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add isl_basic_map_has_dim_id
[isl.git] / isl_fold.c
blob98a91ae090b5b161c567d3ef19068d95d59f7e51
1 /*
2 * Copyright 2010 INRIA Saclay
3 *
4 * Use of this software is governed by the GNU LGPLv2.1 license
5 *
6 * Written by Sven Verdoolaege, INRIA Saclay - Ile-de-France,
7 * Parc Club Orsay Universite, ZAC des vignes, 4 rue Jacques Monod,
8 * 91893 Orsay, France
9 */
10
11 #define ISL_DIM_H
12 #include <isl_map_private.h>
13 #include <isl_union_map_private.h>
14 #include <isl_polynomial_private.h>
15 #include <isl_point_private.h>
16 #include <isl_space_private.h>
17 #include <isl/lp.h>
18 #include <isl/seq.h>
19 #include <isl_mat_private.h>
20 #include <isl_config.h>
21
22 enum isl_fold isl_fold_type_negate(enum isl_fold type)
23 {
24 switch (type) {
25 case isl_fold_min:
26 return isl_fold_max;
27 case isl_fold_max:
28 return isl_fold_min;
29 case isl_fold_list:
30 return isl_fold_list;
31 }
32
33 isl_die(NULL, isl_error_internal, "unhandled isl_fold type", abort());
34 }
35
36 static __isl_give isl_qpolynomial_fold *qpolynomial_fold_alloc(
37 enum isl_fold type, __isl_take isl_space *dim, int n)
38 {
39 isl_qpolynomial_fold *fold;
40
41 if (!dim)
42 goto error;
43
44 isl_assert(dim->ctx, n >= 0, goto error);
45 fold = isl_calloc(dim->ctx, struct isl_qpolynomial_fold,
46 sizeof(struct isl_qpolynomial_fold) +
47 (n - 1) * sizeof(struct isl_qpolynomial *));
48 if (!fold)
49 goto error;
50
51 fold->ref = 1;
52 fold->size = n;
53 fold->n = 0;
54 fold->type = type;
55 fold->dim = dim;
56
57 return fold;
58 error:
59 isl_space_free(dim);
60 return NULL;
61 }
62
63 isl_ctx *isl_qpolynomial_fold_get_ctx(__isl_keep isl_qpolynomial_fold *fold)
64 {
65 return fold ? fold->dim->ctx : NULL;
66 }
67
68 __isl_give isl_space *isl_qpolynomial_fold_get_domain_space(
69 __isl_keep isl_qpolynomial_fold *fold)
70 {
71 return fold ? isl_space_copy(fold->dim) : NULL;
72 }
73
74 __isl_give isl_space *isl_qpolynomial_fold_get_space(
75 __isl_keep isl_qpolynomial_fold *fold)
76 {
77 isl_space *space;
78 if (!fold)
79 return NULL;
80 space = isl_space_copy(fold->dim);
81 space = isl_space_from_domain(space);
82 space = isl_space_add_dims(space, isl_dim_out, 1);
83 return space;
84 }
85
86 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_reset_domain_space(
87 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_space *dim)
88 {
89 int i;
90
91 fold = isl_qpolynomial_fold_cow(fold);
92 if (!fold || !dim)
93 goto error;
94
95 for (i = 0; i < fold->n; ++i) {
96 fold->qp[i] = isl_qpolynomial_reset_domain_space(fold->qp[i],
97 isl_space_copy(dim));
98 if (!fold->qp[i])
99 goto error;
100 }
101
102 isl_space_free(fold->dim);
103 fold->dim = dim;
104
105 return fold;
106 error:
107 isl_qpolynomial_fold_free(fold);
108 isl_space_free(dim);
109 return NULL;
110 }
111
112 /* Reset the space of "fold". This function is called from isl_pw_templ.c
113 * and doesn't know if the space of an element object is represented
114 * directly or through its domain. It therefore passes along both.
115 */
116 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_reset_space_and_domain(
117 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_space *space,
118 __isl_take isl_space *domain)
119 {
120 isl_space_free(space);
121 return isl_qpolynomial_fold_reset_domain_space(fold, domain);
122 }
123
124 int isl_qpolynomial_fold_involves_dims(__isl_keep isl_qpolynomial_fold *fold,
125 enum isl_dim_type type, unsigned first, unsigned n)
126 {
127 int i;
128
129 if (!fold)
130 return -1;
131 if (fold->n == 0 || n == 0)
132 return 0;
133
134 for (i = 0; i < fold->n; ++i) {
135 int involves = isl_qpolynomial_involves_dims(fold->qp[i],
136 type, first, n);
137 if (involves < 0 || involves)
138 return involves;
139 }
140 return 0;
141 }
142
143 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_set_dim_name(
144 __isl_take isl_qpolynomial_fold *fold,
145 enum isl_dim_type type, unsigned pos, const char *s)
146 {
147 int i;
148
149 fold = isl_qpolynomial_fold_cow(fold);
150 if (!fold)
151 return NULL;
152 fold->dim = isl_space_set_dim_name(fold->dim, type, pos, s);
153 if (!fold->dim)
154 goto error;
155
156 for (i = 0; i < fold->n; ++i) {
157 fold->qp[i] = isl_qpolynomial_set_dim_name(fold->qp[i],
158 type, pos, s);
159 if (!fold->qp[i])
160 goto error;
161 }
162
163 return fold;
164 error:
165 isl_qpolynomial_fold_free(fold);
166 return NULL;
167 }
168
169 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_drop_dims(
170 __isl_take isl_qpolynomial_fold *fold,
171 enum isl_dim_type type, unsigned first, unsigned n)
172 {
173 int i;
174 enum isl_dim_type set_type;
175
176 if (!fold)
177 return NULL;
178 if (n == 0)
179 return fold;
180
181 set_type = type == isl_dim_in ? isl_dim_set : type;
182
183 fold = isl_qpolynomial_fold_cow(fold);
184 if (!fold)
185 return NULL;
186 fold->dim = isl_space_drop_dims(fold->dim, set_type, first, n);
187 if (!fold->dim)
188 goto error;
189
190 for (i = 0; i < fold->n; ++i) {
191 fold->qp[i] = isl_qpolynomial_drop_dims(fold->qp[i],
192 type, first, n);
193 if (!fold->qp[i])
194 goto error;
195 }
196
197 return fold;
198 error:
199 isl_qpolynomial_fold_free(fold);
200 return NULL;
201 }
202
203 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_insert_dims(
204 __isl_take isl_qpolynomial_fold *fold,
205 enum isl_dim_type type, unsigned first, unsigned n)
206 {
207 int i;
208
209 if (!fold)
210 return NULL;
211 if (n == 0 && !isl_space_is_named_or_nested(fold->dim, type))
212 return fold;
213
214 fold = isl_qpolynomial_fold_cow(fold);
215 if (!fold)
216 return NULL;
217 fold->dim = isl_space_insert_dims(fold->dim, type, first, n);
218 if (!fold->dim)
219 goto error;
220
221 for (i = 0; i < fold->n; ++i) {
222 fold->qp[i] = isl_qpolynomial_insert_dims(fold->qp[i],
223 type, first, n);
224 if (!fold->qp[i])
225 goto error;
226 }
227
228 return fold;
229 error:
230 isl_qpolynomial_fold_free(fold);
231 return NULL;
232 }
233
234 static int isl_qpolynomial_cst_sign(__isl_keep isl_qpolynomial *qp)
235 {
236 struct isl_upoly_cst *cst;
237
238 cst = isl_upoly_as_cst(qp->upoly);
239 if (!cst)
240 return 0;
241
242 return isl_int_sgn(cst->n) < 0 ? -1 : 1;
243 }
244
245 static int isl_qpolynomial_aff_sign(__isl_keep isl_set *set,
246 __isl_keep isl_qpolynomial *qp)
247 {
248 enum isl_lp_result res;
249 isl_vec *aff;
250 isl_int opt;
251 int sgn = 0;
252
253 aff = isl_qpolynomial_extract_affine(qp);
254 if (!aff)
255 return 0;
256
257 isl_int_init(opt);
258
259 res = isl_set_solve_lp(set, 0, aff->el + 1, aff->el[0],
260 &opt, NULL, NULL);
261 if (res == isl_lp_error)
262 goto done;
263 if (res == isl_lp_empty ||
264 (res == isl_lp_ok && !isl_int_is_neg(opt))) {
265 sgn = 1;
266 goto done;
267 }
268
269 res = isl_set_solve_lp(set, 1, aff->el + 1, aff->el[0],
270 &opt, NULL, NULL);
271 if (res == isl_lp_ok && !isl_int_is_pos(opt))
272 sgn = -1;
273
274 done:
275 isl_int_clear(opt);
276 isl_vec_free(aff);
277 return sgn;
278 }
279
280 /* Determine, if possible, the sign of the quasipolynomial "qp" on
281 * the domain "set".
282 *
283 * If qp is a constant, then the problem is trivial.
284 * If qp is linear, then we check if the minimum of the corresponding
285 * affine constraint is non-negative or if the maximum is non-positive.
286 *
287 * Otherwise, we check if the outermost variable "v" has a lower bound "l"
288 * in "set". If so, we write qp(v,v') as
289 *
290 * q(v,v') * (v - l) + r(v')
291 *
292 * if q(v,v') and r(v') have the same known sign, then the original
293 * quasipolynomial has the same sign as well.
294 *
295 * Return
296 * -1 if qp <= 0
297 * 1 if qp >= 0
298 * 0 if unknown
299 */
300 static int isl_qpolynomial_sign(__isl_keep isl_set *set,
301 __isl_keep isl_qpolynomial *qp)
302 {
303 int d;
304 int i;
305 int is;
306 struct isl_upoly_rec *rec;
307 isl_vec *v;
308 isl_int l;
309 enum isl_lp_result res;
310 int sgn = 0;
311
312 is = isl_qpolynomial_is_cst(qp, NULL, NULL);
313 if (is < 0)
314 return 0;
315 if (is)
316 return isl_qpolynomial_cst_sign(qp);
317
318 is = isl_qpolynomial_is_affine(qp);
319 if (is < 0)
320 return 0;
321 if (is)
322 return isl_qpolynomial_aff_sign(set, qp);
323
324 if (qp->div->n_row > 0)
325 return 0;
326
327 rec = isl_upoly_as_rec(qp->upoly);
328 if (!rec)
329 return 0;
330
331 d = isl_space_dim(qp->dim, isl_dim_all);
332 v = isl_vec_alloc(set->ctx, 2 + d);
333 if (!v)
334 return 0;
335
336 isl_seq_clr(v->el + 1, 1 + d);
337 isl_int_set_si(v->el[0], 1);
338 isl_int_set_si(v->el[2 + qp->upoly->var], 1);
339
340 isl_int_init(l);
341
342 res = isl_set_solve_lp(set, 0, v->el + 1, v->el[0], &l, NULL, NULL);
343 if (res == isl_lp_ok) {
344 isl_qpolynomial *min;
345 isl_qpolynomial *base;
346 isl_qpolynomial *r, *q;
347 isl_qpolynomial *t;
348
349 min = isl_qpolynomial_cst_on_domain(isl_space_copy(qp->dim), l);
350 base = isl_qpolynomial_var_pow_on_domain(isl_space_copy(qp->dim),
351 qp->upoly->var, 1);
352
353 r = isl_qpolynomial_alloc(isl_space_copy(qp->dim), 0,
354 isl_upoly_copy(rec->p[rec->n - 1]));
355 q = isl_qpolynomial_copy(r);
356
357 for (i = rec->n - 2; i >= 0; --i) {
358 r = isl_qpolynomial_mul(r, isl_qpolynomial_copy(min));
359 t = isl_qpolynomial_alloc(isl_space_copy(qp->dim), 0,
360 isl_upoly_copy(rec->p[i]));
361 r = isl_qpolynomial_add(r, t);
362 if (i == 0)
363 break;
364 q = isl_qpolynomial_mul(q, isl_qpolynomial_copy(base));
365 q = isl_qpolynomial_add(q, isl_qpolynomial_copy(r));
366 }
367
368 if (isl_qpolynomial_is_zero(q))
369 sgn = isl_qpolynomial_sign(set, r);
370 else if (isl_qpolynomial_is_zero(r))
371 sgn = isl_qpolynomial_sign(set, q);
372 else {
373 int sgn_q, sgn_r;
374 sgn_r = isl_qpolynomial_sign(set, r);
375 sgn_q = isl_qpolynomial_sign(set, q);
376 if (sgn_r == sgn_q)
377 sgn = sgn_r;
378 }
379
380 isl_qpolynomial_free(min);
381 isl_qpolynomial_free(base);
382 isl_qpolynomial_free(q);
383 isl_qpolynomial_free(r);
384 }
385
386 isl_int_clear(l);
387
388 isl_vec_free(v);
389
390 return sgn;
391 }
392
393 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_fold_on_domain(
394 __isl_keep isl_set *set,
395 __isl_take isl_qpolynomial_fold *fold1,
396 __isl_take isl_qpolynomial_fold *fold2)
397 {
398 int i, j;
399 int n1;
400 struct isl_qpolynomial_fold *res = NULL;
401 int better;
402
403 if (!fold1 || !fold2)
404 goto error;
405
406 isl_assert(fold1->dim->ctx, fold1->type == fold2->type, goto error);
407 isl_assert(fold1->dim->ctx, isl_space_is_equal(fold1->dim, fold2->dim),
408 goto error);
409
410 better = fold1->type == isl_fold_max ? -1 : 1;
411
412 if (isl_qpolynomial_fold_is_empty(fold1)) {
413 isl_qpolynomial_fold_free(fold1);
414 return fold2;
415 }
416
417 if (isl_qpolynomial_fold_is_empty(fold2)) {
418 isl_qpolynomial_fold_free(fold2);
419 return fold1;
420 }
421
422 res = qpolynomial_fold_alloc(fold1->type, isl_space_copy(fold1->dim),
423 fold1->n + fold2->n);
424 if (!res)
425 goto error;
426
427 for (i = 0; i < fold1->n; ++i) {
428 res->qp[res->n] = isl_qpolynomial_copy(fold1->qp[i]);
429 if (!res->qp[res->n])
430 goto error;
431 res->n++;
432 }
433 n1 = res->n;
434
435 for (i = 0; i < fold2->n; ++i) {
436 for (j = n1 - 1; j >= 0; --j) {
437 isl_qpolynomial *d;
438 int sgn;
439 d = isl_qpolynomial_sub(
440 isl_qpolynomial_copy(res->qp[j]),
441 isl_qpolynomial_copy(fold2->qp[i]));
442 sgn = isl_qpolynomial_sign(set, d);
443 isl_qpolynomial_free(d);
444 if (sgn == 0)
445 continue;
446 if (sgn != better)
447 break;
448 isl_qpolynomial_free(res->qp[j]);
449 if (j != n1 - 1)
450 res->qp[j] = res->qp[n1 - 1];
451 n1--;
452 if (n1 != res->n - 1)
453 res->qp[n1] = res->qp[res->n - 1];
454 res->n--;
455 }
456 if (j >= 0)
457 continue;
458 res->qp[res->n] = isl_qpolynomial_copy(fold2->qp[i]);
459 if (!res->qp[res->n])
460 goto error;
461 res->n++;
462 }
463
464 isl_qpolynomial_fold_free(fold1);
465 isl_qpolynomial_fold_free(fold2);
466
467 return res;
468 error:
469 isl_qpolynomial_fold_free(res);
470 isl_qpolynomial_fold_free(fold1);
471 isl_qpolynomial_fold_free(fold2);
472 return NULL;
473 }
474
475 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_add_qpolynomial(
476 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_qpolynomial *qp)
477 {
478 int i;
479
480 if (!fold || !qp)
481 goto error;
482
483 if (isl_qpolynomial_is_zero(qp)) {
484 isl_qpolynomial_free(qp);
485 return fold;
486 }
487
488 fold = isl_qpolynomial_fold_cow(fold);
489 if (!fold)
490 goto error;
491
492 for (i = 0; i < fold->n; ++i) {
493 fold->qp[i] = isl_qpolynomial_add(fold->qp[i],
494 isl_qpolynomial_copy(qp));
495 if (!fold->qp[i])
496 goto error;
497 }
498
499 isl_qpolynomial_free(qp);
500 return fold;
501 error:
502 isl_qpolynomial_fold_free(fold);
503 isl_qpolynomial_free(qp);
504 return NULL;
505 }
506
507 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_add_on_domain(
508 __isl_keep isl_set *dom,
509 __isl_take isl_qpolynomial_fold *fold1,
510 __isl_take isl_qpolynomial_fold *fold2)
511 {
512 int i;
513 isl_qpolynomial_fold *res = NULL;
514
515 if (!fold1 || !fold2)
516 goto error;
517
518 if (isl_qpolynomial_fold_is_empty(fold1)) {
519 isl_qpolynomial_fold_free(fold1);
520 return fold2;
521 }
522
523 if (isl_qpolynomial_fold_is_empty(fold2)) {
524 isl_qpolynomial_fold_free(fold2);
525 return fold1;
526 }
527
528 if (fold1->n == 1 && fold2->n != 1)
529 return isl_qpolynomial_fold_add_on_domain(dom, fold2, fold1);
530
531 if (fold2->n == 1) {
532 res = isl_qpolynomial_fold_add_qpolynomial(fold1,
533 isl_qpolynomial_copy(fold2->qp[0]));
534 isl_qpolynomial_fold_free(fold2);
535 return res;
536 }
537
538 res = isl_qpolynomial_fold_add_qpolynomial(
539 isl_qpolynomial_fold_copy(fold1),
540 isl_qpolynomial_copy(fold2->qp[0]));
541
542 for (i = 1; i < fold2->n; ++i) {
543 isl_qpolynomial_fold *res_i;
544 res_i = isl_qpolynomial_fold_add_qpolynomial(
545 isl_qpolynomial_fold_copy(fold1),
546 isl_qpolynomial_copy(fold2->qp[i]));
547 res = isl_qpolynomial_fold_fold_on_domain(dom, res, res_i);
548 }
549
550 isl_qpolynomial_fold_free(fold1);
551 isl_qpolynomial_fold_free(fold2);
552 return res;
553 error:
554 isl_qpolynomial_fold_free(res);
555 isl_qpolynomial_fold_free(fold1);
556 isl_qpolynomial_fold_free(fold2);
557 return NULL;
558 }
559
560 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_substitute_equalities(
561 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_basic_set *eq)
562 {
563 int i;
564
565 if (!fold || !eq)
566 goto error;
567
568 fold = isl_qpolynomial_fold_cow(fold);
569 if (!fold)
570 return NULL;
571
572 for (i = 0; i < fold->n; ++i) {
573 fold->qp[i] = isl_qpolynomial_substitute_equalities(fold->qp[i],
574 isl_basic_set_copy(eq));
575 if (!fold->qp[i])
576 goto error;
577 }
578
579 isl_basic_set_free(eq);
580 return fold;
581 error:
582 isl_basic_set_free(eq);
583 isl_qpolynomial_fold_free(fold);
584 return NULL;
585 }
586
587 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_gist(
588 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *context)
589 {
590 int i;
591
592 if (!fold || !context)
593 goto error;
594
595 fold = isl_qpolynomial_fold_cow(fold);
596 if (!fold)
597 return NULL;
598
599 for (i = 0; i < fold->n; ++i) {
600 fold->qp[i] = isl_qpolynomial_gist(fold->qp[i],
601 isl_set_copy(context));
602 if (!fold->qp[i])
603 goto error;
604 }
605
606 isl_set_free(context);
607 return fold;
608 error:
609 isl_set_free(context);
610 isl_qpolynomial_fold_free(fold);
611 return NULL;
612 }
613
614 #define HAS_TYPE
615
616 #undef PW
617 #define PW isl_pw_qpolynomial_fold
618 #undef EL
619 #define EL isl_qpolynomial_fold
620 #undef EL_IS_ZERO
621 #define EL_IS_ZERO is_empty
622 #undef ZERO
623 #define ZERO zero
624 #undef IS_ZERO
625 #define IS_ZERO is_zero
626 #undef FIELD
627 #define FIELD fold
628
629 #define NO_NEG
630
631 #include <isl_pw_templ.c>
632
633 #undef UNION
634 #define UNION isl_union_pw_qpolynomial_fold
635 #undef PART
636 #define PART isl_pw_qpolynomial_fold
637 #undef PARTS
638 #define PARTS pw_qpolynomial_fold
639 #define ALIGN_DOMAIN
640
641 #include <isl_union_templ.c>
642
643 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_empty(enum isl_fold type,
644 __isl_take isl_space *dim)
645 {
646 return qpolynomial_fold_alloc(type, dim, 0);
647 }
648
649 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_alloc(
650 enum isl_fold type, __isl_take isl_qpolynomial *qp)
651 {
652 isl_qpolynomial_fold *fold;
653
654 if (!qp)
655 return NULL;
656
657 fold = qpolynomial_fold_alloc(type, isl_space_copy(qp->dim), 1);
658 if (!fold)
659 goto error;
660
661 fold->qp[0] = qp;
662 fold->n++;
663
664 return fold;
665 error:
666 isl_qpolynomial_fold_free(fold);
667 isl_qpolynomial_free(qp);
668 return NULL;
669 }
670
671 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_copy(
672 __isl_keep isl_qpolynomial_fold *fold)
673 {
674 if (!fold)
675 return NULL;
676
677 fold->ref++;
678 return fold;
679 }
680
681 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_dup(
682 __isl_keep isl_qpolynomial_fold *fold)
683 {
684 int i;
685 isl_qpolynomial_fold *dup;
686
687 if (!fold)
688 return NULL;
689 dup = qpolynomial_fold_alloc(fold->type,
690 isl_space_copy(fold->dim), fold->n);
691 if (!dup)
692 return NULL;
693
694 dup->n = fold->n;
695 for (i = 0; i < fold->n; ++i) {
696 dup->qp[i] = isl_qpolynomial_copy(fold->qp[i]);
697 if (!dup->qp[i])
698 goto error;
699 }
700
701 return dup;
702 error:
703 isl_qpolynomial_fold_free(dup);
704 return NULL;
705 }
706
707 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_cow(
708 __isl_take isl_qpolynomial_fold *fold)
709 {
710 if (!fold)
711 return NULL;
712
713 if (fold->ref == 1)
714 return fold;
715 fold->ref--;
716 return isl_qpolynomial_fold_dup(fold);
717 }
718
719 void isl_qpolynomial_fold_free(__isl_take isl_qpolynomial_fold *fold)
720 {
721 int i;
722
723 if (!fold)
724 return;
725 if (--fold->ref > 0)
726 return;
727
728 for (i = 0; i < fold->n; ++i)
729 isl_qpolynomial_free(fold->qp[i]);
730 isl_space_free(fold->dim);
731 free(fold);
732 }
733
734 int isl_qpolynomial_fold_is_empty(__isl_keep isl_qpolynomial_fold *fold)
735 {
736 if (!fold)
737 return -1;
738
739 return fold->n == 0;
740 }
741
742 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_fold(
743 __isl_take isl_qpolynomial_fold *fold1,
744 __isl_take isl_qpolynomial_fold *fold2)
745 {
746 int i;
747 struct isl_qpolynomial_fold *res = NULL;
748
749 if (!fold1 || !fold2)
750 goto error;
751
752 isl_assert(fold1->dim->ctx, fold1->type == fold2->type, goto error);
753 isl_assert(fold1->dim->ctx, isl_space_is_equal(fold1->dim, fold2->dim),
754 goto error);
755
756 if (isl_qpolynomial_fold_is_empty(fold1)) {
757 isl_qpolynomial_fold_free(fold1);
758 return fold2;
759 }
760
761 if (isl_qpolynomial_fold_is_empty(fold2)) {
762 isl_qpolynomial_fold_free(fold2);
763 return fold1;
764 }
765
766 res = qpolynomial_fold_alloc(fold1->type, isl_space_copy(fold1->dim),
767 fold1->n + fold2->n);
768 if (!res)
769 goto error;
770
771 for (i = 0; i < fold1->n; ++i) {
772 res->qp[res->n] = isl_qpolynomial_copy(fold1->qp[i]);
773 if (!res->qp[res->n])
774 goto error;
775 res->n++;
776 }
777
778 for (i = 0; i < fold2->n; ++i) {
779 res->qp[res->n] = isl_qpolynomial_copy(fold2->qp[i]);
780 if (!res->qp[res->n])
781 goto error;
782 res->n++;
783 }
784
785 isl_qpolynomial_fold_free(fold1);
786 isl_qpolynomial_fold_free(fold2);
787
788 return res;
789 error:
790 isl_qpolynomial_fold_free(res);
791 isl_qpolynomial_fold_free(fold1);
792 isl_qpolynomial_fold_free(fold2);
793 return NULL;
794 }
795
796 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_fold(
797 __isl_take isl_pw_qpolynomial_fold *pw1,
798 __isl_take isl_pw_qpolynomial_fold *pw2)
799 {
800 int i, j, n;
801 struct isl_pw_qpolynomial_fold *res;
802 isl_set *set;
803
804 if (!pw1 || !pw2)
805 goto error;
806
807 isl_assert(pw1->dim->ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
808
809 if (isl_pw_qpolynomial_fold_is_zero(pw1)) {
810 isl_pw_qpolynomial_fold_free(pw1);
811 return pw2;
812 }
813
814 if (isl_pw_qpolynomial_fold_is_zero(pw2)) {
815 isl_pw_qpolynomial_fold_free(pw2);
816 return pw1;
817 }
818
819 if (pw1->type != pw2->type)
820 isl_die(pw1->dim->ctx, isl_error_invalid,
821 "fold types don't match", goto error);
822
823 n = (pw1->n + 1) * (pw2->n + 1);
824 res = isl_pw_qpolynomial_fold_alloc_size(isl_space_copy(pw1->dim),
825 pw1->type, n);
826
827 for (i = 0; i < pw1->n; ++i) {
828 set = isl_set_copy(pw1->p[i].set);
829 for (j = 0; j < pw2->n; ++j) {
830 struct isl_set *common;
831 isl_qpolynomial_fold *sum;
832 set = isl_set_subtract(set,
833 isl_set_copy(pw2->p[j].set));
834 common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
835 isl_set_copy(pw2->p[j].set));
836 if (isl_set_plain_is_empty(common)) {
837 isl_set_free(common);
838 continue;
839 }
840
841 sum = isl_qpolynomial_fold_fold_on_domain(common,
842 isl_qpolynomial_fold_copy(pw1->p[i].fold),
843 isl_qpolynomial_fold_copy(pw2->p[j].fold));
844
845 res = isl_pw_qpolynomial_fold_add_piece(res, common, sum);
846 }
847 res = isl_pw_qpolynomial_fold_add_piece(res, set,
848 isl_qpolynomial_fold_copy(pw1->p[i].fold));
849 }
850
851 for (j = 0; j < pw2->n; ++j) {
852 set = isl_set_copy(pw2->p[j].set);
853 for (i = 0; i < pw1->n; ++i)
854 set = isl_set_subtract(set, isl_set_copy(pw1->p[i].set));
855 res = isl_pw_qpolynomial_fold_add_piece(res, set,
856 isl_qpolynomial_fold_copy(pw2->p[j].fold));
857 }
858
859 isl_pw_qpolynomial_fold_free(pw1);
860 isl_pw_qpolynomial_fold_free(pw2);
861
862 return res;
863 error:
864 isl_pw_qpolynomial_fold_free(pw1);
865 isl_pw_qpolynomial_fold_free(pw2);
866 return NULL;
867 }
868
869 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
870 __isl_take isl_union_pw_qpolynomial_fold *u,
871 __isl_take isl_pw_qpolynomial_fold *part)
872 {
873 uint32_t hash;
874 struct isl_hash_table_entry *entry;
875
876 u = isl_union_pw_qpolynomial_fold_cow(u);
877
878 if (!part || !u)
879 goto error;
880
881 isl_assert(u->dim->ctx, isl_space_match(part->dim, isl_dim_param, u->dim,
882 isl_dim_param), goto error);
883
884 hash = isl_space_get_hash(part->dim);
885 entry = isl_hash_table_find(u->dim->ctx, &u->table, hash,
886 &has_dim, part->dim, 1);
887 if (!entry)
888 goto error;
889
890 if (!entry->data)
891 entry->data = part;
892 else {
893 entry->data = isl_pw_qpolynomial_fold_fold(entry->data,
894 isl_pw_qpolynomial_fold_copy(part));
895 if (!entry->data)
896 goto error;
897 isl_pw_qpolynomial_fold_free(part);
898 }
899
900 return u;
901 error:
902 isl_pw_qpolynomial_fold_free(part);
903 isl_union_pw_qpolynomial_fold_free(u);
904 return NULL;
905 }
906
907 static int fold_part(__isl_take isl_pw_qpolynomial_fold *part, void *user)
908 {
909 isl_union_pw_qpolynomial_fold **u;
910 u = (isl_union_pw_qpolynomial_fold **)user;
911
912 *u = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(*u, part);
913
914 return 0;
915 }
916
917 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold(
918 __isl_take isl_union_pw_qpolynomial_fold *u1,
919 __isl_take isl_union_pw_qpolynomial_fold *u2)
920 {
921 u1 = isl_union_pw_qpolynomial_fold_cow(u1);
922
923 if (!u1 || !u2)
924 goto error;
925
926 if (isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(u2,
927 &fold_part, &u1) < 0)
928 goto error;
929
930 isl_union_pw_qpolynomial_fold_free(u2);
931
932 return u1;
933 error:
934 isl_union_pw_qpolynomial_fold_free(u1);
935 isl_union_pw_qpolynomial_fold_free(u2);
936 return NULL;
937 }
938
939 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_from_pw_qpolynomial(
940 enum isl_fold type, __isl_take isl_pw_qpolynomial *pwqp)
941 {
942 int i;
943 isl_pw_qpolynomial_fold *pwf;
944
945 if (!pwqp)
946 return NULL;
947
948 pwf = isl_pw_qpolynomial_fold_alloc_size(isl_space_copy(pwqp->dim),
949 type, pwqp->n);
950
951 for (i = 0; i < pwqp->n; ++i)
952 pwf = isl_pw_qpolynomial_fold_add_piece(pwf,
953 isl_set_copy(pwqp->p[i].set),
954 isl_qpolynomial_fold_alloc(type,
955 isl_qpolynomial_copy(pwqp->p[i].qp)));
956
957 isl_pw_qpolynomial_free(pwqp);
958
959 return pwf;
960 }
961
962 int isl_qpolynomial_fold_plain_is_equal(__isl_keep isl_qpolynomial_fold *fold1,
963 __isl_keep isl_qpolynomial_fold *fold2)
964 {
965 int i;
966
967 if (!fold1 || !fold2)
968 return -1;
969
970 if (fold1->n != fold2->n)
971 return 0;
972
973 /* We probably want to sort the qps first... */
974 for (i = 0; i < fold1->n; ++i) {
975 int eq = isl_qpolynomial_plain_is_equal(fold1->qp[i], fold2->qp[i]);
976 if (eq < 0 || !eq)
977 return eq;
978 }
979
980 return 1;
981 }
982
983 __isl_give isl_qpolynomial *isl_qpolynomial_fold_eval(
984 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_point *pnt)
985 {
986 isl_qpolynomial *qp;
987
988 if (!fold || !pnt)
989 goto error;
990 isl_assert(pnt->dim->ctx, isl_space_is_equal(pnt->dim, fold->dim), goto error);
991 isl_assert(pnt->dim->ctx,
992 fold->type == isl_fold_max || fold->type == isl_fold_min,
993 goto error);
994
995 if (fold->n == 0)
996 qp = isl_qpolynomial_zero_on_domain(isl_space_copy(fold->dim));
997 else {
998 int i;
999 qp = isl_qpolynomial_eval(isl_qpolynomial_copy(fold->qp[0]),
1000 isl_point_copy(pnt));
1001 for (i = 1; i < fold->n; ++i) {
1002 isl_qpolynomial *qp_i;
1003 qp_i = isl_qpolynomial_eval(
1004 isl_qpolynomial_copy(fold->qp[i]),
1005 isl_point_copy(pnt));
1006 if (fold->type == isl_fold_max)
1007 qp = isl_qpolynomial_max_cst(qp, qp_i);
1008 else
1009 qp = isl_qpolynomial_min_cst(qp, qp_i);
1010 }
1011 }
1012 isl_qpolynomial_fold_free(fold);
1013 isl_point_free(pnt);
1014
1015 return qp;
1016 error:
1017 isl_qpolynomial_fold_free(fold);
1018 isl_point_free(pnt);
1019 return NULL;
1020 }
1021
1022 size_t isl_pw_qpolynomial_fold_size(__isl_keep isl_pw_qpolynomial_fold *pwf)
1023 {
1024 int i;
1025 size_t n = 0;
1026
1027 for (i = 0; i < pwf->n; ++i)
1028 n += pwf->p[i].fold->n;
1029
1030 return n;
1031 }
1032
1033 __isl_give isl_qpolynomial *isl_qpolynomial_fold_opt_on_domain(
1034 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *set, int max)
1035 {
1036 int i;
1037 isl_qpolynomial *opt;
1038
1039 if (!set || !fold)
1040 goto error;
1041
1042 if (fold->n == 0) {
1043 isl_space *dim = isl_space_copy(fold->dim);
1044 isl_set_free(set);
1045 isl_qpolynomial_fold_free(fold);
1046 return isl_qpolynomial_zero_on_domain(dim);
1047 }
1048
1049 opt = isl_qpolynomial_opt_on_domain(isl_qpolynomial_copy(fold->qp[0]),
1050 isl_set_copy(set), max);
1051 for (i = 1; i < fold->n; ++i) {
1052 isl_qpolynomial *opt_i;
1053 opt_i = isl_qpolynomial_opt_on_domain(
1054 isl_qpolynomial_copy(fold->qp[i]),
1055 isl_set_copy(set), max);
1056 if (max)
1057 opt = isl_qpolynomial_max_cst(opt, opt_i);
1058 else
1059 opt = isl_qpolynomial_min_cst(opt, opt_i);
1060 }
1061
1062 isl_set_free(set);
1063 isl_qpolynomial_fold_free(fold);
1064
1065 return opt;
1066 error:
1067 isl_set_free(set);
1068 isl_qpolynomial_fold_free(fold);
1069 return NULL;
1070 }
1071
1072 /* Check whether for each quasi-polynomial in "fold2" there is
1073 * a quasi-polynomial in "fold1" that dominates it on "set".
1074 */
1075 static int qpolynomial_fold_covers_on_domain(__isl_keep isl_set *set,
1076 __isl_keep isl_qpolynomial_fold *fold1,
1077 __isl_keep isl_qpolynomial_fold *fold2)
1078 {
1079 int i, j;
1080 int covers;
1081
1082 if (!set || !fold1 || !fold2)
1083 return -1;
1084
1085 covers = fold1->type == isl_fold_max ? 1 : -1;
1086
1087 for (i = 0; i < fold2->n; ++i) {
1088 for (j = 0; j < fold1->n; ++j) {
1089 isl_qpolynomial *d;
1090 int sgn;
1091
1092 d = isl_qpolynomial_sub(
1093 isl_qpolynomial_copy(fold1->qp[j]),
1094 isl_qpolynomial_copy(fold2->qp[i]));
1095 sgn = isl_qpolynomial_sign(set, d);
1096 isl_qpolynomial_free(d);
1097 if (sgn == covers)
1098 break;
1099 }
1100 if (j >= fold1->n)
1101 return 0;
1102 }
1103
1104 return 1;
1105 }
1106
1107 /* Check whether "pwf1" dominated "pwf2", i.e., the domain of "pwf1" contains
1108 * that of "pwf2" and on each cell, the corresponding fold from pwf1 dominates
1109 * that of pwf2.
1110 */
1111 int isl_pw_qpolynomial_fold_covers(__isl_keep isl_pw_qpolynomial_fold *pwf1,
1112 __isl_keep isl_pw_qpolynomial_fold *pwf2)
1113 {
1114 int i, j;
1115 isl_set *dom1, *dom2;
1116 int is_subset;
1117
1118 if (!pwf1 || !pwf2)
1119 return -1;
1120
1121 if (pwf2->n == 0)
1122 return 1;
1123 if (pwf1->n == 0)
1124 return 0;
1125
1126 dom1 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf1));
1127 dom2 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf2));
1128 is_subset = isl_set_is_subset(dom2, dom1);
1129 isl_set_free(dom1);
1130 isl_set_free(dom2);
1131
1132 if (is_subset < 0 || !is_subset)
1133 return is_subset;
1134
1135 for (i = 0; i < pwf2->n; ++i) {
1136 for (j = 0; j < pwf1->n; ++j) {
1137 int is_empty;
1138 isl_set *common;
1139 int covers;
1140
1141 common = isl_set_intersect(isl_set_copy(pwf1->p[j].set),
1142 isl_set_copy(pwf2->p[i].set));
1143 is_empty = isl_set_is_empty(common);
1144 if (is_empty < 0 || is_empty) {
1145 isl_set_free(common);
1146 if (is_empty < 0)
1147 return -1;
1148 continue;
1149 }
1150 covers = qpolynomial_fold_covers_on_domain(common,
1151 pwf1->p[j].fold, pwf2->p[i].fold);
1152 isl_set_free(common);
1153 if (covers < 0 || !covers)
1154 return covers;
1155 }
1156 }
1157
1158 return 1;
1159 }
1160
1161 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_morph_domain(
1162 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_morph *morph)
1163 {
1164 int i;
1165 isl_ctx *ctx;
1166
1167 if (!fold || !morph)
1168 goto error;
1169
1170 ctx = fold->dim->ctx;
1171 isl_assert(ctx, isl_space_is_equal(fold->dim, morph->dom->dim), goto error);
1172
1173 fold = isl_qpolynomial_fold_cow(fold);
1174 if (!fold)
1175 goto error;
1176
1177 isl_space_free(fold->dim);
1178 fold->dim = isl_space_copy(morph->ran->dim);
1179 if (!fold->dim)
1180 goto error;
1181
1182 for (i = 0; i < fold->n; ++i) {
1183 fold->qp[i] = isl_qpolynomial_morph_domain(fold->qp[i],
1184 isl_morph_copy(morph));
1185 if (!fold->qp[i])
1186 goto error;
1187 }
1188
1189 isl_morph_free(morph);
1190
1191 return fold;
1192 error:
1193 isl_qpolynomial_fold_free(fold);
1194 isl_morph_free(morph);
1195 return NULL;
1196 }
1197
1198 enum isl_fold isl_qpolynomial_fold_get_type(__isl_keep isl_qpolynomial_fold *fold)
1199 {
1200 if (!fold)
1201 return isl_fold_list;
1202 return fold->type;
1203 }
1204
1205 enum isl_fold isl_union_pw_qpolynomial_fold_get_type(
1206 __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1207 {
1208 if (!upwf)
1209 return isl_fold_list;
1210 return upwf->type;
1211 }
1212
1213 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_lift(
1214 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_space *dim)
1215 {
1216 int i;
1217
1218 if (!fold || !dim)
1219 goto error;
1220
1221 if (isl_space_is_equal(fold->dim, dim)) {
1222 isl_space_free(dim);
1223 return fold;
1224 }
1225
1226 fold = isl_qpolynomial_fold_cow(fold);
1227 if (!fold)
1228 goto error;
1229
1230 isl_space_free(fold->dim);
1231 fold->dim = isl_space_copy(dim);
1232 if (!fold->dim)
1233 goto error;
1234
1235 for (i = 0; i < fold->n; ++i) {
1236 fold->qp[i] = isl_qpolynomial_lift(fold->qp[i],
1237 isl_space_copy(dim));
1238 if (!fold->qp[i])
1239 goto error;
1240 }
1241
1242 isl_space_free(dim);
1243
1244 return fold;
1245 error:
1246 isl_qpolynomial_fold_free(fold);
1247 isl_space_free(dim);
1248 return NULL;
1249 }
1250
1251 int isl_qpolynomial_fold_foreach_qpolynomial(
1252 __isl_keep isl_qpolynomial_fold *fold,
1253 int (*fn)(__isl_take isl_qpolynomial *qp, void *user), void *user)
1254 {
1255 int i;
1256
1257 if (!fold)
1258 return -1;
1259
1260 for (i = 0; i < fold->n; ++i)
1261 if (fn(isl_qpolynomial_copy(fold->qp[i]), user) < 0)
1262 return -1;
1263
1264 return 0;
1265 }
1266
1267 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_move_dims(
1268 __isl_take isl_qpolynomial_fold *fold,
1269 enum isl_dim_type dst_type, unsigned dst_pos,
1270 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1271 {
1272 int i;
1273
1274 if (n == 0)
1275 return fold;
1276
1277 fold = isl_qpolynomial_fold_cow(fold);
1278 if (!fold)
1279 return NULL;
1280
1281 fold->dim = isl_space_move_dims(fold->dim, dst_type, dst_pos,
1282 src_type, src_pos, n);
1283 if (!fold->dim)
1284 goto error;
1285
1286 for (i = 0; i < fold->n; ++i) {
1287 fold->qp[i] = isl_qpolynomial_move_dims(fold->qp[i],
1288 dst_type, dst_pos, src_type, src_pos, n);
1289 if (!fold->qp[i])
1290 goto error;
1291 }
1292
1293 return fold;
1294 error:
1295 isl_qpolynomial_fold_free(fold);
1296 return NULL;
1297 }
1298
1299 /* For each 0 <= i < "n", replace variable "first" + i of type "type"
1300 * in fold->qp[k] by subs[i].
1301 */
1302 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_substitute(
1303 __isl_take isl_qpolynomial_fold *fold,
1304 enum isl_dim_type type, unsigned first, unsigned n,
1305 __isl_keep isl_qpolynomial **subs)
1306 {
1307 int i;
1308
1309 if (n == 0)
1310 return fold;
1311
1312 fold = isl_qpolynomial_fold_cow(fold);
1313 if (!fold)
1314 return NULL;
1315
1316 for (i = 0; i < fold->n; ++i) {
1317 fold->qp[i] = isl_qpolynomial_substitute(fold->qp[i],
1318 type, first, n, subs);
1319 if (!fold->qp[i])
1320 goto error;
1321 }
1322
1323 return fold;
1324 error:
1325 isl_qpolynomial_fold_free(fold);
1326 return NULL;
1327 }
1328
1329 static int add_pwqp(__isl_take isl_pw_qpolynomial *pwqp, void *user)
1330 {
1331 isl_ctx *ctx;
1332 isl_pw_qpolynomial_fold *pwf;
1333 isl_union_pw_qpolynomial_fold **upwf;
1334 uint32_t hash;
1335 struct isl_hash_table_entry *entry;
1336
1337 upwf = (isl_union_pw_qpolynomial_fold **)user;
1338
1339 ctx = pwqp->dim->ctx;
1340 hash = isl_space_get_hash(pwqp->dim);
1341 entry = isl_hash_table_find(ctx, &(*upwf)->table,
1342 hash, &has_dim, pwqp->dim, 1);
1343 if (!entry)
1344 goto error;
1345
1346 pwf = isl_pw_qpolynomial_fold_from_pw_qpolynomial((*upwf)->type, pwqp);
1347 if (!entry->data)
1348 entry->data = pwf;
1349 else {
1350 entry->data = isl_pw_qpolynomial_fold_add(entry->data, pwf);
1351 if (!entry->data)
1352 return -1;
1353 if (isl_pw_qpolynomial_fold_is_zero(entry->data)) {
1354 isl_pw_qpolynomial_fold_free(entry->data);
1355 isl_hash_table_remove(ctx, &(*upwf)->table, entry);
1356 }
1357 }
1358
1359 return 0;
1360 error:
1361 isl_pw_qpolynomial_free(pwqp);
1362 return -1;
1363 }
1364
1365 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_add_union_pw_qpolynomial(
1366 __isl_take isl_union_pw_qpolynomial_fold *upwf,
1367 __isl_take isl_union_pw_qpolynomial *upwqp)
1368 {
1369 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1370 isl_union_pw_qpolynomial_get_space(upwqp));
1371 upwqp = isl_union_pw_qpolynomial_align_params(upwqp,
1372 isl_union_pw_qpolynomial_fold_get_space(upwf));
1373
1374 upwf = isl_union_pw_qpolynomial_fold_cow(upwf);
1375 if (!upwf || !upwqp)
1376 goto error;
1377
1378 if (isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &add_pwqp,
1379 &upwf) < 0)
1380 goto error;
1381
1382 isl_union_pw_qpolynomial_free(upwqp);
1383
1384 return upwf;
1385 error:
1386 isl_union_pw_qpolynomial_fold_free(upwf);
1387 isl_union_pw_qpolynomial_free(upwqp);
1388 return NULL;
1389 }
1390
1391 static int join_compatible(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1392 {
1393 int m;
1394 m = isl_space_match(dim1, isl_dim_param, dim2, isl_dim_param);
1395 if (m < 0 || !m)
1396 return m;
1397 return isl_space_tuple_match(dim1, isl_dim_out, dim2, isl_dim_in);
1398 }
1399
1400 /* Compute the intersection of the range of the map and the domain
1401 * of the piecewise quasipolynomial reduction and then compute a bound
1402 * on the associated quasipolynomial reduction over all elements
1403 * in this intersection.
1404 *
1405 * We first introduce some unconstrained dimensions in the
1406 * piecewise quasipolynomial, intersect the resulting domain
1407 * with the wrapped map and the compute the sum.
1408 */
1409 __isl_give isl_pw_qpolynomial_fold *isl_map_apply_pw_qpolynomial_fold(
1410 __isl_take isl_map *map, __isl_take isl_pw_qpolynomial_fold *pwf,
1411 int *tight)
1412 {
1413 isl_ctx *ctx;
1414 isl_set *dom;
1415 isl_space *map_dim;
1416 isl_space *pwf_dim;
1417 unsigned n_in;
1418 int ok;
1419
1420 ctx = isl_map_get_ctx(map);
1421 if (!ctx)
1422 goto error;
1423
1424 map_dim = isl_map_get_space(map);
1425 pwf_dim = isl_pw_qpolynomial_fold_get_space(pwf);
1426 ok = join_compatible(map_dim, pwf_dim);
1427 isl_space_free(map_dim);
1428 isl_space_free(pwf_dim);
1429 if (!ok)
1430 isl_die(ctx, isl_error_invalid, "incompatible dimensions",
1431 goto error);
1432
1433 n_in = isl_map_dim(map, isl_dim_in);
1434 pwf = isl_pw_qpolynomial_fold_insert_dims(pwf, isl_dim_in, 0, n_in);
1435
1436 dom = isl_map_wrap(map);
1437 pwf = isl_pw_qpolynomial_fold_reset_domain_space(pwf,
1438 isl_set_get_space(dom));
1439
1440 pwf = isl_pw_qpolynomial_fold_intersect_domain(pwf, dom);
1441 pwf = isl_pw_qpolynomial_fold_bound(pwf, tight);
1442
1443 return pwf;
1444 error:
1445 isl_map_free(map);
1446 isl_pw_qpolynomial_fold_free(pwf);
1447 return NULL;
1448 }
1449
1450 __isl_give isl_pw_qpolynomial_fold *isl_set_apply_pw_qpolynomial_fold(
1451 __isl_take isl_set *set, __isl_take isl_pw_qpolynomial_fold *pwf,
1452 int *tight)
1453 {
1454 return isl_map_apply_pw_qpolynomial_fold(set, pwf, tight);
1455 }
1456
1457 struct isl_apply_fold_data {
1458 isl_union_pw_qpolynomial_fold *upwf;
1459 isl_union_pw_qpolynomial_fold *res;
1460 isl_map *map;
1461 int tight;
1462 };
1463
1464 static int pw_qpolynomial_fold_apply(__isl_take isl_pw_qpolynomial_fold *pwf,
1465 void *user)
1466 {
1467 isl_space *map_dim;
1468 isl_space *pwf_dim;
1469 struct isl_apply_fold_data *data = user;
1470 int ok;
1471
1472 map_dim = isl_map_get_space(data->map);
1473 pwf_dim = isl_pw_qpolynomial_fold_get_space(pwf);
1474 ok = join_compatible(map_dim, pwf_dim);
1475 isl_space_free(map_dim);
1476 isl_space_free(pwf_dim);
1477
1478 if (ok) {
1479 pwf = isl_map_apply_pw_qpolynomial_fold(isl_map_copy(data->map),
1480 pwf, data->tight ? &data->tight : NULL);
1481 data->res = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
1482 data->res, pwf);
1483 } else
1484 isl_pw_qpolynomial_fold_free(pwf);
1485
1486 return 0;
1487 }
1488
1489 static int map_apply(__isl_take isl_map *map, void *user)
1490 {
1491 struct isl_apply_fold_data *data = user;
1492 int r;
1493
1494 data->map = map;
1495 r = isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(
1496 data->upwf, &pw_qpolynomial_fold_apply, data);
1497
1498 isl_map_free(map);
1499 return r;
1500 }
1501
1502 __isl_give isl_union_pw_qpolynomial_fold *isl_union_map_apply_union_pw_qpolynomial_fold(
1503 __isl_take isl_union_map *umap,
1504 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1505 {
1506 isl_space *dim;
1507 enum isl_fold type;
1508 struct isl_apply_fold_data data;
1509
1510 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1511 isl_union_map_get_space(umap));
1512 umap = isl_union_map_align_params(umap,
1513 isl_union_pw_qpolynomial_fold_get_space(upwf));
1514
1515 data.upwf = upwf;
1516 data.tight = tight ? 1 : 0;
1517 dim = isl_union_pw_qpolynomial_fold_get_space(upwf);
1518 type = isl_union_pw_qpolynomial_fold_get_type(upwf);
1519 data.res = isl_union_pw_qpolynomial_fold_zero(dim, type);
1520 if (isl_union_map_foreach_map(umap, &map_apply, &data) < 0)
1521 goto error;
1522
1523 isl_union_map_free(umap);
1524 isl_union_pw_qpolynomial_fold_free(upwf);
1525
1526 if (tight)
1527 *tight = data.tight;
1528
1529 return data.res;
1530 error:
1531 isl_union_map_free(umap);
1532 isl_union_pw_qpolynomial_fold_free(upwf);
1533 isl_union_pw_qpolynomial_fold_free(data.res);
1534 return NULL;
1535 }
1536
1537 __isl_give isl_union_pw_qpolynomial_fold *isl_union_set_apply_union_pw_qpolynomial_fold(
1538 __isl_take isl_union_set *uset,
1539 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1540 {
1541 return isl_union_map_apply_union_pw_qpolynomial_fold(uset, upwf, tight);
1542 }
1543
1544 /* Reorder the dimension of "fold" according to the given reordering.
1545 */
1546 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_realign_domain(
1547 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_reordering *r)
1548 {
1549 int i;
1550
1551 fold = isl_qpolynomial_fold_cow(fold);
1552 if (!fold || !r)
1553 goto error;
1554
1555 for (i = 0; i < fold->n; ++i) {
1556 fold->qp[i] = isl_qpolynomial_realign_domain(fold->qp[i],
1557 isl_reordering_copy(r));
1558 if (!fold->qp[i])
1559 goto error;
1560 }
1561
1562 fold = isl_qpolynomial_fold_reset_domain_space(fold,
1563 isl_space_copy(r->dim));
1564
1565 isl_reordering_free(r);
1566
1567 return fold;
1568 error:
1569 isl_qpolynomial_fold_free(fold);
1570 isl_reordering_free(r);
1571 return NULL;
1572 }
1573
1574 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_mul_isl_int(
1575 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1576 {
1577 int i;
1578
1579 if (isl_int_is_one(v))
1580 return fold;
1581 if (fold && isl_int_is_zero(v)) {
1582 isl_qpolynomial_fold *zero;
1583 isl_space *dim = isl_space_copy(fold->dim);
1584 zero = isl_qpolynomial_fold_empty(fold->type, dim);
1585 isl_qpolynomial_fold_free(fold);
1586 return zero;
1587 }
1588
1589 fold = isl_qpolynomial_fold_cow(fold);
1590 if (!fold)
1591 return NULL;
1592
1593 if (isl_int_is_neg(v))
1594 fold->type = isl_fold_type_negate(fold->type);
1595 for (i = 0; i < fold->n; ++i) {
1596 fold->qp[i] = isl_qpolynomial_mul_isl_int(fold->qp[i], v);
1597 if (!fold->qp[i])
1598 goto error;
1599 }
1600
1601 return fold;
1602 error:
1603 isl_qpolynomial_fold_free(fold);
1604 return NULL;
1605 }
1606
1607 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_scale(
1608 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1609 {
1610 return isl_qpolynomial_fold_mul_isl_int(fold, v);
1611 }
Integer set library