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Merge branch 'maint'
[isl.git] / isl_fold.c
blob699232654bc4a6445333fab8a50bd994eb85f138
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 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_gist_params(
615 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *context)
616 {
617 isl_space *space = isl_qpolynomial_fold_get_domain_space(fold);
618 isl_set *dom_context = isl_set_universe(space);
619 dom_context = isl_set_intersect_params(dom_context, context);
620 return isl_qpolynomial_fold_gist(fold, dom_context);
621 }
622
623 #define HAS_TYPE
624
625 #undef PW
626 #define PW isl_pw_qpolynomial_fold
627 #undef EL
628 #define EL isl_qpolynomial_fold
629 #undef EL_IS_ZERO
630 #define EL_IS_ZERO is_empty
631 #undef ZERO
632 #define ZERO zero
633 #undef IS_ZERO
634 #define IS_ZERO is_zero
635 #undef FIELD
636 #define FIELD fold
637
638 #define NO_NEG
639
640 #include <isl_pw_templ.c>
641
642 #undef UNION
643 #define UNION isl_union_pw_qpolynomial_fold
644 #undef PART
645 #define PART isl_pw_qpolynomial_fold
646 #undef PARTS
647 #define PARTS pw_qpolynomial_fold
648 #define ALIGN_DOMAIN
649
650 #include <isl_union_templ.c>
651
652 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_empty(enum isl_fold type,
653 __isl_take isl_space *dim)
654 {
655 return qpolynomial_fold_alloc(type, dim, 0);
656 }
657
658 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_alloc(
659 enum isl_fold type, __isl_take isl_qpolynomial *qp)
660 {
661 isl_qpolynomial_fold *fold;
662
663 if (!qp)
664 return NULL;
665
666 fold = qpolynomial_fold_alloc(type, isl_space_copy(qp->dim), 1);
667 if (!fold)
668 goto error;
669
670 fold->qp[0] = qp;
671 fold->n++;
672
673 return fold;
674 error:
675 isl_qpolynomial_fold_free(fold);
676 isl_qpolynomial_free(qp);
677 return NULL;
678 }
679
680 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_copy(
681 __isl_keep isl_qpolynomial_fold *fold)
682 {
683 if (!fold)
684 return NULL;
685
686 fold->ref++;
687 return fold;
688 }
689
690 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_dup(
691 __isl_keep isl_qpolynomial_fold *fold)
692 {
693 int i;
694 isl_qpolynomial_fold *dup;
695
696 if (!fold)
697 return NULL;
698 dup = qpolynomial_fold_alloc(fold->type,
699 isl_space_copy(fold->dim), fold->n);
700 if (!dup)
701 return NULL;
702
703 dup->n = fold->n;
704 for (i = 0; i < fold->n; ++i) {
705 dup->qp[i] = isl_qpolynomial_copy(fold->qp[i]);
706 if (!dup->qp[i])
707 goto error;
708 }
709
710 return dup;
711 error:
712 isl_qpolynomial_fold_free(dup);
713 return NULL;
714 }
715
716 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_cow(
717 __isl_take isl_qpolynomial_fold *fold)
718 {
719 if (!fold)
720 return NULL;
721
722 if (fold->ref == 1)
723 return fold;
724 fold->ref--;
725 return isl_qpolynomial_fold_dup(fold);
726 }
727
728 void isl_qpolynomial_fold_free(__isl_take isl_qpolynomial_fold *fold)
729 {
730 int i;
731
732 if (!fold)
733 return;
734 if (--fold->ref > 0)
735 return;
736
737 for (i = 0; i < fold->n; ++i)
738 isl_qpolynomial_free(fold->qp[i]);
739 isl_space_free(fold->dim);
740 free(fold);
741 }
742
743 int isl_qpolynomial_fold_is_empty(__isl_keep isl_qpolynomial_fold *fold)
744 {
745 if (!fold)
746 return -1;
747
748 return fold->n == 0;
749 }
750
751 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_fold(
752 __isl_take isl_qpolynomial_fold *fold1,
753 __isl_take isl_qpolynomial_fold *fold2)
754 {
755 int i;
756 struct isl_qpolynomial_fold *res = NULL;
757
758 if (!fold1 || !fold2)
759 goto error;
760
761 isl_assert(fold1->dim->ctx, fold1->type == fold2->type, goto error);
762 isl_assert(fold1->dim->ctx, isl_space_is_equal(fold1->dim, fold2->dim),
763 goto error);
764
765 if (isl_qpolynomial_fold_is_empty(fold1)) {
766 isl_qpolynomial_fold_free(fold1);
767 return fold2;
768 }
769
770 if (isl_qpolynomial_fold_is_empty(fold2)) {
771 isl_qpolynomial_fold_free(fold2);
772 return fold1;
773 }
774
775 res = qpolynomial_fold_alloc(fold1->type, isl_space_copy(fold1->dim),
776 fold1->n + fold2->n);
777 if (!res)
778 goto error;
779
780 for (i = 0; i < fold1->n; ++i) {
781 res->qp[res->n] = isl_qpolynomial_copy(fold1->qp[i]);
782 if (!res->qp[res->n])
783 goto error;
784 res->n++;
785 }
786
787 for (i = 0; i < fold2->n; ++i) {
788 res->qp[res->n] = isl_qpolynomial_copy(fold2->qp[i]);
789 if (!res->qp[res->n])
790 goto error;
791 res->n++;
792 }
793
794 isl_qpolynomial_fold_free(fold1);
795 isl_qpolynomial_fold_free(fold2);
796
797 return res;
798 error:
799 isl_qpolynomial_fold_free(res);
800 isl_qpolynomial_fold_free(fold1);
801 isl_qpolynomial_fold_free(fold2);
802 return NULL;
803 }
804
805 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_fold(
806 __isl_take isl_pw_qpolynomial_fold *pw1,
807 __isl_take isl_pw_qpolynomial_fold *pw2)
808 {
809 int i, j, n;
810 struct isl_pw_qpolynomial_fold *res;
811 isl_set *set;
812
813 if (!pw1 || !pw2)
814 goto error;
815
816 isl_assert(pw1->dim->ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
817
818 if (isl_pw_qpolynomial_fold_is_zero(pw1)) {
819 isl_pw_qpolynomial_fold_free(pw1);
820 return pw2;
821 }
822
823 if (isl_pw_qpolynomial_fold_is_zero(pw2)) {
824 isl_pw_qpolynomial_fold_free(pw2);
825 return pw1;
826 }
827
828 if (pw1->type != pw2->type)
829 isl_die(pw1->dim->ctx, isl_error_invalid,
830 "fold types don't match", goto error);
831
832 n = (pw1->n + 1) * (pw2->n + 1);
833 res = isl_pw_qpolynomial_fold_alloc_size(isl_space_copy(pw1->dim),
834 pw1->type, n);
835
836 for (i = 0; i < pw1->n; ++i) {
837 set = isl_set_copy(pw1->p[i].set);
838 for (j = 0; j < pw2->n; ++j) {
839 struct isl_set *common;
840 isl_qpolynomial_fold *sum;
841 set = isl_set_subtract(set,
842 isl_set_copy(pw2->p[j].set));
843 common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
844 isl_set_copy(pw2->p[j].set));
845 if (isl_set_plain_is_empty(common)) {
846 isl_set_free(common);
847 continue;
848 }
849
850 sum = isl_qpolynomial_fold_fold_on_domain(common,
851 isl_qpolynomial_fold_copy(pw1->p[i].fold),
852 isl_qpolynomial_fold_copy(pw2->p[j].fold));
853
854 res = isl_pw_qpolynomial_fold_add_piece(res, common, sum);
855 }
856 res = isl_pw_qpolynomial_fold_add_piece(res, set,
857 isl_qpolynomial_fold_copy(pw1->p[i].fold));
858 }
859
860 for (j = 0; j < pw2->n; ++j) {
861 set = isl_set_copy(pw2->p[j].set);
862 for (i = 0; i < pw1->n; ++i)
863 set = isl_set_subtract(set, isl_set_copy(pw1->p[i].set));
864 res = isl_pw_qpolynomial_fold_add_piece(res, set,
865 isl_qpolynomial_fold_copy(pw2->p[j].fold));
866 }
867
868 isl_pw_qpolynomial_fold_free(pw1);
869 isl_pw_qpolynomial_fold_free(pw2);
870
871 return res;
872 error:
873 isl_pw_qpolynomial_fold_free(pw1);
874 isl_pw_qpolynomial_fold_free(pw2);
875 return NULL;
876 }
877
878 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
879 __isl_take isl_union_pw_qpolynomial_fold *u,
880 __isl_take isl_pw_qpolynomial_fold *part)
881 {
882 uint32_t hash;
883 struct isl_hash_table_entry *entry;
884
885 u = isl_union_pw_qpolynomial_fold_cow(u);
886
887 if (!part || !u)
888 goto error;
889
890 isl_assert(u->dim->ctx, isl_space_match(part->dim, isl_dim_param, u->dim,
891 isl_dim_param), goto error);
892
893 hash = isl_space_get_hash(part->dim);
894 entry = isl_hash_table_find(u->dim->ctx, &u->table, hash,
895 &has_dim, part->dim, 1);
896 if (!entry)
897 goto error;
898
899 if (!entry->data)
900 entry->data = part;
901 else {
902 entry->data = isl_pw_qpolynomial_fold_fold(entry->data,
903 isl_pw_qpolynomial_fold_copy(part));
904 if (!entry->data)
905 goto error;
906 isl_pw_qpolynomial_fold_free(part);
907 }
908
909 return u;
910 error:
911 isl_pw_qpolynomial_fold_free(part);
912 isl_union_pw_qpolynomial_fold_free(u);
913 return NULL;
914 }
915
916 static int fold_part(__isl_take isl_pw_qpolynomial_fold *part, void *user)
917 {
918 isl_union_pw_qpolynomial_fold **u;
919 u = (isl_union_pw_qpolynomial_fold **)user;
920
921 *u = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(*u, part);
922
923 return 0;
924 }
925
926 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold(
927 __isl_take isl_union_pw_qpolynomial_fold *u1,
928 __isl_take isl_union_pw_qpolynomial_fold *u2)
929 {
930 u1 = isl_union_pw_qpolynomial_fold_cow(u1);
931
932 if (!u1 || !u2)
933 goto error;
934
935 if (isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(u2,
936 &fold_part, &u1) < 0)
937 goto error;
938
939 isl_union_pw_qpolynomial_fold_free(u2);
940
941 return u1;
942 error:
943 isl_union_pw_qpolynomial_fold_free(u1);
944 isl_union_pw_qpolynomial_fold_free(u2);
945 return NULL;
946 }
947
948 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_from_pw_qpolynomial(
949 enum isl_fold type, __isl_take isl_pw_qpolynomial *pwqp)
950 {
951 int i;
952 isl_pw_qpolynomial_fold *pwf;
953
954 if (!pwqp)
955 return NULL;
956
957 pwf = isl_pw_qpolynomial_fold_alloc_size(isl_space_copy(pwqp->dim),
958 type, pwqp->n);
959
960 for (i = 0; i < pwqp->n; ++i)
961 pwf = isl_pw_qpolynomial_fold_add_piece(pwf,
962 isl_set_copy(pwqp->p[i].set),
963 isl_qpolynomial_fold_alloc(type,
964 isl_qpolynomial_copy(pwqp->p[i].qp)));
965
966 isl_pw_qpolynomial_free(pwqp);
967
968 return pwf;
969 }
970
971 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_add(
972 __isl_take isl_pw_qpolynomial_fold *pwf1,
973 __isl_take isl_pw_qpolynomial_fold *pwf2)
974 {
975 return isl_pw_qpolynomial_fold_union_add_(pwf1, pwf2);
976 }
977
978 int isl_qpolynomial_fold_plain_is_equal(__isl_keep isl_qpolynomial_fold *fold1,
979 __isl_keep isl_qpolynomial_fold *fold2)
980 {
981 int i;
982
983 if (!fold1 || !fold2)
984 return -1;
985
986 if (fold1->n != fold2->n)
987 return 0;
988
989 /* We probably want to sort the qps first... */
990 for (i = 0; i < fold1->n; ++i) {
991 int eq = isl_qpolynomial_plain_is_equal(fold1->qp[i], fold2->qp[i]);
992 if (eq < 0 || !eq)
993 return eq;
994 }
995
996 return 1;
997 }
998
999 __isl_give isl_qpolynomial *isl_qpolynomial_fold_eval(
1000 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_point *pnt)
1001 {
1002 isl_qpolynomial *qp;
1003
1004 if (!fold || !pnt)
1005 goto error;
1006 isl_assert(pnt->dim->ctx, isl_space_is_equal(pnt->dim, fold->dim), goto error);
1007 isl_assert(pnt->dim->ctx,
1008 fold->type == isl_fold_max || fold->type == isl_fold_min,
1009 goto error);
1010
1011 if (fold->n == 0)
1012 qp = isl_qpolynomial_zero_on_domain(isl_space_copy(fold->dim));
1013 else {
1014 int i;
1015 qp = isl_qpolynomial_eval(isl_qpolynomial_copy(fold->qp[0]),
1016 isl_point_copy(pnt));
1017 for (i = 1; i < fold->n; ++i) {
1018 isl_qpolynomial *qp_i;
1019 qp_i = isl_qpolynomial_eval(
1020 isl_qpolynomial_copy(fold->qp[i]),
1021 isl_point_copy(pnt));
1022 if (fold->type == isl_fold_max)
1023 qp = isl_qpolynomial_max_cst(qp, qp_i);
1024 else
1025 qp = isl_qpolynomial_min_cst(qp, qp_i);
1026 }
1027 }
1028 isl_qpolynomial_fold_free(fold);
1029 isl_point_free(pnt);
1030
1031 return qp;
1032 error:
1033 isl_qpolynomial_fold_free(fold);
1034 isl_point_free(pnt);
1035 return NULL;
1036 }
1037
1038 size_t isl_pw_qpolynomial_fold_size(__isl_keep isl_pw_qpolynomial_fold *pwf)
1039 {
1040 int i;
1041 size_t n = 0;
1042
1043 for (i = 0; i < pwf->n; ++i)
1044 n += pwf->p[i].fold->n;
1045
1046 return n;
1047 }
1048
1049 __isl_give isl_qpolynomial *isl_qpolynomial_fold_opt_on_domain(
1050 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *set, int max)
1051 {
1052 int i;
1053 isl_qpolynomial *opt;
1054
1055 if (!set || !fold)
1056 goto error;
1057
1058 if (fold->n == 0) {
1059 isl_space *dim = isl_space_copy(fold->dim);
1060 isl_set_free(set);
1061 isl_qpolynomial_fold_free(fold);
1062 return isl_qpolynomial_zero_on_domain(dim);
1063 }
1064
1065 opt = isl_qpolynomial_opt_on_domain(isl_qpolynomial_copy(fold->qp[0]),
1066 isl_set_copy(set), max);
1067 for (i = 1; i < fold->n; ++i) {
1068 isl_qpolynomial *opt_i;
1069 opt_i = isl_qpolynomial_opt_on_domain(
1070 isl_qpolynomial_copy(fold->qp[i]),
1071 isl_set_copy(set), max);
1072 if (max)
1073 opt = isl_qpolynomial_max_cst(opt, opt_i);
1074 else
1075 opt = isl_qpolynomial_min_cst(opt, opt_i);
1076 }
1077
1078 isl_set_free(set);
1079 isl_qpolynomial_fold_free(fold);
1080
1081 return opt;
1082 error:
1083 isl_set_free(set);
1084 isl_qpolynomial_fold_free(fold);
1085 return NULL;
1086 }
1087
1088 /* Check whether for each quasi-polynomial in "fold2" there is
1089 * a quasi-polynomial in "fold1" that dominates it on "set".
1090 */
1091 static int qpolynomial_fold_covers_on_domain(__isl_keep isl_set *set,
1092 __isl_keep isl_qpolynomial_fold *fold1,
1093 __isl_keep isl_qpolynomial_fold *fold2)
1094 {
1095 int i, j;
1096 int covers;
1097
1098 if (!set || !fold1 || !fold2)
1099 return -1;
1100
1101 covers = fold1->type == isl_fold_max ? 1 : -1;
1102
1103 for (i = 0; i < fold2->n; ++i) {
1104 for (j = 0; j < fold1->n; ++j) {
1105 isl_qpolynomial *d;
1106 int sgn;
1107
1108 d = isl_qpolynomial_sub(
1109 isl_qpolynomial_copy(fold1->qp[j]),
1110 isl_qpolynomial_copy(fold2->qp[i]));
1111 sgn = isl_qpolynomial_sign(set, d);
1112 isl_qpolynomial_free(d);
1113 if (sgn == covers)
1114 break;
1115 }
1116 if (j >= fold1->n)
1117 return 0;
1118 }
1119
1120 return 1;
1121 }
1122
1123 /* Check whether "pwf1" dominated "pwf2", i.e., the domain of "pwf1" contains
1124 * that of "pwf2" and on each cell, the corresponding fold from pwf1 dominates
1125 * that of pwf2.
1126 */
1127 int isl_pw_qpolynomial_fold_covers(__isl_keep isl_pw_qpolynomial_fold *pwf1,
1128 __isl_keep isl_pw_qpolynomial_fold *pwf2)
1129 {
1130 int i, j;
1131 isl_set *dom1, *dom2;
1132 int is_subset;
1133
1134 if (!pwf1 || !pwf2)
1135 return -1;
1136
1137 if (pwf2->n == 0)
1138 return 1;
1139 if (pwf1->n == 0)
1140 return 0;
1141
1142 dom1 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf1));
1143 dom2 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf2));
1144 is_subset = isl_set_is_subset(dom2, dom1);
1145 isl_set_free(dom1);
1146 isl_set_free(dom2);
1147
1148 if (is_subset < 0 || !is_subset)
1149 return is_subset;
1150
1151 for (i = 0; i < pwf2->n; ++i) {
1152 for (j = 0; j < pwf1->n; ++j) {
1153 int is_empty;
1154 isl_set *common;
1155 int covers;
1156
1157 common = isl_set_intersect(isl_set_copy(pwf1->p[j].set),
1158 isl_set_copy(pwf2->p[i].set));
1159 is_empty = isl_set_is_empty(common);
1160 if (is_empty < 0 || is_empty) {
1161 isl_set_free(common);
1162 if (is_empty < 0)
1163 return -1;
1164 continue;
1165 }
1166 covers = qpolynomial_fold_covers_on_domain(common,
1167 pwf1->p[j].fold, pwf2->p[i].fold);
1168 isl_set_free(common);
1169 if (covers < 0 || !covers)
1170 return covers;
1171 }
1172 }
1173
1174 return 1;
1175 }
1176
1177 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_morph_domain(
1178 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_morph *morph)
1179 {
1180 int i;
1181 isl_ctx *ctx;
1182
1183 if (!fold || !morph)
1184 goto error;
1185
1186 ctx = fold->dim->ctx;
1187 isl_assert(ctx, isl_space_is_equal(fold->dim, morph->dom->dim), goto error);
1188
1189 fold = isl_qpolynomial_fold_cow(fold);
1190 if (!fold)
1191 goto error;
1192
1193 isl_space_free(fold->dim);
1194 fold->dim = isl_space_copy(morph->ran->dim);
1195 if (!fold->dim)
1196 goto error;
1197
1198 for (i = 0; i < fold->n; ++i) {
1199 fold->qp[i] = isl_qpolynomial_morph_domain(fold->qp[i],
1200 isl_morph_copy(morph));
1201 if (!fold->qp[i])
1202 goto error;
1203 }
1204
1205 isl_morph_free(morph);
1206
1207 return fold;
1208 error:
1209 isl_qpolynomial_fold_free(fold);
1210 isl_morph_free(morph);
1211 return NULL;
1212 }
1213
1214 enum isl_fold isl_qpolynomial_fold_get_type(__isl_keep isl_qpolynomial_fold *fold)
1215 {
1216 if (!fold)
1217 return isl_fold_list;
1218 return fold->type;
1219 }
1220
1221 enum isl_fold isl_union_pw_qpolynomial_fold_get_type(
1222 __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1223 {
1224 if (!upwf)
1225 return isl_fold_list;
1226 return upwf->type;
1227 }
1228
1229 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_lift(
1230 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_space *dim)
1231 {
1232 int i;
1233
1234 if (!fold || !dim)
1235 goto error;
1236
1237 if (isl_space_is_equal(fold->dim, dim)) {
1238 isl_space_free(dim);
1239 return fold;
1240 }
1241
1242 fold = isl_qpolynomial_fold_cow(fold);
1243 if (!fold)
1244 goto error;
1245
1246 isl_space_free(fold->dim);
1247 fold->dim = isl_space_copy(dim);
1248 if (!fold->dim)
1249 goto error;
1250
1251 for (i = 0; i < fold->n; ++i) {
1252 fold->qp[i] = isl_qpolynomial_lift(fold->qp[i],
1253 isl_space_copy(dim));
1254 if (!fold->qp[i])
1255 goto error;
1256 }
1257
1258 isl_space_free(dim);
1259
1260 return fold;
1261 error:
1262 isl_qpolynomial_fold_free(fold);
1263 isl_space_free(dim);
1264 return NULL;
1265 }
1266
1267 int isl_qpolynomial_fold_foreach_qpolynomial(
1268 __isl_keep isl_qpolynomial_fold *fold,
1269 int (*fn)(__isl_take isl_qpolynomial *qp, void *user), void *user)
1270 {
1271 int i;
1272
1273 if (!fold)
1274 return -1;
1275
1276 for (i = 0; i < fold->n; ++i)
1277 if (fn(isl_qpolynomial_copy(fold->qp[i]), user) < 0)
1278 return -1;
1279
1280 return 0;
1281 }
1282
1283 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_move_dims(
1284 __isl_take isl_qpolynomial_fold *fold,
1285 enum isl_dim_type dst_type, unsigned dst_pos,
1286 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1287 {
1288 int i;
1289
1290 if (n == 0)
1291 return fold;
1292
1293 fold = isl_qpolynomial_fold_cow(fold);
1294 if (!fold)
1295 return NULL;
1296
1297 fold->dim = isl_space_move_dims(fold->dim, dst_type, dst_pos,
1298 src_type, src_pos, n);
1299 if (!fold->dim)
1300 goto error;
1301
1302 for (i = 0; i < fold->n; ++i) {
1303 fold->qp[i] = isl_qpolynomial_move_dims(fold->qp[i],
1304 dst_type, dst_pos, src_type, src_pos, n);
1305 if (!fold->qp[i])
1306 goto error;
1307 }
1308
1309 return fold;
1310 error:
1311 isl_qpolynomial_fold_free(fold);
1312 return NULL;
1313 }
1314
1315 /* For each 0 <= i < "n", replace variable "first" + i of type "type"
1316 * in fold->qp[k] by subs[i].
1317 */
1318 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_substitute(
1319 __isl_take isl_qpolynomial_fold *fold,
1320 enum isl_dim_type type, unsigned first, unsigned n,
1321 __isl_keep isl_qpolynomial **subs)
1322 {
1323 int i;
1324
1325 if (n == 0)
1326 return fold;
1327
1328 fold = isl_qpolynomial_fold_cow(fold);
1329 if (!fold)
1330 return NULL;
1331
1332 for (i = 0; i < fold->n; ++i) {
1333 fold->qp[i] = isl_qpolynomial_substitute(fold->qp[i],
1334 type, first, n, subs);
1335 if (!fold->qp[i])
1336 goto error;
1337 }
1338
1339 return fold;
1340 error:
1341 isl_qpolynomial_fold_free(fold);
1342 return NULL;
1343 }
1344
1345 static int add_pwqp(__isl_take isl_pw_qpolynomial *pwqp, void *user)
1346 {
1347 isl_ctx *ctx;
1348 isl_pw_qpolynomial_fold *pwf;
1349 isl_union_pw_qpolynomial_fold **upwf;
1350 uint32_t hash;
1351 struct isl_hash_table_entry *entry;
1352
1353 upwf = (isl_union_pw_qpolynomial_fold **)user;
1354
1355 ctx = pwqp->dim->ctx;
1356 hash = isl_space_get_hash(pwqp->dim);
1357 entry = isl_hash_table_find(ctx, &(*upwf)->table,
1358 hash, &has_dim, pwqp->dim, 1);
1359 if (!entry)
1360 goto error;
1361
1362 pwf = isl_pw_qpolynomial_fold_from_pw_qpolynomial((*upwf)->type, pwqp);
1363 if (!entry->data)
1364 entry->data = pwf;
1365 else {
1366 entry->data = isl_pw_qpolynomial_fold_add(entry->data, pwf);
1367 if (!entry->data)
1368 return -1;
1369 if (isl_pw_qpolynomial_fold_is_zero(entry->data)) {
1370 isl_pw_qpolynomial_fold_free(entry->data);
1371 isl_hash_table_remove(ctx, &(*upwf)->table, entry);
1372 }
1373 }
1374
1375 return 0;
1376 error:
1377 isl_pw_qpolynomial_free(pwqp);
1378 return -1;
1379 }
1380
1381 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_add_union_pw_qpolynomial(
1382 __isl_take isl_union_pw_qpolynomial_fold *upwf,
1383 __isl_take isl_union_pw_qpolynomial *upwqp)
1384 {
1385 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1386 isl_union_pw_qpolynomial_get_space(upwqp));
1387 upwqp = isl_union_pw_qpolynomial_align_params(upwqp,
1388 isl_union_pw_qpolynomial_fold_get_space(upwf));
1389
1390 upwf = isl_union_pw_qpolynomial_fold_cow(upwf);
1391 if (!upwf || !upwqp)
1392 goto error;
1393
1394 if (isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &add_pwqp,
1395 &upwf) < 0)
1396 goto error;
1397
1398 isl_union_pw_qpolynomial_free(upwqp);
1399
1400 return upwf;
1401 error:
1402 isl_union_pw_qpolynomial_fold_free(upwf);
1403 isl_union_pw_qpolynomial_free(upwqp);
1404 return NULL;
1405 }
1406
1407 static int join_compatible(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1408 {
1409 int m;
1410 m = isl_space_match(dim1, isl_dim_param, dim2, isl_dim_param);
1411 if (m < 0 || !m)
1412 return m;
1413 return isl_space_tuple_match(dim1, isl_dim_out, dim2, isl_dim_in);
1414 }
1415
1416 /* Compute the intersection of the range of the map and the domain
1417 * of the piecewise quasipolynomial reduction and then compute a bound
1418 * on the associated quasipolynomial reduction over all elements
1419 * in this intersection.
1420 *
1421 * We first introduce some unconstrained dimensions in the
1422 * piecewise quasipolynomial, intersect the resulting domain
1423 * with the wrapped map and the compute the sum.
1424 */
1425 __isl_give isl_pw_qpolynomial_fold *isl_map_apply_pw_qpolynomial_fold(
1426 __isl_take isl_map *map, __isl_take isl_pw_qpolynomial_fold *pwf,
1427 int *tight)
1428 {
1429 isl_ctx *ctx;
1430 isl_set *dom;
1431 isl_space *map_dim;
1432 isl_space *pwf_dim;
1433 unsigned n_in;
1434 int ok;
1435
1436 ctx = isl_map_get_ctx(map);
1437 if (!ctx)
1438 goto error;
1439
1440 map_dim = isl_map_get_space(map);
1441 pwf_dim = isl_pw_qpolynomial_fold_get_space(pwf);
1442 ok = join_compatible(map_dim, pwf_dim);
1443 isl_space_free(map_dim);
1444 isl_space_free(pwf_dim);
1445 if (!ok)
1446 isl_die(ctx, isl_error_invalid, "incompatible dimensions",
1447 goto error);
1448
1449 n_in = isl_map_dim(map, isl_dim_in);
1450 pwf = isl_pw_qpolynomial_fold_insert_dims(pwf, isl_dim_in, 0, n_in);
1451
1452 dom = isl_map_wrap(map);
1453 pwf = isl_pw_qpolynomial_fold_reset_domain_space(pwf,
1454 isl_set_get_space(dom));
1455
1456 pwf = isl_pw_qpolynomial_fold_intersect_domain(pwf, dom);
1457 pwf = isl_pw_qpolynomial_fold_bound(pwf, tight);
1458
1459 return pwf;
1460 error:
1461 isl_map_free(map);
1462 isl_pw_qpolynomial_fold_free(pwf);
1463 return NULL;
1464 }
1465
1466 __isl_give isl_pw_qpolynomial_fold *isl_set_apply_pw_qpolynomial_fold(
1467 __isl_take isl_set *set, __isl_take isl_pw_qpolynomial_fold *pwf,
1468 int *tight)
1469 {
1470 return isl_map_apply_pw_qpolynomial_fold(set, pwf, tight);
1471 }
1472
1473 struct isl_apply_fold_data {
1474 isl_union_pw_qpolynomial_fold *upwf;
1475 isl_union_pw_qpolynomial_fold *res;
1476 isl_map *map;
1477 int tight;
1478 };
1479
1480 static int pw_qpolynomial_fold_apply(__isl_take isl_pw_qpolynomial_fold *pwf,
1481 void *user)
1482 {
1483 isl_space *map_dim;
1484 isl_space *pwf_dim;
1485 struct isl_apply_fold_data *data = user;
1486 int ok;
1487
1488 map_dim = isl_map_get_space(data->map);
1489 pwf_dim = isl_pw_qpolynomial_fold_get_space(pwf);
1490 ok = join_compatible(map_dim, pwf_dim);
1491 isl_space_free(map_dim);
1492 isl_space_free(pwf_dim);
1493
1494 if (ok) {
1495 pwf = isl_map_apply_pw_qpolynomial_fold(isl_map_copy(data->map),
1496 pwf, data->tight ? &data->tight : NULL);
1497 data->res = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
1498 data->res, pwf);
1499 } else
1500 isl_pw_qpolynomial_fold_free(pwf);
1501
1502 return 0;
1503 }
1504
1505 static int map_apply(__isl_take isl_map *map, void *user)
1506 {
1507 struct isl_apply_fold_data *data = user;
1508 int r;
1509
1510 data->map = map;
1511 r = isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(
1512 data->upwf, &pw_qpolynomial_fold_apply, data);
1513
1514 isl_map_free(map);
1515 return r;
1516 }
1517
1518 __isl_give isl_union_pw_qpolynomial_fold *isl_union_map_apply_union_pw_qpolynomial_fold(
1519 __isl_take isl_union_map *umap,
1520 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1521 {
1522 isl_space *dim;
1523 enum isl_fold type;
1524 struct isl_apply_fold_data data;
1525
1526 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1527 isl_union_map_get_space(umap));
1528 umap = isl_union_map_align_params(umap,
1529 isl_union_pw_qpolynomial_fold_get_space(upwf));
1530
1531 data.upwf = upwf;
1532 data.tight = tight ? 1 : 0;
1533 dim = isl_union_pw_qpolynomial_fold_get_space(upwf);
1534 type = isl_union_pw_qpolynomial_fold_get_type(upwf);
1535 data.res = isl_union_pw_qpolynomial_fold_zero(dim, type);
1536 if (isl_union_map_foreach_map(umap, &map_apply, &data) < 0)
1537 goto error;
1538
1539 isl_union_map_free(umap);
1540 isl_union_pw_qpolynomial_fold_free(upwf);
1541
1542 if (tight)
1543 *tight = data.tight;
1544
1545 return data.res;
1546 error:
1547 isl_union_map_free(umap);
1548 isl_union_pw_qpolynomial_fold_free(upwf);
1549 isl_union_pw_qpolynomial_fold_free(data.res);
1550 return NULL;
1551 }
1552
1553 __isl_give isl_union_pw_qpolynomial_fold *isl_union_set_apply_union_pw_qpolynomial_fold(
1554 __isl_take isl_union_set *uset,
1555 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1556 {
1557 return isl_union_map_apply_union_pw_qpolynomial_fold(uset, upwf, tight);
1558 }
1559
1560 /* Reorder the dimension of "fold" according to the given reordering.
1561 */
1562 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_realign_domain(
1563 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_reordering *r)
1564 {
1565 int i;
1566
1567 fold = isl_qpolynomial_fold_cow(fold);
1568 if (!fold || !r)
1569 goto error;
1570
1571 for (i = 0; i < fold->n; ++i) {
1572 fold->qp[i] = isl_qpolynomial_realign_domain(fold->qp[i],
1573 isl_reordering_copy(r));
1574 if (!fold->qp[i])
1575 goto error;
1576 }
1577
1578 fold = isl_qpolynomial_fold_reset_domain_space(fold,
1579 isl_space_copy(r->dim));
1580
1581 isl_reordering_free(r);
1582
1583 return fold;
1584 error:
1585 isl_qpolynomial_fold_free(fold);
1586 isl_reordering_free(r);
1587 return NULL;
1588 }
1589
1590 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_mul_isl_int(
1591 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1592 {
1593 int i;
1594
1595 if (isl_int_is_one(v))
1596 return fold;
1597 if (fold && isl_int_is_zero(v)) {
1598 isl_qpolynomial_fold *zero;
1599 isl_space *dim = isl_space_copy(fold->dim);
1600 zero = isl_qpolynomial_fold_empty(fold->type, dim);
1601 isl_qpolynomial_fold_free(fold);
1602 return zero;
1603 }
1604
1605 fold = isl_qpolynomial_fold_cow(fold);
1606 if (!fold)
1607 return NULL;
1608
1609 if (isl_int_is_neg(v))
1610 fold->type = isl_fold_type_negate(fold->type);
1611 for (i = 0; i < fold->n; ++i) {
1612 fold->qp[i] = isl_qpolynomial_mul_isl_int(fold->qp[i], v);
1613 if (!fold->qp[i])
1614 goto error;
1615 }
1616
1617 return fold;
1618 error:
1619 isl_qpolynomial_fold_free(fold);
1620 return NULL;
1621 }
1622
1623 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_scale(
1624 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1625 {
1626 return isl_qpolynomial_fold_mul_isl_int(fold, v);
1627 }
Integer set library