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declare isl_union_pw_multi_aff_intersect_params
[isl.git] / isl_fold.c
blobe9640ddefe8cc6019fc146402977f0a4f366f660
1 /*
2 * Copyright 2010 INRIA Saclay
3 *
4 * Use of this software is governed by the MIT 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_private.h>
18 #include <isl_seq.h>
19 #include <isl_mat_private.h>
20 #include <isl_val_private.h>
21 #include <isl_vec_private.h>
22 #include <isl_config.h>
23 #include <isl/deprecated/polynomial_int.h>
24
25 enum isl_fold isl_fold_type_negate(enum isl_fold type)
26 {
27 switch (type) {
28 case isl_fold_min:
29 return isl_fold_max;
30 case isl_fold_max:
31 return isl_fold_min;
32 case isl_fold_list:
33 return isl_fold_list;
34 }
35
36 isl_die(NULL, isl_error_internal, "unhandled isl_fold type", abort());
37 }
38
39 static __isl_give isl_qpolynomial_fold *qpolynomial_fold_alloc(
40 enum isl_fold type, __isl_take isl_space *dim, int n)
41 {
42 isl_qpolynomial_fold *fold;
43
44 if (!dim)
45 goto error;
46
47 isl_assert(dim->ctx, n >= 0, goto error);
48 fold = isl_calloc(dim->ctx, struct isl_qpolynomial_fold,
49 sizeof(struct isl_qpolynomial_fold) +
50 (n - 1) * sizeof(struct isl_qpolynomial *));
51 if (!fold)
52 goto error;
53
54 fold->ref = 1;
55 fold->size = n;
56 fold->n = 0;
57 fold->type = type;
58 fold->dim = dim;
59
60 return fold;
61 error:
62 isl_space_free(dim);
63 return NULL;
64 }
65
66 isl_ctx *isl_qpolynomial_fold_get_ctx(__isl_keep isl_qpolynomial_fold *fold)
67 {
68 return fold ? fold->dim->ctx : NULL;
69 }
70
71 __isl_give isl_space *isl_qpolynomial_fold_get_domain_space(
72 __isl_keep isl_qpolynomial_fold *fold)
73 {
74 return fold ? isl_space_copy(fold->dim) : NULL;
75 }
76
77 __isl_give isl_space *isl_qpolynomial_fold_get_space(
78 __isl_keep isl_qpolynomial_fold *fold)
79 {
80 isl_space *space;
81 if (!fold)
82 return NULL;
83 space = isl_space_copy(fold->dim);
84 space = isl_space_from_domain(space);
85 space = isl_space_add_dims(space, isl_dim_out, 1);
86 return space;
87 }
88
89 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_reset_domain_space(
90 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_space *dim)
91 {
92 int i;
93
94 fold = isl_qpolynomial_fold_cow(fold);
95 if (!fold || !dim)
96 goto error;
97
98 for (i = 0; i < fold->n; ++i) {
99 fold->qp[i] = isl_qpolynomial_reset_domain_space(fold->qp[i],
100 isl_space_copy(dim));
101 if (!fold->qp[i])
102 goto error;
103 }
104
105 isl_space_free(fold->dim);
106 fold->dim = dim;
107
108 return fold;
109 error:
110 isl_qpolynomial_fold_free(fold);
111 isl_space_free(dim);
112 return NULL;
113 }
114
115 /* Reset the space of "fold". This function is called from isl_pw_templ.c
116 * and doesn't know if the space of an element object is represented
117 * directly or through its domain. It therefore passes along both.
118 */
119 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_reset_space_and_domain(
120 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_space *space,
121 __isl_take isl_space *domain)
122 {
123 isl_space_free(space);
124 return isl_qpolynomial_fold_reset_domain_space(fold, domain);
125 }
126
127 int isl_qpolynomial_fold_involves_dims(__isl_keep isl_qpolynomial_fold *fold,
128 enum isl_dim_type type, unsigned first, unsigned n)
129 {
130 int i;
131
132 if (!fold)
133 return -1;
134 if (fold->n == 0 || n == 0)
135 return 0;
136
137 for (i = 0; i < fold->n; ++i) {
138 int involves = isl_qpolynomial_involves_dims(fold->qp[i],
139 type, first, n);
140 if (involves < 0 || involves)
141 return involves;
142 }
143 return 0;
144 }
145
146 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_set_dim_name(
147 __isl_take isl_qpolynomial_fold *fold,
148 enum isl_dim_type type, unsigned pos, const char *s)
149 {
150 int i;
151
152 fold = isl_qpolynomial_fold_cow(fold);
153 if (!fold)
154 return NULL;
155 fold->dim = isl_space_set_dim_name(fold->dim, type, pos, s);
156 if (!fold->dim)
157 goto error;
158
159 for (i = 0; i < fold->n; ++i) {
160 fold->qp[i] = isl_qpolynomial_set_dim_name(fold->qp[i],
161 type, pos, s);
162 if (!fold->qp[i])
163 goto error;
164 }
165
166 return fold;
167 error:
168 isl_qpolynomial_fold_free(fold);
169 return NULL;
170 }
171
172 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_drop_dims(
173 __isl_take isl_qpolynomial_fold *fold,
174 enum isl_dim_type type, unsigned first, unsigned n)
175 {
176 int i;
177 enum isl_dim_type set_type;
178
179 if (!fold)
180 return NULL;
181 if (n == 0)
182 return fold;
183
184 set_type = type == isl_dim_in ? isl_dim_set : type;
185
186 fold = isl_qpolynomial_fold_cow(fold);
187 if (!fold)
188 return NULL;
189 fold->dim = isl_space_drop_dims(fold->dim, set_type, first, n);
190 if (!fold->dim)
191 goto error;
192
193 for (i = 0; i < fold->n; ++i) {
194 fold->qp[i] = isl_qpolynomial_drop_dims(fold->qp[i],
195 type, first, n);
196 if (!fold->qp[i])
197 goto error;
198 }
199
200 return fold;
201 error:
202 isl_qpolynomial_fold_free(fold);
203 return NULL;
204 }
205
206 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_insert_dims(
207 __isl_take isl_qpolynomial_fold *fold,
208 enum isl_dim_type type, unsigned first, unsigned n)
209 {
210 int i;
211
212 if (!fold)
213 return NULL;
214 if (n == 0 && !isl_space_is_named_or_nested(fold->dim, type))
215 return fold;
216
217 fold = isl_qpolynomial_fold_cow(fold);
218 if (!fold)
219 return NULL;
220 fold->dim = isl_space_insert_dims(fold->dim, type, first, n);
221 if (!fold->dim)
222 goto error;
223
224 for (i = 0; i < fold->n; ++i) {
225 fold->qp[i] = isl_qpolynomial_insert_dims(fold->qp[i],
226 type, first, n);
227 if (!fold->qp[i])
228 goto error;
229 }
230
231 return fold;
232 error:
233 isl_qpolynomial_fold_free(fold);
234 return NULL;
235 }
236
237 static int isl_qpolynomial_cst_sign(__isl_keep isl_qpolynomial *qp)
238 {
239 struct isl_upoly_cst *cst;
240
241 cst = isl_upoly_as_cst(qp->upoly);
242 if (!cst)
243 return 0;
244
245 return isl_int_sgn(cst->n) < 0 ? -1 : 1;
246 }
247
248 static int isl_qpolynomial_aff_sign(__isl_keep isl_set *set,
249 __isl_keep isl_qpolynomial *qp)
250 {
251 enum isl_lp_result res;
252 isl_vec *aff;
253 isl_int opt;
254 int sgn = 0;
255
256 aff = isl_qpolynomial_extract_affine(qp);
257 if (!aff)
258 return 0;
259
260 isl_int_init(opt);
261
262 res = isl_set_solve_lp(set, 0, aff->el + 1, aff->el[0],
263 &opt, NULL, NULL);
264 if (res == isl_lp_error)
265 goto done;
266 if (res == isl_lp_empty ||
267 (res == isl_lp_ok && !isl_int_is_neg(opt))) {
268 sgn = 1;
269 goto done;
270 }
271
272 res = isl_set_solve_lp(set, 1, aff->el + 1, aff->el[0],
273 &opt, NULL, NULL);
274 if (res == isl_lp_ok && !isl_int_is_pos(opt))
275 sgn = -1;
276
277 done:
278 isl_int_clear(opt);
279 isl_vec_free(aff);
280 return sgn;
281 }
282
283 /* Determine, if possible, the sign of the quasipolynomial "qp" on
284 * the domain "set".
285 *
286 * If qp is a constant, then the problem is trivial.
287 * If qp is linear, then we check if the minimum of the corresponding
288 * affine constraint is non-negative or if the maximum is non-positive.
289 *
290 * Otherwise, we check if the outermost variable "v" has a lower bound "l"
291 * in "set". If so, we write qp(v,v') as
292 *
293 * q(v,v') * (v - l) + r(v')
294 *
295 * if q(v,v') and r(v') have the same known sign, then the original
296 * quasipolynomial has the same sign as well.
297 *
298 * Return
299 * -1 if qp <= 0
300 * 1 if qp >= 0
301 * 0 if unknown
302 */
303 static int isl_qpolynomial_sign(__isl_keep isl_set *set,
304 __isl_keep isl_qpolynomial *qp)
305 {
306 int d;
307 int i;
308 int is;
309 struct isl_upoly_rec *rec;
310 isl_vec *v;
311 isl_int l;
312 enum isl_lp_result res;
313 int sgn = 0;
314
315 is = isl_qpolynomial_is_cst(qp, NULL, NULL);
316 if (is < 0)
317 return 0;
318 if (is)
319 return isl_qpolynomial_cst_sign(qp);
320
321 is = isl_qpolynomial_is_affine(qp);
322 if (is < 0)
323 return 0;
324 if (is)
325 return isl_qpolynomial_aff_sign(set, qp);
326
327 if (qp->div->n_row > 0)
328 return 0;
329
330 rec = isl_upoly_as_rec(qp->upoly);
331 if (!rec)
332 return 0;
333
334 d = isl_space_dim(qp->dim, isl_dim_all);
335 v = isl_vec_alloc(set->ctx, 2 + d);
336 if (!v)
337 return 0;
338
339 isl_seq_clr(v->el + 1, 1 + d);
340 isl_int_set_si(v->el[0], 1);
341 isl_int_set_si(v->el[2 + qp->upoly->var], 1);
342
343 isl_int_init(l);
344
345 res = isl_set_solve_lp(set, 0, v->el + 1, v->el[0], &l, NULL, NULL);
346 if (res == isl_lp_ok) {
347 isl_qpolynomial *min;
348 isl_qpolynomial *base;
349 isl_qpolynomial *r, *q;
350 isl_qpolynomial *t;
351
352 min = isl_qpolynomial_cst_on_domain(isl_space_copy(qp->dim), l);
353 base = isl_qpolynomial_var_pow_on_domain(isl_space_copy(qp->dim),
354 qp->upoly->var, 1);
355
356 r = isl_qpolynomial_alloc(isl_space_copy(qp->dim), 0,
357 isl_upoly_copy(rec->p[rec->n - 1]));
358 q = isl_qpolynomial_copy(r);
359
360 for (i = rec->n - 2; i >= 0; --i) {
361 r = isl_qpolynomial_mul(r, isl_qpolynomial_copy(min));
362 t = isl_qpolynomial_alloc(isl_space_copy(qp->dim), 0,
363 isl_upoly_copy(rec->p[i]));
364 r = isl_qpolynomial_add(r, t);
365 if (i == 0)
366 break;
367 q = isl_qpolynomial_mul(q, isl_qpolynomial_copy(base));
368 q = isl_qpolynomial_add(q, isl_qpolynomial_copy(r));
369 }
370
371 if (isl_qpolynomial_is_zero(q))
372 sgn = isl_qpolynomial_sign(set, r);
373 else if (isl_qpolynomial_is_zero(r))
374 sgn = isl_qpolynomial_sign(set, q);
375 else {
376 int sgn_q, sgn_r;
377 sgn_r = isl_qpolynomial_sign(set, r);
378 sgn_q = isl_qpolynomial_sign(set, q);
379 if (sgn_r == sgn_q)
380 sgn = sgn_r;
381 }
382
383 isl_qpolynomial_free(min);
384 isl_qpolynomial_free(base);
385 isl_qpolynomial_free(q);
386 isl_qpolynomial_free(r);
387 }
388
389 isl_int_clear(l);
390
391 isl_vec_free(v);
392
393 return sgn;
394 }
395
396 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_fold_on_domain(
397 __isl_keep isl_set *set,
398 __isl_take isl_qpolynomial_fold *fold1,
399 __isl_take isl_qpolynomial_fold *fold2)
400 {
401 int i, j;
402 int n1;
403 struct isl_qpolynomial_fold *res = NULL;
404 int better;
405
406 if (!fold1 || !fold2)
407 goto error;
408
409 isl_assert(fold1->dim->ctx, fold1->type == fold2->type, goto error);
410 isl_assert(fold1->dim->ctx, isl_space_is_equal(fold1->dim, fold2->dim),
411 goto error);
412
413 better = fold1->type == isl_fold_max ? -1 : 1;
414
415 if (isl_qpolynomial_fold_is_empty(fold1)) {
416 isl_qpolynomial_fold_free(fold1);
417 return fold2;
418 }
419
420 if (isl_qpolynomial_fold_is_empty(fold2)) {
421 isl_qpolynomial_fold_free(fold2);
422 return fold1;
423 }
424
425 res = qpolynomial_fold_alloc(fold1->type, isl_space_copy(fold1->dim),
426 fold1->n + fold2->n);
427 if (!res)
428 goto error;
429
430 for (i = 0; i < fold1->n; ++i) {
431 res->qp[res->n] = isl_qpolynomial_copy(fold1->qp[i]);
432 if (!res->qp[res->n])
433 goto error;
434 res->n++;
435 }
436 n1 = res->n;
437
438 for (i = 0; i < fold2->n; ++i) {
439 for (j = n1 - 1; j >= 0; --j) {
440 isl_qpolynomial *d;
441 int sgn;
442 d = isl_qpolynomial_sub(
443 isl_qpolynomial_copy(res->qp[j]),
444 isl_qpolynomial_copy(fold2->qp[i]));
445 sgn = isl_qpolynomial_sign(set, d);
446 isl_qpolynomial_free(d);
447 if (sgn == 0)
448 continue;
449 if (sgn != better)
450 break;
451 isl_qpolynomial_free(res->qp[j]);
452 if (j != n1 - 1)
453 res->qp[j] = res->qp[n1 - 1];
454 n1--;
455 if (n1 != res->n - 1)
456 res->qp[n1] = res->qp[res->n - 1];
457 res->n--;
458 }
459 if (j >= 0)
460 continue;
461 res->qp[res->n] = isl_qpolynomial_copy(fold2->qp[i]);
462 if (!res->qp[res->n])
463 goto error;
464 res->n++;
465 }
466
467 isl_qpolynomial_fold_free(fold1);
468 isl_qpolynomial_fold_free(fold2);
469
470 return res;
471 error:
472 isl_qpolynomial_fold_free(res);
473 isl_qpolynomial_fold_free(fold1);
474 isl_qpolynomial_fold_free(fold2);
475 return NULL;
476 }
477
478 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_add_qpolynomial(
479 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_qpolynomial *qp)
480 {
481 int i;
482
483 if (!fold || !qp)
484 goto error;
485
486 if (isl_qpolynomial_is_zero(qp)) {
487 isl_qpolynomial_free(qp);
488 return fold;
489 }
490
491 fold = isl_qpolynomial_fold_cow(fold);
492 if (!fold)
493 goto error;
494
495 for (i = 0; i < fold->n; ++i) {
496 fold->qp[i] = isl_qpolynomial_add(fold->qp[i],
497 isl_qpolynomial_copy(qp));
498 if (!fold->qp[i])
499 goto error;
500 }
501
502 isl_qpolynomial_free(qp);
503 return fold;
504 error:
505 isl_qpolynomial_fold_free(fold);
506 isl_qpolynomial_free(qp);
507 return NULL;
508 }
509
510 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_add_on_domain(
511 __isl_keep isl_set *dom,
512 __isl_take isl_qpolynomial_fold *fold1,
513 __isl_take isl_qpolynomial_fold *fold2)
514 {
515 int i;
516 isl_qpolynomial_fold *res = NULL;
517
518 if (!fold1 || !fold2)
519 goto error;
520
521 if (isl_qpolynomial_fold_is_empty(fold1)) {
522 isl_qpolynomial_fold_free(fold1);
523 return fold2;
524 }
525
526 if (isl_qpolynomial_fold_is_empty(fold2)) {
527 isl_qpolynomial_fold_free(fold2);
528 return fold1;
529 }
530
531 if (fold1->n == 1 && fold2->n != 1)
532 return isl_qpolynomial_fold_add_on_domain(dom, fold2, fold1);
533
534 if (fold2->n == 1) {
535 res = isl_qpolynomial_fold_add_qpolynomial(fold1,
536 isl_qpolynomial_copy(fold2->qp[0]));
537 isl_qpolynomial_fold_free(fold2);
538 return res;
539 }
540
541 res = isl_qpolynomial_fold_add_qpolynomial(
542 isl_qpolynomial_fold_copy(fold1),
543 isl_qpolynomial_copy(fold2->qp[0]));
544
545 for (i = 1; i < fold2->n; ++i) {
546 isl_qpolynomial_fold *res_i;
547 res_i = isl_qpolynomial_fold_add_qpolynomial(
548 isl_qpolynomial_fold_copy(fold1),
549 isl_qpolynomial_copy(fold2->qp[i]));
550 res = isl_qpolynomial_fold_fold_on_domain(dom, res, res_i);
551 }
552
553 isl_qpolynomial_fold_free(fold1);
554 isl_qpolynomial_fold_free(fold2);
555 return res;
556 error:
557 isl_qpolynomial_fold_free(res);
558 isl_qpolynomial_fold_free(fold1);
559 isl_qpolynomial_fold_free(fold2);
560 return NULL;
561 }
562
563 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_substitute_equalities(
564 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_basic_set *eq)
565 {
566 int i;
567
568 if (!fold || !eq)
569 goto error;
570
571 fold = isl_qpolynomial_fold_cow(fold);
572 if (!fold)
573 return NULL;
574
575 for (i = 0; i < fold->n; ++i) {
576 fold->qp[i] = isl_qpolynomial_substitute_equalities(fold->qp[i],
577 isl_basic_set_copy(eq));
578 if (!fold->qp[i])
579 goto error;
580 }
581
582 isl_basic_set_free(eq);
583 return fold;
584 error:
585 isl_basic_set_free(eq);
586 isl_qpolynomial_fold_free(fold);
587 return NULL;
588 }
589
590 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_gist(
591 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *context)
592 {
593 int i;
594
595 if (!fold || !context)
596 goto error;
597
598 fold = isl_qpolynomial_fold_cow(fold);
599 if (!fold)
600 return NULL;
601
602 for (i = 0; i < fold->n; ++i) {
603 fold->qp[i] = isl_qpolynomial_gist(fold->qp[i],
604 isl_set_copy(context));
605 if (!fold->qp[i])
606 goto error;
607 }
608
609 isl_set_free(context);
610 return fold;
611 error:
612 isl_set_free(context);
613 isl_qpolynomial_fold_free(fold);
614 return NULL;
615 }
616
617 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_gist_params(
618 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *context)
619 {
620 isl_space *space = isl_qpolynomial_fold_get_domain_space(fold);
621 isl_set *dom_context = isl_set_universe(space);
622 dom_context = isl_set_intersect_params(dom_context, context);
623 return isl_qpolynomial_fold_gist(fold, dom_context);
624 }
625
626 #define HAS_TYPE
627
628 #undef PW
629 #define PW isl_pw_qpolynomial_fold
630 #undef EL
631 #define EL isl_qpolynomial_fold
632 #undef EL_IS_ZERO
633 #define EL_IS_ZERO is_empty
634 #undef ZERO
635 #define ZERO zero
636 #undef IS_ZERO
637 #define IS_ZERO is_zero
638 #undef FIELD
639 #define FIELD fold
640 #undef DEFAULT_IS_ZERO
641 #define DEFAULT_IS_ZERO 1
642
643 #define NO_NEG
644 #define NO_PULLBACK
645
646 #include <isl_pw_templ.c>
647
648 #undef UNION
649 #define UNION isl_union_pw_qpolynomial_fold
650 #undef PART
651 #define PART isl_pw_qpolynomial_fold
652 #undef PARTS
653 #define PARTS pw_qpolynomial_fold
654 #define ALIGN_DOMAIN
655
656 #define NO_SUB
657
658 #include <isl_union_templ.c>
659
660 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_empty(enum isl_fold type,
661 __isl_take isl_space *dim)
662 {
663 return qpolynomial_fold_alloc(type, dim, 0);
664 }
665
666 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_alloc(
667 enum isl_fold type, __isl_take isl_qpolynomial *qp)
668 {
669 isl_qpolynomial_fold *fold;
670
671 if (!qp)
672 return NULL;
673
674 fold = qpolynomial_fold_alloc(type, isl_space_copy(qp->dim), 1);
675 if (!fold)
676 goto error;
677
678 fold->qp[0] = qp;
679 fold->n++;
680
681 return fold;
682 error:
683 isl_qpolynomial_fold_free(fold);
684 isl_qpolynomial_free(qp);
685 return NULL;
686 }
687
688 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_copy(
689 __isl_keep isl_qpolynomial_fold *fold)
690 {
691 if (!fold)
692 return NULL;
693
694 fold->ref++;
695 return fold;
696 }
697
698 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_dup(
699 __isl_keep isl_qpolynomial_fold *fold)
700 {
701 int i;
702 isl_qpolynomial_fold *dup;
703
704 if (!fold)
705 return NULL;
706 dup = qpolynomial_fold_alloc(fold->type,
707 isl_space_copy(fold->dim), fold->n);
708 if (!dup)
709 return NULL;
710
711 dup->n = fold->n;
712 for (i = 0; i < fold->n; ++i) {
713 dup->qp[i] = isl_qpolynomial_copy(fold->qp[i]);
714 if (!dup->qp[i])
715 goto error;
716 }
717
718 return dup;
719 error:
720 isl_qpolynomial_fold_free(dup);
721 return NULL;
722 }
723
724 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_cow(
725 __isl_take isl_qpolynomial_fold *fold)
726 {
727 if (!fold)
728 return NULL;
729
730 if (fold->ref == 1)
731 return fold;
732 fold->ref--;
733 return isl_qpolynomial_fold_dup(fold);
734 }
735
736 void isl_qpolynomial_fold_free(__isl_take isl_qpolynomial_fold *fold)
737 {
738 int i;
739
740 if (!fold)
741 return;
742 if (--fold->ref > 0)
743 return;
744
745 for (i = 0; i < fold->n; ++i)
746 isl_qpolynomial_free(fold->qp[i]);
747 isl_space_free(fold->dim);
748 free(fold);
749 }
750
751 int isl_qpolynomial_fold_is_empty(__isl_keep isl_qpolynomial_fold *fold)
752 {
753 if (!fold)
754 return -1;
755
756 return fold->n == 0;
757 }
758
759 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_fold(
760 __isl_take isl_qpolynomial_fold *fold1,
761 __isl_take isl_qpolynomial_fold *fold2)
762 {
763 int i;
764 struct isl_qpolynomial_fold *res = NULL;
765
766 if (!fold1 || !fold2)
767 goto error;
768
769 isl_assert(fold1->dim->ctx, fold1->type == fold2->type, goto error);
770 isl_assert(fold1->dim->ctx, isl_space_is_equal(fold1->dim, fold2->dim),
771 goto error);
772
773 if (isl_qpolynomial_fold_is_empty(fold1)) {
774 isl_qpolynomial_fold_free(fold1);
775 return fold2;
776 }
777
778 if (isl_qpolynomial_fold_is_empty(fold2)) {
779 isl_qpolynomial_fold_free(fold2);
780 return fold1;
781 }
782
783 res = qpolynomial_fold_alloc(fold1->type, isl_space_copy(fold1->dim),
784 fold1->n + fold2->n);
785 if (!res)
786 goto error;
787
788 for (i = 0; i < fold1->n; ++i) {
789 res->qp[res->n] = isl_qpolynomial_copy(fold1->qp[i]);
790 if (!res->qp[res->n])
791 goto error;
792 res->n++;
793 }
794
795 for (i = 0; i < fold2->n; ++i) {
796 res->qp[res->n] = isl_qpolynomial_copy(fold2->qp[i]);
797 if (!res->qp[res->n])
798 goto error;
799 res->n++;
800 }
801
802 isl_qpolynomial_fold_free(fold1);
803 isl_qpolynomial_fold_free(fold2);
804
805 return res;
806 error:
807 isl_qpolynomial_fold_free(res);
808 isl_qpolynomial_fold_free(fold1);
809 isl_qpolynomial_fold_free(fold2);
810 return NULL;
811 }
812
813 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_fold(
814 __isl_take isl_pw_qpolynomial_fold *pw1,
815 __isl_take isl_pw_qpolynomial_fold *pw2)
816 {
817 int i, j, n;
818 struct isl_pw_qpolynomial_fold *res;
819 isl_set *set;
820
821 if (!pw1 || !pw2)
822 goto error;
823
824 isl_assert(pw1->dim->ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
825
826 if (isl_pw_qpolynomial_fold_is_zero(pw1)) {
827 isl_pw_qpolynomial_fold_free(pw1);
828 return pw2;
829 }
830
831 if (isl_pw_qpolynomial_fold_is_zero(pw2)) {
832 isl_pw_qpolynomial_fold_free(pw2);
833 return pw1;
834 }
835
836 if (pw1->type != pw2->type)
837 isl_die(pw1->dim->ctx, isl_error_invalid,
838 "fold types don't match", goto error);
839
840 n = (pw1->n + 1) * (pw2->n + 1);
841 res = isl_pw_qpolynomial_fold_alloc_size(isl_space_copy(pw1->dim),
842 pw1->type, n);
843
844 for (i = 0; i < pw1->n; ++i) {
845 set = isl_set_copy(pw1->p[i].set);
846 for (j = 0; j < pw2->n; ++j) {
847 struct isl_set *common;
848 isl_qpolynomial_fold *sum;
849 set = isl_set_subtract(set,
850 isl_set_copy(pw2->p[j].set));
851 common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
852 isl_set_copy(pw2->p[j].set));
853 if (isl_set_plain_is_empty(common)) {
854 isl_set_free(common);
855 continue;
856 }
857
858 sum = isl_qpolynomial_fold_fold_on_domain(common,
859 isl_qpolynomial_fold_copy(pw1->p[i].fold),
860 isl_qpolynomial_fold_copy(pw2->p[j].fold));
861
862 res = isl_pw_qpolynomial_fold_add_piece(res, common, sum);
863 }
864 res = isl_pw_qpolynomial_fold_add_piece(res, set,
865 isl_qpolynomial_fold_copy(pw1->p[i].fold));
866 }
867
868 for (j = 0; j < pw2->n; ++j) {
869 set = isl_set_copy(pw2->p[j].set);
870 for (i = 0; i < pw1->n; ++i)
871 set = isl_set_subtract(set, isl_set_copy(pw1->p[i].set));
872 res = isl_pw_qpolynomial_fold_add_piece(res, set,
873 isl_qpolynomial_fold_copy(pw2->p[j].fold));
874 }
875
876 isl_pw_qpolynomial_fold_free(pw1);
877 isl_pw_qpolynomial_fold_free(pw2);
878
879 return res;
880 error:
881 isl_pw_qpolynomial_fold_free(pw1);
882 isl_pw_qpolynomial_fold_free(pw2);
883 return NULL;
884 }
885
886 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
887 __isl_take isl_union_pw_qpolynomial_fold *u,
888 __isl_take isl_pw_qpolynomial_fold *part)
889 {
890 uint32_t hash;
891 struct isl_hash_table_entry *entry;
892
893 u = isl_union_pw_qpolynomial_fold_cow(u);
894
895 if (!part || !u)
896 goto error;
897
898 isl_assert(u->space->ctx,
899 isl_space_match(part->dim, isl_dim_param, u->space, isl_dim_param),
900 goto error);
901
902 hash = isl_space_get_hash(part->dim);
903 entry = isl_hash_table_find(u->space->ctx, &u->table, hash,
904 &has_same_domain_space, part->dim, 1);
905 if (!entry)
906 goto error;
907
908 if (!entry->data)
909 entry->data = part;
910 else {
911 entry->data = isl_pw_qpolynomial_fold_fold(entry->data,
912 isl_pw_qpolynomial_fold_copy(part));
913 if (!entry->data)
914 goto error;
915 isl_pw_qpolynomial_fold_free(part);
916 }
917
918 return u;
919 error:
920 isl_pw_qpolynomial_fold_free(part);
921 isl_union_pw_qpolynomial_fold_free(u);
922 return NULL;
923 }
924
925 static int fold_part(__isl_take isl_pw_qpolynomial_fold *part, void *user)
926 {
927 isl_union_pw_qpolynomial_fold **u;
928 u = (isl_union_pw_qpolynomial_fold **)user;
929
930 *u = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(*u, part);
931
932 return 0;
933 }
934
935 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold(
936 __isl_take isl_union_pw_qpolynomial_fold *u1,
937 __isl_take isl_union_pw_qpolynomial_fold *u2)
938 {
939 u1 = isl_union_pw_qpolynomial_fold_cow(u1);
940
941 if (!u1 || !u2)
942 goto error;
943
944 if (isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(u2,
945 &fold_part, &u1) < 0)
946 goto error;
947
948 isl_union_pw_qpolynomial_fold_free(u2);
949
950 return u1;
951 error:
952 isl_union_pw_qpolynomial_fold_free(u1);
953 isl_union_pw_qpolynomial_fold_free(u2);
954 return NULL;
955 }
956
957 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_from_pw_qpolynomial(
958 enum isl_fold type, __isl_take isl_pw_qpolynomial *pwqp)
959 {
960 int i;
961 isl_pw_qpolynomial_fold *pwf;
962
963 if (!pwqp)
964 return NULL;
965
966 pwf = isl_pw_qpolynomial_fold_alloc_size(isl_space_copy(pwqp->dim),
967 type, pwqp->n);
968
969 for (i = 0; i < pwqp->n; ++i)
970 pwf = isl_pw_qpolynomial_fold_add_piece(pwf,
971 isl_set_copy(pwqp->p[i].set),
972 isl_qpolynomial_fold_alloc(type,
973 isl_qpolynomial_copy(pwqp->p[i].qp)));
974
975 isl_pw_qpolynomial_free(pwqp);
976
977 return pwf;
978 }
979
980 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_add(
981 __isl_take isl_pw_qpolynomial_fold *pwf1,
982 __isl_take isl_pw_qpolynomial_fold *pwf2)
983 {
984 return isl_pw_qpolynomial_fold_union_add_(pwf1, pwf2);
985 }
986
987 int isl_qpolynomial_fold_plain_is_equal(__isl_keep isl_qpolynomial_fold *fold1,
988 __isl_keep isl_qpolynomial_fold *fold2)
989 {
990 int i;
991
992 if (!fold1 || !fold2)
993 return -1;
994
995 if (fold1->n != fold2->n)
996 return 0;
997
998 /* We probably want to sort the qps first... */
999 for (i = 0; i < fold1->n; ++i) {
1000 int eq = isl_qpolynomial_plain_is_equal(fold1->qp[i], fold2->qp[i]);
1001 if (eq < 0 || !eq)
1002 return eq;
1003 }
1004
1005 return 1;
1006 }
1007
1008 __isl_give isl_val *isl_qpolynomial_fold_eval(
1009 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_point *pnt)
1010 {
1011 isl_ctx *ctx;
1012 isl_val *v;
1013
1014 if (!fold || !pnt)
1015 goto error;
1016 ctx = isl_point_get_ctx(pnt);
1017 isl_assert(pnt->dim->ctx, isl_space_is_equal(pnt->dim, fold->dim), goto error);
1018 isl_assert(pnt->dim->ctx,
1019 fold->type == isl_fold_max || fold->type == isl_fold_min,
1020 goto error);
1021
1022 if (fold->n == 0)
1023 v = isl_val_zero(ctx);
1024 else {
1025 int i;
1026 v = isl_qpolynomial_eval(isl_qpolynomial_copy(fold->qp[0]),
1027 isl_point_copy(pnt));
1028 for (i = 1; i < fold->n; ++i) {
1029 isl_val *v_i;
1030 v_i = isl_qpolynomial_eval(
1031 isl_qpolynomial_copy(fold->qp[i]),
1032 isl_point_copy(pnt));
1033 if (fold->type == isl_fold_max)
1034 v = isl_val_max(v, v_i);
1035 else
1036 v = isl_val_min(v, v_i);
1037 }
1038 }
1039 isl_qpolynomial_fold_free(fold);
1040 isl_point_free(pnt);
1041
1042 return v;
1043 error:
1044 isl_qpolynomial_fold_free(fold);
1045 isl_point_free(pnt);
1046 return NULL;
1047 }
1048
1049 size_t isl_pw_qpolynomial_fold_size(__isl_keep isl_pw_qpolynomial_fold *pwf)
1050 {
1051 int i;
1052 size_t n = 0;
1053
1054 for (i = 0; i < pwf->n; ++i)
1055 n += pwf->p[i].fold->n;
1056
1057 return n;
1058 }
1059
1060 __isl_give isl_val *isl_qpolynomial_fold_opt_on_domain(
1061 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *set, int max)
1062 {
1063 int i;
1064 isl_val *opt;
1065
1066 if (!set || !fold)
1067 goto error;
1068
1069 if (fold->n == 0) {
1070 opt = isl_val_zero(isl_set_get_ctx(set));
1071 isl_set_free(set);
1072 isl_qpolynomial_fold_free(fold);
1073 return opt;
1074 }
1075
1076 opt = isl_qpolynomial_opt_on_domain(isl_qpolynomial_copy(fold->qp[0]),
1077 isl_set_copy(set), max);
1078 for (i = 1; i < fold->n; ++i) {
1079 isl_val *opt_i;
1080 opt_i = isl_qpolynomial_opt_on_domain(
1081 isl_qpolynomial_copy(fold->qp[i]),
1082 isl_set_copy(set), max);
1083 if (max)
1084 opt = isl_val_max(opt, opt_i);
1085 else
1086 opt = isl_val_min(opt, opt_i);
1087 }
1088
1089 isl_set_free(set);
1090 isl_qpolynomial_fold_free(fold);
1091
1092 return opt;
1093 error:
1094 isl_set_free(set);
1095 isl_qpolynomial_fold_free(fold);
1096 return NULL;
1097 }
1098
1099 /* Check whether for each quasi-polynomial in "fold2" there is
1100 * a quasi-polynomial in "fold1" that dominates it on "set".
1101 */
1102 static int qpolynomial_fold_covers_on_domain(__isl_keep isl_set *set,
1103 __isl_keep isl_qpolynomial_fold *fold1,
1104 __isl_keep isl_qpolynomial_fold *fold2)
1105 {
1106 int i, j;
1107 int covers;
1108
1109 if (!set || !fold1 || !fold2)
1110 return -1;
1111
1112 covers = fold1->type == isl_fold_max ? 1 : -1;
1113
1114 for (i = 0; i < fold2->n; ++i) {
1115 for (j = 0; j < fold1->n; ++j) {
1116 isl_qpolynomial *d;
1117 int sgn;
1118
1119 d = isl_qpolynomial_sub(
1120 isl_qpolynomial_copy(fold1->qp[j]),
1121 isl_qpolynomial_copy(fold2->qp[i]));
1122 sgn = isl_qpolynomial_sign(set, d);
1123 isl_qpolynomial_free(d);
1124 if (sgn == covers)
1125 break;
1126 }
1127 if (j >= fold1->n)
1128 return 0;
1129 }
1130
1131 return 1;
1132 }
1133
1134 /* Check whether "pwf1" dominated "pwf2", i.e., the domain of "pwf1" contains
1135 * that of "pwf2" and on each cell, the corresponding fold from pwf1 dominates
1136 * that of pwf2.
1137 */
1138 int isl_pw_qpolynomial_fold_covers(__isl_keep isl_pw_qpolynomial_fold *pwf1,
1139 __isl_keep isl_pw_qpolynomial_fold *pwf2)
1140 {
1141 int i, j;
1142 isl_set *dom1, *dom2;
1143 int is_subset;
1144
1145 if (!pwf1 || !pwf2)
1146 return -1;
1147
1148 if (pwf2->n == 0)
1149 return 1;
1150 if (pwf1->n == 0)
1151 return 0;
1152
1153 dom1 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf1));
1154 dom2 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf2));
1155 is_subset = isl_set_is_subset(dom2, dom1);
1156 isl_set_free(dom1);
1157 isl_set_free(dom2);
1158
1159 if (is_subset < 0 || !is_subset)
1160 return is_subset;
1161
1162 for (i = 0; i < pwf2->n; ++i) {
1163 for (j = 0; j < pwf1->n; ++j) {
1164 int is_empty;
1165 isl_set *common;
1166 int covers;
1167
1168 common = isl_set_intersect(isl_set_copy(pwf1->p[j].set),
1169 isl_set_copy(pwf2->p[i].set));
1170 is_empty = isl_set_is_empty(common);
1171 if (is_empty < 0 || is_empty) {
1172 isl_set_free(common);
1173 if (is_empty < 0)
1174 return -1;
1175 continue;
1176 }
1177 covers = qpolynomial_fold_covers_on_domain(common,
1178 pwf1->p[j].fold, pwf2->p[i].fold);
1179 isl_set_free(common);
1180 if (covers < 0 || !covers)
1181 return covers;
1182 }
1183 }
1184
1185 return 1;
1186 }
1187
1188 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_morph_domain(
1189 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_morph *morph)
1190 {
1191 int i;
1192 isl_ctx *ctx;
1193
1194 if (!fold || !morph)
1195 goto error;
1196
1197 ctx = fold->dim->ctx;
1198 isl_assert(ctx, isl_space_is_equal(fold->dim, morph->dom->dim), goto error);
1199
1200 fold = isl_qpolynomial_fold_cow(fold);
1201 if (!fold)
1202 goto error;
1203
1204 isl_space_free(fold->dim);
1205 fold->dim = isl_space_copy(morph->ran->dim);
1206 if (!fold->dim)
1207 goto error;
1208
1209 for (i = 0; i < fold->n; ++i) {
1210 fold->qp[i] = isl_qpolynomial_morph_domain(fold->qp[i],
1211 isl_morph_copy(morph));
1212 if (!fold->qp[i])
1213 goto error;
1214 }
1215
1216 isl_morph_free(morph);
1217
1218 return fold;
1219 error:
1220 isl_qpolynomial_fold_free(fold);
1221 isl_morph_free(morph);
1222 return NULL;
1223 }
1224
1225 enum isl_fold isl_qpolynomial_fold_get_type(__isl_keep isl_qpolynomial_fold *fold)
1226 {
1227 if (!fold)
1228 return isl_fold_list;
1229 return fold->type;
1230 }
1231
1232 enum isl_fold isl_union_pw_qpolynomial_fold_get_type(
1233 __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1234 {
1235 if (!upwf)
1236 return isl_fold_list;
1237 return upwf->type;
1238 }
1239
1240 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_lift(
1241 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_space *dim)
1242 {
1243 int i;
1244
1245 if (!fold || !dim)
1246 goto error;
1247
1248 if (isl_space_is_equal(fold->dim, dim)) {
1249 isl_space_free(dim);
1250 return fold;
1251 }
1252
1253 fold = isl_qpolynomial_fold_cow(fold);
1254 if (!fold)
1255 goto error;
1256
1257 isl_space_free(fold->dim);
1258 fold->dim = isl_space_copy(dim);
1259 if (!fold->dim)
1260 goto error;
1261
1262 for (i = 0; i < fold->n; ++i) {
1263 fold->qp[i] = isl_qpolynomial_lift(fold->qp[i],
1264 isl_space_copy(dim));
1265 if (!fold->qp[i])
1266 goto error;
1267 }
1268
1269 isl_space_free(dim);
1270
1271 return fold;
1272 error:
1273 isl_qpolynomial_fold_free(fold);
1274 isl_space_free(dim);
1275 return NULL;
1276 }
1277
1278 int isl_qpolynomial_fold_foreach_qpolynomial(
1279 __isl_keep isl_qpolynomial_fold *fold,
1280 int (*fn)(__isl_take isl_qpolynomial *qp, void *user), void *user)
1281 {
1282 int i;
1283
1284 if (!fold)
1285 return -1;
1286
1287 for (i = 0; i < fold->n; ++i)
1288 if (fn(isl_qpolynomial_copy(fold->qp[i]), user) < 0)
1289 return -1;
1290
1291 return 0;
1292 }
1293
1294 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_move_dims(
1295 __isl_take isl_qpolynomial_fold *fold,
1296 enum isl_dim_type dst_type, unsigned dst_pos,
1297 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1298 {
1299 int i;
1300
1301 if (n == 0)
1302 return fold;
1303
1304 fold = isl_qpolynomial_fold_cow(fold);
1305 if (!fold)
1306 return NULL;
1307
1308 fold->dim = isl_space_move_dims(fold->dim, dst_type, dst_pos,
1309 src_type, src_pos, n);
1310 if (!fold->dim)
1311 goto error;
1312
1313 for (i = 0; i < fold->n; ++i) {
1314 fold->qp[i] = isl_qpolynomial_move_dims(fold->qp[i],
1315 dst_type, dst_pos, src_type, src_pos, n);
1316 if (!fold->qp[i])
1317 goto error;
1318 }
1319
1320 return fold;
1321 error:
1322 isl_qpolynomial_fold_free(fold);
1323 return NULL;
1324 }
1325
1326 /* For each 0 <= i < "n", replace variable "first" + i of type "type"
1327 * in fold->qp[k] by subs[i].
1328 */
1329 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_substitute(
1330 __isl_take isl_qpolynomial_fold *fold,
1331 enum isl_dim_type type, unsigned first, unsigned n,
1332 __isl_keep isl_qpolynomial **subs)
1333 {
1334 int i;
1335
1336 if (n == 0)
1337 return fold;
1338
1339 fold = isl_qpolynomial_fold_cow(fold);
1340 if (!fold)
1341 return NULL;
1342
1343 for (i = 0; i < fold->n; ++i) {
1344 fold->qp[i] = isl_qpolynomial_substitute(fold->qp[i],
1345 type, first, n, subs);
1346 if (!fold->qp[i])
1347 goto error;
1348 }
1349
1350 return fold;
1351 error:
1352 isl_qpolynomial_fold_free(fold);
1353 return NULL;
1354 }
1355
1356 static int add_pwqp(__isl_take isl_pw_qpolynomial *pwqp, void *user)
1357 {
1358 isl_ctx *ctx;
1359 isl_pw_qpolynomial_fold *pwf;
1360 isl_union_pw_qpolynomial_fold **upwf;
1361 uint32_t hash;
1362 struct isl_hash_table_entry *entry;
1363
1364 upwf = (isl_union_pw_qpolynomial_fold **)user;
1365
1366 ctx = pwqp->dim->ctx;
1367 hash = isl_space_get_hash(pwqp->dim);
1368 entry = isl_hash_table_find(ctx, &(*upwf)->table, hash,
1369 &has_same_domain_space, pwqp->dim, 1);
1370 if (!entry)
1371 goto error;
1372
1373 pwf = isl_pw_qpolynomial_fold_from_pw_qpolynomial((*upwf)->type, pwqp);
1374 if (!entry->data)
1375 entry->data = pwf;
1376 else {
1377 entry->data = isl_pw_qpolynomial_fold_add(entry->data, pwf);
1378 if (!entry->data)
1379 return -1;
1380 if (isl_pw_qpolynomial_fold_is_zero(entry->data)) {
1381 isl_pw_qpolynomial_fold_free(entry->data);
1382 isl_hash_table_remove(ctx, &(*upwf)->table, entry);
1383 }
1384 }
1385
1386 return 0;
1387 error:
1388 isl_pw_qpolynomial_free(pwqp);
1389 return -1;
1390 }
1391
1392 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_add_union_pw_qpolynomial(
1393 __isl_take isl_union_pw_qpolynomial_fold *upwf,
1394 __isl_take isl_union_pw_qpolynomial *upwqp)
1395 {
1396 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1397 isl_union_pw_qpolynomial_get_space(upwqp));
1398 upwqp = isl_union_pw_qpolynomial_align_params(upwqp,
1399 isl_union_pw_qpolynomial_fold_get_space(upwf));
1400
1401 upwf = isl_union_pw_qpolynomial_fold_cow(upwf);
1402 if (!upwf || !upwqp)
1403 goto error;
1404
1405 if (isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &add_pwqp,
1406 &upwf) < 0)
1407 goto error;
1408
1409 isl_union_pw_qpolynomial_free(upwqp);
1410
1411 return upwf;
1412 error:
1413 isl_union_pw_qpolynomial_fold_free(upwf);
1414 isl_union_pw_qpolynomial_free(upwqp);
1415 return NULL;
1416 }
1417
1418 static int join_compatible(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1419 {
1420 int m;
1421 m = isl_space_match(dim1, isl_dim_param, dim2, isl_dim_param);
1422 if (m < 0 || !m)
1423 return m;
1424 return isl_space_tuple_is_equal(dim1, isl_dim_out, dim2, isl_dim_in);
1425 }
1426
1427 /* Compute the intersection of the range of the map and the domain
1428 * of the piecewise quasipolynomial reduction and then compute a bound
1429 * on the associated quasipolynomial reduction over all elements
1430 * in this intersection.
1431 *
1432 * We first introduce some unconstrained dimensions in the
1433 * piecewise quasipolynomial, intersect the resulting domain
1434 * with the wrapped map and the compute the sum.
1435 */
1436 __isl_give isl_pw_qpolynomial_fold *isl_map_apply_pw_qpolynomial_fold(
1437 __isl_take isl_map *map, __isl_take isl_pw_qpolynomial_fold *pwf,
1438 int *tight)
1439 {
1440 isl_ctx *ctx;
1441 isl_set *dom;
1442 isl_space *map_dim;
1443 isl_space *pwf_dim;
1444 unsigned n_in;
1445 int ok;
1446
1447 ctx = isl_map_get_ctx(map);
1448 if (!ctx)
1449 goto error;
1450
1451 map_dim = isl_map_get_space(map);
1452 pwf_dim = isl_pw_qpolynomial_fold_get_space(pwf);
1453 ok = join_compatible(map_dim, pwf_dim);
1454 isl_space_free(map_dim);
1455 isl_space_free(pwf_dim);
1456 if (!ok)
1457 isl_die(ctx, isl_error_invalid, "incompatible dimensions",
1458 goto error);
1459
1460 n_in = isl_map_dim(map, isl_dim_in);
1461 pwf = isl_pw_qpolynomial_fold_insert_dims(pwf, isl_dim_in, 0, n_in);
1462
1463 dom = isl_map_wrap(map);
1464 pwf = isl_pw_qpolynomial_fold_reset_domain_space(pwf,
1465 isl_set_get_space(dom));
1466
1467 pwf = isl_pw_qpolynomial_fold_intersect_domain(pwf, dom);
1468 pwf = isl_pw_qpolynomial_fold_bound(pwf, tight);
1469
1470 return pwf;
1471 error:
1472 isl_map_free(map);
1473 isl_pw_qpolynomial_fold_free(pwf);
1474 return NULL;
1475 }
1476
1477 __isl_give isl_pw_qpolynomial_fold *isl_set_apply_pw_qpolynomial_fold(
1478 __isl_take isl_set *set, __isl_take isl_pw_qpolynomial_fold *pwf,
1479 int *tight)
1480 {
1481 return isl_map_apply_pw_qpolynomial_fold(set, pwf, tight);
1482 }
1483
1484 struct isl_apply_fold_data {
1485 isl_union_pw_qpolynomial_fold *upwf;
1486 isl_union_pw_qpolynomial_fold *res;
1487 isl_map *map;
1488 int tight;
1489 };
1490
1491 static int pw_qpolynomial_fold_apply(__isl_take isl_pw_qpolynomial_fold *pwf,
1492 void *user)
1493 {
1494 isl_space *map_dim;
1495 isl_space *pwf_dim;
1496 struct isl_apply_fold_data *data = user;
1497 int ok;
1498
1499 map_dim = isl_map_get_space(data->map);
1500 pwf_dim = isl_pw_qpolynomial_fold_get_space(pwf);
1501 ok = join_compatible(map_dim, pwf_dim);
1502 isl_space_free(map_dim);
1503 isl_space_free(pwf_dim);
1504
1505 if (ok) {
1506 pwf = isl_map_apply_pw_qpolynomial_fold(isl_map_copy(data->map),
1507 pwf, data->tight ? &data->tight : NULL);
1508 data->res = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
1509 data->res, pwf);
1510 } else
1511 isl_pw_qpolynomial_fold_free(pwf);
1512
1513 return 0;
1514 }
1515
1516 static int map_apply(__isl_take isl_map *map, void *user)
1517 {
1518 struct isl_apply_fold_data *data = user;
1519 int r;
1520
1521 data->map = map;
1522 r = isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(
1523 data->upwf, &pw_qpolynomial_fold_apply, data);
1524
1525 isl_map_free(map);
1526 return r;
1527 }
1528
1529 __isl_give isl_union_pw_qpolynomial_fold *isl_union_map_apply_union_pw_qpolynomial_fold(
1530 __isl_take isl_union_map *umap,
1531 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1532 {
1533 isl_space *dim;
1534 enum isl_fold type;
1535 struct isl_apply_fold_data data;
1536
1537 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1538 isl_union_map_get_space(umap));
1539 umap = isl_union_map_align_params(umap,
1540 isl_union_pw_qpolynomial_fold_get_space(upwf));
1541
1542 data.upwf = upwf;
1543 data.tight = tight ? 1 : 0;
1544 dim = isl_union_pw_qpolynomial_fold_get_space(upwf);
1545 type = isl_union_pw_qpolynomial_fold_get_type(upwf);
1546 data.res = isl_union_pw_qpolynomial_fold_zero(dim, type);
1547 if (isl_union_map_foreach_map(umap, &map_apply, &data) < 0)
1548 goto error;
1549
1550 isl_union_map_free(umap);
1551 isl_union_pw_qpolynomial_fold_free(upwf);
1552
1553 if (tight)
1554 *tight = data.tight;
1555
1556 return data.res;
1557 error:
1558 isl_union_map_free(umap);
1559 isl_union_pw_qpolynomial_fold_free(upwf);
1560 isl_union_pw_qpolynomial_fold_free(data.res);
1561 return NULL;
1562 }
1563
1564 __isl_give isl_union_pw_qpolynomial_fold *isl_union_set_apply_union_pw_qpolynomial_fold(
1565 __isl_take isl_union_set *uset,
1566 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1567 {
1568 return isl_union_map_apply_union_pw_qpolynomial_fold(uset, upwf, tight);
1569 }
1570
1571 /* Reorder the dimension of "fold" according to the given reordering.
1572 */
1573 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_realign_domain(
1574 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_reordering *r)
1575 {
1576 int i;
1577
1578 fold = isl_qpolynomial_fold_cow(fold);
1579 if (!fold || !r)
1580 goto error;
1581
1582 for (i = 0; i < fold->n; ++i) {
1583 fold->qp[i] = isl_qpolynomial_realign_domain(fold->qp[i],
1584 isl_reordering_copy(r));
1585 if (!fold->qp[i])
1586 goto error;
1587 }
1588
1589 fold = isl_qpolynomial_fold_reset_domain_space(fold,
1590 isl_space_copy(r->dim));
1591
1592 isl_reordering_free(r);
1593
1594 return fold;
1595 error:
1596 isl_qpolynomial_fold_free(fold);
1597 isl_reordering_free(r);
1598 return NULL;
1599 }
1600
1601 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_mul_isl_int(
1602 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1603 {
1604 int i;
1605
1606 if (isl_int_is_one(v))
1607 return fold;
1608 if (fold && isl_int_is_zero(v)) {
1609 isl_qpolynomial_fold *zero;
1610 isl_space *dim = isl_space_copy(fold->dim);
1611 zero = isl_qpolynomial_fold_empty(fold->type, dim);
1612 isl_qpolynomial_fold_free(fold);
1613 return zero;
1614 }
1615
1616 fold = isl_qpolynomial_fold_cow(fold);
1617 if (!fold)
1618 return NULL;
1619
1620 if (isl_int_is_neg(v))
1621 fold->type = isl_fold_type_negate(fold->type);
1622 for (i = 0; i < fold->n; ++i) {
1623 fold->qp[i] = isl_qpolynomial_mul_isl_int(fold->qp[i], v);
1624 if (!fold->qp[i])
1625 goto error;
1626 }
1627
1628 return fold;
1629 error:
1630 isl_qpolynomial_fold_free(fold);
1631 return NULL;
1632 }
1633
1634 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_scale(
1635 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1636 {
1637 return isl_qpolynomial_fold_mul_isl_int(fold, v);
1638 }
1639
1640 /* Multiply "fold" by "v".
1641 */
1642 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_scale_val(
1643 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_val *v)
1644 {
1645 int i;
1646
1647 if (!fold || !v)
1648 goto error;
1649
1650 if (isl_val_is_one(v)) {
1651 isl_val_free(v);
1652 return fold;
1653 }
1654 if (isl_val_is_zero(v)) {
1655 isl_qpolynomial_fold *zero;
1656 isl_space *space = isl_qpolynomial_fold_get_domain_space(fold);
1657 zero = isl_qpolynomial_fold_empty(fold->type, space);
1658 isl_qpolynomial_fold_free(fold);
1659 isl_val_free(v);
1660 return zero;
1661 }
1662 if (!isl_val_is_rat(v))
1663 isl_die(isl_qpolynomial_fold_get_ctx(fold), isl_error_invalid,
1664 "expecting rational factor", goto error);
1665
1666 fold = isl_qpolynomial_fold_cow(fold);
1667 if (!fold)
1668 goto error;
1669
1670 if (isl_val_is_neg(v))
1671 fold->type = isl_fold_type_negate(fold->type);
1672 for (i = 0; i < fold->n; ++i) {
1673 fold->qp[i] = isl_qpolynomial_scale_val(fold->qp[i],
1674 isl_val_copy(v));
1675 if (!fold->qp[i])
1676 goto error;
1677 }
1678
1679 isl_val_free(v);
1680 return fold;
1681 error:
1682 isl_val_free(v);
1683 isl_qpolynomial_fold_free(fold);
1684 return NULL;
1685 }
Integer set library