summaryrefslogtreecommitdiffstats
path: root/generic/regc_nfa.c
blob: e36c5d27767cce1a5dd7b6a8a55a7478e17abb51 (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
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
/*
 * NFA utilities.
 * This file is #included by regcomp.c.
 *
 * Copyright (c) 1998, 1999 Henry Spencer. All rights reserved.
 *
 * Development of this software was funded, in part, by Cray Research Inc.,
 * UUNET Communications Services Inc., Sun Microsystems Inc., and Scriptics
 * Corporation, none of whom are responsible for the results. The author
 * thanks all of them.
 *
 * Redistribution and use in source and binary forms -- with or without
 * modification -- are permitted for any purpose, provided that
 * redistributions in source form retain this entire copyright notice and
 * indicate the origin and nature of any modifications.
 *
 * I'd appreciate being given credit for this package in the documentation of
 * software which uses it, but that is not a requirement.
 *
 * THIS SOFTWARE IS PROVIDED ``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
 * HENRY SPENCER 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.
 *
 * One or two things that technically ought to be in here are actually in
 * color.c, thanks to some incestuous relationships in the color chains.
 */

#define	NISERR()	VISERR(nfa->v)
#define	NERR(e)		VERR(nfa->v, (e))

/*
 - newnfa - set up an NFA
 ^ static struct nfa *newnfa(struct vars *, struct colormap *, struct nfa *);
 */
static struct nfa *		/* the NFA, or NULL */
newnfa(
    struct vars *v,
    struct colormap *cm,
    struct nfa *parent)		/* NULL if primary NFA */
{
    struct nfa *nfa;

    nfa = (struct nfa *) MALLOC(sizeof(struct nfa));
    if (nfa == NULL) {
	return NULL;
    }

    nfa->states = NULL;
    nfa->slast = NULL;
    nfa->free = NULL;
    nfa->nstates = 0;
    nfa->cm = cm;
    nfa->v = v;
    nfa->size = 0;
    nfa->bos[0] = nfa->bos[1] = COLORLESS;
    nfa->eos[0] = nfa->eos[1] = COLORLESS;
    nfa->parent = parent;	/* Precedes newfstate so parent is valid. */
    nfa->post = newfstate(nfa, '@');	/* number 0 */
    nfa->pre = newfstate(nfa, '>');	/* number 1 */

    nfa->init = newstate(nfa);	/* May become invalid later. */
    nfa->final = newstate(nfa);
    if (ISERR()) {
	freenfa(nfa);
	return NULL;
    }
    rainbow(nfa, nfa->cm, PLAIN, COLORLESS, nfa->pre, nfa->init);
    newarc(nfa, '^', 1, nfa->pre, nfa->init);
    newarc(nfa, '^', 0, nfa->pre, nfa->init);
    rainbow(nfa, nfa->cm, PLAIN, COLORLESS, nfa->final, nfa->post);
    newarc(nfa, '$', 1, nfa->final, nfa->post);
    newarc(nfa, '$', 0, nfa->final, nfa->post);

    if (ISERR()) {
	freenfa(nfa);
	return NULL;
    }
    return nfa;
}

/*
 - TooManyStates - checks if the max states exceeds the compile-time value
 ^ static int TooManyStates(struct nfa *);
 */
static int
TooManyStates(
    struct nfa *nfa)
{
    struct nfa *parent = nfa->parent;
    size_t sz = nfa->size;

    while (parent != NULL) {
	sz = parent->size;
	parent = parent->parent;
    }
    if (sz > REG_MAX_STATES) {
	return 1;
    }
    return 0;
}

/*
 - IncrementSize - increases the tracked size of the NFA and its parents.
 ^ static void IncrementSize(struct nfa *);
 */
static void
IncrementSize(
    struct nfa *nfa)
{
    struct nfa *parent = nfa->parent;

    nfa->size++;
    while (parent != NULL) {
	parent->size++;
	parent = parent->parent;
    }
}

/*
 - DecrementSize - increases the tracked size of the NFA and its parents.
 ^ static void DecrementSize(struct nfa *);
 */
static void
DecrementSize(
    struct nfa *nfa)
{
    struct nfa *parent = nfa->parent;

    nfa->size--;
    while (parent != NULL) {
	parent->size--;
	parent = parent->parent;
    }
}

/*
 - freenfa - free an entire NFA
 ^ static void freenfa(struct nfa *);
 */
static void
freenfa(
    struct nfa *nfa)
{
    struct state *s;

    while ((s = nfa->states) != NULL) {
	s->nins = s->nouts = 0;	/* don't worry about arcs */
	freestate(nfa, s);
    }
    while ((s = nfa->free) != NULL) {
	nfa->free = s->next;
	destroystate(nfa, s);
    }

    nfa->slast = NULL;
    nfa->nstates = -1;
    nfa->pre = NULL;
    nfa->post = NULL;
    FREE(nfa);
}

/*
 - newstate - allocate an NFA state, with zero flag value
 ^ static struct state *newstate(struct nfa *);
 */
static struct state *		/* NULL on error */
newstate(
    struct nfa *nfa)
{
    struct state *s;

    if (TooManyStates(nfa)) {
	/* XXX: add specific error for this */
	NERR(REG_ETOOBIG);
	return NULL;
    }
    if (nfa->free != NULL) {
	s = nfa->free;
	nfa->free = s->next;
    } else {
	s = (struct state *) MALLOC(sizeof(struct state));
	if (s == NULL) {
	    NERR(REG_ESPACE);
	    return NULL;
	}
	s->oas.next = NULL;
	s->free = NULL;
	s->noas = 0;
    }

    assert(nfa->nstates >= 0);
    s->no = nfa->nstates++;
    s->flag = 0;
    if (nfa->states == NULL) {
	nfa->states = s;
    }
    s->nins = 0;
    s->ins = NULL;
    s->nouts = 0;
    s->outs = NULL;
    s->tmp = NULL;
    s->next = NULL;
    if (nfa->slast != NULL) {
	assert(nfa->slast->next == NULL);
	nfa->slast->next = s;
    }
    s->prev = nfa->slast;
    nfa->slast = s;

    /*
     * Track the current size and the parent size.
     */

    IncrementSize(nfa);
    return s;
}

/*
 - newfstate - allocate an NFA state with a specified flag value
 ^ static struct state *newfstate(struct nfa *, int flag);
 */
static struct state *		/* NULL on error */
newfstate(
    struct nfa *nfa,
    int flag)
{
    struct state *s;

    s = newstate(nfa);
    if (s != NULL) {
	s->flag = (char) flag;
    }
    return s;
}

/*
 - dropstate - delete a state's inarcs and outarcs and free it
 ^ static void dropstate(struct nfa *, struct state *);
 */
static void
dropstate(
    struct nfa *nfa,
    struct state *s)
{
    struct arc *a;

    while ((a = s->ins) != NULL) {
	freearc(nfa, a);
    }
    while ((a = s->outs) != NULL) {
	freearc(nfa, a);
    }
    freestate(nfa, s);
}

/*
 - freestate - free a state, which has no in-arcs or out-arcs
 ^ static void freestate(struct nfa *, struct state *);
 */
static void
freestate(
    struct nfa *nfa,
    struct state *s)
{
    assert(s != NULL);
    assert(s->nins == 0 && s->nouts == 0);

    s->no = FREESTATE;
    s->flag = 0;
    if (s->next != NULL) {
	s->next->prev = s->prev;
    } else {
	assert(s == nfa->slast);
	nfa->slast = s->prev;
    }
    if (s->prev != NULL) {
	s->prev->next = s->next;
    } else {
	assert(s == nfa->states);
	nfa->states = s->next;
    }
    s->prev = NULL;
    s->next = nfa->free;	/* don't delete it, put it on the free list */
    nfa->free = s;
    DecrementSize(nfa);
}

/*
 - destroystate - really get rid of an already-freed state
 ^ static void destroystate(struct nfa *, struct state *);
 */
static void
destroystate(
    struct nfa *nfa,
    struct state *s)
{
    struct arcbatch *ab;
    struct arcbatch *abnext;

    assert(s->no == FREESTATE);
    for (ab=s->oas.next ; ab!=NULL ; ab=abnext) {
	abnext = ab->next;
	FREE(ab);
    }
    s->ins = NULL;
    s->outs = NULL;
    s->next = NULL;
    FREE(s);
}

/*
 - newarc - set up a new arc within an NFA
 ^ static void newarc(struct nfa *, int, pcolor, struct state *,
 ^	struct state *);
 */
static void
newarc(
    struct nfa *nfa,
    int t,
    pcolor co,
    struct state *from,
    struct state *to)
{
    struct arc *a;

    assert(from != NULL && to != NULL);

    /*
     * Check for duplicates.
     */

    for (a=from->outs ; a!=NULL ; a=a->outchain) {
	if (a->to == to && a->co == co && a->type == t) {
	    return;
	}
    }

    a = allocarc(nfa, from);
    if (NISERR()) {
	return;
    }
    assert(a != NULL);

    a->type = t;
    a->co = (color) co;
    a->to = to;
    a->from = from;

    /*
     * Put the new arc on the beginning, not the end, of the chains. Not only
     * is this easier, it has the very useful side effect that deleting the
     * most-recently-added arc is the cheapest case rather than the most
     * expensive one.
     */

    a->inchain = to->ins;
    to->ins = a;
    a->outchain = from->outs;
    from->outs = a;

    from->nouts++;
    to->nins++;

    if (COLORED(a) && nfa->parent == NULL) {
	colorchain(nfa->cm, a);
    }
}

/*
 - allocarc - allocate a new out-arc within a state
 ^ static struct arc *allocarc(struct nfa *, struct state *);
 */
static struct arc *		/* NULL for failure */
allocarc(
    struct nfa *nfa,
    struct state *s)
{
    struct arc *a;

    /*
     * Shortcut
     */

    if (s->free == NULL && s->noas < ABSIZE) {
	a = &s->oas.a[s->noas];
	s->noas++;
	return a;
    }

    /*
     * if none at hand, get more
     */

    if (s->free == NULL) {
	struct arcbatch *newAb = (struct arcbatch *)
		MALLOC(sizeof(struct arcbatch));
	int i;

	if (newAb == NULL) {
	    NERR(REG_ESPACE);
	    return NULL;
	}
	newAb->next = s->oas.next;
	s->oas.next = newAb;

	for (i=0 ; i<ABSIZE ; i++) {
	    newAb->a[i].type = 0;
	    newAb->a[i].freechain = &newAb->a[i+1];
	}
	newAb->a[ABSIZE-1].freechain = NULL;
	s->free = &newAb->a[0];
    }
    assert(s->free != NULL);

    a = s->free;
    s->free = a->freechain;
    return a;
}

/*
 - freearc - free an arc
 ^ static void freearc(struct nfa *, struct arc *);
 */
static void
freearc(
    struct nfa *nfa,
    struct arc *victim)
{
    struct state *from = victim->from;
    struct state *to = victim->to;
    struct arc *a;

    assert(victim->type != 0);

    /*
     * Take it off color chain if necessary.
     */

    if (COLORED(victim) && nfa->parent == NULL) {
	uncolorchain(nfa->cm, victim);
    }

    /*
     * Take it off source's out-chain.
     */

    assert(from != NULL);
    assert(from->outs != NULL);
    a = from->outs;
    if (a == victim) {		/* simple case: first in chain */
	from->outs = victim->outchain;
    } else {
	for (; a!=NULL && a->outchain!=victim ; a=a->outchain) {
	    continue;
	}
	assert(a != NULL);
	a->outchain = victim->outchain;
    }
    from->nouts--;

    /*
     * Take it off target's in-chain.
     */

    assert(to != NULL);
    assert(to->ins != NULL);
    a = to->ins;
    if (a == victim) {		/* simple case: first in chain */
	to->ins = victim->inchain;
    } else {
	for (; a->inchain!=victim ; a=a->inchain) {
	    assert(a->inchain != NULL);
	    continue;
	}
	a->inchain = victim->inchain;
    }
    to->nins--;

    /*
     * Clean up and place on free list.
     */

    victim->type = 0;
    victim->from = NULL;	/* precautions... */
    victim->to = NULL;
    victim->inchain = NULL;
    victim->outchain = NULL;
    victim->freechain = from->free;
    from->free = victim;
}

/*
 - hasnonemptyout - Does state have a non-EMPTY out arc?
 ^ static int hasnonemptyout(struct state *);
 */
static int
hasnonemptyout(
    struct state *s)
{
    struct arc *a;

    for (a = s->outs; a != NULL; a = a->outchain) {
	if (a->type != EMPTY) {
	    return 1;
	}
    }
    return 0;
}

/*
 - nonemptyouts - count non-EMPTY out arcs of a state
 ^ static int nonemptyouts(struct state *);
 */
static int
nonemptyouts(
    struct state *s)
{
    int n = 0;
    struct arc *a;

    for (a = s->outs; a != NULL; a = a->outchain) {
	if (a->type != EMPTY) {
	    n++;
	}
    }
    return n;
}

/*
 - nonemptyins - count non-EMPTY in arcs of a state
 ^ static int nonemptyins(struct state *);
 */
static int
nonemptyins(
    struct state *s)
{
    int n = 0;
    struct arc *a;

    for (a = s->ins; a != NULL; a = a->inchain) {
	if (a->type != EMPTY) {
	    n++;
	}
    }
    return n;
}

/*
 - findarc - find arc, if any, from given source with given type and color
 * If there is more than one such arc, the result is random.
 ^ static struct arc *findarc(struct state *, int, pcolor);
 */
static struct arc *
findarc(
    struct state *s,
    int type,
    pcolor co)
{
    struct arc *a;

    for (a=s->outs ; a!=NULL ; a=a->outchain) {
	if (a->type == type && a->co == co) {
	    return a;
	}
    }
    return NULL;
}

/*
 - cparc - allocate a new arc within an NFA, copying details from old one
 ^ static void cparc(struct nfa *, struct arc *, struct state *,
 ^ 	struct state *);
 */
static void
cparc(
    struct nfa *nfa,
    struct arc *oa,
    struct state *from,
    struct state *to)
{
    newarc(nfa, oa->type, oa->co, from, to);
}

/*
 - moveins - move all in arcs of a state to another state
 * You might think this could be done better by just updating the
 * existing arcs, and you would be right if it weren't for the desire
 * for duplicate suppression, which makes it easier to just make new
 * ones to exploit the suppression built into newarc.
 ^ static void moveins(struct nfa *, struct state *, struct state *);
 */
static void
moveins(
    struct nfa *nfa,
    struct state *oldState,
    struct state *newState)
{
    struct arc *a;

    assert(oldState != newState);

    while ((a = oldState->ins) != NULL) {
	cparc(nfa, a, a->from, newState);
	freearc(nfa, a);
    }
    assert(oldState->nins == 0);
    assert(oldState->ins == NULL);
}

/*
 - copyins - copy in arcs of a state to another state
 * Either all arcs, or only non-empty ones as determined by all value.
 ^ static void copyins(struct nfa *, struct state *, struct state *, int);
 */
static void
copyins(
    struct nfa *nfa,
    struct state *oldState,
    struct state *newState,
    int all)
{
    struct arc *a;

    assert(oldState != newState);

    for (a=oldState->ins ; a!=NULL ; a=a->inchain) {
	if (all || a->type != EMPTY) {
	    cparc(nfa, a, a->from, newState);
	}
    }
}

/*
 - moveouts - move all out arcs of a state to another state
 ^ static void moveouts(struct nfa *, struct state *, struct state *);
 */
static void
moveouts(
    struct nfa *nfa,
    struct state *oldState,
    struct state *newState)
{
    struct arc *a;

    assert(oldState != newState);

    while ((a = oldState->outs) != NULL) {
	cparc(nfa, a, newState, a->to);
	freearc(nfa, a);
    }
}

/*
 - copyouts - copy out arcs of a state to another state
 * Either all arcs, or only non-empty ones as determined by all value.
 ^ static void copyouts(struct nfa *, struct state *, struct state *, int);
 */
static void
copyouts(
    struct nfa *nfa,
    struct state *oldState,
    struct state *newState,
    int all)
{
    struct arc *a;

    assert(oldState != newState);

    for (a=oldState->outs ; a!=NULL ; a=a->outchain) {
	if (all || a->type != EMPTY) {
	    cparc(nfa, a, newState, a->to);
	}
    }
}

/*
 - cloneouts - copy out arcs of a state to another state pair, modifying type
 ^ static void cloneouts(struct nfa *, struct state *, struct state *,
 ^ 	struct state *, int);
 */
static void
cloneouts(
    struct nfa *nfa,
    struct state *old,
    struct state *from,
    struct state *to,
    int type)
{
    struct arc *a;

    assert(old != from);

    for (a=old->outs ; a!=NULL ; a=a->outchain) {
	newarc(nfa, type, a->co, from, to);
    }
}

/*
 - delsub - delete a sub-NFA, updating subre pointers if necessary
 * This uses a recursive traversal of the sub-NFA, marking already-seen
 * states using their tmp pointer.
 ^ static void delsub(struct nfa *, struct state *, struct state *);
 */
static void
delsub(
    struct nfa *nfa,
    struct state *lp,		/* the sub-NFA goes from here... */
    struct state *rp)		/* ...to here, *not* inclusive */
{
    assert(lp != rp);

    rp->tmp = rp;		/* mark end */

    deltraverse(nfa, lp, lp);
    assert(lp->nouts == 0 && rp->nins == 0);	/* did the job */
    assert(lp->no != FREESTATE && rp->no != FREESTATE);	/* no more */

    rp->tmp = NULL;		/* unmark end */
    lp->tmp = NULL;		/* and begin, marked by deltraverse */
}

/*
 - deltraverse - the recursive heart of delsub
 * This routine's basic job is to destroy all out-arcs of the state.
 ^ static void deltraverse(struct nfa *, struct state *, struct state *);
 */
static void
deltraverse(
    struct nfa *nfa,
    struct state *leftend,
    struct state *s)
{
    struct arc *a;
    struct state *to;

    if (s->nouts == 0) {
	return;			/* nothing to do */
    }
    if (s->tmp != NULL) {
	return;			/* already in progress */
    }

    s->tmp = s;			/* mark as in progress */

    while ((a = s->outs) != NULL) {
	to = a->to;
	deltraverse(nfa, leftend, to);
	assert(to->nouts == 0 || to->tmp != NULL);
	freearc(nfa, a);
	if (to->nins == 0 && to->tmp == NULL) {
	    assert(to->nouts == 0);
	    freestate(nfa, to);
	}
    }

    assert(s->no != FREESTATE);	/* we're still here */
    assert(s == leftend || s->nins != 0);	/* and still reachable */
    assert(s->nouts == 0);	/* but have no outarcs */

    s->tmp = NULL;		/* we're done here */
}

/*
 - dupnfa - duplicate sub-NFA
 * Another recursive traversal, this time using tmp to point to duplicates as
 * well as mark already-seen states. (You knew there was a reason why it's a
 * state pointer, didn't you? :-))
 ^ static void dupnfa(struct nfa *, struct state *, struct state *,
 ^ 	struct state *, struct state *);
 */
static void
dupnfa(
    struct nfa *nfa,
    struct state *start,	/* duplicate of subNFA starting here */
    struct state *stop,		/* and stopping here */
    struct state *from,		/* stringing duplicate from here */
    struct state *to)		/* to here */
{
    if (start == stop) {
	newarc(nfa, EMPTY, 0, from, to);
	return;
    }

    stop->tmp = to;
    duptraverse(nfa, start, from, 0);
    /* done, except for clearing out the tmp pointers */

    stop->tmp = NULL;
    cleartraverse(nfa, start);
}

/*
 - duptraverse - recursive heart of dupnfa
 ^ static void duptraverse(struct nfa *, struct state *, struct state *);
 */
static void
duptraverse(
    struct nfa *nfa,
    struct state *s,
    struct state *stmp,		/* s's duplicate, or NULL */
    int depth)
{
    struct arc *a;

    if (s->tmp != NULL) {
	return;			/* already done */
    }

    s->tmp = (stmp == NULL) ? newstate(nfa) : stmp;
    if (s->tmp == NULL) {
	assert(NISERR());
	return;
    }

    /*
     * Arbitrary depth limit. Needs tuning, but this value is sufficient to
     * make all normal tests (not reg-33.14) pass.
     */
#ifndef DUPTRAVERSE_MAX_DEPTH
#define DUPTRAVERSE_MAX_DEPTH 700
#endif

    if (depth++ > DUPTRAVERSE_MAX_DEPTH) {
	NERR(REG_ESPACE);
    }

    for (a=s->outs ; a!=NULL && !NISERR() ; a=a->outchain) {
	duptraverse(nfa, a->to, NULL, depth);
	if (NISERR()) {
	    break;
	}
	assert(a->to->tmp != NULL);
	cparc(nfa, a, s->tmp, a->to->tmp);
    }
}

/*
 - cleartraverse - recursive cleanup for algorithms that leave tmp ptrs set
 ^ static void cleartraverse(struct nfa *, struct state *);
 */
static void
cleartraverse(
    struct nfa *nfa,
    struct state *s)
{
    struct arc *a;

    if (s->tmp == NULL) {
	return;
    }
    s->tmp = NULL;

    for (a=s->outs ; a!=NULL ; a=a->outchain) {
	cleartraverse(nfa, a->to);
    }
}

/*
 - specialcolors - fill in special colors for an NFA
 ^ static void specialcolors(struct nfa *);
 */
static void
specialcolors(
    struct nfa *nfa)
{
    /*
     * False colors for BOS, BOL, EOS, EOL
     */

    if (nfa->parent == NULL) {
	nfa->bos[0] = pseudocolor(nfa->cm);
	nfa->bos[1] = pseudocolor(nfa->cm);
	nfa->eos[0] = pseudocolor(nfa->cm);
	nfa->eos[1] = pseudocolor(nfa->cm);
    } else {
	assert(nfa->parent->bos[0] != COLORLESS);
	nfa->bos[0] = nfa->parent->bos[0];
	assert(nfa->parent->bos[1] != COLORLESS);
	nfa->bos[1] = nfa->parent->bos[1];
	assert(nfa->parent->eos[0] != COLORLESS);
	nfa->eos[0] = nfa->parent->eos[0];
	assert(nfa->parent->eos[1] != COLORLESS);
	nfa->eos[1] = nfa->parent->eos[1];
    }
}

/*
 - optimize - optimize an NFA
 ^ static long optimize(struct nfa *, FILE *);
 */
static long			/* re_info bits */
optimize(
    struct nfa *nfa,
    FILE *f)			/* for debug output; NULL none */
{
    int verbose = (f != NULL) ? 1 : 0;

    if (verbose) {
	fprintf(f, "\ninitial cleanup:\n");
    }
    cleanup(nfa);		/* may simplify situation */
    if (verbose) {
	dumpnfa(nfa, f);
    }
    if (verbose) {
	fprintf(f, "\nempties:\n");
    }
    fixempties(nfa, f);		/* get rid of EMPTY arcs */
    if (verbose) {
	fprintf(f, "\nconstraints:\n");
    }
    pullback(nfa, f);		/* pull back constraints backward */
    pushfwd(nfa, f);		/* push fwd constraints forward */
    if (verbose) {
	fprintf(f, "\nfinal cleanup:\n");
    }
    cleanup(nfa);		/* final tidying */
    return analyze(nfa);	/* and analysis */
}

/*
 - pullback - pull back constraints backward to (with luck) eliminate them
 ^ static void pullback(struct nfa *, FILE *);
 */
static void
pullback(
    struct nfa *nfa,
    FILE *f)			/* for debug output; NULL none */
{
    struct state *s;
    struct state *nexts;
    struct arc *a;
    struct arc *nexta;
    int progress;

    /*
     * Find and pull until there are no more.
     */

    do {
	progress = 0;
	for (s=nfa->states ; s!=NULL && !NISERR() ; s=nexts) {
	    nexts = s->next;
	    for (a=s->outs ; a!=NULL && !NISERR() ; a=nexta) {
		nexta = a->outchain;
		if (a->type == '^' || a->type == BEHIND) {
		    if (pull(nfa, a)) {
			progress = 1;
		    }
		}
		assert(nexta == NULL || s->no != FREESTATE);
	    }
	}
	if (progress && f != NULL) {
	    dumpnfa(nfa, f);
	}
    } while (progress && !NISERR());
    if (NISERR()) {
	return;
    }

    for (a=nfa->pre->outs ; a!=NULL ; a=nexta) {
	nexta = a->outchain;
	if (a->type == '^') {
	    assert(a->co == 0 || a->co == 1);
	    newarc(nfa, PLAIN, nfa->bos[a->co], a->from, a->to);
	    freearc(nfa, a);
	}
    }
}

/*
 - pull - pull a back constraint backward past its source state
 * A significant property of this function is that it deletes at most
 * one state -- the constraint's from state -- and only if the constraint
 * was that state's last outarc.
 ^ static int pull(struct nfa *, struct arc *);
 */
static int			/* 0 couldn't, 1 could */
pull(
    struct nfa *nfa,
    struct arc *con)
{
    struct state *from = con->from;
    struct state *to = con->to;
    struct arc *a;
    struct arc *nexta;
    struct state *s;

    if (from == to) {		/* circular constraint is pointless */
	freearc(nfa, con);
	return 1;
    }
    if (from->flag) {		/* can't pull back beyond start */
	return 0;
    }
    if (from->nins == 0) {	/* unreachable */
	freearc(nfa, con);
	return 1;
    }

    /*
     * DGP 2007-11-15: Cloning a state with a circular constraint on its list
     * of outs can lead to trouble [Bug 1810038], so get rid of them first.
     */

    for (a = from->outs; a != NULL; a = nexta) {
	nexta = a->outchain;
	switch (a->type) {
	case '^':
	case '$':
	case BEHIND:
	case AHEAD:
	    if (from == a->to) {
		freearc(nfa, a);
	    }
	    break;
	}
    }

    /*
     * First, clone from state if necessary to avoid other outarcs.
     */

    if (from->nouts > 1) {
	s = newstate(nfa);
	if (NISERR()) {
	    return 0;
	}
	assert(to != from);		/* con is not an inarc */
	copyins(nfa, from, s, 1);	/* duplicate inarcs */
	cparc(nfa, con, s, to);		/* move constraint arc */
	freearc(nfa, con);
	from = s;
	con = from->outs;
    }
    assert(from->nouts == 1);

    /*
     * Propagate the constraint into the from state's inarcs.
     */

    for (a=from->ins ; a!=NULL ; a=nexta) {
	nexta = a->inchain;
	switch (combine(con, a)) {
	case INCOMPATIBLE:	/* destroy the arc */
	    freearc(nfa, a);
	    break;
	case SATISFIED:		/* no action needed */
	    break;
	case COMPATIBLE:	/* swap the two arcs, more or less */
	    s = newstate(nfa);
	    if (NISERR()) {
		return 0;
	    }
	    cparc(nfa, a, s, to);	/* anticipate move */
	    cparc(nfa, con, a->from, s);
	    if (NISERR()) {
		return 0;
	    }
	    freearc(nfa, a);
	    break;
	default:
	    assert(NOTREACHED);
	    break;
	}
    }

    /*
     * Remaining inarcs, if any, incorporate the constraint.
     */

    moveins(nfa, from, to);
    dropstate(nfa, from);	/* will free the constraint */
    return 1;
}

/*
 - pushfwd - push forward constraints forward to (with luck) eliminate them
 ^ static void pushfwd(struct nfa *, FILE *);
 */
static void
pushfwd(
    struct nfa *nfa,
    FILE *f)			/* for debug output; NULL none */
{
    struct state *s;
    struct state *nexts;
    struct arc *a;
    struct arc *nexta;
    int progress;

    /*
     * Find and push until there are no more.
     */

    do {
	progress = 0;
	for (s=nfa->states ; s!=NULL && !NISERR() ; s=nexts) {
	    nexts = s->next;
	    for (a = s->ins; a != NULL && !NISERR(); a = nexta) {
		nexta = a->inchain;
		if (a->type == '$' || a->type == AHEAD) {
		    if (push(nfa, a)) {
			progress = 1;
		    }
		}
		assert(nexta == NULL || s->no != FREESTATE);
	    }
	}
	if (progress && f != NULL) {
	    dumpnfa(nfa, f);
	}
    } while (progress && !NISERR());
    if (NISERR()) {
	return;
    }

    for (a = nfa->post->ins; a != NULL; a = nexta) {
	nexta = a->inchain;
	if (a->type == '$') {
	    assert(a->co == 0 || a->co == 1);
	    newarc(nfa, PLAIN, nfa->eos[a->co], a->from, a->to);
	    freearc(nfa, a);
	}
    }
}

/*
 - push - push a forward constraint forward past its destination state
 * A significant property of this function is that it deletes at most
 * one state -- the constraint's to state -- and only if the constraint
 * was that state's last inarc.
 ^ static int push(struct nfa *, struct arc *);
 */
static int			/* 0 couldn't, 1 could */
push(
    struct nfa *nfa,
    struct arc *con)
{
    struct state *from = con->from;
    struct state *to = con->to;
    struct arc *a;
    struct arc *nexta;
    struct state *s;

    if (to == from) {		/* circular constraint is pointless */
	freearc(nfa, con);
	return 1;
    }
    if (to->flag) {		/* can't push forward beyond end */
	return 0;
    }
    if (to->nouts == 0) {	/* dead end */
	freearc(nfa, con);
	return 1;
    }

    /*
     * DGP 2007-11-15: Here we duplicate the same protections as appear
     * in pull() above to avoid troubles with cloning a state with a
     * circular constraint on its list of ins.  It is not clear whether
     * this is necessary, or is protecting against a "can't happen".
     * Any test case that actually leads to a freearc() call here would
     * be a welcome addition to the test suite.
     */

    for (a = to->ins; a != NULL; a = nexta) {
	nexta = a->inchain;
	switch (a->type) {
	case '^':
	case '$':
	case BEHIND:
	case AHEAD:
	    if (a->from == to) {
		freearc(nfa, a);
	    }
	    break;
	}
    }
    /*
     * First, clone to state if necessary to avoid other inarcs.
     */

    if (to->nins > 1) {
	s = newstate(nfa);
	if (NISERR()) {
	    return 0;
	}
	copyouts(nfa, to, s, 1);	/* duplicate outarcs */
	cparc(nfa, con, from, s);	/* move constraint */
	freearc(nfa, con);
	to = s;
	con = to->ins;
    }
    assert(to->nins == 1);

    /*
     * Propagate the constraint into the to state's outarcs.
     */

    for (a = to->outs; a != NULL; a = nexta) {
	nexta = a->outchain;
	switch (combine(con, a)) {
	case INCOMPATIBLE:	/* destroy the arc */
	    freearc(nfa, a);
	    break;
	case SATISFIED:		/* no action needed */
	    break;
	case COMPATIBLE:	/* swap the two arcs, more or less */
	    s = newstate(nfa);
	    if (NISERR()) {
		return 0;
	    }
	    cparc(nfa, con, s, a->to);	/* anticipate move */
	    cparc(nfa, a, from, s);
	    if (NISERR()) {
		return 0;
	    }
	    freearc(nfa, a);
	    break;
	default:
	    assert(NOTREACHED);
	    break;
	}
    }

    /*
     * Remaining outarcs, if any, incorporate the constraint.
     */

    moveouts(nfa, to, from);
    dropstate(nfa, to);		/* will free the constraint */
    return 1;
}

/*
 - combine - constraint lands on an arc, what happens?
 ^ #def	INCOMPATIBLE	1	// destroys arc
 ^ #def	SATISFIED	2	// constraint satisfied
 ^ #def	COMPATIBLE	3	// compatible but not satisfied yet
 ^ static int combine(struct arc *, struct arc *);
 */
static int
combine(
    struct arc *con,
    struct arc *a)
{
#define CA(ct,at)	(((ct)<<CHAR_BIT) | (at))

    switch (CA(con->type, a->type)) {
    case CA('^', PLAIN):	/* newlines are handled separately */
    case CA('$', PLAIN):
	return INCOMPATIBLE;
	break;
    case CA(AHEAD, PLAIN):	/* color constraints meet colors */
    case CA(BEHIND, PLAIN):
	if (con->co == a->co) {
	    return SATISFIED;
	}
	return INCOMPATIBLE;
	break;
    case CA('^', '^'):		/* collision, similar constraints */
    case CA('$', '$'):
    case CA(AHEAD, AHEAD):
    case CA(BEHIND, BEHIND):
	if (con->co == a->co) {	/* true duplication */
	    return SATISFIED;
	}
	return INCOMPATIBLE;
	break;
    case CA('^', BEHIND):	/* collision, dissimilar constraints */
    case CA(BEHIND, '^'):
    case CA('$', AHEAD):
    case CA(AHEAD, '$'):
	return INCOMPATIBLE;
	break;
    case CA('^', '$'):		/* constraints passing each other */
    case CA('^', AHEAD):
    case CA(BEHIND, '$'):
    case CA(BEHIND, AHEAD):
    case CA('$', '^'):
    case CA('$', BEHIND):
    case CA(AHEAD, '^'):
    case CA(AHEAD, BEHIND):
    case CA('^', LACON):
    case CA(BEHIND, LACON):
    case CA('$', LACON):
    case CA(AHEAD, LACON):
	return COMPATIBLE;
	break;
    }
    assert(NOTREACHED);
    return INCOMPATIBLE;	/* for benefit of blind compilers */
}

/*
 - fixempties - get rid of EMPTY arcs
 ^ static void fixempties(struct nfa *, FILE *);
 */
static void
fixempties(
    struct nfa *nfa,
    FILE *f)			/* for debug output; NULL none */
{
    struct state *s;
    struct state *s2;
    struct state *nexts;
    struct arc *a;
    struct arc *nexta;

    /*
     * First, get rid of any states whose sole out-arc is an EMPTY,
     * since they're basically just aliases for their successor.  The
     * parsing algorithm creates enough of these that it's worth
     * special-casing this.
     */
    for (s = nfa->states; s != NULL && !NISERR(); s = nexts) {
	nexts = s->next;
	if (s->flag || s->nouts != 1) {
	    continue;
	}
	a = s->outs;
	assert(a != NULL && a->outchain == NULL);
	if (a->type != EMPTY) {
	    continue;
	}
	if (s != a->to) {
	    moveins(nfa, s, a->to);
	}
	dropstate(nfa, s);
    }

    /*
     * Similarly, get rid of any state with a single EMPTY in-arc, by
     * folding it into its predecessor.
     */
    for (s = nfa->states; s != NULL && !NISERR(); s = nexts) {
	nexts = s->next;
	/* Ensure tmp fields are clear for next step */
	assert(s->tmp = NULL);
	if (s->flag || s->nins != 1) {
	    continue;
	}
	a = s->ins;
	assert(a != NULL && a->inchain == NULL);
	if (a->type != EMPTY) {
	    continue;
	}
	if (s != a->from) {
	    moveouts(nfa, s, a->from);
	}
	dropstate(nfa, s);
    }

    /*
     * For each remaining NFA state, find all other states that are
     * reachable from it by a chain of one or more EMPTY arcs.  Then
     * generate new arcs that eliminate the need for each such chain.
     *
     * If we just do this straightforwardly, the algorithm gets slow in
     * complex graphs, because the same arcs get copied to all
     * intermediate states of an EMPTY chain, and then uselessly pushed
     * repeatedly to the chain's final state; we waste a lot of time in
     * newarc's duplicate checking.  To improve matters, we decree that
     * any state with only EMPTY out-arcs is "doomed" and will not be
     * part of the final NFA. That can be ensured by not adding any new
     * out-arcs to such a state. Having ensured that, we need not update
     * the state's in-arcs list either; all arcs that might have gotten
     * pushed forward to it will just get pushed directly to successor
     * states.  This eliminates most of the useless duplicate arcs.
     */
    for (s = nfa->states; s != NULL && !NISERR(); s = s->next) {
	for (s2 = emptyreachable(s, s); s2 != s && !NISERR();
		s2 = nexts) {
	    /*
	     * If s2 is doomed, we decide that (1) we will always push
	     * arcs forward to it, not pull them back to s; and (2) we
	     * can optimize away the push-forward, per comment above.
	     * So do nothing.
	     */
	    if (s2->flag || hasnonemptyout(s2)) {
		replaceempty(nfa, s, s2);
	    }

	    /* Reset the tmp fields as we walk back */
	    nexts = s2->tmp;
	    s2->tmp = NULL;
	}
	s->tmp = NULL;
    }
    if (NISERR()) {
	return;
    }

    /*
     * Remove all the EMPTY arcs, since we don't need them anymore.
     */
    for (s = nfa->states; s != NULL; s = s->next) {
	for (a = s->outs; a != NULL; a = nexta) {
	    nexta = a->outchain;
	    if (a->type == EMPTY) {
		freearc(nfa, a);
	    }
	}
    }

    /*
     * And remove any states that have become useless.  (This cleanup is
     * not very thorough, and would be even less so if we tried to
     * combine it with the previous step; but cleanup() will take care
     * of anything we miss.)
     */
    for (s = nfa->states; s != NULL; s = nexts) {
	nexts = s->next;
	if ((s->nins == 0 || s->nouts == 0) && !s->flag) {
	    dropstate(nfa, s);
	}
    }

    if (f != NULL) {
	dumpnfa(nfa, f);
    }
}

/*
 - emptyreachable - recursively find all states reachable from s by EMPTY arcs
 * The return value is the last such state found.  Its tmp field links back
 * to the next-to-last such state, and so on back to s, so that all these
 * states can be located without searching the whole NFA.
 * The maximum recursion depth here is equal to the length of the longest
 * loop-free chain of EMPTY arcs, which is surely no more than the size of
 * the NFA, and in practice will be a lot less than that.
 ^ static struct state *emptyreachable(struct state *, struct state *);
 */
static struct state *
emptyreachable(
    struct state *s,
    struct state *lastfound)
{
    struct arc *a;

    s->tmp = lastfound;
    lastfound = s;
    for (a = s->outs; a != NULL; a = a->outchain) {
	if (a->type == EMPTY && a->to->tmp == NULL) {
	    lastfound = emptyreachable(a->to, lastfound);
	}
    }
    return lastfound;
}

/*
 - replaceempty - replace an EMPTY arc chain with some non-empty arcs
 * The EMPTY arc(s) should be deleted later, but we can't do it here because
 * they may still be needed to identify other arc chains during fixempties().
 ^ static void replaceempty(struct nfa *, struct state *, struct state *);
 */
static void
replaceempty(
    struct nfa *nfa,
    struct state *from,
    struct state *to)
{
    int fromouts;
    int toins;

    assert(from != to);

    /*
     * Create replacement arcs that bypass the need for the EMPTY chain.  We
     * can do this either by pushing arcs forward (linking directly from
     * "from"'s predecessors to "to") or by pulling them back (linking
     * directly from "from" to "to"'s successors).  In general, we choose
     * whichever way creates greater fan-out or fan-in, so as to improve the
     * odds of reducing the other state to zero in-arcs or out-arcs and
     * thereby being able to delete it.  However, if "from" is doomed (has no
     * non-EMPTY out-arcs), we must keep it so, so always push forward in that
     * case.
     *
     * The fan-out/fan-in comparison should count only non-EMPTY arcs.  If
     * "from" is doomed, we can skip counting "to"'s arcs, since we want to
     * force taking the copynonemptyins path in that case.
     */
    fromouts = nonemptyouts(from);
    toins = (fromouts == 0) ? 1 : nonemptyins(to);

    if (fromouts > toins) {
	copyouts(nfa, to, from, 0);
	return;
    }
    if (fromouts < toins) {
	copyins(nfa, from, to, 0);
	return;
    }

    /*
     * fromouts == toins.  Decide on secondary issue: copy fewest arcs.
     *
     * Doesn't seem to be worth the trouble to exclude empties from these
     * comparisons; that takes extra time and doesn't seem to improve the
     * resulting graph much.
     */
    if (from->nins > to->nouts) {
	copyouts(nfa, to, from, 0);
	return;
    }

    copyins(nfa, from, to, 0);
}

/*
 - cleanup - clean up NFA after optimizations
 ^ static void cleanup(struct nfa *);
 */
static void
cleanup(
    struct nfa *nfa)
{
    struct state *s;
    struct state *nexts;
    int n;

    /*
     * Clear out unreachable or dead-end states. Use pre to mark reachable,
     * then post to mark can-reach-post.
     */

    markreachable(nfa, nfa->pre, NULL, nfa->pre);
    markcanreach(nfa, nfa->post, nfa->pre, nfa->post);
    for (s = nfa->states; s != NULL; s = nexts) {
	nexts = s->next;
	if (s->tmp != nfa->post && !s->flag) {
	    dropstate(nfa, s);
	}
    }
    assert(nfa->post->nins == 0 || nfa->post->tmp == nfa->post);
    cleartraverse(nfa, nfa->pre);
    assert(nfa->post->nins == 0 || nfa->post->tmp == NULL);
    /* the nins==0 (final unreachable) case will be caught later */

    /*
     * Renumber surviving states.
     */

    n = 0;
    for (s = nfa->states; s != NULL; s = s->next) {
	s->no = n++;
    }
    nfa->nstates = n;
}

/*
 - markreachable - recursive marking of reachable states
 ^ static void markreachable(struct nfa *, struct state *, struct state *,
 ^ 	struct state *);
 */
static void
markreachable(
    struct nfa *nfa,
    struct state *s,
    struct state *okay,		/* consider only states with this mark */
    struct state *mark)		/* the value to mark with */
{
    struct arc *a;

    if (s->tmp != okay) {
	return;
    }
    s->tmp = mark;

    for (a = s->outs; a != NULL; a = a->outchain) {
	markreachable(nfa, a->to, okay, mark);
    }
}

/*
 - markcanreach - recursive marking of states which can reach here
 ^ static void markcanreach(struct nfa *, struct state *, struct state *,
 ^ 	struct state *);
 */
static void
markcanreach(
    struct nfa *nfa,
    struct state *s,
    struct state *okay,		/* consider only states with this mark */
    struct state *mark)		/* the value to mark with */
{
    struct arc *a;

    if (s->tmp != okay) {
	return;
    }
    s->tmp = mark;

    for (a = s->ins; a != NULL; a = a->inchain) {
	markcanreach(nfa, a->from, okay, mark);
    }
}

/*
 - analyze - ascertain potentially-useful facts about an optimized NFA
 ^ static long analyze(struct nfa *);
 */
static long			/* re_info bits to be ORed in */
analyze(
    struct nfa *nfa)
{
    struct arc *a;
    struct arc *aa;

    if (nfa->pre->outs == NULL) {
	return REG_UIMPOSSIBLE;
    }
    for (a = nfa->pre->outs; a != NULL; a = a->outchain) {
	for (aa = a->to->outs; aa != NULL; aa = aa->outchain) {
	    if (aa->to == nfa->post) {
		return REG_UEMPTYMATCH;
	    }
	}
    }
    return 0;
}

/*
 - compact - compact an NFA
 ^ static void compact(struct nfa *, struct cnfa *);
 */
static void
compact(
    struct nfa *nfa,
    struct cnfa *cnfa)
{
    struct state *s;
    struct arc *a;
    size_t nstates;
    size_t narcs;
    struct carc *ca;
    struct carc *first;

    assert(!NISERR());

    nstates = 0;
    narcs = 0;
    for (s = nfa->states; s != NULL; s = s->next) {
	nstates++;
	narcs += 1 + s->nouts + 1;
	/* 1 as a fake for flags, nouts for arcs, 1 as endmarker */
    }

    cnfa->states = (struct carc **) MALLOC(nstates * sizeof(struct carc *));
    cnfa->arcs = (struct carc *) MALLOC(narcs * sizeof(struct carc));
    if (cnfa->states == NULL || cnfa->arcs == NULL) {
	if (cnfa->states != NULL) {
	    FREE(cnfa->states);
	}
	if (cnfa->arcs != NULL) {
	    FREE(cnfa->arcs);
	}
	NERR(REG_ESPACE);
	return;
    }
    cnfa->nstates = nstates;
    cnfa->pre = nfa->pre->no;
    cnfa->post = nfa->post->no;
    cnfa->bos[0] = nfa->bos[0];
    cnfa->bos[1] = nfa->bos[1];
    cnfa->eos[0] = nfa->eos[0];
    cnfa->eos[1] = nfa->eos[1];
    cnfa->ncolors = maxcolor(nfa->cm) + 1;
    cnfa->flags = 0;

    ca = cnfa->arcs;
    for (s = nfa->states; s != NULL; s = s->next) {
	assert((size_t) s->no < nstates);
	cnfa->states[s->no] = ca;
	ca->co = 0;		/* clear and skip flags "arc" */
	ca++;
	first = ca;
	for (a = s->outs; a != NULL; a = a->outchain) {
	    switch (a->type) {
	    case PLAIN:
		ca->co = a->co;
		ca->to = a->to->no;
		ca++;
		break;
	    case LACON:
		assert(s->no != cnfa->pre);
		ca->co = (color) (cnfa->ncolors + a->co);
		ca->to = a->to->no;
		ca++;
		cnfa->flags |= HASLACONS;
		break;
	    default:
		assert(NOTREACHED);
		break;
	    }
	}
	carcsort(first, ca-1);
	ca->co = COLORLESS;
	ca->to = 0;
	ca++;
    }
    assert(ca == &cnfa->arcs[narcs]);
    assert(cnfa->nstates != 0);

    /*
     * Mark no-progress states.
     */

    for (a = nfa->pre->outs; a != NULL; a = a->outchain) {
	cnfa->states[a->to->no]->co = 1;
    }
    cnfa->states[nfa->pre->no]->co = 1;
}

/*
 - carcsort - sort compacted-NFA arcs by color
 * Really dumb algorithm, but if the list is long enough for that to matter,
 * you're in real trouble anyway.
 ^ static void carcsort(struct carc *, struct carc *);
 */
static void
carcsort(
    struct carc *first,
    struct carc *last)
{
    struct carc *p;
    struct carc *q;
    struct carc tmp;

    if (last - first <= 1) {
	return;
    }

    for (p = first; p <= last; p++) {
	for (q = p; q <= last; q++) {
	    if (p->co > q->co || (p->co == q->co && p->to > q->to)) {
		assert(p != q);
		tmp = *p;
		*p = *q;
		*q = tmp;
	    }
	}
    }
}

/*
 - freecnfa - free a compacted NFA
 ^ static void freecnfa(struct cnfa *);
 */
static void
freecnfa(
    struct cnfa *cnfa)
{
    assert(cnfa->nstates != 0);	/* not empty already */
    cnfa->nstates = 0;
    FREE(cnfa->states);
    FREE(cnfa->arcs);
}

/*
 - dumpnfa - dump an NFA in human-readable form
 ^ static void dumpnfa(struct nfa *, FILE *);
 */
static void
dumpnfa(
    struct nfa *nfa,
    FILE *f)
{
#ifdef REG_DEBUG
    struct state *s;

    fprintf(f, "pre %d, post %d", nfa->pre->no, nfa->post->no);
    if (nfa->bos[0] != COLORLESS) {
	fprintf(f, ", bos [%ld]", (long) nfa->bos[0]);
    }
    if (nfa->bos[1] != COLORLESS) {
	fprintf(f, ", bol [%ld]", (long) nfa->bos[1]);
    }
    if (nfa->eos[0] != COLORLESS) {
	fprintf(f, ", eos [%ld]", (long) nfa->eos[0]);
    }
    if (nfa->eos[1] != COLORLESS) {
	fprintf(f, ", eol [%ld]", (long) nfa->eos[1]);
    }
    fprintf(f, "\n");
    for (s = nfa->states; s != NULL; s = s->next) {
	dumpstate(s, f);
    }
    if (nfa->parent == NULL) {
	dumpcolors(nfa->cm, f);
    }
    fflush(f);
#endif
}

#ifdef REG_DEBUG		/* subordinates of dumpnfa */
/*
 ^ #ifdef REG_DEBUG
 */

/*
 - dumpstate - dump an NFA state in human-readable form
 ^ static void dumpstate(struct state *, FILE *);
 */
static void
dumpstate(
    struct state *s,
    FILE *f)
{
    struct arc *a;

    fprintf(f, "%d%s%c", s->no, (s->tmp != NULL) ? "T" : "",
	    (s->flag) ? s->flag : '.');
    if (s->prev != NULL && s->prev->next != s) {
	fprintf(f, "\tstate chain bad\n");
    }
    if (s->nouts == 0) {
	fprintf(f, "\tno out arcs\n");
    } else {
	dumparcs(s, f);
    }
    fflush(f);
    for (a = s->ins; a != NULL; a = a->inchain) {
	if (a->to != s) {
	    fprintf(f, "\tlink from %d to %d on %d's in-chain\n",
		    a->from->no, a->to->no, s->no);
	}
    }
}

/*
 - dumparcs - dump out-arcs in human-readable form
 ^ static void dumparcs(struct state *, FILE *);
 */
static void
dumparcs(
    struct state *s,
    FILE *f)
{
    int pos;

    assert(s->nouts > 0);
    /* printing arcs in reverse order is usually clearer */
    pos = dumprarcs(s->outs, s, f, 1);
    if (pos != 1) {
	fprintf(f, "\n");
    }
}

/*
 - dumprarcs - dump remaining outarcs, recursively, in reverse order
 ^ static int dumprarcs(struct arc *, struct state *, FILE *, int);
 */
static int			/* resulting print position */
dumprarcs(
    struct arc *a,
    struct state *s,
    FILE *f,
    int pos)			/* initial print position */
{
    if (a->outchain != NULL) {
	pos = dumprarcs(a->outchain, s, f, pos);
    }
    dumparc(a, s, f);
    if (pos == 5) {
	fprintf(f, "\n");
	pos = 1;
    } else {
	pos++;
    }
    return pos;
}

/*
 - dumparc - dump one outarc in readable form, including prefixing tab
 ^ static void dumparc(struct arc *, struct state *, FILE *);
 */
static void
dumparc(
    struct arc *a,
    struct state *s,
    FILE *f)
{
    struct arc *aa;
    struct arcbatch *ab;

    fprintf(f, "\t");
    switch (a->type) {
    case PLAIN:
	fprintf(f, "[%ld]", (long) a->co);
	break;
    case AHEAD:
	fprintf(f, ">%ld>", (long) a->co);
	break;
    case BEHIND:
	fprintf(f, "<%ld<", (long) a->co);
	break;
    case LACON:
	fprintf(f, ":%ld:", (long) a->co);
	break;
    case '^':
    case '$':
	fprintf(f, "%c%d", a->type, (int) a->co);
	break;
    case EMPTY:
	break;
    default:
	fprintf(f, "0x%x/0%lo", a->type, (long) a->co);
	break;
    }
    if (a->from != s) {
	fprintf(f, "?%d?", a->from->no);
    }
    for (ab = &a->from->oas; ab != NULL; ab = ab->next) {
	for (aa = &ab->a[0]; aa < &ab->a[ABSIZE]; aa++) {
	    if (aa == a) {
		break;		/* NOTE BREAK OUT */
	    }
	}
	if (aa < &ab->a[ABSIZE]) {	/* propagate break */
	    break;		/* NOTE BREAK OUT */
	}
    }
    if (ab == NULL) {
	fprintf(f, "?!?");	/* not in allocated space */
    }
    fprintf(f, "->");
    if (a->to == NULL) {
	fprintf(f, "NULL");
	return;
    }
    fprintf(f, "%d", a->to->no);
    for (aa = a->to->ins; aa != NULL; aa = aa->inchain) {
	if (aa == a) {
	    break;		/* NOTE BREAK OUT */
	}
    }
    if (aa == NULL) {
	fprintf(f, "?!?");	/* missing from in-chain */
    }
}

/*
 ^ #endif
 */
#endif				/* ifdef REG_DEBUG */

/*
 - dumpcnfa - dump a compacted NFA in human-readable form
 ^ static void dumpcnfa(struct cnfa *, FILE *);
 */
static void
dumpcnfa(
    struct cnfa *cnfa,
    FILE *f)
{
#ifdef REG_DEBUG
    int st;

    fprintf(f, "pre %d, post %d", cnfa->pre, cnfa->post);
    if (cnfa->bos[0] != COLORLESS) {
	fprintf(f, ", bos [%ld]", (long) cnfa->bos[0]);
    }
    if (cnfa->bos[1] != COLORLESS) {
	fprintf(f, ", bol [%ld]", (long) cnfa->bos[1]);
    }
    if (cnfa->eos[0] != COLORLESS) {
	fprintf(f, ", eos [%ld]", (long) cnfa->eos[0]);
    }
    if (cnfa->eos[1] != COLORLESS) {
	fprintf(f, ", eol [%ld]", (long) cnfa->eos[1]);
    }
    if (cnfa->flags&HASLACONS) {
	fprintf(f, ", haslacons");
    }
    fprintf(f, "\n");
    for (st = 0; st < cnfa->nstates; st++) {
	dumpcstate(st, cnfa->states[st], cnfa, f);
    }
    fflush(f);
#endif
}

#ifdef REG_DEBUG		/* subordinates of dumpcnfa */
/*
 ^ #ifdef REG_DEBUG
 */

/*
 - dumpcstate - dump a compacted-NFA state in human-readable form
 ^ static void dumpcstate(int, struct carc *, struct cnfa *, FILE *);
 */
static void
dumpcstate(
    int st,
    struct carc *ca,
    struct cnfa *cnfa,
    FILE *f)
{
    int i;
    int pos;

    fprintf(f, "%d%s", st, (ca[0].co) ? ":" : ".");
    pos = 1;
    for (i = 1; ca[i].co != COLORLESS; i++) {
	if (ca[i].co < cnfa->ncolors) {
	    fprintf(f, "\t[%ld]->%d", (long) ca[i].co, ca[i].to);
	} else {
	    fprintf(f, "\t:%ld:->%d", (long) ca[i].co-cnfa->ncolors,ca[i].to);
	}
	if (pos == 5) {
	    fprintf(f, "\n");
	    pos = 1;
	} else {
	    pos++;
	}
    }
    if (i == 1 || pos != 1) {
	fprintf(f, "\n");
    }
    fflush(f);
}

/*
 ^ #endif
 */
#endif				/* ifdef REG_DEBUG */

/*
 * Local Variables:
 * mode: c
 * c-basic-offset: 4
 * fill-column: 78
 * End:
 */