(r, w);
+
+ vvd(w[0], 0.0, 1e-12, "eraRm2v", "1", status);
+ vvd(w[1], 1.413716694115406957, 1e-12, "eraRm2v", "2", status);
+ vvd(w[2], -1.884955592153875943, 1e-12, "eraRm2v", "3", status);
+
+}
+
+static void t_rv2m(int *status)
+/*
+** - - - - - - -
+** t _ r v 2 m
+** - - - - - - -
+**
+** Test eraRv2m function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraRv2m, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double w[3], r[3][3];
+
+
+ w[0] = 0.0;
+ w[1] = 1.41371669;
+ w[2] = -1.88495559;
+
+ eraRv2m(w, r);
+
+ vvd(r[0][0], -0.7071067782221119905, 1e-14, "eraRv2m", "11", status);
+ vvd(r[0][1], -0.5656854276809129651, 1e-14, "eraRv2m", "12", status);
+ vvd(r[0][2], -0.4242640700104211225, 1e-14, "eraRv2m", "13", status);
+
+ vvd(r[1][0], 0.5656854276809129651, 1e-14, "eraRv2m", "21", status);
+ vvd(r[1][1], -0.0925483394532274246, 1e-14, "eraRv2m", "22", status);
+ vvd(r[1][2], -0.8194112531408833269, 1e-14, "eraRv2m", "23", status);
+
+ vvd(r[2][0], 0.4242640700104211225, 1e-14, "eraRv2m", "31", status);
+ vvd(r[2][1], -0.8194112531408833269, 1e-14, "eraRv2m", "32", status);
+ vvd(r[2][2], 0.3854415612311154341, 1e-14, "eraRv2m", "33", status);
+
+}
+
+static void t_rx(int *status)
+/*
+** - - - - -
+** t _ r x
+** - - - - -
+**
+** Test eraRx function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraRx, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double phi, r[3][3];
+
+
+ phi = 0.3456789;
+
+ r[0][0] = 2.0;
+ r[0][1] = 3.0;
+ r[0][2] = 2.0;
+
+ r[1][0] = 3.0;
+ r[1][1] = 2.0;
+ r[1][2] = 3.0;
+
+ r[2][0] = 3.0;
+ r[2][1] = 4.0;
+ r[2][2] = 5.0;
+
+ eraRx(phi, r);
+
+ vvd(r[0][0], 2.0, 0.0, "eraRx", "11", status);
+ vvd(r[0][1], 3.0, 0.0, "eraRx", "12", status);
+ vvd(r[0][2], 2.0, 0.0, "eraRx", "13", status);
+
+ vvd(r[1][0], 3.839043388235612460, 1e-12, "eraRx", "21", status);
+ vvd(r[1][1], 3.237033249594111899, 1e-12, "eraRx", "22", status);
+ vvd(r[1][2], 4.516714379005982719, 1e-12, "eraRx", "23", status);
+
+ vvd(r[2][0], 1.806030415924501684, 1e-12, "eraRx", "31", status);
+ vvd(r[2][1], 3.085711545336372503, 1e-12, "eraRx", "32", status);
+ vvd(r[2][2], 3.687721683977873065, 1e-12, "eraRx", "33", status);
+
+}
+
+static void t_rxp(int *status)
+/*
+** - - - - - -
+** t _ r x p
+** - - - - - -
+**
+** Test eraRxp function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraRxp, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double r[3][3], p[3], rp[3];
+
+
+ r[0][0] = 2.0;
+ r[0][1] = 3.0;
+ r[0][2] = 2.0;
+
+ r[1][0] = 3.0;
+ r[1][1] = 2.0;
+ r[1][2] = 3.0;
+
+ r[2][0] = 3.0;
+ r[2][1] = 4.0;
+ r[2][2] = 5.0;
+
+ p[0] = 0.2;
+ p[1] = 1.5;
+ p[2] = 0.1;
+
+ eraRxp(r, p, rp);
+
+ vvd(rp[0], 5.1, 1e-12, "eraRxp", "1", status);
+ vvd(rp[1], 3.9, 1e-12, "eraRxp", "2", status);
+ vvd(rp[2], 7.1, 1e-12, "eraRxp", "3", status);
+
+}
+
+static void t_rxpv(int *status)
+/*
+** - - - - - - -
+** t _ r x p v
+** - - - - - - -
+**
+** Test eraRxpv function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraRxpv, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double r[3][3], pv[2][3], rpv[2][3];
+
+
+ r[0][0] = 2.0;
+ r[0][1] = 3.0;
+ r[0][2] = 2.0;
+
+ r[1][0] = 3.0;
+ r[1][1] = 2.0;
+ r[1][2] = 3.0;
+
+ r[2][0] = 3.0;
+ r[2][1] = 4.0;
+ r[2][2] = 5.0;
+
+ pv[0][0] = 0.2;
+ pv[0][1] = 1.5;
+ pv[0][2] = 0.1;
+
+ pv[1][0] = 1.5;
+ pv[1][1] = 0.2;
+ pv[1][2] = 0.1;
+
+ eraRxpv(r, pv, rpv);
+
+ vvd(rpv[0][0], 5.1, 1e-12, "eraRxpv", "11", status);
+ vvd(rpv[1][0], 3.8, 1e-12, "eraRxpv", "12", status);
+
+ vvd(rpv[0][1], 3.9, 1e-12, "eraRxpv", "21", status);
+ vvd(rpv[1][1], 5.2, 1e-12, "eraRxpv", "22", status);
+
+ vvd(rpv[0][2], 7.1, 1e-12, "eraRxpv", "31", status);
+ vvd(rpv[1][2], 5.8, 1e-12, "eraRxpv", "32", status);
+
+}
+
+static void t_rxr(int *status)
+/*
+** - - - - - -
+** t _ r x r
+** - - - - - -
+**
+** Test eraRxr function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraRxr, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double a[3][3], b[3][3], atb[3][3];
+
+
+ a[0][0] = 2.0;
+ a[0][1] = 3.0;
+ a[0][2] = 2.0;
+
+ a[1][0] = 3.0;
+ a[1][1] = 2.0;
+ a[1][2] = 3.0;
+
+ a[2][0] = 3.0;
+ a[2][1] = 4.0;
+ a[2][2] = 5.0;
+
+ b[0][0] = 1.0;
+ b[0][1] = 2.0;
+ b[0][2] = 2.0;
+
+ b[1][0] = 4.0;
+ b[1][1] = 1.0;
+ b[1][2] = 1.0;
+
+ b[2][0] = 3.0;
+ b[2][1] = 0.0;
+ b[2][2] = 1.0;
+
+ eraRxr(a, b, atb);
+
+ vvd(atb[0][0], 20.0, 1e-12, "eraRxr", "11", status);
+ vvd(atb[0][1], 7.0, 1e-12, "eraRxr", "12", status);
+ vvd(atb[0][2], 9.0, 1e-12, "eraRxr", "13", status);
+
+ vvd(atb[1][0], 20.0, 1e-12, "eraRxr", "21", status);
+ vvd(atb[1][1], 8.0, 1e-12, "eraRxr", "22", status);
+ vvd(atb[1][2], 11.0, 1e-12, "eraRxr", "23", status);
+
+ vvd(atb[2][0], 34.0, 1e-12, "eraRxr", "31", status);
+ vvd(atb[2][1], 10.0, 1e-12, "eraRxr", "32", status);
+ vvd(atb[2][2], 15.0, 1e-12, "eraRxr", "33", status);
+
+}
+
+static void t_ry(int *status)
+/*
+** - - - - -
+** t _ r y
+** - - - - -
+**
+** Test eraRy function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraRy, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double theta, r[3][3];
+
+
+ theta = 0.3456789;
+
+ r[0][0] = 2.0;
+ r[0][1] = 3.0;
+ r[0][2] = 2.0;
+
+ r[1][0] = 3.0;
+ r[1][1] = 2.0;
+ r[1][2] = 3.0;
+
+ r[2][0] = 3.0;
+ r[2][1] = 4.0;
+ r[2][2] = 5.0;
+
+ eraRy(theta, r);
+
+ vvd(r[0][0], 0.8651847818978159930, 1e-12, "eraRy", "11", status);
+ vvd(r[0][1], 1.467194920539316554, 1e-12, "eraRy", "12", status);
+ vvd(r[0][2], 0.1875137911274457342, 1e-12, "eraRy", "13", status);
+
+ vvd(r[1][0], 3, 1e-12, "eraRy", "21", status);
+ vvd(r[1][1], 2, 1e-12, "eraRy", "22", status);
+ vvd(r[1][2], 3, 1e-12, "eraRy", "23", status);
+
+ vvd(r[2][0], 3.500207892850427330, 1e-12, "eraRy", "31", status);
+ vvd(r[2][1], 4.779889022262298150, 1e-12, "eraRy", "32", status);
+ vvd(r[2][2], 5.381899160903798712, 1e-12, "eraRy", "33", status);
+
+}
+
+static void t_rz(int *status)
+/*
+** - - - - -
+** t _ r z
+** - - - - -
+**
+** Test eraRz function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraRz, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double psi, r[3][3];
+
+
+ psi = 0.3456789;
+
+ r[0][0] = 2.0;
+ r[0][1] = 3.0;
+ r[0][2] = 2.0;
+
+ r[1][0] = 3.0;
+ r[1][1] = 2.0;
+ r[1][2] = 3.0;
+
+ r[2][0] = 3.0;
+ r[2][1] = 4.0;
+ r[2][2] = 5.0;
+
+ eraRz(psi, r);
+
+ vvd(r[0][0], 2.898197754208926769, 1e-12, "eraRz", "11", status);
+ vvd(r[0][1], 3.500207892850427330, 1e-12, "eraRz", "12", status);
+ vvd(r[0][2], 2.898197754208926769, 1e-12, "eraRz", "13", status);
+
+ vvd(r[1][0], 2.144865911309686813, 1e-12, "eraRz", "21", status);
+ vvd(r[1][1], 0.865184781897815993, 1e-12, "eraRz", "22", status);
+ vvd(r[1][2], 2.144865911309686813, 1e-12, "eraRz", "23", status);
+
+ vvd(r[2][0], 3.0, 1e-12, "eraRz", "31", status);
+ vvd(r[2][1], 4.0, 1e-12, "eraRz", "32", status);
+ vvd(r[2][2], 5.0, 1e-12, "eraRz", "33", status);
+
+}
+
+static void t_s00a(int *status)
+/*
+** - - - - - - -
+** t _ s 0 0 a
+** - - - - - - -
+**
+** Test eraS00a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraS00a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double s;
+
+
+ s = eraS00a(2400000.5, 52541.0);
+
+ vvd(s, -0.1340684448919163584e-7, 1e-18, "eraS00a", "", status);
+
+}
+
+static void t_s00b(int *status)
+/*
+** - - - - - - -
+** t _ s 0 0 b
+** - - - - - - -
+**
+** Test eraS00b function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraS00b, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double s;
+
+
+ s = eraS00b(2400000.5, 52541.0);
+
+ vvd(s, -0.1340695782951026584e-7, 1e-18, "eraS00b", "", status);
+
+}
+
+static void t_s00(int *status)
+/*
+** - - - - - -
+** t _ s 0 0
+** - - - - - -
+**
+** Test eraS00 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraS00, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double x, y, s;
+
+
+ x = 0.5791308486706011000e-3;
+ y = 0.4020579816732961219e-4;
+
+ s = eraS00(2400000.5, 53736.0, x, y);
+
+ vvd(s, -0.1220036263270905693e-7, 1e-18, "eraS00", "", status);
+
+}
+
+static void t_s06a(int *status)
+/*
+** - - - - - - -
+** t _ s 0 6 a
+** - - - - - - -
+**
+** Test eraS06a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraS06a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double s;
+
+
+ s = eraS06a(2400000.5, 52541.0);
+
+ vvd(s, -0.1340680437291812383e-7, 1e-18, "eraS06a", "", status);
+
+}
+
+static void t_s06(int *status)
+/*
+** - - - - - -
+** t _ s 0 6
+** - - - - - -
+**
+** Test eraS06 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraS06, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double x, y, s;
+
+
+ x = 0.5791308486706011000e-3;
+ y = 0.4020579816732961219e-4;
+
+ s = eraS06(2400000.5, 53736.0, x, y);
+
+ vvd(s, -0.1220032213076463117e-7, 1e-18, "eraS06", "", status);
+
+}
+
+static void t_s2c(int *status)
+/*
+** - - - - - -
+** t _ s 2 c
+** - - - - - -
+**
+** Test eraS2c function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraS2c, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double c[3];
+
+
+ eraS2c(3.0123, -0.999, c);
+
+ vvd(c[0], -0.5366267667260523906, 1e-12, "eraS2c", "1", status);
+ vvd(c[1], 0.0697711109765145365, 1e-12, "eraS2c", "2", status);
+ vvd(c[2], -0.8409302618566214041, 1e-12, "eraS2c", "3", status);
+
+}
+
+static void t_s2p(int *status)
+/*
+** - - - - - -
+** t _ s 2 p
+** - - - - - -
+**
+** Test eraS2p function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraS2p, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double p[3];
+
+
+ eraS2p(-3.21, 0.123, 0.456, p);
+
+ vvd(p[0], -0.4514964673880165228, 1e-12, "eraS2p", "x", status);
+ vvd(p[1], 0.0309339427734258688, 1e-12, "eraS2p", "y", status);
+ vvd(p[2], 0.0559466810510877933, 1e-12, "eraS2p", "z", status);
+
+}
+
+static void t_s2pv(int *status)
+/*
+** - - - - - - -
+** t _ s 2 p v
+** - - - - - - -
+**
+** Test eraS2pv function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraS2pv, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double pv[2][3];
+
+
+ eraS2pv(-3.21, 0.123, 0.456, -7.8e-6, 9.01e-6, -1.23e-5, pv);
+
+ vvd(pv[0][0], -0.4514964673880165228, 1e-12, "eraS2pv", "x", status);
+ vvd(pv[0][1], 0.0309339427734258688, 1e-12, "eraS2pv", "y", status);
+ vvd(pv[0][2], 0.0559466810510877933, 1e-12, "eraS2pv", "z", status);
+
+ vvd(pv[1][0], 0.1292270850663260170e-4, 1e-16,
+ "eraS2pv", "vx", status);
+ vvd(pv[1][1], 0.2652814182060691422e-5, 1e-16,
+ "eraS2pv", "vy", status);
+ vvd(pv[1][2], 0.2568431853930292259e-5, 1e-16,
+ "eraS2pv", "vz", status);
+
+}
+
+static void t_s2xpv(int *status)
+/*
+** - - - - - - - -
+** t _ s 2 x p v
+** - - - - - - - -
+**
+** Test eraS2xpv function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraS2xpv, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double s1, s2, pv[2][3], spv[2][3];
+
+
+ s1 = 2.0;
+ s2 = 3.0;
+
+ pv[0][0] = 0.3;
+ pv[0][1] = 1.2;
+ pv[0][2] = -2.5;
+
+ pv[1][0] = 0.5;
+ pv[1][1] = 2.3;
+ pv[1][2] = -0.4;
+
+ eraS2xpv(s1, s2, pv, spv);
+
+ vvd(spv[0][0], 0.6, 1e-12, "eraS2xpv", "p1", status);
+ vvd(spv[0][1], 2.4, 1e-12, "eraS2xpv", "p2", status);
+ vvd(spv[0][2], -5.0, 1e-12, "eraS2xpv", "p3", status);
+
+ vvd(spv[1][0], 1.5, 1e-12, "eraS2xpv", "v1", status);
+ vvd(spv[1][1], 6.9, 1e-12, "eraS2xpv", "v2", status);
+ vvd(spv[1][2], -1.2, 1e-12, "eraS2xpv", "v3", status);
+
+}
+
+static void t_sepp(int *status)
+/*
+** - - - - - - -
+** t _ s e p p
+** - - - - - - -
+**
+** Test eraSepp function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraSepp, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double a[3], b[3], s;
+
+
+ a[0] = 1.0;
+ a[1] = 0.1;
+ a[2] = 0.2;
+
+ b[0] = -3.0;
+ b[1] = 1e-3;
+ b[2] = 0.2;
+
+ s = eraSepp(a, b);
+
+ vvd(s, 2.860391919024660768, 1e-12, "eraSepp", "", status);
+
+}
+
+static void t_seps(int *status)
+/*
+** - - - - - - -
+** t _ s e p s
+** - - - - - - -
+**
+** Test eraSeps function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraSeps, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double al, ap, bl, bp, s;
+
+
+ al = 1.0;
+ ap = 0.1;
+
+ bl = 0.2;
+ bp = -3.0;
+
+ s = eraSeps(al, ap, bl, bp);
+
+ vvd(s, 2.346722016996998842, 1e-14, "eraSeps", "", status);
+
+}
+
+static void t_sp00(int *status)
+/*
+** - - - - - - -
+** t _ s p 0 0
+** - - - - - - -
+**
+** Test eraSp00 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraSp00, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ vvd(eraSp00(2400000.5, 52541.0),
+ -0.6216698469981019309e-11, 1e-12, "eraSp00", "", status);
+
+}
+
+static void t_starpm(int *status)
+/*
+** - - - - - - - - -
+** t _ s t a r p m
+** - - - - - - - - -
+**
+** Test eraStarpm function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraStarpm, vvd, viv
+**
+** This revision: 2017 March 15
+*/
+{
+ double ra1, dec1, pmr1, pmd1, px1, rv1;
+ double ra2, dec2, pmr2, pmd2, px2, rv2;
+ int j;
+
+
+ ra1 = 0.01686756;
+ dec1 = -1.093989828;
+ pmr1 = -1.78323516e-5;
+ pmd1 = 2.336024047e-6;
+ px1 = 0.74723;
+ rv1 = -21.6;
+
+ j = eraStarpm(ra1, dec1, pmr1, pmd1, px1, rv1,
+ 2400000.5, 50083.0, 2400000.5, 53736.0,
+ &ra2, &dec2, &pmr2, &pmd2, &px2, &rv2);
+
+ vvd(ra2, 0.01668919069414256149, 1e-13,
+ "eraStarpm", "ra", status);
+ vvd(dec2, -1.093966454217127897, 1e-13,
+ "eraStarpm", "dec", status);
+ vvd(pmr2, -0.1783662682153176524e-4, 1e-17,
+ "eraStarpm", "pmr", status);
+ vvd(pmd2, 0.2338092915983989595e-5, 1e-17,
+ "eraStarpm", "pmd", status);
+ vvd(px2, 0.7473533835317719243, 1e-13,
+ "eraStarpm", "px", status);
+ vvd(rv2, -21.59905170476417175, 1e-11,
+ "eraStarpm", "rv", status);
+
+ viv(j, 0, "eraStarpm", "j", status);
+
+}
+
+static void t_starpv(int *status)
+/*
+** - - - - - - - - -
+** t _ s t a r p v
+** - - - - - - - - -
+**
+** Test eraStarpv function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraStarpv, vvd, viv
+**
+** This revision: 2017 March 15
+*/
+{
+ double ra, dec, pmr, pmd, px, rv, pv[2][3];
+ int j;
+
+
+ ra = 0.01686756;
+ dec = -1.093989828;
+ pmr = -1.78323516e-5;
+ pmd = 2.336024047e-6;
+ px = 0.74723;
+ rv = -21.6;
+
+ j = eraStarpv(ra, dec, pmr, pmd, px, rv, pv);
+
+ vvd(pv[0][0], 126668.5912743160601, 1e-10,
+ "eraStarpv", "11", status);
+ vvd(pv[0][1], 2136.792716839935195, 1e-12,
+ "eraStarpv", "12", status);
+ vvd(pv[0][2], -245251.2339876830091, 1e-10,
+ "eraStarpv", "13", status);
+
+ vvd(pv[1][0], -0.4051854008955659551e-2, 1e-13,
+ "eraStarpv", "21", status);
+ vvd(pv[1][1], -0.6253919754414777970e-2, 1e-15,
+ "eraStarpv", "22", status);
+ vvd(pv[1][2], 0.1189353714588109341e-1, 1e-13,
+ "eraStarpv", "23", status);
+
+ viv(j, 0, "eraStarpv", "j", status);
+
+}
+
+static void t_sxp(int *status)
+/*
+** - - - - - -
+** t _ s x p
+** - - - - - -
+**
+** Test eraSxp function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraSxp, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double s, p[3], sp[3];
+
+
+ s = 2.0;
+
+ p[0] = 0.3;
+ p[1] = 1.2;
+ p[2] = -2.5;
+
+ eraSxp(s, p, sp);
+
+ vvd(sp[0], 0.6, 0.0, "eraSxp", "1", status);
+ vvd(sp[1], 2.4, 0.0, "eraSxp", "2", status);
+ vvd(sp[2], -5.0, 0.0, "eraSxp", "3", status);
+
+}
+
+
+static void t_sxpv(int *status)
+/*
+** - - - - - - -
+** t _ s x p v
+** - - - - - - -
+**
+** Test eraSxpv function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraSxpv, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double s, pv[2][3], spv[2][3];
+
+
+ s = 2.0;
+
+ pv[0][0] = 0.3;
+ pv[0][1] = 1.2;
+ pv[0][2] = -2.5;
+
+ pv[1][0] = 0.5;
+ pv[1][1] = 3.2;
+ pv[1][2] = -0.7;
+
+ eraSxpv(s, pv, spv);
+
+ vvd(spv[0][0], 0.6, 0.0, "eraSxpv", "p1", status);
+ vvd(spv[0][1], 2.4, 0.0, "eraSxpv", "p2", status);
+ vvd(spv[0][2], -5.0, 0.0, "eraSxpv", "p3", status);
+
+ vvd(spv[1][0], 1.0, 0.0, "eraSxpv", "v1", status);
+ vvd(spv[1][1], 6.4, 0.0, "eraSxpv", "v2", status);
+ vvd(spv[1][2], -1.4, 0.0, "eraSxpv", "v3", status);
+
+}
+
+static void t_taitt(int *status)
+/*
+** - - - - - - - -
+** t _ t a i t t
+** - - - - - - - -
+**
+** Test eraTaitt function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTaitt, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double t1, t2;
+ int j;
+
+
+ j = eraTaitt(2453750.5, 0.892482639, &t1, &t2);
+
+ vvd(t1, 2453750.5, 1e-6, "eraTaitt", "t1", status);
+ vvd(t2, 0.892855139, 1e-12, "eraTaitt", "t2", status);
+ viv(j, 0, "eraTaitt", "j", status);
+
+}
+
+static void t_taiut1(int *status)
+/*
+** - - - - - - - - -
+** t _ t a i u t 1
+** - - - - - - - - -
+**
+** Test eraTaiut1 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTaiut1, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double u1, u2;
+ int j;
+
+
+ j = eraTaiut1(2453750.5, 0.892482639, -32.6659, &u1, &u2);
+
+ vvd(u1, 2453750.5, 1e-6, "eraTaiut1", "u1", status);
+ vvd(u2, 0.8921045614537037037, 1e-12, "eraTaiut1", "u2", status);
+ viv(j, 0, "eraTaiut1", "j", status);
+
+}
+
+static void t_taiutc(int *status)
+/*
+** - - - - - - - - -
+** t _ t a i u t c
+** - - - - - - - - -
+**
+** Test eraTaiutc function.
+**
+** Returned:
+** status LOGICAL TRUE = success, FALSE = fail
+**
+** Called: eraTaiutc, vvd, viv
+**
+** This revision: 2013 October 3
+*/
+{
+ double u1, u2;
+ int j;
+
+
+ j = eraTaiutc(2453750.5, 0.892482639, &u1, &u2);
+
+ vvd(u1, 2453750.5, 1e-6, "eraTaiutc", "u1", status);
+ vvd(u2, 0.8921006945555555556, 1e-12, "eraTaiutc", "u2", status);
+ viv(j, 0, "eraTaiutc", "j", status);
+
+}
+
+static void t_tcbtdb(int *status)
+/*
+** - - - - - - - - -
+** t _ t c b t d b
+** - - - - - - - - -
+**
+** Test eraTcbtdb function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTcbtdb, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double b1, b2;
+ int j;
+
+
+ j = eraTcbtdb(2453750.5, 0.893019599, &b1, &b2);
+
+ vvd(b1, 2453750.5, 1e-6, "eraTcbtdb", "b1", status);
+ vvd(b2, 0.8928551362746343397, 1e-12, "eraTcbtdb", "b2", status);
+ viv(j, 0, "eraTcbtdb", "j", status);
+
+}
+
+static void t_tcgtt(int *status)
+/*
+** - - - - - - - -
+** t _ t c g t t
+** - - - - - - - -
+**
+** Test eraTcgtt function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTcgtt, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double t1, t2;
+ int j;
+
+
+ j = eraTcgtt(2453750.5, 0.892862531, &t1, &t2);
+
+ vvd(t1, 2453750.5, 1e-6, "eraTcgtt", "t1", status);
+ vvd(t2, 0.8928551387488816828, 1e-12, "eraTcgtt", "t2", status);
+ viv(j, 0, "eraTcgtt", "j", status);
+
+}
+
+static void t_tdbtcb(int *status)
+/*
+** - - - - - - - - -
+** t _ t d b t c b
+** - - - - - - - - -
+**
+** Test eraTdbtcb function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTdbtcb, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double b1, b2;
+ int j;
+
+
+ j = eraTdbtcb(2453750.5, 0.892855137, &b1, &b2);
+
+ vvd( b1, 2453750.5, 1e-6, "eraTdbtcb", "b1", status);
+ vvd( b2, 0.8930195997253656716, 1e-12, "eraTdbtcb", "b2", status);
+ viv(j, 0, "eraTdbtcb", "j", status);
+
+}
+
+static void t_tdbtt(int *status)
+/*
+** - - - - - - - -
+** t _ t d b t t
+** - - - - - - - -
+**
+** Test eraTdbtt function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTdbtt, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double t1, t2;
+ int j;
+
+
+ j = eraTdbtt(2453750.5, 0.892855137, -0.000201, &t1, &t2);
+
+ vvd(t1, 2453750.5, 1e-6, "eraTdbtt", "t1", status);
+ vvd(t2, 0.8928551393263888889, 1e-12, "eraTdbtt", "t2", status);
+ viv(j, 0, "eraTdbtt", "j", status);
+
+}
+
+static void t_tf2a(int *status)
+/*
+** - - - - - - -
+** t _ t f 2 a
+** - - - - - - -
+**
+** Test eraTf2a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTf2a, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double a;
+ int j;
+
+
+ j = eraTf2a('+', 4, 58, 20.2, &a);
+
+ vvd(a, 1.301739278189537429, 1e-12, "eraTf2a", "a", status);
+ viv(j, 0, "eraTf2a", "j", status);
+
+}
+
+static void t_tf2d(int *status)
+/*
+** - - - - - - -
+** t _ t f 2 d
+** - - - - - - -
+**
+** Test eraTf2d function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTf2d, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double d;
+ int j;
+
+
+ j = eraTf2d(' ', 23, 55, 10.9, &d);
+
+ vvd(d, 0.9966539351851851852, 1e-12, "eraTf2d", "d", status);
+ viv(j, 0, "eraTf2d", "j", status);
+
+}
+
+static void t_tpors(int *status)
+/*
+** - - - - - - - -
+** t _ t p o r s
+** - - - - - - - -
+**
+** Test eraTpors function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTpors, vvd, viv
+**
+** This revision: 2017 October 21
+*/
+{
+ double xi, eta, ra, dec, az1, bz1, az2, bz2;
+ int n;
+
+
+ xi = -0.03;
+ eta = 0.07;
+ ra = 1.3;
+ dec = 1.5;
+
+ n = eraTpors(xi, eta, ra, dec, &az1, &bz1, &az2, &bz2);
+
+ vvd(az1, 1.736621577783208748, 1e-13, "eraTpors", "az1", status);
+ vvd(bz1, 1.436736561844090323, 1e-13, "eraTpors", "bz1", status);
+
+ vvd(az2, 4.004971075806584490, 1e-13, "eraTpors", "az2", status);
+ vvd(bz2, 1.565084088476417917, 1e-13, "eraTpors", "bz2", status);
+
+ viv(n, 2, "eraTpors", "n", status);
+
+}
+
+static void t_tporv(int *status)
+/*
+** - - - - - - - -
+** t _ t p o r v
+** - - - - - - - -
+**
+** Test eraTporv function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTporv, eraS2c, vvd, viv
+**
+** This revision: 2017 October 21
+*/
+{
+ double xi, eta, ra, dec, v[3], vz1[3], vz2[3];
+ int n;
+
+
+ xi = -0.03;
+ eta = 0.07;
+ ra = 1.3;
+ dec = 1.5;
+ eraS2c(ra, dec, v);
+
+ n = eraTporv(xi, eta, v, vz1, vz2);
+
+ vvd(vz1[0], -0.02206252822366888610, 1e-15,
+ "eraTporv", "x1", status);
+ vvd(vz1[1], 0.1318251060359645016, 1e-14,
+ "eraTporv", "y1", status);
+ vvd(vz1[2], 0.9910274397144543895, 1e-14,
+ "eraTporv", "z1", status);
+
+ vvd(vz2[0], -0.003712211763801968173, 1e-16,
+ "eraTporv", "x2", status);
+ vvd(vz2[1], -0.004341519956299836813, 1e-16,
+ "eraTporv", "y2", status);
+ vvd(vz2[2], 0.9999836852110587012, 1e-14,
+ "eraTporv", "z2", status);
+
+ viv(n, 2, "eraTporv", "n", status);
+
+}
+
+static void t_tpsts(int *status)
+/*
+** - - - - - - - -
+** t _ t p s t s
+** - - - - - - - -
+**
+** Test eraTpsts function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTpsts, vvd
+**
+** This revision: 2017 October 21
+*/
+{
+ double xi, eta, raz, decz, ra, dec;
+
+
+ xi = -0.03;
+ eta = 0.07;
+ raz = 2.3;
+ decz = 1.5;
+
+ eraTpsts(xi, eta, raz, decz, &ra, &dec);
+
+ vvd(ra, 0.7596127167359629775, 1e-14, "eraTpsts", "ra", status);
+ vvd(dec, 1.540864645109263028, 1e-13, "eraTpsts", "dec", status);
+
+}
+
+static void t_tpstv(int *status)
+/*
+** - - - - - - - -
+** t _ t p s t v
+** - - - - - - - -
+**
+** Test eraTpstv function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTpstv, eraS2c, vvd
+**
+** This revision: 2017 October 21
+*/
+{
+ double xi, eta, raz, decz, vz[3], v[3];
+
+
+ xi = -0.03;
+ eta = 0.07;
+ raz = 2.3;
+ decz = 1.5;
+ eraS2c(raz, decz, vz);
+
+ eraTpstv(xi, eta, vz, v);
+
+ vvd(v[0], 0.02170030454907376677, 1e-15, "eraTpstv", "x", status);
+ vvd(v[1], 0.02060909590535367447, 1e-15, "eraTpstv", "y", status);
+ vvd(v[2], 0.9995520806583523804, 1e-14, "eraTpstv", "z", status);
+
+}
+
+static void t_tpxes(int *status)
+/*
+** - - - - - - - -
+** t _ t p x e s
+** - - - - - - - -
+**
+** Test eraTpxes function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTpxes, vvd, viv
+**
+** This revision: 2017 October 21
+*/
+{
+ double ra, dec, raz, decz, xi, eta;
+ int j;
+
+
+ ra = 1.3;
+ dec = 1.55;
+ raz = 2.3;
+ decz = 1.5;
+
+ j = eraTpxes(ra, dec, raz, decz, &xi, &eta);
+
+ vvd(xi, -0.01753200983236980595, 1e-15, "eraTpxes", "xi", status);
+ vvd(eta, 0.05962940005778712891, 1e-15, "eraTpxes", "eta", status);
+
+ viv(j, 0, "eraTpxes", "j", status);
+
+}
+
+static void t_tpxev(int *status)
+/*
+** - - - - - - - -
+** t _ t p x e v
+** - - - - - - - -
+**
+** Test eraTpxev function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTpxev, eraS2c, vvd
+**
+** This revision: 2017 October 21
+*/
+{
+ double ra, dec, raz, decz, v[3], vz[3], xi, eta;
+ int j;
+
+
+ ra = 1.3;
+ dec = 1.55;
+ raz = 2.3;
+ decz = 1.5;
+ eraS2c(ra, dec, v);
+ eraS2c(raz, decz, vz);
+
+ j = eraTpxev(v, vz, &xi, &eta);
+
+ vvd(xi, -0.01753200983236980595, 1e-15, "eraTpxev", "xi", status);
+ vvd(eta, 0.05962940005778712891, 1e-15, "eraTpxev", "eta", status);
+
+ viv(j, 0, "eraTpxev", "j", status);
+
+}
+
+static void t_tr(int *status)
+/*
+** - - - - -
+** t _ t r
+** - - - - -
+**
+** Test eraTr function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTr, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double r[3][3], rt[3][3];
+
+
+ r[0][0] = 2.0;
+ r[0][1] = 3.0;
+ r[0][2] = 2.0;
+
+ r[1][0] = 3.0;
+ r[1][1] = 2.0;
+ r[1][2] = 3.0;
+
+ r[2][0] = 3.0;
+ r[2][1] = 4.0;
+ r[2][2] = 5.0;
+
+ eraTr(r, rt);
+
+ vvd(rt[0][0], 2.0, 0.0, "eraTr", "11", status);
+ vvd(rt[0][1], 3.0, 0.0, "eraTr", "12", status);
+ vvd(rt[0][2], 3.0, 0.0, "eraTr", "13", status);
+
+ vvd(rt[1][0], 3.0, 0.0, "eraTr", "21", status);
+ vvd(rt[1][1], 2.0, 0.0, "eraTr", "22", status);
+ vvd(rt[1][2], 4.0, 0.0, "eraTr", "23", status);
+
+ vvd(rt[2][0], 2.0, 0.0, "eraTr", "31", status);
+ vvd(rt[2][1], 3.0, 0.0, "eraTr", "32", status);
+ vvd(rt[2][2], 5.0, 0.0, "eraTr", "33", status);
+
+}
+
+static void t_trxp(int *status)
+/*
+** - - - - - - -
+** t _ t r x p
+** - - - - - - -
+**
+** Test eraTrxp function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTrxp, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double r[3][3], p[3], trp[3];
+
+
+ r[0][0] = 2.0;
+ r[0][1] = 3.0;
+ r[0][2] = 2.0;
+
+ r[1][0] = 3.0;
+ r[1][1] = 2.0;
+ r[1][2] = 3.0;
+
+ r[2][0] = 3.0;
+ r[2][1] = 4.0;
+ r[2][2] = 5.0;
+
+ p[0] = 0.2;
+ p[1] = 1.5;
+ p[2] = 0.1;
+
+ eraTrxp(r, p, trp);
+
+ vvd(trp[0], 5.2, 1e-12, "eraTrxp", "1", status);
+ vvd(trp[1], 4.0, 1e-12, "eraTrxp", "2", status);
+ vvd(trp[2], 5.4, 1e-12, "eraTrxp", "3", status);
+
+}
+
+static void t_trxpv(int *status)
+/*
+** - - - - - - - -
+** t _ t r x p v
+** - - - - - - - -
+**
+** Test eraTrxpv function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTrxpv, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double r[3][3], pv[2][3], trpv[2][3];
+
+
+ r[0][0] = 2.0;
+ r[0][1] = 3.0;
+ r[0][2] = 2.0;
+
+ r[1][0] = 3.0;
+ r[1][1] = 2.0;
+ r[1][2] = 3.0;
+
+ r[2][0] = 3.0;
+ r[2][1] = 4.0;
+ r[2][2] = 5.0;
+
+ pv[0][0] = 0.2;
+ pv[0][1] = 1.5;
+ pv[0][2] = 0.1;
+
+ pv[1][0] = 1.5;
+ pv[1][1] = 0.2;
+ pv[1][2] = 0.1;
+
+ eraTrxpv(r, pv, trpv);
+
+ vvd(trpv[0][0], 5.2, 1e-12, "eraTrxpv", "p1", status);
+ vvd(trpv[0][1], 4.0, 1e-12, "eraTrxpv", "p1", status);
+ vvd(trpv[0][2], 5.4, 1e-12, "eraTrxpv", "p1", status);
+
+ vvd(trpv[1][0], 3.9, 1e-12, "eraTrxpv", "v1", status);
+ vvd(trpv[1][1], 5.3, 1e-12, "eraTrxpv", "v2", status);
+ vvd(trpv[1][2], 4.1, 1e-12, "eraTrxpv", "v3", status);
+
+}
+
+static void t_tttai(int *status)
+/*
+** - - - - - - - -
+** t _ t t t a i
+** - - - - - - - -
+**
+** Test eraTttai function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTttai, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double a1, a2;
+ int j;
+
+
+ j = eraTttai(2453750.5, 0.892482639, &a1, &a2);
+
+ vvd(a1, 2453750.5, 1e-6, "eraTttai", "a1", status);
+ vvd(a2, 0.892110139, 1e-12, "eraTttai", "a2", status);
+ viv(j, 0, "eraTttai", "j", status);
+
+}
+
+static void t_tttcg(int *status)
+/*
+** - - - - - - - -
+** t _ t t t c g
+** - - - - - - - -
+**
+** Test eraTttcg function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTttcg, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double g1, g2;
+ int j;
+
+
+ j = eraTttcg(2453750.5, 0.892482639, &g1, &g2);
+
+ vvd( g1, 2453750.5, 1e-6, "eraTttcg", "g1", status);
+ vvd( g2, 0.8924900312508587113, 1e-12, "eraTttcg", "g2", status);
+ viv(j, 0, "eraTttcg", "j", status);
+
+}
+
+static void t_tttdb(int *status)
+/*
+** - - - - - - - -
+** t _ t t t d b
+** - - - - - - - -
+**
+** Test eraTttdb function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTttdb, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double b1, b2;
+ int j;
+
+
+ j = eraTttdb(2453750.5, 0.892855139, -0.000201, &b1, &b2);
+
+ vvd(b1, 2453750.5, 1e-6, "eraTttdb", "b1", status);
+ vvd(b2, 0.8928551366736111111, 1e-12, "eraTttdb", "b2", status);
+ viv(j, 0, "eraTttdb", "j", status);
+
+}
+
+static void t_ttut1(int *status)
+/*
+** - - - - - - - -
+** t _ t t u t 1
+** - - - - - - - -
+**
+** Test eraTtut1 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraTtut1, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double u1, u2;
+ int j;
+
+
+ j = eraTtut1(2453750.5, 0.892855139, 64.8499, &u1, &u2);
+
+ vvd(u1, 2453750.5, 1e-6, "eraTtut1", "u1", status);
+ vvd(u2, 0.8921045614537037037, 1e-12, "eraTtut1", "u2", status);
+ viv(j, 0, "eraTtut1", "j", status);
+
+}
+
+static void t_ut1tai(int *status)
+/*
+** - - - - - - - - -
+** t _ u t 1 t a i
+** - - - - - - - - -
+**
+** Test eraUt1tai function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraUt1tai, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double a1, a2;
+ int j;
+
+
+ j = eraUt1tai(2453750.5, 0.892104561, -32.6659, &a1, &a2);
+
+ vvd(a1, 2453750.5, 1e-6, "eraUt1tai", "a1", status);
+ vvd(a2, 0.8924826385462962963, 1e-12, "eraUt1tai", "a2", status);
+ viv(j, 0, "eraUt1tai", "j", status);
+
+}
+
+static void t_ut1tt(int *status)
+/*
+** - - - - - - - -
+** t _ u t 1 t t
+** - - - - - - - -
+**
+** Test eraUt1tt function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraUt1tt, vvd, viv
+**
+** This revision: 2013 October 3
+*/
+{
+ double t1, t2;
+ int j;
+
+
+ j = eraUt1tt(2453750.5, 0.892104561, 64.8499, &t1, &t2);
+
+ vvd(t1, 2453750.5, 1e-6, "eraUt1tt", "t1", status);
+ vvd(t2, 0.8928551385462962963, 1e-12, "eraUt1tt", "t2", status);
+ viv(j, 0, "eraUt1tt", "j", status);
+
+}
+
+static void t_ut1utc(int *status)
+/*
+** - - - - - - - - -
+** t _ u t 1 u t c
+** - - - - - - - - -
+**
+** Test eraUt1utc function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraUt1utc, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double u1, u2;
+ int j;
+
+
+ j = eraUt1utc(2453750.5, 0.892104561, 0.3341, &u1, &u2);
+
+ vvd(u1, 2453750.5, 1e-6, "eraUt1utc", "u1", status);
+ vvd(u2, 0.8921006941018518519, 1e-12, "eraUt1utc", "u2", status);
+ viv(j, 0, "eraUt1utc", "j", status);
+
+}
+
+static void t_utctai(int *status)
+/*
+** - - - - - - - - -
+** t _ u t c t a i
+** - - - - - - - - -
+**
+** Test eraUtctai function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraUtctai, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double u1, u2;
+ int j;
+
+
+ j = eraUtctai(2453750.5, 0.892100694, &u1, &u2);
+
+ vvd(u1, 2453750.5, 1e-6, "eraUtctai", "u1", status);
+ vvd(u2, 0.8924826384444444444, 1e-12, "eraUtctai", "u2", status);
+ viv(j, 0, "eraUtctai", "j", status);
+
+}
+
+static void t_utcut1(int *status)
+/*
+** - - - - - - - - -
+** t _ u t c u t 1
+** - - - - - - - - -
+**
+** Test eraUtcut1 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraUtcut1, vvd, viv
+**
+** This revision: 2013 August 7
+*/
+{
+ double u1, u2;
+ int j;
+
+
+ j = eraUtcut1(2453750.5, 0.892100694, 0.3341, &u1, &u2);
+
+ vvd(u1, 2453750.5, 1e-6, "eraUtcut1", "u1", status);
+ vvd(u2, 0.8921045608981481481, 1e-12, "eraUtcut1", "u2", status);
+ viv(j, 0, "eraUtcut1", "j", status);
+
+}
+
+static void t_xy06(int *status)
+/*
+** - - - - - - -
+** t _ x y 0 6
+** - - - - - - -
+**
+** Test eraXy06 function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraXy06, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double x, y;
+
+
+ eraXy06(2400000.5, 53736.0, &x, &y);
+
+ vvd(x, 0.5791308486706010975e-3, 1e-15, "eraXy06", "x", status);
+ vvd(y, 0.4020579816732958141e-4, 1e-16, "eraXy06", "y", status);
+
+}
+
+static void t_xys00a(int *status)
+/*
+** - - - - - - - - -
+** t _ x y s 0 0 a
+** - - - - - - - - -
+**
+** Test eraXys00a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraXys00a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double x, y, s;
+
+
+ eraXys00a(2400000.5, 53736.0, &x, &y, &s);
+
+ vvd(x, 0.5791308472168152904e-3, 1e-14, "eraXys00a", "x", status);
+ vvd(y, 0.4020595661591500259e-4, 1e-15, "eraXys00a", "y", status);
+ vvd(s, -0.1220040848471549623e-7, 1e-18, "eraXys00a", "s", status);
+
+}
+
+static void t_xys00b(int *status)
+/*
+** - - - - - - - - -
+** t _ x y s 0 0 b
+** - - - - - - - - -
+**
+** Test eraXys00b function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraXys00b, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double x, y, s;
+
+
+ eraXys00b(2400000.5, 53736.0, &x, &y, &s);
+
+ vvd(x, 0.5791301929950208873e-3, 1e-14, "eraXys00b", "x", status);
+ vvd(y, 0.4020553681373720832e-4, 1e-15, "eraXys00b", "y", status);
+ vvd(s, -0.1220027377285083189e-7, 1e-18, "eraXys00b", "s", status);
+
+}
+
+static void t_xys06a(int *status)
+/*
+** - - - - - - - - -
+** t _ x y s 0 6 a
+** - - - - - - - - -
+**
+** Test eraXys06a function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraXys06a, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double x, y, s;
+
+
+ eraXys06a(2400000.5, 53736.0, &x, &y, &s);
+
+ vvd(x, 0.5791308482835292617e-3, 1e-14, "eraXys06a", "x", status);
+ vvd(y, 0.4020580099454020310e-4, 1e-15, "eraXys06a", "y", status);
+ vvd(s, -0.1220032294164579896e-7, 1e-18, "eraXys06a", "s", status);
+
+}
+
+static void t_zp(int *status)
+/*
+** - - - - -
+** t _ z p
+** - - - - -
+**
+** Test eraZp function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraZp, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double p[3];
+
+
+ p[0] = 0.3;
+ p[1] = 1.2;
+ p[2] = -2.5;
+
+ eraZp(p);
+
+ vvd(p[0], 0.0, 0.0, "eraZp", "1", status);
+ vvd(p[1], 0.0, 0.0, "eraZp", "2", status);
+ vvd(p[2], 0.0, 0.0, "eraZp", "3", status);
+
+}
+
+static void t_zpv(int *status)
+/*
+** - - - - - -
+** t _ z p v
+** - - - - - -
+**
+** Test eraZpv function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraZpv, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double pv[2][3];
+
+
+ pv[0][0] = 0.3;
+ pv[0][1] = 1.2;
+ pv[0][2] = -2.5;
+
+ pv[1][0] = -0.5;
+ pv[1][1] = 3.1;
+ pv[1][2] = 0.9;
+
+ eraZpv(pv);
+
+ vvd(pv[0][0], 0.0, 0.0, "eraZpv", "p1", status);
+ vvd(pv[0][1], 0.0, 0.0, "eraZpv", "p2", status);
+ vvd(pv[0][2], 0.0, 0.0, "eraZpv", "p3", status);
+
+ vvd(pv[1][0], 0.0, 0.0, "eraZpv", "v1", status);
+ vvd(pv[1][1], 0.0, 0.0, "eraZpv", "v2", status);
+ vvd(pv[1][2], 0.0, 0.0, "eraZpv", "v3", status);
+
+}
+
+static void t_zr(int *status)
+/*
+** - - - - -
+** t _ z r
+** - - - - -
+**
+** Test eraZr function.
+**
+** Returned:
+** status int FALSE = success, TRUE = fail
+**
+** Called: eraZr, vvd
+**
+** This revision: 2013 August 7
+*/
+{
+ double r[3][3];
+
+
+ r[0][0] = 2.0;
+ r[1][0] = 3.0;
+ r[2][0] = 2.0;
+
+ r[0][1] = 3.0;
+ r[1][1] = 2.0;
+ r[2][1] = 3.0;
+
+ r[0][2] = 3.0;
+ r[1][2] = 4.0;
+ r[2][2] = 5.0;
+
+ eraZr(r);
+
+ vvd(r[0][0], 0.0, 0.0, "eraZr", "00", status);
+ vvd(r[1][0], 0.0, 0.0, "eraZr", "01", status);
+ vvd(r[2][0], 0.0, 0.0, "eraZr", "02", status);
+
+ vvd(r[0][1], 0.0, 0.0, "eraZr", "10", status);
+ vvd(r[1][1], 0.0, 0.0, "eraZr", "11", status);
+ vvd(r[2][1], 0.0, 0.0, "eraZr", "12", status);
+
+ vvd(r[0][2], 0.0, 0.0, "eraZr", "20", status);
+ vvd(r[1][2], 0.0, 0.0, "eraZr", "21", status);
+ vvd(r[2][2], 0.0, 0.0, "eraZr", "22", status);
+
+}
+
+int main(int argc, char *argv[])
+/*
+** - - - - -
+** m a i n
+** - - - - -
+**
+** This revision: 2021 April 18
+*/
+{
+ int status;
+
+
+/* If any command-line argument, switch to verbose reporting. */
+ if (argc > 1) {
+ verbose = 1;
+ argv[0][0] += 0; /* to avoid compiler warnings */
+ }
+
+/* Preset the &status to FALSE = success. */
+ status = 0;
+
+/* Test all of the ERFA functions. */
+ t_a2af(&status);
+ t_a2tf(&status);
+ t_ab(&status);
+ t_ae2hd(&status);
+ t_af2a(&status);
+ t_anp(&status);
+ t_anpm(&status);
+ t_apcg(&status);
+ t_apcg13(&status);
+ t_apci(&status);
+ t_apci13(&status);
+ t_apco(&status);
+ t_apco13(&status);
+ t_apcs(&status);
+ t_apcs13(&status);
+ t_aper(&status);
+ t_aper13(&status);
+ t_apio(&status);
+ t_apio13(&status);
+ t_atcc13(&status);
+ t_atccq(&status);
+ t_atci13(&status);
+ t_atciq(&status);
+ t_atciqn(&status);
+ t_atciqz(&status);
+ t_atco13(&status);
+ t_atic13(&status);
+ t_aticq(&status);
+ t_aticqn(&status);
+ t_atio13(&status);
+ t_atioq(&status);
+ t_atoc13(&status);
+ t_atoi13(&status);
+ t_atoiq(&status);
+ t_bi00(&status);
+ t_bp00(&status);
+ t_bp06(&status);
+ t_bpn2xy(&status);
+ t_c2i00a(&status);
+ t_c2i00b(&status);
+ t_c2i06a(&status);
+ t_c2ibpn(&status);
+ t_c2ixy(&status);
+ t_c2ixys(&status);
+ t_c2s(&status);
+ t_c2t00a(&status);
+ t_c2t00b(&status);
+ t_c2t06a(&status);
+ t_c2tcio(&status);
+ t_c2teqx(&status);
+ t_c2tpe(&status);
+ t_c2txy(&status);
+ t_cal2jd(&status);
+ t_cp(&status);
+ t_cpv(&status);
+ t_cr(&status);
+ t_d2dtf(&status);
+ t_d2tf(&status);
+ t_dat(&status);
+ t_dtdb(&status);
+ t_dtf2d(&status);
+ t_eceq06(&status);
+ t_ecm06(&status);
+ t_ee00(&status);
+ t_ee00a(&status);
+ t_ee00b(&status);
+ t_ee06a(&status);
+ t_eect00(&status);
+ t_eform(&status);
+ t_eo06a(&status);
+ t_eors(&status);
+ t_epb(&status);
+ t_epb2jd(&status);
+ t_epj(&status);
+ t_epj2jd(&status);
+ t_epv00(&status);
+ t_eqec06(&status);
+ t_eqeq94(&status);
+ t_era00(&status);
+ t_fad03(&status);
+ t_fae03(&status);
+ t_faf03(&status);
+ t_faju03(&status);
+ t_fal03(&status);
+ t_falp03(&status);
+ t_fama03(&status);
+ t_fame03(&status);
+ t_fane03(&status);
+ t_faom03(&status);
+ t_fapa03(&status);
+ t_fasa03(&status);
+ t_faur03(&status);
+ t_fave03(&status);
+ t_fk425(&status);
+ t_fk45z(&status);
+ t_fk524(&status);
+ t_fk52h(&status);
+ t_fk54z(&status);
+ t_fk5hip(&status);
+ t_fk5hz(&status);
+ t_fw2m(&status);
+ t_fw2xy(&status);
+ t_g2icrs(&status);
+ t_gc2gd(&status);
+ t_gc2gde(&status);
+ t_gd2gc(&status);
+ t_gd2gce(&status);
+ t_gmst00(&status);
+ t_gmst06(&status);
+ t_gmst82(&status);
+ t_gst00a(&status);
+ t_gst00b(&status);
+ t_gst06(&status);
+ t_gst06a(&status);
+ t_gst94(&status);
+ t_h2fk5(&status);
+ t_hd2ae(&status);
+ t_hd2pa(&status);
+ t_hfk5z(&status);
+ t_icrs2g(&status);
+ t_ir(&status);
+ t_jd2cal(&status);
+ t_jdcalf(&status);
+ t_ld(&status);
+ t_ldn(&status);
+ t_ldsun(&status);
+ t_lteceq(&status);
+ t_ltecm(&status);
+ t_lteqec(&status);
+ t_ltp(&status);
+ t_ltpb(&status);
+ t_ltpecl(&status);
+ t_ltpequ(&status);
+ t_moon98(&status);
+ t_num00a(&status);
+ t_num00b(&status);
+ t_num06a(&status);
+ t_numat(&status);
+ t_nut00a(&status);
+ t_nut00b(&status);
+ t_nut06a(&status);
+ t_nut80(&status);
+ t_nutm80(&status);
+ t_obl06(&status);
+ t_obl80(&status);
+ t_p06e(&status);
+ t_p2pv(&status);
+ t_p2s(&status);
+ t_pap(&status);
+ t_pas(&status);
+ t_pb06(&status);
+ t_pdp(&status);
+ t_pfw06(&status);
+ t_plan94(&status);
+ t_pmat00(&status);
+ t_pmat06(&status);
+ t_pmat76(&status);
+ t_pm(&status);
+ t_pmp(&status);
+ t_pmpx(&status);
+ t_pmsafe(&status);
+ t_pn(&status);
+ t_pn00(&status);
+ t_pn00a(&status);
+ t_pn00b(&status);
+ t_pn06a(&status);
+ t_pn06(&status);
+ t_pnm00a(&status);
+ t_pnm00b(&status);
+ t_pnm06a(&status);
+ t_pnm80(&status);
+ t_pom00(&status);
+ t_ppp(&status);
+ t_ppsp(&status);
+ t_pr00(&status);
+ t_prec76(&status);
+ t_pv2p(&status);
+ t_pv2s(&status);
+ t_pvdpv(&status);
+ t_pvm(&status);
+ t_pvmpv(&status);
+ t_pvppv(&status);
+ t_pvstar(&status);
+ t_pvtob(&status);
+ t_pvu(&status);
+ t_pvup(&status);
+ t_pvxpv(&status);
+ t_pxp(&status);
+ t_refco(&status);
+ t_rm2v(&status);
+ t_rv2m(&status);
+ t_rx(&status);
+ t_rxp(&status);
+ t_rxpv(&status);
+ t_rxr(&status);
+ t_ry(&status);
+ t_rz(&status);
+ t_s00a(&status);
+ t_s00b(&status);
+ t_s00(&status);
+ t_s06a(&status);
+ t_s06(&status);
+ t_s2c(&status);
+ t_s2p(&status);
+ t_s2pv(&status);
+ t_s2xpv(&status);
+ t_sepp(&status);
+ t_seps(&status);
+ t_sp00(&status);
+ t_starpm(&status);
+ t_starpv(&status);
+ t_sxp(&status);
+ t_sxpv(&status);
+ t_taitt(&status);
+ t_taiut1(&status);
+ t_taiutc(&status);
+ t_tcbtdb(&status);
+ t_tcgtt(&status);
+ t_tdbtcb(&status);
+ t_tdbtt(&status);
+ t_tf2a(&status);
+ t_tf2d(&status);
+ t_tpors(&status);
+ t_tporv(&status);
+ t_tpsts(&status);
+ t_tpstv(&status);
+ t_tpxes(&status);
+ t_tpxev(&status);
+ t_tr(&status);
+ t_trxp(&status);
+ t_trxpv(&status);
+ t_tttai(&status);
+ t_tttcg(&status);
+ t_tttdb(&status);
+ t_ttut1(&status);
+ t_ut1tai(&status);
+ t_ut1tt(&status) ;
+ t_ut1utc(&status);
+ t_utctai(&status);
+ t_utcut1(&status);
+ t_xy06(&status);
+ t_xys00a(&status);
+ t_xys00b(&status);
+ t_xys06a(&status);
+ t_zp(&status);
+ t_zpv(&status);
+ t_zr(&status);
+
+/* Report, set up an appropriate exit status, and finish. */
+ if (status) {
+ printf("t_erfa_c validation failed!\n");
+ } else {
+ printf("t_erfa_c validation successful\n");
+ }
+ return status;
+}
+
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/t_erfa_c_extra.c b/src/detail/erfa/t_erfa_c_extra.c
new file mode 100644
index 000000000..be6860f19
--- /dev/null
+++ b/src/detail/erfa/t_erfa_c_extra.c
@@ -0,0 +1,181 @@
+/*
+** Copyright (C) 2019, NumFOCUS Foundation.
+**
+** Licensed under a 3-clause BSD style license - see LICENSE
+**
+** This file is NOT derived from SOFA sources.
+*/
+
+#include <stdio.h>
+#include <string.h>
+#include <erfa.h>
+#include <erfaextra.h>
+
+static int verbose = 0;
+
+/*
+**
+** Validate the ERFA C functions that are not derived from SOFA (SOFA-derived tests are in t_erfa_c)
+**
+*/
+
+static void t_versions(int *status)
+/*
+** Test that the version-checking functions yield something.
+*/
+{
+ char buf[3];
+ char* res;
+ const char* version_str = eraVersion();
+
+ sprintf(buf, "%d", eraVersionMajor());
+ res = strstr(version_str, buf);
+ if (!res) {
+ *status = 1;
+ printf("t_versions failed - major version not in version string %s\n", version_str);
+ }
+
+ sprintf(buf, "%d", eraVersionMinor());
+ res = strstr(version_str, buf);
+ if (!res) {
+ *status = 1;
+ printf("t_versions failed - minor version not in version string %s\n", version_str);
+ }
+
+ sprintf(buf, "%d", eraVersionMicro());
+ res = strstr(version_str, buf);
+ if (!res) {
+ *status = 1;
+ printf("t_versions failed - micro version not in version string %s\n", version_str);
+ }
+
+ if (*status == 0) {
+ printf("t_versions passed\n");
+ }
+
+}
+
+static void t_leap_seconds(int *status)
+/*
+** Test that the leap-second machinery yields something
+*/
+{
+ int count_init, count_postset, count_postreset;
+ eraLEAPSECOND* leapseconds_init;
+ eraLEAPSECOND* leapseconds_postset;
+ eraLEAPSECOND* leapseconds_postreset;
+
+ eraLEAPSECOND fake_leapsecond[1] = {{ 2050, 5, 55.0 }};
+
+ count_init = eraGetLeapSeconds(&leapseconds_init);
+
+ eraSetLeapSeconds(fake_leapsecond, 1);
+ count_postset = eraGetLeapSeconds(&leapseconds_postset);
+
+ if (count_postset == 1) {
+ printf("t_leap_seconds set passed\n");
+ } else {
+ *status = 1;
+ printf("t_leap_seconds set failed - leap second table has %d entries instead of %d\n", count_postset, 1);
+ }
+
+ eraSetLeapSeconds(fake_leapsecond, -1);
+ count_postreset = eraGetLeapSeconds(&leapseconds_postreset);
+
+ if (count_postreset == count_init) {
+ printf("t_leap_seconds reset passed\n");
+ } else {
+ *status = 1;
+ printf("t_leap_seconds reset failed - leap second table has %d entries instead of %d\n", count_postreset, count_init);
+ }
+}
+
+int main(int argc, char *argv[])
+{
+ int status;
+
+
+/* If any command-line argument, switch to verbose reporting. */
+ if (argc > 1) {
+ verbose = 1;
+ argv[0][0] += 0; /* to avoid compiler warnings */
+ }
+
+/* Preset the &status to FALSE = success. */
+ status = 0;
+
+/* Test all of the extra functions. */
+ t_versions(&status);
+ t_leap_seconds(&status);
+
+/* Report, set up an appropriate exit status, and finish. */
+ if (status) {
+ printf("t_erfa_c_extra validation failed!\n");
+ } else {
+ printf("t_erfa_c_extra validation successful\n");
+ }
+ return status;
+}
+
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/taitt.c b/src/detail/erfa/taitt.c
new file mode 100644
index 000000000..67b7afd55
--- /dev/null
+++ b/src/detail/erfa/taitt.c
@@ -0,0 +1,124 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraTaitt(double tai1, double tai2, double *tt1, double *tt2)
+/*
+** - - - - - - - - -
+** e r a T a i t t
+** - - - - - - - - -
+**
+** Time scale transformation: International Atomic Time, TAI, to
+** Terrestrial Time, TT.
+**
+** Given:
+** tai1,tai2 double TAI as a 2-part Julian Date
+**
+** Returned:
+** tt1,tt2 double TT as a 2-part Julian Date
+**
+** Returned (function value):
+** int status: 0 = OK
+**
+** Note:
+**
+** tai1+tai2 is Julian Date, apportioned in any convenient way
+** between the two arguments, for example where tai1 is the Julian
+** Day Number and tai2 is the fraction of a day. The returned
+** tt1,tt2 follow suit.
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+
+/* TT minus TAI (days). */
+ static const double dtat = ERFA_TTMTAI/ERFA_DAYSEC;
+
+
+/* Result, safeguarding precision. */
+ if ( fabs(tai1) > fabs(tai2) ) {
+ *tt1 = tai1;
+ *tt2 = tai2 + dtat;
+ } else {
+ *tt1 = tai1 + dtat;
+ *tt2 = tai2;
+ }
+
+/* Status (always OK). */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/taiut1.c b/src/detail/erfa/taiut1.c
new file mode 100644
index 000000000..d4c1ba219
--- /dev/null
+++ b/src/detail/erfa/taiut1.c
@@ -0,0 +1,125 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraTaiut1(double tai1, double tai2, double dta,
+ double *ut11, double *ut12)
+/*
+** - - - - - - - - - -
+** e r a T a i u t 1
+** - - - - - - - - - -
+**
+** Time scale transformation: International Atomic Time, TAI, to
+** Universal Time, UT1.
+**
+** Given:
+** tai1,tai2 double TAI as a 2-part Julian Date
+** dta double UT1-TAI in seconds
+**
+** Returned:
+** ut11,ut12 double UT1 as a 2-part Julian Date
+**
+** Returned (function value):
+** int status: 0 = OK
+**
+** Notes:
+**
+** 1) tai1+tai2 is Julian Date, apportioned in any convenient way
+** between the two arguments, for example where tai1 is the Julian
+** Day Number and tai2 is the fraction of a day. The returned
+** UT11,UT12 follow suit.
+**
+** 2) The argument dta, i.e. UT1-TAI, is an observed quantity, and is
+** available from IERS tabulations.
+**
+** Reference:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double dtad;
+
+
+/* Result, safeguarding precision. */
+ dtad = dta / ERFA_DAYSEC;
+ if ( fabs(tai1) > fabs(tai2) ) {
+ *ut11 = tai1;
+ *ut12 = tai2 + dtad;
+ } else {
+ *ut11 = tai1 + dtad;
+ *ut12 = tai2;
+ }
+
+/* Status (always OK). */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/taiutc.c b/src/detail/erfa/taiutc.c
new file mode 100644
index 000000000..dab98ddb1
--- /dev/null
+++ b/src/detail/erfa/taiutc.c
@@ -0,0 +1,172 @@
+#include "erfa.h"
+
+int eraTaiutc(double tai1, double tai2, double *utc1, double *utc2)
+/*
+** - - - - - - - - - -
+** e r a T a i u t c
+** - - - - - - - - - -
+**
+** Time scale transformation: International Atomic Time, TAI, to
+** Coordinated Universal Time, UTC.
+**
+** Given:
+** tai1,tai2 double TAI as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** utc1,utc2 double UTC as a 2-part quasi Julian Date (Notes 1-3)
+**
+** Returned (function value):
+** int status: +1 = dubious year (Note 4)
+** 0 = OK
+** -1 = unacceptable date
+**
+** Notes:
+**
+** 1) tai1+tai2 is Julian Date, apportioned in any convenient way
+** between the two arguments, for example where tai1 is the Julian
+** Day Number and tai2 is the fraction of a day. The returned utc1
+** and utc2 form an analogous pair, except that a special convention
+** is used, to deal with the problem of leap seconds - see the next
+** note.
+**
+** 2) JD cannot unambiguously represent UTC during a leap second unless
+** special measures are taken. The convention in the present
+** function is that the JD day represents UTC days whether the
+** length is 86399, 86400 or 86401 SI seconds. In the 1960-1972 era
+** there were smaller jumps (in either direction) each time the
+** linear UTC(TAI) expression was changed, and these "mini-leaps"
+** are also included in the ERFA convention.
+**
+** 3) The function eraD2dtf can be used to transform the UTC quasi-JD
+** into calendar date and clock time, including UTC leap second
+** handling.
+**
+** 4) The warning status "dubious year" flags UTCs that predate the
+** introduction of the time scale or that are too far in the future
+** to be trusted. See eraDat for further details.
+**
+** Called:
+** eraUtctai UTC to TAI
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int big1;
+ int i, j;
+ double a1, a2, u1, u2, g1, g2;
+
+
+/* Put the two parts of the TAI into big-first order. */
+ big1 = ( fabs(tai1) >= fabs(tai2) );
+ if ( big1 ) {
+ a1 = tai1;
+ a2 = tai2;
+ } else {
+ a1 = tai2;
+ a2 = tai1;
+ }
+
+/* Initial guess for UTC. */
+ u1 = a1;
+ u2 = a2;
+
+/* Iterate (though in most cases just once is enough). */
+ for ( i = 0; i < 3; i++ ) {
+
+ /* Guessed UTC to TAI. */
+ j = eraUtctai(u1, u2, &g1, &g2);
+ if ( j < 0 ) return j;
+
+ /* Adjust guessed UTC. */
+ u2 += a1 - g1;
+ u2 += a2 - g2;
+ }
+
+/* Return the UTC result, preserving the TAI order. */
+ if ( big1 ) {
+ *utc1 = u1;
+ *utc2 = u2;
+ } else {
+ *utc1 = u2;
+ *utc2 = u1;
+ }
+
+/* Status. */
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tcbtdb.c b/src/detail/erfa/tcbtdb.c
new file mode 100644
index 000000000..6e3b9448f
--- /dev/null
+++ b/src/detail/erfa/tcbtdb.c
@@ -0,0 +1,146 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraTcbtdb(double tcb1, double tcb2, double *tdb1, double *tdb2)
+/*
+** - - - - - - - - - -
+** e r a T c b t d b
+** - - - - - - - - - -
+**
+** Time scale transformation: Barycentric Coordinate Time, TCB, to
+** Barycentric Dynamical Time, TDB.
+**
+** Given:
+** tcb1,tcb2 double TCB as a 2-part Julian Date
+**
+** Returned:
+** tdb1,tdb2 double TDB as a 2-part Julian Date
+**
+** Returned (function value):
+** int status: 0 = OK
+**
+** Notes:
+**
+** 1) tcb1+tcb2 is Julian Date, apportioned in any convenient way
+** between the two arguments, for example where tcb1 is the Julian
+** Day Number and tcb2 is the fraction of a day. The returned
+** tdb1,tdb2 follow suit.
+**
+** 2) The 2006 IAU General Assembly introduced a conventional linear
+** transformation between TDB and TCB. This transformation
+** compensates for the drift between TCB and terrestrial time TT,
+** and keeps TDB approximately centered on TT. Because the
+** relationship between TT and TCB depends on the adopted solar
+** system ephemeris, the degree of alignment between TDB and TT over
+** long intervals will vary according to which ephemeris is used.
+** Former definitions of TDB attempted to avoid this problem by
+** stipulating that TDB and TT should differ only by periodic
+** effects. This is a good description of the nature of the
+** relationship but eluded precise mathematical formulation. The
+** conventional linear relationship adopted in 2006 sidestepped
+** these difficulties whilst delivering a TDB that in practice was
+** consistent with values before that date.
+**
+** 3) TDB is essentially the same as Teph, the time argument for the
+** JPL solar system ephemerides.
+**
+** Reference:
+**
+** IAU 2006 Resolution B3
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+
+/* 1977 Jan 1 00:00:32.184 TT, as two-part JD */
+ static const double t77td = ERFA_DJM0 + ERFA_DJM77;
+ static const double t77tf = ERFA_TTMTAI/ERFA_DAYSEC;
+
+/* TDB (days) at TAI 1977 Jan 1.0 */
+ static const double tdb0 = ERFA_TDB0/ERFA_DAYSEC;
+
+ double d;
+
+
+/* Result, safeguarding precision. */
+ if ( fabs(tcb1) > fabs(tcb2) ) {
+ d = tcb1 - t77td;
+ *tdb1 = tcb1;
+ *tdb2 = tcb2 + tdb0 - ( d + ( tcb2 - t77tf ) ) * ERFA_ELB;
+ } else {
+ d = tcb2 - t77td;
+ *tdb1 = tcb1 + tdb0 - ( d + ( tcb1 - t77tf ) ) * ERFA_ELB;
+ *tdb2 = tcb2;
+ }
+
+/* Status (always OK). */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tcgtt.c b/src/detail/erfa/tcgtt.c
new file mode 100644
index 000000000..4d9028703
--- /dev/null
+++ b/src/detail/erfa/tcgtt.c
@@ -0,0 +1,123 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraTcgtt(double tcg1, double tcg2, double *tt1, double *tt2)
+/*
+** - - - - - - - - -
+** e r a T c g t t
+** - - - - - - - - -
+**
+** Time scale transformation: Geocentric Coordinate Time, TCG, to
+** Terrestrial Time, TT.
+**
+** Given:
+** tcg1,tcg2 double TCG as a 2-part Julian Date
+**
+** Returned:
+** tt1,tt2 double TT as a 2-part Julian Date
+**
+** Returned (function value):
+** int status: 0 = OK
+**
+** Note:
+**
+** tcg1+tcg2 is Julian Date, apportioned in any convenient way
+** between the two arguments, for example where tcg1 is the Julian
+** Day Number and tcg22 is the fraction of a day. The returned
+** tt1,tt2 follow suit.
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** IAU 2000 Resolution B1.9
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+
+/* 1977 Jan 1 00:00:32.184 TT, as MJD */
+ static const double t77t = ERFA_DJM77 + ERFA_TTMTAI/ERFA_DAYSEC;
+
+
+/* Result, safeguarding precision. */
+ if ( fabs(tcg1) > fabs(tcg2) ) {
+ *tt1 = tcg1;
+ *tt2 = tcg2 - ( ( tcg1 - ERFA_DJM0 ) + ( tcg2 - t77t ) ) * ERFA_ELG;
+ } else {
+ *tt1 = tcg1 - ( ( tcg2 - ERFA_DJM0 ) + ( tcg1 - t77t ) ) * ERFA_ELG;
+ *tt2 = tcg2;
+ }
+
+/* OK status. */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tdbtcb.c b/src/detail/erfa/tdbtcb.c
new file mode 100644
index 000000000..2cc208d04
--- /dev/null
+++ b/src/detail/erfa/tdbtcb.c
@@ -0,0 +1,151 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraTdbtcb(double tdb1, double tdb2, double *tcb1, double *tcb2)
+/*
+** - - - - - - - - - -
+** e r a T d b t c b
+** - - - - - - - - - -
+**
+** Time scale transformation: Barycentric Dynamical Time, TDB, to
+** Barycentric Coordinate Time, TCB.
+**
+** Given:
+** tdb1,tdb2 double TDB as a 2-part Julian Date
+**
+** Returned:
+** tcb1,tcb2 double TCB as a 2-part Julian Date
+**
+** Returned (function value):
+** int status: 0 = OK
+**
+** Notes:
+**
+** 1) tdb1+tdb2 is Julian Date, apportioned in any convenient way
+** between the two arguments, for example where tdb1 is the Julian
+** Day Number and tdb2 is the fraction of a day. The returned
+** tcb1,tcb2 follow suit.
+**
+** 2) The 2006 IAU General Assembly introduced a conventional linear
+** transformation between TDB and TCB. This transformation
+** compensates for the drift between TCB and terrestrial time TT,
+** and keeps TDB approximately centered on TT. Because the
+** relationship between TT and TCB depends on the adopted solar
+** system ephemeris, the degree of alignment between TDB and TT over
+** long intervals will vary according to which ephemeris is used.
+** Former definitions of TDB attempted to avoid this problem by
+** stipulating that TDB and TT should differ only by periodic
+** effects. This is a good description of the nature of the
+** relationship but eluded precise mathematical formulation. The
+** conventional linear relationship adopted in 2006 sidestepped
+** these difficulties whilst delivering a TDB that in practice was
+** consistent with values before that date.
+**
+** 3) TDB is essentially the same as Teph, the time argument for the
+** JPL solar system ephemerides.
+**
+** Reference:
+**
+** IAU 2006 Resolution B3
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+
+/* 1977 Jan 1 00:00:32.184 TT, as two-part JD */
+ static const double t77td = ERFA_DJM0 + ERFA_DJM77;
+ static const double t77tf = ERFA_TTMTAI/ERFA_DAYSEC;
+
+/* TDB (days) at TAI 1977 Jan 1.0 */
+ static const double tdb0 = ERFA_TDB0/ERFA_DAYSEC;
+
+/* TDB to TCB rate */
+ static const double elbb = ERFA_ELB/(1.0-ERFA_ELB);
+
+ double d, f;
+
+
+/* Result, preserving date format but safeguarding precision. */
+ if ( fabs(tdb1) > fabs(tdb2) ) {
+ d = t77td - tdb1;
+ f = tdb2 - tdb0;
+ *tcb1 = tdb1;
+ *tcb2 = f - ( d - ( f - t77tf ) ) * elbb;
+ } else {
+ d = t77td - tdb2;
+ f = tdb1 - tdb0;
+ *tcb1 = f - ( d - ( f - t77tf ) ) * elbb;
+ *tcb2 = tdb2;
+ }
+
+/* Status (always OK). */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tdbtt.c b/src/detail/erfa/tdbtt.c
new file mode 100644
index 000000000..eb484040f
--- /dev/null
+++ b/src/detail/erfa/tdbtt.c
@@ -0,0 +1,135 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraTdbtt(double tdb1, double tdb2, double dtr,
+ double *tt1, double *tt2 )
+/*
+** - - - - - - - - -
+** e r a T d b t t
+** - - - - - - - - -
+**
+** Time scale transformation: Barycentric Dynamical Time, TDB, to
+** Terrestrial Time, TT.
+**
+** Given:
+** tdb1,tdb2 double TDB as a 2-part Julian Date
+** dtr double TDB-TT in seconds
+**
+** Returned:
+** tt1,tt2 double TT as a 2-part Julian Date
+**
+** Returned (function value):
+** int status: 0 = OK
+**
+** Notes:
+**
+** 1) tdb1+tdb2 is Julian Date, apportioned in any convenient way
+** between the two arguments, for example where tdb1 is the Julian
+** Day Number and tdb2 is the fraction of a day. The returned
+** tt1,tt2 follow suit.
+**
+** 2) The argument dtr represents the quasi-periodic component of the
+** GR transformation between TT and TCB. It is dependent upon the
+** adopted solar-system ephemeris, and can be obtained by numerical
+** integration, by interrogating a precomputed time ephemeris or by
+** evaluating a model such as that implemented in the ERFA function
+** eraDtdb. The quantity is dominated by an annual term of 1.7 ms
+** amplitude.
+**
+** 3) TDB is essentially the same as Teph, the time argument for the
+** JPL solar system ephemerides.
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** IAU 2006 Resolution 3
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double dtrd;
+
+
+/* Result, safeguarding precision. */
+ dtrd = dtr / ERFA_DAYSEC;
+ if ( fabs(tdb1) > fabs(tdb2) ) {
+ *tt1 = tdb1;
+ *tt2 = tdb2 - dtrd;
+ } else {
+ *tt1 = tdb1 - dtrd;
+ *tt2 = tdb2;
+ }
+
+/* Status (always OK). */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tf2a.c b/src/detail/erfa/tf2a.c
new file mode 100644
index 000000000..0903d6a1f
--- /dev/null
+++ b/src/detail/erfa/tf2a.c
@@ -0,0 +1,121 @@
+#include "erfa.h"
+#include "erfam.h"
+#include <stdlib.h>
+
+int eraTf2a(char s, int ihour, int imin, double sec, double *rad)
+/*
+** - - - - - - - -
+** e r a T f 2 a
+** - - - - - - - -
+**
+** Convert hours, minutes, seconds to radians.
+**
+** Given:
+** s char sign: '-' = negative, otherwise positive
+** ihour int hours
+** imin int minutes
+** sec double seconds
+**
+** Returned:
+** rad double angle in radians
+**
+** Returned (function value):
+** int status: 0 = OK
+** 1 = ihour outside range 0-23
+** 2 = imin outside range 0-59
+** 3 = sec outside range 0-59.999...
+**
+** Notes:
+**
+** 1) The result is computed even if any of the range checks fail.
+**
+** 2) Negative ihour, imin and/or sec produce a warning status, but
+** the absolute value is used in the conversion.
+**
+** 3) If there are multiple errors, the status value reflects only the
+** first, the smallest taking precedence.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+
+/* Compute the interval. */
+ *rad = ( s == '-' ? -1.0 : 1.0 ) *
+ ( 60.0 * ( 60.0 * ( (double) abs(ihour) ) +
+ ( (double) abs(imin) ) ) +
+ fabs(sec) ) * ERFA_DS2R;
+
+/* Validate arguments and return status. */
+ if ( ihour < 0 || ihour > 23 ) return 1;
+ if ( imin < 0 || imin > 59 ) return 2;
+ if ( sec < 0.0 || sec >= 60.0 ) return 3;
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tf2d.c b/src/detail/erfa/tf2d.c
new file mode 100644
index 000000000..d5042968a
--- /dev/null
+++ b/src/detail/erfa/tf2d.c
@@ -0,0 +1,121 @@
+#include "erfa.h"
+#include "erfam.h"
+#include <stdlib.h>
+
+int eraTf2d(char s, int ihour, int imin, double sec, double *days)
+/*
+** - - - - - - - -
+** e r a T f 2 d
+** - - - - - - - -
+**
+** Convert hours, minutes, seconds to days.
+**
+** Given:
+** s char sign: '-' = negative, otherwise positive
+** ihour int hours
+** imin int minutes
+** sec double seconds
+**
+** Returned:
+** days double interval in days
+**
+** Returned (function value):
+** int status: 0 = OK
+** 1 = ihour outside range 0-23
+** 2 = imin outside range 0-59
+** 3 = sec outside range 0-59.999...
+**
+** Notes:
+**
+** 1) The result is computed even if any of the range checks fail.
+**
+** 2) Negative ihour, imin and/or sec produce a warning status, but
+** the absolute value is used in the conversion.
+**
+** 3) If there are multiple errors, the status value reflects only the
+** first, the smallest taking precedence.
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+
+/* Compute the interval. */
+ *days = ( s == '-' ? -1.0 : 1.0 ) *
+ ( 60.0 * ( 60.0 * ( (double) abs(ihour) ) +
+ ( (double) abs(imin) ) ) +
+ fabs(sec) ) / ERFA_DAYSEC;
+
+/* Validate arguments and return status. */
+ if ( ihour < 0 || ihour > 23 ) return 1;
+ if ( imin < 0 || imin > 59 ) return 2;
+ if ( sec < 0.0 || sec >= 60.0 ) return 3;
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tpors.c b/src/detail/erfa/tpors.c
new file mode 100644
index 000000000..0e07acce2
--- /dev/null
+++ b/src/detail/erfa/tpors.c
@@ -0,0 +1,183 @@
+#include "erfa.h"
+
+int eraTpors(double xi, double eta, double a, double b,
+ double *a01, double *b01, double *a02, double *b02)
+/*
+** - - - - - - - - -
+** e r a T p o r s
+** - - - - - - - - -
+**
+** In the tangent plane projection, given the rectangular coordinates
+** of a star and its spherical coordinates, determine the spherical
+** coordinates of the tangent point.
+**
+** Given:
+** xi,eta double rectangular coordinates of star image (Note 2)
+** a,b double star's spherical coordinates (Note 3)
+**
+** Returned:
+** *a01,*b01 double tangent point's spherical coordinates, Soln. 1
+** *a02,*b02 double tangent point's spherical coordinates, Soln. 2
+**
+** Returned (function value):
+** int number of solutions:
+** 0 = no solutions returned (Note 5)
+** 1 = only the first solution is useful (Note 6)
+** 2 = both solutions are useful (Note 6)
+**
+** Notes:
+**
+** 1) The tangent plane projection is also called the "gnomonic
+** projection" and the "central projection".
+**
+** 2) The eta axis points due north in the adopted coordinate system.
+** If the spherical coordinates are observed (RA,Dec), the tangent
+** plane coordinates (xi,eta) are conventionally called the
+** "standard coordinates". If the spherical coordinates are with
+** respect to a right-handed triad, (xi,eta) are also right-handed.
+** The units of (xi,eta) are, effectively, radians at the tangent
+** point.
+**
+** 3) All angular arguments are in radians.
+**
+** 4) The angles a01 and a02 are returned in the range 0-2pi. The
+** angles b01 and b02 are returned in the range +/-pi, but in the
+** usual, non-pole-crossing, case, the range is +/-pi/2.
+**
+** 5) Cases where there is no solution can arise only near the poles.
+** For example, it is clearly impossible for a star at the pole
+** itself to have a non-zero xi value, and hence it is meaningless
+** to ask where the tangent point would have to be to bring about
+** this combination of xi and dec.
+**
+** 6) Also near the poles, cases can arise where there are two useful
+** solutions. The return value indicates whether the second of the
+** two solutions returned is useful; 1 indicates only one useful
+** solution, the usual case.
+**
+** 7) The basis of the algorithm is to solve the spherical triangle PSC,
+** where P is the north celestial pole, S is the star and C is the
+** tangent point. The spherical coordinates of the tangent point are
+** [a0,b0]; writing rho^2 = (xi^2+eta^2) and r^2 = (1+rho^2), side c
+** is then (pi/2-b), side p is sqrt(xi^2+eta^2) and side s (to be
+** found) is (pi/2-b0). Angle C is given by sin(C) = xi/rho and
+** cos(C) = eta/rho. Angle P (to be found) is the longitude
+** difference between star and tangent point (a-a0).
+**
+** 8) This function is a member of the following set:
+**
+** spherical vector solve for
+**
+** eraTpxes eraTpxev xi,eta
+** eraTpsts eraTpstv star
+** > eraTpors < eraTporv origin
+**
+** Called:
+** eraAnp normalize angle into range 0 to 2pi
+**
+** References:
+**
+** Calabretta M.R. & Greisen, E.W., 2002, "Representations of
+** celestial coordinates in FITS", Astron.Astrophys. 395, 1077
+**
+** Green, R.M., "Spherical Astronomy", Cambridge University Press,
+** 1987, Chapter 13.
+**
+** This revision: 2018 January 2
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double xi2, r, sb, cb, rsb, rcb, w2, w, s, c;
+
+
+ xi2 = xi*xi;
+ r = sqrt(1.0 + xi2 + eta*eta);
+ sb = sin(b);
+ cb = cos(b);
+ rsb = r*sb;
+ rcb = r*cb;
+ w2 = rcb*rcb - xi2;
+ if ( w2 >= 0.0 ) {
+ w = sqrt(w2);
+ s = rsb - eta*w;
+ c = rsb*eta + w;
+ if ( xi == 0.0 && w == 0.0 ) w = 1.0;
+ *a01 = eraAnp(a - atan2(xi,w));
+ *b01 = atan2(s,c);
+ w = -w;
+ s = rsb - eta*w;
+ c = rsb*eta + w;
+ *a02 = eraAnp(a - atan2(xi,w));
+ *b02 = atan2(s,c);
+ return (fabs(rsb) < 1.0) ? 1 : 2;
+ } else {
+ return 0;
+ }
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tporv.c b/src/detail/erfa/tporv.c
new file mode 100644
index 000000000..e25306066
--- /dev/null
+++ b/src/detail/erfa/tporv.c
@@ -0,0 +1,180 @@
+#include "erfa.h"
+
+int eraTporv(double xi, double eta, double v[3],
+ double v01[3], double v02[3])
+/*
+** - - - - - - - - -
+** e r a T p o r v
+** - - - - - - - - -
+**
+** In the tangent plane projection, given the rectangular coordinates
+** of a star and its direction cosines, determine the direction
+** cosines of the tangent point.
+**
+** Given:
+** xi,eta double rectangular coordinates of star image (Note 2)
+** v double[3] star's direction cosines (Note 3)
+**
+** Returned:
+** v01 double[3] tangent point's direction cosines, Solution 1
+** v02 double[3] tangent point's direction cosines, Solution 2
+**
+** Returned (function value):
+** int number of solutions:
+** 0 = no solutions returned (Note 4)
+** 1 = only the first solution is useful (Note 5)
+** 2 = both solutions are useful (Note 5)
+**
+** Notes:
+**
+** 1) The tangent plane projection is also called the "gnomonic
+** projection" and the "central projection".
+**
+** 2) The eta axis points due north in the adopted coordinate system.
+** If the direction cosines represent observed (RA,Dec), the tangent
+** plane coordinates (xi,eta) are conventionally called the
+** "standard coordinates". If the direction cosines are with
+** respect to a right-handed triad, (xi,eta) are also right-handed.
+** The units of (xi,eta) are, effectively, radians at the tangent
+** point.
+**
+** 3) The vector v must be of unit length or the result will be wrong.
+**
+** 4) Cases where there is no solution can arise only near the poles.
+** For example, it is clearly impossible for a star at the pole
+** itself to have a non-zero xi value, and hence it is meaningless
+** to ask where the tangent point would have to be.
+**
+** 5) Also near the poles, cases can arise where there are two useful
+** solutions. The return value indicates whether the second of the
+** two solutions returned is useful; 1 indicates only one useful
+** solution, the usual case.
+**
+** 6) The basis of the algorithm is to solve the spherical triangle
+** PSC, where P is the north celestial pole, S is the star and C is
+** the tangent point. Calling the celestial spherical coordinates
+** of the star and tangent point (a,b) and (a0,b0) respectively, and
+** writing rho^2 = (xi^2+eta^2) and r^2 = (1+rho^2), and
+** transforming the vector v into (a,b) in the normal way, side c is
+** then (pi/2-b), side p is sqrt(xi^2+eta^2) and side s (to be
+** found) is (pi/2-b0), while angle C is given by sin(C) = xi/rho
+** and cos(C) = eta/rho; angle P (to be found) is (a-a0). After
+** solving the spherical triangle, the result (a0,b0) can be
+** expressed in vector form as v0.
+**
+** 7) This function is a member of the following set:
+**
+** spherical vector solve for
+**
+** eraTpxes eraTpxev xi,eta
+** eraTpsts eraTpstv star
+** eraTpors > eraTporv < origin
+**
+** References:
+**
+** Calabretta M.R. & Greisen, E.W., 2002, "Representations of
+** celestial coordinates in FITS", Astron.Astrophys. 395, 1077
+**
+** Green, R.M., "Spherical Astronomy", Cambridge University Press,
+** 1987, Chapter 13.
+**
+** This revision: 2018 January 2
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double x, y, z, rxy2, xi2, eta2p1, r, rsb, rcb, w2, w, c;
+
+
+ x = v[0];
+ y = v[1];
+ z = v[2];
+ rxy2 = x*x + y*y;
+ xi2 = xi*xi;
+ eta2p1 = eta*eta + 1.0;
+ r = sqrt(xi2 + eta2p1);
+ rsb = r*z;
+ rcb = r*sqrt(x*x + y*y);
+ w2 = rcb*rcb - xi2;
+ if ( w2 > 0.0 ) {
+ w = sqrt(w2);
+ c = (rsb*eta + w) / (eta2p1*sqrt(rxy2*(w2+xi2)));
+ v01[0] = c * (x*w + y*xi);
+ v01[1] = c * (y*w - x*xi);
+ v01[2] = (rsb - eta*w) / eta2p1;
+ w = - w;
+ c = (rsb*eta + w) / (eta2p1*sqrt(rxy2*(w2+xi2)));
+ v02[0] = c * (x*w + y*xi);
+ v02[1] = c * (y*w - x*xi);
+ v02[2] = (rsb - eta*w) / eta2p1;
+ return (fabs(rsb) < 1.0) ? 1 : 2;
+ } else {
+ return 0;
+ }
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tpsts.c b/src/detail/erfa/tpsts.c
new file mode 100644
index 000000000..5e69d65ba
--- /dev/null
+++ b/src/detail/erfa/tpsts.c
@@ -0,0 +1,131 @@
+#include "erfa.h"
+
+void eraTpsts(double xi, double eta, double a0, double b0,
+ double *a, double *b)
+/*
+** - - - - - - - - -
+** e r a T p s t s
+** - - - - - - - - -
+**
+** In the tangent plane projection, given the star's rectangular
+** coordinates and the spherical coordinates of the tangent point,
+** solve for the spherical coordinates of the star.
+**
+** Given:
+** xi,eta double rectangular coordinates of star image (Note 2)
+** a0,b0 double tangent point's spherical coordinates
+**
+** Returned:
+** *a,*b double star's spherical coordinates
+**
+** 1) The tangent plane projection is also called the "gnomonic
+** projection" and the "central projection".
+**
+** 2) The eta axis points due north in the adopted coordinate system.
+** If the spherical coordinates are observed (RA,Dec), the tangent
+** plane coordinates (xi,eta) are conventionally called the
+** "standard coordinates". If the spherical coordinates are with
+** respect to a right-handed triad, (xi,eta) are also right-handed.
+** The units of (xi,eta) are, effectively, radians at the tangent
+** point.
+**
+** 3) All angular arguments are in radians.
+**
+** 4) This function is a member of the following set:
+**
+** spherical vector solve for
+**
+** eraTpxes eraTpxev xi,eta
+** > eraTpsts < eraTpstv star
+** eraTpors eraTporv origin
+**
+** Called:
+** eraAnp normalize angle into range 0 to 2pi
+**
+** References:
+**
+** Calabretta M.R. & Greisen, E.W., 2002, "Representations of
+** celestial coordinates in FITS", Astron.Astrophys. 395, 1077
+**
+** Green, R.M., "Spherical Astronomy", Cambridge University Press,
+** 1987, Chapter 13.
+**
+** This revision: 2018 January 2
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double sb0, cb0, d;
+
+ sb0 = sin(b0);
+ cb0 = cos(b0);
+ d = cb0 - eta*sb0;
+ *a = eraAnp(atan2(xi,d) + a0);
+ *b = atan2(sb0+eta*cb0, sqrt(xi*xi+d*d));
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tpstv.c b/src/detail/erfa/tpstv.c
new file mode 100644
index 000000000..23a940a34
--- /dev/null
+++ b/src/detail/erfa/tpstv.c
@@ -0,0 +1,155 @@
+#include "erfa.h"
+
+void eraTpstv(double xi, double eta, double v0[3], double v[3])
+/*
+** - - - - - - - - -
+** e r a T p s t v
+** - - - - - - - - -
+**
+** In the tangent plane projection, given the star's rectangular
+** coordinates and the direction cosines of the tangent point, solve
+** for the direction cosines of the star.
+**
+** Given:
+** xi,eta double rectangular coordinates of star image (Note 2)
+** v0 double[3] tangent point's direction cosines
+**
+** Returned:
+** v double[3] star's direction cosines
+**
+** 1) The tangent plane projection is also called the "gnomonic
+** projection" and the "central projection".
+**
+** 2) The eta axis points due north in the adopted coordinate system.
+** If the direction cosines represent observed (RA,Dec), the tangent
+** plane coordinates (xi,eta) are conventionally called the
+** "standard coordinates". If the direction cosines are with
+** respect to a right-handed triad, (xi,eta) are also right-handed.
+** The units of (xi,eta) are, effectively, radians at the tangent
+** point.
+**
+** 3) The method used is to complete the star vector in the (xi,eta)
+** based triad and normalize it, then rotate the triad to put the
+** tangent point at the pole with the x-axis aligned to zero
+** longitude. Writing (a0,b0) for the celestial spherical
+** coordinates of the tangent point, the sequence of rotations is
+** (b-pi/2) around the x-axis followed by (-a-pi/2) around the
+** z-axis.
+**
+** 4) If vector v0 is not of unit length, the returned vector v will
+** be wrong.
+**
+** 5) If vector v0 points at a pole, the returned vector v will be
+** based on the arbitrary assumption that the longitude coordinate
+** of the tangent point is zero.
+**
+** 6) This function is a member of the following set:
+**
+** spherical vector solve for
+**
+** eraTpxes eraTpxev xi,eta
+** eraTpsts > eraTpstv < star
+** eraTpors eraTporv origin
+**
+** References:
+**
+** Calabretta M.R. & Greisen, E.W., 2002, "Representations of
+** celestial coordinates in FITS", Astron.Astrophys. 395, 1077
+**
+** Green, R.M., "Spherical Astronomy", Cambridge University Press,
+** 1987, Chapter 13.
+**
+** This revision: 2018 January 2
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double x, y, z, f, r;
+
+
+/* Tangent point. */
+ x = v0[0];
+ y = v0[1];
+ z = v0[2];
+
+/* Deal with polar case. */
+ r = sqrt(x*x + y*y);
+ if ( r == 0.0 ) {
+ r = 1e-20;
+ x = r;
+ }
+
+/* Star vector length to tangent plane. */
+ f = sqrt(1.0 + xi*xi + eta*eta);
+
+/* Apply the transformation and normalize. */
+ v[0] = (x - (xi*y + eta*x*z) / r) / f;
+ v[1] = (y + (xi*x - eta*y*z) / r) / f;
+ v[2] = (z + eta*r) / f;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tpxes.c b/src/detail/erfa/tpxes.c
new file mode 100644
index 000000000..b3985ed5e
--- /dev/null
+++ b/src/detail/erfa/tpxes.c
@@ -0,0 +1,164 @@
+#include "erfa.h"
+
+int eraTpxes(double a, double b, double a0, double b0,
+ double *xi, double *eta)
+/*
+** - - - - - - - - -
+** e r a T p x e s
+** - - - - - - - - -
+**
+** In the tangent plane projection, given celestial spherical
+** coordinates for a star and the tangent point, solve for the star's
+** rectangular coordinates in the tangent plane.
+**
+** Given:
+** a,b double star's spherical coordinates
+** a0,b0 double tangent point's spherical coordinates
+**
+** Returned:
+** *xi,*eta double rectangular coordinates of star image (Note 2)
+**
+** Returned (function value):
+** int status: 0 = OK
+** 1 = star too far from axis
+** 2 = antistar on tangent plane
+** 3 = antistar too far from axis
+**
+** Notes:
+**
+** 1) The tangent plane projection is also called the "gnomonic
+** projection" and the "central projection".
+**
+** 2) The eta axis points due north in the adopted coordinate system.
+** If the spherical coordinates are observed (RA,Dec), the tangent
+** plane coordinates (xi,eta) are conventionally called the
+** "standard coordinates". For right-handed spherical coordinates,
+** (xi,eta) are also right-handed. The units of (xi,eta) are,
+** effectively, radians at the tangent point.
+**
+** 3) All angular arguments are in radians.
+**
+** 4) This function is a member of the following set:
+**
+** spherical vector solve for
+**
+** > eraTpxes < eraTpxev xi,eta
+** eraTpsts eraTpstv star
+** eraTpors eraTporv origin
+**
+** References:
+**
+** Calabretta M.R. & Greisen, E.W., 2002, "Representations of
+** celestial coordinates in FITS", Astron.Astrophys. 395, 1077
+**
+** Green, R.M., "Spherical Astronomy", Cambridge University Press,
+** 1987, Chapter 13.
+**
+** This revision: 2018 January 2
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ const double TINY = 1e-6;
+ int j;
+ double sb0, sb, cb0, cb, da, sda, cda, d;
+
+
+/* Functions of the spherical coordinates. */
+ sb0 = sin(b0);
+ sb = sin(b);
+ cb0 = cos(b0);
+ cb = cos(b);
+ da = a - a0;
+ sda = sin(da);
+ cda = cos(da);
+
+/* Reciprocal of star vector length to tangent plane. */
+ d = sb*sb0 + cb*cb0*cda;
+
+/* Check for error cases. */
+ if ( d > TINY ) {
+ j = 0;
+ } else if ( d >= 0.0 ) {
+ j = 1;
+ d = TINY;
+ } else if ( d > -TINY ) {
+ j = 2;
+ d = -TINY;
+ } else {
+ j = 3;
+ }
+
+/* Return the tangent plane coordinates (even in dubious cases). */
+ *xi = cb*sda / d;
+ *eta = (sb*cb0 - cb*sb0*cda) / d;
+
+/* Return the status. */
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tpxev.c b/src/detail/erfa/tpxev.c
new file mode 100644
index 000000000..e6927211c
--- /dev/null
+++ b/src/detail/erfa/tpxev.c
@@ -0,0 +1,184 @@
+#include "erfa.h"
+
+int eraTpxev(double v[3], double v0[3], double *xi, double *eta)
+/*
+** - - - - - - - - -
+** e r a T p x e v
+** - - - - - - - - -
+**
+** In the tangent plane projection, given celestial direction cosines
+** for a star and the tangent point, solve for the star's rectangular
+** coordinates in the tangent plane.
+**
+** Given:
+** v double[3] direction cosines of star (Note 4)
+** v0 double[3] direction cosines of tangent point (Note 4)
+**
+** Returned:
+** *xi,*eta double tangent plane coordinates of star
+**
+** Returned (function value):
+** int status: 0 = OK
+** 1 = star too far from axis
+** 2 = antistar on tangent plane
+** 3 = antistar too far from axis
+**
+** Notes:
+**
+** 1) The tangent plane projection is also called the "gnomonic
+** projection" and the "central projection".
+**
+** 2) The eta axis points due north in the adopted coordinate system.
+** If the direction cosines represent observed (RA,Dec), the tangent
+** plane coordinates (xi,eta) are conventionally called the
+** "standard coordinates". If the direction cosines are with
+** respect to a right-handed triad, (xi,eta) are also right-handed.
+** The units of (xi,eta) are, effectively, radians at the tangent
+** point.
+**
+** 3) The method used is to extend the star vector to the tangent
+** plane and then rotate the triad so that (x,y) becomes (xi,eta).
+** Writing (a,b) for the celestial spherical coordinates of the
+** star, the sequence of rotations is (a+pi/2) around the z-axis
+** followed by (pi/2-b) around the x-axis.
+**
+** 4) If vector v0 is not of unit length, or if vector v is of zero
+** length, the results will be wrong.
+**
+** 5) If v0 points at a pole, the returned (xi,eta) will be based on
+** the arbitrary assumption that the longitude coordinate of the
+** tangent point is zero.
+**
+** 6) This function is a member of the following set:
+**
+** spherical vector solve for
+**
+** eraTpxes > eraTpxev < xi,eta
+** eraTpsts eraTpstv star
+** eraTpors eraTporv origin
+**
+** References:
+**
+** Calabretta M.R. & Greisen, E.W., 2002, "Representations of
+** celestial coordinates in FITS", Astron.Astrophys. 395, 1077
+**
+** Green, R.M., "Spherical Astronomy", Cambridge University Press,
+** 1987, Chapter 13.
+**
+** This revision: 2018 January 2
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ const double TINY = 1e-6;
+ int j;
+ double x, y, z, x0, y0, z0, r2, r, w, d;
+
+
+/* Star and tangent point. */
+ x = v[0];
+ y = v[1];
+ z = v[2];
+ x0 = v0[0];
+ y0 = v0[1];
+ z0 = v0[2];
+
+/* Deal with polar case. */
+ r2 = x0*x0 + y0*y0;
+ r = sqrt(r2);
+ if ( r == 0.0 ) {
+ r = 1e-20;
+ x0 = r;
+ }
+
+/* Reciprocal of star vector length to tangent plane. */
+ w = x*x0 + y*y0;
+ d = w + z*z0;
+
+/* Check for error cases. */
+ if ( d > TINY ) {
+ j = 0;
+ } else if ( d >= 0.0 ) {
+ j = 1;
+ d = TINY;
+ } else if ( d > -TINY ) {
+ j = 2;
+ d = -TINY;
+ } else {
+ j = 3;
+ }
+
+/* Return the tangent plane coordinates (even in dubious cases). */
+ d *= r;
+ *xi = (y*x0 - x*y0) / d;
+ *eta = (z*r2 - z0*w) / d;
+
+/* Return the status. */
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tr.c b/src/detail/erfa/tr.c
new file mode 100644
index 000000000..714d76d50
--- /dev/null
+++ b/src/detail/erfa/tr.c
@@ -0,0 +1,104 @@
+#include "erfa.h"
+
+void eraTr(double r[3][3], double rt[3][3])
+/*
+** - - - - - -
+** e r a T r
+** - - - - - -
+**
+** Transpose an r-matrix.
+**
+** Given:
+** r double[3][3] r-matrix
+**
+** Returned:
+** rt double[3][3] transpose
+**
+** Note:
+** It is permissible for r and rt to be the same array.
+**
+** Called:
+** eraCr copy r-matrix
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double wm[3][3];
+ int i, j;
+
+
+ for (i = 0; i < 3; i++) {
+ for (j = 0; j < 3; j++) {
+ wm[i][j] = r[j][i];
+ }
+ }
+ eraCr(wm, rt);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/trxp.c b/src/detail/erfa/trxp.c
new file mode 100644
index 000000000..db2c8b52b
--- /dev/null
+++ b/src/detail/erfa/trxp.c
@@ -0,0 +1,104 @@
+#include "erfa.h"
+
+void eraTrxp(double r[3][3], double p[3], double trp[3])
+/*
+** - - - - - - - -
+** e r a T r x p
+** - - - - - - - -
+**
+** Multiply a p-vector by the transpose of an r-matrix.
+**
+** Given:
+** r double[3][3] r-matrix
+** p double[3] p-vector
+**
+** Returned:
+** trp double[3] r^T * p
+**
+** Note:
+** It is permissible for p and trp to be the same array.
+**
+** Called:
+** eraTr transpose r-matrix
+** eraRxp product of r-matrix and p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double tr[3][3];
+
+
+/* Transpose of matrix r. */
+ eraTr(r, tr);
+
+/* Matrix tr * vector p -> vector trp. */
+ eraRxp(tr, p, trp);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/trxpv.c b/src/detail/erfa/trxpv.c
new file mode 100644
index 000000000..9749dfc6a
--- /dev/null
+++ b/src/detail/erfa/trxpv.c
@@ -0,0 +1,110 @@
+#include "erfa.h"
+
+void eraTrxpv(double r[3][3], double pv[2][3], double trpv[2][3])
+/*
+** - - - - - - - - -
+** e r a T r x p v
+** - - - - - - - - -
+**
+** Multiply a pv-vector by the transpose of an r-matrix.
+**
+** Given:
+** r double[3][3] r-matrix
+** pv double[2][3] pv-vector
+**
+** Returned:
+** trpv double[2][3] r^T * pv
+**
+** Notes:
+**
+** 1) The algorithm is for the simple case where the r-matrix r is not
+** a function of time. The case where r is a function of time leads
+** to an additional velocity component equal to the product of the
+** derivative of the transpose of r and the position vector.
+**
+** 2) It is permissible for pv and rpv to be the same array.
+**
+** Called:
+** eraTr transpose r-matrix
+** eraRxpv product of r-matrix and pv-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double tr[3][3];
+
+
+/* Transpose of matrix r. */
+ eraTr(r, tr);
+
+/* Matrix tr * vector pv -> vector trpv. */
+ eraRxpv(tr, pv, trpv);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tttai.c b/src/detail/erfa/tttai.c
new file mode 100644
index 000000000..99cd43ccb
--- /dev/null
+++ b/src/detail/erfa/tttai.c
@@ -0,0 +1,124 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraTttai(double tt1, double tt2, double *tai1, double *tai2)
+/*
+** - - - - - - - - -
+** e r a T t t a i
+** - - - - - - - - -
+**
+** Time scale transformation: Terrestrial Time, TT, to International
+** Atomic Time, TAI.
+**
+** Given:
+** tt1,tt2 double TT as a 2-part Julian Date
+**
+** Returned:
+** tai1,tai2 double TAI as a 2-part Julian Date
+**
+** Returned (function value):
+** int status: 0 = OK
+**
+** Note:
+**
+** tt1+tt2 is Julian Date, apportioned in any convenient way between
+** the two arguments, for example where tt1 is the Julian Day Number
+** and tt2 is the fraction of a day. The returned tai1,tai2 follow
+** suit.
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+
+/* TT minus TAI (days). */
+ static const double dtat = ERFA_TTMTAI/ERFA_DAYSEC;
+
+
+/* Result, safeguarding precision. */
+ if ( fabs(tt1) > fabs(tt2) ) {
+ *tai1 = tt1;
+ *tai2 = tt2 - dtat;
+ } else {
+ *tai1 = tt1 - dtat;
+ *tai2 = tt2;
+ }
+
+/* Status (always OK). */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tttcg.c b/src/detail/erfa/tttcg.c
new file mode 100644
index 000000000..515eaf0f0
--- /dev/null
+++ b/src/detail/erfa/tttcg.c
@@ -0,0 +1,126 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraTttcg(double tt1, double tt2, double *tcg1, double *tcg2)
+/*
+** - - - - - - - - -
+** e r a T t t c g
+** - - - - - - - - -
+**
+** Time scale transformation: Terrestrial Time, TT, to Geocentric
+** Coordinate Time, TCG.
+**
+** Given:
+** tt1,tt2 double TT as a 2-part Julian Date
+**
+** Returned:
+** tcg1,tcg2 double TCG as a 2-part Julian Date
+**
+** Returned (function value):
+** int status: 0 = OK
+**
+** Note:
+**
+** tt1+tt2 is Julian Date, apportioned in any convenient way between
+** the two arguments, for example where tt1 is the Julian Day Number
+** and tt2 is the fraction of a day. The returned tcg1,tcg2 follow
+** suit.
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** IAU 2000 Resolution B1.9
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+
+/* 1977 Jan 1 00:00:32.184 TT, as MJD */
+ static const double t77t = ERFA_DJM77 + ERFA_TTMTAI/ERFA_DAYSEC;
+
+/* TT to TCG rate */
+ static const double elgg = ERFA_ELG/(1.0-ERFA_ELG);
+
+
+/* Result, safeguarding precision. */
+ if ( fabs(tt1) > fabs(tt2) ) {
+ *tcg1 = tt1;
+ *tcg2 = tt2 + ( ( tt1 - ERFA_DJM0 ) + ( tt2 - t77t ) ) * elgg;
+ } else {
+ *tcg1 = tt1 + ( ( tt2 - ERFA_DJM0 ) + ( tt1 - t77t ) ) * elgg;
+ *tcg2 = tt2;
+ }
+
+/* Status (always OK). */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/tttdb.c b/src/detail/erfa/tttdb.c
new file mode 100644
index 000000000..8a5fc60c2
--- /dev/null
+++ b/src/detail/erfa/tttdb.c
@@ -0,0 +1,135 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraTttdb(double tt1, double tt2, double dtr,
+ double *tdb1, double *tdb2)
+/*
+** - - - - - - - - -
+** e r a T t t d b
+** - - - - - - - - -
+**
+** Time scale transformation: Terrestrial Time, TT, to Barycentric
+** Dynamical Time, TDB.
+**
+** Given:
+** tt1,tt2 double TT as a 2-part Julian Date
+** dtr double TDB-TT in seconds
+**
+** Returned:
+** tdb1,tdb2 double TDB as a 2-part Julian Date
+**
+** Returned (function value):
+** int status: 0 = OK
+**
+** Notes:
+**
+** 1) tt1+tt2 is Julian Date, apportioned in any convenient way between
+** the two arguments, for example where tt1 is the Julian Day Number
+** and tt2 is the fraction of a day. The returned tdb1,tdb2 follow
+** suit.
+**
+** 2) The argument dtr represents the quasi-periodic component of the
+** GR transformation between TT and TCB. It is dependent upon the
+** adopted solar-system ephemeris, and can be obtained by numerical
+** integration, by interrogating a precomputed time ephemeris or by
+** evaluating a model such as that implemented in the ERFA function
+** eraDtdb. The quantity is dominated by an annual term of 1.7 ms
+** amplitude.
+**
+** 3) TDB is essentially the same as Teph, the time argument for the JPL
+** solar system ephemerides.
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** IAU 2006 Resolution 3
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double dtrd;
+
+
+/* Result, safeguarding precision. */
+ dtrd = dtr / ERFA_DAYSEC;
+ if ( fabs(tt1) > fabs(tt2) ) {
+ *tdb1 = tt1;
+ *tdb2 = tt2 + dtrd;
+ } else {
+ *tdb1 = tt1 + dtrd;
+ *tdb2 = tt2;
+ }
+
+/* Status (always OK). */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ttut1.c b/src/detail/erfa/ttut1.c
new file mode 100644
index 000000000..af7849397
--- /dev/null
+++ b/src/detail/erfa/ttut1.c
@@ -0,0 +1,124 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraTtut1(double tt1, double tt2, double dt,
+ double *ut11, double *ut12)
+/*
+** - - - - - - - - -
+** e r a T t u t 1
+** - - - - - - - - -
+**
+** Time scale transformation: Terrestrial Time, TT, to Universal Time,
+** UT1.
+**
+** Given:
+** tt1,tt2 double TT as a 2-part Julian Date
+** dt double TT-UT1 in seconds
+**
+** Returned:
+** ut11,ut12 double UT1 as a 2-part Julian Date
+**
+** Returned (function value):
+** int status: 0 = OK
+**
+** Notes:
+**
+** 1) tt1+tt2 is Julian Date, apportioned in any convenient way between
+** the two arguments, for example where tt1 is the Julian Day Number
+** and tt2 is the fraction of a day. The returned ut11,ut12 follow
+** suit.
+**
+** 2) The argument dt is classical Delta T.
+**
+** Reference:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double dtd;
+
+
+/* Result, safeguarding precision. */
+ dtd = dt / ERFA_DAYSEC;
+ if ( fabs(tt1) > fabs(tt2) ) {
+ *ut11 = tt1;
+ *ut12 = tt2 - dtd;
+ } else {
+ *ut11 = tt1 - dtd;
+ *ut12 = tt2;
+ }
+
+/* Status (always OK). */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ut1tai.c b/src/detail/erfa/ut1tai.c
new file mode 100644
index 000000000..79158290f
--- /dev/null
+++ b/src/detail/erfa/ut1tai.c
@@ -0,0 +1,125 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraUt1tai(double ut11, double ut12, double dta,
+ double *tai1, double *tai2)
+/*
+** - - - - - - - - - -
+** e r a U t 1 t a i
+** - - - - - - - - - -
+**
+** Time scale transformation: Universal Time, UT1, to International
+** Atomic Time, TAI.
+**
+** Given:
+** ut11,ut12 double UT1 as a 2-part Julian Date
+** dta double UT1-TAI in seconds
+**
+** Returned:
+** tai1,tai2 double TAI as a 2-part Julian Date
+**
+** Returned (function value):
+** int status: 0 = OK
+**
+** Notes:
+**
+** 1) ut11+ut12 is Julian Date, apportioned in any convenient way
+** between the two arguments, for example where ut11 is the Julian
+** Day Number and ut12 is the fraction of a day. The returned
+** tai1,tai2 follow suit.
+**
+** 2) The argument dta, i.e. UT1-TAI, is an observed quantity, and is
+** available from IERS tabulations.
+**
+** Reference:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double dtad;
+
+
+/* Result, safeguarding precision. */
+ dtad = dta / ERFA_DAYSEC;
+ if ( fabs(ut11) > fabs(ut12) ) {
+ *tai1 = ut11;
+ *tai2 = ut12 - dtad;
+ } else {
+ *tai1 = ut11 - dtad;
+ *tai2 = ut12;
+ }
+
+/* Status (always OK). */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ut1tt.c b/src/detail/erfa/ut1tt.c
new file mode 100644
index 000000000..2347d266d
--- /dev/null
+++ b/src/detail/erfa/ut1tt.c
@@ -0,0 +1,124 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraUt1tt(double ut11, double ut12, double dt,
+ double *tt1, double *tt2)
+/*
+** - - - - - - - - -
+** e r a U t 1 t t
+** - - - - - - - - -
+**
+** Time scale transformation: Universal Time, UT1, to Terrestrial
+** Time, TT.
+**
+** Given:
+** ut11,ut12 double UT1 as a 2-part Julian Date
+** dt double TT-UT1 in seconds
+**
+** Returned:
+** tt1,tt2 double TT as a 2-part Julian Date
+**
+** Returned (function value):
+** int status: 0 = OK
+**
+** Notes:
+**
+** 1) ut11+ut12 is Julian Date, apportioned in any convenient way
+** between the two arguments, for example where ut11 is the Julian
+** Day Number and ut12 is the fraction of a day. The returned
+** tt1,tt2 follow suit.
+**
+** 2) The argument dt is classical Delta T.
+**
+** Reference:
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double dtd;
+
+
+/* Result, safeguarding precision. */
+ dtd = dt / ERFA_DAYSEC;
+ if ( fabs(ut11) > fabs(ut12) ) {
+ *tt1 = ut11;
+ *tt2 = ut12 + dtd;
+ } else {
+ *tt1 = ut11 + dtd;
+ *tt2 = ut12;
+ }
+
+/* Status (always OK). */
+ return 0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/ut1utc.c b/src/detail/erfa/ut1utc.c
new file mode 100644
index 000000000..ded01ee67
--- /dev/null
+++ b/src/detail/erfa/ut1utc.c
@@ -0,0 +1,207 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraUt1utc(double ut11, double ut12, double dut1,
+ double *utc1, double *utc2)
+/*
+** - - - - - - - - - -
+** e r a U t 1 u t c
+** - - - - - - - - - -
+**
+** Time scale transformation: Universal Time, UT1, to Coordinated
+** Universal Time, UTC.
+**
+** Given:
+** ut11,ut12 double UT1 as a 2-part Julian Date (Note 1)
+** dut1 double Delta UT1: UT1-UTC in seconds (Note 2)
+**
+** Returned:
+** utc1,utc2 double UTC as a 2-part quasi Julian Date (Notes 3,4)
+**
+** Returned (function value):
+** int status: +1 = dubious year (Note 5)
+** 0 = OK
+** -1 = unacceptable date
+**
+** Notes:
+**
+** 1) ut11+ut12 is Julian Date, apportioned in any convenient way
+** between the two arguments, for example where ut11 is the Julian
+** Day Number and ut12 is the fraction of a day. The returned utc1
+** and utc2 form an analogous pair, except that a special convention
+** is used, to deal with the problem of leap seconds - see Note 3.
+**
+** 2) Delta UT1 can be obtained from tabulations provided by the
+** International Earth Rotation and Reference Systems Service. The
+** value changes abruptly by 1s at a leap second; however, close to
+** a leap second the algorithm used here is tolerant of the "wrong"
+** choice of value being made.
+**
+** 3) JD cannot unambiguously represent UTC during a leap second unless
+** special measures are taken. The convention in the present
+** function is that the returned quasi-JD UTC1+UTC2 represents UTC
+** days whether the length is 86399, 86400 or 86401 SI seconds.
+**
+** 4) The function eraD2dtf can be used to transform the UTC quasi-JD
+** into calendar date and clock time, including UTC leap second
+** handling.
+**
+** 5) The warning status "dubious year" flags UTCs that predate the
+** introduction of the time scale or that are too far in the future
+** to be trusted. See eraDat for further details.
+**
+** Called:
+** eraJd2cal JD to Gregorian calendar
+** eraDat delta(AT) = TAI-UTC
+** eraCal2jd Gregorian calendar to JD
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992)
+**
+** This revision: 2023 May 6
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int big1;
+ int i, iy, im, id, js;
+ double duts, u1, u2, d1, dats1, d2, fd, dats2, ddats, us1, us2, du;
+
+
+/* UT1-UTC in seconds. */
+ duts = dut1;
+
+/* Put the two parts of the UT1 into big-first order. */
+ big1 = ( fabs(ut11) >= fabs(ut12) );
+ if ( big1 ) {
+ u1 = ut11;
+ u2 = ut12;
+ } else {
+ u1 = ut12;
+ u2 = ut11;
+ }
+
+/* See if the UT1 can possibly be in a leap-second day. */
+ d1 = u1;
+ dats1 = 0;
+ for ( i = -1; i <= 3; i++ ) {
+ d2 = u2 + (double) i;
+ if ( eraJd2cal(d1, d2, &iy, &im, &id, &fd) ) return -1;
+ js = eraDat(iy, im, id, 0.0, &dats2);
+ if ( js < 0 ) return -1;
+ if ( i == - 1 ) dats1 = dats2;
+ ddats = dats2 - dats1;
+ if ( fabs(ddats) >= 0.5 ) {
+
+ /* Yes, leap second nearby: ensure UT1-UTC is "before" value. */
+ if ( ddats*duts >= 0.0 ) duts -= ddats;
+
+ /* UT1 for the start of the UTC day that ends in a leap. */
+ if ( eraCal2jd(iy, im, id, &d1, &d2) ) return -1;
+ us1 = d1;
+ us2 = d2 - 1.0 + duts/ERFA_DAYSEC;
+
+ /* Is the UT1 after this point? */
+ du = u1 - us1;
+ du += u2 - us2;
+ if ( du > 0.0 ) {
+
+ /* Yes: fraction of the current UTC day that has elapsed. */
+ fd = du * ERFA_DAYSEC / ( ERFA_DAYSEC + ddats );
+
+ /* Ramp UT1-UTC to bring about ERFA's JD(UTC) convention. */
+ duts += ddats * ( fd <= 1.0 ? fd : 1.0 );
+ }
+
+ /* Done. */
+ break;
+ }
+ dats1 = dats2;
+ }
+
+/* Subtract the (possibly adjusted) UT1-UTC from UT1 to give UTC. */
+ u2 -= duts / ERFA_DAYSEC;
+
+/* Result, safeguarding precision. */
+ if ( big1 ) {
+ *utc1 = u1;
+ *utc2 = u2;
+ } else {
+ *utc1 = u2;
+ *utc2 = u1;
+ }
+
+/* Status. */
+ return js;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/utctai.c b/src/detail/erfa/utctai.c
new file mode 100644
index 000000000..48f3a7d6b
--- /dev/null
+++ b/src/detail/erfa/utctai.c
@@ -0,0 +1,191 @@
+#include "erfa.h"
+#include "erfam.h"
+
+int eraUtctai(double utc1, double utc2, double *tai1, double *tai2)
+/*
+** - - - - - - - - - -
+** e r a U t c t a i
+** - - - - - - - - - -
+**
+** Time scale transformation: Coordinated Universal Time, UTC, to
+** International Atomic Time, TAI.
+**
+** Given:
+** utc1,utc2 double UTC as a 2-part quasi Julian Date (Notes 1-4)
+**
+** Returned:
+** tai1,tai2 double TAI as a 2-part Julian Date (Note 5)
+**
+** Returned (function value):
+** int status: +1 = dubious year (Note 3)
+** 0 = OK
+** -1 = unacceptable date
+**
+** Notes:
+**
+** 1) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any
+** convenient way between the two arguments, for example where utc1
+** is the Julian Day Number and utc2 is the fraction of a day.
+**
+** 2) JD cannot unambiguously represent UTC during a leap second unless
+** special measures are taken. The convention in the present
+** function is that the JD day represents UTC days whether the
+** length is 86399, 86400 or 86401 SI seconds. In the 1960-1972 era
+** there were smaller jumps (in either direction) each time the
+** linear UTC(TAI) expression was changed, and these "mini-leaps"
+** are also included in the ERFA convention.
+**
+** 3) The warning status "dubious year" flags UTCs that predate the
+** introduction of the time scale or that are too far in the future
+** to be trusted. See eraDat for further details.
+**
+** 4) The function eraDtf2d converts from calendar date and time of day
+** into 2-part Julian Date, and in the case of UTC implements the
+** leap-second-ambiguity convention described above.
+**
+** 5) The returned TAI1,TAI2 are such that their sum is the TAI Julian
+** Date.
+**
+** Called:
+** eraJd2cal JD to Gregorian calendar
+** eraDat delta(AT) = TAI-UTC
+** eraCal2jd Gregorian calendar to JD
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int big1;
+ int iy, im, id, j, iyt, imt, idt;
+ double u1, u2, fd, dat0, dat12, w, dat24, dlod, dleap, z1, z2, a2;
+
+
+/* Put the two parts of the UTC into big-first order. */
+ big1 = ( fabs(utc1) >= fabs(utc2) );
+ if ( big1 ) {
+ u1 = utc1;
+ u2 = utc2;
+ } else {
+ u1 = utc2;
+ u2 = utc1;
+ }
+
+/* Get TAI-UTC at 0h today. */
+ j = eraJd2cal(u1, u2, &iy, &im, &id, &fd);
+ if ( j ) return j;
+ j = eraDat(iy, im, id, 0.0, &dat0);
+ if ( j < 0 ) return j;
+
+/* Get TAI-UTC at 12h today (to detect drift). */
+ j = eraDat(iy, im, id, 0.5, &dat12);
+ if ( j < 0 ) return j;
+
+/* Get TAI-UTC at 0h tomorrow (to detect jumps). */
+ j = eraJd2cal(u1+1.5, u2-fd, &iyt, &imt, &idt, &w);
+ if ( j ) return j;
+ j = eraDat(iyt, imt, idt, 0.0, &dat24);
+ if ( j < 0 ) return j;
+
+/* Separate TAI-UTC change into per-day (DLOD) and any jump (DLEAP). */
+ dlod = 2.0 * (dat12 - dat0);
+ dleap = dat24 - (dat0 + dlod);
+
+/* Remove any scaling applied to spread leap into preceding day. */
+ fd *= (ERFA_DAYSEC+dleap)/ERFA_DAYSEC;
+
+/* Scale from (pre-1972) UTC seconds to SI seconds. */
+ fd *= (ERFA_DAYSEC+dlod)/ERFA_DAYSEC;
+
+/* Today's calendar date to 2-part JD. */
+ if ( eraCal2jd(iy, im, id, &z1, &z2) ) return -1;
+
+/* Assemble the TAI result, preserving the UTC split and order. */
+ a2 = z1 - u1;
+ a2 += z2;
+ a2 += fd + dat0/ERFA_DAYSEC;
+ if ( big1 ) {
+ *tai1 = u1;
+ *tai2 = a2;
+ } else {
+ *tai1 = a2;
+ *tai2 = u1;
+ }
+
+/* Status. */
+ return j;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/utcut1.c b/src/detail/erfa/utcut1.c
new file mode 100644
index 000000000..11373e0a2
--- /dev/null
+++ b/src/detail/erfa/utcut1.c
@@ -0,0 +1,160 @@
+#include "erfa.h"
+
+int eraUtcut1(double utc1, double utc2, double dut1,
+ double *ut11, double *ut12)
+/*
+** - - - - - - - - - -
+** e r a U t c u t 1
+** - - - - - - - - - -
+**
+** Time scale transformation: Coordinated Universal Time, UTC, to
+** Universal Time, UT1.
+**
+** Given:
+** utc1,utc2 double UTC as a 2-part quasi Julian Date (Notes 1-4)
+** dut1 double Delta UT1 = UT1-UTC in seconds (Note 5)
+**
+** Returned:
+** ut11,ut12 double UT1 as a 2-part Julian Date (Note 6)
+**
+** Returned (function value):
+** int status: +1 = dubious year (Note 3)
+** 0 = OK
+** -1 = unacceptable date
+**
+** Notes:
+**
+** 1) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any
+** convenient way between the two arguments, for example where utc1
+** is the Julian Day Number and utc2 is the fraction of a day.
+**
+** 2) JD cannot unambiguously represent UTC during a leap second unless
+** special measures are taken. The convention in the present
+** function is that the JD day represents UTC days whether the
+** length is 86399, 86400 or 86401 SI seconds.
+**
+** 3) The warning status "dubious year" flags UTCs that predate the
+** introduction of the time scale or that are too far in the future
+** to be trusted. See eraDat for further details.
+**
+** 4) The function eraDtf2d converts from calendar date and time of
+** day into 2-part Julian Date, and in the case of UTC implements
+** the leap-second-ambiguity convention described above.
+**
+** 5) Delta UT1 can be obtained from tabulations provided by the
+** International Earth Rotation and Reference Systems Service.
+** It is the caller's responsibility to supply a dut1 argument
+** containing the UT1-UTC value that matches the given UTC.
+**
+** 6) The returned ut11,ut12 are such that their sum is the UT1 Julian
+** Date.
+**
+** References:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** Explanatory Supplement to the Astronomical Almanac,
+** P. Kenneth Seidelmann (ed), University Science Books (1992)
+**
+** Called:
+** eraJd2cal JD to Gregorian calendar
+** eraDat delta(AT) = TAI-UTC
+** eraUtctai UTC to TAI
+** eraTaiut1 TAI to UT1
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ int iy, im, id, js, jw;
+ double w, dat, dta, tai1, tai2;
+
+
+/* Look up TAI-UTC. */
+ if ( eraJd2cal(utc1, utc2, &iy, &im, &id, &w) ) return -1;
+ js = eraDat ( iy, im, id, 0.0, &dat);
+ if ( js < 0 ) return -1;
+
+/* Form UT1-TAI. */
+ dta = dut1 - dat;
+
+/* UTC to TAI to UT1. */
+ jw = eraUtctai(utc1, utc2, &tai1, &tai2);
+ if ( jw < 0 ) {
+ return -1;
+ } else if ( jw > 0 ) {
+ js = jw;
+ }
+ if ( eraTaiut1(tai1, tai2, dta, ut11, ut12) ) return -1;
+
+/* Status. */
+ return js;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/xy06.c b/src/detail/erfa/xy06.c
new file mode 100644
index 000000000..20d684556
--- /dev/null
+++ b/src/detail/erfa/xy06.c
@@ -0,0 +1,2770 @@
+#include "erfa.h"
+#include "erfam.h"
+
+void eraXy06(double date1, double date2, double *x, double *y)
+/*
+** - - - - - - - -
+** e r a X y 0 6
+** - - - - - - - -
+**
+** X,Y coordinates of celestial intermediate pole from series based
+** on IAU 2006 precession and IAU 2000A nutation.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** x,y double CIP X,Y coordinates (Note 2)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The X,Y coordinates are those of the unit vector towards the
+** celestial intermediate pole. They represent the combined effects
+** of frame bias, precession and nutation.
+**
+** 3) The fundamental arguments used are as adopted in IERS Conventions
+** (2003) and are from Simon et al. (1994) and Souchay et al.
+** (1999).
+**
+** 4) This is an alternative to the angles-based method, via the ERFA
+** function eraFw2xy and as used in eraXys06a for example. The two
+** methods agree at the 1 microarcsecond level (at present), a
+** negligible amount compared with the intrinsic accuracy of the
+** models. However, it would be unwise to mix the two methods
+** (angles-based and series-based) in a single application.
+**
+** Called:
+** eraFal03 mean anomaly of the Moon
+** eraFalp03 mean anomaly of the Sun
+** eraFaf03 mean argument of the latitude of the Moon
+** eraFad03 mean elongation of the Moon from the Sun
+** eraFaom03 mean longitude of the Moon's ascending node
+** eraFame03 mean longitude of Mercury
+** eraFave03 mean longitude of Venus
+** eraFae03 mean longitude of Earth
+** eraFama03 mean longitude of Mars
+** eraFaju03 mean longitude of Jupiter
+** eraFasa03 mean longitude of Saturn
+** eraFaur03 mean longitude of Uranus
+** eraFane03 mean longitude of Neptune
+** eraFapa03 general accumulated precession in longitude
+**
+** References:
+**
+** Capitaine, N., Wallace, P.T. & Chapront, J., 2003,
+** Astron.Astrophys., 412, 567
+**
+** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855
+**
+** McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG
+**
+** Simon, J.L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
+** Francou, G. & Laskar, J., Astron.Astrophys., 1994, 282, 663
+**
+** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M., 1999,
+** Astron.Astrophys.Supp.Ser. 135, 111
+**
+** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+
+/* Maximum power of T in the polynomials for X and Y */
+ enum { MAXPT = 5 };
+
+/* Polynomial coefficients (arcsec, X then Y). */
+ static const double xyp[2][MAXPT+1] = {
+
+ { -0.016617,
+ 2004.191898,
+ -0.4297829,
+ -0.19861834,
+ 0.000007578,
+ 0.0000059285
+ },
+ { -0.006951,
+ -0.025896,
+ -22.4072747,
+ 0.00190059,
+ 0.001112526,
+ 0.0000001358
+ }
+ };
+
+/* Fundamental-argument multipliers: luni-solar terms */
+ static const int mfals[][5] = {
+
+ /* 1-10 */
+ { 0, 0, 0, 0, 1 },
+ { 0, 0, 2, -2, 2 },
+ { 0, 0, 2, 0, 2 },
+ { 0, 0, 0, 0, 2 },
+ { 0, 1, 0, 0, 0 },
+ { 0, 1, 2, -2, 2 },
+ { 1, 0, 0, 0, 0 },
+ { 0, 0, 2, 0, 1 },
+ { 1, 0, 2, 0, 2 },
+ { 0, 1, -2, 2, -2 },
+
+ /* 11-20 */
+ { 0, 0, 2, -2, 1 },
+ { 1, 0, -2, 0, -2 },
+ { 1, 0, 0, -2, 0 },
+ { 1, 0, 0, 0, 1 },
+ { 1, 0, 0, 0, -1 },
+ { 1, 0, -2, -2, -2 },
+ { 1, 0, 2, 0, 1 },
+ { 2, 0, -2, 0, -1 },
+ { 0, 0, 0, 2, 0 },
+ { 0, 0, 2, 2, 2 },
+
+ /* 21-30 */
+ { 2, 0, 0, -2, 0 },
+ { 0, 2, -2, 2, -2 },
+ { 2, 0, 2, 0, 2 },
+ { 1, 0, 2, -2, 2 },
+ { 1, 0, -2, 0, -1 },
+ { 2, 0, 0, 0, 0 },
+ { 0, 0, 2, 0, 0 },
+ { 0, 1, 0, 0, 1 },
+ { 1, 0, 0, -2, -1 },
+ { 0, 2, 2, -2, 2 },
+
+ /* 31-40 */
+ { 0, 0, 2, -2, 0 },
+ { 1, 0, 0, -2, 1 },
+ { 0, 1, 0, 0, -1 },
+ { 0, 2, 0, 0, 0 },
+ { 1, 0, -2, -2, -1 },
+ { 1, 0, 2, 2, 2 },
+ { 0, 1, 2, 0, 2 },
+ { 2, 0, -2, 0, 0 },
+ { 0, 0, 2, 2, 1 },
+ { 0, 1, -2, 0, -2 },
+
+ /* 41-50 */
+ { 0, 0, 0, 2, 1 },
+ { 1, 0, 2, -2, 1 },
+ { 2, 0, 0, -2, -1 },
+ { 2, 0, 2, -2, 2 },
+ { 2, 0, 2, 0, 1 },
+ { 0, 0, 0, 2, -1 },
+ { 0, 1, -2, 2, -1 },
+ { 1, 1, 0, -2, 0 },
+ { 2, 0, 0, -2, 1 },
+ { 1, 0, 0, 2, 0 },
+
+ /* 51-60 */
+ { 0, 1, 2, -2, 1 },
+ { 1, -1, 0, 0, 0 },
+ { 0, 1, -1, 1, -1 },
+ { 2, 0, -2, 0, -2 },
+ { 0, 1, 0, -2, 0 },
+ { 1, 0, 0, -1, 0 },
+ { 3, 0, 2, 0, 2 },
+ { 0, 0, 0, 1, 0 },
+ { 1, -1, 2, 0, 2 },
+ { 1, 1, -2, -2, -2 },
+
+ /* 61-70 */
+ { 1, 0, -2, 0, 0 },
+ { 2, 0, 0, 0, -1 },
+ { 0, 1, -2, -2, -2 },
+ { 1, 1, 2, 0, 2 },
+ { 2, 0, 0, 0, 1 },
+ { 1, 1, 0, 0, 0 },
+ { 1, 0, -2, 2, -1 },
+ { 1, 0, 2, 0, 0 },
+ { 1, -1, 0, -1, 0 },
+ { 1, 0, 0, 0, 2 },
+
+ /* 71-80 */
+ { 1, 0, -1, 0, -1 },
+ { 0, 0, 2, 1, 2 },
+ { 1, 0, -2, -4, -2 },
+ { 1, -1, 0, -1, -1 },
+ { 1, 0, 2, 2, 1 },
+ { 0, 2, -2, 2, -1 },
+ { 1, 0, 0, 0, -2 },
+ { 2, 0, -2, -2, -2 },
+ { 1, 1, 2, -2, 2 },
+ { 2, 0, -2, -4, -2 },
+
+ /* 81-90 */
+ { 1, 0, -4, 0, -2 },
+ { 2, 0, 2, -2, 1 },
+ { 1, 0, 0, -1, -1 },
+ { 2, 0, 2, 2, 2 },
+ { 3, 0, 0, 0, 0 },
+ { 1, 0, 0, 2, 1 },
+ { 0, 0, 2, -2, -1 },
+ { 3, 0, 2, -2, 2 },
+ { 0, 0, 4, -2, 2 },
+ { 1, 0, 0, -4, 0 },
+
+ /* 91-100 */
+ { 0, 1, 2, 0, 1 },
+ { 2, 0, 0, -4, 0 },
+ { 1, 1, 0, -2, -1 },
+ { 2, 0, -2, 0, 1 },
+ { 0, 0, 2, 0, -1 },
+ { 0, 1, -2, 0, -1 },
+ { 0, 1, 0, 0, 2 },
+ { 0, 0, 2, -1, 2 },
+ { 0, 0, 2, 4, 2 },
+ { 2, 1, 0, -2, 0 },
+
+ /* 101-110 */
+ { 1, 1, 0, -2, 1 },
+ { 1, -1, 0, -2, 0 },
+ { 1, -1, 0, -1, -2 },
+ { 1, -1, 0, 0, 1 },
+ { 0, 1, -2, 2, 0 },
+ { 0, 1, 0, 0, -2 },
+ { 1, -1, 2, 2, 2 },
+ { 1, 0, 0, 2, -1 },
+ { 1, -1, -2, -2, -2 },
+ { 3, 0, 2, 0, 1 },
+
+ /* 111-120 */
+ { 0, 1, 2, 2, 2 },
+ { 1, 0, 2, -2, 0 },
+ { 1, 1, -2, -2, -1 },
+ { 1, 0, 2, -4, 1 },
+ { 0, 1, -2, -2, -1 },
+ { 2, -1, 2, 0, 2 },
+ { 0, 0, 0, 2, 2 },
+ { 1, -1, 2, 0, 1 },
+ { 1, -1, -2, 0, -2 },
+ { 0, 1, 0, 2, 0 },
+
+ /* 121-130 */
+ { 0, 1, 2, -2, 0 },
+ { 0, 0, 0, 1, 1 },
+ { 1, 0, -2, -2, 0 },
+ { 0, 3, 2, -2, 2 },
+ { 2, 1, 2, 0, 2 },
+ { 1, 1, 0, 0, 1 },
+ { 2, 0, 0, 2, 0 },
+ { 1, 1, 2, 0, 1 },
+ { 1, 0, 0, -2, -2 },
+ { 1, 0, -2, 2, 0 },
+
+ /* 131-140 */
+ { 1, 0, -1, 0, -2 },
+ { 0, 1, 0, -2, 1 },
+ { 0, 1, 0, 1, 0 },
+ { 0, 0, 0, 1, -1 },
+ { 1, 0, -2, 2, -2 },
+ { 1, -1, 0, 0, -1 },
+ { 0, 0, 0, 4, 0 },
+ { 1, -1, 0, 2, 0 },
+ { 1, 0, 2, 1, 2 },
+ { 1, 0, 2, -1, 2 },
+
+ /* 141-150 */
+ { 0, 0, 2, 1, 1 },
+ { 1, 0, 0, -2, 2 },
+ { 1, 0, -2, 0, 1 },
+ { 1, 0, -2, -4, -1 },
+ { 0, 0, 2, 2, 0 },
+ { 1, 1, 2, -2, 1 },
+ { 1, 0, -2, 1, -1 },
+ { 0, 0, 1, 0, 1 },
+ { 2, 0, -2, -2, -1 },
+ { 4, 0, 2, 0, 2 },
+
+ /* 151-160 */
+ { 2, -1, 0, 0, 0 },
+ { 2, 1, 2, -2, 2 },
+ { 0, 1, 2, 1, 2 },
+ { 1, 0, 4, -2, 2 },
+ { 1, 1, 0, 0, -1 },
+ { 2, 0, 2, 0, 0 },
+ { 2, 0, -2, -4, -1 },
+ { 1, 0, -1, 0, 0 },
+ { 1, 0, 0, 1, 0 },
+ { 0, 1, 0, 2, 1 },
+
+ /* 161-170 */
+ { 1, 0, -4, 0, -1 },
+ { 1, 0, 0, -4, -1 },
+ { 2, 0, 2, 2, 1 },
+ { 2, 1, 0, 0, 0 },
+ { 0, 0, 2, -3, 2 },
+ { 1, 2, 0, -2, 0 },
+ { 0, 3, 0, 0, 0 },
+ { 0, 0, 4, 0, 2 },
+ { 0, 0, 2, -4, 1 },
+ { 2, 0, 0, -2, -2 },
+
+ /* 171-180 */
+ { 1, 1, -2, -4, -2 },
+ { 0, 1, 0, -2, -1 },
+ { 0, 0, 0, 4, 1 },
+ { 3, 0, 2, -2, 1 },
+ { 1, 0, 2, 4, 2 },
+ { 1, 1, -2, 0, -2 },
+ { 0, 0, 4, -2, 1 },
+ { 2, -2, 0, -2, 0 },
+ { 2, 1, 0, -2, -1 },
+ { 0, 2, 0, -2, 0 },
+
+ /* 181-190 */
+ { 1, 0, 0, -1, 1 },
+ { 1, 1, 2, 2, 2 },
+ { 3, 0, 0, 0, -1 },
+ { 2, 0, 0, -4, -1 },
+ { 3, 0, 2, 2, 2 },
+ { 0, 0, 2, 4, 1 },
+ { 0, 2, -2, -2, -2 },
+ { 1, -1, 0, -2, -1 },
+ { 0, 0, 2, -1, 1 },
+ { 2, 0, 0, 2, 1 },
+
+ /* 191-200 */
+ { 1, -1, -2, 2, -1 },
+ { 0, 0, 0, 2, -2 },
+ { 2, 0, 0, -4, 1 },
+ { 1, 0, 0, -4, 1 },
+ { 2, 0, 2, -4, 1 },
+ { 4, 0, 2, -2, 2 },
+ { 2, 1, -2, 0, -1 },
+ { 2, 1, -2, -4, -2 },
+ { 3, 0, 0, -4, 0 },
+ { 1, -1, 2, 2, 1 },
+
+ /* 201-210 */
+ { 1, -1, -2, 0, -1 },
+ { 0, 2, 0, 0, 1 },
+ { 1, 2, -2, -2, -2 },
+ { 1, 1, 0, -4, 0 },
+ { 2, 0, 0, -2, 2 },
+ { 0, 2, 2, -2, 1 },
+ { 1, 0, 2, 0, -1 },
+ { 2, 1, 0, -2, 1 },
+ { 2, -1, -2, 0, -1 },
+ { 1, -1, -2, -2, -1 },
+
+ /* 211-220 */
+ { 0, 1, -2, 1, -2 },
+ { 1, 0, -4, 2, -2 },
+ { 0, 1, 2, 2, 1 },
+ { 3, 0, 0, 0, 1 },
+ { 2, -1, 2, 2, 2 },
+ { 0, 1, -2, -4, -2 },
+ { 1, 0, -2, -3, -2 },
+ { 2, 0, 0, 0, 2 },
+ { 1, -1, 0, -2, -2 },
+ { 2, 0, -2, 2, -1 },
+
+ /* 221-230 */
+ { 0, 2, -2, 0, -2 },
+ { 3, 0, -2, 0, -1 },
+ { 2, -1, 2, 0, 1 },
+ { 1, 0, -2, -1, -2 },
+ { 0, 0, 2, 0, 3 },
+ { 2, 0, -4, 0, -2 },
+ { 2, 1, 0, -4, 0 },
+ { 1, 1, -2, 1, -1 },
+ { 0, 2, 2, 0, 2 },
+ { 1, -1, 2, -2, 2 },
+
+ /* 231-240 */
+ { 1, -1, 0, -2, 1 },
+ { 2, 1, 2, 0, 1 },
+ { 1, 0, 2, -4, 2 },
+ { 1, 1, -2, 0, -1 },
+ { 1, 1, 0, 2, 0 },
+ { 1, 0, 0, -3, 0 },
+ { 2, 0, 2, -1, 2 },
+ { 0, 2, 0, 0, -1 },
+ { 2, -1, 0, -2, 0 },
+ { 4, 0, 0, 0, 0 },
+
+ /* 241-250 */
+ { 2, 1, -2, -2, -2 },
+ { 0, 2, -2, 2, 0 },
+ { 1, 0, 2, 1, 1 },
+ { 1, 0, -1, 0, -3 },
+ { 3, -1, 2, 0, 2 },
+ { 2, 0, 2, -2, 0 },
+ { 1, -2, 0, 0, 0 },
+ { 2, 0, 0, 0, -2 },
+ { 1, 0, 0, 4, 0 },
+ { 0, 1, 0, 1, 1 },
+
+ /* 251-260 */
+ { 1, 0, 2, 2, 0 },
+ { 0, 1, 0, 2, -1 },
+ { 0, 1, 0, 1, -1 },
+ { 0, 0, 2, -2, 3 },
+ { 3, 1, 2, 0, 2 },
+ { 1, 1, 2, 1, 2 },
+ { 1, 1, -2, 2, -1 },
+ { 2, -1, 2, -2, 2 },
+ { 1, -2, 2, 0, 2 },
+ { 1, 0, 2, -4, 0 },
+
+ /* 261-270 */
+ { 0, 0, 1, 0, 0 },
+ { 1, 0, 2, -3, 1 },
+ { 1, -2, 0, -2, 0 },
+ { 2, 0, 0, 2, -1 },
+ { 1, 1, 2, -4, 1 },
+ { 4, 0, 2, 0, 1 },
+ { 0, 1, 2, 1, 1 },
+ { 1, 2, 2, -2, 2 },
+ { 2, 0, 2, 1, 2 },
+ { 2, 1, 2, -2, 1 },
+
+ /* 271-280 */
+ { 1, 0, 2, -1, 1 },
+ { 1, 0, 4, -2, 1 },
+ { 1, -1, 2, -2, 1 },
+ { 0, 1, 0, -4, 0 },
+ { 3, 0, -2, -2, -2 },
+ { 0, 0, 4, -4, 2 },
+ { 2, 0, -4, -2, -2 },
+ { 2, -2, 0, -2, -1 },
+ { 1, 0, 2, -2, -1 },
+ { 2, 0, -2, -6, -2 },
+
+ /* 281-290 */
+ { 1, 0, -2, 1, -2 },
+ { 1, 0, -2, 2, 1 },
+ { 1, -1, 0, 2, -1 },
+ { 1, 0, -2, 1, 0 },
+ { 2, -1, 0, -2, 1 },
+ { 1, -1, 0, 2, 1 },
+ { 2, 0, -2, -2, 0 },
+ { 1, 0, 2, -3, 2 },
+ { 0, 0, 0, 4, -1 },
+ { 2, -1, 0, 0, 1 },
+
+ /* 291-300 */
+ { 2, 0, 4, -2, 2 },
+ { 0, 0, 2, 3, 2 },
+ { 0, 1, 4, -2, 2 },
+ { 0, 1, -2, 2, 1 },
+ { 1, 1, 0, 2, 1 },
+ { 1, 0, 0, 4, 1 },
+ { 0, 0, 4, 0, 1 },
+ { 2, 0, 0, -3, 0 },
+ { 1, 0, 0, -1, -2 },
+ { 1, -2, -2, -2, -2 },
+
+ /* 301-310 */
+ { 3, 0, 0, 2, 0 },
+ { 2, 0, 2, -4, 2 },
+ { 1, 1, -2, -4, -1 },
+ { 1, 0, -2, -6, -2 },
+ { 2, -1, 0, 0, -1 },
+ { 2, -1, 0, 2, 0 },
+ { 0, 1, 2, -2, -1 },
+ { 1, 1, 0, 1, 0 },
+ { 1, 2, 0, -2, -1 },
+ { 1, 0, 0, 1, -1 },
+
+ /* 311-320 */
+ { 0, 0, 1, 0, 2 },
+ { 3, 1, 2, -2, 2 },
+ { 1, 0, -4, -2, -2 },
+ { 1, 0, 2, 4, 1 },
+ { 1, -2, 2, 2, 2 },
+ { 1, -1, -2, -4, -2 },
+ { 0, 0, 2, -4, 2 },
+ { 0, 0, 2, -3, 1 },
+ { 2, 1, -2, 0, 0 },
+ { 3, 0, -2, -2, -1 },
+
+ /* 321-330 */
+ { 2, 0, 2, 4, 2 },
+ { 0, 0, 0, 0, 3 },
+ { 2, -1, -2, -2, -2 },
+ { 2, 0, 0, -1, 0 },
+ { 3, 0, 2, -4, 2 },
+ { 2, 1, 2, 2, 2 },
+ { 0, 0, 3, 0, 3 },
+ { 1, 1, 2, 2, 1 },
+ { 2, 1, 0, 0, -1 },
+ { 1, 2, 0, -2, 1 },
+
+ /* 331-340 */
+ { 3, 0, 2, 2, 1 },
+ { 1, -1, -2, 2, -2 },
+ { 1, 1, 0, -1, 0 },
+ { 1, 2, 0, 0, 0 },
+ { 1, 0, 4, 0, 2 },
+ { 1, -1, 2, 4, 2 },
+ { 2, 1, 0, 0, 1 },
+ { 1, 0, 0, 2, 2 },
+ { 1, -1, -2, 2, 0 },
+ { 0, 2, -2, -2, -1 },
+
+ /* 341-350 */
+ { 2, 0, -2, 0, 2 },
+ { 5, 0, 2, 0, 2 },
+ { 3, 0, -2, -6, -2 },
+ { 1, -1, 2, -1, 2 },
+ { 3, 0, 0, -4, -1 },
+ { 1, 0, 0, 1, 1 },
+ { 1, 0, -4, 2, -1 },
+ { 0, 1, 2, -4, 1 },
+ { 1, 2, 2, 0, 2 },
+ { 0, 1, 0, -2, -2 },
+
+ /* 351-360 */
+ { 0, 0, 2, -1, 0 },
+ { 1, 0, 1, 0, 1 },
+ { 0, 2, 0, -2, 1 },
+ { 3, 0, 2, 0, 0 },
+ { 1, 1, -2, 1, 0 },
+ { 2, 1, -2, -4, -1 },
+ { 3, -1, 0, 0, 0 },
+ { 2, -1, -2, 0, 0 },
+ { 4, 0, 2, -2, 1 },
+ { 2, 0, -2, 2, 0 },
+
+ /* 361-370 */
+ { 1, 1, 2, -2, 0 },
+ { 1, 0, -2, 4, -1 },
+ { 1, 0, -2, -2, 1 },
+ { 2, 0, 2, -4, 0 },
+ { 1, 1, 0, -2, -2 },
+ { 1, 1, -2, -2, 0 },
+ { 1, 0, 1, -2, 1 },
+ { 2, -1, -2, -4, -2 },
+ { 3, 0, -2, 0, -2 },
+ { 0, 1, -2, -2, 0 },
+
+ /* 371-380 */
+ { 3, 0, 0, -2, -1 },
+ { 1, 0, -2, -3, -1 },
+ { 0, 1, 0, -4, -1 },
+ { 1, -2, 2, -2, 1 },
+ { 0, 1, -2, 1, -1 },
+ { 1, -1, 0, 0, 2 },
+ { 2, 0, 0, 1, 0 },
+ { 1, -2, 0, 2, 0 },
+ { 1, 2, -2, -2, -1 },
+ { 0, 0, 4, -4, 1 },
+
+ /* 381-390 */
+ { 0, 1, 2, 4, 2 },
+ { 0, 1, -4, 2, -2 },
+ { 3, 0, -2, 0, 0 },
+ { 2, -1, 2, 2, 1 },
+ { 0, 1, -2, -4, -1 },
+ { 4, 0, 2, 2, 2 },
+ { 2, 0, -2, -3, -2 },
+ { 2, 0, 0, -6, 0 },
+ { 1, 0, 2, 0, 3 },
+ { 3, 1, 0, 0, 0 },
+
+ /* 391-400 */
+ { 3, 0, 0, -4, 1 },
+ { 1, -1, 2, 0, 0 },
+ { 1, -1, 0, -4, 0 },
+ { 2, 0, -2, 2, -2 },
+ { 1, 1, 0, -2, 2 },
+ { 4, 0, 0, -2, 0 },
+ { 2, 2, 0, -2, 0 },
+ { 0, 1, 2, 0, 0 },
+ { 1, 1, 0, -4, 1 },
+ { 1, 0, 0, -4, -2 },
+
+ /* 401-410 */
+ { 0, 0, 0, 1, 2 },
+ { 3, 0, 0, 2, 1 },
+ { 1, 1, 0, -4, -1 },
+ { 0, 0, 2, 2, -1 },
+ { 1, 1, 2, 0, 0 },
+ { 1, -1, 2, -4, 1 },
+ { 1, 1, 0, 0, 2 },
+ { 0, 0, 2, 6, 2 },
+ { 4, 0, -2, -2, -1 },
+ { 2, 1, 0, -4, -1 },
+
+ /* 411-420 */
+ { 0, 0, 0, 3, 1 },
+ { 1, -1, -2, 0, 0 },
+ { 0, 0, 2, 1, 0 },
+ { 1, 0, 0, 2, -2 },
+ { 3, -1, 2, 2, 2 },
+ { 3, -1, 2, -2, 2 },
+ { 1, 0, 0, -1, 2 },
+ { 1, -2, 2, -2, 2 },
+ { 0, 1, 0, 2, 2 },
+ { 0, 1, -2, -1, -2 },
+
+ /* 421-430 */
+ { 1, 1, -2, 0, 0 },
+ { 0, 2, 2, -2, 0 },
+ { 3, -1, -2, -1, -2 },
+ { 1, 0, 0, -6, 0 },
+ { 1, 0, -2, -4, 0 },
+ { 2, 1, 0, -4, 1 },
+ { 2, 0, 2, 0, -1 },
+ { 2, 0, -4, 0, -1 },
+ { 0, 0, 3, 0, 2 },
+ { 2, 1, -2, -2, -1 },
+
+ /* 431-440 */
+ { 1, -2, 0, 0, 1 },
+ { 2, -1, 0, -4, 0 },
+ { 0, 0, 0, 3, 0 },
+ { 5, 0, 2, -2, 2 },
+ { 1, 2, -2, -4, -2 },
+ { 1, 0, 4, -4, 2 },
+ { 0, 0, 4, -1, 2 },
+ { 3, 1, 0, -4, 0 },
+ { 3, 0, 0, -6, 0 },
+ { 2, 0, 0, 2, 2 },
+
+ /* 441-450 */
+ { 2, -2, 2, 0, 2 },
+ { 1, 0, 0, -3, 1 },
+ { 1, -2, -2, 0, -2 },
+ { 1, -1, -2, -3, -2 },
+ { 0, 0, 2, -2, -2 },
+ { 2, 0, -2, -4, 0 },
+ { 1, 0, -4, 0, 0 },
+ { 0, 1, 0, -1, 0 },
+ { 4, 0, 0, 0, -1 },
+ { 3, 0, 2, -1, 2 },
+
+ /* 451-460 */
+ { 3, -1, 2, 0, 1 },
+ { 2, 0, 2, -1, 1 },
+ { 1, 2, 2, -2, 1 },
+ { 1, 1, 0, 2, -1 },
+ { 0, 2, 2, 0, 1 },
+ { 3, 1, 2, 0, 1 },
+ { 1, 1, 2, 1, 1 },
+ { 1, 1, 0, -1, 1 },
+ { 1, -2, 0, -2, -1 },
+ { 4, 0, 0, -4, 0 },
+
+ /* 461-470 */
+ { 2, 1, 0, 2, 0 },
+ { 1, -1, 0, 4, 0 },
+ { 0, 1, 0, -2, 2 },
+ { 0, 0, 2, 0, -2 },
+ { 1, 0, -1, 0, 1 },
+ { 3, 0, 2, -2, 0 },
+ { 2, 0, 2, 2, 0 },
+ { 1, 2, 0, -4, 0 },
+ { 1, -1, 0, -3, 0 },
+ { 0, 1, 0, 4, 0 },
+
+ /* 471 - 480 */
+ { 0, 1, -2, 0, 0 },
+ { 2, 2, 2, -2, 2 },
+ { 0, 0, 0, 1, -2 },
+ { 0, 2, -2, 0, -1 },
+ { 4, 0, 2, -4, 2 },
+ { 2, 0, -4, 2, -2 },
+ { 2, -1, -2, 0, -2 },
+ { 1, 1, 4, -2, 2 },
+ { 1, 1, 2, -4, 2 },
+ { 1, 0, 2, 3, 2 },
+
+ /* 481-490 */
+ { 1, 0, 0, 4, -1 },
+ { 0, 0, 0, 4, 2 },
+ { 2, 0, 0, 4, 0 },
+ { 1, 1, -2, 2, 0 },
+ { 2, 1, 2, 1, 2 },
+ { 2, 1, 2, -4, 1 },
+ { 2, 0, 2, 1, 1 },
+ { 2, 0, -4, -2, -1 },
+ { 2, 0, -2, -6, -1 },
+ { 2, -1, 2, -1, 2 },
+
+ /* 491-500 */
+ { 1, -2, 2, 0, 1 },
+ { 1, -2, 0, -2, 1 },
+ { 1, -1, 0, -4, -1 },
+ { 0, 2, 2, 2, 2 },
+ { 0, 2, -2, -4, -2 },
+ { 0, 1, 2, 3, 2 },
+ { 0, 1, 0, -4, 1 },
+ { 3, 0, 0, -2, 1 },
+ { 2, 1, -2, 0, 1 },
+ { 2, 0, 4, -2, 1 },
+
+ /* 501-510 */
+ { 2, 0, 0, -3, -1 },
+ { 2, -2, 0, -2, 1 },
+ { 2, -1, 2, -2, 1 },
+ { 1, 0, 0, -6, -1 },
+ { 1, -2, 0, 0, -1 },
+ { 1, -2, -2, -2, -1 },
+ { 0, 1, 4, -2, 1 },
+ { 0, 0, 2, 3, 1 },
+ { 2, -1, 0, -1, 0 },
+ { 1, 3, 0, -2, 0 },
+
+ /* 511-520 */
+ { 0, 3, 0, -2, 0 },
+ { 2, -2, 2, -2, 2 },
+ { 0, 0, 4, -2, 0 },
+ { 4, -1, 2, 0, 2 },
+ { 2, 2, -2, -4, -2 },
+ { 4, 1, 2, 0, 2 },
+ { 4, -1, -2, -2, -2 },
+ { 2, 1, 0, -2, -2 },
+ { 2, 1, -2, -6, -2 },
+ { 2, 0, 0, -1, 1 },
+
+ /* 521-530 */
+ { 2, -1, -2, 2, -1 },
+ { 1, 1, -2, 2, -2 },
+ { 1, 1, -2, -3, -2 },
+ { 1, 0, 3, 0, 3 },
+ { 1, 0, -2, 1, 1 },
+ { 1, 0, -2, 0, 2 },
+ { 1, -1, 2, 1, 2 },
+ { 1, -1, 0, 0, -2 },
+ { 1, -1, -4, 2, -2 },
+ { 0, 3, -2, -2, -2 },
+
+ /* 531-540 */
+ { 0, 1, 0, 4, 1 },
+ { 0, 0, 4, 2, 2 },
+ { 3, 0, -2, -2, 0 },
+ { 2, -2, 0, 0, 0 },
+ { 1, 1, 2, -4, 0 },
+ { 1, 1, 0, -3, 0 },
+ { 1, 0, 2, -3, 0 },
+ { 1, -1, 2, -2, 0 },
+ { 0, 2, 0, 2, 0 },
+ { 0, 0, 2, 4, 0 },
+
+ /* 541-550 */
+ { 1, 0, 1, 0, 0 },
+ { 3, 1, 2, -2, 1 },
+ { 3, 0, 4, -2, 2 },
+ { 3, 0, 2, 1, 2 },
+ { 3, 0, 0, 2, -1 },
+ { 3, 0, 0, 0, 2 },
+ { 3, 0, -2, 2, -1 },
+ { 2, 0, 4, -4, 2 },
+ { 2, 0, 2, -3, 2 },
+ { 2, 0, 0, 4, 1 },
+
+ /* 551-560 */
+ { 2, 0, 0, -3, 1 },
+ { 2, 0, -4, 2, -1 },
+ { 2, 0, -2, -2, 1 },
+ { 2, -2, 2, 2, 2 },
+ { 2, -2, 0, -2, -2 },
+ { 2, -1, 0, 2, 1 },
+ { 2, -1, 0, 2, -1 },
+ { 1, 1, 2, 4, 2 },
+ { 1, 1, 0, 1, 1 },
+ { 1, 1, 0, 1, -1 },
+
+ /* 561-570 */
+ { 1, 1, -2, -6, -2 },
+ { 1, 0, 0, -3, -1 },
+ { 1, 0, -4, -2, -1 },
+ { 1, 0, -2, -6, -1 },
+ { 1, -2, 2, 2, 1 },
+ { 1, -2, -2, 2, -1 },
+ { 1, -1, -2, -4, -1 },
+ { 0, 2, 0, 0, 2 },
+ { 0, 1, 2, -4, 2 },
+ { 0, 1, -2, 4, -1 },
+
+ /* 571-580 */
+ { 5, 0, 0, 0, 0 },
+ { 3, 0, 0, -3, 0 },
+ { 2, 2, 0, -4, 0 },
+ { 1, -1, 2, 2, 0 },
+ { 0, 1, 0, 3, 0 },
+ { 4, 0, -2, 0, -1 },
+ { 3, 0, -2, -6, -1 },
+ { 3, 0, -2, -1, -1 },
+ { 2, 1, 2, 2, 1 },
+ { 2, 1, 0, 2, 1 },
+
+ /* 581-590 */
+ { 2, 0, 2, 4, 1 },
+ { 2, 0, 2, -6, 1 },
+ { 2, 0, 2, -2, -1 },
+ { 2, 0, 0, -6, -1 },
+ { 2, -1, -2, -2, -1 },
+ { 1, 2, 2, 0, 1 },
+ { 1, 2, 0, 0, 1 },
+ { 1, 0, 4, 0, 1 },
+ { 1, 0, 2, -6, 1 },
+ { 1, 0, 2, -4, -1 },
+
+ /* 591-600 */
+ { 1, 0, -1, -2, -1 },
+ { 1, -1, 2, 4, 1 },
+ { 1, -1, 2, -3, 1 },
+ { 1, -1, 0, 4, 1 },
+ { 1, -1, -2, 1, -1 },
+ { 0, 1, 2, -2, 3 },
+ { 3, 0, 0, -2, 0 },
+ { 1, 0, 1, -2, 0 },
+ { 0, 2, 0, -4, 0 },
+ { 0, 0, 2, -4, 0 },
+
+ /* 601-610 */
+ { 0, 0, 1, -1, 0 },
+ { 0, 0, 0, 6, 0 },
+ { 0, 2, 0, 0, -2 },
+ { 0, 1, -2, 2, -3 },
+ { 4, 0, 0, 2, 0 },
+ { 3, 0, 0, -1, 0 },
+ { 3, -1, 0, 2, 0 },
+ { 2, 1, 0, 1, 0 },
+ { 2, 1, 0, -6, 0 },
+ { 2, -1, 2, 0, 0 },
+
+ /* 611-620 */
+ { 1, 0, 2, -1, 0 },
+ { 1, -1, 0, 1, 0 },
+ { 1, -1, -2, -2, 0 },
+ { 0, 1, 2, 2, 0 },
+ { 0, 0, 2, -3, 0 },
+ { 2, 2, 0, -2, -1 },
+ { 2, -1, -2, 0, 1 },
+ { 1, 2, 2, -4, 1 },
+ { 0, 1, 4, -4, 2 },
+ { 0, 0, 0, 3, 2 },
+
+ /* 621-630 */
+ { 5, 0, 2, 0, 1 },
+ { 4, 1, 2, -2, 2 },
+ { 4, 0, -2, -2, 0 },
+ { 3, 1, 2, 2, 2 },
+ { 3, 1, 0, -2, 0 },
+ { 3, 1, -2, -6, -2 },
+ { 3, 0, 0, 0, -2 },
+ { 3, 0, -2, -4, -2 },
+ { 3, -1, 0, -3, 0 },
+ { 3, -1, 0, -2, 0 },
+
+ /* 631-640 */
+ { 2, 1, 2, 0, 0 },
+ { 2, 1, 2, -4, 2 },
+ { 2, 1, 2, -2, 0 },
+ { 2, 1, 0, -3, 0 },
+ { 2, 1, -2, 0, -2 },
+ { 2, 0, 0, -4, 2 },
+ { 2, 0, 0, -4, -2 },
+ { 2, 0, -2, -5, -2 },
+ { 2, -1, 2, 4, 2 },
+ { 2, -1, 0, -2, 2 },
+
+ /* 641-650 */
+ { 1, 3, -2, -2, -2 },
+ { 1, 1, 0, 0, -2 },
+ { 1, 1, 0, -6, 0 },
+ { 1, 1, -2, 1, -2 },
+ { 1, 1, -2, -1, -2 },
+ { 1, 0, 2, 1, 0 },
+ { 1, 0, 0, 3, 0 },
+ { 1, 0, 0, -4, 2 },
+ { 1, 0, -2, 4, -2 },
+ { 1, -2, 0, -1, 0 },
+
+ /* 651-NFLS */
+ { 0, 1, -4, 2, -1 },
+ { 1, 0, -2, 0, -3 },
+ { 0, 0, 4, -4, 4 }
+ };
+
+/* Number of frequencies: luni-solar */
+ static const int NFLS = (int) (sizeof mfals / sizeof (int) / 5);
+
+/* Fundamental-argument multipliers: planetary terms */
+ static const int mfapl[][14] = {
+
+ /* 1-10 */
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, -2, 5, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 1, -1, 1, 0, -8, 12, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, -1, 2, 0, 0, 0, 0, 0 },
+
+ /* 11-20 */
+ { 0, 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, 2, -5, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, -5, 6, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, 0, -1, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, -8, 3, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 6, -8, 3, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 },
+
+ /* 21-30 */
+ { 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 1, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 1, -1, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0 },
+ { 2, 0, 0, -2, -1, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1 },
+ { 2, 0, 0, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
+
+ /* 31-40 */
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 1 },
+ { 2, 0, 0, -2, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0 },
+
+ /* 41-50 */
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 1, -1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 2 },
+ { 1, 0, 0, 0, 0, 0,-18, 16, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2 },
+
+ /* 51-60 */
+ { 0, 0, 1, -1, 1, 0, -5, 7, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 0, 0, 0, 0,-10, 3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 0, 0, -5, 6, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, 0, 2 },
+ { 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1 },
+ { 1, 0, -2, 0, -2, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 2, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
+
+ /* 61-70 */
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, -2 },
+ { 0, 0, 1, -1, 1, 0, 0, 3, -8, 3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 8,-11, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0 },
+
+ /* 71-80 */
+ { 0, 0, 0, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, 0, -2, 0, 0, 0, 2 },
+ { 0, 0, 1, -1, 1, 0, 0, -5, 8, -3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 0 },
+
+ /* 81-90 */
+ { 2, 0, 0, -2, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, -1 },
+ { 2, 0, 0, -2, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 8,-13, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, 0, 0, -2, 5, 0, 0, 0 },
+ { 1, 0, 0, -1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2 },
+ { 1, 0, 0, 0, -1, 0,-18, 16, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, -5, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0 },
+
+ /* 91-100 */
+ { 1, 0, 0, -2, 0, 0, 19,-21, 3, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, -8, 13, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 7, -9, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2 },
+ { 1, 0, 0, 0, 1, 0,-18, 16, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 6,-16, 4, 5, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 3, -7, 0, 0, 0, 0, 0, -2 },
+
+ /* 101-110 */
+ { 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1 },
+ { 2, 0, 0, -2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0 },
+ { 2, 0, 0, -2, -1, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2 },
+
+ /* 111-120 */
+ { 0, 0, 0, 0, 1, 0, 0, 1, -2, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2 },
+ { 0, 0, 2, -2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0 },
+ { 2, 0, 0, -2, 0, 0, -6, 8, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0 },
+
+ /* 121-130 */
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 8,-10, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 1, -1, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, -2 },
+ { 1, 0, 0, -1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0 },
+
+ /* 131-140 */
+ { 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, 0, -3, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 1, 0, 2, -3, 0, 0, 0, 0, 0, 0 },
+
+ /* 141-150 */
+ { 1, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 9,-11, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, -4, 5, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, 0, -1, 0, 0, 0, 2 },
+
+ /* 151-160 */
+ { 1, 0, 0, -1, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, -4, 10, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, -2 },
+ { 0, 0, 2, -2, 1, 0, -4, 4, 0, 0, 0, 0, 0, 0 },
+
+ /* 161-170 */
+ { 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -3, 0, 0, 0, 0, 2 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 2, 0 },
+ { 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, 0, -9, 13, 0, 0, 0, 0, 0 },
+ { 2, 0, 2, 0, 2, 0, 0, 2, 0, -3, 0, 0, 0, 0 },
+
+ /* 171-180 */
+ { 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 1, -1, 2, 0, 0, -1, 0, 0, 2, 0, 0, 0 },
+ { 1, 0, 0, -1, -1, 0, -3, 4, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1 },
+ { 1, 0, 2, 0, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
+ { 1, 0, -2, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, -2, 4, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0 },
+
+ /* 181-190 */
+ { 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1 },
+ { 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, -8, 3, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 6,-10, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 7, -8, 3, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 1, 0, -3, 5, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 0, 0, -5, 7, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 1 },
+
+ /* 191-200 */
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 7,-10, 0, 0, 0, 0, 0, -2 },
+ { 1, 0, 0, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, -5, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 1, -1, 1, 0, 0, -9, 15, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, -2, 3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0 },
+
+ /* 201-210 */
+ { 0, 0, 0, 0, 0, 0, 0, 1, -4, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 2 },
+ { 2, 0, 0, -2, 1, 0, -6, 8, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 1, -1, 1, 0, 3, -6, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 8,-14, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
+
+ /* 211-220 */
+ { 0, 0, 0, 0, 1, 0, 0, 8,-15, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 0, 0 },
+ { 2, 0, 0, -2, 1, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2 },
+ { 2, 0, -1, -1, 0, 0, 0, 3, -7, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0 },
+
+ /* 221-230 */
+ { 2, 0, 0, -2, 0, 0, 0, -6, 8, 0, 0, 0, 0, 0 },
+ { 2, 0, 0, -2, 0, 0, 0, -5, 6, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 3, -9, 4, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, -2 },
+
+ /* 231-240 */
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 },
+ { 0, 0, 0, 0, 0, 0, 7,-11, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 3, -5, 4, 0, 0, 0, 0, 2 },
+ { 0, 0, 1, -1, 0, 0, 0, -1, 0, -1, 1, 0, 0, 0 },
+ { 2, 0, 0, 0, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, -2 },
+ { 0, 0, 1, -1, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, -1 },
+
+ /* 241-250 */
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, -1, 1, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, -8, 3, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 2, -4, 0, -3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 3, -5, 0, 2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, 0, -3, 0, 0, 0, 2 },
+ { 0, 0, 2, -2, 2, 0, -8, 11, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, -8, 3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, 0 },
+
+ /* 251-260 */
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 7, -9, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, -2, -2, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 5, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 1 },
+
+ /* 261-270 */
+ { 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -5, 0, 0, 2 },
+ { 2, 0, 0, -2, -1, 0, 0, -2, 0, 0, 5, 0, 0, 0 },
+ { 2, 0, 0, -2, -1, 0, -6, 8, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 0, -2, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, 0, 2, -5, 0, 0, 2 },
+ { 0, 0, 0, 0, 1, 0, 3, -7, 4, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
+
+ /* 271-280 */
+ { 0, 0, 1, -1, 0, 0, 0, -1, 0, -2, 5, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, 0, -3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 6,-15, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 2 },
+ { 1, 0, 0, -1, 0, 0, 0, -3, 4, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, -3, 7, -4, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, 0, -2, 0, 0, 0, 2 },
+
+ /* 281-290 */
+ { 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 1 },
+ { 0, 0, 2, -2, 2, 0, -5, 6, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 2, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 6,-11, 0, 0, 0, 0, -2 },
+
+ /* 291-300 */
+ { 0, 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, -2 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, 3, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 9,-12, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 1 },
+ { 0, 0, 1, -1, 0, 0, -8, 12, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, -2, 3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, -1 },
+
+ /* 301-310 */
+ { 0, 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 1, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 1, -1, -1, 0, 0, 0, -2, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, -5, 0, 0, 0, 0, -2 },
+ { 2, 0, 0, -2, 0, 0, 0, -2, 0, 3, -1, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 2 },
+
+ /* 311-320 */
+ { 0, 0, 0, 0, 0, 0, 9, -9, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 3, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, 2, -4, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 1 },
+ { 0, 0, 1, -1, 2, 0, 0, -1, 0, 2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2 },
+ { 0, 0, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
+
+ /* 321-330 */
+ { 0, 0, 2, 0, 2, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, 0, -3, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 },
+ { 2, 0, -1, -1, -1, 0, 0, -1, 0, 3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 4, -3, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 5,-10, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 1 },
+ { 0, 0, 2, -2, 1, -1, 0, 2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 2, 0, 0 },
+
+ /* 331-340 */
+ { 0, 0, 0, 0, 1, 0, 3, -5, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 0, -2, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 9, -9, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, 0, -8, 11, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, 0, -2, 0, 0, 2, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, -1, 2, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 2, -6, 0, 0, 0, 0, 0, -2 },
+
+ /* 341-350 */
+ { 0, 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, -2, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 7,-13, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, 0, -2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 0, 0, 2 },
+ { 0, 0, 2, -2, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 8,-10, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 1 },
+
+ /* 351-360 */
+ { 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0 },
+ { 2, 0, 0, -2, -1, 0, 0, -5, 6, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0, 0, -2 },
+ { 2, 0, -1, -1, -1, 0, 0, 3, -7, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0 },
+
+ /* 361-370 */
+ { 2, 0, 0, -2, 0, 0, 0, -2, 0, 4, -3, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 6,-11, 0, 0, 0, 0, 0 },
+ { 2, 0, 0, -2, 1, 0, 0, -6, 8, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -8, 1, 5, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 6, -5, 0, 0, 0, 0, 2 },
+ { 1, 0, -2, -2, -2, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 2, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1 },
+
+ /* 371-380 */
+ { 0, 0, 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, -2, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, -6, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 3, -5, 0, 2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 7,-13, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 2 },
+
+ /* 381-390 */
+ { 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, -8, 15, 0, 0, 0, 0, 0 },
+ { 2, 0, 0, -2, -2, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
+ { 2, 0, -1, -1, -1, 0, 0, -1, 0, 2, 0, 0, 0, 0 },
+ { 1, 0, 2, -2, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
+ { 1, 0, -1, 1, -1, 0,-18, 17, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, 0, 2, 0, 0, 1, 0, -1, 0, 0, 0, 0 },
+ { 0, 0, 2, 0, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, -1, 0, -5, 6, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
+
+ /* 391-400 */
+ { 0, 0, 0, 0, 1, 0, 2, -2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 8,-16, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 },
+ { 0, 0, 0, 0, 2, 0, 0, -1, 2, 0, 0, 0, 0, 0 },
+ { 2, 0, -1, -1, -2, 0, 0, -1, 0, 2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 6,-10, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, -2, 4, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2 },
+ { 2, 0, 0, -2, -1, 0, 0, -2, 0, 4, -5, 0, 0, 0 },
+
+ /* 401-410 */
+ { 2, 0, 0, -2, -1, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
+ { 2, 0, -1, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 0, -1, -1, 0, 0, -2, 2, 0, 0, 0, 0, 0 },
+ { 1, 0, -1, -1, -1, 0, 20,-20, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, -2, 1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 5, -8, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0 },
+
+ /* 411-420 */
+ { 0, 0, 0, 0, 0, 0, 9,-11, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, -2, 0, 0, 0 },
+ { 0, 0, 1, -1, 2, 0, 0, -1, 0, -2, 5, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0 },
+
+ /* 421-430 */
+ { 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, -6, 0, 0, 0, 0, -2 },
+ { 1, 0, 0, -2, 0, 0, 20,-21, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 8,-12, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 2, 0, 0, -1, 0, -1, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 8,-12, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 9,-17, 0, 0, 0, 0, 0 },
+
+ /* 431-440 */
+ { 0, 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -8, 1, 5, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, -7, 0, 0, 0, 0, -2 },
+ { 1, 0, 0, -1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0 },
+ { 1, 0, -2, 0, -2, 0,-10, 3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, -9, 17, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 1, -4, 0, 0, 0, 0, 0, -2 },
+ { 1, 0, -2, -2, -2, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
+ { 1, 0, -1, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
+
+ /* 441-450 */
+ { 0, 0, 2, -2, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 2, 0, 0, -1, 0, 0, 1, 0, 0, 0 },
+ { 0, 0, 1, -1, 2, 0, -5, 7, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 5,-10, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, -5, 0, 0, 0, -2 },
+
+ /* 451-460 */
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, -5, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 5, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 1 },
+ { 1, 0, 0, -2, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 3, -7, 4, 0, 0, 0, 0, 0 },
+ { 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, 1, 0, -2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 6,-10, 0, 0, 0, 0, -2 },
+
+ /* 461-470 */
+ { 1, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, 0, -3, 0, 3, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, -5, 5, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 1, -3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 0, -4, 6, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, -5, 6, 0, 0, 0, 0, 0, 0 },
+
+ /* 471-480 */
+ { 0, 0, 0, 0, 1, 0, 3, -4, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 7,-10, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 3, -8, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 7, -9, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 7, -8, 0, 0, 0, 0, 2 },
+
+ /* 481-490 */
+ { 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, -8, 3, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1 },
+ { 2, 0, 0, -2, -1, 0, 0, -6, 8, 0, 0, 0, 0, 0 },
+ { 2, 0, -1, -1, 1, 0, 0, 3, -7, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, 0, -7, 9, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, -1 },
+
+ /* 491-500 */
+ { 0, 0, 1, -1, 2, 0, -8, 12, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
+ { 1, 0, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 7, -8, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0 },
+ { 2, 0, 0, -2, 1, 0, 0, -5, 6, 0, 0, 0, 0, 0 },
+ { 2, 0, 0, -2, -1, 0, 0, -2, 0, 3, -1, 0, 0, 0 },
+ { 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 0, -2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
+ { 1, 0, 0, -2, -1, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
+
+ /* 501-510 */
+ { 1, 0, 0, -1, -1, 0, 0, -3, 4, 0, 0, 0, 0, 0 },
+ { 1, 0, -1, 0, -1, 0, -3, 5, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, 0, -4, 4, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, -8, 11, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 0, 0, 0, -9, 13, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 0, 1, -4, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, 0, -1, 0, 1, -3, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, 7,-13, 0, 0, 0, 0, 0 },
+
+ /* 511-520 */
+ { 0, 0, 0, 0, 1, 0, 0, 2, 0, -2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 7,-11, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 1 },
+
+ /* 521-530 */
+ { 0, 0, 0, 0, 0, 0, 1, -4, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 9,-17, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0 },
+ { 2, 0, 0, -2, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
+
+ /* 531-540 */
+ { 2, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
+ { 1, 0, 0, 0, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
+ { 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 0, -2, 0, 0, 17,-16, 0, -2, 0, 0, 0, 0 },
+ { 1, 0, 0, -1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, 0, -4, 0, 0, 0, 0 },
+
+ /* 541-550 */
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2 },
+ { 2, 0, 0, -2, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0 },
+ { 2, 0, 0, -2, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0 },
+ { 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
+ { 1, 0, 0, 0, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 0, -2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 0, -2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
+ { 1, 0, 0, -2, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
+
+ /* 551-560 */
+ { 1, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0 },
+ { 0, 0, 1, -1, 0, 0, -4, 5, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 2, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
+
+ /* 561-570 */
+ { 0, 0, 0, 0, 0, 0, 8, -9, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0 },
+ { 2, 0, -2, -2, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
+ { 1, 0, 0, 0, 1, 0,-10, 3, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 0, 0, -1, 0,-10, 3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, 0, 2, 0, 2, -3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0 },
+
+ /* 571-580 */
+ { 0, 0, 2, 0, 2, 0, -2, 3, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0 },
+ { 2, 0, 2, -2, 2, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
+ { 2, 0, 1, -3, 1, 0, -6, 7, 0, 0, 0, 0, 0, 0 },
+ { 2, 0, 0, -2, 0, 0, 2, -5, 0, 0, 0, 0, 0, 0 },
+ { 2, 0, 0, -2, 0, 0, 0, -2, 0, 5, -5, 0, 0, 0 },
+ { 2, 0, 0, -2, 0, 0, 0, -2, 0, 1, 5, 0, 0, 0 },
+ { 2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 5, 0, 0, 0 },
+
+ /* 581-590 */
+ { 2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0 },
+ { 2, 0, 0, -2, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0 },
+ { 2, 0, -2, 0, -2, 0, 0, 5, -9, 0, 0, 0, 0, 0 },
+ { 2, 0, -1, -1, 0, 0, 0, -1, 0, 3, 0, 0, 0, 0 },
+ { 1, 0, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
+ { 1, 0, 2, 0, 2, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
+ { 1, 0, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 2, -2, 2, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 },
+
+ /* 591-600 */
+ { 1, 0, 0, 0, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
+ { 1, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 },
+ { 1, 0, -2, -2, -2, 0, 0, 1, 0, -1, 0, 0, 0, 0 },
+ { 1, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
+ { 1, 0, -1, -1, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, 2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, 0, -2, 0, 1, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 1, 0, 0,-10, 15, 0, 0, 0, 0, 0 },
+ { 0, 0, 2, -2, 0, -1, 0, 2, 0, 0, 0, 0, 0, 0 },
+
+ /* 601-610 */
+ { 0, 0, 1, -1, 2, 0, 0, -1, 0, 0, -1, 0, 0, 0 },
+ { 0, 0, 1, -1, 2, 0, -3, 4, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, -4, 6, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0 },
+ { 0, 0, 1, -1, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 1, -1, -1, 0, -5, 7, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 },
+
+ /* 611-620 */
+ { 0, 0, 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 2, 0, -3, 5, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 9,-13, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 8,-14, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 8,-11, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, -2 },
+
+ /* 621-630 */
+ { 0, 0, 0, 0, 0, 0, 5, -6, -4, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 3, -3, 0, 2, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 7,-12, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, -2 },
+
+ /* 631-640 */
+ { 0, 0, 0, 0, 0, 0, 0, 6, -8, 1, 5, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 6,-10, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, 0, -4, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, -1 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, -8, 3, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 5,-16, 4, 5, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 5,-13, 0, 0, 0, 0, -2 },
+
+ /* 641-650 */
+ { 0, 0, 0, 0, 0, 0, 0, 3, 0, -5, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, -9, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 3, -7, 0, 0, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -3, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 2, -8, 1, 5, 0, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -5, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -3, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 1, 0, -3, 5, 0, 0, 0 },
+
+ /* 651-NFPL */
+ { 0, 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -6, 3, 0, -2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 },
+ { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 }
+ };
+
+/* Number of frequencies: planetary */
+ static const int NFPL = (int) (sizeof mfapl / sizeof (int) / 14);
+
+/* Pointers into amplitudes array, one pointer per frequency */
+ static const int nc[] = {
+
+ /* 1-100 */
+ 1, 21, 37, 51, 65, 79, 91, 103, 115, 127,
+ 139, 151, 163, 172, 184, 196, 207, 219, 231, 240,
+ 252, 261, 273, 285, 297, 309, 318, 327, 339, 351,
+ 363, 372, 384, 396, 405, 415, 423, 435, 444, 452,
+ 460, 467, 474, 482, 490, 498, 506, 513, 521, 528,
+ 536, 543, 551, 559, 566, 574, 582, 590, 597, 605,
+ 613, 620, 628, 636, 644, 651, 658, 666, 674, 680,
+ 687, 695, 702, 710, 717, 725, 732, 739, 746, 753,
+ 760, 767, 774, 782, 790, 798, 805, 812, 819, 826,
+ 833, 840, 846, 853, 860, 867, 874, 881, 888, 895,
+
+ /* 101-200 */
+ 901, 908, 914, 921, 928, 934, 941, 948, 955, 962,
+ 969, 976, 982, 989, 996, 1003, 1010, 1017, 1024, 1031,
+ 1037, 1043, 1050, 1057, 1064, 1071, 1078, 1084, 1091, 1098,
+ 1104, 1112, 1118, 1124, 1131, 1138, 1145, 1151, 1157, 1164,
+ 1171, 1178, 1185, 1192, 1199, 1205, 1212, 1218, 1226, 1232,
+ 1239, 1245, 1252, 1259, 1266, 1272, 1278, 1284, 1292, 1298,
+ 1304, 1310, 1316, 1323, 1329, 1335, 1341, 1347, 1353, 1359,
+ 1365, 1371, 1377, 1383, 1389, 1396, 1402, 1408, 1414, 1420,
+ 1426, 1434, 1440, 1446, 1452, 1459, 1465, 1471, 1477, 1482,
+ 1488, 1493, 1499, 1504, 1509, 1514, 1520, 1527, 1532, 1538,
+
+ /* 201-300 */
+ 1543, 1548, 1553, 1558, 1564, 1569, 1574, 1579, 1584, 1589,
+ 1594, 1596, 1598, 1600, 1602, 1605, 1608, 1610, 1612, 1617,
+ 1619, 1623, 1625, 1627, 1629, 1632, 1634, 1640, 1642, 1644,
+ 1646, 1648, 1650, 1652, 1654, 1658, 1660, 1662, 1664, 1668,
+ 1670, 1672, 1673, 1675, 1679, 1681, 1683, 1684, 1686, 1688,
+ 1690, 1693, 1695, 1697, 1701, 1703, 1705, 1707, 1709, 1711,
+ 1712, 1715, 1717, 1721, 1723, 1725, 1727, 1729, 1731, 1733,
+ 1735, 1737, 1739, 1741, 1743, 1745, 1747, 1749, 1751, 1753,
+ 1755, 1757, 1759, 1761, 1762, 1764, 1766, 1768, 1769, 1771,
+ 1773, 1775, 1777, 1779, 1781, 1783, 1785, 1787, 1788, 1790,
+
+ /* 301-400 */
+ 1792, 1794, 1796, 1798, 1800, 1802, 1804, 1806, 1807, 1809,
+ 1811, 1815, 1817, 1819, 1821, 1823, 1825, 1827, 1829, 1831,
+ 1833, 1835, 1837, 1839, 1840, 1842, 1844, 1848, 1850, 1852,
+ 1854, 1856, 1858, 1859, 1860, 1862, 1864, 1866, 1868, 1869,
+ 1871, 1873, 1875, 1877, 1879, 1881, 1883, 1885, 1887, 1889,
+ 1891, 1892, 1896, 1898, 1900, 1901, 1903, 1905, 1907, 1909,
+ 1910, 1911, 1913, 1915, 1919, 1921, 1923, 1927, 1929, 1931,
+ 1933, 1935, 1937, 1939, 1943, 1945, 1947, 1948, 1949, 1951,
+ 1953, 1955, 1957, 1958, 1960, 1962, 1964, 1966, 1968, 1970,
+ 1971, 1973, 1974, 1975, 1977, 1979, 1980, 1981, 1982, 1984,
+
+ /* 401-500 */
+ 1986, 1988, 1990, 1992, 1994, 1995, 1997, 1999, 2001, 2003,
+ 2005, 2007, 2008, 2009, 2011, 2013, 2015, 2017, 2019, 2021,
+ 2023, 2024, 2025, 2027, 2029, 2031, 2033, 2035, 2037, 2041,
+ 2043, 2045, 2046, 2047, 2049, 2051, 2053, 2055, 2056, 2057,
+ 2059, 2061, 2063, 2065, 2067, 2069, 2070, 2071, 2072, 2074,
+ 2076, 2078, 2080, 2082, 2084, 2086, 2088, 2090, 2092, 2094,
+ 2095, 2096, 2097, 2099, 2101, 2105, 2106, 2107, 2108, 2109,
+ 2110, 2111, 2113, 2115, 2119, 2121, 2123, 2125, 2127, 2129,
+ 2131, 2133, 2135, 2136, 2137, 2139, 2141, 2143, 2145, 2147,
+ 2149, 2151, 2153, 2155, 2157, 2159, 2161, 2163, 2165, 2167,
+
+ /* 501-600 */
+ 2169, 2171, 2173, 2175, 2177, 2179, 2181, 2183, 2185, 2186,
+ 2187, 2188, 2192, 2193, 2195, 2197, 2199, 2201, 2203, 2205,
+ 2207, 2209, 2211, 2213, 2217, 2219, 2221, 2223, 2225, 2227,
+ 2229, 2231, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240,
+ 2241, 2244, 2246, 2248, 2250, 2252, 2254, 2256, 2258, 2260,
+ 2262, 2264, 2266, 2268, 2270, 2272, 2274, 2276, 2278, 2280,
+ 2282, 2284, 2286, 2288, 2290, 2292, 2294, 2296, 2298, 2300,
+ 2302, 2303, 2304, 2305, 2306, 2307, 2309, 2311, 2313, 2315,
+ 2317, 2319, 2321, 2323, 2325, 2327, 2329, 2331, 2333, 2335,
+ 2337, 2341, 2343, 2345, 2347, 2349, 2351, 2352, 2355, 2356,
+
+ /* 601-700 */
+ 2357, 2358, 2359, 2361, 2363, 2364, 2365, 2366, 2367, 2368,
+ 2369, 2370, 2371, 2372, 2373, 2374, 2376, 2378, 2380, 2382,
+ 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393,
+ 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403,
+ 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413,
+ 2414, 2415, 2417, 2418, 2430, 2438, 2445, 2453, 2460, 2468,
+ 2474, 2480, 2488, 2496, 2504, 2512, 2520, 2527, 2535, 2543,
+ 2550, 2558, 2566, 2574, 2580, 2588, 2596, 2604, 2612, 2619,
+ 2627, 2634, 2642, 2648, 2656, 2664, 2671, 2679, 2685, 2693,
+ 2701, 2709, 2717, 2725, 2733, 2739, 2747, 2753, 2761, 2769,
+
+ /* 701-800 */
+ 2777, 2785, 2793, 2801, 2809, 2817, 2825, 2833, 2841, 2848,
+ 2856, 2864, 2872, 2878, 2884, 2892, 2898, 2906, 2914, 2922,
+ 2930, 2938, 2944, 2952, 2958, 2966, 2974, 2982, 2988, 2996,
+ 3001, 3009, 3017, 3025, 3032, 3039, 3045, 3052, 3059, 3067,
+ 3069, 3076, 3083, 3090, 3098, 3105, 3109, 3111, 3113, 3120,
+ 3124, 3128, 3132, 3136, 3140, 3144, 3146, 3150, 3158, 3161,
+ 3165, 3166, 3168, 3172, 3176, 3180, 3182, 3185, 3189, 3193,
+ 3194, 3197, 3200, 3204, 3208, 3212, 3216, 3219, 3221, 3222,
+ 3226, 3230, 3234, 3238, 3242, 3243, 3247, 3251, 3254, 3258,
+ 3262, 3266, 3270, 3274, 3275, 3279, 3283, 3287, 3289, 3293,
+
+ /* 801-900 */
+ 3296, 3300, 3303, 3307, 3311, 3315, 3319, 3321, 3324, 3327,
+ 3330, 3334, 3338, 3340, 3342, 3346, 3350, 3354, 3358, 3361,
+ 3365, 3369, 3373, 3377, 3381, 3385, 3389, 3393, 3394, 3398,
+ 3402, 3406, 3410, 3413, 3417, 3421, 3425, 3429, 3433, 3435,
+ 3439, 3443, 3446, 3450, 3453, 3457, 3458, 3461, 3464, 3468,
+ 3472, 3476, 3478, 3481, 3485, 3489, 3493, 3497, 3501, 3505,
+ 3507, 3511, 3514, 3517, 3521, 3524, 3525, 3527, 3529, 3533,
+ 3536, 3540, 3541, 3545, 3548, 3551, 3555, 3559, 3563, 3567,
+ 3569, 3570, 3574, 3576, 3578, 3582, 3586, 3590, 3593, 3596,
+ 3600, 3604, 3608, 3612, 3616, 3620, 3623, 3626, 3630, 3632,
+
+ /* 901-1000 */
+ 3636, 3640, 3643, 3646, 3648, 3652, 3656, 3660, 3664, 3667,
+ 3669, 3671, 3675, 3679, 3683, 3687, 3689, 3693, 3694, 3695,
+ 3699, 3703, 3705, 3707, 3710, 3713, 3717, 3721, 3725, 3729,
+ 3733, 3736, 3740, 3744, 3748, 3752, 3754, 3757, 3759, 3763,
+ 3767, 3770, 3773, 3777, 3779, 3783, 3786, 3790, 3794, 3798,
+ 3801, 3805, 3809, 3813, 3817, 3821, 3825, 3827, 3831, 3835,
+ 3836, 3837, 3840, 3844, 3848, 3852, 3856, 3859, 3863, 3867,
+ 3869, 3871, 3875, 3879, 3883, 3887, 3890, 3894, 3898, 3901,
+ 3905, 3909, 3913, 3917, 3921, 3922, 3923, 3924, 3926, 3930,
+ 3932, 3936, 3938, 3940, 3944, 3948, 3952, 3956, 3959, 3963,
+
+ /* 1001-1100 */
+ 3965, 3969, 3973, 3977, 3979, 3981, 3982, 3986, 3989, 3993,
+ 3997, 4001, 4004, 4006, 4009, 4012, 4016, 4020, 4024, 4026,
+ 4028, 4032, 4036, 4040, 4044, 4046, 4050, 4054, 4058, 4060,
+ 4062, 4063, 4064, 4068, 4071, 4075, 4077, 4081, 4083, 4087,
+ 4089, 4091, 4095, 4099, 4101, 4103, 4105, 4107, 4111, 4115,
+ 4119, 4123, 4127, 4129, 4131, 4135, 4139, 4141, 4143, 4145,
+ 4149, 4153, 4157, 4161, 4165, 4169, 4173, 4177, 4180, 4183,
+ 4187, 4191, 4195, 4198, 4201, 4205, 4209, 4212, 4213, 4216,
+ 4217, 4221, 4223, 4226, 4230, 4234, 4236, 4240, 4244, 4248,
+ 4252, 4256, 4258, 4262, 4264, 4266, 4268, 4270, 4272, 4276,
+
+ /* 1101-1200 */
+ 4279, 4283, 4285, 4287, 4289, 4293, 4295, 4299, 4300, 4301,
+ 4305, 4309, 4313, 4317, 4319, 4323, 4325, 4329, 4331, 4333,
+ 4335, 4337, 4341, 4345, 4349, 4351, 4353, 4357, 4361, 4365,
+ 4367, 4369, 4373, 4377, 4381, 4383, 4387, 4389, 4391, 4395,
+ 4399, 4403, 4407, 4411, 4413, 4414, 4415, 4418, 4419, 4421,
+ 4423, 4427, 4429, 4431, 4433, 4435, 4437, 4439, 4443, 4446,
+ 4450, 4452, 4456, 4458, 4460, 4462, 4466, 4469, 4473, 4477,
+ 4481, 4483, 4487, 4489, 4491, 4493, 4497, 4499, 4501, 4504,
+ 4506, 4510, 4513, 4514, 4515, 4518, 4521, 4522, 4525, 4526,
+ 4527, 4530, 4533, 4534, 4537, 4541, 4542, 4543, 4544, 4545,
+
+ /* 1201-1300 */
+ 4546, 4547, 4550, 4553, 4554, 4555, 4558, 4561, 4564, 4567,
+ 4568, 4571, 4574, 4575, 4578, 4581, 4582, 4585, 4586, 4588,
+ 4590, 4592, 4596, 4598, 4602, 4604, 4608, 4612, 4613, 4616,
+ 4619, 4622, 4623, 4624, 4625, 4626, 4629, 4632, 4633, 4636,
+ 4639, 4640, 4641, 4642, 4643, 4644, 4645, 4648, 4649, 4650,
+ 4651, 4652, 4653, 4656, 4657, 4660, 4661, 4664, 4667, 4670,
+ 4671, 4674, 4675, 4676, 4677, 4678, 4681, 4682, 4683, 4684,
+ 4687, 4688, 4689, 4692, 4693, 4696, 4697, 4700, 4701, 4702,
+ 4703, 4704, 4707, 4708, 4711, 4712, 4715, 4716, 4717, 4718,
+ 4719, 4720, 4721, 4722, 4723, 4726, 4729, 4730, 4733, 4736,
+
+ /* 1301-(NFLS+NFPL) */
+ 4737, 4740, 4741, 4742, 4745, 4746, 4749, 4752, 4753
+ };
+
+/* Amplitude coefficients (microarcsec); indexed using the nc array. */
+ static const double a[] = {
+
+ /* 1-105 */
+ -6844318.44, 9205236.26,1328.67,1538.18, 205833.11,
+ 153041.79, -3309.73, 853.32,2037.98, -2301.27,
+ 81.46, 120.56, -20.39, -15.22, 1.73, -1.61, -0.10, 0.11,
+ -0.02, -0.02, -523908.04, 573033.42,-544.75,-458.66,
+ 12814.01, 11714.49, 198.97,-290.91, 155.74,-143.27,
+ -2.75, -1.03, -1.27, -1.16, 0.00, -0.01, -90552.22,
+ 97846.69, 111.23, 137.41,2187.91,2024.68, 41.44, -51.26,
+ 26.92, -24.46, -0.46, -0.28, -0.22, -0.20, 82168.76,
+ -89618.24, -27.64, -29.05, -2004.36, -1837.32,
+ -36.07, 48.00, -24.43, 22.41, 0.47, 0.24, 0.20, 0.18,
+ 58707.02,7387.02, 470.05,-192.40, 164.33, -1312.21,
+ -179.73, -28.93, -17.36, -1.83, -0.50, 3.57, 0.00, 0.13,
+ -20557.78, 22438.42, -20.84, -17.40, 501.82, 459.68,
+ 59.20, -67.30, 6.08, -5.61, -1.36, -1.19, 28288.28,
+ -674.99, -34.69, 35.80, -15.07,-632.54, -11.19, 0.78, -8.41,
+ 0.17, 0.01, 0.07, -15406.85, 20069.50, 15.12,
+
+ /* 106-219 */
+ 31.80, 448.76, 344.50, -5.77, 1.41, 4.59, -5.02, 0.17,
+ 0.24, -11991.74, 12902.66, 32.46, 36.70, 288.49,
+ 268.14, 5.70, -7.06, 3.57, -3.23, -0.06, -0.04,
+ -8584.95, -9592.72, 4.42, -13.20,-214.50, 192.06,
+ 23.87, 29.83, 2.54, 2.40, 0.60, -0.48,5095.50,
+ -6918.22, 7.19, 3.92,-154.91,-113.94, 2.86, -1.04,
+ -1.52, 1.73, -0.07, -0.10, -4910.93, -5331.13,
+ 0.76, 0.40,-119.21, 109.81, 2.16, 3.20, 1.46, 1.33,
+ 0.04, -0.02, -6245.02,-123.48, -6.68, -8.20, -2.76,
+ 139.64, 2.71, 0.15, 1.86,2511.85, -3323.89, 1.07,
+ -0.90, -74.33, -56.17, 1.16, -0.01, -0.75, 0.83, -0.02,
+ -0.04,2307.58,3143.98, -7.52, 7.50, 70.31, -51.60, 1.46,
+ 0.16, -0.69, -0.79, 0.02, -0.05,2372.58,2554.51, 5.93,
+ -6.60, 57.12, -53.05, -0.96, -1.24, -0.71, -0.64, -0.01,
+ -2053.16,2636.13, 5.13, 7.80, 58.94, 45.91, -0.42,
+ -0.12, 0.61, -0.66, 0.02, 0.03, -1825.49,
+
+ /* 220-339 */
+ -2423.59, 1.23, -2.00, -54.19, 40.82, -1.07, -1.02,
+ 0.54, 0.61, -0.04, 0.04,2521.07,-122.28, -5.97, 2.90,
+ -2.73, -56.37, -0.82, 0.13, -0.75, -1534.09,1645.01,
+ 6.29, 6.80, 36.78, 34.30, 0.92, -1.25, 0.46, -0.41,
+ -0.02, -0.01,1898.27, 47.70, -0.72, 2.50, 1.07, -42.45,
+ -0.94, 0.02, -0.56, -1292.02, -1387.00, 0.00,
+ 0.00, -31.01, 28.89, 0.68, 0.00, 0.38, 0.35, -0.01,
+ -0.01, -1234.96,1323.81, 5.21, 5.90, 29.60, 27.61,
+ 0.74, -1.22, 0.37, -0.33, -0.02, -0.01,1137.48,
+ -1233.89, -0.04, -0.30, -27.59, -25.43, -0.61, 1.00,
+ -0.34, 0.31, 0.01, 0.01,-813.13, -1075.60, 0.40,
+ 0.30, -24.05, 18.18, -0.40, -0.01, 0.24, 0.27, -0.01,
+ 0.01,1163.22, -60.90, -2.94, 1.30, -1.36, -26.01, -0.58,
+ 0.07, -0.35,1029.70, -55.55, -2.63, 1.10, -1.25, -23.02,
+ -0.52, 0.06, -0.31,-556.26, 852.85, 3.16, -4.48, 19.06,
+ 12.44, -0.81, -0.27, 0.17, -0.21, 0.00, 0.02,-603.52,
+
+ /* 340-467 */
+ -800.34, 0.44, 0.10, -17.90, 13.49, -0.08, -0.01, 0.18,
+ 0.20, -0.01, 0.01,-628.24, 684.99, -0.64, -0.50, 15.32,
+ 14.05, 3.18, -4.19, 0.19, -0.17, -0.09, -0.07,-866.48,
+ -16.26, 0.52, -1.30, -0.36, 19.37, 0.43, -0.01, 0.26,
+ -512.37, 695.54, -1.47, -1.40, 15.55, 11.46, -0.16, 0.03,
+ 0.15, -0.17, 0.01, 0.01, 506.65, 643.75, 2.54, -2.62,
+ 14.40, -11.33, -0.77, -0.06, -0.15, -0.16, 0.00, 0.01,
+ 664.57, 16.81, -0.40, 1.00, 0.38, -14.86, -3.71, -0.09,
+ -0.20, 405.91, 522.11, 0.99, -1.50, 11.67, -9.08, -0.25,
+ -0.02, -0.12, -0.13,-305.78, 326.60, 1.75, 1.90, 7.30,
+ 6.84, 0.20, -0.04, 300.99,-325.03, -0.44, -0.50, -7.27,
+ -6.73, -1.01, 0.01, 0.00, 0.08, 0.00, 0.02, 438.51,
+ 10.47, -0.56, -0.20, 0.24, -9.81, -0.24, 0.01, -0.13,
+ -264.02, 335.24, 0.99, 1.40, 7.49, 5.90, -0.27, -0.02,
+ 284.09, 307.03, 0.32, -0.40, 6.87, -6.35, -0.99, -0.01,
+ -250.54, 327.11, 0.08, 0.40, 7.31, 5.60, -0.30, 230.72,
+
+ /* 468-595 */
+ -304.46, 0.08, -0.10, -6.81, -5.16, 0.27, 229.78, 304.17,
+ -0.60, 0.50, 6.80, -5.14, 0.33, 0.01, 256.30,-276.81,
+ -0.28, -0.40, -6.19, -5.73, -0.14, 0.01,-212.82, 269.45,
+ 0.84, 1.20, 6.02, 4.76, 0.14, -0.02, 196.64, 272.05,
+ -0.84, 0.90, 6.08, -4.40, 0.35, 0.02, 188.95, 272.22,
+ -0.12, 0.30, 6.09, -4.22, 0.34,-292.37, -5.10, -0.32,
+ -0.40, -0.11, 6.54, 0.14, 0.01, 161.79,-220.67, 0.24,
+ 0.10, -4.93, -3.62, -0.08, 261.54, -19.94, -0.95, 0.20,
+ -0.45, -5.85, -0.13, 0.02, 142.16,-190.79, 0.20, 0.10,
+ -4.27, -3.18, -0.07, 187.95, -4.11, -0.24, 0.30, -0.09,
+ -4.20, -0.09, 0.01, 0.00, 0.00, -79.08, 167.90, 0.04,
+ 0.00, 3.75, 1.77, 121.98, 131.04, -0.08, 0.10, 2.93,
+ -2.73, -0.06,-172.95, -8.11, -0.40, -0.20, -0.18, 3.87,
+ 0.09, 0.01,-160.15, -55.30, -14.04, 13.90, -1.23, 3.58,
+ 0.40, 0.31,-115.40, 123.20, 0.60, 0.70, 2.75, 2.58,
+ 0.08, -0.01,-168.26, -2.00, 0.20, -0.20, -0.04, 3.76,
+
+ /* 596-723 */
+ 0.08,-114.49, 123.20, 0.32, 0.40, 2.75, 2.56, 0.07,
+ -0.01, 112.14, 120.70, 0.28, -0.30, 2.70, -2.51, -0.07,
+ -0.01, 161.34, 4.03, 0.20, 0.20, 0.09, -3.61, -0.08,
+ 91.31, 126.64, -0.40, 0.40, 2.83, -2.04, -0.04, 0.01,
+ 105.29, 112.90, 0.44, -0.50, 2.52, -2.35, -0.07, -0.01,
+ 98.69,-106.20, -0.28, -0.30, -2.37, -2.21, -0.06, 0.01,
+ 86.74,-112.94, -0.08, -0.20, -2.53, -1.94, -0.05,-134.81,
+ 3.51, 0.20, -0.20, 0.08, 3.01, 0.07, 79.03, 107.31,
+ -0.24, 0.20, 2.40, -1.77, -0.04, 0.01, 132.81, -10.77,
+ -0.52, 0.10, -0.24, -2.97, -0.07, 0.01,-130.31, -0.90,
+ 0.04, 0.00, 0.00, 2.91, -78.56, 85.32, 0.00, 0.00,
+ 1.91, 1.76, 0.04, 0.00, 0.00, -41.53, 89.10, 0.02,
+ 0.00, 1.99, 0.93, 66.03, -71.00, -0.20, -0.20, -1.59,
+ -1.48, -0.04, 60.50, 64.70, 0.36, -0.40, 1.45, -1.35,
+ -0.04, -0.01, -52.27, -70.01, 0.00, 0.00, -1.57, 1.17,
+ 0.03, -52.95, 66.29, 0.32, 0.40, 1.48, 1.18, 0.04,
+
+ /* 724-851 */
+ -0.01, 51.02, 67.25, 0.00, 0.00, 1.50, -1.14, -0.03,
+ -55.66, -60.92, 0.16, -0.20, -1.36, 1.24, 0.03, -54.81,
+ -59.20, -0.08, 0.20, -1.32, 1.23, 0.03, 51.32, -55.60,
+ 0.00, 0.00, -1.24, -1.15, -0.03, 48.29, 51.80, 0.20,
+ -0.20, 1.16, -1.08, -0.03, -45.59, -49.00, -0.12, 0.10,
+ -1.10, 1.02, 0.03, 40.54, -52.69, -0.04, -0.10, -1.18,
+ -0.91, -0.02, -40.58, -49.51, -1.00, 1.00, -1.11, 0.91,
+ 0.04, 0.02, -43.76, 46.50, 0.36, 0.40, 1.04, 0.98,
+ 0.03, -0.01, 62.65, -5.00, -0.24, 0.00, -0.11, -1.40,
+ -0.03, 0.01, -38.57, 49.59, 0.08, 0.10, 1.11, 0.86,
+ 0.02, -33.22, -44.04, 0.08, -0.10, -0.98, 0.74, 0.02,
+ 37.15, -39.90, -0.12, -0.10, -0.89, -0.83, -0.02, 36.68,
+ -39.50, -0.04, -0.10, -0.88, -0.82, -0.02, -53.22, -3.91,
+ -0.20, 0.00, -0.09, 1.19, 0.03, 32.43, -42.19, -0.04,
+ -0.10, -0.94, -0.73, -0.02, -51.00, -2.30, -0.12, -0.10,
+ 0.00, 1.14, -29.53, -39.11, 0.04, 0.00, -0.87, 0.66,
+
+ /* 852-979 */
+ 0.02, 28.50, -38.92, -0.08, -0.10, -0.87, -0.64, -0.02,
+ 26.54, 36.95, -0.12, 0.10, 0.83, -0.59, -0.01, 26.54,
+ 34.59, 0.04, -0.10, 0.77, -0.59, -0.02, 28.35, -32.55,
+ -0.16, 0.20, -0.73, -0.63, -0.01, -28.00, 30.40, 0.00,
+ 0.00, 0.68, 0.63, 0.01, -27.61, 29.40, 0.20, 0.20,
+ 0.66, 0.62, 0.02, 40.33, 0.40, -0.04, 0.10, 0.00,
+ -0.90, -23.28, 31.61, -0.08, -0.10, 0.71, 0.52, 0.01,
+ 37.75, 0.80, 0.04, 0.10, 0.00, -0.84, 23.66, 25.80,
+ 0.00, 0.00, 0.58, -0.53, -0.01, 21.01, -27.91, 0.00,
+ 0.00, -0.62, -0.47, -0.01, -34.81, 2.89, 0.04, 0.00,
+ 0.00, 0.78, -23.49, -25.31, 0.00, 0.00, -0.57, 0.53,
+ 0.01, -23.47, 25.20, 0.16, 0.20, 0.56, 0.52, 0.02,
+ 19.58, 27.50, -0.12, 0.10, 0.62, -0.44, -0.01, -22.67,
+ -24.40, -0.08, 0.10, -0.55, 0.51, 0.01, -19.97, 25.00,
+ 0.12, 0.20, 0.56, 0.45, 0.01, 21.28, -22.80, -0.08,
+ -0.10, -0.51, -0.48, -0.01, -30.47, 0.91, 0.04, 0.00,
+
+ /* 980-1107 */
+ 0.00, 0.68, 18.58, 24.00, 0.04, -0.10, 0.54, -0.42,
+ -0.01, -18.02, 24.40, -0.04, -0.10, 0.55, 0.40, 0.01,
+ 17.74, 22.50, 0.08, -0.10, 0.50, -0.40, -0.01, -19.41,
+ 20.70, 0.08, 0.10, 0.46, 0.43, 0.01, -18.64, 20.11,
+ 0.00, 0.00, 0.45, 0.42, 0.01, -16.75, 21.60, 0.04,
+ 0.10, 0.48, 0.37, 0.01, -18.42, -20.00, 0.00, 0.00,
+ -0.45, 0.41, 0.01, -26.77, 1.41, 0.08, 0.00, 0.00,
+ 0.60, -26.17, -0.19, 0.00, 0.00, 0.00, 0.59, -15.52,
+ 20.51, 0.00, 0.00, 0.46, 0.35, 0.01, -25.42, -1.91,
+ -0.08, 0.00, -0.04, 0.57, 0.45, -17.42, 18.10, 0.00,
+ 0.00, 0.40, 0.39, 0.01, 16.39, -17.60, -0.08, -0.10,
+ -0.39, -0.37, -0.01, -14.37, 18.91, 0.00, 0.00, 0.42,
+ 0.32, 0.01, 23.39, -2.40, -0.12, 0.00, 0.00, -0.52,
+ 14.32, -18.50, -0.04, -0.10, -0.41, -0.32, -0.01, 15.69,
+ 17.08, 0.00, 0.00, 0.38, -0.35, -0.01, -22.99, 0.50,
+ 0.04, 0.00, 0.00, 0.51, 0.00, 0.00, 14.47, -17.60,
+
+ /* 1108-1235 */
+ -0.01, 0.00, -0.39, -0.32, -13.33, 18.40, -0.04, -0.10,
+ 0.41, 0.30, 22.47, -0.60, -0.04, 0.00, 0.00, -0.50,
+ -12.78, -17.41, 0.04, 0.00, -0.39, 0.29, 0.01, -14.10,
+ -15.31, 0.04, 0.00, -0.34, 0.32, 0.01, 11.98, 16.21,
+ -0.04, 0.00, 0.36, -0.27, -0.01, 19.65, -1.90, -0.08,
+ 0.00, 0.00, -0.44, 19.61, -1.50, -0.08, 0.00, 0.00,
+ -0.44, 13.41, -14.30, -0.04, -0.10, -0.32, -0.30, -0.01,
+ -13.29, 14.40, 0.00, 0.00, 0.32, 0.30, 0.01, 11.14,
+ -14.40, -0.04, 0.00, -0.32, -0.25, -0.01, 12.24, -13.38,
+ 0.04, 0.00, -0.30, -0.27, -0.01, 10.07, -13.81, 0.04,
+ 0.00, -0.31, -0.23, -0.01, 10.46, 13.10, 0.08, -0.10,
+ 0.29, -0.23, -0.01, 16.55, -1.71, -0.08, 0.00, 0.00,
+ -0.37, 9.75, -12.80, 0.00, 0.00, -0.29, -0.22, -0.01,
+ 9.11, 12.80, 0.00, 0.00, 0.29, -0.20, 0.00, 0.00,
+ -6.44, -13.80, 0.00, 0.00, -0.31, 0.14, -9.19, -12.00,
+ 0.00, 0.00, -0.27, 0.21, -10.30, 10.90, 0.08, 0.10,
+
+ /* 1236-1363 */
+ 0.24, 0.23, 0.01, 14.92, -0.80, -0.04, 0.00, 0.00,
+ -0.33, 10.02, -10.80, 0.00, 0.00, -0.24, -0.22, -0.01,
+ -9.75, 10.40, 0.04, 0.00, 0.23, 0.22, 0.01, 9.67,
+ -10.40, -0.04, 0.00, -0.23, -0.22, -0.01, -8.28, -11.20,
+ 0.04, 0.00, -0.25, 0.19, 13.32, -1.41, -0.08, 0.00,
+ 0.00, -0.30, 8.27, 10.50, 0.04, 0.00, 0.23, -0.19,
+ 0.00, 0.00, 13.13, 0.00, 0.00, 0.00, 0.00, -0.29,
+ -12.93, 0.70, 0.04, 0.00, 0.00, 0.29, 7.91, -10.20,
+ 0.00, 0.00, -0.23, -0.18, -7.84, -10.00, -0.04, 0.00,
+ -0.22, 0.18, 7.44, 9.60, 0.00, 0.00, 0.21, -0.17,
+ -7.64, 9.40, 0.08, 0.10, 0.21, 0.17, 0.01, -11.38,
+ 0.60, 0.04, 0.00, 0.00, 0.25, -7.48, 8.30, 0.00,
+ 0.00, 0.19, 0.17, -10.98, -0.20, 0.00, 0.00, 0.00,
+ 0.25, 10.98, 0.20, 0.00, 0.00, 0.00, -0.25, 7.40,
+ -7.90, -0.04, 0.00, -0.18, -0.17, -6.09, 8.40, -0.04,
+ 0.00, 0.19, 0.14, -6.94, -7.49, 0.00, 0.00, -0.17,
+
+ /* 1364-1491 */
+ 0.16, 6.92, 7.50, 0.04, 0.00, 0.17, -0.15, 6.20,
+ 8.09, 0.00, 0.00, 0.18, -0.14, -6.12, 7.80, 0.04,
+ 0.00, 0.17, 0.14, 5.85, -7.50, 0.00, 0.00, -0.17,
+ -0.13, -6.48, 6.90, 0.08, 0.10, 0.15, 0.14, 0.01,
+ 6.32, 6.90, 0.00, 0.00, 0.15, -0.14, 5.61, -7.20,
+ 0.00, 0.00, -0.16, -0.13, 9.07, 0.00, 0.00, 0.00,
+ 0.00, -0.20, 5.25, 6.90, 0.00, 0.00, 0.15, -0.12,
+ -8.47, -0.40, 0.00, 0.00, 0.00, 0.19, 6.32, -5.39,
+ -1.11, 1.10, -0.12, -0.14, 0.02, 0.02, 5.73, -6.10,
+ -0.04, 0.00, -0.14, -0.13, 4.70, 6.60, -0.04, 0.00,
+ 0.15, -0.11, -4.90, -6.40, 0.00, 0.00, -0.14, 0.11,
+ -5.33, 5.60, 0.04, 0.10, 0.13, 0.12, 0.01, -4.81,
+ 6.00, 0.04, 0.00, 0.13, 0.11, 5.13, 5.50, 0.04,
+ 0.00, 0.12, -0.11, 4.50, 5.90, 0.00, 0.00, 0.13,
+ -0.10, -4.22, 6.10, 0.00, 0.00, 0.14, -4.53, 5.70,
+ 0.00, 0.00, 0.13, 0.10, 4.18, 5.70, 0.00, 0.00,
+
+ /* 1492-1619 */
+ 0.13, -4.75, -5.19, 0.00, 0.00, -0.12, 0.11, -4.06,
+ 5.60, 0.00, 0.00, 0.13, -3.98, 5.60, -0.04, 0.00,
+ 0.13, 4.02, -5.40, 0.00, 0.00, -0.12, 4.49, -4.90,
+ -0.04, 0.00, -0.11, -0.10, -3.62, -5.40, -0.16, 0.20,
+ -0.12, 0.00, 0.01, 4.38, 4.80, 0.00, 0.00, 0.11,
+ -6.40, -0.10, 0.00, 0.00, 0.00, 0.14, -3.98, 5.00,
+ 0.04, 0.00, 0.11, -3.82, -5.00, 0.00, 0.00, -0.11,
+ -3.71, 5.07, 0.00, 0.00, 0.11, 4.14, 4.40, 0.00,
+ 0.00, 0.10, -6.01, -0.50, -0.04, 0.00, 0.00, 0.13,
+ -4.04, 4.39, 0.00, 0.00, 0.10, 3.45, -4.72, 0.00,
+ 0.00, -0.11, 3.31, 4.71, 0.00, 0.00, 0.11, 3.26,
+ -4.50, 0.00, 0.00, -0.10, -3.26, -4.50, 0.00, 0.00,
+ -0.10, -3.34, -4.40, 0.00, 0.00, -0.10, -3.74, -4.00,
+ 3.70, 4.00, 3.34, -4.30, 3.30, -4.30, -3.66, 3.90,
+ 0.04, 3.66, 3.90, 0.04, -3.62, -3.90, -3.61, 3.90,
+ -0.20, 5.30, 0.00, 0.00, 0.12, 3.06, 4.30, 3.30,
+
+ /* 1620-1747 */
+ 4.00, 0.40, 0.20, 3.10, 4.10, -3.06, 3.90, -3.30,
+ -3.60, -3.30, 3.36, 0.01, 3.14, 3.40, -4.57, -0.20,
+ 0.00, 0.00, 0.00, 0.10, -2.70, -3.60, 2.94, -3.20,
+ -2.90, 3.20, 2.47, -3.40, 2.55, -3.30, 2.80, -3.08,
+ 2.51, 3.30, -4.10, 0.30, -0.12, -0.10, 4.10, 0.20,
+ -2.74, 3.00, 2.46, 3.23, -3.66, 1.20, -0.20, 0.20,
+ 3.74, -0.40, -2.51, -2.80, -3.74, 2.27, -2.90, 0.00,
+ 0.00, -2.50, 2.70, -2.51, 2.60, -3.50, 0.20, 3.38,
+ -2.22, -2.50, 3.26, -0.40, 1.95, -2.60, 3.22, -0.40,
+ -0.04, -1.79, -2.60, 1.91, 2.50, 0.74, 3.05, -0.04,
+ 0.08, 2.11, -2.30, -2.11, 2.20, -1.87, -2.40, 2.03,
+ -2.20, -2.03, 2.20, 2.98, 0.00, 0.00, 2.98, -1.71,
+ 2.40, 2.94, -0.10, -0.12, 0.10, 1.67, 2.40, -1.79,
+ 2.30, -1.79, 2.20, -1.67, 2.20, 1.79, -2.00, 1.87,
+ -1.90, 1.63, -2.10, -1.59, 2.10, 1.55, -2.10, -1.55,
+ 2.10, -2.59, -0.20, -1.75, -1.90, -1.75, 1.90, -1.83,
+
+ /* 1748-1875 */
+ -1.80, 1.51, 2.00, -1.51, -2.00, 1.71, 1.80, 1.31,
+ 2.10, -1.43, 2.00, 1.43, 2.00, -2.43, -1.51, 1.90,
+ -1.47, 1.90, 2.39, 0.20, -2.39, 1.39, 1.90, 1.39,
+ -1.80, 1.47, -1.60, 1.47, -1.60, 1.43, -1.50, -1.31,
+ 1.60, 1.27, -1.60, -1.27, 1.60, 1.27, -1.60, 2.03,
+ 1.35, 1.50, -1.39, -1.40, 1.95, -0.20, -1.27, 1.49,
+ 1.19, 1.50, 1.27, 1.40, 1.15, 1.50, 1.87, -0.10,
+ -1.12, -1.50, 1.87, -1.11, -1.50, -1.11, -1.50, 0.00,
+ 0.00, 1.19, 1.40, 1.27, -1.30, -1.27, -1.30, -1.15,
+ 1.40, -1.23, 1.30, -1.23, -1.30, 1.22, -1.29, 1.07,
+ -1.40, 1.75, -0.20, -1.03, -1.40, -1.07, 1.20, -1.03,
+ 1.15, 1.07, 1.10, 1.51, -1.03, 1.10, 1.03, -1.10,
+ 0.00, 0.00, -1.03, -1.10, 0.91, -1.20, -0.88, -1.20,
+ -0.88, 1.20, -0.95, 1.10, -0.95, -1.10, 1.43, -1.39,
+ 0.95, -1.00, -0.95, 1.00, -0.80, 1.10, 0.91, -1.00,
+ -1.35, 0.88, 1.00, -0.83, 1.00, -0.91, 0.90, 0.91,
+
+ /* 1876-2003 */
+ 0.90, 0.88, -0.90, -0.76, -1.00, -0.76, 1.00, 0.76,
+ 1.00, -0.72, 1.00, 0.84, -0.90, 0.84, 0.90, 1.23,
+ 0.00, 0.00, -0.52, -1.10, -0.68, 1.00, 1.19, -0.20,
+ 1.19, 0.76, 0.90, 1.15, -0.10, 1.15, -0.10, 0.72,
+ -0.90, -1.15, -1.15, 0.68, 0.90, -0.68, 0.90, -1.11,
+ 0.00, 0.00, 0.20, 0.79, 0.80, -1.11, -0.10, 0.00,
+ 0.00, -0.48, -1.00, -0.76, -0.80, -0.72, -0.80, -1.07,
+ -0.10, 0.64, 0.80, -0.64, -0.80, 0.64, 0.80, 0.40,
+ 0.60, 0.52, -0.50, -0.60, -0.80, -0.71, 0.70, -0.99,
+ 0.99, 0.56, 0.80, -0.56, 0.80, 0.68, -0.70, 0.68,
+ 0.70, -0.95, -0.64, 0.70, 0.64, 0.70, -0.60, 0.70,
+ -0.60, -0.70, -0.91, -0.10, -0.51, 0.76, -0.91, -0.56,
+ 0.70, 0.88, 0.88, -0.63, -0.60, 0.55, -0.60, -0.80,
+ 0.80, -0.80, -0.52, 0.60, 0.52, 0.60, 0.52, -0.60,
+ -0.48, 0.60, 0.48, 0.60, 0.48, 0.60, -0.76, 0.44,
+ -0.60, 0.52, -0.50, -0.52, 0.50, 0.40, 0.60, -0.40,
+
+ /* 2004-2131 */
+ -0.60, 0.40, -0.60, 0.72, -0.72, -0.51, -0.50, -0.48,
+ 0.50, 0.48, -0.50, -0.48, 0.50, -0.48, 0.50, 0.48,
+ -0.50, -0.48, -0.50, -0.68, -0.68, 0.44, 0.50, -0.64,
+ -0.10, -0.64, -0.10, -0.40, 0.50, 0.40, 0.50, 0.40,
+ 0.50, 0.00, 0.00, -0.40, -0.50, -0.36, -0.50, 0.36,
+ -0.50, 0.60, -0.60, 0.40, -0.40, 0.40, 0.40, -0.40,
+ 0.40, -0.40, 0.40, -0.56, -0.56, 0.36, -0.40, -0.36,
+ 0.40, 0.36, -0.40, -0.36, -0.40, 0.36, 0.40, 0.36,
+ 0.40, -0.52, 0.52, 0.52, 0.32, 0.40, -0.32, 0.40,
+ -0.32, 0.40, -0.32, 0.40, 0.32, -0.40, -0.32, -0.40,
+ 0.32, -0.40, 0.28, -0.40, -0.28, 0.40, 0.28, -0.40,
+ 0.28, 0.40, 0.48, -0.48, 0.48, 0.36, -0.30, -0.36,
+ -0.30, 0.00, 0.00, 0.20, 0.40, -0.44, 0.44, -0.44,
+ -0.44, -0.44, -0.44, 0.32, -0.30, 0.32, 0.30, 0.24,
+ 0.30, -0.12, -0.10, -0.28, 0.30, 0.28, 0.30, 0.28,
+ 0.30, 0.28, -0.30, 0.28, -0.30, 0.28, -0.30, 0.28,
+
+ /* 2132-2259 */
+ 0.30, -0.28, 0.30, 0.40, 0.40, -0.24, 0.30, 0.24,
+ -0.30, 0.24, -0.30, -0.24, -0.30, 0.24, 0.30, 0.24,
+ -0.30, -0.24, 0.30, 0.24, -0.30, -0.24, -0.30, 0.24,
+ -0.30, 0.24, 0.30, -0.24, 0.30, -0.24, 0.30, 0.20,
+ -0.30, 0.20, -0.30, 0.20, -0.30, 0.20, 0.30, 0.20,
+ -0.30, 0.20, -0.30, 0.20, 0.30, 0.20, 0.30, -0.20,
+ -0.30, 0.20, -0.30, 0.20, -0.30, -0.36, -0.36, -0.36,
+ -0.04, 0.30, 0.12, -0.10, -0.32, -0.24, 0.20, 0.24,
+ 0.20, 0.20, -0.20, -0.20, -0.20, -0.20, -0.20, 0.20,
+ 0.20, 0.20, -0.20, 0.20, 0.20, 0.20, 0.20, -0.20,
+ -0.20, 0.00, 0.00, -0.20, -0.20, -0.20, 0.20, -0.20,
+ 0.20, 0.20, -0.20, -0.20, -0.20, 0.20, 0.20, 0.20,
+ 0.20, 0.20, -0.20, 0.20, -0.20, 0.28, 0.28, 0.28,
+ 0.28, 0.28, 0.28, -0.28, 0.28, 0.12, 0.00, 0.24,
+ 0.16, -0.20, 0.16, -0.20, 0.16, -0.20, 0.16, 0.20,
+ -0.16, 0.20, 0.16, 0.20, -0.16, 0.20, -0.16, 0.20,
+
+ /* 2260-2387 */
+ -0.16, 0.20, 0.16, -0.20, 0.16, 0.20, 0.16, -0.20,
+ -0.16, 0.20, -0.16, -0.20, -0.16, 0.20, 0.16, 0.20,
+ 0.16, -0.20, 0.16, -0.20, 0.16, 0.20, 0.16, 0.20,
+ 0.16, 0.20, -0.16, -0.20, 0.16, 0.20, -0.16, 0.20,
+ 0.16, 0.20, -0.16, -0.20, 0.16, -0.20, 0.16, -0.20,
+ -0.16, -0.20, 0.24, -0.24, -0.24, 0.24, 0.24, 0.12,
+ 0.20, 0.12, 0.20, -0.12, -0.20, 0.12, -0.20, 0.12,
+ -0.20, -0.12, 0.20, -0.12, 0.20, -0.12, -0.20, 0.12,
+ 0.20, 0.12, 0.20, 0.12, -0.20, -0.12, 0.20, 0.12,
+ -0.20, -0.12, 0.20, 0.12, 0.20, 0.00, 0.00, -0.12,
+ 0.20, -0.12, 0.20, 0.12, -0.20, -0.12, 0.20, 0.12,
+ 0.20, 0.00, -0.21, -0.20, 0.00, 0.00, 0.20, -0.20,
+ -0.20, -0.20, 0.20, -0.16, -0.10, 0.00, 0.17, 0.16,
+ 0.16, 0.16, 0.16, -0.16, 0.16, 0.16, -0.16, 0.16,
+ -0.16, 0.16, 0.12, 0.10, 0.12, -0.10, -0.12, 0.10,
+ -0.12, 0.10, 0.12, -0.10, -0.12, 0.12, -0.12, 0.12,
+
+ /* 2388-2515 */
+ -0.12, 0.12, -0.12, -0.12, -0.12, -0.12, -0.12, -0.12,
+ -0.12, 0.12, 0.12, 0.12, 0.12, -0.12, -0.12, 0.12,
+ 0.12, 0.12, -0.12, 0.12, -0.12, -0.12, -0.12, 0.12,
+ -0.12, -0.12, 0.12, 0.00, 0.11, 0.11,-122.67, 164.70,
+ 203.78, 273.50, 3.58, 2.74, 6.18, -4.56, 0.00, -0.04,
+ 0.00, -0.07, 57.44, -77.10, 95.82, 128.60, -1.77, -1.28,
+ 2.85, -2.14, 82.14, 89.50, 0.00, 0.00, 2.00, -1.84,
+ -0.04, 47.73, -64.10, 23.79, 31.90, -1.45, -1.07, 0.69,
+ -0.53, -46.38, 50.50, 0.00, 0.00, 1.13, 1.04, 0.02,
+ -18.38, 0.00, 63.80, 0.00, 0.00, 0.41, 0.00, -1.43,
+ 59.07, 0.00, 0.00, 0.00, 0.00, -1.32, 57.28, 0.00,
+ 0.00, 0.00, 0.00, -1.28, -48.65, 0.00, -1.15, 0.00,
+ 0.00, 1.09, 0.00, 0.03, -18.30, 24.60, -17.30, -23.20,
+ 0.56, 0.41, -0.51, 0.39, -16.91, 26.90, 8.43, 13.30,
+ 0.60, 0.38, 0.31, -0.19, 1.23, -1.70, -19.13, -25.70,
+ -0.03, -0.03, -0.58, 0.43, -0.72, 0.90, -17.34, -23.30,
+
+ /* 2516-2643 */
+ 0.03, 0.02, -0.52, 0.39, -19.49, -21.30, 0.00, 0.00,
+ -0.48, 0.44, 0.01, 20.57, -20.10, 0.64, 0.70, -0.45,
+ -0.46, 0.00, -0.01, 4.89, 5.90, -16.55, 19.90, 0.14,
+ -0.11, 0.44, 0.37, 18.22, 19.80, 0.00, 0.00, 0.44,
+ -0.41, -0.01, 4.89, -5.30, -16.51, -18.00, -0.11, -0.11,
+ -0.41, 0.37, -17.86, 0.00, 17.10, 0.00, 0.00, 0.40,
+ 0.00, -0.38, 0.32, 0.00, 24.42, 0.00, 0.00, -0.01,
+ 0.00, -0.55, -23.79, 0.00, 0.00, 0.00, 0.00, 0.53,
+ 14.72, -16.00, -0.32, 0.00, -0.36, -0.33, -0.01, 0.01,
+ 3.34, -4.50, 11.86, 15.90, -0.11, -0.07, 0.35, -0.27,
+ -3.26, 4.40, 11.62, 15.60, 0.09, 0.07, 0.35, -0.26,
+ -19.53, 0.00, 5.09, 0.00, 0.00, 0.44, 0.00, -0.11,
+ -13.48, 14.70, 0.00, 0.00, 0.33, 0.30, 0.01, 10.86,
+ -14.60, 3.18, 4.30, -0.33, -0.24, 0.09, -0.07, -11.30,
+ -15.10, 0.00, 0.00, -0.34, 0.25, 0.01, 2.03, -2.70,
+ 10.82, 14.50, -0.07, -0.05, 0.32, -0.24, 17.46, 0.00,
+
+ /* 2644-2771 */
+ 0.00, 0.00, 0.00, -0.39, 16.43, 0.00, 0.52, 0.00,
+ 0.00, -0.37, 0.00, -0.01, 9.35, 0.00, 13.29, 0.00,
+ 0.00, -0.21, 0.00, -0.30, -10.42, 11.40, 0.00, 0.00,
+ 0.25, 0.23, 0.01, 0.44, 0.50, -10.38, 11.30, 0.02,
+ -0.01, 0.25, 0.23, -14.64, 0.00, 0.00, 0.00, 0.00,
+ 0.33, 0.56, 0.80, -8.67, 11.70, 0.02, -0.01, 0.26,
+ 0.19, 13.88, 0.00, -2.47, 0.00, 0.00, -0.31, 0.00,
+ 0.06, -1.99, 2.70, 7.72, 10.30, 0.06, 0.04, 0.23,
+ -0.17, -0.20, 0.00, 13.05, 0.00, 0.00, 0.00, 0.00,
+ -0.29, 6.92, -9.30, 3.34, 4.50, -0.21, -0.15, 0.10,
+ -0.07, -6.60, 0.00, 10.70, 0.00, 0.00, 0.15, 0.00,
+ -0.24, -8.04, -8.70, 0.00, 0.00, -0.19, 0.18, -10.58,
+ 0.00, -3.10, 0.00, 0.00, 0.24, 0.00, 0.07, -7.32,
+ 8.00, -0.12, -0.10, 0.18, 0.16, 1.63, 1.70, 6.96,
+ -7.60, 0.03, -0.04, -0.17, -0.16, -3.62, 0.00, 9.86,
+ 0.00, 0.00, 0.08, 0.00, -0.22, 0.20, -0.20, -6.88,
+
+ /* 2772-2899 */
+ -7.50, 0.00, 0.00, -0.17, 0.15, -8.99, 0.00, 4.02,
+ 0.00, 0.00, 0.20, 0.00, -0.09, -1.07, 1.40, -5.69,
+ -7.70, 0.03, 0.02, -0.17, 0.13, 6.48, -7.20, -0.48,
+ -0.50, -0.16, -0.14, -0.01, 0.01, 5.57, -7.50, 1.07,
+ 1.40, -0.17, -0.12, 0.03, -0.02, 8.71, 0.00, 3.54,
+ 0.00, 0.00, -0.19, 0.00, -0.08, 0.40, 0.00, 9.27,
+ 0.00, 0.00, -0.01, 0.00, -0.21, -6.13, 6.70, -1.19,
+ -1.30, 0.15, 0.14, -0.03, 0.03, 5.21, -5.70, -2.51,
+ -2.60, -0.13, -0.12, -0.06, 0.06, 5.69, -6.20, -0.12,
+ -0.10, -0.14, -0.13, -0.01, 2.03, -2.70, 4.53, 6.10,
+ -0.06, -0.05, 0.14, -0.10, 5.01, 5.50, -2.51, 2.70,
+ 0.12, -0.11, 0.06, 0.06, -1.91, 2.60, -4.38, -5.90,
+ 0.06, 0.04, -0.13, 0.10, 4.65, -6.30, 0.00, 0.00,
+ -0.14, -0.10, -5.29, 5.70, 0.00, 0.00, 0.13, 0.12,
+ -2.23, -4.00, -4.65, 4.20, -0.09, 0.05, 0.10, 0.10,
+ -4.53, 6.10, 0.00, 0.00, 0.14, 0.10, 2.47, 2.70,
+
+ /* 2900-3027 */
+ -4.46, 4.90, 0.06, -0.06, 0.11, 0.10, -5.05, 5.50,
+ 0.84, 0.90, 0.12, 0.11, 0.02, -0.02, 4.97, -5.40,
+ -1.71, 0.00, -0.12, -0.11, 0.00, 0.04, -0.99, -1.30,
+ 4.22, -5.70, -0.03, 0.02, -0.13, -0.09, 0.99, 1.40,
+ 4.22, -5.60, 0.03, -0.02, -0.13, -0.09, -4.69, -5.20,
+ 0.00, 0.00, -0.12, 0.10, -3.42, 0.00, 6.09, 0.00,
+ 0.00, 0.08, 0.00, -0.14, -4.65, -5.10, 0.00, 0.00,
+ -0.11, 0.10, 0.00, 0.00, -4.53, -5.00, 0.00, 0.00,
+ -0.11, 0.10, -2.43, -2.70, -3.82, 4.20, -0.06, 0.05,
+ 0.10, 0.09, 0.00, 0.00, -4.53, 4.90, 0.00, 0.00,
+ 0.11, 0.10, -4.49, -4.90, 0.00, 0.00, -0.11, 0.10,
+ 2.67, -2.90, -3.62, -3.90, -0.06, -0.06, -0.09, 0.08,
+ 3.94, -5.30, 0.00, 0.00, -0.12, -3.38, 3.70, -2.78,
+ -3.10, 0.08, 0.08, -0.07, 0.06, 3.18, -3.50, -2.82,
+ -3.10, -0.08, -0.07, -0.07, 0.06, -5.77, 0.00, 1.87,
+ 0.00, 0.00, 0.13, 0.00, -0.04, 3.54, -4.80, -0.64,
+
+ /* 3028-3155 */
+ -0.90, -0.11, 0.00, -0.02, -3.50, -4.70, 0.68, -0.90,
+ -0.11, 0.00, -0.02, 5.49, 0.00, 0.00, 0.00, 0.00,
+ -0.12, 1.83, -2.50, 2.63, 3.50, -0.06, 0.00, 0.08,
+ 3.02, -4.10, 0.68, 0.90, -0.09, 0.00, 0.02, 0.00,
+ 0.00, 5.21, 0.00, 0.00, 0.00, 0.00, -0.12, -3.54,
+ 3.80, 2.70, 3.60, -1.35, 1.80, 0.08, 0.00, 0.04,
+ -2.90, 3.90, 0.68, 0.90, 0.09, 0.00, 0.02, 0.80,
+ -1.10, -2.78, -3.70, -0.02, 0.00, -0.08, 4.10, 0.00,
+ -2.39, 0.00, 0.00, -0.09, 0.00, 0.05, -1.59, 2.10,
+ 2.27, 3.00, 0.05, 0.00, 0.07, -2.63, 3.50, -0.48,
+ -0.60, -2.94, -3.20, -2.94, 3.20, 2.27, -3.00, -1.11,
+ -1.50, -0.07, 0.00, -0.03, -0.56, -0.80, -2.35, 3.10,
+ 0.00, -0.60, -3.42, 1.90, -0.12, -0.10, 2.63, -2.90,
+ 2.51, 2.80, -0.64, 0.70, -0.48, -0.60, 2.19, -2.90,
+ 0.24, -0.30, 2.15, 2.90, 2.15, -2.90, 0.52, 0.70,
+ 2.07, -2.80, -3.10, 0.00, 1.79, 0.00, 0.00, 0.07,
+
+ /* 3156-3283 */
+ 0.00, -0.04, 0.88, 0.00, -3.46, 2.11, 2.80, -0.36,
+ 0.50, 3.54, -0.20, -3.50, -1.39, 1.50, -1.91, -2.10,
+ -1.47, 2.00, 1.39, 1.90, 2.07, -2.30, 0.91, 1.00,
+ 1.99, -2.70, 3.30, 0.00, 0.60, -0.44, -0.70, -1.95,
+ 2.60, 2.15, -2.40, -0.60, -0.70, 3.30, 0.84, 0.00,
+ -3.10, -3.10, 0.00, -0.72, -0.32, 0.40, -1.87, -2.50,
+ 1.87, -2.50, 0.32, 0.40, -0.24, 0.30, -1.87, -2.50,
+ -0.24, -0.30, 1.87, -2.50, -2.70, 0.00, 1.55, 2.03,
+ 2.20, -2.98, -1.99, -2.20, 0.12, -0.10, -0.40, 0.50,
+ 1.59, 2.10, 0.00, 0.00, -1.79, 2.00, -1.03, 1.40,
+ -1.15, -1.60, 0.32, 0.50, 1.39, -1.90, 2.35, -1.27,
+ 1.70, 0.60, 0.80, -0.32, -0.40, 1.35, -1.80, 0.44,
+ 0.00, 2.23, -0.84, 0.90, -1.27, -1.40, -1.47, 1.60,
+ -0.28, -0.30, -0.28, 0.40, -1.27, -1.70, 0.28, -0.40,
+ -1.43, -1.50, 0.00, 0.00, -1.27, -1.70, 2.11, -0.32,
+ -0.40, -1.23, 1.60, 1.19, -1.30, -0.72, -0.80, 0.72,
+
+ /* 3284-3411 */
+ -0.80, -1.15, -1.30, -1.35, -1.50, -1.19, -1.60, -0.12,
+ 0.20, 1.79, 0.00, -0.88, -0.28, 0.40, 1.11, 1.50,
+ -1.83, 0.00, 0.56, -0.12, 0.10, -1.27, -1.40, 0.00,
+ 0.00, 1.15, 1.50, -0.12, 0.20, 1.11, 1.50, 0.36,
+ -0.50, -1.07, -1.40, -1.11, 1.50, 1.67, 0.00, 0.80,
+ -1.11, 0.00, 1.43, 1.23, -1.30, -0.24, -1.19, -1.30,
+ -0.24, 0.20, -0.44, -0.90, -0.95, 1.10, 1.07, -1.40,
+ 1.15, -1.30, 1.03, -1.10, -0.56, -0.60, -0.68, 0.90,
+ -0.76, -1.00, -0.24, -0.30, 0.95, -1.30, 0.56, 0.70,
+ 0.84, -1.10, -0.56, 0.00, -1.55, 0.91, -1.30, 0.28,
+ 0.30, 0.16, -0.20, 0.95, 1.30, 0.40, -0.50, -0.88,
+ -1.20, 0.95, -1.10, -0.48, -0.50, 0.00, 0.00, -1.07,
+ 1.20, 0.44, -0.50, 0.95, 1.10, 0.00, 0.00, 0.92,
+ -1.30, 0.95, 1.00, -0.52, 0.60, 1.59, 0.24, -0.40,
+ 0.91, 1.20, 0.84, -1.10, -0.44, -0.60, 0.84, 1.10,
+ -0.44, 0.60, -0.44, 0.60, -0.84, -1.10, -0.80, 0.00,
+
+ /* 3412-3539 */
+ 1.35, 0.76, 0.20, -0.91, -1.00, 0.20, -0.30, -0.91,
+ -1.20, -0.95, 1.00, -0.48, -0.50, 0.88, 1.00, 0.48,
+ -0.50, -0.95, -1.10, 0.20, -0.20, -0.99, 1.10, -0.84,
+ 1.10, -0.24, -0.30, 0.20, -0.30, 0.84, 1.10, -1.39,
+ 0.00, -0.28, -0.16, 0.20, 0.84, 1.10, 0.00, 0.00,
+ 1.39, 0.00, 0.00, -0.95, 1.00, 1.35, -0.99, 0.00,
+ 0.88, -0.52, 0.00, -1.19, 0.20, 0.20, 0.76, -1.00,
+ 0.00, 0.00, 0.76, 1.00, 0.00, 0.00, 0.76, 1.00,
+ -0.76, 1.00, 0.00, 0.00, 1.23, 0.76, 0.80, -0.32,
+ 0.40, -0.72, 0.80, -0.40, -0.40, 0.00, 0.00, -0.80,
+ -0.90, -0.68, 0.90, -0.16, -0.20, -0.16, -0.20, 0.68,
+ -0.90, -0.36, 0.50, -0.56, -0.80, 0.72, -0.90, 0.44,
+ -0.60, -0.48, -0.70, -0.16, 0.00, -1.11, 0.32, 0.00,
+ -1.07, 0.60, -0.80, -0.28, -0.40, -0.64, 0.00, 0.91,
+ 1.11, 0.64, -0.90, 0.76, -0.80, 0.00, 0.00, -0.76,
+ -0.80, 1.03, 0.00, -0.36, -0.64, -0.70, 0.36, -0.40,
+
+ /* 3540-3667 */
+ 1.07, 0.36, -0.50, -0.52, -0.70, 0.60, 0.00, 0.88,
+ 0.95, 0.00, 0.48, 0.16, -0.20, 0.60, 0.80, 0.16,
+ -0.20, -0.60, -0.80, 0.00, -1.00, 0.12, 0.20, 0.16,
+ -0.20, 0.68, 0.70, 0.59, -0.80, -0.99, -0.56, -0.60,
+ 0.36, -0.40, -0.68, -0.70, -0.68, -0.70, -0.36, -0.50,
+ -0.44, 0.60, 0.64, 0.70, -0.12, 0.10, -0.52, 0.60,
+ 0.36, 0.40, 0.00, 0.00, 0.95, -0.84, 0.00, 0.44,
+ 0.56, 0.60, 0.32, -0.30, 0.00, 0.00, 0.60, 0.70,
+ 0.00, 0.00, 0.60, 0.70, -0.12, -0.20, 0.52, -0.70,
+ 0.00, 0.00, 0.56, 0.70, -0.12, 0.10, -0.52, -0.70,
+ 0.00, 0.00, 0.88, -0.76, 0.00, -0.44, 0.00, 0.00,
+ -0.52, -0.70, 0.52, -0.70, 0.36, -0.40, -0.44, -0.50,
+ 0.00, 0.00, 0.60, 0.60, 0.84, 0.00, 0.12, -0.24,
+ 0.00, 0.80, -0.56, 0.60, -0.32, -0.30, 0.48, -0.50,
+ 0.28, -0.30, -0.48, -0.50, 0.12, 0.20, 0.48, -0.60,
+ 0.48, 0.60, -0.12, 0.20, 0.24, 0.00, 0.76, -0.52,
+
+ /* 3668-3795 */
+ -0.60, -0.52, 0.60, 0.48, -0.50, -0.24, -0.30, 0.12,
+ -0.10, 0.48, 0.60, 0.52, -0.20, 0.36, 0.40, -0.44,
+ 0.50, -0.24, -0.30, -0.48, -0.60, -0.44, -0.60, -0.12,
+ 0.10, 0.76, 0.76, 0.20, -0.20, 0.48, 0.50, 0.40,
+ -0.50, -0.24, -0.30, 0.44, -0.60, 0.44, -0.60, 0.36,
+ 0.00, -0.64, 0.72, 0.00, -0.12, 0.00, -0.10, -0.40,
+ -0.60, -0.20, -0.20, -0.44, 0.50, -0.44, 0.50, 0.20,
+ 0.20, -0.44, -0.50, 0.20, -0.20, -0.20, 0.20, -0.44,
+ -0.50, 0.64, 0.00, 0.32, -0.36, 0.50, -0.20, -0.30,
+ 0.12, -0.10, 0.48, 0.50, -0.12, 0.30, -0.36, -0.50,
+ 0.00, 0.00, 0.48, 0.50, -0.48, 0.50, 0.68, 0.00,
+ -0.12, 0.56, -0.40, 0.44, -0.50, -0.12, -0.10, 0.24,
+ 0.30, -0.40, 0.40, 0.64, 0.00, -0.24, 0.64, 0.00,
+ -0.20, 0.00, 0.00, 0.44, -0.50, 0.44, 0.50, -0.12,
+ 0.20, -0.36, -0.50, 0.12, 0.00, 0.64, -0.40, 0.50,
+ 0.00, 0.10, 0.00, 0.00, -0.40, 0.50, 0.00, 0.00,
+
+ /* 3796-3923 */
+ -0.40, -0.50, 0.56, 0.00, 0.28, 0.00, 0.10, 0.36,
+ 0.50, 0.00, -0.10, 0.36, -0.50, 0.36, 0.50, 0.00,
+ -0.10, 0.24, -0.20, -0.36, -0.40, 0.16, 0.20, 0.40,
+ -0.40, 0.00, 0.00, -0.36, -0.50, -0.36, -0.50, -0.32,
+ -0.50, -0.12, 0.10, 0.20, 0.20, -0.36, 0.40, -0.60,
+ 0.60, 0.28, 0.00, 0.52, 0.12, -0.10, 0.40, 0.40,
+ 0.00, -0.50, 0.20, -0.20, -0.32, 0.40, 0.16, 0.20,
+ -0.16, 0.20, 0.32, 0.40, 0.56, 0.00, -0.12, 0.32,
+ -0.40, -0.16, -0.20, 0.00, 0.00, 0.40, 0.40, -0.40,
+ -0.40, -0.40, 0.40, -0.36, 0.40, 0.12, 0.10, 0.00,
+ 0.10, 0.36, 0.40, 0.00, -0.10, 0.36, 0.40, -0.36,
+ 0.40, 0.00, 0.10, 0.32, 0.00, 0.44, 0.12, 0.20,
+ 0.28, -0.40, 0.00, 0.00, 0.36, 0.40, 0.32, -0.40,
+ -0.16, 0.12, 0.10, 0.32, -0.40, 0.20, 0.30, -0.24,
+ 0.30, 0.00, 0.10, 0.32, 0.40, 0.00, -0.10, -0.32,
+ -0.40, -0.32, 0.40, 0.00, 0.10, -0.52, -0.52, 0.52,
+
+ /* 3924-4051 */
+ 0.32, -0.40, 0.00, 0.00, 0.32, 0.40, 0.32, -0.40,
+ 0.00, 0.00, -0.32, -0.40, -0.32, 0.40, 0.32, 0.40,
+ 0.00, 0.00, 0.32, 0.40, 0.00, 0.00, -0.32, -0.40,
+ 0.00, 0.00, 0.32, 0.40, 0.16, 0.20, 0.32, -0.30,
+ -0.16, 0.00, -0.48, -0.20, 0.20, -0.28, -0.30, 0.28,
+ -0.40, 0.00, 0.00, 0.28, -0.40, 0.00, 0.00, 0.28,
+ -0.40, 0.00, 0.00, -0.28, -0.40, 0.28, 0.40, -0.28,
+ -0.40, -0.48, -0.20, 0.20, 0.24, 0.30, 0.44, 0.00,
+ 0.16, 0.24, 0.30, 0.16, -0.20, 0.24, 0.30, -0.12,
+ 0.20, 0.20, 0.30, -0.16, 0.20, 0.00, 0.00, 0.44,
+ -0.32, 0.30, 0.24, 0.00, -0.36, 0.36, 0.00, 0.24,
+ 0.12, -0.20, 0.20, 0.30, -0.12, 0.00, -0.28, 0.30,
+ -0.24, 0.30, 0.12, 0.10, -0.28, -0.30, -0.28, 0.30,
+ 0.00, 0.00, -0.28, -0.30, 0.00, 0.00, -0.28, -0.30,
+ 0.00, 0.00, 0.28, 0.30, 0.00, 0.00, -0.28, -0.30,
+ -0.28, 0.30, 0.00, 0.00, -0.28, -0.30, 0.00, 0.00,
+
+ /* 4052-4179 */
+ 0.28, 0.30, 0.00, 0.00, -0.28, 0.30, 0.28, -0.30,
+ -0.28, 0.30, 0.40, 0.40, -0.24, 0.30, 0.00, -0.10,
+ 0.16, 0.00, 0.36, -0.20, 0.30, -0.12, -0.10, -0.24,
+ -0.30, 0.00, 0.00, -0.24, 0.30, -0.24, 0.30, 0.00,
+ 0.00, -0.24, 0.30, -0.24, 0.30, 0.24, -0.30, 0.00,
+ 0.00, 0.24, -0.30, 0.00, 0.00, 0.24, 0.30, 0.24,
+ -0.30, 0.24, 0.30, -0.24, 0.30, -0.24, 0.30, -0.20,
+ 0.20, -0.16, -0.20, 0.00, 0.00, -0.32, 0.20, 0.00,
+ 0.10, 0.20, -0.30, 0.20, -0.20, 0.12, 0.20, -0.16,
+ 0.20, 0.16, 0.20, 0.20, 0.30, 0.20, 0.30, 0.00,
+ 0.00, -0.20, 0.30, 0.00, 0.00, 0.20, 0.30, -0.20,
+ -0.30, -0.20, -0.30, 0.20, -0.30, 0.00, 0.00, 0.20,
+ 0.30, 0.00, 0.00, 0.20, 0.30, 0.00, 0.00, 0.20,
+ 0.30, 0.00, 0.00, 0.20, 0.30, 0.00, 0.00, 0.20,
+ -0.30, 0.00, 0.00, -0.20, -0.30, 0.00, 0.00, -0.20,
+ 0.30, 0.00, 0.00, -0.20, 0.30, 0.00, 0.00, 0.36,
+
+ /* 4180-4307 */
+ 0.00, 0.00, 0.36, 0.12, 0.10, -0.24, 0.20, 0.12,
+ -0.20, -0.16, -0.20, -0.13, 0.10, 0.22, 0.21, 0.20,
+ 0.00, -0.28, 0.32, 0.00, -0.12, -0.20, -0.20, 0.12,
+ -0.10, 0.12, 0.10, -0.20, 0.20, 0.00, 0.00, -0.32,
+ 0.32, 0.00, 0.00, 0.32, 0.32, 0.00, 0.00, -0.24,
+ -0.20, 0.24, 0.20, 0.20, 0.00, -0.24, 0.00, 0.00,
+ -0.24, -0.20, 0.00, 0.00, 0.24, 0.20, -0.24, -0.20,
+ 0.00, 0.00, -0.24, 0.20, 0.16, -0.20, 0.12, 0.10,
+ 0.20, 0.20, 0.00, -0.10, -0.12, 0.10, -0.16, -0.20,
+ -0.12, -0.10, -0.16, 0.20, 0.20, 0.20, 0.00, 0.00,
+ -0.20, 0.20, -0.20, 0.20, -0.20, 0.20, -0.20, 0.20,
+ 0.20, -0.20, -0.20, -0.20, 0.00, 0.00, -0.20, 0.20,
+ 0.20, 0.00, -0.20, 0.00, 0.00, -0.20, 0.20, -0.20,
+ 0.20, -0.20, -0.20, -0.20, -0.20, 0.00, 0.00, 0.20,
+ 0.20, 0.20, 0.20, 0.12, -0.20, -0.12, -0.10, 0.28,
+ -0.28, 0.16, -0.20, 0.00, -0.10, 0.00, 0.10, -0.16,
+
+ /* 4308-4435 */
+ 0.20, 0.00, -0.10, -0.16, -0.20, 0.00, -0.10, 0.16,
+ -0.20, 0.16, -0.20, 0.00, 0.00, 0.16, 0.20, -0.16,
+ 0.20, 0.00, 0.00, 0.16, 0.20, 0.16, -0.20, 0.16,
+ -0.20, -0.16, 0.20, 0.16, -0.20, 0.00, 0.00, 0.16,
+ 0.20, 0.00, 0.00, 0.16, 0.20, 0.00, 0.00, -0.16,
+ -0.20, 0.16, -0.20, -0.16, -0.20, 0.00, 0.00, -0.16,
+ -0.20, 0.00, 0.00, -0.16, 0.20, 0.00, 0.00, 0.16,
+ -0.20, 0.16, 0.20, 0.16, 0.20, 0.00, 0.00, -0.16,
+ -0.20, 0.00, 0.00, -0.16, -0.20, 0.00, 0.00, 0.16,
+ 0.20, 0.16, 0.20, 0.00, 0.00, 0.16, 0.20, 0.16,
+ -0.20, 0.16, 0.20, 0.00, 0.00, -0.16, 0.20, 0.00,
+ 0.10, 0.12, -0.20, 0.12, -0.20, 0.00, -0.10, 0.00,
+ -0.10, 0.12, 0.20, 0.00, -0.10, -0.12, 0.20, -0.15,
+ 0.20, -0.24, 0.24, 0.00, 0.00, 0.24, 0.24, 0.12,
+ -0.20, -0.12, -0.20, 0.00, 0.00, 0.12, 0.20, 0.12,
+ -0.20, 0.12, 0.20, 0.12, 0.20, 0.12, 0.20, 0.12,
+
+ /* 4436-4563 */
+ -0.20, -0.12, 0.20, 0.00, 0.00, 0.12, 0.20, 0.12,
+ 0.00, -0.20, 0.00, 0.00, -0.12, -0.20, 0.12, -0.20,
+ 0.00, 0.00, 0.12, 0.20, -0.12, 0.20, -0.12, 0.20,
+ 0.12, -0.20, 0.00, 0.00, 0.12, 0.20, 0.20, 0.00,
+ 0.12, 0.00, 0.00, -0.12, 0.20, 0.00, 0.00, -0.12,
+ -0.20, 0.00, 0.00, -0.12, -0.20, -0.12, -0.20, 0.00,
+ 0.00, 0.12, -0.20, 0.12, -0.20, 0.12, 0.20, -0.12,
+ -0.20, 0.00, 0.00, 0.12, -0.20, 0.12, -0.20, 0.12,
+ 0.20, 0.12, 0.00, 0.20, -0.12, -0.20, 0.00, 0.00,
+ 0.12, 0.20, -0.16, 0.00, 0.16, -0.20, 0.20, 0.00,
+ 0.00, -0.20, 0.00, 0.00, -0.20, 0.20, 0.00, 0.00,
+ 0.20, 0.20, -0.20, 0.00, 0.00, -0.20, 0.12, 0.00,
+ -0.16, 0.20, 0.00, 0.00, 0.20, 0.12, -0.10, 0.00,
+ 0.10, 0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 0.00,
+ 0.00, -0.16, 0.00, 0.00, -0.16, -0.16, -0.16, 0.00,
+ 0.00, -0.16, 0.00, 0.00, 0.16, 0.00, 0.00, 0.16,
+
+ /* 4564-4691 */
+ 0.00, 0.00, 0.16, 0.16, 0.00, 0.00, -0.16, 0.00,
+ 0.00, -0.16, -0.16, 0.00, 0.00, 0.16, 0.00, 0.00,
+ -0.16, -0.16, 0.00, 0.00, -0.16, -0.16, 0.12, 0.10,
+ 0.12, -0.10, 0.12, 0.10, 0.00, 0.00, 0.12, 0.10,
+ -0.12, 0.10, 0.00, 0.00, 0.12, 0.10, 0.12, -0.10,
+ 0.00, 0.00, -0.12, -0.10, 0.00, 0.00, 0.12, 0.10,
+ 0.12, 0.00, 0.00, 0.12, 0.00, 0.00, -0.12, 0.00,
+ 0.00, 0.12, 0.12, 0.12, 0.12, 0.12, 0.00, 0.00,
+ 0.12, 0.00, 0.00, 0.12, 0.12, 0.00, 0.00, 0.12,
+ 0.00, 0.00, 0.12, -0.12, -0.12, 0.12, 0.12, -0.12,
+ -0.12, 0.00, 0.00, 0.12, -0.12, 0.12, 0.12, -0.12,
+ -0.12, 0.00, 0.00, -0.12, -0.12, 0.00, 0.00, -0.12,
+ 0.12, 0.00, 0.00, 0.12, 0.00, 0.00, 0.12, 0.00,
+ 0.00, 0.12, -0.12, 0.00, 0.00, -0.12, 0.12, -0.12,
+ -0.12, 0.12, 0.00, 0.00, 0.12, 0.12, 0.12, -0.12,
+ 0.00, 0.00, -0.12, -0.12, -0.12, 0.00, 0.00, -0.12,
+
+ /* 4692-NA */
+ -0.12, 0.00, 0.00, 0.12, 0.12, 0.00, 0.00, -0.12,
+ -0.12, -0.12, -0.12, 0.12, 0.00, 0.00, 0.12, -0.12,
+ 0.00, 0.00, -0.12, -0.12, 0.00, 0.00, 0.12, -0.12,
+ -0.12, -0.12, -0.12, 0.12, 0.12, -0.12, -0.12, 0.00,
+ 0.00, -0.12, 0.00, 0.00, -0.12, 0.12, 0.00, 0.00,
+ 0.12, 0.00, 0.00, -0.12, -0.12, 0.00, 0.00, -0.12,
+ -0.12, 0.12, 0.00, 0.00, 0.12, 0.12, 0.00, 0.00,
+ 0.12, 0.00, 0.00, 0.12, 0.12, 0.08, 0.00, 0.04
+ };
+
+/* Number of amplitude coefficients */
+ static const int NA = (int) (sizeof a / sizeof (double));
+
+/* Amplitude usage: X or Y, sin or cos, power of T. */
+ static const int jaxy[] = {0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1};
+ static const int jasc[] = {0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0};
+ static const int japt[] = {0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4};
+
+/* Miscellaneous */
+ double t, w, pt[MAXPT+1], fa[14], xypr[2], xypl[2], xyls[2], arg,
+ sc[2];
+ int jpt, i, j, jxy, ialast, ifreq, m, ia, jsc;
+
+/* ------------------------------------------------------------------ */
+
+/* Interval between fundamental date J2000.0 and given date (JC). */
+ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
+
+/* Powers of T. */
+ w = 1.0;
+ for (jpt = 0; jpt <= MAXPT; jpt++) {
+ pt[jpt] = w;
+ w *= t;
+ }
+
+/* Initialize totals in X and Y: polynomial, luni-solar, planetary. */
+ for (jxy = 0; jxy < 2; jxy++) {
+ xypr[jxy] = 0.0;
+ xyls[jxy] = 0.0;
+ xypl[jxy] = 0.0;
+ }
+
+/* --------------------------------- */
+/* Fundamental arguments (IERS 2003) */
+/* --------------------------------- */
+
+/* Mean anomaly of the Moon. */
+ fa[0] = eraFal03(t);
+
+/* Mean anomaly of the Sun. */
+ fa[1] = eraFalp03(t);
+
+/* Mean argument of the latitude of the Moon. */
+ fa[2] = eraFaf03(t);
+
+/* Mean elongation of the Moon from the Sun. */
+ fa[3] = eraFad03(t);
+
+/* Mean longitude of the ascending node of the Moon. */
+ fa[4] = eraFaom03(t);
+
+/* Planetary longitudes, Mercury through Neptune. */
+ fa[5] = eraFame03(t);
+ fa[6] = eraFave03(t);
+ fa[7] = eraFae03(t);
+ fa[8] = eraFama03(t);
+ fa[9] = eraFaju03(t);
+ fa[10] = eraFasa03(t);
+ fa[11] = eraFaur03(t);
+ fa[12] = eraFane03(t);
+
+/* General accumulated precession in longitude. */
+ fa[13] = eraFapa03(t);
+
+/* -------------------------------------- */
+/* Polynomial part of precession-nutation */
+/* -------------------------------------- */
+
+ for (jxy = 0; jxy < 2; jxy++) {
+ for (j = MAXPT; j >= 0; j--) {
+ xypr[jxy] += xyp[jxy][j] * pt[j];
+ }
+ }
+
+/* ---------------------------------- */
+/* Nutation periodic terms, planetary */
+/* ---------------------------------- */
+
+/* Work backwards through the coefficients per frequency list. */
+ ialast = NA;
+ for (ifreq = NFPL-1; ifreq >= 0; ifreq--) {
+
+ /* Obtain the argument functions. */
+ arg = 0.0;
+ for (i = 0; i < 14; i++) {
+ m = mfapl[ifreq][i];
+ if (m != 0) arg += (double)m * fa[i];
+ }
+ sc[0] = sin(arg);
+ sc[1] = cos(arg);
+
+ /* Work backwards through the amplitudes at this frequency. */
+ ia = nc[ifreq+NFLS];
+ for (i = ialast; i >= ia; i--) {
+
+ /* Coefficient number (0 = 1st). */
+ j = i-ia;
+
+ /* X or Y. */
+ jxy = jaxy[j];
+
+ /* Sin or cos. */
+ jsc = jasc[j];
+
+ /* Power of T. */
+ jpt = japt[j];
+
+ /* Accumulate the component. */
+ xypl[jxy] += a[i-1] * sc[jsc] * pt[jpt];
+ }
+ ialast = ia-1;
+ }
+
+/* ----------------------------------- */
+/* Nutation periodic terms, luni-solar */
+/* ----------------------------------- */
+
+/* Continue working backwards through the number of coefficients list. */
+ for (ifreq = NFLS-1; ifreq >= 0; ifreq--) {
+
+ /* Obtain the argument functions. */
+ arg = 0.0;
+ for (i = 0; i < 5; i++) {
+ m = mfals[ifreq][i];
+ if (m != 0) arg += (double)m * fa[i];
+ }
+ sc[0] = sin(arg);
+ sc[1] = cos(arg);
+
+ /* Work backwards through the amplitudes at this frequency. */
+ ia = nc[ifreq];
+ for (i = ialast; i >= ia; i--) {
+
+ /* Coefficient number (0 = 1st). */
+ j = i-ia;
+
+ /* X or Y. */
+ jxy = jaxy[j];
+
+ /* Sin or cos. */
+ jsc = jasc[j];
+
+ /* Power of T. */
+ jpt = japt[j];
+
+ /* Accumulate the component. */
+ xyls[jxy] += a[i-1] * sc[jsc] * pt[jpt];
+ }
+ ialast = ia-1;
+ }
+
+/* ------------------------------------ */
+/* Results: CIP unit vector components */
+/* ------------------------------------ */
+
+ *x = ERFA_DAS2R * (xypr[0] + (xyls[0] + xypl[0]) / 1e6);
+ *y = ERFA_DAS2R * (xypr[1] + (xyls[1] + xypl[1]) / 1e6);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/xys00a.c b/src/detail/erfa/xys00a.c
new file mode 100644
index 000000000..cbd522381
--- /dev/null
+++ b/src/detail/erfa/xys00a.c
@@ -0,0 +1,144 @@
+#include "erfa.h"
+
+void eraXys00a(double date1, double date2,
+ double *x, double *y, double *s)
+/*
+** - - - - - - - - - -
+** e r a X y s 0 0 a
+** - - - - - - - - - -
+**
+** For a given TT date, compute the X,Y coordinates of the Celestial
+** Intermediate Pole and the CIO locator s, using the IAU 2000A
+** precession-nutation model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** x,y double Celestial Intermediate Pole (Note 2)
+** s double the CIO locator s (Note 3)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The Celestial Intermediate Pole coordinates are the x,y
+** components of the unit vector in the Geocentric Celestial
+** Reference System.
+**
+** 3) The CIO locator s (in radians) positions the Celestial
+** Intermediate Origin on the equator of the CIP.
+**
+** 4) A faster, but slightly less accurate result (about 1 mas for
+** X,Y), can be obtained by using instead the eraXys00b function.
+**
+** Called:
+** eraPnm00a classical NPB matrix, IAU 2000A
+** eraBpn2xy extract CIP X,Y coordinates from NPB matrix
+** eraS00 the CIO locator s, given X,Y, IAU 2000A
+**
+** Reference:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rbpn[3][3];
+
+
+/* Form the bias-precession-nutation matrix, IAU 2000A. */
+ eraPnm00a(date1, date2, rbpn);
+
+/* Extract X,Y. */
+ eraBpn2xy(rbpn, x, y);
+
+/* Obtain s. */
+ *s = eraS00(date1, date2, *x, *y);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/xys00b.c b/src/detail/erfa/xys00b.c
new file mode 100644
index 000000000..09a68a463
--- /dev/null
+++ b/src/detail/erfa/xys00b.c
@@ -0,0 +1,144 @@
+#include "erfa.h"
+
+void eraXys00b(double date1, double date2,
+ double *x, double *y, double *s)
+/*
+** - - - - - - - - - -
+** e r a X y s 0 0 b
+** - - - - - - - - - -
+**
+** For a given TT date, compute the X,Y coordinates of the Celestial
+** Intermediate Pole and the CIO locator s, using the IAU 2000B
+** precession-nutation model.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** x,y double Celestial Intermediate Pole (Note 2)
+** s double the CIO locator s (Note 3)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The Celestial Intermediate Pole coordinates are the x,y
+** components of the unit vector in the Geocentric Celestial
+** Reference System.
+**
+** 3) The CIO locator s (in radians) positions the Celestial
+** Intermediate Origin on the equator of the CIP.
+**
+** 4) The present function is faster, but slightly less accurate (about
+** 1 mas in X,Y), than the eraXys00a function.
+**
+** Called:
+** eraPnm00b classical NPB matrix, IAU 2000B
+** eraBpn2xy extract CIP X,Y coordinates from NPB matrix
+** eraS00 the CIO locator s, given X,Y, IAU 2000A
+**
+** Reference:
+**
+** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
+** IERS Technical Note No. 32, BKG (2004)
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rbpn[3][3];
+
+
+/* Form the bias-precession-nutation matrix, IAU 2000A. */
+ eraPnm00b(date1, date2, rbpn);
+
+/* Extract X,Y. */
+ eraBpn2xy(rbpn, x, y);
+
+/* Obtain s. */
+ *s = eraS00(date1, date2, *x, *y);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/xys06a.c b/src/detail/erfa/xys06a.c
new file mode 100644
index 000000000..3badf5293
--- /dev/null
+++ b/src/detail/erfa/xys06a.c
@@ -0,0 +1,144 @@
+#include "erfa.h"
+
+void eraXys06a(double date1, double date2,
+ double *x, double *y, double *s)
+/*
+** - - - - - - - - - -
+** e r a X y s 0 6 a
+** - - - - - - - - - -
+**
+** For a given TT date, compute the X,Y coordinates of the Celestial
+** Intermediate Pole and the CIO locator s, using the IAU 2006
+** precession and IAU 2000A nutation models.
+**
+** Given:
+** date1,date2 double TT as a 2-part Julian Date (Note 1)
+**
+** Returned:
+** x,y double Celestial Intermediate Pole (Note 2)
+** s double the CIO locator s (Note 3)
+**
+** Notes:
+**
+** 1) The TT date date1+date2 is a Julian Date, apportioned in any
+** convenient way between the two arguments. For example,
+** JD(TT)=2450123.7 could be expressed in any of these ways,
+** among others:
+**
+** date1 date2
+**
+** 2450123.7 0.0 (JD method)
+** 2451545.0 -1421.3 (J2000 method)
+** 2400000.5 50123.2 (MJD method)
+** 2450123.5 0.2 (date & time method)
+**
+** The JD method is the most natural and convenient to use in
+** cases where the loss of several decimal digits of resolution
+** is acceptable. The J2000 method is best matched to the way
+** the argument is handled internally and will deliver the
+** optimum resolution. The MJD method and the date & time methods
+** are both good compromises between resolution and convenience.
+**
+** 2) The Celestial Intermediate Pole coordinates are the x,y components
+** of the unit vector in the Geocentric Celestial Reference System.
+**
+** 3) The CIO locator s (in radians) positions the Celestial
+** Intermediate Origin on the equator of the CIP.
+**
+** 4) Series-based solutions for generating X and Y are also available:
+** see Capitaine & Wallace (2006) and eraXy06.
+**
+** Called:
+** eraPnm06a classical NPB matrix, IAU 2006/2000A
+** eraBpn2xy extract CIP X,Y coordinates from NPB matrix
+** eraS06 the CIO locator s, given X,Y, IAU 2006
+**
+** References:
+**
+** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855
+**
+** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ double rbpn[3][3];
+
+
+/* Form the bias-precession-nutation matrix, IAU 2006/2000A. */
+ eraPnm06a(date1, date2, rbpn);
+
+/* Extract X,Y. */
+ eraBpn2xy(rbpn, x, y);
+
+/* Obtain s. */
+ *s = eraS06(date1, date2, *x, *y);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/zp.c b/src/detail/erfa/zp.c
new file mode 100644
index 000000000..385db4a32
--- /dev/null
+++ b/src/detail/erfa/zp.c
@@ -0,0 +1,88 @@
+#include "erfa.h"
+
+void eraZp(double p[3])
+/*
+** - - - - - -
+** e r a Z p
+** - - - - - -
+**
+** Zero a p-vector.
+**
+** Returned:
+** p double[3] zero p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ p[0] = 0.0;
+ p[1] = 0.0;
+ p[2] = 0.0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/zpv.c b/src/detail/erfa/zpv.c
new file mode 100644
index 000000000..f9b044ba5
--- /dev/null
+++ b/src/detail/erfa/zpv.c
@@ -0,0 +1,90 @@
+#include "erfa.h"
+
+void eraZpv(double pv[2][3])
+/*
+** - - - - - - -
+** e r a Z p v
+** - - - - - - -
+**
+** Zero a pv-vector.
+**
+** Returned:
+** pv double[2][3] zero pv-vector
+**
+** Called:
+** eraZp zero p-vector
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ eraZp(pv[0]);
+ eraZp(pv[1]);
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
diff --git a/src/detail/erfa/zr.c b/src/detail/erfa/zr.c
new file mode 100644
index 000000000..f7cf4a35a
--- /dev/null
+++ b/src/detail/erfa/zr.c
@@ -0,0 +1,94 @@
+#include "erfa.h"
+
+void eraZr(double r[3][3])
+/*
+** - - - - - -
+** e r a Z r
+** - - - - - -
+**
+** Initialize an r-matrix to the null matrix.
+**
+** Returned:
+** r double[3][3] r-matrix
+**
+** This revision: 2021 May 11
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** Derived, with permission, from the SOFA library. See notes at end of file.
+*/
+{
+ r[0][0] = 0.0;
+ r[0][1] = 0.0;
+ r[0][2] = 0.0;
+ r[1][0] = 0.0;
+ r[1][1] = 0.0;
+ r[1][2] = 0.0;
+ r[2][0] = 0.0;
+ r[2][1] = 0.0;
+ r[2][2] = 0.0;
+
+/* Finished. */
+
+}
+/*----------------------------------------------------------------------
+**
+**
+** Copyright (C) 2013-2023, NumFOCUS Foundation.
+** All rights reserved.
+**
+** This library is derived, with permission, from the International
+** Astronomical Union's "Standards of Fundamental Astronomy" library,
+** available from http://www.iausofa.org.
+**
+** The ERFA version is intended to retain identical functionality to
+** the SOFA library, but made distinct through different function and
+** file names, as set out in the SOFA license conditions. The SOFA
+** original has a role as a reference standard for the IAU and IERS,
+** and consequently redistribution is permitted only in its unaltered
+** state. The ERFA version is not subject to this restriction and
+** therefore can be included in distributions which do not support the
+** concept of "read only" software.
+**
+** Although the intent is to replicate the SOFA API (other than
+** replacement of prefix names) and results (with the exception of
+** bugs; any that are discovered will be fixed), SOFA is not
+** responsible for any errors found in this version of the library.
+**
+** If you wish to acknowledge the SOFA heritage, please acknowledge
+** that you are using a library derived from SOFA, rather than SOFA
+** itself.
+**
+**
+** TERMS AND CONDITIONS
+**
+** Redistribution and use in source and binary forms, with or without
+** modification, are permitted provided that the following conditions
+** are met:
+**
+** 1 Redistributions of source code must retain the above copyright
+** notice, this list of conditions and the following disclaimer.
+**
+** 2 Redistributions in binary form must reproduce the above copyright
+** notice, this list of conditions and the following disclaimer in
+** the documentation and/or other materials provided with the
+** distribution.
+**
+** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
+** the International Astronomical Union nor the names of its
+** contributors may be used to endorse or promote products derived
+** from this software without specific prior written permission.
+**
+** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+** POSSIBILITY OF SUCH DAMAGE.
+**
+*/
From 637b4a655d80491bc5c1b483756391d8f96efb97 Mon Sep 17 00:00:00 2001
From: Francesco Biscani <bluescarni@gmail.com>
Date: Wed, 1 Jan 2025 10:29:40 +0100
Subject: [PATCH 2/6] Bump to 7.1.0 for devel.
---
CMakeLists.txt | 4 ++--
1 file changed, 2 insertions(+), 2 deletions(-)
diff --git a/CMakeLists.txt b/CMakeLists.txt
index 290191779..a9c63c62c 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -11,7 +11,7 @@ if(NOT CMAKE_BUILD_TYPE)
FORCE)
endif()
-project(heyoka VERSION 7.0.0 LANGUAGES CXX C)
+project(heyoka VERSION 7.1.0 LANGUAGES CXX C)
list(APPEND CMAKE_MODULE_PATH "${CMAKE_CURRENT_SOURCE_DIR}/cmake" "${CMAKE_CURRENT_SOURCE_DIR}/cmake/yacma")
@@ -330,7 +330,7 @@ if(HEYOKA_WITH_SLEEF)
endif()
# Setup the heyoka ABI version number.
-set(HEYOKA_ABI_VERSION 32)
+set(HEYOKA_ABI_VERSION 33)
if(HEYOKA_BUILD_STATIC_LIBRARY)
# Setup of the heyoka static library.
From 0f59664db5cc31f877cf8d9d99d84ff6c521e622 Mon Sep 17 00:00:00 2001
From: Francesco Biscani <bluescarni@gmail.com>
Date: Wed, 1 Jan 2025 11:03:38 +0100
Subject: [PATCH 3/6] Try excluding C files from clang tidy.
---
tools/gha_conda_clang_tidy.sh | 1 -
1 file changed, 1 deletion(-)
diff --git a/tools/gha_conda_clang_tidy.sh b/tools/gha_conda_clang_tidy.sh
index 155aaa434..38fe799e1 100644
--- a/tools/gha_conda_clang_tidy.sh
+++ b/tools/gha_conda_clang_tidy.sh
@@ -34,7 +34,6 @@ cmake ../ -G Ninja \
-DHEYOKA_WITH_SLEEF=yes \
-DCMAKE_CXX_FLAGS_DEBUG="-g -Og" \
-DCMAKE_CXX_CLANG_TIDY=`which clang-tidy` \
- -DCMAKE_C_CLANG_TIDY=`which clang-tidy` \
-DCMAKE_C_COMPILER=clang \
-DCMAKE_CXX_COMPILER=clang++
From 7a1866dde2a332f483320ff7580f10b9ee5c1190 Mon Sep 17 00:00:00 2001
From: Francesco Biscani <bluescarni@gmail.com>
Date: Wed, 1 Jan 2025 11:15:46 +0100
Subject: [PATCH 4/6] Remove unused file.
---
src/detail/erfa/.clang-tidy | 1 -
1 file changed, 1 deletion(-)
delete mode 100644 src/detail/erfa/.clang-tidy
diff --git a/src/detail/erfa/.clang-tidy b/src/detail/erfa/.clang-tidy
deleted file mode 100644
index 612bd0ee8..000000000
--- a/src/detail/erfa/.clang-tidy
+++ /dev/null
@@ -1 +0,0 @@
-Checks: '-*'
From 26b212489961b266cd34e05f51c048f1fb42105d Mon Sep 17 00:00:00 2001
From: Francesco Biscani <bluescarni@gmail.com>
Date: Wed, 1 Jan 2025 12:00:51 +0100
Subject: [PATCH 5/6] Implement the UTC -> TAI conversion in the sgp4
propagator.
---
include/heyoka/model/sgp4.hpp | 5 ++-
src/model/sgp4.cpp | 60 ++++++++++++++++++++++-------------
2 files changed, 40 insertions(+), 25 deletions(-)
diff --git a/include/heyoka/model/sgp4.hpp b/include/heyoka/model/sgp4.hpp
index e031727d5..928c2b341 100644
--- a/include/heyoka/model/sgp4.hpp
+++ b/include/heyoka/model/sgp4.hpp
@@ -163,9 +163,8 @@ class HEYOKA_DLL_PUBLIC_INLINE_CLASS sgp4_propagator
// - the reference epoch (as a Julian date),
// - a fractional correction to the epoch (in Julian days).
//
- // Note that UTC Julian dates will result in slightly incorrect results when
- // propagating across leap seconds. See the Python tutorial for an explanation.
- // TAI Julian dates can be used instead for accurate propagation across leap seconds.
+ // Julian dates are to be provided in the UTC scale of time. Internal conversion
+ // to TAI will ensure correct propagation across leap seconds.
template <typename LayoutPolicy, typename AccessorPolicy, typename... KwArgs>
requires(!igor::has_unnamed_arguments<KwArgs...>())
explicit sgp4_propagator(
diff --git a/src/model/sgp4.cpp b/src/model/sgp4.cpp
index 8d753895a..e38130cfb 100644
--- a/src/model/sgp4.cpp
+++ b/src/model/sgp4.cpp
@@ -851,33 +851,51 @@ namespace detail
namespace
{
+// The erfa function for UTC to TAI conversion.
+extern "C" int eraUtctai(double, double, double *, double *);
+
// Helper to convert a Julian date into a time delta suitable for use in the SGP4 algorithm.
// The reference epochs for all satellites are stored in sat_buffer, the dates are passed in
// via the 'dates' argument, n_sats is the total number of satellites and i is the index
-// of the satellite on which we are operating. The conversion is done in double-length arithmetic,
-// using the fractional parts of the date and epochs as lower halves of the double-length
-// numbers.
+// of the satellite on which we are operating. The double-length UTC Julian dates are first converted
+// to TAI Julian dates using an erfa routine. The resulting TAI dates are then normalised and
+// subtracted to yield the final time delta.
template <typename SizeType, typename Dates, typename T>
T sgp4_date_to_tdelta(SizeType i, Dates dates, const std::vector<T> &sat_buffer, std::uint32_t n_sats)
{
using dfloat = heyoka::detail::dfloat<T>;
- // Normalise the propagation date into a double-length number.
+ // Convert the target propagation date to TAI using erfa.
+ // NOTE: the docs of the erfa routine indicate that we do not have
+ // to normalise the input UTC double-length Julian dates.
+ double tai_prop_date_hi{}, tai_prop_date_lo{};
+ auto res = eraUtctai(dates(i).jd, dates(i).frac, &tai_prop_date_hi, &tai_prop_date_lo);
+ if (res == -1) [[unlikely]] {
+ throw std::invalid_argument(
+ fmt::format("An invalid UTC propagation date ({}, {}) was detected for the satellite at index {}",
+ dates(i).jd, dates(i).frac, i));
+ }
+
+ // Convert the satellite epoch to TAI.
+ double tai_epoch_hi{}, tai_epoch_lo{};
+ const auto utc_epoch_hi = sat_buffer[static_cast<SizeType>(7) * n_sats + i];
+ const auto utc_epoch_lo = sat_buffer[static_cast<SizeType>(8) * n_sats + i];
+ res = eraUtctai(utc_epoch_hi, utc_epoch_lo, &tai_epoch_hi, &tai_epoch_lo);
+ if (res == -1) [[unlikely]] {
+ throw std::invalid_argument(fmt::format(
+ "An invalid UTC epoch ({}, {}) was detected for the satellite at index {}", utc_epoch_hi, utc_epoch_lo, i));
+ }
+
+ // Normalise the TAI propagation date into a double-length number.
// NOTE: we use Knuth's EFT here in order to ensure correctness
// even if the fractional part of the date is greater in magnitude
// than the main part.
- const auto norm_prop_date = heyoka::detail::eft_add_knuth(dates(i).jd, dates(i).frac);
+ const auto norm_prop_date
+ = heyoka::detail::eft_add_knuth(static_cast<T>(tai_prop_date_hi), static_cast<T>(tai_prop_date_lo));
const auto date = dfloat(norm_prop_date.first, norm_prop_date.second);
- // Load the reference epoch for the i-th satellite.
- const auto epoch_hi = sat_buffer[static_cast<SizeType>(7) * n_sats + i];
- const auto epoch_lo = sat_buffer[static_cast<SizeType>(8) * n_sats + i];
-
- // Normalise it into a double-length number.
- // NOTE: we use Knuth's EFT here in order to ensure correctness
- // even if the fractional part of the epoch is greater in magnitude
- // than the main part.
- const auto norm_epoch = heyoka::detail::eft_add_knuth(epoch_hi, epoch_lo);
+ // Do the same for the epoch.
+ const auto norm_epoch = heyoka::detail::eft_add_knuth(static_cast<T>(tai_epoch_hi), static_cast<T>(tai_epoch_lo));
const auto epoch = dfloat(norm_epoch.first, norm_epoch.second);
// Compute the time delta in double-length arithmetic, truncate to a single-length
@@ -909,12 +927,10 @@ void sgp4_propagator<T>::operator()(out_2d out, in_1d<date> dates)
using tms_vec_size_t = decltype(tms_vec.size());
tms_vec.resize(boost::numeric_cast<tms_vec_size_t>(dates.extent(0)));
- // NOTE: we have a rough estimate of <~50 flops for a single execution of sgp4_date_to_tdelta().
+ // NOTE: we have a rough estimate of ~200 flops for a single execution of sgp4_date_to_tdelta().
// Taking the usual figure of ~10'000 clock cycles as minimum threshold to parallelise, we enable
- // parallelisation if we have 200 satellites or more.
- // NOTE: as an alternative, if we had double-length add/sub in the expression system,
- // we could do the transformation on-line as we evaluate the sgp4 propagation.
- if (n_sats >= 200u) {
+ // parallelisation if we have 50 satellites or more.
+ if (n_sats >= 50u) {
oneapi::tbb::parallel_for(oneapi::tbb::blocked_range<tms_vec_size_t>(0, tms_vec.size()),
[&tms_vec, dates, this, n_sats](const auto &range) {
for (auto i = range.begin(); i != range.end(); ++i) {
@@ -1029,10 +1045,10 @@ void sgp4_propagator<T>::operator()(out_3d out, in_2d<date> dates)
using tms_vec_size_t = decltype(tms_vec.size());
tms_vec.resize(boost::safe_numerics::safe<tms_vec_size_t>(n_evals) * dates.extent(1));
- // NOTE: we have a rough estimate of <~50 flops for a single execution of sgp4_date_to_tdelta().
+ // NOTE: we have a rough estimate of ~200 flops for a single execution of sgp4_date_to_tdelta().
// Taking the usual figure of ~10'000 clock cycles as minimum threshold to parallelise, we enable
- // parallelisation if tms_vec.size() (i.e., n_evals * n_sats) is 200 or more.
- if (tms_vec.size() >= 200u) {
+ // parallelisation if tms_vec.size() (i.e., n_evals * n_sats) is 50 or more.
+ if (tms_vec.size() >= 50u) {
oneapi::tbb::parallel_for(
oneapi::tbb::blocked_range2d<std::size_t>(0, dates.extent(0), 0, dates.extent(1)),
[&tms_vec, dates, this, n_sats](const auto &range) {
From f4cc21a9165d9075013bccdff9abb72d211f75b5 Mon Sep 17 00:00:00 2001
From: Francesco Biscani <bluescarni@gmail.com>
Date: Thu, 2 Jan 2025 09:34:10 +0100
Subject: [PATCH 6/6] Update changelog.
---
doc/changelog.rst | 10 ++++++++++
1 file changed, 10 insertions(+)
diff --git a/doc/changelog.rst b/doc/changelog.rst
index da761179a..025f3d9a8 100644
--- a/doc/changelog.rst
+++ b/doc/changelog.rst
@@ -1,6 +1,16 @@
Changelog
=========
+7.1.0 (2025-01-02)
+------------------
+
+Changes
+~~~~~~~
+
+- The SGP4 propagator now expects epochs and propagation dates
+ as UTC Julian dates
+ (`#466 <https://github.com/bluescarni/heyoka/pull/466>`__).
+
7.0.0 (2024-12-28)
------------------