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isl_printer_print_{basic_,}{set,map}: don't start new line in omega format
[isl.git] / isl_fold.c
blobba93a69822c1ccdf6a53019a46a128a27fa9ff28
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.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 #define NO_PULLBACK
642
643 #include <isl_pw_templ.c>
644
645 #undef UNION
646 #define UNION isl_union_pw_qpolynomial_fold
647 #undef PART
648 #define PART isl_pw_qpolynomial_fold
649 #undef PARTS
650 #define PARTS pw_qpolynomial_fold
651 #define ALIGN_DOMAIN
652
653 #include <isl_union_templ.c>
654
655 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_empty(enum isl_fold type,
656 __isl_take isl_space *dim)
657 {
658 return qpolynomial_fold_alloc(type, dim, 0);
659 }
660
661 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_alloc(
662 enum isl_fold type, __isl_take isl_qpolynomial *qp)
663 {
664 isl_qpolynomial_fold *fold;
665
666 if (!qp)
667 return NULL;
668
669 fold = qpolynomial_fold_alloc(type, isl_space_copy(qp->dim), 1);
670 if (!fold)
671 goto error;
672
673 fold->qp[0] = qp;
674 fold->n++;
675
676 return fold;
677 error:
678 isl_qpolynomial_fold_free(fold);
679 isl_qpolynomial_free(qp);
680 return NULL;
681 }
682
683 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_copy(
684 __isl_keep isl_qpolynomial_fold *fold)
685 {
686 if (!fold)
687 return NULL;
688
689 fold->ref++;
690 return fold;
691 }
692
693 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_dup(
694 __isl_keep isl_qpolynomial_fold *fold)
695 {
696 int i;
697 isl_qpolynomial_fold *dup;
698
699 if (!fold)
700 return NULL;
701 dup = qpolynomial_fold_alloc(fold->type,
702 isl_space_copy(fold->dim), fold->n);
703 if (!dup)
704 return NULL;
705
706 dup->n = fold->n;
707 for (i = 0; i < fold->n; ++i) {
708 dup->qp[i] = isl_qpolynomial_copy(fold->qp[i]);
709 if (!dup->qp[i])
710 goto error;
711 }
712
713 return dup;
714 error:
715 isl_qpolynomial_fold_free(dup);
716 return NULL;
717 }
718
719 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_cow(
720 __isl_take isl_qpolynomial_fold *fold)
721 {
722 if (!fold)
723 return NULL;
724
725 if (fold->ref == 1)
726 return fold;
727 fold->ref--;
728 return isl_qpolynomial_fold_dup(fold);
729 }
730
731 void isl_qpolynomial_fold_free(__isl_take isl_qpolynomial_fold *fold)
732 {
733 int i;
734
735 if (!fold)
736 return;
737 if (--fold->ref > 0)
738 return;
739
740 for (i = 0; i < fold->n; ++i)
741 isl_qpolynomial_free(fold->qp[i]);
742 isl_space_free(fold->dim);
743 free(fold);
744 }
745
746 int isl_qpolynomial_fold_is_empty(__isl_keep isl_qpolynomial_fold *fold)
747 {
748 if (!fold)
749 return -1;
750
751 return fold->n == 0;
752 }
753
754 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_fold(
755 __isl_take isl_qpolynomial_fold *fold1,
756 __isl_take isl_qpolynomial_fold *fold2)
757 {
758 int i;
759 struct isl_qpolynomial_fold *res = NULL;
760
761 if (!fold1 || !fold2)
762 goto error;
763
764 isl_assert(fold1->dim->ctx, fold1->type == fold2->type, goto error);
765 isl_assert(fold1->dim->ctx, isl_space_is_equal(fold1->dim, fold2->dim),
766 goto error);
767
768 if (isl_qpolynomial_fold_is_empty(fold1)) {
769 isl_qpolynomial_fold_free(fold1);
770 return fold2;
771 }
772
773 if (isl_qpolynomial_fold_is_empty(fold2)) {
774 isl_qpolynomial_fold_free(fold2);
775 return fold1;
776 }
777
778 res = qpolynomial_fold_alloc(fold1->type, isl_space_copy(fold1->dim),
779 fold1->n + fold2->n);
780 if (!res)
781 goto error;
782
783 for (i = 0; i < fold1->n; ++i) {
784 res->qp[res->n] = isl_qpolynomial_copy(fold1->qp[i]);
785 if (!res->qp[res->n])
786 goto error;
787 res->n++;
788 }
789
790 for (i = 0; i < fold2->n; ++i) {
791 res->qp[res->n] = isl_qpolynomial_copy(fold2->qp[i]);
792 if (!res->qp[res->n])
793 goto error;
794 res->n++;
795 }
796
797 isl_qpolynomial_fold_free(fold1);
798 isl_qpolynomial_fold_free(fold2);
799
800 return res;
801 error:
802 isl_qpolynomial_fold_free(res);
803 isl_qpolynomial_fold_free(fold1);
804 isl_qpolynomial_fold_free(fold2);
805 return NULL;
806 }
807
808 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_fold(
809 __isl_take isl_pw_qpolynomial_fold *pw1,
810 __isl_take isl_pw_qpolynomial_fold *pw2)
811 {
812 int i, j, n;
813 struct isl_pw_qpolynomial_fold *res;
814 isl_set *set;
815
816 if (!pw1 || !pw2)
817 goto error;
818
819 isl_assert(pw1->dim->ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
820
821 if (isl_pw_qpolynomial_fold_is_zero(pw1)) {
822 isl_pw_qpolynomial_fold_free(pw1);
823 return pw2;
824 }
825
826 if (isl_pw_qpolynomial_fold_is_zero(pw2)) {
827 isl_pw_qpolynomial_fold_free(pw2);
828 return pw1;
829 }
830
831 if (pw1->type != pw2->type)
832 isl_die(pw1->dim->ctx, isl_error_invalid,
833 "fold types don't match", goto error);
834
835 n = (pw1->n + 1) * (pw2->n + 1);
836 res = isl_pw_qpolynomial_fold_alloc_size(isl_space_copy(pw1->dim),
837 pw1->type, n);
838
839 for (i = 0; i < pw1->n; ++i) {
840 set = isl_set_copy(pw1->p[i].set);
841 for (j = 0; j < pw2->n; ++j) {
842 struct isl_set *common;
843 isl_qpolynomial_fold *sum;
844 set = isl_set_subtract(set,
845 isl_set_copy(pw2->p[j].set));
846 common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
847 isl_set_copy(pw2->p[j].set));
848 if (isl_set_plain_is_empty(common)) {
849 isl_set_free(common);
850 continue;
851 }
852
853 sum = isl_qpolynomial_fold_fold_on_domain(common,
854 isl_qpolynomial_fold_copy(pw1->p[i].fold),
855 isl_qpolynomial_fold_copy(pw2->p[j].fold));
856
857 res = isl_pw_qpolynomial_fold_add_piece(res, common, sum);
858 }
859 res = isl_pw_qpolynomial_fold_add_piece(res, set,
860 isl_qpolynomial_fold_copy(pw1->p[i].fold));
861 }
862
863 for (j = 0; j < pw2->n; ++j) {
864 set = isl_set_copy(pw2->p[j].set);
865 for (i = 0; i < pw1->n; ++i)
866 set = isl_set_subtract(set, isl_set_copy(pw1->p[i].set));
867 res = isl_pw_qpolynomial_fold_add_piece(res, set,
868 isl_qpolynomial_fold_copy(pw2->p[j].fold));
869 }
870
871 isl_pw_qpolynomial_fold_free(pw1);
872 isl_pw_qpolynomial_fold_free(pw2);
873
874 return res;
875 error:
876 isl_pw_qpolynomial_fold_free(pw1);
877 isl_pw_qpolynomial_fold_free(pw2);
878 return NULL;
879 }
880
881 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
882 __isl_take isl_union_pw_qpolynomial_fold *u,
883 __isl_take isl_pw_qpolynomial_fold *part)
884 {
885 uint32_t hash;
886 struct isl_hash_table_entry *entry;
887
888 u = isl_union_pw_qpolynomial_fold_cow(u);
889
890 if (!part || !u)
891 goto error;
892
893 isl_assert(u->dim->ctx, isl_space_match(part->dim, isl_dim_param, u->dim,
894 isl_dim_param), goto error);
895
896 hash = isl_space_get_hash(part->dim);
897 entry = isl_hash_table_find(u->dim->ctx, &u->table, hash,
898 &has_dim, part->dim, 1);
899 if (!entry)
900 goto error;
901
902 if (!entry->data)
903 entry->data = part;
904 else {
905 entry->data = isl_pw_qpolynomial_fold_fold(entry->data,
906 isl_pw_qpolynomial_fold_copy(part));
907 if (!entry->data)
908 goto error;
909 isl_pw_qpolynomial_fold_free(part);
910 }
911
912 return u;
913 error:
914 isl_pw_qpolynomial_fold_free(part);
915 isl_union_pw_qpolynomial_fold_free(u);
916 return NULL;
917 }
918
919 static int fold_part(__isl_take isl_pw_qpolynomial_fold *part, void *user)
920 {
921 isl_union_pw_qpolynomial_fold **u;
922 u = (isl_union_pw_qpolynomial_fold **)user;
923
924 *u = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(*u, part);
925
926 return 0;
927 }
928
929 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold(
930 __isl_take isl_union_pw_qpolynomial_fold *u1,
931 __isl_take isl_union_pw_qpolynomial_fold *u2)
932 {
933 u1 = isl_union_pw_qpolynomial_fold_cow(u1);
934
935 if (!u1 || !u2)
936 goto error;
937
938 if (isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(u2,
939 &fold_part, &u1) < 0)
940 goto error;
941
942 isl_union_pw_qpolynomial_fold_free(u2);
943
944 return u1;
945 error:
946 isl_union_pw_qpolynomial_fold_free(u1);
947 isl_union_pw_qpolynomial_fold_free(u2);
948 return NULL;
949 }
950
951 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_from_pw_qpolynomial(
952 enum isl_fold type, __isl_take isl_pw_qpolynomial *pwqp)
953 {
954 int i;
955 isl_pw_qpolynomial_fold *pwf;
956
957 if (!pwqp)
958 return NULL;
959
960 pwf = isl_pw_qpolynomial_fold_alloc_size(isl_space_copy(pwqp->dim),
961 type, pwqp->n);
962
963 for (i = 0; i < pwqp->n; ++i)
964 pwf = isl_pw_qpolynomial_fold_add_piece(pwf,
965 isl_set_copy(pwqp->p[i].set),
966 isl_qpolynomial_fold_alloc(type,
967 isl_qpolynomial_copy(pwqp->p[i].qp)));
968
969 isl_pw_qpolynomial_free(pwqp);
970
971 return pwf;
972 }
973
974 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_add(
975 __isl_take isl_pw_qpolynomial_fold *pwf1,
976 __isl_take isl_pw_qpolynomial_fold *pwf2)
977 {
978 return isl_pw_qpolynomial_fold_union_add_(pwf1, pwf2);
979 }
980
981 int isl_qpolynomial_fold_plain_is_equal(__isl_keep isl_qpolynomial_fold *fold1,
982 __isl_keep isl_qpolynomial_fold *fold2)
983 {
984 int i;
985
986 if (!fold1 || !fold2)
987 return -1;
988
989 if (fold1->n != fold2->n)
990 return 0;
991
992 /* We probably want to sort the qps first... */
993 for (i = 0; i < fold1->n; ++i) {
994 int eq = isl_qpolynomial_plain_is_equal(fold1->qp[i], fold2->qp[i]);
995 if (eq < 0 || !eq)
996 return eq;
997 }
998
999 return 1;
1000 }
1001
1002 __isl_give isl_qpolynomial *isl_qpolynomial_fold_eval(
1003 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_point *pnt)
1004 {
1005 isl_qpolynomial *qp;
1006
1007 if (!fold || !pnt)
1008 goto error;
1009 isl_assert(pnt->dim->ctx, isl_space_is_equal(pnt->dim, fold->dim), goto error);
1010 isl_assert(pnt->dim->ctx,
1011 fold->type == isl_fold_max || fold->type == isl_fold_min,
1012 goto error);
1013
1014 if (fold->n == 0)
1015 qp = isl_qpolynomial_zero_on_domain(isl_space_copy(fold->dim));
1016 else {
1017 int i;
1018 qp = isl_qpolynomial_eval(isl_qpolynomial_copy(fold->qp[0]),
1019 isl_point_copy(pnt));
1020 for (i = 1; i < fold->n; ++i) {
1021 isl_qpolynomial *qp_i;
1022 qp_i = isl_qpolynomial_eval(
1023 isl_qpolynomial_copy(fold->qp[i]),
1024 isl_point_copy(pnt));
1025 if (fold->type == isl_fold_max)
1026 qp = isl_qpolynomial_max_cst(qp, qp_i);
1027 else
1028 qp = isl_qpolynomial_min_cst(qp, qp_i);
1029 }
1030 }
1031 isl_qpolynomial_fold_free(fold);
1032 isl_point_free(pnt);
1033
1034 return qp;
1035 error:
1036 isl_qpolynomial_fold_free(fold);
1037 isl_point_free(pnt);
1038 return NULL;
1039 }
1040
1041 size_t isl_pw_qpolynomial_fold_size(__isl_keep isl_pw_qpolynomial_fold *pwf)
1042 {
1043 int i;
1044 size_t n = 0;
1045
1046 for (i = 0; i < pwf->n; ++i)
1047 n += pwf->p[i].fold->n;
1048
1049 return n;
1050 }
1051
1052 __isl_give isl_qpolynomial *isl_qpolynomial_fold_opt_on_domain(
1053 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *set, int max)
1054 {
1055 int i;
1056 isl_qpolynomial *opt;
1057
1058 if (!set || !fold)
1059 goto error;
1060
1061 if (fold->n == 0) {
1062 isl_space *dim = isl_space_copy(fold->dim);
1063 isl_set_free(set);
1064 isl_qpolynomial_fold_free(fold);
1065 return isl_qpolynomial_zero_on_domain(dim);
1066 }
1067
1068 opt = isl_qpolynomial_opt_on_domain(isl_qpolynomial_copy(fold->qp[0]),
1069 isl_set_copy(set), max);
1070 for (i = 1; i < fold->n; ++i) {
1071 isl_qpolynomial *opt_i;
1072 opt_i = isl_qpolynomial_opt_on_domain(
1073 isl_qpolynomial_copy(fold->qp[i]),
1074 isl_set_copy(set), max);
1075 if (max)
1076 opt = isl_qpolynomial_max_cst(opt, opt_i);
1077 else
1078 opt = isl_qpolynomial_min_cst(opt, opt_i);
1079 }
1080
1081 isl_set_free(set);
1082 isl_qpolynomial_fold_free(fold);
1083
1084 return opt;
1085 error:
1086 isl_set_free(set);
1087 isl_qpolynomial_fold_free(fold);
1088 return NULL;
1089 }
1090
1091 /* Check whether for each quasi-polynomial in "fold2" there is
1092 * a quasi-polynomial in "fold1" that dominates it on "set".
1093 */
1094 static int qpolynomial_fold_covers_on_domain(__isl_keep isl_set *set,
1095 __isl_keep isl_qpolynomial_fold *fold1,
1096 __isl_keep isl_qpolynomial_fold *fold2)
1097 {
1098 int i, j;
1099 int covers;
1100
1101 if (!set || !fold1 || !fold2)
1102 return -1;
1103
1104 covers = fold1->type == isl_fold_max ? 1 : -1;
1105
1106 for (i = 0; i < fold2->n; ++i) {
1107 for (j = 0; j < fold1->n; ++j) {
1108 isl_qpolynomial *d;
1109 int sgn;
1110
1111 d = isl_qpolynomial_sub(
1112 isl_qpolynomial_copy(fold1->qp[j]),
1113 isl_qpolynomial_copy(fold2->qp[i]));
1114 sgn = isl_qpolynomial_sign(set, d);
1115 isl_qpolynomial_free(d);
1116 if (sgn == covers)
1117 break;
1118 }
1119 if (j >= fold1->n)
1120 return 0;
1121 }
1122
1123 return 1;
1124 }
1125
1126 /* Check whether "pwf1" dominated "pwf2", i.e., the domain of "pwf1" contains
1127 * that of "pwf2" and on each cell, the corresponding fold from pwf1 dominates
1128 * that of pwf2.
1129 */
1130 int isl_pw_qpolynomial_fold_covers(__isl_keep isl_pw_qpolynomial_fold *pwf1,
1131 __isl_keep isl_pw_qpolynomial_fold *pwf2)
1132 {
1133 int i, j;
1134 isl_set *dom1, *dom2;
1135 int is_subset;
1136
1137 if (!pwf1 || !pwf2)
1138 return -1;
1139
1140 if (pwf2->n == 0)
1141 return 1;
1142 if (pwf1->n == 0)
1143 return 0;
1144
1145 dom1 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf1));
1146 dom2 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf2));
1147 is_subset = isl_set_is_subset(dom2, dom1);
1148 isl_set_free(dom1);
1149 isl_set_free(dom2);
1150
1151 if (is_subset < 0 || !is_subset)
1152 return is_subset;
1153
1154 for (i = 0; i < pwf2->n; ++i) {
1155 for (j = 0; j < pwf1->n; ++j) {
1156 int is_empty;
1157 isl_set *common;
1158 int covers;
1159
1160 common = isl_set_intersect(isl_set_copy(pwf1->p[j].set),
1161 isl_set_copy(pwf2->p[i].set));
1162 is_empty = isl_set_is_empty(common);
1163 if (is_empty < 0 || is_empty) {
1164 isl_set_free(common);
1165 if (is_empty < 0)
1166 return -1;
1167 continue;
1168 }
1169 covers = qpolynomial_fold_covers_on_domain(common,
1170 pwf1->p[j].fold, pwf2->p[i].fold);
1171 isl_set_free(common);
1172 if (covers < 0 || !covers)
1173 return covers;
1174 }
1175 }
1176
1177 return 1;
1178 }
1179
1180 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_morph_domain(
1181 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_morph *morph)
1182 {
1183 int i;
1184 isl_ctx *ctx;
1185
1186 if (!fold || !morph)
1187 goto error;
1188
1189 ctx = fold->dim->ctx;
1190 isl_assert(ctx, isl_space_is_equal(fold->dim, morph->dom->dim), goto error);
1191
1192 fold = isl_qpolynomial_fold_cow(fold);
1193 if (!fold)
1194 goto error;
1195
1196 isl_space_free(fold->dim);
1197 fold->dim = isl_space_copy(morph->ran->dim);
1198 if (!fold->dim)
1199 goto error;
1200
1201 for (i = 0; i < fold->n; ++i) {
1202 fold->qp[i] = isl_qpolynomial_morph_domain(fold->qp[i],
1203 isl_morph_copy(morph));
1204 if (!fold->qp[i])
1205 goto error;
1206 }
1207
1208 isl_morph_free(morph);
1209
1210 return fold;
1211 error:
1212 isl_qpolynomial_fold_free(fold);
1213 isl_morph_free(morph);
1214 return NULL;
1215 }
1216
1217 enum isl_fold isl_qpolynomial_fold_get_type(__isl_keep isl_qpolynomial_fold *fold)
1218 {
1219 if (!fold)
1220 return isl_fold_list;
1221 return fold->type;
1222 }
1223
1224 enum isl_fold isl_union_pw_qpolynomial_fold_get_type(
1225 __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1226 {
1227 if (!upwf)
1228 return isl_fold_list;
1229 return upwf->type;
1230 }
1231
1232 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_lift(
1233 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_space *dim)
1234 {
1235 int i;
1236
1237 if (!fold || !dim)
1238 goto error;
1239
1240 if (isl_space_is_equal(fold->dim, dim)) {
1241 isl_space_free(dim);
1242 return fold;
1243 }
1244
1245 fold = isl_qpolynomial_fold_cow(fold);
1246 if (!fold)
1247 goto error;
1248
1249 isl_space_free(fold->dim);
1250 fold->dim = isl_space_copy(dim);
1251 if (!fold->dim)
1252 goto error;
1253
1254 for (i = 0; i < fold->n; ++i) {
1255 fold->qp[i] = isl_qpolynomial_lift(fold->qp[i],
1256 isl_space_copy(dim));
1257 if (!fold->qp[i])
1258 goto error;
1259 }
1260
1261 isl_space_free(dim);
1262
1263 return fold;
1264 error:
1265 isl_qpolynomial_fold_free(fold);
1266 isl_space_free(dim);
1267 return NULL;
1268 }
1269
1270 int isl_qpolynomial_fold_foreach_qpolynomial(
1271 __isl_keep isl_qpolynomial_fold *fold,
1272 int (*fn)(__isl_take isl_qpolynomial *qp, void *user), void *user)
1273 {
1274 int i;
1275
1276 if (!fold)
1277 return -1;
1278
1279 for (i = 0; i < fold->n; ++i)
1280 if (fn(isl_qpolynomial_copy(fold->qp[i]), user) < 0)
1281 return -1;
1282
1283 return 0;
1284 }
1285
1286 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_move_dims(
1287 __isl_take isl_qpolynomial_fold *fold,
1288 enum isl_dim_type dst_type, unsigned dst_pos,
1289 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1290 {
1291 int i;
1292
1293 if (n == 0)
1294 return fold;
1295
1296 fold = isl_qpolynomial_fold_cow(fold);
1297 if (!fold)
1298 return NULL;
1299
1300 fold->dim = isl_space_move_dims(fold->dim, dst_type, dst_pos,
1301 src_type, src_pos, n);
1302 if (!fold->dim)
1303 goto error;
1304
1305 for (i = 0; i < fold->n; ++i) {
1306 fold->qp[i] = isl_qpolynomial_move_dims(fold->qp[i],
1307 dst_type, dst_pos, src_type, src_pos, n);
1308 if (!fold->qp[i])
1309 goto error;
1310 }
1311
1312 return fold;
1313 error:
1314 isl_qpolynomial_fold_free(fold);
1315 return NULL;
1316 }
1317
1318 /* For each 0 <= i < "n", replace variable "first" + i of type "type"
1319 * in fold->qp[k] by subs[i].
1320 */
1321 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_substitute(
1322 __isl_take isl_qpolynomial_fold *fold,
1323 enum isl_dim_type type, unsigned first, unsigned n,
1324 __isl_keep isl_qpolynomial **subs)
1325 {
1326 int i;
1327
1328 if (n == 0)
1329 return fold;
1330
1331 fold = isl_qpolynomial_fold_cow(fold);
1332 if (!fold)
1333 return NULL;
1334
1335 for (i = 0; i < fold->n; ++i) {
1336 fold->qp[i] = isl_qpolynomial_substitute(fold->qp[i],
1337 type, first, n, subs);
1338 if (!fold->qp[i])
1339 goto error;
1340 }
1341
1342 return fold;
1343 error:
1344 isl_qpolynomial_fold_free(fold);
1345 return NULL;
1346 }
1347
1348 static int add_pwqp(__isl_take isl_pw_qpolynomial *pwqp, void *user)
1349 {
1350 isl_ctx *ctx;
1351 isl_pw_qpolynomial_fold *pwf;
1352 isl_union_pw_qpolynomial_fold **upwf;
1353 uint32_t hash;
1354 struct isl_hash_table_entry *entry;
1355
1356 upwf = (isl_union_pw_qpolynomial_fold **)user;
1357
1358 ctx = pwqp->dim->ctx;
1359 hash = isl_space_get_hash(pwqp->dim);
1360 entry = isl_hash_table_find(ctx, &(*upwf)->table,
1361 hash, &has_dim, pwqp->dim, 1);
1362 if (!entry)
1363 goto error;
1364
1365 pwf = isl_pw_qpolynomial_fold_from_pw_qpolynomial((*upwf)->type, pwqp);
1366 if (!entry->data)
1367 entry->data = pwf;
1368 else {
1369 entry->data = isl_pw_qpolynomial_fold_add(entry->data, pwf);
1370 if (!entry->data)
1371 return -1;
1372 if (isl_pw_qpolynomial_fold_is_zero(entry->data)) {
1373 isl_pw_qpolynomial_fold_free(entry->data);
1374 isl_hash_table_remove(ctx, &(*upwf)->table, entry);
1375 }
1376 }
1377
1378 return 0;
1379 error:
1380 isl_pw_qpolynomial_free(pwqp);
1381 return -1;
1382 }
1383
1384 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_add_union_pw_qpolynomial(
1385 __isl_take isl_union_pw_qpolynomial_fold *upwf,
1386 __isl_take isl_union_pw_qpolynomial *upwqp)
1387 {
1388 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1389 isl_union_pw_qpolynomial_get_space(upwqp));
1390 upwqp = isl_union_pw_qpolynomial_align_params(upwqp,
1391 isl_union_pw_qpolynomial_fold_get_space(upwf));
1392
1393 upwf = isl_union_pw_qpolynomial_fold_cow(upwf);
1394 if (!upwf || !upwqp)
1395 goto error;
1396
1397 if (isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &add_pwqp,
1398 &upwf) < 0)
1399 goto error;
1400
1401 isl_union_pw_qpolynomial_free(upwqp);
1402
1403 return upwf;
1404 error:
1405 isl_union_pw_qpolynomial_fold_free(upwf);
1406 isl_union_pw_qpolynomial_free(upwqp);
1407 return NULL;
1408 }
1409
1410 static int join_compatible(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1411 {
1412 int m;
1413 m = isl_space_match(dim1, isl_dim_param, dim2, isl_dim_param);
1414 if (m < 0 || !m)
1415 return m;
1416 return isl_space_tuple_match(dim1, isl_dim_out, dim2, isl_dim_in);
1417 }
1418
1419 /* Compute the intersection of the range of the map and the domain
1420 * of the piecewise quasipolynomial reduction and then compute a bound
1421 * on the associated quasipolynomial reduction over all elements
1422 * in this intersection.
1423 *
1424 * We first introduce some unconstrained dimensions in the
1425 * piecewise quasipolynomial, intersect the resulting domain
1426 * with the wrapped map and the compute the sum.
1427 */
1428 __isl_give isl_pw_qpolynomial_fold *isl_map_apply_pw_qpolynomial_fold(
1429 __isl_take isl_map *map, __isl_take isl_pw_qpolynomial_fold *pwf,
1430 int *tight)
1431 {
1432 isl_ctx *ctx;
1433 isl_set *dom;
1434 isl_space *map_dim;
1435 isl_space *pwf_dim;
1436 unsigned n_in;
1437 int ok;
1438
1439 ctx = isl_map_get_ctx(map);
1440 if (!ctx)
1441 goto error;
1442
1443 map_dim = isl_map_get_space(map);
1444 pwf_dim = isl_pw_qpolynomial_fold_get_space(pwf);
1445 ok = join_compatible(map_dim, pwf_dim);
1446 isl_space_free(map_dim);
1447 isl_space_free(pwf_dim);
1448 if (!ok)
1449 isl_die(ctx, isl_error_invalid, "incompatible dimensions",
1450 goto error);
1451
1452 n_in = isl_map_dim(map, isl_dim_in);
1453 pwf = isl_pw_qpolynomial_fold_insert_dims(pwf, isl_dim_in, 0, n_in);
1454
1455 dom = isl_map_wrap(map);
1456 pwf = isl_pw_qpolynomial_fold_reset_domain_space(pwf,
1457 isl_set_get_space(dom));
1458
1459 pwf = isl_pw_qpolynomial_fold_intersect_domain(pwf, dom);
1460 pwf = isl_pw_qpolynomial_fold_bound(pwf, tight);
1461
1462 return pwf;
1463 error:
1464 isl_map_free(map);
1465 isl_pw_qpolynomial_fold_free(pwf);
1466 return NULL;
1467 }
1468
1469 __isl_give isl_pw_qpolynomial_fold *isl_set_apply_pw_qpolynomial_fold(
1470 __isl_take isl_set *set, __isl_take isl_pw_qpolynomial_fold *pwf,
1471 int *tight)
1472 {
1473 return isl_map_apply_pw_qpolynomial_fold(set, pwf, tight);
1474 }
1475
1476 struct isl_apply_fold_data {
1477 isl_union_pw_qpolynomial_fold *upwf;
1478 isl_union_pw_qpolynomial_fold *res;
1479 isl_map *map;
1480 int tight;
1481 };
1482
1483 static int pw_qpolynomial_fold_apply(__isl_take isl_pw_qpolynomial_fold *pwf,
1484 void *user)
1485 {
1486 isl_space *map_dim;
1487 isl_space *pwf_dim;
1488 struct isl_apply_fold_data *data = user;
1489 int ok;
1490
1491 map_dim = isl_map_get_space(data->map);
1492 pwf_dim = isl_pw_qpolynomial_fold_get_space(pwf);
1493 ok = join_compatible(map_dim, pwf_dim);
1494 isl_space_free(map_dim);
1495 isl_space_free(pwf_dim);
1496
1497 if (ok) {
1498 pwf = isl_map_apply_pw_qpolynomial_fold(isl_map_copy(data->map),
1499 pwf, data->tight ? &data->tight : NULL);
1500 data->res = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
1501 data->res, pwf);
1502 } else
1503 isl_pw_qpolynomial_fold_free(pwf);
1504
1505 return 0;
1506 }
1507
1508 static int map_apply(__isl_take isl_map *map, void *user)
1509 {
1510 struct isl_apply_fold_data *data = user;
1511 int r;
1512
1513 data->map = map;
1514 r = isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(
1515 data->upwf, &pw_qpolynomial_fold_apply, data);
1516
1517 isl_map_free(map);
1518 return r;
1519 }
1520
1521 __isl_give isl_union_pw_qpolynomial_fold *isl_union_map_apply_union_pw_qpolynomial_fold(
1522 __isl_take isl_union_map *umap,
1523 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1524 {
1525 isl_space *dim;
1526 enum isl_fold type;
1527 struct isl_apply_fold_data data;
1528
1529 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1530 isl_union_map_get_space(umap));
1531 umap = isl_union_map_align_params(umap,
1532 isl_union_pw_qpolynomial_fold_get_space(upwf));
1533
1534 data.upwf = upwf;
1535 data.tight = tight ? 1 : 0;
1536 dim = isl_union_pw_qpolynomial_fold_get_space(upwf);
1537 type = isl_union_pw_qpolynomial_fold_get_type(upwf);
1538 data.res = isl_union_pw_qpolynomial_fold_zero(dim, type);
1539 if (isl_union_map_foreach_map(umap, &map_apply, &data) < 0)
1540 goto error;
1541
1542 isl_union_map_free(umap);
1543 isl_union_pw_qpolynomial_fold_free(upwf);
1544
1545 if (tight)
1546 *tight = data.tight;
1547
1548 return data.res;
1549 error:
1550 isl_union_map_free(umap);
1551 isl_union_pw_qpolynomial_fold_free(upwf);
1552 isl_union_pw_qpolynomial_fold_free(data.res);
1553 return NULL;
1554 }
1555
1556 __isl_give isl_union_pw_qpolynomial_fold *isl_union_set_apply_union_pw_qpolynomial_fold(
1557 __isl_take isl_union_set *uset,
1558 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1559 {
1560 return isl_union_map_apply_union_pw_qpolynomial_fold(uset, upwf, tight);
1561 }
1562
1563 /* Reorder the dimension of "fold" according to the given reordering.
1564 */
1565 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_realign_domain(
1566 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_reordering *r)
1567 {
1568 int i;
1569
1570 fold = isl_qpolynomial_fold_cow(fold);
1571 if (!fold || !r)
1572 goto error;
1573
1574 for (i = 0; i < fold->n; ++i) {
1575 fold->qp[i] = isl_qpolynomial_realign_domain(fold->qp[i],
1576 isl_reordering_copy(r));
1577 if (!fold->qp[i])
1578 goto error;
1579 }
1580
1581 fold = isl_qpolynomial_fold_reset_domain_space(fold,
1582 isl_space_copy(r->dim));
1583
1584 isl_reordering_free(r);
1585
1586 return fold;
1587 error:
1588 isl_qpolynomial_fold_free(fold);
1589 isl_reordering_free(r);
1590 return NULL;
1591 }
1592
1593 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_mul_isl_int(
1594 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1595 {
1596 int i;
1597
1598 if (isl_int_is_one(v))
1599 return fold;
1600 if (fold && isl_int_is_zero(v)) {
1601 isl_qpolynomial_fold *zero;
1602 isl_space *dim = isl_space_copy(fold->dim);
1603 zero = isl_qpolynomial_fold_empty(fold->type, dim);
1604 isl_qpolynomial_fold_free(fold);
1605 return zero;
1606 }
1607
1608 fold = isl_qpolynomial_fold_cow(fold);
1609 if (!fold)
1610 return NULL;
1611
1612 if (isl_int_is_neg(v))
1613 fold->type = isl_fold_type_negate(fold->type);
1614 for (i = 0; i < fold->n; ++i) {
1615 fold->qp[i] = isl_qpolynomial_mul_isl_int(fold->qp[i], v);
1616 if (!fold->qp[i])
1617 goto error;
1618 }
1619
1620 return fold;
1621 error:
1622 isl_qpolynomial_fold_free(fold);
1623 return NULL;
1624 }
1625
1626 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_scale(
1627 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1628 {
1629 return isl_qpolynomial_fold_mul_isl_int(fold, v);
1630 }
Integer set library