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1 /* set.c
2
3 The following is a general-purpose set library originally developed
4 by Hank Dietz and enhanced by Terence Parr to allow dynamic sets.
5
6 Sets are now structs containing the #words in the set and
7 a pointer to the actual set words.
8
9 Generally, sets need not be explicitly allocated. They are
10 created/extended/shrunk when appropriate (e.g. in set_of()).
11 HOWEVER, sets need to be destroyed (free()ed) when they go out of scope
12 or are otherwise no longer needed. A routine is provided to
13 free a set.
14
15 Sets can be explicitly created with set_new(s, max_elem).
16
17 Sets can be declared to have minimum size to reduce realloc traffic.
18 Default minimum size = 1.
19
20 Sets can be explicitly initialized to have no elements (set.n == 0)
21 by using the 'empty' initializer:
22
23 Examples:
24 set a = empty; -- set_deg(a) == 0
25
26 return( empty );
27
28 Example set creation and destruction:
29
30 set
31 set_of2(e,g)
32 unsigned e,g;
33 {
34 set a,b,c;
35
36 b = set_of(e); -- Creates space for b and sticks in e
37 set_new(c, g); -- set_new(); set_orel() ==> set_of()
38 set_orel(g, &c);
39 a = set_or(b, c);
40 .
41 .
42 .
43 set_free(b);
44 set_free(c);
45 return( a );
46 }
47
48 1987 by Hank Dietz
49
50 Modified by:
51 Terence Parr
52 Purdue University
53 October 1989
54
55 Made it smell less bad to C++ 7/31/93 -- TJP
56 */
57
58 #include <stdio.h>
59 #include "pcctscfg.h"
60 #ifdef __STDC__
61 #include <stdlib.h>
62 #else
63 #include <malloc.h>
64 #endif
65 #include <string.h>
66
67 #include "set.h"
68
69 #define MIN(i,j) ( (i) > (j) ? (j) : (i))
70 #define MAX(i,j) ( (i) < (j) ? (j) : (i))
71
72 /* elems can be a maximum of 32 bits */
73 static unsigned bitmask[] = {
74 0x00000001, 0x00000002, 0x00000004, 0x00000008,
75 0x00000010, 0x00000020, 0x00000040, 0x00000080,
76 0x00000100, 0x00000200, 0x00000400, 0x00000800,
77 0x00001000, 0x00002000, 0x00004000, 0x00008000,
78 #if !defined(PC) || defined(PC32)
79 0x00010000, 0x00020000, 0x00040000, 0x00080000,
80 0x00100000, 0x00200000, 0x00400000, 0x00800000,
81 0x01000000, 0x02000000, 0x04000000, 0x08000000,
82 0x10000000, 0x20000000, 0x40000000, 0x80000000
83 #endif
84 };
85
86 set empty = set_init;
87 static unsigned min=1;
88
89 #define StrSize 200
90
91 #ifdef MEMCHK
92 #define CHK(a) \
93 if ( a.setword != NULL ) \
94 if ( !valid(a.setword) ) \
95 {fprintf(stderr, "%s(%d): invalid set\n",__FILE__,__LINE__); exit(-1);}
96 #else
97 #define CHK(a)
98 #endif
99
100 /*
101 * Set the minimum size (in words) of a set to reduce realloc calls
102 */
103 void
104 #ifdef __USE_PROTOS
105 set_size( unsigned n )
106 #else
107 set_size( n )
108 unsigned n;
109 #endif
110 {
111 min = n;
112 }
113
114 unsigned int
115 #ifdef __USE_PROTOS
116 set_deg( set a )
117 #else
118 set_deg( a )
119 set a;
120 #endif
121 {
122 /* Fast compute degree of a set... the number
123 of elements present in the set. Assumes
124 that all word bits are used in the set
125 and that SETSIZE(a) is a multiple of WORDSIZE.
126 */
127 register unsigned *p = &(a.setword[0]);
128 register unsigned *endp = NULL; /* MR27 Avoid false memory check report */
129 register unsigned degree = 0;
130
131 CHK(a);
132 if ( a.n == 0 ) return(0);
133 endp = &(a.setword[a.n]);
134 while ( p < endp )
135 {
136 register unsigned t = *p;
137 register unsigned *b = &(bitmask[0]);
138 do {
139 if (t & *b) ++degree;
140 } while (++b < &(bitmask[WORDSIZE]));
141 p++;
142 }
143
144 return(degree);
145 }
146
147 set
148 #ifdef __USE_PROTOS
149 set_or( set b, set c )
150 #else
151 set_or( b, c )
152 set b;
153 set c;
154 #endif
155 {
156 /* Fast set union operation */
157 /* resultant set size is max(b, c); */
158 set *big;
159 set t;
160 unsigned int m,n;
161 register unsigned *r, *p, *q, *endp;
162
163 CHK(b); CHK(c);
164 t = empty;
165 if (b.n > c.n) {big= &b; m=b.n; n=c.n;} else {big= &c; m=c.n; n=b.n;}
166 set_ext(&t, m);
167 r = t.setword;
168
169 /* Or b,c until max of smaller set */
170 q = c.setword;
171 p = b.setword;
172 endp = &(b.setword[n]);
173 while ( p < endp ) *r++ = *p++ | *q++;
174
175 /* Copy rest of bigger set into result */
176 p = &(big->setword[n]);
177 endp = &(big->setword[m]);
178 while ( p < endp ) *r++ = *p++;
179
180 return(t);
181 }
182
183 set
184 #ifdef __USE_PROTOS
185 set_and( set b, set c )
186 #else
187 set_and( b, c )
188 set b;
189 set c;
190 #endif
191 {
192 /* Fast set intersection operation */
193 /* resultant set size is min(b, c); */
194 set t;
195 unsigned int n;
196 register unsigned *r, *p, *q, *endp;
197
198 CHK(b); CHK(c);
199 t = empty;
200 n = (b.n > c.n) ? c.n : b.n;
201 if ( n == 0 ) return t; /* TJP 4-27-92 fixed for empty set */
202 set_ext(&t, n);
203 r = t.setword;
204
205 /* & b,c until max of smaller set */
206 q = c.setword;
207 p = b.setword;
208 endp = &(b.setword[n]);
209 while ( p < endp ) *r++ = *p++ & *q++;
210
211 return(t);
212 }
213
214 set
215 #ifdef __USE_PROTOS
216 set_dif( set b, set c )
217 #else
218 set_dif( b, c )
219 set b;
220 set c;
221 #endif
222 {
223 /* Fast set difference operation b - c */
224 /* resultant set size is size(b) */
225 set t;
226 unsigned int n;
227 register unsigned *r, *p, *q, *endp;
228
229 CHK(b); CHK(c);
230 t = empty;
231 n = (b.n <= c.n) ? b.n : c.n ;
232 if ( b.n == 0 ) return t; /* TJP 4-27-92 fixed for empty set */
233 /* WEC 12-1-92 fixed for c.n = 0 */
234 set_ext(&t, b.n);
235 r = t.setword;
236
237 /* Dif b,c until smaller set size */
238 q = c.setword;
239 p = b.setword;
240 endp = &(b.setword[n]);
241 while ( p < endp ) *r++ = *p++ & (~ *q++);
242
243 /* Copy rest of b into result if size(b) > c */
244 if ( b.n > n )
245 {
246 p = &(b.setword[n]);
247 endp = &(b.setword[b.n]);
248 while ( p < endp ) *r++ = *p++;
249 }
250
251 return(t);
252 }
253
254 set
255 #ifdef __USE_PROTOS
256 set_of( unsigned b )
257 #else
258 set_of( b )
259 unsigned b;
260 #endif
261 {
262 /* Fast singleton set constructor operation */
263 static set a;
264
265 if ( b == nil ) return( empty );
266 set_new(a, b);
267 a.setword[DIVWORD(b)] = bitmask[MODWORD(b)];
268
269 return(a);
270 }
271
272 /*
273 * Extend (or shrink) the set passed in to have n words.
274 *
275 * if n is smaller than the minimum, boost n to have the minimum.
276 * if the new set size is the same as the old one, do nothing.
277 *
278 * TJP 4-27-92 Fixed so won't try to alloc 0 bytes
279 */
280 void
281 #ifdef __USE_PROTOS
282 set_ext( set *a, unsigned int n )
283 #else
284 set_ext( a, n )
285 set *a;
286 unsigned int n;
287 #endif
288 {
289 register unsigned *p;
290 register unsigned *endp;
291 unsigned int size;
292
293 CHK((*a));
294 if ( a->n == 0 )
295 {
296 if ( n == 0 ) return;
297 if (a->setword != NULL) {
298 free (a->setword); /* MR20 */
299 }
300 a->setword = (unsigned *) calloc(n, BytesPerWord);
301 if ( a->setword == NULL )
302 {
303 fprintf(stderr, "set_ext(%d words): cannot allocate set\n", n);
304 exit(-1);
305 }
306 a->n = n;
307 return;
308 }
309 if ( n < min ) n = min;
310 if ( a->n == n || n == 0 ) return;
311 size = a->n;
312 a->n = n;
313 a->setword = (unsigned *) realloc( (char *)a->setword, (n*BytesPerWord) );
314 if ( a->setword == NULL )
315 {
316 fprintf(stderr, "set_ext(%d words): cannot allocate set\n", n);
317 exit(-1);
318 }
319
320 p = &(a->setword[size]); /* clear from old size to new size */
321 endp = &(a->setword[a->n]);
322 do {
323 *p++ = 0;
324 } while ( p < endp );
325 }
326
327 set
328 #ifdef __USE_PROTOS
329 set_not( set a )
330 #else
331 set_not( a )
332 set a;
333 #endif
334 {
335 /* Fast not of set a (assumes all bits used) */
336 /* size of resultant set is size(a) */
337 /* ~empty = empty cause we don't know how bit to make set */
338 set t;
339 register unsigned *r;
340 register unsigned *p = a.setword;
341 register unsigned *endp = &(a.setword[a.n]);
342
343 CHK(a);
344 t = empty;
345 if ( a.n == 0 ) return( empty );
346 set_ext(&t, a.n);
347 r = t.setword;
348
349 do {
350 *r++ = (~ *p++);
351 } while ( p < endp );
352
353 return(t);
354 }
355
356 int
357 #ifdef __USE_PROTOS
358 set_equ( set a, set b )
359 #else
360 set_equ( a, b )
361 set a;
362 set b;
363 #endif
364 {
365 /* 8-Nov-97 Make it work with sets of different sizes */
366 /* Easy to understand, too. Probably faster. */
367 /* Check for a equal to b */
368
369 unsigned int count; /* MR11 */
370 unsigned int i; /* MR11 */
371
372 CHK(a); CHK(b);
373
374 count=MIN(a.n,b.n);
375 if (count == 0) return 1;
376 for (i=0; i < count; i++) {
377 if (a.setword[i] != b.setword[i]) return 0;
378 };
379 if (a.n < b.n) {
380 for (i=count; i < b.n; i++) {
381 if (b.setword[i] != 0) return 0;
382 }
383 return 1;
384 } else if (a.n > b.n) {
385 for (i=count; i < a.n; i++) {
386 if (a.setword[i] != 0) return 0;
387 }
388 return 1;
389 } else {
390 return 1;
391 };
392 }
393
394 int
395 #ifdef __USE_PROTOS
396 set_sub( set a, set b )
397 #else
398 set_sub( a, b )
399 set a;
400 set b;
401 #endif
402 {
403
404 /* 8-Nov-97 Make it work with sets of different sizes */
405 /* Easy to understand, too. Probably faster. */
406 /* Check for a is a PROPER subset of b */
407
408 unsigned int count;
409 unsigned int i;
410
411 CHK(a); CHK(b);
412
413 if (a.n == 0) return 1;
414 count=MIN(a.n,b.n);
415 for (i=0; i < count; i++) {
416 if (a.setword[i] & ~b.setword[i]) return 0;
417 };
418 if (a.n <= b.n) {
419 return 1;
420 } else {
421 for (i=count; i<a.n ; i++) {
422 if (a.setword[i]) return 0;
423 };
424 };
425 return 1;
426 }
427
428 unsigned
429 #ifdef __USE_PROTOS
430 set_int( set b )
431 #else
432 set_int( b )
433 set b;
434 #endif
435 {
436 /* Fast pick any element of the set b */
437 register unsigned *p = b.setword;
438 register unsigned *endp = &(b.setword[b.n]);
439
440 CHK(b);
441 if ( b.n == 0 ) return( nil );
442
443 do {
444 if (*p) {
445 /* Found a non-empty word of the set */
446 register unsigned i = ((p - b.setword) << LogWordSize);
447 register unsigned t = *p;
448 p = &(bitmask[0]);
449 while (!(*p & t)) {
450 ++i; ++p;
451 }
452 return(i);
453 }
454 } while (++p < endp);
455
456 /* Empty -- only element it contains is nil */
457 return(nil);
458 }
459
460 int
461 #ifdef __USE_PROTOS
462 set_el( unsigned b, set a )
463 #else
464 set_el( b, a )
465 unsigned b;
466 set a;
467 #endif
468 {
469 CHK(a);
470 /* nil is an element of every set */
471 if (b == nil) return(1);
472 if ( a.n == 0 || NumWords(b) > a.n ) return(0);
473
474 /* Otherwise, we have to check */
475 return( a.setword[DIVWORD(b)] & bitmask[MODWORD(b)] );
476 }
477
478 int
479 #ifdef __USE_PROTOS
480 set_nil( set a )
481 #else
482 set_nil( a )
483 set a;
484 #endif
485 {
486 /* Fast check for nil set */
487 register unsigned *p = a.setword;
488 register unsigned *endp;
489
490 CHK(a);
491 if ( a.n == 0 ) return(1);
492 endp = &(a.setword[a.n]);
493
494 /* The set is not empty if any word used to store
495 the set is non-zero. This means one must be a
496 bit careful about doing things like negation.
497 */
498 do {
499 if (*p) return(0);
500 } while (++p < endp);
501
502 return(1);
503 }
504
505 char *
506 #ifdef __USE_PROTOS
507 set_str( set a )
508 #else
509 set_str( a )
510 set a;
511 #endif
512 {
513 /* Fast convert set a into ASCII char string...
514 assumes that all word bits are used in the set
515 and that SETSIZE is a multiple of WORDSIZE.
516 Trailing 0 bits are removed from the string.
517 if no bits are on or set is empty, "" is returned.
518 */
519 register unsigned *p = a.setword;
520 register unsigned *endp = &(a.setword[a.n]);
521 static char str_tmp[StrSize+1];
522 register char *q = &(str_tmp[0]);
523
524 CHK(a);
525 if ( a.n==0 ) {*q=0; return( &(str_tmp[0]) );}
526 do {
527 register unsigned t = *p;
528 register unsigned *b = &(bitmask[0]);
529 do {
530 *(q++) = (char) ((t & *b) ? '1' : '0');
531 } while (++b < &(bitmask[WORDSIZE]));
532 } while (++p < endp);
533
534 /* Trim trailing 0s & NULL terminate the string */
535 while ((q > &(str_tmp[0])) && (*(q-1) != '1')) --q;
536 *q = 0;
537
538 return(&(str_tmp[0]));
539 }
540
541 set
542 #ifdef __USE_PROTOS
543 set_val( register char *s )
544 #else
545 set_val( s )
546 register char *s;
547 #endif
548 {
549 /* Fast convert set ASCII char string into a set.
550 If the string ends early, the remaining set bits
551 are all made zero.
552 The resulting set size is just big enough to hold all elements.
553 */
554 static set a;
555 register unsigned *p, *endp;
556
557 set_new(a, strlen(s));
558 p = a.setword;
559 endp = &(a.setword[a.n]);
560 do {
561 register unsigned *b = &(bitmask[0]);
562 /* Start with a word with no bits on */
563 *p = 0;
564 do {
565 if (*s) {
566 if (*s == '1') {
567 /* Turn-on this bit */
568 *p |= *b;
569 }
570 ++s;
571 }
572 } while (++b < &(bitmask[WORDSIZE]));
573 } while (++p < endp);
574
575 return(a);
576 }
577
578 /*
579 * Or element e into set a. a can be empty.
580 */
581 void
582 #ifdef __USE_PROTOS
583 set_orel( unsigned e, set *a )
584 #else
585 set_orel( e, a )
586 unsigned e;
587 set *a;
588 #endif
589 {
590 CHK((*a));
591 if ( e == nil ) return;
592 if ( NumWords(e) > a->n ) set_ext(a, NumWords(e));
593 a->setword[DIVWORD(e)] |= bitmask[MODWORD(e)];
594 }
595
596 /*
597 * Or set b into set a. a can be empty. does nothing if b empty.
598 */
599 void
600 #ifdef __USE_PROTOS
601 set_orin( set *a, set b )
602 #else
603 set_orin( a, b )
604 set *a;
605 set b;
606 #endif
607 {
608 /* Fast set union operation */
609 /* size(a) is max(a, b); */
610 unsigned int m;
611 register unsigned *p,
612 *q = b.setword,
613 *endq; /* MR20 */
614
615 CHK((*a)); CHK(b);
616 if ( b.n == 0 ) return;
617 endq = &(b.setword[b.n]); /* MR20 */
618 m = (a->n > b.n) ? a->n : b.n;
619 set_ext(a, m);
620 p = a->setword;
621 do {
622 *p++ |= *q++;
623 } while ( q < endq );
624 }
625
626 /*
627 * And set b into set a. a can be empty. does nothing if b empty.
628 */
629 void
630 #ifdef __USE_PROTOS
631 set_andin( set *a, set b )
632 #else
633 set_andin( a, b )
634 set *a;
635 set b;
636 #endif
637 {
638 /* Fast set intersection operation */
639 /* size(a) is max(a, b); */
640 unsigned int m;
641 register unsigned *p,
642 *q = b.setword,
643 *endq = &(b.setword[b.n]);
644
645 CHK((*a)); CHK(b);
646 if ( b.n == 0 ) return;
647 m = (a->n > b.n) ? a->n : b.n;
648 set_ext(a, m);
649 p = a->setword;
650 do {
651 *p++ &= *q++;
652 } while ( q < endq );
653 }
654
655 void
656 #ifdef __USE_PROTOS
657 set_rm( unsigned e, set a )
658 #else
659 set_rm( e, a )
660 unsigned e;
661 set a;
662 #endif
663 {
664 /* Does not effect size of set */
665 CHK(a);
666 if ( (e == nil) || (NumWords(e) > a.n) ) return;
667 a.setword[DIVWORD(e)] ^= (a.setword[DIVWORD(e)]&bitmask[MODWORD(e)]);
668 }
669
670 void
671 #ifdef __USE_PROTOS
672 set_clr( set a )
673 #else
674 set_clr( a )
675 set a;
676 #endif
677 {
678 /* Does not effect size of set */
679 register unsigned *p = a.setword;
680 register unsigned *endp;
681
682 CHK(a);
683 if ( a.n == 0 ) return;
684 endp = &(a.setword[a.n]);
685 do {
686 *p++ = 0;
687 } while ( p < endp );
688 }
689
690 set
691 #ifdef __USE_PROTOS
692 set_dup( set a )
693 #else
694 set_dup( a )
695 set a;
696 #endif
697 {
698 set b;
699 register unsigned *p,
700 *q = a.setword,
701 *endq; /* MR20 */
702
703 CHK(a);
704 b = empty;
705 if ( a.n == 0 ) return( empty );
706 endq = &(a.setword[a.n]); /* MR20 */
707 set_ext(&b, a.n);
708 p = b.setword;
709 do {
710 *p++ = *q++;
711 } while ( q < endq );
712
713 return(b);
714 }
715
716 /*
717 * Return a nil terminated list of unsigned ints that represents all
718 * "on" bits in the bit set.
719 *
720 * e.g. {011011} --> {1, 2, 4, 5, nil}
721 *
722 * _set_pdq and set_pdq are useful when an operation is required on each element
723 * of a set. Normally, the sequence is:
724 *
725 * while ( set_deg(a) > 0 ) {
726 * e = set_int(a);
727 * set_rm(e, a);
728 * ...process e...
729 * }
730 * Now,
731 *
732 * t = e = set_pdq(a);
733 * while ( *e != nil ) {
734 * ...process *e...
735 * e++;
736 * }
737 * free( t );
738 *
739 * We have saved many set calls and have not destroyed set a.
740 */
741 void
742 #ifdef __USE_PROTOS
743 _set_pdq( set a, register unsigned *q )
744 #else
745 _set_pdq( a, q )
746 set a;
747 register unsigned *q;
748 #endif
749 {
750 register unsigned *p = a.setword,
751 *endp = &(a.setword[a.n]);
752 register unsigned e=0;
753
754 CHK(a);
755 /* are there any space (possibility of elements)? */
756 if ( a.n == 0 ) return;
757 do {
758 register unsigned t = *p;
759 register unsigned *b = &(bitmask[0]);
760 do {
761 if ( t & *b ) *q++ = e;
762 ++e;
763 } while (++b < &(bitmask[WORDSIZE]));
764 } while (++p < endp);
765 *q = nil;
766 }
767
768 /*
769 * Same as _set_pdq except allocate memory. set_pdq is the natural function
770 * to use.
771 */
772 unsigned *
773 #ifdef __USE_PROTOS
774 set_pdq( set a )
775 #else
776 set_pdq( a )
777 set a;
778 #endif
779 {
780 unsigned *q;
781 int max_deg;
782
783 CHK(a);
784 max_deg = WORDSIZE*a.n;
785 /* assume a.n!=0 & no elements is rare, but still ok */
786 if ( a.n == 0 ) return(NULL);
787 q = (unsigned *) malloc((max_deg+1)*BytesPerWord);
788 if ( q == NULL ) return( NULL );
789 _set_pdq(a, q);
790 return( q );
791 }
792
793 /* a function that produces a hash number for the set
794 */
795 unsigned int
796 #ifdef __USE_PROTOS
797 set_hash( set a, register unsigned int mod )
798 #else
799 set_hash( a, mod )
800 set a;
801 register unsigned int mod;
802 #endif
803 {
804 /* Fast hash of set a (assumes all bits used) */
805 register unsigned *p = &(a.setword[0]);
806 register unsigned *endp = &(a.setword[a.n]);
807 register unsigned i = 0;
808
809 CHK(a);
810 while (p<endp){
811 i += (*p);
812 ++p;
813 }
814
815 return(i % mod);
816 }