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1 /* Array bitsets.
2 Copyright (C) 2002, 2003, 2006, 2009 Free Software Foundation, Inc.
3 Contributed by Michael Hayes (m.hayes@elec.canterbury.ac.nz).
4
5 This program is free software: you can redistribute it and/or modify
6 it under the terms of the GNU General Public License as published by
7 the Free Software Foundation, either version 3 of the License, or
8 (at your option) any later version.
9
10 This program is distributed in the hope that it will be useful,
11 but WITHOUT ANY WARRANTY; without even the implied warranty of
12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
13 GNU General Public License for more details.
14
15 You should have received a copy of the GNU General Public License
16 along with this program. If not, see <http://www.gnu.org/licenses/>. */
17
18 #include <config.h>
19
20 #include "abitset.h"
21 #include <stddef.h>
22 #include <stdlib.h>
23 #include <string.h>
24
25 /* This file implements fixed size bitsets stored as an array
26 of words. Any unused bits in the last word must be zero. */
27
28 #define ABITSET_N_WORDS(N) (((N) + BITSET_WORD_BITS - 1) / BITSET_WORD_BITS)
29 #define ABITSET_WORDS(X) ((X)->a.words)
30
31
32 static bitset_bindex
33 abitset_resize (bitset src, bitset_bindex size)
34 {
35 /* These bitsets have a fixed size. */
36 if (BITSET_SIZE_ (src) != size)
37 abort ();
38
39 return size;
40 }
41
42 /* Find list of up to NUM bits set in BSET starting from and including
43 *NEXT and store in array LIST. Return with actual number of bits
44 found and with *NEXT indicating where search stopped. */
45 static bitset_bindex
46 abitset_small_list (bitset src, bitset_bindex *list,
47 bitset_bindex num, bitset_bindex *next)
48 {
49 bitset_bindex bitno;
50 bitset_bindex count;
51 bitset_windex size;
52 bitset_word word;
53
54 word = ABITSET_WORDS (src)[0];
55
56 /* Short circuit common case. */
57 if (!word)
58 return 0;
59
60 size = BITSET_SIZE_ (src);
61 bitno = *next;
62 if (bitno >= size)
63 return 0;
64
65 word >>= bitno;
66
67 /* If num is 1, we could speed things up with a binary search
68 of the word of interest. */
69
70 if (num >= BITSET_WORD_BITS)
71 {
72 for (count = 0; word; bitno++)
73 {
74 if (word & 1)
75 list[count++] = bitno;
76 word >>= 1;
77 }
78 }
79 else
80 {
81 for (count = 0; word; bitno++)
82 {
83 if (word & 1)
84 {
85 list[count++] = bitno;
86 if (count >= num)
87 {
88 bitno++;
89 break;
90 }
91 }
92 word >>= 1;
93 }
94 }
95
96 *next = bitno;
97 return count;
98 }
99
100
101 /* Set bit BITNO in bitset DST. */
102 static void
103 abitset_set (bitset dst ATTRIBUTE_UNUSED, bitset_bindex bitno ATTRIBUTE_UNUSED)
104 {
105 /* This should never occur for abitsets since we should always hit
106 the cache. It is likely someone is trying to access outside the
107 bounds of the bitset. */
108 abort ();
109 }
110
111
112 /* Reset bit BITNO in bitset DST. */
113 static void
114 abitset_reset (bitset dst ATTRIBUTE_UNUSED,
115 bitset_bindex bitno ATTRIBUTE_UNUSED)
116 {
117 /* This should never occur for abitsets since we should always hit
118 the cache. It is likely someone is trying to access outside the
119 bounds of the bitset. Since the bit is zero anyway, let it pass. */
120 }
121
122
123 /* Test bit BITNO in bitset SRC. */
124 static bool
125 abitset_test (bitset src ATTRIBUTE_UNUSED,
126 bitset_bindex bitno ATTRIBUTE_UNUSED)
127 {
128 /* This should never occur for abitsets since we should always
129 hit the cache. */
130 return false;
131 }
132
133
134 /* Find list of up to NUM bits set in BSET in reverse order, starting
135 from and including NEXT and store in array LIST. Return with
136 actual number of bits found and with *NEXT indicating where search
137 stopped. */
138 static bitset_bindex
139 abitset_list_reverse (bitset src, bitset_bindex *list,
140 bitset_bindex num, bitset_bindex *next)
141 {
142 bitset_bindex bitno;
143 bitset_bindex rbitno;
144 bitset_bindex count;
145 bitset_windex windex;
146 unsigned int bitcnt;
147 bitset_bindex bitoff;
148 bitset_word *srcp = ABITSET_WORDS (src);
149 bitset_bindex n_bits = BITSET_SIZE_ (src);
150
151 rbitno = *next;
152
153 /* If num is 1, we could speed things up with a binary search
154 of the word of interest. */
155
156 if (rbitno >= n_bits)
157 return 0;
158
159 count = 0;
160
161 bitno = n_bits - (rbitno + 1);
162
163 windex = bitno / BITSET_WORD_BITS;
164 bitcnt = bitno % BITSET_WORD_BITS;
165 bitoff = windex * BITSET_WORD_BITS;
166
167 do
168 {
169 bitset_word word;
170
171 word = srcp[windex] << (BITSET_WORD_BITS - 1 - bitcnt);
172 for (; word; bitcnt--)
173 {
174 if (word & BITSET_MSB)
175 {
176 list[count++] = bitoff + bitcnt;
177 if (count >= num)
178 {
179 *next = n_bits - (bitoff + bitcnt);
180 return count;
181 }
182 }
183 word <<= 1;
184 }
185 bitoff -= BITSET_WORD_BITS;
186 bitcnt = BITSET_WORD_BITS - 1;
187 }
188 while (windex--);
189
190 *next = n_bits - (bitoff + 1);
191 return count;
192 }
193
194
195 /* Find list of up to NUM bits set in BSET starting from and including
196 *NEXT and store in array LIST. Return with actual number of bits
197 found and with *NEXT indicating where search stopped. */
198 static bitset_bindex
199 abitset_list (bitset src, bitset_bindex *list,
200 bitset_bindex num, bitset_bindex *next)
201 {
202 bitset_bindex bitno;
203 bitset_bindex count;
204 bitset_windex windex;
205 bitset_bindex bitoff;
206 bitset_windex size = src->b.csize;
207 bitset_word *srcp = ABITSET_WORDS (src);
208 bitset_word word;
209
210 bitno = *next;
211
212 count = 0;
213 if (!bitno)
214 {
215 /* Many bitsets are zero, so make this common case fast. */
216 for (windex = 0; windex < size && !srcp[windex]; windex++)
217 continue;
218 if (windex >= size)
219 return 0;
220
221 /* If num is 1, we could speed things up with a binary search
222 of the current word. */
223
224 bitoff = windex * BITSET_WORD_BITS;
225 }
226 else
227 {
228 if (bitno >= BITSET_SIZE_ (src))
229 return 0;
230
231 windex = bitno / BITSET_WORD_BITS;
232 bitno = bitno % BITSET_WORD_BITS;
233
234 if (bitno)
235 {
236 /* Handle the case where we start within a word.
237 Most often, this is executed with large bitsets
238 with many set bits where we filled the array
239 on the previous call to this function. */
240
241 bitoff = windex * BITSET_WORD_BITS;
242 word = srcp[windex] >> bitno;
243 for (bitno = bitoff + bitno; word; bitno++)
244 {
245 if (word & 1)
246 {
247 list[count++] = bitno;
248 if (count >= num)
249 {
250 *next = bitno + 1;
251 return count;
252 }
253 }
254 word >>= 1;
255 }
256 windex++;
257 }
258 bitoff = windex * BITSET_WORD_BITS;
259 }
260
261 for (; windex < size; windex++, bitoff += BITSET_WORD_BITS)
262 {
263 if (!(word = srcp[windex]))
264 continue;
265
266 if ((count + BITSET_WORD_BITS) < num)
267 {
268 for (bitno = bitoff; word; bitno++)
269 {
270 if (word & 1)
271 list[count++] = bitno;
272 word >>= 1;
273 }
274 }
275 else
276 {
277 for (bitno = bitoff; word; bitno++)
278 {
279 if (word & 1)
280 {
281 list[count++] = bitno;
282 if (count >= num)
283 {
284 *next = bitno + 1;
285 return count;
286 }
287 }
288 word >>= 1;
289 }
290 }
291 }
292
293 *next = bitoff;
294 return count;
295 }
296
297
298 /* Ensure that any unused bits within the last word are clear. */
299 static inline void
300 abitset_unused_clear (bitset dst)
301 {
302 unsigned int last_bit;
303
304 last_bit = BITSET_SIZE_ (dst) % BITSET_WORD_BITS;
305 if (last_bit)
306 ABITSET_WORDS (dst)[dst->b.csize - 1] &=
307 ((bitset_word) 1 << last_bit) - 1;
308 }
309
310
311 static void
312 abitset_ones (bitset dst)
313 {
314 bitset_word *dstp = ABITSET_WORDS (dst);
315 size_t bytes;
316
317 bytes = sizeof (bitset_word) * dst->b.csize;
318
319 memset (dstp, -1, bytes);
320 abitset_unused_clear (dst);
321 }
322
323
324 static void
325 abitset_zero (bitset dst)
326 {
327 bitset_word *dstp = ABITSET_WORDS (dst);
328 size_t bytes;
329
330 bytes = sizeof (bitset_word) * dst->b.csize;
331
332 memset (dstp, 0, bytes);
333 }
334
335
336 static bool
337 abitset_empty_p (bitset dst)
338 {
339 bitset_windex i;
340 bitset_word *dstp = ABITSET_WORDS (dst);
341
342 for (i = 0; i < dst->b.csize; i++)
343 if (dstp[i])
344 return false;
345
346 return true;
347 }
348
349
350 static void
351 abitset_copy1 (bitset dst, bitset src)
352 {
353 bitset_word *srcp = ABITSET_WORDS (src);
354 bitset_word *dstp = ABITSET_WORDS (dst);
355 bitset_windex size = dst->b.csize;
356
357 if (srcp == dstp)
358 return;
359 memcpy (dstp, srcp, sizeof (bitset_word) * size);
360 }
361
362
363 static void
364 abitset_not (bitset dst, bitset src)
365 {
366 bitset_windex i;
367 bitset_word *srcp = ABITSET_WORDS (src);
368 bitset_word *dstp = ABITSET_WORDS (dst);
369 bitset_windex size = dst->b.csize;
370
371 for (i = 0; i < size; i++)
372 *dstp++ = ~(*srcp++);
373 abitset_unused_clear (dst);
374 }
375
376
377 static bool
378 abitset_equal_p (bitset dst, bitset src)
379 {
380 bitset_windex i;
381 bitset_word *srcp = ABITSET_WORDS (src);
382 bitset_word *dstp = ABITSET_WORDS (dst);
383 bitset_windex size = dst->b.csize;
384
385 for (i = 0; i < size; i++)
386 if (*srcp++ != *dstp++)
387 return false;
388 return true;
389 }
390
391
392 static bool
393 abitset_subset_p (bitset dst, bitset src)
394 {
395 bitset_windex i;
396 bitset_word *srcp = ABITSET_WORDS (src);
397 bitset_word *dstp = ABITSET_WORDS (dst);
398 bitset_windex size = dst->b.csize;
399
400 for (i = 0; i < size; i++, dstp++, srcp++)
401 if (*dstp != (*srcp | *dstp))
402 return false;
403 return true;
404 }
405
406
407 static bool
408 abitset_disjoint_p (bitset dst, bitset src)
409 {
410 bitset_windex i;
411 bitset_word *srcp = ABITSET_WORDS (src);
412 bitset_word *dstp = ABITSET_WORDS (dst);
413 bitset_windex size = dst->b.csize;
414
415 for (i = 0; i < size; i++)
416 if (*srcp++ & *dstp++)
417 return false;
418
419 return true;
420 }
421
422
423 static void
424 abitset_and (bitset dst, bitset src1, bitset src2)
425 {
426 bitset_windex i;
427 bitset_word *src1p = ABITSET_WORDS (src1);
428 bitset_word *src2p = ABITSET_WORDS (src2);
429 bitset_word *dstp = ABITSET_WORDS (dst);
430 bitset_windex size = dst->b.csize;
431
432 for (i = 0; i < size; i++)
433 *dstp++ = *src1p++ & *src2p++;
434 }
435
436
437 static bool
438 abitset_and_cmp (bitset dst, bitset src1, bitset src2)
439 {
440 bitset_windex i;
441 bool changed = false;
442 bitset_word *src1p = ABITSET_WORDS (src1);
443 bitset_word *src2p = ABITSET_WORDS (src2);
444 bitset_word *dstp = ABITSET_WORDS (dst);
445 bitset_windex size = dst->b.csize;
446
447 for (i = 0; i < size; i++, dstp++)
448 {
449 bitset_word tmp = *src1p++ & *src2p++;
450
451 if (*dstp != tmp)
452 {
453 changed = true;
454 *dstp = tmp;
455 }
456 }
457 return changed;
458 }
459
460
461 static void
462 abitset_andn (bitset dst, bitset src1, bitset src2)
463 {
464 bitset_windex i;
465 bitset_word *src1p = ABITSET_WORDS (src1);
466 bitset_word *src2p = ABITSET_WORDS (src2);
467 bitset_word *dstp = ABITSET_WORDS (dst);
468 bitset_windex size = dst->b.csize;
469
470 for (i = 0; i < size; i++)
471 *dstp++ = *src1p++ & ~(*src2p++);
472 }
473
474
475 static bool
476 abitset_andn_cmp (bitset dst, bitset src1, bitset src2)
477 {
478 bitset_windex i;
479 bool changed = false;
480 bitset_word *src1p = ABITSET_WORDS (src1);
481 bitset_word *src2p = ABITSET_WORDS (src2);
482 bitset_word *dstp = ABITSET_WORDS (dst);
483 bitset_windex size = dst->b.csize;
484
485 for (i = 0; i < size; i++, dstp++)
486 {
487 bitset_word tmp = *src1p++ & ~(*src2p++);
488
489 if (*dstp != tmp)
490 {
491 changed = true;
492 *dstp = tmp;
493 }
494 }
495 return changed;
496 }
497
498
499 static void
500 abitset_or (bitset dst, bitset src1, bitset src2)
501 {
502 bitset_windex i;
503 bitset_word *src1p = ABITSET_WORDS (src1);
504 bitset_word *src2p = ABITSET_WORDS (src2);
505 bitset_word *dstp = ABITSET_WORDS (dst);
506 bitset_windex size = dst->b.csize;
507
508 for (i = 0; i < size; i++)
509 *dstp++ = *src1p++ | *src2p++;
510 }
511
512
513 static bool
514 abitset_or_cmp (bitset dst, bitset src1, bitset src2)
515 {
516 bitset_windex i;
517 bool changed = false;
518 bitset_word *src1p = ABITSET_WORDS (src1);
519 bitset_word *src2p = ABITSET_WORDS (src2);
520 bitset_word *dstp = ABITSET_WORDS (dst);
521 bitset_windex size = dst->b.csize;
522
523 for (i = 0; i < size; i++, dstp++)
524 {
525 bitset_word tmp = *src1p++ | *src2p++;
526
527 if (*dstp != tmp)
528 {
529 changed = true;
530 *dstp = tmp;
531 }
532 }
533 return changed;
534 }
535
536
537 static void
538 abitset_xor (bitset dst, bitset src1, bitset src2)
539 {
540 bitset_windex i;
541 bitset_word *src1p = ABITSET_WORDS (src1);
542 bitset_word *src2p = ABITSET_WORDS (src2);
543 bitset_word *dstp = ABITSET_WORDS (dst);
544 bitset_windex size = dst->b.csize;
545
546 for (i = 0; i < size; i++)
547 *dstp++ = *src1p++ ^ *src2p++;
548 }
549
550
551 static bool
552 abitset_xor_cmp (bitset dst, bitset src1, bitset src2)
553 {
554 bitset_windex i;
555 bool changed = false;
556 bitset_word *src1p = ABITSET_WORDS (src1);
557 bitset_word *src2p = ABITSET_WORDS (src2);
558 bitset_word *dstp = ABITSET_WORDS (dst);
559 bitset_windex size = dst->b.csize;
560
561 for (i = 0; i < size; i++, dstp++)
562 {
563 bitset_word tmp = *src1p++ ^ *src2p++;
564
565 if (*dstp != tmp)
566 {
567 changed = true;
568 *dstp = tmp;
569 }
570 }
571 return changed;
572 }
573
574
575 static void
576 abitset_and_or (bitset dst, bitset src1, bitset src2, bitset src3)
577 {
578 bitset_windex i;
579 bitset_word *src1p = ABITSET_WORDS (src1);
580 bitset_word *src2p = ABITSET_WORDS (src2);
581 bitset_word *src3p = ABITSET_WORDS (src3);
582 bitset_word *dstp = ABITSET_WORDS (dst);
583 bitset_windex size = dst->b.csize;
584
585 for (i = 0; i < size; i++)
586 *dstp++ = (*src1p++ & *src2p++) | *src3p++;
587 }
588
589
590 static bool
591 abitset_and_or_cmp (bitset dst, bitset src1, bitset src2, bitset src3)
592 {
593 bitset_windex i;
594 bool changed = false;
595 bitset_word *src1p = ABITSET_WORDS (src1);
596 bitset_word *src2p = ABITSET_WORDS (src2);
597 bitset_word *src3p = ABITSET_WORDS (src3);
598 bitset_word *dstp = ABITSET_WORDS (dst);
599 bitset_windex size = dst->b.csize;
600
601 for (i = 0; i < size; i++, dstp++)
602 {
603 bitset_word tmp = (*src1p++ & *src2p++) | *src3p++;
604
605 if (*dstp != tmp)
606 {
607 changed = true;
608 *dstp = tmp;
609 }
610 }
611 return changed;
612 }
613
614
615 static void
616 abitset_andn_or (bitset dst, bitset src1, bitset src2, bitset src3)
617 {
618 bitset_windex i;
619 bitset_word *src1p = ABITSET_WORDS (src1);
620 bitset_word *src2p = ABITSET_WORDS (src2);
621 bitset_word *src3p = ABITSET_WORDS (src3);
622 bitset_word *dstp = ABITSET_WORDS (dst);
623 bitset_windex size = dst->b.csize;
624
625 for (i = 0; i < size; i++)
626 *dstp++ = (*src1p++ & ~(*src2p++)) | *src3p++;
627 }
628
629
630 static bool
631 abitset_andn_or_cmp (bitset dst, bitset src1, bitset src2, bitset src3)
632 {
633 bitset_windex i;
634 bool changed = false;
635 bitset_word *src1p = ABITSET_WORDS (src1);
636 bitset_word *src2p = ABITSET_WORDS (src2);
637 bitset_word *src3p = ABITSET_WORDS (src3);
638 bitset_word *dstp = ABITSET_WORDS (dst);
639 bitset_windex size = dst->b.csize;
640
641 for (i = 0; i < size; i++, dstp++)
642 {
643 bitset_word tmp = (*src1p++ & ~(*src2p++)) | *src3p++;
644
645 if (*dstp != tmp)
646 {
647 changed = true;
648 *dstp = tmp;
649 }
650 }
651 return changed;
652 }
653
654
655 static void
656 abitset_or_and (bitset dst, bitset src1, bitset src2, bitset src3)
657 {
658 bitset_windex i;
659 bitset_word *src1p = ABITSET_WORDS (src1);
660 bitset_word *src2p = ABITSET_WORDS (src2);
661 bitset_word *src3p = ABITSET_WORDS (src3);
662 bitset_word *dstp = ABITSET_WORDS (dst);
663 bitset_windex size = dst->b.csize;
664
665 for (i = 0; i < size; i++)
666 *dstp++ = (*src1p++ | *src2p++) & *src3p++;
667 }
668
669
670 static bool
671 abitset_or_and_cmp (bitset dst, bitset src1, bitset src2, bitset src3)
672 {
673 bitset_windex i;
674 bool changed = false;
675 bitset_word *src1p = ABITSET_WORDS (src1);
676 bitset_word *src2p = ABITSET_WORDS (src2);
677 bitset_word *src3p = ABITSET_WORDS (src3);
678 bitset_word *dstp = ABITSET_WORDS (dst);
679 bitset_windex size = dst->b.csize;
680
681 for (i = 0; i < size; i++, dstp++)
682 {
683 bitset_word tmp = (*src1p++ | *src2p++) & *src3p++;
684
685 if (*dstp != tmp)
686 {
687 changed = true;
688 *dstp = tmp;
689 }
690 }
691 return changed;
692 }
693
694
695 static void
696 abitset_copy (bitset dst, bitset src)
697 {
698 if (BITSET_COMPATIBLE_ (dst, src))
699 abitset_copy1 (dst, src);
700 else
701 bitset_copy_ (dst, src);
702 }
703
704
705 /* Vector of operations for single word bitsets. */
706 struct bitset_vtable abitset_small_vtable = {
707 abitset_set,
708 abitset_reset,
709 bitset_toggle_,
710 abitset_test,
711 abitset_resize,
712 bitset_size_,
713 bitset_count_,
714 abitset_empty_p,
715 abitset_ones,
716 abitset_zero,
717 abitset_copy,
718 abitset_disjoint_p,
719 abitset_equal_p,
720 abitset_not,
721 abitset_subset_p,
722 abitset_and,
723 abitset_and_cmp,
724 abitset_andn,
725 abitset_andn_cmp,
726 abitset_or,
727 abitset_or_cmp,
728 abitset_xor,
729 abitset_xor_cmp,
730 abitset_and_or,
731 abitset_and_or_cmp,
732 abitset_andn_or,
733 abitset_andn_or_cmp,
734 abitset_or_and,
735 abitset_or_and_cmp,
736 abitset_small_list,
737 abitset_list_reverse,
738 NULL,
739 BITSET_ARRAY
740 };
741
742
743 /* Vector of operations for multiple word bitsets. */
744 struct bitset_vtable abitset_vtable = {
745 abitset_set,
746 abitset_reset,
747 bitset_toggle_,
748 abitset_test,
749 abitset_resize,
750 bitset_size_,
751 bitset_count_,
752 abitset_empty_p,
753 abitset_ones,
754 abitset_zero,
755 abitset_copy,
756 abitset_disjoint_p,
757 abitset_equal_p,
758 abitset_not,
759 abitset_subset_p,
760 abitset_and,
761 abitset_and_cmp,
762 abitset_andn,
763 abitset_andn_cmp,
764 abitset_or,
765 abitset_or_cmp,
766 abitset_xor,
767 abitset_xor_cmp,
768 abitset_and_or,
769 abitset_and_or_cmp,
770 abitset_andn_or,
771 abitset_andn_or_cmp,
772 abitset_or_and,
773 abitset_or_and_cmp,
774 abitset_list,
775 abitset_list_reverse,
776 NULL,
777 BITSET_ARRAY
778 };
779
780
781 size_t
782 abitset_bytes (bitset_bindex n_bits)
783 {
784 bitset_windex size;
785 size_t bytes;
786 size_t header_size = offsetof (union bitset_union, a.words);
787 struct bitset_align_struct { char a; union bitset_union b; };
788 size_t bitset_alignment = offsetof (struct bitset_align_struct, b);
789
790 size = ABITSET_N_WORDS (n_bits);
791 bytes = header_size + size * sizeof (bitset_word);
792
793 /* Align the size properly for a vector of abitset objects. */
794 if (header_size % bitset_alignment != 0
795 || sizeof (bitset_word) % bitset_alignment != 0)
796 {
797 bytes += bitset_alignment - 1;
798 bytes -= bytes % bitset_alignment;
799 }
800
801 return bytes;
802 }
803
804
805 bitset
806 abitset_init (bitset bset, bitset_bindex n_bits)
807 {
808 bitset_windex size;
809
810 size = ABITSET_N_WORDS (n_bits);
811 BITSET_NBITS_ (bset) = n_bits;
812
813 /* Use optimized routines if bitset fits within a single word.
814 There is probably little merit if using caching since
815 the small bitset will always fit in the cache. */
816 if (size == 1)
817 bset->b.vtable = &abitset_small_vtable;
818 else
819 bset->b.vtable = &abitset_vtable;
820
821 bset->b.cindex = 0;
822 bset->b.csize = size;
823 bset->b.cdata = ABITSET_WORDS (bset);
824 return bset;
825 }