summaryrefslogtreecommitdiff
path: root/Master/texmf-dist/source/lualatex/lualatex-math/lualatex-math.dtx
blob: aad394b9896cc75c4828f4a3bf8773f80c0a20d8 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
% \iffalse meta-comment
%
% Copyright 2011–2013 by Philipp Stephani
%
% This file may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either
% version 1.3c of this license or (at your option) any later
% version.  The latest version of this license is in:
%
%    http://www.latex-project.org/lppl.txt
%
% and version 1.3c or later is part of all distributions of
% LaTeX version 2009/09/24 or later.
%
% \fi
%
% \iffalse
%<*driver>
\documentclass[a4paper, 10pt, ngerman, american]{phst-doc}

\usepackage{lualatex-math}
\newcommand*{\thispackage}{\textsf{lualatex-math}\xspace}

%<!english>\excludecomment{english}
%<!german>\excludecomment{german}
%<!english>\OnlyDescription

\begin{document}

%<german>\selectlanguage{ngerman}

\DocInput{lualatex-math.dtx}
\PrintChanges
%<english>\PrintIndex

\end{document}
%</driver>
% \fi
%
% \CheckSum{960}
%
% \CharacterTable
%  {Upper-case    \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%   Lower-case    \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%   Digits        \0\1\2\3\4\5\6\7\8\9
%   Exclamation   \!     Double quote  \"     Hash (number) \#
%   Dollar        \$     Percent       \%     Ampersand     \&
%   Acute accent  \'     Left paren    \(     Right paren   \)
%   Asterisk      \*     Plus          \+     Comma         \,
%   Minus         \-     Point         \.     Solidus       \/
%   Colon         \:     Semicolon     \;     Less than     \<
%   Equals        \=     Greater than  \>     Question mark \?
%   Commercial at \@     Left bracket  \[     Backslash     \\
%   Right bracket \]     Circumflex    \^     Underscore    \_
%   Grave accent  \`     Left brace    \{     Vertical bar  \|
%   Right brace   \}     Tilde         \~}
%
%
% \begin{english}
%   \changes{v0.1}{2011/04/22}{Initial version}
%   \changes{v0.3a}{2011/09/13}{Updated for changes in \pkg{l3kernel}}
%   \changes{v1.0}{2012/08/27}{Switched to \pkg{l3docstrip}}
% \end{english}
%
% \begin{german}
%   \changes{v0.1}{2011/04/22}{Erste Version}
%   \changes{v0.3a}{2011/09/13}{Aktualisierung nach inkompatiblen Änderungen in \pkg{l3kernel}}
%   \changes{v1.0}{2012/08/27}{Umstellung auf \pkg{l3docstrip}}
% \end{german}
%
% \GetFileInfo{lualatex-math.sty}
%
% \begin{english}
%   \title{The \thispackage package\thanks{This document corresponds to
%       \thispackage{}~\fileversion, dated~\filedate.}}
% \end{english}
% \begin{german}
%   \title{Das Paket \thispackage\thanks{Dieses Dokument beschreibt
%       \thispackage{}~\fileversion vom~\filedate.}}
% \end{german}
%
% \author{Philipp Stephani \\ \texttt{p.stephani2@gmail.com}}
% \date{\filedate}
%
%
% \maketitle
% \tableofcontents
%
%
% \begin{english}
%   \section{Introduction}
%
%   \Hologo{LuaTeX} brings major improvements to all areas of \hologo{TeX}
%   typesetting and programming.  They are made available through new primitives
%   or the embedded Lua interpreter, and combining them with existing
%   \hologo{LaTeX2e} packages is not a task the average \hologo{LaTeX} user
%   should have to care about.  Therefore a multitude of \hologo{LaTeX2e}
%   packages have been written to bridge the gap between documents and the new
%   features.  The \thispackage package focuses on the additional possibilities
%   for mathematical typesetting.  The most eminent of the new features is the
%   ability to use Unicode and OpenType fonts, as provided by \Robertson’s
%   \pkg{unicode-math} package.  However, there is a smaller group of changes
%   unrelated to Unicode: these are to be dealt with in this package.  While in
%   principle most \hologo{TeX} documents written for traditional engines should
%   work just fine with \hologo{LuaTeX}, there is a small number of breaking
%   changes that require the attention of package authors.  The \thispackage
%   package tries to fix some of the issues encountered while porting traditional
%   macro packages to \hologo{LuaLaTeX}.
%
%   The decision to write patches for existing macro packages should not be
%   made lightly: monkey patching done by somebody different from the original
%   package author ties the patching package to the implementation details of
%   the patched functionality and breaks all rules of encapsulation.  However,
%   due to the lack of alternatives, it has become an accepted way of providing
%   new functionality in \hologo{LaTeX}.  To keep the negative impact as small
%   as possible, the \thispackage package patches only the \hologo{LaTeX2e}
%   kernel and a small number of popular packages.  In general, this package
%   should be regarded as a temporary kludge that should be removed once the
%   math-related packages are updated to be usable with \hologo{LuaTeX}.  By
%   its very nature, the package is likely to cause problems; in such cases,
%   please refer to the issue
%   tracker\footnote{\url{https://github.com/phst/lualatex-math/issues}}.
% \end{english}
%
% \begin{german}
%   \section{Einführung}
%
%   \Hologo{LuaTeX} bringt zahlreiche Verbesserungen für alle Gebiete des
%   Satzes und der Programmierung mit \hologo{TeX} mit sich.  Diese
%   Verbesserungen werden in Form von neuen primitiven Befehlen oder durch den
%   eingebetteten Lua-Interpreter zur Verfügung gestellt, und normale
%   \hologo{LaTeX}-Benutzer sollten sich nicht damit beschäftigen müssen, sie
%   in \hologo{LaTeX2e} zu integrieren.  Aus diesem Grund ist eine Vielzahl von
%   \hologo{LaTeX2e}-Paketen entstanden, um die Lücke zwischen existierenden
%   Dokumenten und den neuen Möglichkeiten zu schließen.  Das Paket
%   \thispackage beschäftigt sich mit den zusätzlichen Möglichkeiten für den
%   Mathematiksatz.  Die wichtigste davon ist die Möglichkeit, Unicode und
%   OpenType-Schriften zu benutzen, was durch \Robertson{}s
%   \pkg{unicode-math}-Paket ermöglicht wird.  Allerdings gibt es ein paar
%   Änderungen, die nicht in Bezug zu Unicode stehen: um diese kümmert sich das
%   vorliegende Paket.  Während prinzipiell die meisten \hologo{TeX}-Dokumente,
%   die zur Verwendung mit den althergebrachten Engines verfasst wurden, ohne
%   Probleme auch mit \hologo{LuaTeX} funktionieren sollten, gibt es ein paar
%   wenige inkompatible Änderungen, die die Aufmerksamkeit von Paketautoren
%   einfordern.  Das \thispackage-Paket versucht, einige der Probleme zu lösen,
%   die bei der Übertragung einiger vorhandener Makropakete nach
%   \hologo{LuaLaTeX} festgestellt wurden.
%
%   Im Allgemeinen sollte man nur nach sorgfältiger Abwägung Patches für
%   vorhandene Makropakete verfassen: das Patchen von Code durch jemand anderen
%   als den ursprünglichen Autor macht den neuen Code von der Implementation
%   der gepatchten Funktionalität abhänging, was dem Kapselungsprinzip
%   widerspricht.  Dennoch ist diese Art der Programmierung mangels
%   Alternativen zu einer akzeptierten Herangehensweise beim Implementieren
%   neuer Funktionalität für \hologo{LaTeX} geworden.  Um die negativen
%   Auswirkungen so gering wie möglich zu halten, verändert das
%   \thispackage-Paket nur den \hologo{LaTeX2e}-Kern und einige wenige bekannte
%   Pakete.  Generell sollte das vorliegende Paket als eine Zwischenlösung
%   angesehen werden, die zu entfernen ist, sobald die mathematiksatzbezogenen
%   Pakete aktualisiert wurden und korrekt unter \hologo{LuaTeX} funktionieren.
%   Aufgrund seiner Natur ist es wahrscheinlich, dass dieses Paket Probleme
%   verursacht; in diesen Fall benutze bitte den
%   Bugtracker\footnote{\url{https://github.com/phst/lualatex-math/issues}}.
% \end{german}
%
%
% \begin{english}
%   \section{Interface}
%
%   The \thispackage package can be loaded with \cmd{\usepackage} or
%   \cmd{\RequirePackage}, as usual.  It has no options and no public
%   interface; the patching is always done when the package is loaded and
%   cannot be controlled.  As a matter of course, the \thispackage package
%   needs \hologo{LuaLaTeX} to function; it will produce error messages and
%   refuse to load under other engines and formats.  The package depends on the
%   \pkg{expl3} bundle, the \pkg{etoolbox} package, the \pkg{luatexbase} bundle
%   and the \pkg{filehook} package.  The \thispackage package is independent of
%   the \pkg{unicode-math} package; the fixes provided here are valid for both
%   Unicode and legacy math typesetting.
%
%   Currently patches for the \hologo{LaTeX2e} kernel and the \pkg{amsmath},
%   \pkg{amsopn}, \pkg{mathtools} and \pkg{icomma} packages are provided.  It
%   is not relevant whether you load these packages before or after
%   \thispackage.  They should work as expected (and ideally you shouldn’t
%   notice anything), but if you load other packages that by themselves
%   overwrite commands patched by this package, bad things may happen, as it is
%   usual with \hologo{LaTeX}.
%
%   One user-visible change is that the new
%   \DescribeMacros{\mathstyle\luatexmathstyle}\cmd{\mathstyle} primitive
%   (usually called \cmd{\luatexmathstyle} in \hologo{LuaLaTeX}) should work in
%   all cases after the \thispackage package has been loaded, provided you use
%   the high-level macros \DescribeMacros{\frac\binom\genfrac}\cmd{\frac},
%   \cmd{\binom}, and \cmd{\genfrac}.  The fraction-like \hologo{TeX}
%   primitives like \cmd{\over} or \cmd{\atopwithdelims} and the
%   \hologo{plainTeX} leftovers like \cmd{\brack} or \cmd{\choose} cannot be
%   patched, and you shouldn’t use them.
% \end{english}
%
% \begin{german}
%   \section{Schnittstelle}
%
%   Das \thispackage-Paket kann wie üblich mit Hilfe von |\usepackage| oder
%   |\RequirePackage| geladen werden.  Es besitzt weder Optionen noch eine
%   öffentliche Schnittstelle; der Patchprozess wird automatisch durchgeführt,
%   sobald das Paket geladen wird.  Selbstverständlich funktioniert das
%   \thispackage-Paket nur unter \hologo{LuaLaTeX}; für andere Engines oder
%   Formate bricht das Laden mit einer Fehlermeldung ab.  Das Paket hängt von
%   der \pkg{expl3}-Sammlung, dem \pkg{etoolbox}-Paket, der
%   \pkg{luatexbase}-Sammlung und dem \pkg{filehook}-Paket ab.  Das
%   \thispackage-Paket ist unabhängig vom \pkg{unicode-math}-Paket; die hier
%   zur Verfügung gestellten Korrekturen sind sowohl für Unicode"~ als auch für
%   herkömmlichen Mathematiksatz gültig.
%
%   Aktuell werden Patches für den \hologo{LaTeX2e}-Kern sowie für die Pakete
%   \pkg{amsmath}, \pkg{amsopn}, \pkg{mathtools} und \pkg{icomma} angeboten.
%   Es spielt keine Rolle, ob diese Pakete vor oder nach \thispackage geladen
%   werden.  Sie sollten funktionieren wie erwartet (und idealerweise sollte
%   überhaupt keine Änderung bemerkbar sein), aber falls du andere Pakete, die
%   selbst Befehle überschreiben, die von dem vorliegenden Paket gepatcht
%   werden, lädst, können Probleme auftreten, wie bei \hologo{LaTeX} üblich.
%
%   Eine für den Benutzer sichtbare Änderung besteht darin, dass der neue
%   primitive Befehl \DescribeMacros{\mathstyle\luatexmathstyle}|\mathstyle|
%   (in \hologo{LuaLaTeX} allgemein als |\luatexmathstyle| bekannt) in allen
%   Fällen funktionieren sollte, nachdem \thispackage geladen wurde, unter der
%   Bedingung, dass die High-Level-Makros
%   \DescribeMacros{\frac\binom\genfrac}|\frac|, |\binom| und |\genfrac|
%   benutzt werden.  Die bruchartigen primitiven \hologo{TeX}-Befehle wie
%   |\over| oder |\atopwithdelims| und die Makros aus dem
%   \hologo{plainTeX}-Format wie |\brack| oder |\choose| können nicht gepatcht
%   werden und sollten allgemein vermieden werden.
% \end{german}
%
% \StopEventually{}
%
%
% \section{Implementation of the \hologo{LaTeX2e} package}
%
% \subsection{Requirements}
%
%    \begin{macrocode}
%<*package>
%<@@=lltxmath>
\NeedsTeXFormat{LaTeX2e}[2009/09/24]
\RequirePackage{expl3}[2012/08/14]
\ProvidesExplPackage{lualatex-math}{2013/01/13}{1.2}%
  {Patches for mathematics typesetting with LuaLaTeX}
\RequirePackage { etoolbox } [ 2007/10/08 ]
\RequirePackage { luatexbase } [ 2010/05/27 ]
\RequirePackage { filehook } [ 2011/03/09 ]
\RequireLuaModule { lualatex-math } [ 2011/05/05 ]
%    \end{macrocode}
%
% \begin{macro}{\@@_restore_catcode:N}
%   Executing the exhaustive expansion of
%   \cmd{\@@_restore_catcode:N}\meta{character token} restores the category
%   code of the \meta{character token} to its current value.
%    \begin{macrocode}
\cs_new_nopar:Npn \@@_restore_catcode:N #1 {
  \char_set_catcode:nn { \int_eval:n { `#1 } }
    { \char_value_catcode:n { `#1 } }
}
%    \end{macrocode}
% \end{macro}
% We use the macro defined above to restore the category code of the dollar
% sign.  There are packages that make the dollar sign active; hopefully they
% get loaded after the packages we are trying to patch.
%    \begin{macrocode}
\exp_args:Nx \AtEndOfPackage {
  \@@_restore_catcode:N \$
}
\char_set_catcode_math_toggle:N \$
%    \end{macrocode}
%
%
% \subsection{Messages}
%
% \begin{l3message}{luatex-required}
%   Issued when not running under \hologo{LuaTeX}.
%    \begin{macrocode}
\msg_new:nnn { lualatex-math } { luatex-required } {
  The~ lualatex-math~ package~ requires~ LuaTeX. \\
  I~ will~ stop~ loading~ now.
}
%    \end{macrocode}
% \end{l3message}
%
% \begin{l3message}{different-meanings}
%   Issued when two control sequences have different meanings, but should not.
%    \begin{macrocode}
\msg_new:nnnn { lualatex-math } { different-meanings } {
  I've~ expected~ the~ control~ sequences \\
  #1~ and~ #3 \\
  to~ have~ the~ same~ meaning,~ but~ their~ meanings~ are~ different.
} {
  The~ meaning~ of~ #1~ is: \\
  #2 \\
  The~ meaning~ of~ #3~ is: \\
  #4
}
%    \end{macrocode}
% \end{l3message}
%
% \begin{l3message}{macro-expected}
%   Issued when trying to patch a non-macro.  The first argument must be the
%   detokenized macro name.
%    \begin{macrocode}
\msg_new:nnn { lualatex-math } { macro-expected } {
  I've~ expected~ that~ #1~ is~ a~ macro,~ but~ it~ isn't.
}
%    \end{macrocode}
% \end{l3message}
%
% \begin{l3message}{wrong-meaning}
%   Issued when trying to patch a macro with an unexpected meaning.  The first
%   argument must be the detokenized macro name; the second argument must be
%   the actual detokenized meaning; and the third argument must be the expected
%   detokenized meaning.
%    \begin{macrocode}
\msg_new:nnn { lualatex-math } { wrong-meaning } {
  I've~ expected~ #1~ to~ have~ the~ meaning \\
  #3, \\
  but~ it~ has~ the~ meaning \\
  #2.
}
%    \end{macrocode}
% \end{l3message}
%
% \begin{l3message}{patch-macro}
%   Issued when a macro is patched.  The first argument must be the detokenized
%   macro name.
%    \begin{macrocode}
\msg_new:nnn { lualatex-math } { patch-macro } {
  I'm~ going~ to~ patch~ macro~ #1.
}
%    \end{macrocode}
% \end{l3message}
%
%
% \subsection{Initialization}
%
% Unless we are running under \hologo{LuaTeX}, we issue an error and quit
% immediately.  Loading the \pkg{luatexbase} module will already have produced
% an error, but we issue another one for clarity.
%    \begin{macrocode}
\luatex_if_engine:F {
  \msg_error:nn { lualatex-math } { luatex-required }
  \endinput
}
%    \end{macrocode}
%
%
% \subsection{Patching}
%
% \begin{macro}{\@@_temp:w}
%   A scratch macro.
%    \begin{macrocode}
\cs_new_eq:NN \@@_temp:w \prg_do_nothing:
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\luatexUmathcode}
% \begin{macro}{\luatexUmathcodenum}
% \begin{macro}{\luatexUmathchardef}
%   We need the extended versions of \cmd{\mathcode} and \cmd{\mathchardef}.
%   The command \cmd{\luatexbase@ensure@primitive}\marg{name} makes sure that
%   the \hologo{LuaTeX} primitive \cs{\meta{name}} is available under the
%   qualified name \cs{luatex\meta{name}}.
%    \begin{macrocode}
\luatexbase@ensure@primitive { Umathcode }
\luatexbase@ensure@primitive { Umathcodenum }
\luatexbase@ensure@primitive { Umathchardef }
%    \end{macrocode}
% \end{macro}
% \end{macro}
% \end{macro}
%
% \begin{macro}{\@@_assert_eq:NN}
%   The macro \cmd{\@@_assert_eq:NN}\meta{first command}\meta{second command}
%   tests whether the control sequences \meta{first command} and \meta{second
%   command} have the same meaning, and prints an error message if they do not.
%    \begin{macrocode}
\cs_new_protected_nopar:Npn \@@_assert_eq:NN #1 #2 {
  \cs_if_eq:NNF #1 #2 {
    \msg_error:nnxxxx { lualatex-math } { different-meanings }
      { \token_to_str:N #1 } { \token_to_meaning:N #1 }
      { \token_to_str:N #2 } { \token_to_meaning:N #2 }
  }
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\@@_patch:NNnnn}
% \begin{macro}{\@@_patch:cNnnn}
%   The auxiliary macro \cmd{\@@_patch:NNnnn}\meta{command}\meta{factory
%   command}\marg{parameter text}\marg{expected replacement text}\marg{new
%   replacement text} tries to patch \meta{command}.  If \meta{command} is
%   undefined, do nothing.  Otherwise it must be a macro with the given
%   \meta{parameter text} and \meta{expected replacement text}, created by the
%   given \meta{factory command} or equivalent.  In this case it will be
%   overwritten using the \meta{parameter text} and the \meta{new replacement
%   text}.  Otherwise issue a warning and don’t overwrite.
%    \begin{macrocode}
\cs_new_protected_nopar:Npn \@@_patch:NNnnn #1 #2 #3 #4 #5 {
  \cs_if_exist:NT #1 {
    \token_if_macro:NTF #1 {
      \group_begin:
      #2 \@@_temp:w #3 { #4 }
      \cs_if_eq:NNTF #1 \@@_temp:w {
        \msg_info:nnx { lualatex-math } { patch-macro }
          { \token_to_str:N #1 }
        \group_end:
        #2 #1 #3 { #5 }
      } {
        \msg_warning:nnxxx { lualatex-math } { wrong-meaning }
          { \token_to_str:N #1 } { \token_to_meaning:N #1 }
          { \token_to_meaning:N \@@_temp:w }
        \group_end:
      }
    } {
      \msg_warning:nnx { lualatex-math } { macro-expected }
        { \token_to_str:N #1 }
    }
  }
}
\cs_generate_variant:Nn \@@_patch:NNnnn { c }
%    \end{macrocode}
% \end{macro}
% \end{macro}
%
% \begin{macro}{\@@_set_mathchar:NN}
%   The macro \cmd{\@@_set_mathchar:NN}\meta{control sequence}\meta{token}
%   defines the \meta{control sequence} as an extended mathematical character
%   shorthand whose mathematical code is given by the mathematical code of the
%   character \texttt{\textasciigrave}\meta{token}.  We cannot use the
%   |\Umathcharnumdef| primitive here since we would then rely on the
%   |\Umathcodenum| primitive which is currently
%   broken.\footnote{\url{http://tug.org/pipermail/luatex/2012-October/003794.html}}
%   \changes{v0.3c}{2012/08/23}{\pkg{l3kernel} renamed \cs{lua_now:x} to
%   \cs{lua_now_x:n}}
%   \changes{v1.1}{2012/10/13}{Update reasoning why \cs{Umathcharnumdef} is not
%   used here}
%    \begin{macrocode}
\cs_new_protected_nopar:Npn \@@_set_mathchar:NN #1 #2 {
  \luatexUmathchardef #1
  \lua_now_x:n {
    lualatex.math.print_class_fam_slot( \int_eval:n { `#2 } )
  }
  \scan_stop:
}
%    \end{macrocode}
% \end{macro}
%
%
% \subsection{\Hologo{LaTeX2e} kernel}
%
% \changes{v0.3}{2011/08/07}{Patched math group allocation to gain access to
% all families}
% In \hologo{LuaTeX}, we have 256 math families at our disposal.  Therefore we
% modify the \hologo{LaTeX} allocation macros \cmd{\newfam} and
% \cmd{\new@mathgroup} accordingly.
%
% First we test whether \cmd{\newfam} and \cmd{\new@mathgroup} are equal.
%    \begin{macrocode}
\@@_assert_eq:NN \newfam \new@mathgroup
%    \end{macrocode}
%
% \begin{macro}{\new@mathgroup}
%   It is enough to modify the maximum number of families known to the
%   allocation system; the macro \cmd{\alloc@} takes care of the rest.  This
%   would work even if the \pkg{etex} package weren’t loaded.
%    \begin{macrocode}
\@@_patch:NNnnn \new@mathgroup \cs_set_nopar:Npn { } {
%<@@=>
  \alloc@ 8 \mathgroup \chardef \sixt@@n
%<@@=lltxmath>
} {
  \alloc@ 8 \mathgroup \chardef \c_two_hundred_fifty_six
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\newfam}
%   We have to reset \cmd{\newfam} to equal \cmd{\new@mathgroup}.
%    \begin{macrocode}
\cs_set_eq:NN \newfam \new@mathgroup
%    \end{macrocode}
% \end{macro}
%
% \Hologo{LuaTeX} enables access to the current mathematical style via the
% \cmd{\mathstyle} primitive.  For this to work, fraction-like constructs (\eg,
% \meta{numerator} \cmd{\over} \meta{denominator}) have to be enclosed in a
% \cmd{\Ustack} group.  \cmd{\frac} can be patched to do this, but the
% \hologo{plainTeX} remnants \cmd{\choose}, \cmd{\brack} and \cmd{\brace}
% should be discouraged.
%
% \begin{macro}{\luatexUstack}
%   First we make sure that we can use the \cmd{\Ustack} primitive (under the
%   name \cmd{\luatexUstack}).
%    \begin{macrocode}
\luatexbase@ensure@primitive { Ustack }
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\frac}
%   Here we assume that nobody except \pkg{amsmath} redefines \cmd{\frac}.
%   This is obviously not the case, but we ignore other packages (\eg,
%   \pkg{nath}) for the moment.  We only patch the \hologo{LaTeX2e} kernel
%   definition if the \pkg{amsmath} package is not loaded; the corresponding
%   patch for \pkg{amsmath} follows below.
%    \begin{macrocode}
\AtEndPreamble {
  \@ifpackageloaded { amsmath } { } {
    \@@_patch:NNnnn \frac \cs_set_nopar:Npn { #1 #2 } {
      {
        \begingroup #1 \endgroup \over #2
      }
    } {
%    \end{macrocode}
% To do: do we need the additional set of braces around \cmd{\Ustack}?
%    \begin{macrocode}
      {
        \luatexUstack { \group_begin: #1 \group_end: \over #2 }
      }
    }
  }
}
%    \end{macrocode}
% \end{macro}
%
%
% \subsection{\pkg{amsmath}}
%
% The popular \pkg{amsmath} package is subject to three \hologo{LuaTeX}-related problems:
% \begin{itemize}
% \item The \cmd{\mathcode} primitive is used several times, which fails for
%   Unicode math characters.  \cmd{\Umathcode} should be used instead.
% \item Legacy font dimensions are used for constructing stacks in the
%   \cmd{\substack} command and the \env{subarray} environment.  This doesn’t
%   work if a Unicode math font is selected.
% \item The fraction commands \cmd{\frac} and \cmd{\genfrac} don’t use the
%   \cmd{\Ustack} primitive.
% \end{itemize}
%
% \begin{macro}{\luatexalignmark}
% \begin{macro}{\luatexUstartmath}
% \begin{macro}{\luatexUstopmath}
%   We use the primitives corresponding to the alignment mark (\verb+#+) and to
%   the inline math switches; this is more semantical and might lead to better
%   error messages.
%    \begin{macrocode}
\luatexbase@ensure@primitive { alignmark }
\luatexbase@ensure@primitive { Ustartmath }
\luatexbase@ensure@primitive { Ustopmath }
%    \end{macrocode}
% \end{macro}
% \end{macro}
% \end{macro}
%
% \begin{macro}{\luatexUmathstacknumup}
% \begin{macro}{\luatexUmathstackdenomdown}
% \begin{macro}{\luatexUmathstackvgap}
%   Now we require the font parameters we will use.
%    \begin{macrocode}
\luatexbase@ensure@primitive { Umathstacknumup }
\luatexbase@ensure@primitive { Umathstackdenomdown }
\luatexbase@ensure@primitive { Umathstackvgap }
%    \end{macrocode}
% \end{macro}
% \end{macro}
% \end{macro}
%
% \begin{macro}{\c_@@_std_minus_mathcode_int}
% \begin{macro}{\c_@@_std_equal_mathcode_int}
%   These constants contain the standard \hologo{TeX} mathematical codes for
%   the minus and the equal signs.  We temporarily set the math codes to these
%   constants before loading the \pkg{amsmath} package so that it can request
%   the legacy math code without error.
%    \begin{macrocode}
\int_const:Nn \c_@@_std_minus_mathcode_int { "2200 }
\int_const:Nn \c_@@_std_equal_mathcode_int { "303D }
%    \end{macrocode}
% \end{macro}
% \end{macro}
%
% \begin{macro}{\@@_char_dim:NN}
%   The macro \cmd{\@@_char_dim:NN}\meta{primitive}\meta{token} expands to a
%   \meta{dimen} whose value is the metric of the mathematical character
%   corresponding to the character \texttt{\textasciigrave}\meta{token}
%   specified by \meta{primitive}, which must be one of \cmd{\fontcharwd},
%   \cmd{\fontcharht} or \cmd{\fontchardp}, in the currently selected text
%   style font.
%   \changes{v0.3c}{2012/08/23}{\pkg{l3kernel} renamed \cs{lua_now:x} to
%   \cs{lua_now_x:n}}
%    \begin{macrocode}
\cs_new_nopar:Npn \@@_char_dim:NN #1 #2 {
  #1 \textfont
  \lua_now_x:n {
    lualatex.math.print_fam_slot( \int_eval:n { `#2 } )
  }
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\l_@@_minus_mathchar}
% \begin{macro}{\l_@@_equal_mathchar}
%   These mathematical characters are saved before \pkg{amsmath} is loaded so
%   that we can temporarily assign the \hologo{TeX} values to the mathematical
%   codes of the minus and equals signs.  The \pkg{amsmath} package queries
%   these codes, and if they represent Unicode characters, the package loading
%   will fail.  If \pkg{amsmath} has already been loaded, there is nothing we
%   can do, therefore we use the non-starred version of
%   \cmd{\AtBeginOfPackageFile}.
%   \changes{v1.2}{2013/01/13}{Replace removed macro \cs{chk_if_free_cs:N}}
%    \begin{macrocode}
\tl_new:N \l_@@_minus_mathchar
\tl_new:N \l_@@_equal_mathchar
\AtBeginOfPackageFile { amsmath } {
  \@@_set_mathchar:NN \l_@@_minus_mathchar \-
  \@@_set_mathchar:NN \l_@@_equal_mathchar \=
%    \end{macrocode}
% \end{macro}
% \end{macro}
% Now we temporarily reset the mathematical codes.
%    \begin{macrocode}
  \char_set_mathcode:nn { `\- } { \c_@@_std_minus_mathcode_int }
  \char_set_mathcode:nn { `\= } { \c_@@_std_equal_mathcode_int }
  \AtEndOfPackageFile { amsmath } {
%    \end{macrocode}
% \begin{macro}{\std@minus}
% \begin{macro}{\std@equals}
%   The \pkg{amsmath} package defines the control sequences \cmd{\std@minus}
%   and \cmd{\std@equal} as mathematical character shorthands while loading,
%   but uses our restored mathematical codes, which must be fixed.
%    \begin{macrocode}
    \cs_set_eq:NN \std@minus \l_@@_minus_mathchar
    \cs_set_eq:NN \std@equal \l_@@_equal_mathchar
%    \end{macrocode}
% \end{macro}
% \end{macro}
% Finally, we restore the original mathematical codes of the two signs.
%    \begin{macrocode}
    \luatexUmathcodenum `\- \l_@@_minus_mathchar
    \luatexUmathcodenum `\= \l_@@_equal_mathchar
  }
}
%    \end{macrocode}
% All of the following fixes work even if \pkg{amsmath} is already loaded.
% \begin{macro}{\@begindocumenthook}
%   \changes{v0.3b}{2011/09/18}{Another update for a change in \pkg{l3kernel}}
%   \pkg{amsmath} repeats the definiton of \cmd{\std@minus} and
%   \cmd{\std@equal} at the beginning of the document, so we also have to patch
%   the internal kernel macro \cmd{\@begindocumenthook} which contains the hook
%   code.
%    \begin{macrocode}
\AtEndOfPackageFile * { amsmath } {
  \tl_replace_once:Nnn \@begindocumenthook {
    \mathchardef \std@minus \mathcode `\- \relax
    \mathchardef \std@equal \mathcode `\= \relax
  } {
    \@@_set_mathchar:NN \std@minus \-
    \@@_set_mathchar:NN \std@equal \=
  }
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\resetMathstrut@}
%   \pkg{amsmath} uses the box \cmd{\Mathstrutbox@} for struts in mathematical
%   mode.  This box is defined to have the height and depth of the opening
%   parenthesis taken from the current text font.  The command
%   \cmd{\resetMathstrut@} is executed whenever the mathematical fonts are
%   changed and has to restore the correct dimensions.  The original definition
%   uses a temporary mathematical character shorthand definition whose meaning
%   is queried to extract the family and slot.  We can do this in Lua;
%   furthermore we can avoid a temporary box because \hologo{eTeX} allows us to
%   query glyph metrics directly.
%    \begin{macrocode}
  \@@_patch:NNnnn \resetMathstrut@ \cs_set_nopar:Npn { } {
    \setbox \z@ \hbox {
      \mathchardef \@tempa \mathcode `\( \relax % \)
      \def \@tempb ##1 "##2 ##3 { \the \textfont "##3 \char" }
      \expandafter \@tempb \meaning \@tempa \relax
    }
    \ht \Mathstrutbox@ \ht \z@
    \dp \Mathstrutbox@ \dp \z@
  } {
    \box_set_ht:Nn \Mathstrutbox@ {
      \@@_char_dim:NN \fontcharht \( % \)
    }
    \box_set_dp:Nn \Mathstrutbox@ {
      \@@_char_dim:NN \fontchardp \)
    }
  }
%    \end{macrocode}
% \end{macro}
%
% \begin{environment}{subarray}
%   The \env{subarray} environment uses legacy font dimensions.  We simply
%   patch it to use \hologo{LuaTeX} font parameters (and \hologo{LaTeX3}
%   expressions instead of \hologo{TeX} arithmetic).  Since subscript arrays
%   are conceptually vertical stacks, we use the sum of top and bottom shift
%   for the default vertical baseline distance (\cmd{\baselineskip}) and the
%   minimum vertical gap for stack for the minimum baseline distance
%   (\cmd{\lineskip}).
%    \begin{macrocode}
  \@@_patch:NNnnn \subarray \cs_set:Npn { #1 } {
    \vcenter
    \bgroup
    \Let@
    \restore@math@cr
    \default@tag
    \baselineskip \fontdimen 10~ \scriptfont \tw@
    \advance \baselineskip \fontdimen 12~ \scriptfont \tw@
%<@@=>
    \lineskip \thr@@ \fontdimen 8~ \scriptfont \thr@@
%<@@=lltxmath>
    \lineskiplimit \lineskip
    \ialign
    \bgroup
    \ifx c #1 \hfil \fi
    $ \m@th \scriptstyle ## $
    \hfil
    \crcr
  } {
    \vcenter
    \c_group_begin_token
    \Let@
    \restore@math@cr
    \default@tag
    \skip_set:Nn \baselineskip {
      \luatexUmathstacknumup \scriptstyle
      + \luatexUmathstackdenomdown \scriptstyle
    }
    \lineskip \luatexUmathstackvgap \scriptstyle
    \lineskiplimit \lineskip
    \ialign
    \c_group_begin_token
    \token_if_eq_meaning:NNT c #1 { \hfil }
    \luatexUstartmath
    \m@th
    \scriptstyle
    \luatexalignmark \luatexalignmark
    \luatexUstopmath
    \hfil
    \crcr
  }
%    \end{macrocode}
% \end{environment}
%
% \begin{macro}{\frac}
%   Since \cmd{\frac} is declared by \cmd{\DeclareRobustCommand}, we must patch
%   the macro \cmd{\frac\textvisiblespace}.
%    \begin{macrocode}
  \@@_patch:cNnnn { frac~ } \cs_set:Npn { #1 #2 } {
    {
%<@@=>
      \begingroup #1 \endgroup \@@over #2
    }
  } {
    {
      \luatexUstack { \group_begin: #1 \group_end: \@@over #2 }
%<@@=lltxmath>
    }
  }
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\@genfrac}
%   Generalized fractions are typeset by the internal \cmd{\@genfrac} command.
%    \begin{macrocode}
  \@@_patch:NNnnn \@genfrac \cs_set_nopar:Npn {
    #1 #2 #3 #4 #5
  } {
    {
      #1 { \begingroup #4 \endgroup #2 #3 \relax #5 }
    }
  } {
    {
      #1 {
        \luatexUstack {
          \group_begin: #4 \group_end: #2 #3 \scan_stop: #5
        }
      }
    }
  }
}
%    \end{macrocode}
% \end{macro}
%
%
% \subsection{\pkg{amsopn}}
%
% \changes{v1.1}{2012/10/13}{Add fix and unit test for \pkg{amsopn}}
% The \pkg{amsopn} package can be used standalone, but is also loaded by
% \pkg{amsmath}.  It provides the \cmd{\DeclareMathOperator} command which
% breaks when the minus character is a Unicode math character; this issue was
% brought to my attention by \Burnol.
%
% \begin{macro}{\newmcodes@}
%   We only need to patch one usage of |\mathcode| in the internal macro
%   |\newmcodes@|, which is called by all user-defined operators.
%    \begin{macrocode}
\group_begin:
\char_set_catcode_other:N \"
\AtEndOfPackageFile * { amsopn } {
  \@@_patch:NNnnn \newmcodes@ \cs_gset_nopar:Npn { } {
    \mathcode `\' 39
    \mathcode `\* 42
    \mathcode `\. "613A
    \ifnum \mathcode `\- = 45 ~ \else
      \mathchardef \std@minus \mathcode `\- \relax
    \fi
    \mathcode `\- 45
    \mathcode `\/ 47
    \mathcode `\: "603A \relax
  } {
    \char_set_mathcode:nn { `\' } { 39 }
    \char_set_mathcode:nn { `\* } { 42 }
    \char_set_mathcode:nn { `\. } { "613A }
    \int_compare:nNnF { \luatexUmathcodenum `\- } = { 45 } {
      \@@_set_mathchar:NN \std@minus \-
    }
    \char_set_mathcode:nn { `\- } { 45 }
    \char_set_mathcode:nn { `\/ } { 47 }
    \char_set_mathcode:nn { `\: } { "603A }
  }
}
\group_end:
%    \end{macrocode}
% \end{macro}
%
%
% \subsection{\pkg{mathtools}}
%
% \pkg{mathtools}’ \cmd{\cramped} command and others that make use of its
% internal version use a hack involving a null radical.  \Hologo{LuaTeX} has
% primitives for setting material in cramped mode, so we make use of them.
%
% \begin{macro}{\luatexcrampeddisplaystyle}
% \begin{macro}{\luatexcrampedtextstyle}
% \begin{macro}{\luatexcrampedscriptstyle}
% \begin{macro}{\luatexcrampedscriptscriptstyle}
%   First we make sure that the needed primitives for cramped styles are
%   available.
%    \begin{macrocode}
\luatexbase@ensure@primitive { crampeddisplaystyle }
\luatexbase@ensure@primitive { crampedtextstyle }
\luatexbase@ensure@primitive { crampedscriptstyle }
\luatexbase@ensure@primitive { crampedscriptscriptstyle }
%    \end{macrocode}
% \end{macro}
% \end{macro}
% \end{macro}
% \end{macro}
%
% \begin{macro}{\MT_cramped_internal:Nn}
%   The macro \cmd{\MT_cramped_internal:Nn}\meta{style}\marg{expression}
%   typesets the \meta{expression} in the cramped style corresponding to the
%   given \meta{style} (\cmd{\displaystyle} etc.); all we have to do in
%   \hologo{LuaTeX} is to select the correct primitive.  Rewriting the
%   user-level \cmd{\cramped} command and employing \cmd{\mathstyle} would be
%   possible as well, but we avoid this way since we want to patch only a
%   single command.
%    \begin{macrocode}
\AtEndOfPackageFile * { mathtools } {
  \@@_patch:NNnnn \MT_cramped_internal:Nn
    \cs_set_nopar:Npn { #1 #2 } {
    \sbox \z@ {
      $
      \m@th
      #1
      \nulldelimiterspace = \z@
      \radical \z@ { #2 }
      $
    }
    \ifx #1 \displaystyle
      \dimen@ = \fontdimen 8 \textfont 3
      \advance \dimen@ .25 \fontdimen 5 \textfont 2
    \else
      \dimen@ = 1.25 \fontdimen 8
      \ifx #1 \textstyle
        \textfont
      \else
        \ifx #1 \scriptstyle
          \scriptfont
        \else
          \scriptscriptfont
        \fi
      \fi
      3
    \fi
    \advance \dimen@ -\ht\z@
    \ht\z@ = -\dimen@
    \box\z@
  } {
%    \end{macrocode}
% Here the additional set of braces is absolutely necessary, otherwise the
% changed mathematical style would be applied to the material after the
% \cmd{\mathchoice} construct.
%    \begin{macrocode}
    {
      \use:c { luatexcramped \cs_to_str:N #1 } #2
    }
  }
}
%    \end{macrocode}
% \end{macro}
%
%
% \subsection{\pkg{icomma}}
%
% \changes{v0.2}{2011/07/03}{Added patch for the \pkg{icomma} package}
% The \pkg{icomma} package uses |\mathchardef| to save the mathematical code of
% the comma character.  This breaks for Unicode fonts.  The incompatibility was
% noticed by
% \Breitfeld.\footnote{\url{https://groups.google.com/forum/\#!topic/de.comp.text.tex/Cputk-AJS5I/discussion}}
%
% \begin{macro}{\mathcomma}
%   \pkg{icomma} defines the mathemathical character shorthand \cmd{\icomma} at
%   the beginning of the document, therefore we again patch
%   \cmd{\@begindocumenthook}.
%    \begin{macrocode}
\AtEndOfPackageFile * { icomma } {
  \tl_replace_once:Nnn \@begindocumenthook {
    \mathchardef \mathcomma \mathcode `\,
  } {
    \@@_set_mathchar:NN \mathcomma \,
  }
}
%</package>
%    \end{macrocode}
% \end{macro}
%
%
% \section{Implementation of the \hologo{LuaLaTeX} module}
%
% For the Lua module, we use the standard \pkg{luatexbase-modutils} template
% and the \func{module} function.
%    \begin{macrocode}
%<*lua>
require("luatexbase.modutils")
require("luatexbase.cctb")
local err, warn, info, log = luatexbase.provides_module({
  name = "lualatex-math",
  date = "2011/05/05",
  version = 0.1,
  description = "Patches for mathematics typesetting with LuaLaTeX",
  author = "Philipp Stephani",
  licence = "LPPL v1.3+"
})
local unpack = unpack
local string = string
local tex = tex
local cctb = luatexbase.catcodetables
module("lualatex.math")
%    \end{macrocode}
%
% \begin{function}{print_fam_slot}
%   The function \func{print_fam_slot} takes one argument which must be a
%   number.  It interprets the argument as a Unicode code point whose
%   mathematical code is printed in the form
%   \meta{family}\texttt{\textvisiblespace}\meta{slot}, suitable for the
%   right-hand side of \eg \verb|\fontcharht\textfont|.
%    \begin{macrocode}
function print_fam_slot(char)
  local code = tex.getmathcode(char)
  local class, family, slot = unpack(code)
  local result = string.format("%i %i ", family, slot)
  tex.sprint(cctb.string, result)
end
%    \end{macrocode}
% \end{function}
%
% \begin{function}{print_class_fam_slot}
%   The function \func{print_class_fam_slot} takes one argument which must be a
%   number.  It interprets the argument as a Unicode code point whose
%   mathematical code is printed in the form
%   \meta{class}\texttt{\textvisiblespace}\meta{family}\texttt{\textvisiblespace}\meta{slot},
%   suitable for the right-hand side of \cmd{\Umathchardef}.
%    \begin{macrocode}
function print_class_fam_slot(char)
  local code = tex.getmathcode(char)
  local class, family, slot = unpack(code)
  local result = string.format("%i %i %i ", class, family, slot)
  tex.sprint(cctb.string, result)
end
%</lua>
%    \end{macrocode}
% \end{function}
%
%
% \section{Test files}
%
% Finally six small test files—but not a real test suite.
%
%
% \subsection{Common definitions}
%
%    \begin{macrocode}
%<*test>
%<@@=test>
\documentclass[pagesize=auto]{scrartcl}
%    \end{macrocode}
% Only \pkg{xparse} starting with 2008/08/03 has \cmd{\NewDocumentCommand}.
%    \begin{macrocode}
\usepackage{xparse}[2008/08/03]
\usepackage{luacode}
\ExplSyntaxOn
\AtBeginDocument { \errorcontextlines = \c_fifteen }
%    \end{macrocode}
%
% \begin{l3message}{pass}
%   This message is issued when a test passed.
%    \begin{macrocode}
\msg_new:nnn { test } { pass } { #1 }
%    \end{macrocode}
% \end{l3message}
%
% \begin{macro}{\@@_pass:x}
%   The macro \cmd{\@@_pass:x}\marg{text} issues the \msg{pass} message with
%   description \meta{text}.
%    \begin{macrocode}
\cs_new_protected_nopar:Npn \@@_pass:x #1 {
  \msg_info:nnx { test } { pass } { #1 }
}
%    \end{macrocode}
% \end{macro}
%
% \begin{l3message}{fail}
%   This message is issued when a test failed.
%    \begin{macrocode}
\msg_new:nnn { test } { fail } { #1 }
%    \end{macrocode}
% \end{l3message}
%
% \begin{macro}{\@@_fail:x}
%   The macro \cmd{\@@_fail:x}\marg{text} issues the \msg{fail} message with
%   description \meta{text}.
%    \begin{macrocode}
\cs_new_protected_nopar:Npn \@@_fail:x #1 {
  \msg_error:nnx { test } { fail } { #1 }
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\tl_const:Nx}
%   We need expanding constants.
%    \begin{macrocode}
\cs_generate_variant:Nn \tl_const:Nn { Nx }
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\c_@@_equal_tl}
% \begin{macro}{\c_@@_not_equal_tl}
%   Two shorthands for pretty-printing test results.
%    \begin{macrocode}
\tl_const:Nx \c_@@_equal_tl { \c_space_tl == \c_space_tl }
\tl_const:Nx \c_@@_not_equal_tl { \c_space_tl != \c_space_tl }
%    \end{macrocode}
% \end{macro}
% \end{macro}
%
% \begin{macro}{\@@_equal_pass:nxnx}
%   The macro \cmd{\@@_equal_pass:nxnx}\marg{first expression}\marg{first
%   value}\marg{second expression}\marg{second value} is called when the two
%   values arising from the two expressions are equal.
%    \begin{macrocode}
\cs_new_protected_nopar:Npn \@@_equal_pass:nxnx #1 #2 #3 #4 {
  \@@_pass:x {
    \exp_not:n { #1 }
    \c_@@_equal_tl
    #2
    \c_@@_equal_tl
    #4
    \c_@@_equal_tl
    \exp_not:n { #3 }
  }
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\@@_equal_fail:nxnx}
%   The macro \cmd{\@@_equal_pass:nxnx}\marg{first expression}\marg{first
%   value}\marg{second expression}\marg{second value} is called when the two
%   values arising from the two expressions are not equal.
%    \begin{macrocode}
\cs_new_protected_nopar:Npn \@@_equal_fail:nxnx #1 #2 #3 #4 {
  \@@_fail:x {
    \exp_not:n { #1 }
    \c_@@_equal_tl
    #2
    \c_@@_not_equal_tl
    #4
    \c_@@_equal_tl
    \exp_not:n { #3 }
  }
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\@@_assert_equal:NNNNNnn}
% \begin{macro}{\@@_assert_equal:cccccnn}
%   The macro \cmd{\@@_assert_equal:NNNNNnn}\meta{set command}\meta{use
%   command}\meta{compare command}\meta{first temporary command}\meta{second
%   temporary command}\marg{first expression}\marg{second expression} asserts
%   that the two expressions are equal.  The \meta{set command} must have the
%   argument specification \texttt{Nn}, the \meta{use command} \texttt{N}, and
%   the \meta{compare command} \texttt{nNnTF}.
%    \begin{macrocode}
\cs_new_protected_nopar:Npn
\@@_assert_equal:NNNNNnn #1 #2 #3 #4 #5 #6 #7 {
  #1 #4 { #6 }
  #1 #5 { #7 }
  #3 { #4 } = { #5 } {
    \@@_equal_pass:nxnx { #6 } { #2 #4 } { #7 } { #2 #5 }
  } {
    \@@_equal_fail:nxnx { #6 } { #2 #4 } { #7 } { #2 #5 }
  }
}
\cs_generate_variant:Nn \@@_assert_equal:NNNNNnn { ccccc }
%    \end{macrocode}
% \end{macro}
% \end{macro}
%
% \begin{macro}{\@@_assert_equal:nnn}
%   The macro \cmd{\@@_assert_equal:nnn}\marg{data type}\marg{first
%   expression}\marg{second expression} is a simplified version of
%   \cmd{\@@_assert_equal:NNNNNnn} for data types following the \hologo{LaTeX3}
%   naming conventions; \meta{data type} must be \texttt{int}, \texttt{dim},
%   \etc
%    \begin{macrocode}
\cs_new_protected_nopar:Npn \@@_assert_equal:nnn #1 #2 #3 {
  \@@_assert_equal:cccccnn
    { #1 _set:Nn } { #1 _use:N } { #1 _compare:nNnTF }
    { l_@@_tmpa_ #1 } { l_@@_tmpb_ #1 } { #2 } { #3 }
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\l_@@_tmpa_int}
% \begin{macro}{\l_@@_tmpb_int}
%   Scratch registers for numbers.
%    \begin{macrocode}
\int_new:N \l_@@_tmpa_int
\int_new:N \l_@@_tmpb_int
%    \end{macrocode}
% \end{macro}
% \end{macro}
% \begin{macro}{\AssertIntEqual}
%   The command \cmd{\AssertIntEqual}\marg{first expression}\marg{second
%   expression} asserts that the two integral expressions are equal.
%    \begin{macrocode}
\NewDocumentCommand \AssertIntEqual { m m } {
  \@@_assert_equal:nnn { int } { #1 } { #2 }
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\l_@@_tmpa_int}
% \begin{macro}{\l_@@_tmpb_int}
%   Scratch registers for dimensions.
%    \begin{macrocode}
\dim_new:N \l_@@_tmpa_dim
\dim_new:N \l_@@_tmpb_dim
%    \end{macrocode}
% \end{macro}
% \end{macro}
%
% \begin{macro}{\AssertDimEqual}
%   The command \cmd{\AssertDimEqual}\marg{first expression}\marg{second
%   expression} asserts that the two dimension expressions are equal.
%    \begin{macrocode}
\NewDocumentCommand \AssertDimEqual { m m } {
  \@@_assert_equal:nnn { dim } { #1 } { #2 }
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\AssertMathStyle}
%   The command \cmd{\AssertMathStyle}\marg{expression} asserts that the
%   current mathematical style is equal to the value of the integral
%   \meta{expression}.
%    \begin{macrocode}
\NewDocumentCommand \AssertMathStyle { m } {
  \AssertIntEqual { \luatexmathstyle } { #1 }
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\@@_assert_cramped:Nx}
%   The macro \cmd{\@@_assert_cramped:Nn}\meta{predicate}\marg{name} asserts
%   that we are in math mode and that the current style fulfills the
%   \meta{predicate} (identified by the \meta{name}) which must have the
%   argument specification \texttt{n}.
%    \begin{macrocode}
\cs_new_protected_nopar:Npn \@@_assert_cramped:Nx #1 #2 {
  \int_set:Nn \l_@@_tmpa_int { \luatexmathstyle }
  \bool_if:nTF {
    \int_compare_p:nNn { \l_@@_tmpa_int } > { \c_minus_one }
    &&
    #1 { \l_@@_tmpa_int }
  } {
    \@@_pass:x {
      \exp_not:N \luatexmathstyle
      \c_@@_equal_tl
      \int_use:N \l_@@_tmpa_int
      \c_space_tl
      is~ a~ #2~ style
    }
  } {
    \@@_fail:x {
      \exp_not:N \luatexmathstyle
      \c_@@_equal_tl
      \int_use:N \l_@@_tmpa_int
      \c_space_tl
      is~ not~ a~ #2~ style
    }
  }
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\AssertNoncrampedStyle}
%   The command \cmd{\AssertNoncrampedStyle} asserts that the current
%   mathematical style is one of the non-cramped styles.
%    \begin{macrocode}
\NewDocumentCommand \AssertNoncrampedStyle { } {
  \@@_assert_cramped:Nx \int_if_even_p:n { non-cramped }
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\AssertCrampedStyle}
%   The command \cmd{\AssertCrampedStyle} asserts that the current mathematical
%   style is one of the cramped styles.
%    \begin{macrocode}
\NewDocumentCommand \AssertCrampedStyle { } {
  \@@_assert_cramped:Nx \int_if_odd_p:n { cramped }
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\l_@@_tmpa_box}
% \begin{macro}{\l_@@_tmpb_box}
%   Scratch registers for box constructions.
%    \begin{macrocode}
\box_new:N \l_@@_tmpa_box
\box_new:N \l_@@_tmpb_box
%    \end{macrocode}
% \end{macro}
% \end{macro}
%
% \begin{function}{contains_space}
%   The function \func{contains_space}|(head, width)| returns |true| if the
%   node list starting at |head| or any of its sublists contain a glue or kern
%   node of width |width|.  If |width| is |nil|, returns |true| if there is any
%   glue or kern node.  If |width| is the string |"nonzero"|, returns |true| if
%   there is any glue node or kern node of nonzero with.
%   \changes{v1.1}{2012/10/13}{Allow testing for nonzero kern nodes}
%    \begin{macrocode}
\begin{luacode*}
function contains_space(head, width)
  for n in node.traverse(head) do
    local id = n.id
    if id == 10 then  -- glue node
      if width then
        if width == "nonzero" or n.spec.width == width then
          return true
        end
      end
    elseif id == 11 then  -- kern node
      if width then
        if width == "nonzero" then
          if n.kern ~= 0 then
            return true
          end
        elseif n.kern == width then
          return true
        end
      end
    elseif id == 0 or id == 1 then  -- sublist
      if contains_space(n.head, width) then
        return true
      end
    end
  end
  return false
end
\end{luacode*}
%    \end{macrocode}
% \end{function}
%
% \begin{macro}{\AssertNoSpace}
%   The command \cmd{\AssertNoSpace}\marg{text} asserts that the node list that
%   is the result of typesetting \meta{text} contains no glue or kern nodes.
%   When called with a star, the command ignores zero-width kerns.
%   \changes{v0.3c}{2012/08/23}{\pkg{l3kernel} renamed \cs{lua_now:x} to
%   \cs{lua_now_x:n}}
%   \changes{v1.1}{2012/10/13}{Allow testing for nonzero kern nodes}
%    \begin{macrocode}
\NewDocumentCommand \AssertNoSpace { s m } {
  \hbox_set:Nn \l_@@_tmpa_box { #2 }
  \int_if_odd:nTF {
    \lua_now_x:n {
      local~ b = tex.getbox(\int_use:N \l_@@_tmpa_box)
      if~ contains_space(b.head,
          \IfBooleanTF { #1 } { "nonzero" } { nil }) then~
        tex.sprint("0")
      else~
        tex.sprint("1")
      end
    }
  } {
    \@@_pass:x {
      \tl_to_str:n { #2 } ~
      contains~ no~ skip~ or~ kern~ node
    }
  } {
    \@@_fail:x {
      \tl_to_str:n { #2 } ~
      contains~ a~ skip~ or~ kern~ node
    }
  }
}
%    \end{macrocode}
% \end{macro}
%
% \begin{macro}{\AssertMuSpace}
%   The command \cmd{\AssertMuSpace}\marg{text}\marg{muskip} asserts that the
%   node list that is the result of typesetting \meta{text} contains at least
%   one glue or kern node of with \meta{muskip}.
%   \changes{v0.3c}{2012/08/23}{\pkg{l3kernel} renamed \cs{lua_now:x} to
%   \cs{lua_now_x:n}}
%    \begin{macrocode}
\makeatletter
\NewDocumentCommand \AssertMuSpace { m m } {
  \hbox_set:Nn \l_@@_tmpa_box { #1 }
  \hbox_set:Nn \l_@@_tmpb_box { $ \mskip #2 \m@th $ }
  \int_if_odd:nTF {
    \lua_now_x:n {
      local~ b = tex.getbox(\int_use:N \l_@@_tmpa_box)
      local~ s = tex.getbox(\int_use:N \l_@@_tmpb_box)
      if~ contains_space(b.head, s.width) then~
        tex.sprint("1")
      else~
        tex.sprint("0")
      end
    }
  } {
    \@@_pass:x {
      \tl_to_str:n { #1 } ~
      contains~ a~ skip~ or~ kern~ node~ of~ width~
      \tl_to_str:n { #2 }
    }
  } {
    \@@_fail:x {
      \tl_to_str:n { #1 } ~
      contains~ no~ skip~ or~ kern~ node~ of~ width~
      \tl_to_str:n { #2 }
    }
  }
}
\makeatother
\ExplSyntaxOff
%</test>
%    \end{macrocode}
% \end{macro}
%
%
% \subsection{\Hologo{LaTeX2e} kernel, allocation of math families}
%
% \changes{v0.3}{2011/08/07}{Added test file for modified family allocation
% scheme}
% The \hologo{LaTeX2e} kernel itself allocates four families (also known as
% \enquote{math groups} in \hologo{LaTeX} parlance).  Therefore we should still
% be able to allocate 252 families.  We do this alternately with \cmd{\newfam},
% \cmd{\new@mathgroup} and \cmd{\DeclareSymbolFont}.
% \changes{v1.2}{2013/01/13}{Replace removed macro \cs{chk_if_free_cs:N}}
% \changes{v1.2}{2013/01/13}{Track renaming of \cs{int_step_inline:nnnn}}
%    \begin{macrocode}
%<*test-kernel-alloc>
\usepackage{lualatex-math}
\makeatletter
\ExplSyntaxOn
\int_step_inline:nnnn { \c_four } { \c_one } {
  \c_two_hundred_fifty_five - \c_one
} {
  \int_case:nnn { \int_mod:nn { #1 } { \c_three } } {
    { \c_zero } {
      \int_new:N \g_@@_family_int
      \newfam \g_@@_family_int
      \AssertIntEqual { \g_@@_family_int } { #1 }
      \cs_undefine:N \g_@@_family_int
    }
    { \c_one } {
      \int_new:N \g_@@_mathgroup_int
      \new@mathgroup \g_@@_mathgroup_int
      \AssertIntEqual { \g_@@_mathgroup_int } { #1 }
      \cs_undefine:N \g_@@_mathgroup_int
    }
    { \c_two } {
      \DeclareSymbolFont { Test #1 } { OT1 } { cmr } { m } { n }
      \exp_args:Nc \AssertIntEqual { sym Test #1 } { #1 }
    }
  } {
    \@@_fail:x { This~ cannot~ happen }
  }
}
\DeclareSymbolFont { Test 255 } { OT1 } { cmr } { bx } { it }
\DeclareSymbolFontAlphabet { \TestAlphabet } { Test 255 }
\exp_args:Nc \AssertIntEqual { sym Test 255 }
  { \c_two_hundred_fifty_five }
\ExplSyntaxOff
\makeatother
\begin{document}
\[
\TestAlphabet{
  abc
  \AssertIntEqual{\fam}{255}
  \AssertIntEqual{\mathgroup}{255}
}
\]
\end{document}
%</test-kernel-alloc>
%    \end{macrocode}
%
%
% \subsection{\Hologo{LaTeX2e} kernel, \cs{mathstyle} primitive}
%
% Here we only check whether different fractions and other style-changing
% commands result in the correct mathematical style.
%    \begin{macrocode}
%<*test-kernel-style>
\usepackage{lualatex-math}
\begin{document}
\begin{displaymath}
  \AssertMathStyle{0} \sqrt{\AssertMathStyle{1}}
  \frac{\AssertMathStyle{2}}{\AssertMathStyle{3}}
  a^{\frac{\AssertMathStyle{6}}{\AssertMathStyle{7}}}
  \sqrt{\frac{\AssertMathStyle{3}}{\AssertMathStyle{3}}}
  \displaystyle
  \frac{\AssertMathStyle{2}}{\AssertMathStyle{3}}
  \luatexcrampeddisplaystyle
  \frac{\AssertMathStyle{3}}{\AssertMathStyle{3}}
  \textstyle
  \frac{\AssertMathStyle{4}}{\AssertMathStyle{5}}
  \luatexcrampedtextstyle
  \frac{\AssertMathStyle{5}}{\AssertMathStyle{5}}
  \scriptstyle
  \frac{\AssertMathStyle{6}}{\AssertMathStyle{7}}
  \luatexcrampedscriptstyle
  \frac{\AssertMathStyle{7}}{\AssertMathStyle{7}}
\end{displaymath}
\begin{math}
  \AssertMathStyle{2} \sqrt{\AssertMathStyle{3}}
  \frac{\AssertMathStyle{4}}{\AssertMathStyle{5}}
  a^{\frac{\AssertMathStyle{6}}{\AssertMathStyle{7}}}
  \sqrt{\frac{\AssertMathStyle{5}}{\AssertMathStyle{5}}}
  \displaystyle
  \frac{\AssertMathStyle{2}}{\AssertMathStyle{3}}
  \luatexcrampeddisplaystyle
  \frac{\AssertMathStyle{3}}{\AssertMathStyle{3}}
  \textstyle
  \frac{\AssertMathStyle{4}}{\AssertMathStyle{5}}
  \luatexcrampedtextstyle
  \frac{\AssertMathStyle{5}}{\AssertMathStyle{5}}
  \scriptstyle
  \frac{\AssertMathStyle{6}}{\AssertMathStyle{7}}
  \luatexcrampedscriptstyle
  \frac{\AssertMathStyle{7}}{\AssertMathStyle{7}}
\end{math}
\end{document}
%</test-kernel-style>
%    \end{macrocode}
%
%
% \subsection{\pkg{amsmath}, \pkg{amsopn}, and \pkg{mathtools}}
%
% \changes{v1.1}{2012/10/13}{Add fix and unit test for \pkg{amsopn}}
% Since \pkg{mathtools} loads \pkg{amsmath} and \pkg{amsopn} anyway, we test
% all three in one file.
% \begin{macro}{\testbox}
%   First a scratch box register.
%    \begin{macrocode}
%<*test-amsmath>
\usepackage{lualatex-math}
\newsavebox{\testbox}
%    \end{macrocode}
% \end{macro}
% We set the mathematical code for the minus sign to some arbitrary Unicode
% value to test whether the load-time patch works.
%    \begin{macrocode}
\luatexUmathcode`\-="2 "33 "44444 \relax
\usepackage{amsmath}
\AssertIntEqual{\luatexUmathcode`\-}{"33444444}
\makeatletter
\AssertIntEqual{\std@minus}{"33444444}
\makeatother
%    \end{macrocode}
% Check that we can still declare operators.
%    \begin{macrocode}
\DeclareMathOperator{\Operator}{*-/'a-b}
\DeclareMathOperator*{\OperatorWithLimits}{01'*-/}
\DeclareMathOperator{\OperatorWithPunctuation}{a:b*/'-.}
\usepackage{mathtools}
%    \end{macrocode}
% The same for the document begin hook.
%    \begin{macrocode}
\luatexUmathcode`\="5 "66 "77777 \relax
\begin{document}
\AssertIntEqual{\luatexUmathcode`\=}{"66A77777}
\makeatletter
\AssertIntEqual{\std@equal}{"66A77777}
\makeatother
%    \end{macrocode}
% Here we test whether the strut box has the correct height and depth.
%    \begin{macrocode}
\sbox{\testbox}{$($} % )
\makeatletter
\AssertDimEqual{\ht\Mathstrutbox@}{\ht\testbox}
\AssertDimEqual{\dp\Mathstrutbox@}{\dp\testbox}
\makeatother
%    \end{macrocode}
% Here we test for the various \pkg{amsmath} features that have to be patched:
% sub-arrays and various kind of fraction-like objects.  The \cmd{\substack}
% command and \env{subarray} environment aren’t really tested since it is hard
% to check whether the outcome looks right in an automated way.  All tests are
% done in both inline and display mode.
%    \begin{macrocode}
\begin{equation*}
  \AssertMathStyle{0} \sqrt{\AssertMathStyle{1}}
  \sum_{
    \substack{\frac12 \\ \frac34 \\ \frac56}
  }
  \sum_{
    \begin{subarray}{l} \frac12 \\ \frac34 \\ \frac56 \end{subarray}
  }
  \frac{\AssertMathStyle{2}}{\AssertMathStyle{3}}
  a^{\frac{\AssertMathStyle{6}}{\AssertMathStyle{7}}}
  \dfrac{\AssertMathStyle{2}}{\AssertMathStyle{3}}
  \tfrac{\AssertMathStyle{4}}{\AssertMathStyle{5}}
  \binom{\AssertMathStyle{2}}{\AssertMathStyle{3}}
  a^{\binom{\AssertMathStyle{6}}{\AssertMathStyle{7}}}
  \dbinom{\AssertMathStyle{2}}{\AssertMathStyle{3}}
  \tbinom{\AssertMathStyle{4}}{\AssertMathStyle{5}}
  \genfrac{}{}{}{}{\AssertMathStyle{2}}{\AssertMathStyle{3}}
  \genfrac{<}{/}{0pt}{0}{\AssertMathStyle{2}}{\AssertMathStyle{3}}
  \genfrac{}{}{}{1}{\AssertMathStyle{4}}{\AssertMathStyle{5}}
  \genfrac{|}{]}{4pt}{2}{\AssertMathStyle{6}}{\AssertMathStyle{7}}
  \genfrac{}{}{}{3}{\AssertMathStyle{6}}{\AssertMathStyle{7}}
\end{equation*}
\begin{math}
  \AssertMathStyle{2} \sqrt{\AssertMathStyle{3}}
  \sum_{
    \substack{\frac12 \\ \frac34 \\ \frac56}
  }
  \sum_{
    \begin{subarray}{l} \frac12 \\ \frac34 \\ \frac56 \end{subarray}
  }
  \frac{\AssertMathStyle{4}}{\AssertMathStyle{5}}
  a^{\frac{\AssertMathStyle{6}}{\AssertMathStyle{7}}}
  \dfrac{\AssertMathStyle{2}}{\AssertMathStyle{3}}
  \tfrac{\AssertMathStyle{4}}{\AssertMathStyle{5}}
  \binom{\AssertMathStyle{4}}{\AssertMathStyle{5}}
  a^{\binom{\AssertMathStyle{6}}{\AssertMathStyle{7}}}
  \dbinom{\AssertMathStyle{2}}{\AssertMathStyle{3}}
  \tbinom{\AssertMathStyle{4}}{\AssertMathStyle{5}}
  \genfrac{}{}{}{}{\AssertMathStyle{4}}{\AssertMathStyle{5}}
  \genfrac{<}{/}{0pt}{0}{\AssertMathStyle{2}}{\AssertMathStyle{3}}
  \genfrac{}{}{}{1}{\AssertMathStyle{4}}{\AssertMathStyle{5}}
  \genfrac{|}{]}{4pt}{2}{\AssertMathStyle{6}}{\AssertMathStyle{7}}
  \genfrac{}{}{}{3}{\AssertMathStyle{6}}{\AssertMathStyle{7}}
\end{math}
%    \end{macrocode}
% Since \pkg{mathtools}’ \cmd{\cramped} command uses \cmd{\mathchoice}, we
% cannot test for a single mathematical style since all of them are executed;
% instead, we just verify that all styles encountered are cramped.
%    \begin{macrocode}
\begin{equation*}
  \AssertMathStyle{0}
  a^{\AssertMathStyle{4} a}
  \cramped{\AssertCrampedStyle a^{\AssertCrampedStyle a}}
  a^{
    \AssertMathStyle{4}
    a^a
    \cramped{\AssertCrampedStyle a^{\AssertCrampedStyle a}}
    a^a
    \AssertMathStyle{4}
  }
  a^{
    a^{
      \AssertMathStyle{6}
      a^a
      \cramped{\AssertCrampedStyle a^{\AssertCrampedStyle a}}
      a^a
      \AssertMathStyle{6}
    }
  }
  a^{\AssertMathStyle{4} a}
  \AssertMathStyle{0}
\end{equation*}
\begin{math}
  \AssertMathStyle{2}
  a^{\AssertMathStyle{4} a}
  \cramped{\AssertCrampedStyle a^{\AssertCrampedStyle a}}
  a^{
    \AssertMathStyle{4}
    a^a
    \cramped{\AssertCrampedStyle a^{\AssertCrampedStyle a}}
    a^a
    \AssertMathStyle{4}
  }
  a^{
    a^{
      \AssertMathStyle{6}
      a^a
      \cramped{\AssertCrampedStyle a^{\AssertCrampedStyle a}}
      a^a
      \AssertMathStyle{6}
    }
  }
  a^{\AssertMathStyle{4} a}
  \AssertMathStyle{2}
\end{math}
%    \end{macrocode}
% The \pkg{amsopn} package uses |\mathcode| when executing a user-defined
% operator command.  Test that this was patched out.
%    \begin{macrocode}
\AssertNoSpace*{$\Operator$}
\AssertNoSpace*{$\OperatorWithLimits$}
\AssertMuSpace{$\OperatorWithPunctuation$}{\thinmuskip}
\mathcode`\-=45 \relax
\AssertNoSpace*{$\Operator$}
\AssertNoSpace*{$\OperatorWithLimits$}
\AssertMuSpace{$\OperatorWithPunctuation$}{\thinmuskip}
\end{document}
%</test-amsmath>
%    \end{macrocode}
%
%
% \subsection{\pkg{unicode-math}}
%
% This test file loads both \pkg{amsmath} and \pkg{unicode-math}.  The latter
% package contains fixes that somewhat overlap with ours.  We have to take care
% in all packages that no attempt is made to patch a single macro twice.
% Therefore we treat warnings (that occur when trying to patch a macro with an
% unknown meaning) as errors here.  However, the auxiliary package
% \pkg{fontspec-patches} uses \cmd{\RenewDocumentCommand} from the \pkg{xparse}
% package, which generates a warning that we don't want to turn into an error.
% Therefore we treat the offending message \msg{redefine-command} specially.
% \changes{v0.3c}{2012/08/23}{Added special treatment for
% \msg{redefine-command} warning}
%
%    \begin{macrocode}
%<*test-unicode>
\ExplSyntaxOn
\msg_redirect_class:nn { warning } { error }
\msg_redirect_name:nnn { LaTeX } { xparse / redefine-command } { info }
\ExplSyntaxOff
\usepackage{amsmath}
\usepackage{unicode-math}[2011/05/05]
\setmathfont{XITS Math}
\usepackage{lualatex-math}
\begin{document}
\begin{equation*}
  \AssertMathStyle{0} \sqrt{\AssertMathStyle{1}}
  \frac{\AssertMathStyle{2}}{\AssertMathStyle{3}}
  a^{\frac{\AssertMathStyle{6}}{\AssertMathStyle{7}}}
  \dfrac{\AssertMathStyle{2}}{\AssertMathStyle{3}}
  \tfrac{\AssertMathStyle{4}}{\AssertMathStyle{5}}
\end{equation*}
\end{document}
%</test-unicode>
%    \end{macrocode}
%
%
% \subsection{\pkg{icomma} without \pkg{unicode-math}}
%
% \changes{v0.2}{2011/07/03}{Added test file for \pkg{icomma} without
% \pkg{unicode-math}}
% This test file loads only \pkg{icomma} to test whether our patch works for
% Computer Modern.
%
%    \begin{macrocode}
%<*test-icomma>
\usepackage{lualatex-math}
\usepackage{icomma}
\begin{document}
$1,234 \; (x, y)$
\AssertNoSpace{$1,234$}
\AssertMuSpace{$(x, y)$}{\thinmuskip}
\AssertIntEqual{\mathcomma}{"1C0003B}
\end{document}
%</test-icomma>
%    \end{macrocode}
%
%
% \subsection{\pkg{icomma} with \pkg{unicode-math}}
%
% \changes{v0.2}{2011/07/03}{Added test file for \pkg{icomma} with
% \pkg{unicode-math}}
% This test file loads both \pkg{icomma} and \pkg{unicode-math} to test whether
% they interact well.
%
%    \begin{macrocode}
%<*test-icomma-unicode>
\usepackage{unicode-math}[2011/05/05]
\setmathfont{XITS Math}
\usepackage{lualatex-math}
\usepackage{icomma}
\begin{document}
$1,234 \; (x, y)$
\AssertNoSpace{$1,234$}
\AssertMuSpace{$(x, y)$}{\thinmuskip}
\AssertIntEqual{\mathcomma}{"0C0002C}
\end{document}
%</test-icomma-unicode>
%    \end{macrocode}
%
% \Finale
\endinput

% Local Variables:
% mode: doctex
% coding: utf-8-unix
% TeX-engine: luatex
% End: