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move generic part of isl_union_pw_qpolynomial_mul to isl_union_templ.c
[isl.git] / isl_fold.c
blobb96c096577023c9610938179ad62ceaef3cf1895
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 #undef DEFAULT_IS_ZERO
638 #define DEFAULT_IS_ZERO 1
639
640 #define NO_NEG
641
642 #include <isl_pw_templ.c>
643
644 #undef UNION
645 #define UNION isl_union_pw_qpolynomial_fold
646 #undef PART
647 #define PART isl_pw_qpolynomial_fold
648 #undef PARTS
649 #define PARTS pw_qpolynomial_fold
650 #define ALIGN_DOMAIN
651
652 #include <isl_union_templ.c>
653
654 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_empty(enum isl_fold type,
655 __isl_take isl_space *dim)
656 {
657 return qpolynomial_fold_alloc(type, dim, 0);
658 }
659
660 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_alloc(
661 enum isl_fold type, __isl_take isl_qpolynomial *qp)
662 {
663 isl_qpolynomial_fold *fold;
664
665 if (!qp)
666 return NULL;
667
668 fold = qpolynomial_fold_alloc(type, isl_space_copy(qp->dim), 1);
669 if (!fold)
670 goto error;
671
672 fold->qp[0] = qp;
673 fold->n++;
674
675 return fold;
676 error:
677 isl_qpolynomial_fold_free(fold);
678 isl_qpolynomial_free(qp);
679 return NULL;
680 }
681
682 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_copy(
683 __isl_keep isl_qpolynomial_fold *fold)
684 {
685 if (!fold)
686 return NULL;
687
688 fold->ref++;
689 return fold;
690 }
691
692 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_dup(
693 __isl_keep isl_qpolynomial_fold *fold)
694 {
695 int i;
696 isl_qpolynomial_fold *dup;
697
698 if (!fold)
699 return NULL;
700 dup = qpolynomial_fold_alloc(fold->type,
701 isl_space_copy(fold->dim), fold->n);
702 if (!dup)
703 return NULL;
704
705 dup->n = fold->n;
706 for (i = 0; i < fold->n; ++i) {
707 dup->qp[i] = isl_qpolynomial_copy(fold->qp[i]);
708 if (!dup->qp[i])
709 goto error;
710 }
711
712 return dup;
713 error:
714 isl_qpolynomial_fold_free(dup);
715 return NULL;
716 }
717
718 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_cow(
719 __isl_take isl_qpolynomial_fold *fold)
720 {
721 if (!fold)
722 return NULL;
723
724 if (fold->ref == 1)
725 return fold;
726 fold->ref--;
727 return isl_qpolynomial_fold_dup(fold);
728 }
729
730 void isl_qpolynomial_fold_free(__isl_take isl_qpolynomial_fold *fold)
731 {
732 int i;
733
734 if (!fold)
735 return;
736 if (--fold->ref > 0)
737 return;
738
739 for (i = 0; i < fold->n; ++i)
740 isl_qpolynomial_free(fold->qp[i]);
741 isl_space_free(fold->dim);
742 free(fold);
743 }
744
745 int isl_qpolynomial_fold_is_empty(__isl_keep isl_qpolynomial_fold *fold)
746 {
747 if (!fold)
748 return -1;
749
750 return fold->n == 0;
751 }
752
753 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_fold(
754 __isl_take isl_qpolynomial_fold *fold1,
755 __isl_take isl_qpolynomial_fold *fold2)
756 {
757 int i;
758 struct isl_qpolynomial_fold *res = NULL;
759
760 if (!fold1 || !fold2)
761 goto error;
762
763 isl_assert(fold1->dim->ctx, fold1->type == fold2->type, goto error);
764 isl_assert(fold1->dim->ctx, isl_space_is_equal(fold1->dim, fold2->dim),
765 goto error);
766
767 if (isl_qpolynomial_fold_is_empty(fold1)) {
768 isl_qpolynomial_fold_free(fold1);
769 return fold2;
770 }
771
772 if (isl_qpolynomial_fold_is_empty(fold2)) {
773 isl_qpolynomial_fold_free(fold2);
774 return fold1;
775 }
776
777 res = qpolynomial_fold_alloc(fold1->type, isl_space_copy(fold1->dim),
778 fold1->n + fold2->n);
779 if (!res)
780 goto error;
781
782 for (i = 0; i < fold1->n; ++i) {
783 res->qp[res->n] = isl_qpolynomial_copy(fold1->qp[i]);
784 if (!res->qp[res->n])
785 goto error;
786 res->n++;
787 }
788
789 for (i = 0; i < fold2->n; ++i) {
790 res->qp[res->n] = isl_qpolynomial_copy(fold2->qp[i]);
791 if (!res->qp[res->n])
792 goto error;
793 res->n++;
794 }
795
796 isl_qpolynomial_fold_free(fold1);
797 isl_qpolynomial_fold_free(fold2);
798
799 return res;
800 error:
801 isl_qpolynomial_fold_free(res);
802 isl_qpolynomial_fold_free(fold1);
803 isl_qpolynomial_fold_free(fold2);
804 return NULL;
805 }
806
807 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_fold(
808 __isl_take isl_pw_qpolynomial_fold *pw1,
809 __isl_take isl_pw_qpolynomial_fold *pw2)
810 {
811 int i, j, n;
812 struct isl_pw_qpolynomial_fold *res;
813 isl_set *set;
814
815 if (!pw1 || !pw2)
816 goto error;
817
818 isl_assert(pw1->dim->ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
819
820 if (isl_pw_qpolynomial_fold_is_zero(pw1)) {
821 isl_pw_qpolynomial_fold_free(pw1);
822 return pw2;
823 }
824
825 if (isl_pw_qpolynomial_fold_is_zero(pw2)) {
826 isl_pw_qpolynomial_fold_free(pw2);
827 return pw1;
828 }
829
830 if (pw1->type != pw2->type)
831 isl_die(pw1->dim->ctx, isl_error_invalid,
832 "fold types don't match", goto error);
833
834 n = (pw1->n + 1) * (pw2->n + 1);
835 res = isl_pw_qpolynomial_fold_alloc_size(isl_space_copy(pw1->dim),
836 pw1->type, n);
837
838 for (i = 0; i < pw1->n; ++i) {
839 set = isl_set_copy(pw1->p[i].set);
840 for (j = 0; j < pw2->n; ++j) {
841 struct isl_set *common;
842 isl_qpolynomial_fold *sum;
843 set = isl_set_subtract(set,
844 isl_set_copy(pw2->p[j].set));
845 common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
846 isl_set_copy(pw2->p[j].set));
847 if (isl_set_plain_is_empty(common)) {
848 isl_set_free(common);
849 continue;
850 }
851
852 sum = isl_qpolynomial_fold_fold_on_domain(common,
853 isl_qpolynomial_fold_copy(pw1->p[i].fold),
854 isl_qpolynomial_fold_copy(pw2->p[j].fold));
855
856 res = isl_pw_qpolynomial_fold_add_piece(res, common, sum);
857 }
858 res = isl_pw_qpolynomial_fold_add_piece(res, set,
859 isl_qpolynomial_fold_copy(pw1->p[i].fold));
860 }
861
862 for (j = 0; j < pw2->n; ++j) {
863 set = isl_set_copy(pw2->p[j].set);
864 for (i = 0; i < pw1->n; ++i)
865 set = isl_set_subtract(set, isl_set_copy(pw1->p[i].set));
866 res = isl_pw_qpolynomial_fold_add_piece(res, set,
867 isl_qpolynomial_fold_copy(pw2->p[j].fold));
868 }
869
870 isl_pw_qpolynomial_fold_free(pw1);
871 isl_pw_qpolynomial_fold_free(pw2);
872
873 return res;
874 error:
875 isl_pw_qpolynomial_fold_free(pw1);
876 isl_pw_qpolynomial_fold_free(pw2);
877 return NULL;
878 }
879
880 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
881 __isl_take isl_union_pw_qpolynomial_fold *u,
882 __isl_take isl_pw_qpolynomial_fold *part)
883 {
884 uint32_t hash;
885 struct isl_hash_table_entry *entry;
886
887 u = isl_union_pw_qpolynomial_fold_cow(u);
888
889 if (!part || !u)
890 goto error;
891
892 isl_assert(u->dim->ctx, isl_space_match(part->dim, isl_dim_param, u->dim,
893 isl_dim_param), goto error);
894
895 hash = isl_space_get_hash(part->dim);
896 entry = isl_hash_table_find(u->dim->ctx, &u->table, hash,
897 &has_dim, part->dim, 1);
898 if (!entry)
899 goto error;
900
901 if (!entry->data)
902 entry->data = part;
903 else {
904 entry->data = isl_pw_qpolynomial_fold_fold(entry->data,
905 isl_pw_qpolynomial_fold_copy(part));
906 if (!entry->data)
907 goto error;
908 isl_pw_qpolynomial_fold_free(part);
909 }
910
911 return u;
912 error:
913 isl_pw_qpolynomial_fold_free(part);
914 isl_union_pw_qpolynomial_fold_free(u);
915 return NULL;
916 }
917
918 static int fold_part(__isl_take isl_pw_qpolynomial_fold *part, void *user)
919 {
920 isl_union_pw_qpolynomial_fold **u;
921 u = (isl_union_pw_qpolynomial_fold **)user;
922
923 *u = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(*u, part);
924
925 return 0;
926 }
927
928 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold(
929 __isl_take isl_union_pw_qpolynomial_fold *u1,
930 __isl_take isl_union_pw_qpolynomial_fold *u2)
931 {
932 u1 = isl_union_pw_qpolynomial_fold_cow(u1);
933
934 if (!u1 || !u2)
935 goto error;
936
937 if (isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(u2,
938 &fold_part, &u1) < 0)
939 goto error;
940
941 isl_union_pw_qpolynomial_fold_free(u2);
942
943 return u1;
944 error:
945 isl_union_pw_qpolynomial_fold_free(u1);
946 isl_union_pw_qpolynomial_fold_free(u2);
947 return NULL;
948 }
949
950 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_from_pw_qpolynomial(
951 enum isl_fold type, __isl_take isl_pw_qpolynomial *pwqp)
952 {
953 int i;
954 isl_pw_qpolynomial_fold *pwf;
955
956 if (!pwqp)
957 return NULL;
958
959 pwf = isl_pw_qpolynomial_fold_alloc_size(isl_space_copy(pwqp->dim),
960 type, pwqp->n);
961
962 for (i = 0; i < pwqp->n; ++i)
963 pwf = isl_pw_qpolynomial_fold_add_piece(pwf,
964 isl_set_copy(pwqp->p[i].set),
965 isl_qpolynomial_fold_alloc(type,
966 isl_qpolynomial_copy(pwqp->p[i].qp)));
967
968 isl_pw_qpolynomial_free(pwqp);
969
970 return pwf;
971 }
972
973 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_add(
974 __isl_take isl_pw_qpolynomial_fold *pwf1,
975 __isl_take isl_pw_qpolynomial_fold *pwf2)
976 {
977 return isl_pw_qpolynomial_fold_union_add_(pwf1, pwf2);
978 }
979
980 int isl_qpolynomial_fold_plain_is_equal(__isl_keep isl_qpolynomial_fold *fold1,
981 __isl_keep isl_qpolynomial_fold *fold2)
982 {
983 int i;
984
985 if (!fold1 || !fold2)
986 return -1;
987
988 if (fold1->n != fold2->n)
989 return 0;
990
991 /* We probably want to sort the qps first... */
992 for (i = 0; i < fold1->n; ++i) {
993 int eq = isl_qpolynomial_plain_is_equal(fold1->qp[i], fold2->qp[i]);
994 if (eq < 0 || !eq)
995 return eq;
996 }
997
998 return 1;
999 }
1000
1001 __isl_give isl_qpolynomial *isl_qpolynomial_fold_eval(
1002 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_point *pnt)
1003 {
1004 isl_qpolynomial *qp;
1005
1006 if (!fold || !pnt)
1007 goto error;
1008 isl_assert(pnt->dim->ctx, isl_space_is_equal(pnt->dim, fold->dim), goto error);
1009 isl_assert(pnt->dim->ctx,
1010 fold->type == isl_fold_max || fold->type == isl_fold_min,
1011 goto error);
1012
1013 if (fold->n == 0)
1014 qp = isl_qpolynomial_zero_on_domain(isl_space_copy(fold->dim));
1015 else {
1016 int i;
1017 qp = isl_qpolynomial_eval(isl_qpolynomial_copy(fold->qp[0]),
1018 isl_point_copy(pnt));
1019 for (i = 1; i < fold->n; ++i) {
1020 isl_qpolynomial *qp_i;
1021 qp_i = isl_qpolynomial_eval(
1022 isl_qpolynomial_copy(fold->qp[i]),
1023 isl_point_copy(pnt));
1024 if (fold->type == isl_fold_max)
1025 qp = isl_qpolynomial_max_cst(qp, qp_i);
1026 else
1027 qp = isl_qpolynomial_min_cst(qp, qp_i);
1028 }
1029 }
1030 isl_qpolynomial_fold_free(fold);
1031 isl_point_free(pnt);
1032
1033 return qp;
1034 error:
1035 isl_qpolynomial_fold_free(fold);
1036 isl_point_free(pnt);
1037 return NULL;
1038 }
1039
1040 size_t isl_pw_qpolynomial_fold_size(__isl_keep isl_pw_qpolynomial_fold *pwf)
1041 {
1042 int i;
1043 size_t n = 0;
1044
1045 for (i = 0; i < pwf->n; ++i)
1046 n += pwf->p[i].fold->n;
1047
1048 return n;
1049 }
1050
1051 __isl_give isl_qpolynomial *isl_qpolynomial_fold_opt_on_domain(
1052 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *set, int max)
1053 {
1054 int i;
1055 isl_qpolynomial *opt;
1056
1057 if (!set || !fold)
1058 goto error;
1059
1060 if (fold->n == 0) {
1061 isl_space *dim = isl_space_copy(fold->dim);
1062 isl_set_free(set);
1063 isl_qpolynomial_fold_free(fold);
1064 return isl_qpolynomial_zero_on_domain(dim);
1065 }
1066
1067 opt = isl_qpolynomial_opt_on_domain(isl_qpolynomial_copy(fold->qp[0]),
1068 isl_set_copy(set), max);
1069 for (i = 1; i < fold->n; ++i) {
1070 isl_qpolynomial *opt_i;
1071 opt_i = isl_qpolynomial_opt_on_domain(
1072 isl_qpolynomial_copy(fold->qp[i]),
1073 isl_set_copy(set), max);
1074 if (max)
1075 opt = isl_qpolynomial_max_cst(opt, opt_i);
1076 else
1077 opt = isl_qpolynomial_min_cst(opt, opt_i);
1078 }
1079
1080 isl_set_free(set);
1081 isl_qpolynomial_fold_free(fold);
1082
1083 return opt;
1084 error:
1085 isl_set_free(set);
1086 isl_qpolynomial_fold_free(fold);
1087 return NULL;
1088 }
1089
1090 /* Check whether for each quasi-polynomial in "fold2" there is
1091 * a quasi-polynomial in "fold1" that dominates it on "set".
1092 */
1093 static int qpolynomial_fold_covers_on_domain(__isl_keep isl_set *set,
1094 __isl_keep isl_qpolynomial_fold *fold1,
1095 __isl_keep isl_qpolynomial_fold *fold2)
1096 {
1097 int i, j;
1098 int covers;
1099
1100 if (!set || !fold1 || !fold2)
1101 return -1;
1102
1103 covers = fold1->type == isl_fold_max ? 1 : -1;
1104
1105 for (i = 0; i < fold2->n; ++i) {
1106 for (j = 0; j < fold1->n; ++j) {
1107 isl_qpolynomial *d;
1108 int sgn;
1109
1110 d = isl_qpolynomial_sub(
1111 isl_qpolynomial_copy(fold1->qp[j]),
1112 isl_qpolynomial_copy(fold2->qp[i]));
1113 sgn = isl_qpolynomial_sign(set, d);
1114 isl_qpolynomial_free(d);
1115 if (sgn == covers)
1116 break;
1117 }
1118 if (j >= fold1->n)
1119 return 0;
1120 }
1121
1122 return 1;
1123 }
1124
1125 /* Check whether "pwf1" dominated "pwf2", i.e., the domain of "pwf1" contains
1126 * that of "pwf2" and on each cell, the corresponding fold from pwf1 dominates
1127 * that of pwf2.
1128 */
1129 int isl_pw_qpolynomial_fold_covers(__isl_keep isl_pw_qpolynomial_fold *pwf1,
1130 __isl_keep isl_pw_qpolynomial_fold *pwf2)
1131 {
1132 int i, j;
1133 isl_set *dom1, *dom2;
1134 int is_subset;
1135
1136 if (!pwf1 || !pwf2)
1137 return -1;
1138
1139 if (pwf2->n == 0)
1140 return 1;
1141 if (pwf1->n == 0)
1142 return 0;
1143
1144 dom1 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf1));
1145 dom2 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf2));
1146 is_subset = isl_set_is_subset(dom2, dom1);
1147 isl_set_free(dom1);
1148 isl_set_free(dom2);
1149
1150 if (is_subset < 0 || !is_subset)
1151 return is_subset;
1152
1153 for (i = 0; i < pwf2->n; ++i) {
1154 for (j = 0; j < pwf1->n; ++j) {
1155 int is_empty;
1156 isl_set *common;
1157 int covers;
1158
1159 common = isl_set_intersect(isl_set_copy(pwf1->p[j].set),
1160 isl_set_copy(pwf2->p[i].set));
1161 is_empty = isl_set_is_empty(common);
1162 if (is_empty < 0 || is_empty) {
1163 isl_set_free(common);
1164 if (is_empty < 0)
1165 return -1;
1166 continue;
1167 }
1168 covers = qpolynomial_fold_covers_on_domain(common,
1169 pwf1->p[j].fold, pwf2->p[i].fold);
1170 isl_set_free(common);
1171 if (covers < 0 || !covers)
1172 return covers;
1173 }
1174 }
1175
1176 return 1;
1177 }
1178
1179 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_morph_domain(
1180 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_morph *morph)
1181 {
1182 int i;
1183 isl_ctx *ctx;
1184
1185 if (!fold || !morph)
1186 goto error;
1187
1188 ctx = fold->dim->ctx;
1189 isl_assert(ctx, isl_space_is_equal(fold->dim, morph->dom->dim), goto error);
1190
1191 fold = isl_qpolynomial_fold_cow(fold);
1192 if (!fold)
1193 goto error;
1194
1195 isl_space_free(fold->dim);
1196 fold->dim = isl_space_copy(morph->ran->dim);
1197 if (!fold->dim)
1198 goto error;
1199
1200 for (i = 0; i < fold->n; ++i) {
1201 fold->qp[i] = isl_qpolynomial_morph_domain(fold->qp[i],
1202 isl_morph_copy(morph));
1203 if (!fold->qp[i])
1204 goto error;
1205 }
1206
1207 isl_morph_free(morph);
1208
1209 return fold;
1210 error:
1211 isl_qpolynomial_fold_free(fold);
1212 isl_morph_free(morph);
1213 return NULL;
1214 }
1215
1216 enum isl_fold isl_qpolynomial_fold_get_type(__isl_keep isl_qpolynomial_fold *fold)
1217 {
1218 if (!fold)
1219 return isl_fold_list;
1220 return fold->type;
1221 }
1222
1223 enum isl_fold isl_union_pw_qpolynomial_fold_get_type(
1224 __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1225 {
1226 if (!upwf)
1227 return isl_fold_list;
1228 return upwf->type;
1229 }
1230
1231 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_lift(
1232 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_space *dim)
1233 {
1234 int i;
1235
1236 if (!fold || !dim)
1237 goto error;
1238
1239 if (isl_space_is_equal(fold->dim, dim)) {
1240 isl_space_free(dim);
1241 return fold;
1242 }
1243
1244 fold = isl_qpolynomial_fold_cow(fold);
1245 if (!fold)
1246 goto error;
1247
1248 isl_space_free(fold->dim);
1249 fold->dim = isl_space_copy(dim);
1250 if (!fold->dim)
1251 goto error;
1252
1253 for (i = 0; i < fold->n; ++i) {
1254 fold->qp[i] = isl_qpolynomial_lift(fold->qp[i],
1255 isl_space_copy(dim));
1256 if (!fold->qp[i])
1257 goto error;
1258 }
1259
1260 isl_space_free(dim);
1261
1262 return fold;
1263 error:
1264 isl_qpolynomial_fold_free(fold);
1265 isl_space_free(dim);
1266 return NULL;
1267 }
1268
1269 int isl_qpolynomial_fold_foreach_qpolynomial(
1270 __isl_keep isl_qpolynomial_fold *fold,
1271 int (*fn)(__isl_take isl_qpolynomial *qp, void *user), void *user)
1272 {
1273 int i;
1274
1275 if (!fold)
1276 return -1;
1277
1278 for (i = 0; i < fold->n; ++i)
1279 if (fn(isl_qpolynomial_copy(fold->qp[i]), user) < 0)
1280 return -1;
1281
1282 return 0;
1283 }
1284
1285 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_move_dims(
1286 __isl_take isl_qpolynomial_fold *fold,
1287 enum isl_dim_type dst_type, unsigned dst_pos,
1288 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1289 {
1290 int i;
1291
1292 if (n == 0)
1293 return fold;
1294
1295 fold = isl_qpolynomial_fold_cow(fold);
1296 if (!fold)
1297 return NULL;
1298
1299 fold->dim = isl_space_move_dims(fold->dim, dst_type, dst_pos,
1300 src_type, src_pos, n);
1301 if (!fold->dim)
1302 goto error;
1303
1304 for (i = 0; i < fold->n; ++i) {
1305 fold->qp[i] = isl_qpolynomial_move_dims(fold->qp[i],
1306 dst_type, dst_pos, src_type, src_pos, n);
1307 if (!fold->qp[i])
1308 goto error;
1309 }
1310
1311 return fold;
1312 error:
1313 isl_qpolynomial_fold_free(fold);
1314 return NULL;
1315 }
1316
1317 /* For each 0 <= i < "n", replace variable "first" + i of type "type"
1318 * in fold->qp[k] by subs[i].
1319 */
1320 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_substitute(
1321 __isl_take isl_qpolynomial_fold *fold,
1322 enum isl_dim_type type, unsigned first, unsigned n,
1323 __isl_keep isl_qpolynomial **subs)
1324 {
1325 int i;
1326
1327 if (n == 0)
1328 return fold;
1329
1330 fold = isl_qpolynomial_fold_cow(fold);
1331 if (!fold)
1332 return NULL;
1333
1334 for (i = 0; i < fold->n; ++i) {
1335 fold->qp[i] = isl_qpolynomial_substitute(fold->qp[i],
1336 type, first, n, subs);
1337 if (!fold->qp[i])
1338 goto error;
1339 }
1340
1341 return fold;
1342 error:
1343 isl_qpolynomial_fold_free(fold);
1344 return NULL;
1345 }
1346
1347 static int add_pwqp(__isl_take isl_pw_qpolynomial *pwqp, void *user)
1348 {
1349 isl_ctx *ctx;
1350 isl_pw_qpolynomial_fold *pwf;
1351 isl_union_pw_qpolynomial_fold **upwf;
1352 uint32_t hash;
1353 struct isl_hash_table_entry *entry;
1354
1355 upwf = (isl_union_pw_qpolynomial_fold **)user;
1356
1357 ctx = pwqp->dim->ctx;
1358 hash = isl_space_get_hash(pwqp->dim);
1359 entry = isl_hash_table_find(ctx, &(*upwf)->table,
1360 hash, &has_dim, pwqp->dim, 1);
1361 if (!entry)
1362 goto error;
1363
1364 pwf = isl_pw_qpolynomial_fold_from_pw_qpolynomial((*upwf)->type, pwqp);
1365 if (!entry->data)
1366 entry->data = pwf;
1367 else {
1368 entry->data = isl_pw_qpolynomial_fold_add(entry->data, pwf);
1369 if (!entry->data)
1370 return -1;
1371 if (isl_pw_qpolynomial_fold_is_zero(entry->data)) {
1372 isl_pw_qpolynomial_fold_free(entry->data);
1373 isl_hash_table_remove(ctx, &(*upwf)->table, entry);
1374 }
1375 }
1376
1377 return 0;
1378 error:
1379 isl_pw_qpolynomial_free(pwqp);
1380 return -1;
1381 }
1382
1383 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_add_union_pw_qpolynomial(
1384 __isl_take isl_union_pw_qpolynomial_fold *upwf,
1385 __isl_take isl_union_pw_qpolynomial *upwqp)
1386 {
1387 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1388 isl_union_pw_qpolynomial_get_space(upwqp));
1389 upwqp = isl_union_pw_qpolynomial_align_params(upwqp,
1390 isl_union_pw_qpolynomial_fold_get_space(upwf));
1391
1392 upwf = isl_union_pw_qpolynomial_fold_cow(upwf);
1393 if (!upwf || !upwqp)
1394 goto error;
1395
1396 if (isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &add_pwqp,
1397 &upwf) < 0)
1398 goto error;
1399
1400 isl_union_pw_qpolynomial_free(upwqp);
1401
1402 return upwf;
1403 error:
1404 isl_union_pw_qpolynomial_fold_free(upwf);
1405 isl_union_pw_qpolynomial_free(upwqp);
1406 return NULL;
1407 }
1408
1409 static int join_compatible(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1410 {
1411 int m;
1412 m = isl_space_match(dim1, isl_dim_param, dim2, isl_dim_param);
1413 if (m < 0 || !m)
1414 return m;
1415 return isl_space_tuple_match(dim1, isl_dim_out, dim2, isl_dim_in);
1416 }
1417
1418 /* Compute the intersection of the range of the map and the domain
1419 * of the piecewise quasipolynomial reduction and then compute a bound
1420 * on the associated quasipolynomial reduction over all elements
1421 * in this intersection.
1422 *
1423 * We first introduce some unconstrained dimensions in the
1424 * piecewise quasipolynomial, intersect the resulting domain
1425 * with the wrapped map and the compute the sum.
1426 */
1427 __isl_give isl_pw_qpolynomial_fold *isl_map_apply_pw_qpolynomial_fold(
1428 __isl_take isl_map *map, __isl_take isl_pw_qpolynomial_fold *pwf,
1429 int *tight)
1430 {
1431 isl_ctx *ctx;
1432 isl_set *dom;
1433 isl_space *map_dim;
1434 isl_space *pwf_dim;
1435 unsigned n_in;
1436 int ok;
1437
1438 ctx = isl_map_get_ctx(map);
1439 if (!ctx)
1440 goto error;
1441
1442 map_dim = isl_map_get_space(map);
1443 pwf_dim = isl_pw_qpolynomial_fold_get_space(pwf);
1444 ok = join_compatible(map_dim, pwf_dim);
1445 isl_space_free(map_dim);
1446 isl_space_free(pwf_dim);
1447 if (!ok)
1448 isl_die(ctx, isl_error_invalid, "incompatible dimensions",
1449 goto error);
1450
1451 n_in = isl_map_dim(map, isl_dim_in);
1452 pwf = isl_pw_qpolynomial_fold_insert_dims(pwf, isl_dim_in, 0, n_in);
1453
1454 dom = isl_map_wrap(map);
1455 pwf = isl_pw_qpolynomial_fold_reset_domain_space(pwf,
1456 isl_set_get_space(dom));
1457
1458 pwf = isl_pw_qpolynomial_fold_intersect_domain(pwf, dom);
1459 pwf = isl_pw_qpolynomial_fold_bound(pwf, tight);
1460
1461 return pwf;
1462 error:
1463 isl_map_free(map);
1464 isl_pw_qpolynomial_fold_free(pwf);
1465 return NULL;
1466 }
1467
1468 __isl_give isl_pw_qpolynomial_fold *isl_set_apply_pw_qpolynomial_fold(
1469 __isl_take isl_set *set, __isl_take isl_pw_qpolynomial_fold *pwf,
1470 int *tight)
1471 {
1472 return isl_map_apply_pw_qpolynomial_fold(set, pwf, tight);
1473 }
1474
1475 struct isl_apply_fold_data {
1476 isl_union_pw_qpolynomial_fold *upwf;
1477 isl_union_pw_qpolynomial_fold *res;
1478 isl_map *map;
1479 int tight;
1480 };
1481
1482 static int pw_qpolynomial_fold_apply(__isl_take isl_pw_qpolynomial_fold *pwf,
1483 void *user)
1484 {
1485 isl_space *map_dim;
1486 isl_space *pwf_dim;
1487 struct isl_apply_fold_data *data = user;
1488 int ok;
1489
1490 map_dim = isl_map_get_space(data->map);
1491 pwf_dim = isl_pw_qpolynomial_fold_get_space(pwf);
1492 ok = join_compatible(map_dim, pwf_dim);
1493 isl_space_free(map_dim);
1494 isl_space_free(pwf_dim);
1495
1496 if (ok) {
1497 pwf = isl_map_apply_pw_qpolynomial_fold(isl_map_copy(data->map),
1498 pwf, data->tight ? &data->tight : NULL);
1499 data->res = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
1500 data->res, pwf);
1501 } else
1502 isl_pw_qpolynomial_fold_free(pwf);
1503
1504 return 0;
1505 }
1506
1507 static int map_apply(__isl_take isl_map *map, void *user)
1508 {
1509 struct isl_apply_fold_data *data = user;
1510 int r;
1511
1512 data->map = map;
1513 r = isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(
1514 data->upwf, &pw_qpolynomial_fold_apply, data);
1515
1516 isl_map_free(map);
1517 return r;
1518 }
1519
1520 __isl_give isl_union_pw_qpolynomial_fold *isl_union_map_apply_union_pw_qpolynomial_fold(
1521 __isl_take isl_union_map *umap,
1522 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1523 {
1524 isl_space *dim;
1525 enum isl_fold type;
1526 struct isl_apply_fold_data data;
1527
1528 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1529 isl_union_map_get_space(umap));
1530 umap = isl_union_map_align_params(umap,
1531 isl_union_pw_qpolynomial_fold_get_space(upwf));
1532
1533 data.upwf = upwf;
1534 data.tight = tight ? 1 : 0;
1535 dim = isl_union_pw_qpolynomial_fold_get_space(upwf);
1536 type = isl_union_pw_qpolynomial_fold_get_type(upwf);
1537 data.res = isl_union_pw_qpolynomial_fold_zero(dim, type);
1538 if (isl_union_map_foreach_map(umap, &map_apply, &data) < 0)
1539 goto error;
1540
1541 isl_union_map_free(umap);
1542 isl_union_pw_qpolynomial_fold_free(upwf);
1543
1544 if (tight)
1545 *tight = data.tight;
1546
1547 return data.res;
1548 error:
1549 isl_union_map_free(umap);
1550 isl_union_pw_qpolynomial_fold_free(upwf);
1551 isl_union_pw_qpolynomial_fold_free(data.res);
1552 return NULL;
1553 }
1554
1555 __isl_give isl_union_pw_qpolynomial_fold *isl_union_set_apply_union_pw_qpolynomial_fold(
1556 __isl_take isl_union_set *uset,
1557 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1558 {
1559 return isl_union_map_apply_union_pw_qpolynomial_fold(uset, upwf, tight);
1560 }
1561
1562 /* Reorder the dimension of "fold" according to the given reordering.
1563 */
1564 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_realign_domain(
1565 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_reordering *r)
1566 {
1567 int i;
1568
1569 fold = isl_qpolynomial_fold_cow(fold);
1570 if (!fold || !r)
1571 goto error;
1572
1573 for (i = 0; i < fold->n; ++i) {
1574 fold->qp[i] = isl_qpolynomial_realign_domain(fold->qp[i],
1575 isl_reordering_copy(r));
1576 if (!fold->qp[i])
1577 goto error;
1578 }
1579
1580 fold = isl_qpolynomial_fold_reset_domain_space(fold,
1581 isl_space_copy(r->dim));
1582
1583 isl_reordering_free(r);
1584
1585 return fold;
1586 error:
1587 isl_qpolynomial_fold_free(fold);
1588 isl_reordering_free(r);
1589 return NULL;
1590 }
1591
1592 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_mul_isl_int(
1593 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1594 {
1595 int i;
1596
1597 if (isl_int_is_one(v))
1598 return fold;
1599 if (fold && isl_int_is_zero(v)) {
1600 isl_qpolynomial_fold *zero;
1601 isl_space *dim = isl_space_copy(fold->dim);
1602 zero = isl_qpolynomial_fold_empty(fold->type, dim);
1603 isl_qpolynomial_fold_free(fold);
1604 return zero;
1605 }
1606
1607 fold = isl_qpolynomial_fold_cow(fold);
1608 if (!fold)
1609 return NULL;
1610
1611 if (isl_int_is_neg(v))
1612 fold->type = isl_fold_type_negate(fold->type);
1613 for (i = 0; i < fold->n; ++i) {
1614 fold->qp[i] = isl_qpolynomial_mul_isl_int(fold->qp[i], v);
1615 if (!fold->qp[i])
1616 goto error;
1617 }
1618
1619 return fold;
1620 error:
1621 isl_qpolynomial_fold_free(fold);
1622 return NULL;
1623 }
1624
1625 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_scale(
1626 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1627 {
1628 return isl_qpolynomial_fold_mul_isl_int(fold, v);
1629 }
Integer set library