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isl_basic_map_involves_dims: double-check divs
[isl.git] / isl_map_subtract.c
blob1fd408683cda56c7e9ae5e1effcb397c51d198d7
1 /*
2 * Copyright 2008-2009 Katholieke Universiteit Leuven
3 *
4 * Use of this software is governed by the GNU LGPLv2.1 license
5 *
6 * Written by Sven Verdoolaege, K.U.Leuven, Departement
7 * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
8 */
9
10 #include <isl_map_private.h>
11 #include <isl/seq.h>
12 #include <isl/set.h>
13 #include <isl/map.h>
14 #include "isl_tab.h"
15 #include <isl_point_private.h>
16
17 static void expand_constraint(isl_vec *v, unsigned dim,
18 isl_int *c, int *div_map, unsigned n_div)
19 {
20 int i;
21
22 isl_seq_cpy(v->el, c, 1 + dim);
23 isl_seq_clr(v->el + 1 + dim, v->size - (1 + dim));
24
25 for (i = 0; i < n_div; ++i)
26 isl_int_set(v->el[1 + dim + div_map[i]], c[1 + dim + i]);
27 }
28
29 /* Add all constraints of bmap to tab. The equalities of bmap
30 * are added as a pair of inequalities.
31 */
32 static int tab_add_constraints(struct isl_tab *tab,
33 __isl_keep isl_basic_map *bmap, int *div_map)
34 {
35 int i;
36 unsigned dim;
37 unsigned tab_total;
38 unsigned bmap_total;
39 isl_vec *v;
40
41 if (!tab || !bmap)
42 return -1;
43
44 tab_total = isl_basic_map_total_dim(tab->bmap);
45 bmap_total = isl_basic_map_total_dim(bmap);
46 dim = isl_space_dim(tab->bmap->dim, isl_dim_all);
47
48 if (isl_tab_extend_cons(tab, 2 * bmap->n_eq + bmap->n_ineq) < 0)
49 return -1;
50
51 v = isl_vec_alloc(bmap->ctx, 1 + tab_total);
52 if (!v)
53 return -1;
54
55 for (i = 0; i < bmap->n_eq; ++i) {
56 expand_constraint(v, dim, bmap->eq[i], div_map, bmap->n_div);
57 if (isl_tab_add_ineq(tab, v->el) < 0)
58 goto error;
59 isl_seq_neg(bmap->eq[i], bmap->eq[i], 1 + bmap_total);
60 expand_constraint(v, dim, bmap->eq[i], div_map, bmap->n_div);
61 if (isl_tab_add_ineq(tab, v->el) < 0)
62 goto error;
63 isl_seq_neg(bmap->eq[i], bmap->eq[i], 1 + bmap_total);
64 if (tab->empty)
65 break;
66 }
67
68 for (i = 0; i < bmap->n_ineq; ++i) {
69 expand_constraint(v, dim, bmap->ineq[i], div_map, bmap->n_div);
70 if (isl_tab_add_ineq(tab, v->el) < 0)
71 goto error;
72 if (tab->empty)
73 break;
74 }
75
76 isl_vec_free(v);
77 return 0;
78 error:
79 isl_vec_free(v);
80 return -1;
81 }
82
83 /* Add a specific constraint of bmap (or its opposite) to tab.
84 * The position of the constraint is specified by "c", where
85 * the equalities of bmap are counted twice, once for the inequality
86 * that is equal to the equality, and once for its negation.
87 */
88 static int tab_add_constraint(struct isl_tab *tab,
89 __isl_keep isl_basic_map *bmap, int *div_map, int c, int oppose)
90 {
91 unsigned dim;
92 unsigned tab_total;
93 unsigned bmap_total;
94 isl_vec *v;
95 int r;
96
97 if (!tab || !bmap)
98 return -1;
99
100 tab_total = isl_basic_map_total_dim(tab->bmap);
101 bmap_total = isl_basic_map_total_dim(bmap);
102 dim = isl_space_dim(tab->bmap->dim, isl_dim_all);
103
104 v = isl_vec_alloc(bmap->ctx, 1 + tab_total);
105 if (!v)
106 return -1;
107
108 if (c < 2 * bmap->n_eq) {
109 if ((c % 2) != oppose)
110 isl_seq_neg(bmap->eq[c/2], bmap->eq[c/2],
111 1 + bmap_total);
112 if (oppose)
113 isl_int_sub_ui(bmap->eq[c/2][0], bmap->eq[c/2][0], 1);
114 expand_constraint(v, dim, bmap->eq[c/2], div_map, bmap->n_div);
115 r = isl_tab_add_ineq(tab, v->el);
116 if (oppose)
117 isl_int_add_ui(bmap->eq[c/2][0], bmap->eq[c/2][0], 1);
118 if ((c % 2) != oppose)
119 isl_seq_neg(bmap->eq[c/2], bmap->eq[c/2],
120 1 + bmap_total);
121 } else {
122 c -= 2 * bmap->n_eq;
123 if (oppose) {
124 isl_seq_neg(bmap->ineq[c], bmap->ineq[c],
125 1 + bmap_total);
126 isl_int_sub_ui(bmap->ineq[c][0], bmap->ineq[c][0], 1);
127 }
128 expand_constraint(v, dim, bmap->ineq[c], div_map, bmap->n_div);
129 r = isl_tab_add_ineq(tab, v->el);
130 if (oppose) {
131 isl_int_add_ui(bmap->ineq[c][0], bmap->ineq[c][0], 1);
132 isl_seq_neg(bmap->ineq[c], bmap->ineq[c],
133 1 + bmap_total);
134 }
135 }
136
137 isl_vec_free(v);
138 return r;
139 }
140
141 static int tab_add_divs(struct isl_tab *tab, __isl_keep isl_basic_map *bmap,
142 int **div_map)
143 {
144 int i, j;
145 struct isl_vec *vec;
146 unsigned total;
147 unsigned dim;
148
149 if (!bmap)
150 return -1;
151 if (!bmap->n_div)
152 return 0;
153
154 if (!*div_map)
155 *div_map = isl_alloc_array(bmap->ctx, int, bmap->n_div);
156 if (!*div_map)
157 return -1;
158
159 total = isl_basic_map_total_dim(tab->bmap);
160 dim = total - tab->bmap->n_div;
161 vec = isl_vec_alloc(bmap->ctx, 2 + total + bmap->n_div);
162 if (!vec)
163 return -1;
164
165 for (i = 0; i < bmap->n_div; ++i) {
166 isl_seq_cpy(vec->el, bmap->div[i], 2 + dim);
167 isl_seq_clr(vec->el + 2 + dim, tab->bmap->n_div);
168 for (j = 0; j < i; ++j)
169 isl_int_set(vec->el[2 + dim + (*div_map)[j]],
170 bmap->div[i][2 + dim + j]);
171 for (j = 0; j < tab->bmap->n_div; ++j)
172 if (isl_seq_eq(tab->bmap->div[j],
173 vec->el, 2 + dim + tab->bmap->n_div))
174 break;
175 (*div_map)[i] = j;
176 if (j == tab->bmap->n_div) {
177 vec->size = 2 + dim + tab->bmap->n_div;
178 if (isl_tab_add_div(tab, vec, NULL, NULL) < 0)
179 goto error;
180 }
181 }
182
183 isl_vec_free(vec);
184
185 return 0;
186 error:
187 isl_vec_free(vec);
188
189 return -1;
190 }
191
192 /* Freeze all constraints of tableau tab.
193 */
194 static int tab_freeze_constraints(struct isl_tab *tab)
195 {
196 int i;
197
198 for (i = 0; i < tab->n_con; ++i)
199 if (isl_tab_freeze_constraint(tab, i) < 0)
200 return -1;
201
202 return 0;
203 }
204
205 /* Check for redundant constraints starting at offset.
206 * Put the indices of the redundant constraints in index
207 * and return the number of redundant constraints.
208 */
209 static int n_non_redundant(isl_ctx *ctx, struct isl_tab *tab,
210 int offset, int **index)
211 {
212 int i, n;
213 int n_test = tab->n_con - offset;
214
215 if (isl_tab_detect_redundant(tab) < 0)
216 return -1;
217
218 if (!*index)
219 *index = isl_alloc_array(ctx, int, n_test);
220 if (!*index)
221 return -1;
222
223 for (n = 0, i = 0; i < n_test; ++i) {
224 int r;
225 r = isl_tab_is_redundant(tab, offset + i);
226 if (r < 0)
227 return -1;
228 if (r)
229 continue;
230 (*index)[n++] = i;
231 }
232
233 return n;
234 }
235
236 /* basic_map_collect_diff calls add on each of the pieces of
237 * the set difference between bmap and map until the add method
238 * return a negative value.
239 */
240 struct isl_diff_collector {
241 int (*add)(struct isl_diff_collector *dc,
242 __isl_take isl_basic_map *bmap);
243 };
244
245 /* Compute the set difference between bmap and map and call
246 * dc->add on each of the piece until this function returns
247 * a negative value.
248 * Return 0 on success and -1 on error. dc->add returning
249 * a negative value is treated as an error, but the calling
250 * function can interpret the results based on the state of dc.
251 *
252 * Assumes that map has known divs.
253 *
254 * The difference is computed by a backtracking algorithm.
255 * Each level corresponds to a basic map in "map".
256 * When a node in entered for the first time, we check
257 * if the corresonding basic map intersects the current piece
258 * of "bmap". If not, we move to the next level.
259 * Otherwise, we split the current piece into as many
260 * pieces as there are non-redundant constraints of the current
261 * basic map in the intersection. Each of these pieces is
262 * handled by a child of the current node.
263 * In particular, if there are n non-redundant constraints,
264 * then for each 0 <= i < n, a piece is cut off by adding
265 * constraints 0 <= j < i and adding the opposite of constraint i.
266 * If there are no non-redundant constraints, meaning that the current
267 * piece is a subset of the current basic map, then we simply backtrack.
268 *
269 * In the leaves, we check if the remaining piece has any integer points
270 * and if so, pass it along to dc->add. As a special case, if nothing
271 * has been removed when we end up in a leaf, we simply pass along
272 * the original basic map.
273 */
274 static int basic_map_collect_diff(__isl_take isl_basic_map *bmap,
275 __isl_take isl_map *map, struct isl_diff_collector *dc)
276 {
277 int i;
278 int modified;
279 int level;
280 int init;
281 int empty;
282 isl_ctx *ctx;
283 struct isl_tab *tab = NULL;
284 struct isl_tab_undo **snap = NULL;
285 int *k = NULL;
286 int *n = NULL;
287 int **index = NULL;
288 int **div_map = NULL;
289
290 empty = isl_basic_map_is_empty(bmap);
291 if (empty) {
292 isl_basic_map_free(bmap);
293 isl_map_free(map);
294 return empty < 0 ? -1 : 0;
295 }
296
297 bmap = isl_basic_map_cow(bmap);
298 map = isl_map_cow(map);
299
300 if (!bmap || !map)
301 goto error;
302
303 ctx = map->ctx;
304 snap = isl_alloc_array(map->ctx, struct isl_tab_undo *, map->n);
305 k = isl_alloc_array(map->ctx, int, map->n);
306 n = isl_alloc_array(map->ctx, int, map->n);
307 index = isl_calloc_array(map->ctx, int *, map->n);
308 div_map = isl_calloc_array(map->ctx, int *, map->n);
309 if (!snap || !k || !n || !index || !div_map)
310 goto error;
311
312 bmap = isl_basic_map_order_divs(bmap);
313 map = isl_map_order_divs(map);
314
315 tab = isl_tab_from_basic_map(bmap);
316 if (isl_tab_track_bmap(tab, isl_basic_map_copy(bmap)) < 0)
317 goto error;
318
319 modified = 0;
320 level = 0;
321 init = 1;
322
323 while (level >= 0) {
324 if (level >= map->n) {
325 int empty;
326 struct isl_basic_map *bm;
327 if (!modified) {
328 if (dc->add(dc, isl_basic_map_copy(bmap)) < 0)
329 goto error;
330 break;
331 }
332 bm = isl_basic_map_copy(tab->bmap);
333 bm = isl_basic_map_cow(bm);
334 bm = isl_basic_map_update_from_tab(bm, tab);
335 bm = isl_basic_map_simplify(bm);
336 bm = isl_basic_map_finalize(bm);
337 empty = isl_basic_map_is_empty(bm);
338 if (empty)
339 isl_basic_map_free(bm);
340 else if (dc->add(dc, bm) < 0)
341 goto error;
342 if (empty < 0)
343 goto error;
344 level--;
345 init = 0;
346 continue;
347 }
348 if (init) {
349 int offset;
350 struct isl_tab_undo *snap2;
351 snap2 = isl_tab_snap(tab);
352 if (tab_add_divs(tab, map->p[level],
353 &div_map[level]) < 0)
354 goto error;
355 offset = tab->n_con;
356 snap[level] = isl_tab_snap(tab);
357 if (tab_freeze_constraints(tab) < 0)
358 goto error;
359 if (tab_add_constraints(tab, map->p[level],
360 div_map[level]) < 0)
361 goto error;
362 k[level] = 0;
363 n[level] = 0;
364 if (tab->empty) {
365 if (isl_tab_rollback(tab, snap2) < 0)
366 goto error;
367 level++;
368 continue;
369 }
370 modified = 1;
371 n[level] = n_non_redundant(ctx, tab, offset,
372 &index[level]);
373 if (n[level] < 0)
374 goto error;
375 if (n[level] == 0) {
376 level--;
377 init = 0;
378 continue;
379 }
380 if (isl_tab_rollback(tab, snap[level]) < 0)
381 goto error;
382 if (tab_add_constraint(tab, map->p[level],
383 div_map[level], index[level][0], 1) < 0)
384 goto error;
385 level++;
386 continue;
387 } else {
388 if (k[level] + 1 >= n[level]) {
389 level--;
390 continue;
391 }
392 if (isl_tab_rollback(tab, snap[level]) < 0)
393 goto error;
394 if (tab_add_constraint(tab, map->p[level],
395 div_map[level],
396 index[level][k[level]], 0) < 0)
397 goto error;
398 snap[level] = isl_tab_snap(tab);
399 k[level]++;
400 if (tab_add_constraint(tab, map->p[level],
401 div_map[level],
402 index[level][k[level]], 1) < 0)
403 goto error;
404 level++;
405 init = 1;
406 continue;
407 }
408 }
409
410 isl_tab_free(tab);
411 free(snap);
412 free(n);
413 free(k);
414 for (i = 0; index && i < map->n; ++i)
415 free(index[i]);
416 free(index);
417 for (i = 0; div_map && i < map->n; ++i)
418 free(div_map[i]);
419 free(div_map);
420
421 isl_basic_map_free(bmap);
422 isl_map_free(map);
423
424 return 0;
425 error:
426 isl_tab_free(tab);
427 free(snap);
428 free(n);
429 free(k);
430 for (i = 0; index && i < map->n; ++i)
431 free(index[i]);
432 free(index);
433 for (i = 0; div_map && i < map->n; ++i)
434 free(div_map[i]);
435 free(div_map);
436 isl_basic_map_free(bmap);
437 isl_map_free(map);
438 return -1;
439 }
440
441 /* A diff collector that actually collects all parts of the
442 * set difference in the field diff.
443 */
444 struct isl_subtract_diff_collector {
445 struct isl_diff_collector dc;
446 struct isl_map *diff;
447 };
448
449 /* isl_subtract_diff_collector callback.
450 */
451 static int basic_map_subtract_add(struct isl_diff_collector *dc,
452 __isl_take isl_basic_map *bmap)
453 {
454 struct isl_subtract_diff_collector *sdc;
455 sdc = (struct isl_subtract_diff_collector *)dc;
456
457 sdc->diff = isl_map_union_disjoint(sdc->diff,
458 isl_map_from_basic_map(bmap));
459
460 return sdc->diff ? 0 : -1;
461 }
462
463 /* Return the set difference between bmap and map.
464 */
465 static __isl_give isl_map *basic_map_subtract(__isl_take isl_basic_map *bmap,
466 __isl_take isl_map *map)
467 {
468 struct isl_subtract_diff_collector sdc;
469 sdc.dc.add = &basic_map_subtract_add;
470 sdc.diff = isl_map_empty_like_basic_map(bmap);
471 if (basic_map_collect_diff(bmap, map, &sdc.dc) < 0) {
472 isl_map_free(sdc.diff);
473 sdc.diff = NULL;
474 }
475 return sdc.diff;
476 }
477
478 /* Return the set difference between map1 and map2.
479 * (U_i A_i) \ (U_j B_j) is computed as U_i (A_i \ (U_j B_j))
480 */
481 static __isl_give isl_map *map_subtract( __isl_take isl_map *map1,
482 __isl_take isl_map *map2)
483 {
484 int i;
485 struct isl_map *diff;
486
487 if (!map1 || !map2)
488 goto error;
489
490 isl_assert(map1->ctx, isl_space_is_equal(map1->dim, map2->dim), goto error);
491
492 if (isl_map_is_empty(map2)) {
493 isl_map_free(map2);
494 return map1;
495 }
496
497 map1 = isl_map_compute_divs(map1);
498 map2 = isl_map_compute_divs(map2);
499 if (!map1 || !map2)
500 goto error;
501
502 map1 = isl_map_remove_empty_parts(map1);
503 map2 = isl_map_remove_empty_parts(map2);
504
505 diff = isl_map_empty_like(map1);
506 for (i = 0; i < map1->n; ++i) {
507 struct isl_map *d;
508 d = basic_map_subtract(isl_basic_map_copy(map1->p[i]),
509 isl_map_copy(map2));
510 if (ISL_F_ISSET(map1, ISL_MAP_DISJOINT))
511 diff = isl_map_union_disjoint(diff, d);
512 else
513 diff = isl_map_union(diff, d);
514 }
515
516 isl_map_free(map1);
517 isl_map_free(map2);
518
519 return diff;
520 error:
521 isl_map_free(map1);
522 isl_map_free(map2);
523 return NULL;
524 }
525
526 __isl_give isl_map *isl_map_subtract( __isl_take isl_map *map1,
527 __isl_take isl_map *map2)
528 {
529 return isl_map_align_params_map_map_and(map1, map2, &map_subtract);
530 }
531
532 struct isl_set *isl_set_subtract(struct isl_set *set1, struct isl_set *set2)
533 {
534 return (struct isl_set *)
535 isl_map_subtract(
536 (struct isl_map *)set1, (struct isl_map *)set2);
537 }
538
539 /* Remove the elements of "dom" from the domain of "map".
540 */
541 static __isl_give isl_map *map_subtract_domain(__isl_take isl_map *map,
542 __isl_take isl_set *dom)
543 {
544 isl_map *ext_dom;
545
546 if (!isl_map_compatible_domain(map, dom))
547 isl_die(isl_set_get_ctx(dom), isl_error_invalid,
548 "incompatible spaces", goto error);
549
550 ext_dom = isl_map_universe(isl_map_get_space(map));
551 ext_dom = isl_map_intersect_domain(ext_dom, dom);
552 return isl_map_subtract(map, ext_dom);
553 error:
554 isl_map_free(map);
555 isl_set_free(dom);
556 return NULL;
557 }
558
559 __isl_give isl_map *isl_map_subtract_domain(__isl_take isl_map *map,
560 __isl_take isl_set *dom)
561 {
562 return isl_map_align_params_map_map_and(map, dom, &map_subtract_domain);
563 }
564
565 /* Remove the elements of "dom" from the range of "map".
566 */
567 static __isl_give isl_map *map_subtract_range(__isl_take isl_map *map,
568 __isl_take isl_set *dom)
569 {
570 isl_map *ext_dom;
571
572 if (!isl_map_compatible_range(map, dom))
573 isl_die(isl_set_get_ctx(dom), isl_error_invalid,
574 "incompatible spaces", goto error);
575
576 ext_dom = isl_map_universe(isl_map_get_space(map));
577 ext_dom = isl_map_intersect_range(ext_dom, dom);
578 return isl_map_subtract(map, ext_dom);
579 error:
580 isl_map_free(map);
581 isl_set_free(dom);
582 return NULL;
583 }
584
585 __isl_give isl_map *isl_map_subtract_range(__isl_take isl_map *map,
586 __isl_take isl_set *dom)
587 {
588 return isl_map_align_params_map_map_and(map, dom, &map_subtract_range);
589 }
590
591 /* A diff collector that aborts as soon as its add function is called,
592 * setting empty to 0.
593 */
594 struct isl_is_empty_diff_collector {
595 struct isl_diff_collector dc;
596 int empty;
597 };
598
599 /* isl_is_empty_diff_collector callback.
600 */
601 static int basic_map_is_empty_add(struct isl_diff_collector *dc,
602 __isl_take isl_basic_map *bmap)
603 {
604 struct isl_is_empty_diff_collector *edc;
605 edc = (struct isl_is_empty_diff_collector *)dc;
606
607 edc->empty = 0;
608
609 isl_basic_map_free(bmap);
610 return -1;
611 }
612
613 /* Check if bmap \ map is empty by computing this set difference
614 * and breaking off as soon as the difference is known to be non-empty.
615 */
616 static int basic_map_diff_is_empty(__isl_keep isl_basic_map *bmap,
617 __isl_keep isl_map *map)
618 {
619 int r;
620 struct isl_is_empty_diff_collector edc;
621
622 r = isl_basic_map_plain_is_empty(bmap);
623 if (r)
624 return r;
625
626 edc.dc.add = &basic_map_is_empty_add;
627 edc.empty = 1;
628 r = basic_map_collect_diff(isl_basic_map_copy(bmap),
629 isl_map_copy(map), &edc.dc);
630 if (!edc.empty)
631 return 0;
632
633 return r < 0 ? -1 : 1;
634 }
635
636 /* Check if map1 \ map2 is empty by checking if the set difference is empty
637 * for each of the basic maps in map1.
638 */
639 static int map_diff_is_empty(__isl_keep isl_map *map1, __isl_keep isl_map *map2)
640 {
641 int i;
642 int is_empty = 1;
643
644 if (!map1 || !map2)
645 return -1;
646
647 for (i = 0; i < map1->n; ++i) {
648 is_empty = basic_map_diff_is_empty(map1->p[i], map2);
649 if (is_empty < 0 || !is_empty)
650 break;
651 }
652
653 return is_empty;
654 }
655
656 /* Return 1 if "bmap" contains a single element.
657 */
658 int isl_basic_map_plain_is_singleton(__isl_keep isl_basic_map *bmap)
659 {
660 if (!bmap)
661 return -1;
662 if (bmap->n_div)
663 return 0;
664 if (bmap->n_ineq)
665 return 0;
666 return bmap->n_eq == isl_basic_map_total_dim(bmap);
667 }
668
669 /* Return 1 if "map" contains a single element.
670 */
671 int isl_map_plain_is_singleton(__isl_keep isl_map *map)
672 {
673 if (!map)
674 return -1;
675 if (map->n != 1)
676 return 0;
677
678 return isl_basic_map_plain_is_singleton(map->p[0]);
679 }
680
681 /* Given a singleton basic map, extract the single element
682 * as an isl_point.
683 */
684 static __isl_give isl_point *singleton_extract_point(
685 __isl_keep isl_basic_map *bmap)
686 {
687 int j;
688 unsigned dim;
689 struct isl_vec *point;
690 isl_int m;
691
692 if (!bmap)
693 return NULL;
694
695 dim = isl_basic_map_total_dim(bmap);
696 isl_assert(bmap->ctx, bmap->n_eq == dim, return NULL);
697 point = isl_vec_alloc(bmap->ctx, 1 + dim);
698 if (!point)
699 return NULL;
700
701 isl_int_init(m);
702
703 isl_int_set_si(point->el[0], 1);
704 for (j = 0; j < bmap->n_eq; ++j) {
705 int i = dim - 1 - j;
706 isl_assert(bmap->ctx,
707 isl_seq_first_non_zero(bmap->eq[j] + 1, i) == -1,
708 goto error);
709 isl_assert(bmap->ctx,
710 isl_int_is_one(bmap->eq[j][1 + i]) ||
711 isl_int_is_negone(bmap->eq[j][1 + i]),
712 goto error);
713 isl_assert(bmap->ctx,
714 isl_seq_first_non_zero(bmap->eq[j]+1+i+1, dim-i-1) == -1,
715 goto error);
716
717 isl_int_gcd(m, point->el[0], bmap->eq[j][1 + i]);
718 isl_int_divexact(m, bmap->eq[j][1 + i], m);
719 isl_int_abs(m, m);
720 isl_seq_scale(point->el, point->el, m, 1 + i);
721 isl_int_divexact(m, point->el[0], bmap->eq[j][1 + i]);
722 isl_int_neg(m, m);
723 isl_int_mul(point->el[1 + i], m, bmap->eq[j][0]);
724 }
725
726 isl_int_clear(m);
727 return isl_point_alloc(isl_basic_map_get_space(bmap), point);
728 error:
729 isl_int_clear(m);
730 isl_vec_free(point);
731 return NULL;
732 }
733
734 /* Return 1 is the singleton map "map1" is a subset of "map2",
735 * i.e., if the single element of "map1" is also an element of "map2".
736 * Assumes "map2" has known divs.
737 */
738 static int map_is_singleton_subset(__isl_keep isl_map *map1,
739 __isl_keep isl_map *map2)
740 {
741 int i;
742 int is_subset = 0;
743 struct isl_point *point;
744
745 if (!map1 || !map2)
746 return -1;
747 if (map1->n != 1)
748 return -1;
749
750 point = singleton_extract_point(map1->p[0]);
751 if (!point)
752 return -1;
753
754 for (i = 0; i < map2->n; ++i) {
755 is_subset = isl_basic_map_contains_point(map2->p[i], point);
756 if (is_subset)
757 break;
758 }
759
760 isl_point_free(point);
761 return is_subset;
762 }
763
764 static int map_is_subset(__isl_keep isl_map *map1, __isl_keep isl_map *map2)
765 {
766 int is_subset = 0;
767
768 if (!map1 || !map2)
769 return -1;
770
771 if (!isl_map_has_equal_space(map1, map2))
772 return 0;
773
774 if (isl_map_is_empty(map1))
775 return 1;
776
777 if (isl_map_is_empty(map2))
778 return 0;
779
780 if (isl_map_plain_is_universe(map2))
781 return 1;
782
783 map2 = isl_map_compute_divs(isl_map_copy(map2));
784 if (isl_map_plain_is_singleton(map1)) {
785 is_subset = map_is_singleton_subset(map1, map2);
786 isl_map_free(map2);
787 return is_subset;
788 }
789 is_subset = map_diff_is_empty(map1, map2);
790 isl_map_free(map2);
791
792 return is_subset;
793 }
794
795 int isl_map_is_subset(__isl_keep isl_map *map1, __isl_keep isl_map *map2)
796 {
797 return isl_map_align_params_map_map_and_test(map1, map2,
798 &map_is_subset);
799 }
800
801 int isl_set_is_subset(struct isl_set *set1, struct isl_set *set2)
802 {
803 return isl_map_is_subset(
804 (struct isl_map *)set1, (struct isl_map *)set2);
805 }
806
807 __isl_give isl_map *isl_map_make_disjoint(__isl_take isl_map *map)
808 {
809 int i;
810 struct isl_subtract_diff_collector sdc;
811 sdc.dc.add = &basic_map_subtract_add;
812
813 if (!map)
814 return NULL;
815 if (ISL_F_ISSET(map, ISL_MAP_DISJOINT))
816 return map;
817 if (map->n <= 1)
818 return map;
819
820 map = isl_map_compute_divs(map);
821 map = isl_map_remove_empty_parts(map);
822
823 if (!map || map->n <= 1)
824 return map;
825
826 sdc.diff = isl_map_from_basic_map(isl_basic_map_copy(map->p[0]));
827
828 for (i = 1; i < map->n; ++i) {
829 struct isl_basic_map *bmap = isl_basic_map_copy(map->p[i]);
830 struct isl_map *copy = isl_map_copy(sdc.diff);
831 if (basic_map_collect_diff(bmap, copy, &sdc.dc) < 0) {
832 isl_map_free(sdc.diff);
833 sdc.diff = NULL;
834 break;
835 }
836 }
837
838 isl_map_free(map);
839
840 return sdc.diff;
841 }
842
843 __isl_give isl_set *isl_set_make_disjoint(__isl_take isl_set *set)
844 {
845 return (struct isl_set *)isl_map_make_disjoint((struct isl_map *)set);
846 }
847
848 __isl_give isl_set *isl_set_complement(__isl_take isl_set *set)
849 {
850 isl_set *universe;
851
852 if (!set)
853 return NULL;
854
855 universe = isl_set_universe(isl_set_get_space(set));
856
857 return isl_set_subtract(universe, set);
858 }
Integer set library