summaryrefslogtreecommitdiff
path: root/regcomp_invlist.c
blob: 9ea3f431817dd5c61fd944477ecc6a2848d49229 (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
#ifdef PERL_EXT_RE_BUILD
#include "re_top.h"
#endif

#include "EXTERN.h"
#define PERL_IN_REGEX_ENGINE
#define PERL_IN_REGCOMP_ANY
#define PERL_IN_REGCOMP_INVLIST_C
#include "perl.h"

#ifdef PERL_IN_XSUB_RE
#  include "re_comp.h"
#else
#  include "regcomp.h"
#endif

#include "invlist_inline.h"
#include "unicode_constants.h"
#include "regcomp_internal.h"


void
Perl_populate_bitmap_from_invlist(pTHX_ SV * invlist, const UV offset, const U8 * bitmap, const Size_t len)
{
    PERL_ARGS_ASSERT_POPULATE_BITMAP_FROM_INVLIST;

    /* As the name says.  The zeroth bit corresponds to the code point given by
     * 'offset' */

    UV start, end;

    Zero(bitmap, len, U8);

    invlist_iterinit(invlist);
    while (invlist_iternext(invlist, &start, &end)) {
        assert(start >= offset);

        for (UV i = start; i <= end; i++) {
            UV adjusted = i - offset;

            BITMAP_BYTE(bitmap, adjusted) |= BITMAP_BIT(adjusted);
        }
    }
    invlist_iterfinish(invlist);
}

void
Perl_populate_invlist_from_bitmap(pTHX_ const U8 * bitmap, const Size_t bitmap_len, SV ** invlist, const UV offset)
{
    PERL_ARGS_ASSERT_POPULATE_INVLIST_FROM_BITMAP;

    /* As the name says.  The zeroth bit corresponds to the code point given by
     * 'offset' */

    Size_t i;

    for (i = 0; i < bitmap_len; i++) {
        if (BITMAP_TEST(bitmap, i)) {
            int start = i++;

            /* Save a little work by adding a range all at once instead of bit
             * by bit */
            while (i < bitmap_len && BITMAP_TEST(bitmap, i)) {
                i++;
            }

            *invlist = _add_range_to_invlist(*invlist,
                                             start + offset,
                                             i + offset - 1);
        }
    }
}

/* This section of code defines the inversion list object and its methods.  The
 * interfaces are highly subject to change, so as much as possible is static to
 * this file.  An inversion list is here implemented as a malloc'd C UV array
 * as an SVt_INVLIST scalar.
 *
 * An inversion list for Unicode is an array of code points, sorted by ordinal
 * number.  Each element gives the code point that begins a range that extends
 * up-to but not including the code point given by the next element.  The final
 * element gives the first code point of a range that extends to the platform's
 * infinity.  The even-numbered elements (invlist[0], invlist[2], invlist[4],
 * ...) give ranges whose code points are all in the inversion list.  We say
 * that those ranges are in the set.  The odd-numbered elements give ranges
 * whose code points are not in the inversion list, and hence not in the set.
 * Thus, element [0] is the first code point in the list.  Element [1]
 * is the first code point beyond that not in the list; and element [2] is the
 * first code point beyond that that is in the list.  In other words, the first
 * range is invlist[0]..(invlist[1]-1), and all code points in that range are
 * in the inversion list.  The second range is invlist[1]..(invlist[2]-1), and
 * all code points in that range are not in the inversion list.  The third
 * range invlist[2]..(invlist[3]-1) gives code points that are in the inversion
 * list, and so forth.  Thus every element whose index is divisible by two
 * gives the beginning of a range that is in the list, and every element whose
 * index is not divisible by two gives the beginning of a range not in the
 * list.  If the final element's index is divisible by two, the inversion list
 * extends to the platform's infinity; otherwise the highest code point in the
 * inversion list is the contents of that element minus 1.
 *
 * A range that contains just a single code point N will look like
 *  invlist[i]   == N
 *  invlist[i+1] == N+1
 *
 * If N is UV_MAX (the highest representable code point on the machine), N+1 is
 * impossible to represent, so element [i+1] is omitted.  The single element
 * inversion list
 *  invlist[0] == UV_MAX
 * contains just UV_MAX, but is interpreted as matching to infinity.
 *
 * Taking the complement (inverting) an inversion list is quite simple, if the
 * first element is 0, remove it; otherwise add a 0 element at the beginning.
 * This implementation reserves an element at the beginning of each inversion
 * list to always contain 0; there is an additional flag in the header which
 * indicates if the list begins at the 0, or is offset to begin at the next
 * element.  This means that the inversion list can be inverted without any
 * copying; just flip the flag.
 *
 * More about inversion lists can be found in "Unicode Demystified"
 * Chapter 13 by Richard Gillam, published by Addison-Wesley.
 *
 * The inversion list data structure is currently implemented as an SV pointing
 * to an array of UVs that the SV thinks are bytes.  This allows us to have an
 * array of UV whose memory management is automatically handled by the existing
 * facilities for SV's.
 *
 * Some of the methods should always be private to the implementation, and some
 * should eventually be made public */

/* The header definitions are in F<invlist_inline.h> */

#ifndef PERL_IN_XSUB_RE

PERL_STATIC_INLINE UV*
S__invlist_array_init(SV* const invlist, const bool will_have_0)
{
    /* Returns a pointer to the first element in the inversion list's array.
     * This is called upon initialization of an inversion list.  Where the
     * array begins depends on whether the list has the code point U+0000 in it
     * or not.  The other parameter tells it whether the code that follows this
     * call is about to put a 0 in the inversion list or not.  The first
     * element is either the element reserved for 0, if TRUE, or the element
     * after it, if FALSE */

    bool* offset = get_invlist_offset_addr(invlist);
    UV* zero_addr = (UV *) SvPVX(invlist);

    PERL_ARGS_ASSERT__INVLIST_ARRAY_INIT;

    /* Must be empty */
    assert(! _invlist_len(invlist));

    *zero_addr = 0;

    /* 1^1 = 0; 1^0 = 1 */
    *offset = 1 ^ will_have_0;
    return zero_addr + *offset;
}

STATIC void
S_invlist_replace_list_destroys_src(pTHX_ SV * dest, SV * src)
{
    /* Replaces the inversion list in 'dest' with the one from 'src'.  It
     * steals the list from 'src', so 'src' is made to have a NULL list.  This
     * is similar to what SvSetMagicSV() would do, if it were implemented on
     * inversion lists, though this routine avoids a copy */

    const UV src_len          = _invlist_len(src);
    const bool src_offset     = *get_invlist_offset_addr(src);
    const STRLEN src_byte_len = SvLEN(src);
    char * array              = SvPVX(src);

#ifndef NO_TAINT_SUPPORT
    const int oldtainted = TAINT_get;
#endif

    PERL_ARGS_ASSERT_INVLIST_REPLACE_LIST_DESTROYS_SRC;

    assert(is_invlist(src));
    assert(is_invlist(dest));
    assert(! invlist_is_iterating(src));
    assert(SvCUR(src) == 0 || SvCUR(src) < SvLEN(src));

    /* Make sure it ends in the right place with a NUL, as our inversion list
     * manipulations aren't careful to keep this true, but sv_usepvn_flags()
     * asserts it */
    array[src_byte_len - 1] = '\0';

    TAINT_NOT;      /* Otherwise it breaks */
    sv_usepvn_flags(dest,
                    (char *) array,
                    src_byte_len - 1,

                    /* This flag is documented to cause a copy to be avoided */
                    SV_HAS_TRAILING_NUL);
    TAINT_set(oldtainted);
    SvPV_set(src, 0);
    SvLEN_set(src, 0);
    SvCUR_set(src, 0);

    /* Finish up copying over the other fields in an inversion list */
    *get_invlist_offset_addr(dest) = src_offset;
    invlist_set_len(dest, src_len, src_offset);
    *get_invlist_previous_index_addr(dest) = 0;
    invlist_iterfinish(dest);
}

PERL_STATIC_INLINE IV*
S_get_invlist_previous_index_addr(SV* invlist)
{
    /* Return the address of the IV that is reserved to hold the cached index
     * */
    PERL_ARGS_ASSERT_GET_INVLIST_PREVIOUS_INDEX_ADDR;

    assert(is_invlist(invlist));

    return &(((XINVLIST*) SvANY(invlist))->prev_index);
}

PERL_STATIC_INLINE IV
S_invlist_previous_index(SV* const invlist)
{
    /* Returns cached index of previous search */

    PERL_ARGS_ASSERT_INVLIST_PREVIOUS_INDEX;

    return *get_invlist_previous_index_addr(invlist);
}

PERL_STATIC_INLINE void
S_invlist_set_previous_index(SV* const invlist, const IV index)
{
    /* Caches <index> for later retrieval */

    PERL_ARGS_ASSERT_INVLIST_SET_PREVIOUS_INDEX;

    assert(index == 0 || index < (int) _invlist_len(invlist));

    *get_invlist_previous_index_addr(invlist) = index;
}

PERL_STATIC_INLINE void
S_invlist_trim(SV* invlist)
{
    /* Free the not currently-being-used space in an inversion list */

    /* But don't free up the space needed for the 0 UV that is always at the
     * beginning of the list, nor the trailing NUL */
    const UV min_size = TO_INTERNAL_SIZE(1) + 1;

    PERL_ARGS_ASSERT_INVLIST_TRIM;

    assert(is_invlist(invlist));

    SvPV_renew(invlist, MAX(min_size, SvCUR(invlist) + 1));
}

PERL_STATIC_INLINE void
S_invlist_clear(pTHX_ SV* invlist)    /* Empty the inversion list */
{
    PERL_ARGS_ASSERT_INVLIST_CLEAR;

    assert(is_invlist(invlist));

    invlist_set_len(invlist, 0, 0);
    invlist_trim(invlist);
}

PERL_STATIC_INLINE UV
S_invlist_max(const SV* const invlist)
{
    /* Returns the maximum number of elements storable in the inversion list's
     * array, without having to realloc() */

    PERL_ARGS_ASSERT_INVLIST_MAX;

    assert(is_invlist(invlist));

    /* Assumes worst case, in which the 0 element is not counted in the
     * inversion list, so subtracts 1 for that */
    return SvLEN(invlist) == 0  /* This happens under _new_invlist_C_array */
           ? FROM_INTERNAL_SIZE(SvCUR(invlist)) - 1
           : FROM_INTERNAL_SIZE(SvLEN(invlist)) - 1;
}

STATIC void
S_initialize_invlist_guts(pTHX_ SV* invlist, const Size_t initial_size)
{
    PERL_ARGS_ASSERT_INITIALIZE_INVLIST_GUTS;

    /* First 1 is in case the zero element isn't in the list; second 1 is for
     * trailing NUL */
    SvGROW(invlist, TO_INTERNAL_SIZE(initial_size + 1) + 1);
    invlist_set_len(invlist, 0, 0);

    /* Force iterinit() to be used to get iteration to work */
    invlist_iterfinish(invlist);

    *get_invlist_previous_index_addr(invlist) = 0;
    SvPOK_on(invlist);  /* This allows B to extract the PV */
}

SV*
Perl__new_invlist(pTHX_ IV initial_size)
{

    /* Return a pointer to a newly constructed inversion list, with enough
     * space to store 'initial_size' elements.  If that number is negative, a
     * system default is used instead */

    SV* new_list;

    if (initial_size < 0) {
        initial_size = 10;
    }

    new_list = newSV_type(SVt_INVLIST);
    initialize_invlist_guts(new_list, initial_size);

    return new_list;
}

SV*
Perl__new_invlist_C_array(pTHX_ const UV* const list)
{
    /* Return a pointer to a newly constructed inversion list, initialized to
     * point to <list>, which has to be in the exact correct inversion list
     * form, including internal fields.  Thus this is a dangerous routine that
     * should not be used in the wrong hands.  The passed in 'list' contains
     * several header fields at the beginning that are not part of the
     * inversion list body proper */

    const STRLEN length = (STRLEN) list[0];
    const UV version_id =          list[1];
    const bool offset   =    cBOOL(list[2]);
#define HEADER_LENGTH 3
    /* If any of the above changes in any way, you must change HEADER_LENGTH
     * (if appropriate) and regenerate INVLIST_VERSION_ID by running
     *      perl -E 'say int(rand 2**31-1)'
     */
#define INVLIST_VERSION_ID 148565664 /* This is a combination of a version and
                                        data structure type, so that one being
                                        passed in can be validated to be an
                                        inversion list of the correct vintage.
                                       */

    SV* invlist = newSV_type(SVt_INVLIST);

    PERL_ARGS_ASSERT__NEW_INVLIST_C_ARRAY;

    if (version_id != INVLIST_VERSION_ID) {
        Perl_croak(aTHX_ "panic: Incorrect version for previously generated inversion list");
    }

    /* The generated array passed in includes header elements that aren't part
     * of the list proper, so start it just after them */
    SvPV_set(invlist, (char *) (list + HEADER_LENGTH));

    SvLEN_set(invlist, 0);  /* Means we own the contents, and the system
                               shouldn't touch it */

    *(get_invlist_offset_addr(invlist)) = offset;

    /* The 'length' passed to us is the physical number of elements in the
     * inversion list.  But if there is an offset the logical number is one
     * less than that */
    invlist_set_len(invlist, length  - offset, offset);

    invlist_set_previous_index(invlist, 0);

    /* Initialize the iteration pointer. */
    invlist_iterfinish(invlist);

    SvREADONLY_on(invlist);
    SvPOK_on(invlist);

    return invlist;
}

STATIC void
S__append_range_to_invlist(pTHX_ SV* const invlist,
                                 const UV start, const UV end)
{
   /* Subject to change or removal.  Append the range from 'start' to 'end' at
    * the end of the inversion list.  The range must be above any existing
    * ones. */

    UV* array;
    UV max = invlist_max(invlist);
    UV len = _invlist_len(invlist);
    bool offset;

    PERL_ARGS_ASSERT__APPEND_RANGE_TO_INVLIST;

    if (len == 0) { /* Empty lists must be initialized */
        offset = start != 0;
        array = _invlist_array_init(invlist, ! offset);
    }
    else {
        /* Here, the existing list is non-empty. The current max entry in the
         * list is generally the first value not in the set, except when the
         * set extends to the end of permissible values, in which case it is
         * the first entry in that final set, and so this call is an attempt to
         * append out-of-order */

        UV final_element = len - 1;
        array = invlist_array(invlist);
        if (   array[final_element] > start
            || ELEMENT_RANGE_MATCHES_INVLIST(final_element))
        {
            Perl_croak(aTHX_ "panic: attempting to append to an inversion list, but wasn't at the end of the list, final=%" UVuf ", start=%" UVuf ", match=%c",
                     array[final_element], start,
                     ELEMENT_RANGE_MATCHES_INVLIST(final_element) ? 't' : 'f');
        }

        /* Here, it is a legal append.  If the new range begins 1 above the end
         * of the range below it, it is extending the range below it, so the
         * new first value not in the set is one greater than the newly
         * extended range.  */
        offset = *get_invlist_offset_addr(invlist);
        if (array[final_element] == start) {
            if (end != UV_MAX) {
                array[final_element] = end + 1;
            }
            else {
                /* But if the end is the maximum representable on the machine,
                 * assume that infinity was actually what was meant.  Just let
                 * the range that this would extend to have no end */
                invlist_set_len(invlist, len - 1, offset);
            }
            return;
        }
    }

    /* Here the new range doesn't extend any existing set.  Add it */

    len += 2;   /* Includes an element each for the start and end of range */

    /* If wll overflow the existing space, extend, which may cause the array to
     * be moved */
    if (max < len) {
        invlist_extend(invlist, len);

        /* Have to set len here to avoid assert failure in invlist_array() */
        invlist_set_len(invlist, len, offset);

        array = invlist_array(invlist);
    }
    else {
        invlist_set_len(invlist, len, offset);
    }

    /* The next item on the list starts the range, the one after that is
     * one past the new range.  */
    array[len - 2] = start;
    if (end != UV_MAX) {
        array[len - 1] = end + 1;
    }
    else {
        /* But if the end is the maximum representable on the machine, just let
         * the range have no end */
        invlist_set_len(invlist, len - 1, offset);
    }
}

SSize_t
Perl__invlist_search(SV* const invlist, const UV cp)
{
    /* Searches the inversion list for the entry that contains the input code
     * point <cp>.  If <cp> is not in the list, -1 is returned.  Otherwise, the
     * return value is the index into the list's array of the range that
     * contains <cp>, that is, 'i' such that
     *  array[i] <= cp < array[i+1]
     */

    IV low = 0;
    IV mid;
    IV high = _invlist_len(invlist);
    const IV highest_element = high - 1;
    const UV* array;

    PERL_ARGS_ASSERT__INVLIST_SEARCH;

    /* If list is empty, return failure. */
    if (UNLIKELY(high == 0)) {
        return -1;
    }

    /* (We can't get the array unless we know the list is non-empty) */
    array = invlist_array(invlist);

    mid = invlist_previous_index(invlist);
    assert(mid >=0);
    if (UNLIKELY(mid > highest_element)) {
        mid = highest_element;
    }

    /* <mid> contains the cache of the result of the previous call to this
     * function (0 the first time).  See if this call is for the same result,
     * or if it is for mid-1.  This is under the theory that calls to this
     * function will often be for related code points that are near each other.
     * And benchmarks show that caching gives better results.  We also test
     * here if the code point is within the bounds of the list.  These tests
     * replace others that would have had to be made anyway to make sure that
     * the array bounds were not exceeded, and these give us extra information
     * at the same time */
    if (cp >= array[mid]) {
        if (cp >= array[highest_element]) {
            return highest_element;
        }

        /* Here, array[mid] <= cp < array[highest_element].  This means that
         * the final element is not the answer, so can exclude it; it also
         * means that <mid> is not the final element, so can refer to 'mid + 1'
         * safely */
        if (cp < array[mid + 1]) {
            return mid;
        }
        high--;
        low = mid + 1;
    }
    else { /* cp < aray[mid] */
        if (cp < array[0]) { /* Fail if outside the array */
            return -1;
        }
        high = mid;
        if (cp >= array[mid - 1]) {
            goto found_entry;
        }
    }

    /* Binary search.  What we are looking for is <i> such that
     *  array[i] <= cp < array[i+1]
     * The loop below converges on the i+1.  Note that there may not be an
     * (i+1)th element in the array, and things work nonetheless */
    while (low < high) {
        mid = (low + high) / 2;
        assert(mid <= highest_element);
        if (array[mid] <= cp) { /* cp >= array[mid] */
            low = mid + 1;

            /* We could do this extra test to exit the loop early.
            if (cp < array[low]) {
                return mid;
            }
            */
        }
        else { /* cp < array[mid] */
            high = mid;
        }
    }

  found_entry:
    high--;
    invlist_set_previous_index(invlist, high);
    return high;
}

void
Perl__invlist_union_maybe_complement_2nd(pTHX_ SV* const a, SV* const b,
                                         const bool complement_b, SV** output)
{
    /* Take the union of two inversion lists and point '*output' to it.  On
     * input, '*output' MUST POINT TO NULL OR TO AN SV* INVERSION LIST (possibly
     * even 'a' or 'b').  If to an inversion list, the contents of the original
     * list will be replaced by the union.  The first list, 'a', may be
     * NULL, in which case a copy of the second list is placed in '*output'.
     * If 'complement_b' is TRUE, the union is taken of the complement
     * (inversion) of 'b' instead of b itself.
     *
     * The basis for this comes from "Unicode Demystified" Chapter 13 by
     * Richard Gillam, published by Addison-Wesley, and explained at some
     * length there.  The preface says to incorporate its examples into your
     * code at your own risk.
     *
     * The algorithm is like a merge sort. */

    const UV* array_a;    /* a's array */
    const UV* array_b;
    UV len_a;       /* length of a's array */
    UV len_b;

    SV* u;                      /* the resulting union */
    UV* array_u;
    UV len_u = 0;

    UV i_a = 0;             /* current index into a's array */
    UV i_b = 0;
    UV i_u = 0;

    /* running count, as explained in the algorithm source book; items are
     * stopped accumulating and are output when the count changes to/from 0.
     * The count is incremented when we start a range that's in an input's set,
     * and decremented when we start a range that's not in a set.  So this
     * variable can be 0, 1, or 2.  When it is 0 neither input is in their set,
     * and hence nothing goes into the union; 1, just one of the inputs is in
     * its set (and its current range gets added to the union); and 2 when both
     * inputs are in their sets.  */
    UV count = 0;

    PERL_ARGS_ASSERT__INVLIST_UNION_MAYBE_COMPLEMENT_2ND;
    assert(a != b);
    assert(*output == NULL || is_invlist(*output));

    len_b = _invlist_len(b);
    if (len_b == 0) {

        /* Here, 'b' is empty, hence it's complement is all possible code
         * points.  So if the union includes the complement of 'b', it includes
         * everything, and we need not even look at 'a'.  It's easiest to
         * create a new inversion list that matches everything.  */
        if (complement_b) {
            SV* everything = _add_range_to_invlist(NULL, 0, UV_MAX);

            if (*output == NULL) { /* If the output didn't exist, just point it
                                      at the new list */
                *output = everything;
            }
            else { /* Otherwise, replace its contents with the new list */
                invlist_replace_list_destroys_src(*output, everything);
                SvREFCNT_dec_NN(everything);
            }

            return;
        }

        /* Here, we don't want the complement of 'b', and since 'b' is empty,
         * the union will come entirely from 'a'.  If 'a' is NULL or empty, the
         * output will be empty */

        if (a == NULL || _invlist_len(a) == 0) {
            if (*output == NULL) {
                *output = _new_invlist(0);
            }
            else {
                invlist_clear(*output);
            }
            return;
        }

        /* Here, 'a' is not empty, but 'b' is, so 'a' entirely determines the
         * union.  We can just return a copy of 'a' if '*output' doesn't point
         * to an existing list */
        if (*output == NULL) {
            *output = invlist_clone(a, NULL);
            return;
        }

        /* If the output is to overwrite 'a', we have a no-op, as it's
         * already in 'a' */
        if (*output == a) {
            return;
        }

        /* Here, '*output' is to be overwritten by 'a' */
        u = invlist_clone(a, NULL);
        invlist_replace_list_destroys_src(*output, u);
        SvREFCNT_dec_NN(u);

        return;
    }

    /* Here 'b' is not empty.  See about 'a' */

    if (a == NULL || ((len_a = _invlist_len(a)) == 0)) {

        /* Here, 'a' is empty (and b is not).  That means the union will come
         * entirely from 'b'.  If '*output' is NULL, we can directly return a
         * clone of 'b'.  Otherwise, we replace the contents of '*output' with
         * the clone */

        SV ** dest = (*output == NULL) ? output : &u;
        *dest = invlist_clone(b, NULL);
        if (complement_b) {
            _invlist_invert(*dest);
        }

        if (dest == &u) {
            invlist_replace_list_destroys_src(*output, u);
            SvREFCNT_dec_NN(u);
        }

        return;
    }

    /* Here both lists exist and are non-empty */
    array_a = invlist_array(a);
    array_b = invlist_array(b);

    /* If are to take the union of 'a' with the complement of b, set it
     * up so are looking at b's complement. */
    if (complement_b) {

        /* To complement, we invert: if the first element is 0, remove it.  To
         * do this, we just pretend the array starts one later */
        if (array_b[0] == 0) {
            array_b++;
            len_b--;
        }
        else {

            /* But if the first element is not zero, we pretend the list starts
             * at the 0 that is always stored immediately before the array. */
            array_b--;
            len_b++;
        }
    }

    /* Size the union for the worst case: that the sets are completely
     * disjoint */
    u = _new_invlist(len_a + len_b);

    /* Will contain U+0000 if either component does */
    array_u = _invlist_array_init(u, (    len_a > 0 && array_a[0] == 0)
                                      || (len_b > 0 && array_b[0] == 0));

    /* Go through each input list item by item, stopping when have exhausted
     * one of them */
    while (i_a < len_a && i_b < len_b) {
        UV cp;      /* The element to potentially add to the union's array */
        bool cp_in_set;   /* is it in the input list's set or not */

        /* We need to take one or the other of the two inputs for the union.
         * Since we are merging two sorted lists, we take the smaller of the
         * next items.  In case of a tie, we take first the one that is in its
         * set.  If we first took the one not in its set, it would decrement
         * the count, possibly to 0 which would cause it to be output as ending
         * the range, and the next time through we would take the same number,
         * and output it again as beginning the next range.  By doing it the
         * opposite way, there is no possibility that the count will be
         * momentarily decremented to 0, and thus the two adjoining ranges will
         * be seamlessly merged.  (In a tie and both are in the set or both not
         * in the set, it doesn't matter which we take first.) */
        if (       array_a[i_a] < array_b[i_b]
            || (   array_a[i_a] == array_b[i_b]
                && ELEMENT_RANGE_MATCHES_INVLIST(i_a)))
        {
            cp_in_set = ELEMENT_RANGE_MATCHES_INVLIST(i_a);
            cp = array_a[i_a++];
        }
        else {
            cp_in_set = ELEMENT_RANGE_MATCHES_INVLIST(i_b);
            cp = array_b[i_b++];
        }

        /* Here, have chosen which of the two inputs to look at.  Only output
         * if the running count changes to/from 0, which marks the
         * beginning/end of a range that's in the set */
        if (cp_in_set) {
            if (count == 0) {
                array_u[i_u++] = cp;
            }
            count++;
        }
        else {
            count--;
            if (count == 0) {
                array_u[i_u++] = cp;
            }
        }
    }


    /* The loop above increments the index into exactly one of the input lists
     * each iteration, and ends when either index gets to its list end.  That
     * means the other index is lower than its end, and so something is
     * remaining in that one.  We decrement 'count', as explained below, if
     * that list is in its set.  (i_a and i_b each currently index the element
     * beyond the one we care about.) */
    if (   (i_a != len_a && PREV_RANGE_MATCHES_INVLIST(i_a))
        || (i_b != len_b && PREV_RANGE_MATCHES_INVLIST(i_b)))
    {
        count--;
    }

    /* Above we decremented 'count' if the list that had unexamined elements in
     * it was in its set.  This has made it so that 'count' being non-zero
     * means there isn't anything left to output; and 'count' equal to 0 means
     * that what is left to output is precisely that which is left in the
     * non-exhausted input list.
     *
     * To see why, note first that the exhausted input obviously has nothing
     * left to add to the union.  If it was in its set at its end, that means
     * the set extends from here to the platform's infinity, and hence so does
     * the union and the non-exhausted set is irrelevant.  The exhausted set
     * also contributed 1 to 'count'.  If 'count' was 2, it got decremented to
     * 1, but if it was 1, the non-exhausted set wasn't in its set, and so
     * 'count' remains at 1.  This is consistent with the decremented 'count'
     * != 0 meaning there's nothing left to add to the union.
     *
     * But if the exhausted input wasn't in its set, it contributed 0 to
     * 'count', and the rest of the union will be whatever the other input is.
     * If 'count' was 0, neither list was in its set, and 'count' remains 0;
     * otherwise it gets decremented to 0.  This is consistent with 'count'
     * == 0 meaning the remainder of the union is whatever is left in the
     * non-exhausted list. */
    if (count != 0) {
        len_u = i_u;
    }
    else {
        IV copy_count = len_a - i_a;
        if (copy_count > 0) {   /* The non-exhausted input is 'a' */
            Copy(array_a + i_a, array_u + i_u, copy_count, UV);
        }
        else { /* The non-exhausted input is b */
            copy_count = len_b - i_b;
            Copy(array_b + i_b, array_u + i_u, copy_count, UV);
        }
        len_u = i_u + copy_count;
    }

    /* Set the result to the final length, which can change the pointer to
     * array_u, so re-find it.  (Note that it is unlikely that this will
     * change, as we are shrinking the space, not enlarging it) */
    if (len_u != _invlist_len(u)) {
        invlist_set_len(u, len_u, *get_invlist_offset_addr(u));
        invlist_trim(u);
        array_u = invlist_array(u);
    }

    if (*output == NULL) {  /* Simply return the new inversion list */
        *output = u;
    }
    else {
        /* Otherwise, overwrite the inversion list that was in '*output'.  We
         * could instead free '*output', and then set it to 'u', but experience
         * has shown [perl #127392] that if the input is a mortal, we can get a
         * huge build-up of these during regex compilation before they get
         * freed. */
        invlist_replace_list_destroys_src(*output, u);
        SvREFCNT_dec_NN(u);
    }

    return;
}

void
Perl__invlist_intersection_maybe_complement_2nd(pTHX_ SV* const a, SV* const b,
                                               const bool complement_b, SV** i)
{
    /* Take the intersection of two inversion lists and point '*i' to it.  On
     * input, '*i' MUST POINT TO NULL OR TO AN SV* INVERSION LIST (possibly
     * even 'a' or 'b').  If to an inversion list, the contents of the original
     * list will be replaced by the intersection.  The first list, 'a', may be
     * NULL, in which case '*i' will be an empty list.  If 'complement_b' is
     * TRUE, the result will be the intersection of 'a' and the complement (or
     * inversion) of 'b' instead of 'b' directly.
     *
     * The basis for this comes from "Unicode Demystified" Chapter 13 by
     * Richard Gillam, published by Addison-Wesley, and explained at some
     * length there.  The preface says to incorporate its examples into your
     * code at your own risk.  In fact, it had bugs
     *
     * The algorithm is like a merge sort, and is essentially the same as the
     * union above
     */

    const UV* array_a;          /* a's array */
    const UV* array_b;
    UV len_a;   /* length of a's array */
    UV len_b;

    SV* r;                   /* the resulting intersection */
    UV* array_r;
    UV len_r = 0;

    UV i_a = 0;             /* current index into a's array */
    UV i_b = 0;
    UV i_r = 0;

    /* running count of how many of the two inputs are postitioned at ranges
     * that are in their sets.  As explained in the algorithm source book,
     * items are stopped accumulating and are output when the count changes
     * to/from 2.  The count is incremented when we start a range that's in an
     * input's set, and decremented when we start a range that's not in a set.
     * Only when it is 2 are we in the intersection. */
    UV count = 0;

    PERL_ARGS_ASSERT__INVLIST_INTERSECTION_MAYBE_COMPLEMENT_2ND;
    assert(a != b);
    assert(*i == NULL || is_invlist(*i));

    /* Special case if either one is empty */
    len_a = (a == NULL) ? 0 : _invlist_len(a);
    if ((len_a == 0) || ((len_b = _invlist_len(b)) == 0)) {
        if (len_a != 0 && complement_b) {

            /* Here, 'a' is not empty, therefore from the enclosing 'if', 'b'
             * must be empty.  Here, also we are using 'b's complement, which
             * hence must be every possible code point.  Thus the intersection
             * is simply 'a'. */

            if (*i == a) {  /* No-op */
                return;
            }

            if (*i == NULL) {
                *i = invlist_clone(a, NULL);
                return;
            }

            r = invlist_clone(a, NULL);
            invlist_replace_list_destroys_src(*i, r);
            SvREFCNT_dec_NN(r);
            return;
        }

        /* Here, 'a' or 'b' is empty and not using the complement of 'b'.  The
         * intersection must be empty */
        if (*i == NULL) {
            *i = _new_invlist(0);
            return;
        }

        invlist_clear(*i);
        return;
    }

    /* Here both lists exist and are non-empty */
    array_a = invlist_array(a);
    array_b = invlist_array(b);

    /* If are to take the intersection of 'a' with the complement of b, set it
     * up so are looking at b's complement. */
    if (complement_b) {

        /* To complement, we invert: if the first element is 0, remove it.  To
         * do this, we just pretend the array starts one later */
        if (array_b[0] == 0) {
            array_b++;
            len_b--;
        }
        else {

            /* But if the first element is not zero, we pretend the list starts
             * at the 0 that is always stored immediately before the array. */
            array_b--;
            len_b++;
        }
    }

    /* Size the intersection for the worst case: that the intersection ends up
     * fragmenting everything to be completely disjoint */
    r= _new_invlist(len_a + len_b);

    /* Will contain U+0000 iff both components do */
    array_r = _invlist_array_init(r,    len_a > 0 && array_a[0] == 0
                                     && len_b > 0 && array_b[0] == 0);

    /* Go through each list item by item, stopping when have exhausted one of
     * them */
    while (i_a < len_a && i_b < len_b) {
        UV cp;      /* The element to potentially add to the intersection's
                       array */
        bool cp_in_set; /* Is it in the input list's set or not */

        /* We need to take one or the other of the two inputs for the
         * intersection.  Since we are merging two sorted lists, we take the
         * smaller of the next items.  In case of a tie, we take first the one
         * that is not in its set (a difference from the union algorithm).  If
         * we first took the one in its set, it would increment the count,
         * possibly to 2 which would cause it to be output as starting a range
         * in the intersection, and the next time through we would take that
         * same number, and output it again as ending the set.  By doing the
         * opposite of this, there is no possibility that the count will be
         * momentarily incremented to 2.  (In a tie and both are in the set or
         * both not in the set, it doesn't matter which we take first.) */
        if (       array_a[i_a] < array_b[i_b]
            || (   array_a[i_a] == array_b[i_b]
                && ! ELEMENT_RANGE_MATCHES_INVLIST(i_a)))
        {
            cp_in_set = ELEMENT_RANGE_MATCHES_INVLIST(i_a);
            cp = array_a[i_a++];
        }
        else {
            cp_in_set = ELEMENT_RANGE_MATCHES_INVLIST(i_b);
            cp= array_b[i_b++];
        }

        /* Here, have chosen which of the two inputs to look at.  Only output
         * if the running count changes to/from 2, which marks the
         * beginning/end of a range that's in the intersection */
        if (cp_in_set) {
            count++;
            if (count == 2) {
                array_r[i_r++] = cp;
            }
        }
        else {
            if (count == 2) {
                array_r[i_r++] = cp;
            }
            count--;
        }

    }

    /* The loop above increments the index into exactly one of the input lists
     * each iteration, and ends when either index gets to its list end.  That
     * means the other index is lower than its end, and so something is
     * remaining in that one.  We increment 'count', as explained below, if the
     * exhausted list was in its set.  (i_a and i_b each currently index the
     * element beyond the one we care about.) */
    if (   (i_a == len_a && PREV_RANGE_MATCHES_INVLIST(i_a))
        || (i_b == len_b && PREV_RANGE_MATCHES_INVLIST(i_b)))
    {
        count++;
    }

    /* Above we incremented 'count' if the exhausted list was in its set.  This
     * has made it so that 'count' being below 2 means there is nothing left to
     * output; otheriwse what's left to add to the intersection is precisely
     * that which is left in the non-exhausted input list.
     *
     * To see why, note first that the exhausted input obviously has nothing
     * left to affect the intersection.  If it was in its set at its end, that
     * means the set extends from here to the platform's infinity, and hence
     * anything in the non-exhausted's list will be in the intersection, and
     * anything not in it won't be.  Hence, the rest of the intersection is
     * precisely what's in the non-exhausted list  The exhausted set also
     * contributed 1 to 'count', meaning 'count' was at least 1.  Incrementing
     * it means 'count' is now at least 2.  This is consistent with the
     * incremented 'count' being >= 2 means to add the non-exhausted list to
     * the intersection.
     *
     * But if the exhausted input wasn't in its set, it contributed 0 to
     * 'count', and the intersection can't include anything further; the
     * non-exhausted set is irrelevant.  'count' was at most 1, and doesn't get
     * incremented.  This is consistent with 'count' being < 2 meaning nothing
     * further to add to the intersection. */
    if (count < 2) { /* Nothing left to put in the intersection. */
        len_r = i_r;
    }
    else { /* copy the non-exhausted list, unchanged. */
        IV copy_count = len_a - i_a;
        if (copy_count > 0) {   /* a is the one with stuff left */
            Copy(array_a + i_a, array_r + i_r, copy_count, UV);
        }
        else {  /* b is the one with stuff left */
            copy_count = len_b - i_b;
            Copy(array_b + i_b, array_r + i_r, copy_count, UV);
        }
        len_r = i_r + copy_count;
    }

    /* Set the result to the final length, which can change the pointer to
     * array_r, so re-find it.  (Note that it is unlikely that this will
     * change, as we are shrinking the space, not enlarging it) */
    if (len_r != _invlist_len(r)) {
        invlist_set_len(r, len_r, *get_invlist_offset_addr(r));
        invlist_trim(r);
        array_r = invlist_array(r);
    }

    if (*i == NULL) { /* Simply return the calculated intersection */
        *i = r;
    }
    else { /* Otherwise, replace the existing inversion list in '*i'.  We could
              instead free '*i', and then set it to 'r', but experience has
              shown [perl #127392] that if the input is a mortal, we can get a
              huge build-up of these during regex compilation before they get
              freed. */
        if (len_r) {
            invlist_replace_list_destroys_src(*i, r);
        }
        else {
            invlist_clear(*i);
        }
        SvREFCNT_dec_NN(r);
    }

    return;
}

SV*
Perl__add_range_to_invlist(pTHX_ SV* invlist, UV start, UV end)
{
    /* Add the range from 'start' to 'end' inclusive to the inversion list's
     * set.  A pointer to the inversion list is returned.  This may actually be
     * a new list, in which case the passed in one has been destroyed.  The
     * passed-in inversion list can be NULL, in which case a new one is created
     * with just the one range in it.  The new list is not necessarily
     * NUL-terminated.  Space is not freed if the inversion list shrinks as a
     * result of this function.  The gain would not be large, and in many
     * cases, this is called multiple times on a single inversion list, so
     * anything freed may almost immediately be needed again.
     *
     * This used to mostly call the 'union' routine, but that is much more
     * heavyweight than really needed for a single range addition */

    UV* array;              /* The array implementing the inversion list */
    UV len;                 /* How many elements in 'array' */
    SSize_t i_s;            /* index into the invlist array where 'start'
                               should go */
    SSize_t i_e = 0;        /* And the index where 'end' should go */
    UV cur_highest;         /* The highest code point in the inversion list
                               upon entry to this function */

    /* This range becomes the whole inversion list if none already existed */
    if (invlist == NULL) {
        invlist = _new_invlist(2);
        _append_range_to_invlist(invlist, start, end);
        return invlist;
    }

    /* Likewise, if the inversion list is currently empty */
    len = _invlist_len(invlist);
    if (len == 0) {
        _append_range_to_invlist(invlist, start, end);
        return invlist;
    }

    /* Starting here, we have to know the internals of the list */
    array = invlist_array(invlist);

    /* If the new range ends higher than the current highest ... */
    cur_highest = invlist_highest(invlist);
    if (end > cur_highest) {

        /* If the whole range is higher, we can just append it */
        if (start > cur_highest) {
            _append_range_to_invlist(invlist, start, end);
            return invlist;
        }

        /* Otherwise, add the portion that is higher ... */
        _append_range_to_invlist(invlist, cur_highest + 1, end);

        /* ... and continue on below to handle the rest.  As a result of the
         * above append, we know that the index of the end of the range is the
         * final even numbered one of the array.  Recall that the final element
         * always starts a range that extends to infinity.  If that range is in
         * the set (meaning the set goes from here to infinity), it will be an
         * even index, but if it isn't in the set, it's odd, and the final
         * range in the set is one less, which is even. */
        if (end == UV_MAX) {
            i_e = len;
        }
        else {
            i_e = len - 2;
        }
    }

    /* We have dealt with appending, now see about prepending.  If the new
     * range starts lower than the current lowest ... */
    if (start < array[0]) {

        /* Adding something which has 0 in it is somewhat tricky, and uncommon.
         * Let the union code handle it, rather than having to know the
         * trickiness in two code places.  */
        if (UNLIKELY(start == 0)) {
            SV* range_invlist;

            range_invlist = _new_invlist(2);
            _append_range_to_invlist(range_invlist, start, end);

            _invlist_union(invlist, range_invlist, &invlist);

            SvREFCNT_dec_NN(range_invlist);

            return invlist;
        }

        /* If the whole new range comes before the first entry, and doesn't
         * extend it, we have to insert it as an additional range */
        if (end < array[0] - 1) {
            i_s = i_e = -1;
            goto splice_in_new_range;
        }

        /* Here the new range adjoins the existing first range, extending it
         * downwards. */
        array[0] = start;

        /* And continue on below to handle the rest.  We know that the index of
         * the beginning of the range is the first one of the array */
        i_s = 0;
    }
    else { /* Not prepending any part of the new range to the existing list.
            * Find where in the list it should go.  This finds i_s, such that:
            *     invlist[i_s] <= start < array[i_s+1]
            */
        i_s = _invlist_search(invlist, start);
    }

    /* At this point, any extending before the beginning of the inversion list
     * and/or after the end has been done.  This has made it so that, in the
     * code below, each endpoint of the new range is either in a range that is
     * in the set, or is in a gap between two ranges that are.  This means we
     * don't have to worry about exceeding the array bounds.
     *
     * Find where in the list the new range ends (but we can skip this if we
     * have already determined what it is, or if it will be the same as i_s,
     * which we already have computed) */
    if (i_e == 0) {
        i_e = (start == end)
              ? i_s
              : _invlist_search(invlist, end);
    }

    /* Here generally invlist[i_e] <= end < array[i_e+1].  But if invlist[i_e]
     * is a range that goes to infinity there is no element at invlist[i_e+1],
     * so only the first relation holds. */

    if ( ! ELEMENT_RANGE_MATCHES_INVLIST(i_s)) {

        /* Here, the ranges on either side of the beginning of the new range
         * are in the set, and this range starts in the gap between them.
         *
         * The new range extends the range above it downwards if the new range
         * ends at or above that range's start */
        const bool extends_the_range_above = (   end == UV_MAX
                                              || end + 1 >= array[i_s+1]);

        /* The new range extends the range below it upwards if it begins just
         * after where that range ends */
        if (start == array[i_s]) {

            /* If the new range fills the entire gap between the other ranges,
             * they will get merged together.  Other ranges may also get
             * merged, depending on how many of them the new range spans.  In
             * the general case, we do the merge later, just once, after we
             * figure out how many to merge.  But in the case where the new
             * range exactly spans just this one gap (possibly extending into
             * the one above), we do the merge here, and an early exit.  This
             * is done here to avoid having to special case later. */
            if (i_e - i_s <= 1) {

                /* If i_e - i_s == 1, it means that the new range terminates
                 * within the range above, and hence 'extends_the_range_above'
                 * must be true.  (If the range above it extends to infinity,
                 * 'i_s+2' will be above the array's limit, but 'len-i_s-2'
                 * will be 0, so no harm done.) */
                if (extends_the_range_above) {
                    Move(array + i_s + 2, array + i_s, len - i_s - 2, UV);
                    invlist_set_len(invlist,
                                    len - 2,
                                    *(get_invlist_offset_addr(invlist)));
                    return invlist;
                }

                /* Here, i_e must == i_s.  We keep them in sync, as they apply
                 * to the same range, and below we are about to decrement i_s
                 * */
                i_e--;
            }

            /* Here, the new range is adjacent to the one below.  (It may also
             * span beyond the range above, but that will get resolved later.)
             * Extend the range below to include this one. */
            array[i_s] = (end == UV_MAX) ? UV_MAX : end + 1;
            i_s--;
            start = array[i_s];
        }
        else if (extends_the_range_above) {

            /* Here the new range only extends the range above it, but not the
             * one below.  It merges with the one above.  Again, we keep i_e
             * and i_s in sync if they point to the same range */
            if (i_e == i_s) {
                i_e++;
            }
            i_s++;
            array[i_s] = start;
        }
    }

    /* Here, we've dealt with the new range start extending any adjoining
     * existing ranges.
     *
     * If the new range extends to infinity, it is now the final one,
     * regardless of what was there before */
    if (UNLIKELY(end == UV_MAX)) {
        invlist_set_len(invlist, i_s + 1, *(get_invlist_offset_addr(invlist)));
        return invlist;
    }

    /* If i_e started as == i_s, it has also been dealt with,
     * and been updated to the new i_s, which will fail the following if */
    if (! ELEMENT_RANGE_MATCHES_INVLIST(i_e)) {

        /* Here, the ranges on either side of the end of the new range are in
         * the set, and this range ends in the gap between them.
         *
         * If this range is adjacent to (hence extends) the range above it, it
         * becomes part of that range; likewise if it extends the range below,
         * it becomes part of that range */
        if (end + 1 == array[i_e+1]) {
            i_e++;
            array[i_e] = start;
        }
        else if (start <= array[i_e]) {
            array[i_e] = end + 1;
            i_e--;
        }
    }

    if (i_s == i_e) {

        /* If the range fits entirely in an existing range (as possibly already
         * extended above), it doesn't add anything new */
        if (ELEMENT_RANGE_MATCHES_INVLIST(i_s)) {
            return invlist;
        }

        /* Here, no part of the range is in the list.  Must add it.  It will
         * occupy 2 more slots */
      splice_in_new_range:

        invlist_extend(invlist, len + 2);
        array = invlist_array(invlist);
        /* Move the rest of the array down two slots. Don't include any
         * trailing NUL */
        Move(array + i_e + 1, array + i_e + 3, len - i_e - 1, UV);

        /* Do the actual splice */
        array[i_e+1] = start;
        array[i_e+2] = end + 1;
        invlist_set_len(invlist, len + 2, *(get_invlist_offset_addr(invlist)));
        return invlist;
    }

    /* Here the new range crossed the boundaries of a pre-existing range.  The
     * code above has adjusted things so that both ends are in ranges that are
     * in the set.  This means everything in between must also be in the set.
     * Just squash things together */
    Move(array + i_e + 1, array + i_s + 1, len - i_e - 1, UV);
    invlist_set_len(invlist,
                    len - i_e + i_s,
                    *(get_invlist_offset_addr(invlist)));

    return invlist;
}

SV*
Perl__setup_canned_invlist(pTHX_ const STRLEN size, const UV element0,
                                 UV** other_elements_ptr)
{
    /* Create and return an inversion list whose contents are to be populated
     * by the caller.  The caller gives the number of elements (in 'size') and
     * the very first element ('element0').  This function will set
     * '*other_elements_ptr' to an array of UVs, where the remaining elements
     * are to be placed.
     *
     * Obviously there is some trust involved that the caller will properly
     * fill in the other elements of the array.
     *
     * (The first element needs to be passed in, as the underlying code does
     * things differently depending on whether it is zero or non-zero) */

    SV* invlist = _new_invlist(size);
    bool offset;

    PERL_ARGS_ASSERT__SETUP_CANNED_INVLIST;

    invlist = add_cp_to_invlist(invlist, element0);
    offset = *get_invlist_offset_addr(invlist);

    invlist_set_len(invlist, size, offset);
    *other_elements_ptr = invlist_array(invlist) + 1;
    return invlist;
}

#endif

#ifndef PERL_IN_XSUB_RE
void
Perl__invlist_invert(pTHX_ SV* const invlist)
{
    /* Complement the input inversion list.  This adds a 0 if the list didn't
     * have a zero; removes it otherwise.  As described above, the data
     * structure is set up so that this is very efficient */

    PERL_ARGS_ASSERT__INVLIST_INVERT;

    assert(! invlist_is_iterating(invlist));

    /* The inverse of matching nothing is matching everything */
    if (_invlist_len(invlist) == 0) {
        _append_range_to_invlist(invlist, 0, UV_MAX);
        return;
    }

    *get_invlist_offset_addr(invlist) = ! *get_invlist_offset_addr(invlist);
}

SV*
Perl_invlist_clone(pTHX_ SV* const invlist, SV* new_invlist)
{
    /* Return a new inversion list that is a copy of the input one, which is
     * unchanged.  The new list will not be mortal even if the old one was. */

    const STRLEN nominal_length = _invlist_len(invlist);
    const STRLEN physical_length = SvCUR(invlist);
    const bool offset = *(get_invlist_offset_addr(invlist));

    PERL_ARGS_ASSERT_INVLIST_CLONE;

    if (new_invlist == NULL) {
        new_invlist = _new_invlist(nominal_length);
    }
    else {
        sv_upgrade(new_invlist, SVt_INVLIST);
        initialize_invlist_guts(new_invlist, nominal_length);
    }

    *(get_invlist_offset_addr(new_invlist)) = offset;
    invlist_set_len(new_invlist, nominal_length, offset);
    Copy(SvPVX(invlist), SvPVX(new_invlist), physical_length, char);

    return new_invlist;
}

#endif


#ifndef PERL_IN_XSUB_RE
void
Perl__invlist_dump(pTHX_ PerlIO *file, I32 level,
                         const char * const indent, SV* const invlist)
{
    /* Designed to be called only by do_sv_dump().  Dumps out the ranges of the
     * inversion list 'invlist' to 'file' at 'level'  Each line is prefixed by
     * the string 'indent'.  The output looks like this:
         [0] 0x000A .. 0x000D
         [2] 0x0085
         [4] 0x2028 .. 0x2029
         [6] 0x3104 .. INFTY
     * This means that the first range of code points matched by the list are
     * 0xA through 0xD; the second range contains only the single code point
     * 0x85, etc.  An inversion list is an array of UVs.  Two array elements
     * are used to define each range (except if the final range extends to
     * infinity, only a single element is needed).  The array index of the
     * first element for the corresponding range is given in brackets. */

    UV start, end;
    STRLEN count = 0;

    PERL_ARGS_ASSERT__INVLIST_DUMP;

    if (invlist_is_iterating(invlist)) {
        Perl_dump_indent(aTHX_ level, file,
             "%sCan't dump inversion list because is in middle of iterating\n",
             indent);
        return;
    }

    invlist_iterinit(invlist);
    while (invlist_iternext(invlist, &start, &end)) {
        if (end == UV_MAX) {
            Perl_dump_indent(aTHX_ level, file,
                                       "%s[%" UVuf "] 0x%04" UVXf " .. INFTY\n",
                                   indent, (UV)count, start);
        }
        else if (end != start) {
            Perl_dump_indent(aTHX_ level, file,
                                    "%s[%" UVuf "] 0x%04" UVXf " .. 0x%04" UVXf "\n",
                                indent, (UV)count, start,         end);
        }
        else {
            Perl_dump_indent(aTHX_ level, file, "%s[%" UVuf "] 0x%04" UVXf "\n",
                                            indent, (UV)count, start);
        }
        count += 2;
    }
}

#endif

#if defined(PERL_ARGS_ASSERT__INVLISTEQ) && !defined(PERL_IN_XSUB_RE)
bool
Perl__invlistEQ(pTHX_ SV* const a, SV* const b, const bool complement_b)
{
    /* Return a boolean as to if the two passed in inversion lists are
     * identical.  The final argument, if TRUE, says to take the complement of
     * the second inversion list before doing the comparison */

    const UV len_a = _invlist_len(a);
    UV len_b = _invlist_len(b);

    const UV* array_a = NULL;
    const UV* array_b = NULL;

    PERL_ARGS_ASSERT__INVLISTEQ;

    /* This code avoids accessing the arrays unless it knows the length is
     * non-zero */

    if (len_a == 0) {
        if (len_b == 0) {
            return ! complement_b;
        }
    }
    else {
        array_a = invlist_array(a);
    }

    if (len_b != 0) {
        array_b = invlist_array(b);
    }

    /* If are to compare 'a' with the complement of b, set it
     * up so are looking at b's complement. */
    if (complement_b) {

        /* The complement of nothing is everything, so <a> would have to have
         * just one element, starting at zero (ending at infinity) */
        if (len_b == 0) {
            return (len_a == 1 && array_a[0] == 0);
        }
        if (array_b[0] == 0) {

            /* Otherwise, to complement, we invert.  Here, the first element is
             * 0, just remove it.  To do this, we just pretend the array starts
             * one later */

            array_b++;
            len_b--;
        }
        else {

            /* But if the first element is not zero, we pretend the list starts
             * at the 0 that is always stored immediately before the array. */
            array_b--;
            len_b++;
        }
    }

    return    len_a == len_b
           && memEQ(array_a, array_b, len_a * sizeof(array_a[0]));

}
#endif

#undef HEADER_LENGTH
#undef TO_INTERNAL_SIZE
#undef FROM_INTERNAL_SIZE
#undef INVLIST_VERSION_ID

/* End of inversion list object */