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isl_local_space_divs_known: extract out isl_local_divs_known
[isl.git] / isl_fold.c
blobbe5c7f75a05b1f38f564f123cf157a47eedc1c7b
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
24 enum isl_fold isl_fold_type_negate(enum isl_fold type)
25 {
26 switch (type) {
27 case isl_fold_min:
28 return isl_fold_max;
29 case isl_fold_max:
30 return isl_fold_min;
31 case isl_fold_list:
32 return isl_fold_list;
33 }
34
35 isl_die(NULL, isl_error_internal, "unhandled isl_fold type", abort());
36 }
37
38 static __isl_give isl_qpolynomial_fold *qpolynomial_fold_alloc(
39 enum isl_fold type, __isl_take isl_space *dim, int n)
40 {
41 isl_qpolynomial_fold *fold;
42
43 if (!dim)
44 goto error;
45
46 isl_assert(dim->ctx, n >= 0, goto error);
47 fold = isl_calloc(dim->ctx, struct isl_qpolynomial_fold,
48 sizeof(struct isl_qpolynomial_fold) +
49 (n - 1) * sizeof(struct isl_qpolynomial *));
50 if (!fold)
51 goto error;
52
53 fold->ref = 1;
54 fold->size = n;
55 fold->n = 0;
56 fold->type = type;
57 fold->dim = dim;
58
59 return fold;
60 error:
61 isl_space_free(dim);
62 return NULL;
63 }
64
65 isl_ctx *isl_qpolynomial_fold_get_ctx(__isl_keep isl_qpolynomial_fold *fold)
66 {
67 return fold ? fold->dim->ctx : NULL;
68 }
69
70 __isl_give isl_space *isl_qpolynomial_fold_get_domain_space(
71 __isl_keep isl_qpolynomial_fold *fold)
72 {
73 return fold ? isl_space_copy(fold->dim) : NULL;
74 }
75
76 __isl_give isl_space *isl_qpolynomial_fold_get_space(
77 __isl_keep isl_qpolynomial_fold *fold)
78 {
79 isl_space *space;
80 if (!fold)
81 return NULL;
82 space = isl_space_copy(fold->dim);
83 space = isl_space_from_domain(space);
84 space = isl_space_add_dims(space, isl_dim_out, 1);
85 return space;
86 }
87
88 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_reset_domain_space(
89 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_space *dim)
90 {
91 int i;
92
93 fold = isl_qpolynomial_fold_cow(fold);
94 if (!fold || !dim)
95 goto error;
96
97 for (i = 0; i < fold->n; ++i) {
98 fold->qp[i] = isl_qpolynomial_reset_domain_space(fold->qp[i],
99 isl_space_copy(dim));
100 if (!fold->qp[i])
101 goto error;
102 }
103
104 isl_space_free(fold->dim);
105 fold->dim = dim;
106
107 return fold;
108 error:
109 isl_qpolynomial_fold_free(fold);
110 isl_space_free(dim);
111 return NULL;
112 }
113
114 /* Reset the space of "fold". This function is called from isl_pw_templ.c
115 * and doesn't know if the space of an element object is represented
116 * directly or through its domain. It therefore passes along both.
117 */
118 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_reset_space_and_domain(
119 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_space *space,
120 __isl_take isl_space *domain)
121 {
122 isl_space_free(space);
123 return isl_qpolynomial_fold_reset_domain_space(fold, domain);
124 }
125
126 int isl_qpolynomial_fold_involves_dims(__isl_keep isl_qpolynomial_fold *fold,
127 enum isl_dim_type type, unsigned first, unsigned n)
128 {
129 int i;
130
131 if (!fold)
132 return -1;
133 if (fold->n == 0 || n == 0)
134 return 0;
135
136 for (i = 0; i < fold->n; ++i) {
137 int involves = isl_qpolynomial_involves_dims(fold->qp[i],
138 type, first, n);
139 if (involves < 0 || involves)
140 return involves;
141 }
142 return 0;
143 }
144
145 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_set_dim_name(
146 __isl_take isl_qpolynomial_fold *fold,
147 enum isl_dim_type type, unsigned pos, const char *s)
148 {
149 int i;
150
151 fold = isl_qpolynomial_fold_cow(fold);
152 if (!fold)
153 return NULL;
154 fold->dim = isl_space_set_dim_name(fold->dim, type, pos, s);
155 if (!fold->dim)
156 goto error;
157
158 for (i = 0; i < fold->n; ++i) {
159 fold->qp[i] = isl_qpolynomial_set_dim_name(fold->qp[i],
160 type, pos, s);
161 if (!fold->qp[i])
162 goto error;
163 }
164
165 return fold;
166 error:
167 isl_qpolynomial_fold_free(fold);
168 return NULL;
169 }
170
171 /* Given a dimension type for an isl_qpolynomial_fold,
172 * return the corresponding type for the domain.
173 */
174 static enum isl_dim_type domain_type(enum isl_dim_type type)
175 {
176 if (type == isl_dim_in)
177 return isl_dim_set;
178 return type;
179 }
180
181 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_drop_dims(
182 __isl_take isl_qpolynomial_fold *fold,
183 enum isl_dim_type type, unsigned first, unsigned n)
184 {
185 int i;
186 enum isl_dim_type set_type;
187
188 if (!fold)
189 return NULL;
190 if (n == 0)
191 return fold;
192
193 set_type = domain_type(type);
194
195 fold = isl_qpolynomial_fold_cow(fold);
196 if (!fold)
197 return NULL;
198 fold->dim = isl_space_drop_dims(fold->dim, set_type, first, n);
199 if (!fold->dim)
200 goto error;
201
202 for (i = 0; i < fold->n; ++i) {
203 fold->qp[i] = isl_qpolynomial_drop_dims(fold->qp[i],
204 type, first, n);
205 if (!fold->qp[i])
206 goto error;
207 }
208
209 return fold;
210 error:
211 isl_qpolynomial_fold_free(fold);
212 return NULL;
213 }
214
215 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_insert_dims(
216 __isl_take isl_qpolynomial_fold *fold,
217 enum isl_dim_type type, unsigned first, unsigned n)
218 {
219 int i;
220
221 if (!fold)
222 return NULL;
223 if (n == 0 && !isl_space_is_named_or_nested(fold->dim, type))
224 return fold;
225
226 fold = isl_qpolynomial_fold_cow(fold);
227 if (!fold)
228 return NULL;
229 fold->dim = isl_space_insert_dims(fold->dim, type, first, n);
230 if (!fold->dim)
231 goto error;
232
233 for (i = 0; i < fold->n; ++i) {
234 fold->qp[i] = isl_qpolynomial_insert_dims(fold->qp[i],
235 type, first, n);
236 if (!fold->qp[i])
237 goto error;
238 }
239
240 return fold;
241 error:
242 isl_qpolynomial_fold_free(fold);
243 return NULL;
244 }
245
246 /* Determine the sign of the constant quasipolynomial "qp".
247 *
248 * Return
249 * -1 if qp <= 0
250 * 1 if qp >= 0
251 * 0 if unknown
252 *
253 * For qp == 0, we can return either -1 or 1. In practice, we return 1.
254 * For qp == NaN, the sign is undefined, so we return 0.
255 */
256 static int isl_qpolynomial_cst_sign(__isl_keep isl_qpolynomial *qp)
257 {
258 struct isl_upoly_cst *cst;
259
260 if (isl_qpolynomial_is_nan(qp))
261 return 0;
262
263 cst = isl_upoly_as_cst(qp->upoly);
264 if (!cst)
265 return 0;
266
267 return isl_int_sgn(cst->n) < 0 ? -1 : 1;
268 }
269
270 static int isl_qpolynomial_aff_sign(__isl_keep isl_set *set,
271 __isl_keep isl_qpolynomial *qp)
272 {
273 enum isl_lp_result res;
274 isl_vec *aff;
275 isl_int opt;
276 int sgn = 0;
277
278 aff = isl_qpolynomial_extract_affine(qp);
279 if (!aff)
280 return 0;
281
282 isl_int_init(opt);
283
284 res = isl_set_solve_lp(set, 0, aff->el + 1, aff->el[0],
285 &opt, NULL, NULL);
286 if (res == isl_lp_error)
287 goto done;
288 if (res == isl_lp_empty ||
289 (res == isl_lp_ok && !isl_int_is_neg(opt))) {
290 sgn = 1;
291 goto done;
292 }
293
294 res = isl_set_solve_lp(set, 1, aff->el + 1, aff->el[0],
295 &opt, NULL, NULL);
296 if (res == isl_lp_ok && !isl_int_is_pos(opt))
297 sgn = -1;
298
299 done:
300 isl_int_clear(opt);
301 isl_vec_free(aff);
302 return sgn;
303 }
304
305 /* Determine, if possible, the sign of the quasipolynomial "qp" on
306 * the domain "set".
307 *
308 * If qp is a constant, then the problem is trivial.
309 * If qp is linear, then we check if the minimum of the corresponding
310 * affine constraint is non-negative or if the maximum is non-positive.
311 *
312 * Otherwise, we check if the outermost variable "v" has a lower bound "l"
313 * in "set". If so, we write qp(v,v') as
314 *
315 * q(v,v') * (v - l) + r(v')
316 *
317 * if q(v,v') and r(v') have the same known sign, then the original
318 * quasipolynomial has the same sign as well.
319 *
320 * Return
321 * -1 if qp <= 0
322 * 1 if qp >= 0
323 * 0 if unknown
324 */
325 static int isl_qpolynomial_sign(__isl_keep isl_set *set,
326 __isl_keep isl_qpolynomial *qp)
327 {
328 int d;
329 int i;
330 int is;
331 struct isl_upoly_rec *rec;
332 isl_vec *v;
333 isl_int l;
334 enum isl_lp_result res;
335 int sgn = 0;
336
337 is = isl_qpolynomial_is_cst(qp, NULL, NULL);
338 if (is < 0)
339 return 0;
340 if (is)
341 return isl_qpolynomial_cst_sign(qp);
342
343 is = isl_qpolynomial_is_affine(qp);
344 if (is < 0)
345 return 0;
346 if (is)
347 return isl_qpolynomial_aff_sign(set, qp);
348
349 if (qp->div->n_row > 0)
350 return 0;
351
352 rec = isl_upoly_as_rec(qp->upoly);
353 if (!rec)
354 return 0;
355
356 d = isl_space_dim(qp->dim, isl_dim_all);
357 v = isl_vec_alloc(set->ctx, 2 + d);
358 if (!v)
359 return 0;
360
361 isl_seq_clr(v->el + 1, 1 + d);
362 isl_int_set_si(v->el[0], 1);
363 isl_int_set_si(v->el[2 + qp->upoly->var], 1);
364
365 isl_int_init(l);
366
367 res = isl_set_solve_lp(set, 0, v->el + 1, v->el[0], &l, NULL, NULL);
368 if (res == isl_lp_ok) {
369 isl_qpolynomial *min;
370 isl_qpolynomial *base;
371 isl_qpolynomial *r, *q;
372 isl_qpolynomial *t;
373
374 min = isl_qpolynomial_cst_on_domain(isl_space_copy(qp->dim), l);
375 base = isl_qpolynomial_var_pow_on_domain(isl_space_copy(qp->dim),
376 qp->upoly->var, 1);
377
378 r = isl_qpolynomial_alloc(isl_space_copy(qp->dim), 0,
379 isl_upoly_copy(rec->p[rec->n - 1]));
380 q = isl_qpolynomial_copy(r);
381
382 for (i = rec->n - 2; i >= 0; --i) {
383 r = isl_qpolynomial_mul(r, isl_qpolynomial_copy(min));
384 t = isl_qpolynomial_alloc(isl_space_copy(qp->dim), 0,
385 isl_upoly_copy(rec->p[i]));
386 r = isl_qpolynomial_add(r, t);
387 if (i == 0)
388 break;
389 q = isl_qpolynomial_mul(q, isl_qpolynomial_copy(base));
390 q = isl_qpolynomial_add(q, isl_qpolynomial_copy(r));
391 }
392
393 if (isl_qpolynomial_is_zero(q))
394 sgn = isl_qpolynomial_sign(set, r);
395 else if (isl_qpolynomial_is_zero(r))
396 sgn = isl_qpolynomial_sign(set, q);
397 else {
398 int sgn_q, sgn_r;
399 sgn_r = isl_qpolynomial_sign(set, r);
400 sgn_q = isl_qpolynomial_sign(set, q);
401 if (sgn_r == sgn_q)
402 sgn = sgn_r;
403 }
404
405 isl_qpolynomial_free(min);
406 isl_qpolynomial_free(base);
407 isl_qpolynomial_free(q);
408 isl_qpolynomial_free(r);
409 }
410
411 isl_int_clear(l);
412
413 isl_vec_free(v);
414
415 return sgn;
416 }
417
418 /* Combine "fold1" and "fold2" into a single reduction, eliminating
419 * those elements of one reduction that are already covered by the other
420 * reduction on "set".
421 *
422 * If "fold1" or "fold2" is an empty reduction, then return
423 * the other reduction.
424 * If "fold1" or "fold2" is a NaN, then return this NaN.
425 */
426 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_fold_on_domain(
427 __isl_keep isl_set *set,
428 __isl_take isl_qpolynomial_fold *fold1,
429 __isl_take isl_qpolynomial_fold *fold2)
430 {
431 int i, j;
432 int n1;
433 struct isl_qpolynomial_fold *res = NULL;
434 int better;
435
436 if (!fold1 || !fold2)
437 goto error;
438
439 isl_assert(fold1->dim->ctx, fold1->type == fold2->type, goto error);
440 isl_assert(fold1->dim->ctx, isl_space_is_equal(fold1->dim, fold2->dim),
441 goto error);
442
443 better = fold1->type == isl_fold_max ? -1 : 1;
444
445 if (isl_qpolynomial_fold_is_empty(fold1) ||
446 isl_qpolynomial_fold_is_nan(fold2)) {
447 isl_qpolynomial_fold_free(fold1);
448 return fold2;
449 }
450
451 if (isl_qpolynomial_fold_is_empty(fold2) ||
452 isl_qpolynomial_fold_is_nan(fold1)) {
453 isl_qpolynomial_fold_free(fold2);
454 return fold1;
455 }
456
457 res = qpolynomial_fold_alloc(fold1->type, isl_space_copy(fold1->dim),
458 fold1->n + fold2->n);
459 if (!res)
460 goto error;
461
462 for (i = 0; i < fold1->n; ++i) {
463 res->qp[res->n] = isl_qpolynomial_copy(fold1->qp[i]);
464 if (!res->qp[res->n])
465 goto error;
466 res->n++;
467 }
468 n1 = res->n;
469
470 for (i = 0; i < fold2->n; ++i) {
471 for (j = n1 - 1; j >= 0; --j) {
472 isl_qpolynomial *d;
473 int sgn, equal;
474 equal = isl_qpolynomial_plain_is_equal(res->qp[j],
475 fold2->qp[i]);
476 if (equal < 0)
477 goto error;
478 if (equal)
479 break;
480 d = isl_qpolynomial_sub(
481 isl_qpolynomial_copy(res->qp[j]),
482 isl_qpolynomial_copy(fold2->qp[i]));
483 sgn = isl_qpolynomial_sign(set, d);
484 isl_qpolynomial_free(d);
485 if (sgn == 0)
486 continue;
487 if (sgn != better)
488 break;
489 isl_qpolynomial_free(res->qp[j]);
490 if (j != n1 - 1)
491 res->qp[j] = res->qp[n1 - 1];
492 n1--;
493 if (n1 != res->n - 1)
494 res->qp[n1] = res->qp[res->n - 1];
495 res->n--;
496 }
497 if (j >= 0)
498 continue;
499 res->qp[res->n] = isl_qpolynomial_copy(fold2->qp[i]);
500 if (!res->qp[res->n])
501 goto error;
502 res->n++;
503 }
504
505 isl_qpolynomial_fold_free(fold1);
506 isl_qpolynomial_fold_free(fold2);
507
508 return res;
509 error:
510 isl_qpolynomial_fold_free(res);
511 isl_qpolynomial_fold_free(fold1);
512 isl_qpolynomial_fold_free(fold2);
513 return NULL;
514 }
515
516 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_add_qpolynomial(
517 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_qpolynomial *qp)
518 {
519 int i;
520
521 if (!fold || !qp)
522 goto error;
523
524 if (isl_qpolynomial_is_zero(qp)) {
525 isl_qpolynomial_free(qp);
526 return fold;
527 }
528
529 fold = isl_qpolynomial_fold_cow(fold);
530 if (!fold)
531 goto error;
532
533 for (i = 0; i < fold->n; ++i) {
534 fold->qp[i] = isl_qpolynomial_add(fold->qp[i],
535 isl_qpolynomial_copy(qp));
536 if (!fold->qp[i])
537 goto error;
538 }
539
540 isl_qpolynomial_free(qp);
541 return fold;
542 error:
543 isl_qpolynomial_fold_free(fold);
544 isl_qpolynomial_free(qp);
545 return NULL;
546 }
547
548 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_add_on_domain(
549 __isl_keep isl_set *dom,
550 __isl_take isl_qpolynomial_fold *fold1,
551 __isl_take isl_qpolynomial_fold *fold2)
552 {
553 int i;
554 isl_qpolynomial_fold *res = NULL;
555
556 if (!fold1 || !fold2)
557 goto error;
558
559 if (isl_qpolynomial_fold_is_empty(fold1)) {
560 isl_qpolynomial_fold_free(fold1);
561 return fold2;
562 }
563
564 if (isl_qpolynomial_fold_is_empty(fold2)) {
565 isl_qpolynomial_fold_free(fold2);
566 return fold1;
567 }
568
569 if (fold1->n == 1 && fold2->n != 1)
570 return isl_qpolynomial_fold_add_on_domain(dom, fold2, fold1);
571
572 if (fold2->n == 1) {
573 res = isl_qpolynomial_fold_add_qpolynomial(fold1,
574 isl_qpolynomial_copy(fold2->qp[0]));
575 isl_qpolynomial_fold_free(fold2);
576 return res;
577 }
578
579 res = isl_qpolynomial_fold_add_qpolynomial(
580 isl_qpolynomial_fold_copy(fold1),
581 isl_qpolynomial_copy(fold2->qp[0]));
582
583 for (i = 1; i < fold2->n; ++i) {
584 isl_qpolynomial_fold *res_i;
585 res_i = isl_qpolynomial_fold_add_qpolynomial(
586 isl_qpolynomial_fold_copy(fold1),
587 isl_qpolynomial_copy(fold2->qp[i]));
588 res = isl_qpolynomial_fold_fold_on_domain(dom, res, res_i);
589 }
590
591 isl_qpolynomial_fold_free(fold1);
592 isl_qpolynomial_fold_free(fold2);
593 return res;
594 error:
595 isl_qpolynomial_fold_free(res);
596 isl_qpolynomial_fold_free(fold1);
597 isl_qpolynomial_fold_free(fold2);
598 return NULL;
599 }
600
601 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_substitute_equalities(
602 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_basic_set *eq)
603 {
604 int i;
605
606 if (!fold || !eq)
607 goto error;
608
609 fold = isl_qpolynomial_fold_cow(fold);
610 if (!fold)
611 return NULL;
612
613 for (i = 0; i < fold->n; ++i) {
614 fold->qp[i] = isl_qpolynomial_substitute_equalities(fold->qp[i],
615 isl_basic_set_copy(eq));
616 if (!fold->qp[i])
617 goto error;
618 }
619
620 isl_basic_set_free(eq);
621 return fold;
622 error:
623 isl_basic_set_free(eq);
624 isl_qpolynomial_fold_free(fold);
625 return NULL;
626 }
627
628 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_gist(
629 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *context)
630 {
631 int i;
632
633 if (!fold || !context)
634 goto error;
635
636 fold = isl_qpolynomial_fold_cow(fold);
637 if (!fold)
638 return NULL;
639
640 for (i = 0; i < fold->n; ++i) {
641 fold->qp[i] = isl_qpolynomial_gist(fold->qp[i],
642 isl_set_copy(context));
643 if (!fold->qp[i])
644 goto error;
645 }
646
647 isl_set_free(context);
648 return fold;
649 error:
650 isl_set_free(context);
651 isl_qpolynomial_fold_free(fold);
652 return NULL;
653 }
654
655 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_gist_params(
656 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *context)
657 {
658 isl_space *space = isl_qpolynomial_fold_get_domain_space(fold);
659 isl_set *dom_context = isl_set_universe(space);
660 dom_context = isl_set_intersect_params(dom_context, context);
661 return isl_qpolynomial_fold_gist(fold, dom_context);
662 }
663
664 #define isl_qpolynomial_fold_involves_nan isl_qpolynomial_fold_is_nan
665
666 #define HAS_TYPE
667
668 #undef PW
669 #define PW isl_pw_qpolynomial_fold
670 #undef EL
671 #define EL isl_qpolynomial_fold
672 #undef EL_IS_ZERO
673 #define EL_IS_ZERO is_empty
674 #undef ZERO
675 #define ZERO zero
676 #undef IS_ZERO
677 #define IS_ZERO is_zero
678 #undef FIELD
679 #define FIELD fold
680 #undef DEFAULT_IS_ZERO
681 #define DEFAULT_IS_ZERO 1
682
683 #define NO_NEG
684 #define NO_SUB
685 #define NO_PULLBACK
686
687 #include <isl_pw_templ.c>
688
689 #undef UNION
690 #define UNION isl_union_pw_qpolynomial_fold
691 #undef PART
692 #define PART isl_pw_qpolynomial_fold
693 #undef PARTS
694 #define PARTS pw_qpolynomial_fold
695
696 #define NO_SUB
697
698 #include <isl_union_single.c>
699 #include <isl_union_eval.c>
700
701 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_empty(enum isl_fold type,
702 __isl_take isl_space *dim)
703 {
704 return qpolynomial_fold_alloc(type, dim, 0);
705 }
706
707 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_alloc(
708 enum isl_fold type, __isl_take isl_qpolynomial *qp)
709 {
710 isl_qpolynomial_fold *fold;
711
712 if (!qp)
713 return NULL;
714
715 fold = qpolynomial_fold_alloc(type, isl_space_copy(qp->dim), 1);
716 if (!fold)
717 goto error;
718
719 fold->qp[0] = qp;
720 fold->n++;
721
722 return fold;
723 error:
724 isl_qpolynomial_fold_free(fold);
725 isl_qpolynomial_free(qp);
726 return NULL;
727 }
728
729 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_copy(
730 __isl_keep isl_qpolynomial_fold *fold)
731 {
732 if (!fold)
733 return NULL;
734
735 fold->ref++;
736 return fold;
737 }
738
739 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_dup(
740 __isl_keep isl_qpolynomial_fold *fold)
741 {
742 int i;
743 isl_qpolynomial_fold *dup;
744
745 if (!fold)
746 return NULL;
747 dup = qpolynomial_fold_alloc(fold->type,
748 isl_space_copy(fold->dim), fold->n);
749 if (!dup)
750 return NULL;
751
752 dup->n = fold->n;
753 for (i = 0; i < fold->n; ++i) {
754 dup->qp[i] = isl_qpolynomial_copy(fold->qp[i]);
755 if (!dup->qp[i])
756 goto error;
757 }
758
759 return dup;
760 error:
761 isl_qpolynomial_fold_free(dup);
762 return NULL;
763 }
764
765 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_cow(
766 __isl_take isl_qpolynomial_fold *fold)
767 {
768 if (!fold)
769 return NULL;
770
771 if (fold->ref == 1)
772 return fold;
773 fold->ref--;
774 return isl_qpolynomial_fold_dup(fold);
775 }
776
777 void isl_qpolynomial_fold_free(__isl_take isl_qpolynomial_fold *fold)
778 {
779 int i;
780
781 if (!fold)
782 return;
783 if (--fold->ref > 0)
784 return;
785
786 for (i = 0; i < fold->n; ++i)
787 isl_qpolynomial_free(fold->qp[i]);
788 isl_space_free(fold->dim);
789 free(fold);
790 }
791
792 int isl_qpolynomial_fold_is_empty(__isl_keep isl_qpolynomial_fold *fold)
793 {
794 if (!fold)
795 return -1;
796
797 return fold->n == 0;
798 }
799
800 /* Does "fold" represent max(NaN) or min(NaN)?
801 */
802 isl_bool isl_qpolynomial_fold_is_nan(__isl_keep isl_qpolynomial_fold *fold)
803 {
804 if (!fold)
805 return isl_bool_error;
806 if (fold->n != 1)
807 return isl_bool_false;
808 return isl_qpolynomial_is_nan(fold->qp[0]);
809 }
810
811 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_fold(
812 __isl_take isl_qpolynomial_fold *fold1,
813 __isl_take isl_qpolynomial_fold *fold2)
814 {
815 int i;
816 struct isl_qpolynomial_fold *res = NULL;
817
818 if (!fold1 || !fold2)
819 goto error;
820
821 isl_assert(fold1->dim->ctx, fold1->type == fold2->type, goto error);
822 isl_assert(fold1->dim->ctx, isl_space_is_equal(fold1->dim, fold2->dim),
823 goto error);
824
825 if (isl_qpolynomial_fold_is_empty(fold1)) {
826 isl_qpolynomial_fold_free(fold1);
827 return fold2;
828 }
829
830 if (isl_qpolynomial_fold_is_empty(fold2)) {
831 isl_qpolynomial_fold_free(fold2);
832 return fold1;
833 }
834
835 res = qpolynomial_fold_alloc(fold1->type, isl_space_copy(fold1->dim),
836 fold1->n + fold2->n);
837 if (!res)
838 goto error;
839
840 for (i = 0; i < fold1->n; ++i) {
841 res->qp[res->n] = isl_qpolynomial_copy(fold1->qp[i]);
842 if (!res->qp[res->n])
843 goto error;
844 res->n++;
845 }
846
847 for (i = 0; i < fold2->n; ++i) {
848 res->qp[res->n] = isl_qpolynomial_copy(fold2->qp[i]);
849 if (!res->qp[res->n])
850 goto error;
851 res->n++;
852 }
853
854 isl_qpolynomial_fold_free(fold1);
855 isl_qpolynomial_fold_free(fold2);
856
857 return res;
858 error:
859 isl_qpolynomial_fold_free(res);
860 isl_qpolynomial_fold_free(fold1);
861 isl_qpolynomial_fold_free(fold2);
862 return NULL;
863 }
864
865 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_fold(
866 __isl_take isl_pw_qpolynomial_fold *pw1,
867 __isl_take isl_pw_qpolynomial_fold *pw2)
868 {
869 int i, j, n;
870 struct isl_pw_qpolynomial_fold *res;
871 isl_set *set;
872
873 if (!pw1 || !pw2)
874 goto error;
875
876 isl_assert(pw1->dim->ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
877
878 if (isl_pw_qpolynomial_fold_is_zero(pw1)) {
879 isl_pw_qpolynomial_fold_free(pw1);
880 return pw2;
881 }
882
883 if (isl_pw_qpolynomial_fold_is_zero(pw2)) {
884 isl_pw_qpolynomial_fold_free(pw2);
885 return pw1;
886 }
887
888 if (pw1->type != pw2->type)
889 isl_die(pw1->dim->ctx, isl_error_invalid,
890 "fold types don't match", goto error);
891
892 n = (pw1->n + 1) * (pw2->n + 1);
893 res = isl_pw_qpolynomial_fold_alloc_size(isl_space_copy(pw1->dim),
894 pw1->type, n);
895
896 for (i = 0; i < pw1->n; ++i) {
897 set = isl_set_copy(pw1->p[i].set);
898 for (j = 0; j < pw2->n; ++j) {
899 struct isl_set *common;
900 isl_qpolynomial_fold *sum;
901 set = isl_set_subtract(set,
902 isl_set_copy(pw2->p[j].set));
903 common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
904 isl_set_copy(pw2->p[j].set));
905 if (isl_set_plain_is_empty(common)) {
906 isl_set_free(common);
907 continue;
908 }
909
910 sum = isl_qpolynomial_fold_fold_on_domain(common,
911 isl_qpolynomial_fold_copy(pw1->p[i].fold),
912 isl_qpolynomial_fold_copy(pw2->p[j].fold));
913
914 res = isl_pw_qpolynomial_fold_add_piece(res, common, sum);
915 }
916 res = isl_pw_qpolynomial_fold_add_piece(res, set,
917 isl_qpolynomial_fold_copy(pw1->p[i].fold));
918 }
919
920 for (j = 0; j < pw2->n; ++j) {
921 set = isl_set_copy(pw2->p[j].set);
922 for (i = 0; i < pw1->n; ++i)
923 set = isl_set_subtract(set, isl_set_copy(pw1->p[i].set));
924 res = isl_pw_qpolynomial_fold_add_piece(res, set,
925 isl_qpolynomial_fold_copy(pw2->p[j].fold));
926 }
927
928 isl_pw_qpolynomial_fold_free(pw1);
929 isl_pw_qpolynomial_fold_free(pw2);
930
931 return res;
932 error:
933 isl_pw_qpolynomial_fold_free(pw1);
934 isl_pw_qpolynomial_fold_free(pw2);
935 return NULL;
936 }
937
938 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
939 __isl_take isl_union_pw_qpolynomial_fold *u,
940 __isl_take isl_pw_qpolynomial_fold *part)
941 {
942 struct isl_hash_table_entry *entry;
943
944 u = isl_union_pw_qpolynomial_fold_cow(u);
945
946 if (!part || !u)
947 goto error;
948 if (isl_space_check_equal_params(part->dim, u->space) < 0)
949 goto error;
950
951 entry = isl_union_pw_qpolynomial_fold_find_part_entry(u, part->dim, 1);
952 if (!entry)
953 goto error;
954
955 if (!entry->data)
956 entry->data = part;
957 else {
958 entry->data = isl_pw_qpolynomial_fold_fold(entry->data,
959 isl_pw_qpolynomial_fold_copy(part));
960 if (!entry->data)
961 goto error;
962 isl_pw_qpolynomial_fold_free(part);
963 }
964
965 return u;
966 error:
967 isl_pw_qpolynomial_fold_free(part);
968 isl_union_pw_qpolynomial_fold_free(u);
969 return NULL;
970 }
971
972 static isl_stat fold_part(__isl_take isl_pw_qpolynomial_fold *part, void *user)
973 {
974 isl_union_pw_qpolynomial_fold **u;
975 u = (isl_union_pw_qpolynomial_fold **)user;
976
977 *u = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(*u, part);
978
979 return isl_stat_ok;
980 }
981
982 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold(
983 __isl_take isl_union_pw_qpolynomial_fold *u1,
984 __isl_take isl_union_pw_qpolynomial_fold *u2)
985 {
986 u1 = isl_union_pw_qpolynomial_fold_cow(u1);
987
988 if (!u1 || !u2)
989 goto error;
990
991 if (isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(u2,
992 &fold_part, &u1) < 0)
993 goto error;
994
995 isl_union_pw_qpolynomial_fold_free(u2);
996
997 return u1;
998 error:
999 isl_union_pw_qpolynomial_fold_free(u1);
1000 isl_union_pw_qpolynomial_fold_free(u2);
1001 return NULL;
1002 }
1003
1004 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_from_pw_qpolynomial(
1005 enum isl_fold type, __isl_take isl_pw_qpolynomial *pwqp)
1006 {
1007 int i;
1008 isl_pw_qpolynomial_fold *pwf;
1009
1010 if (!pwqp)
1011 return NULL;
1012
1013 pwf = isl_pw_qpolynomial_fold_alloc_size(isl_space_copy(pwqp->dim),
1014 type, pwqp->n);
1015
1016 for (i = 0; i < pwqp->n; ++i)
1017 pwf = isl_pw_qpolynomial_fold_add_piece(pwf,
1018 isl_set_copy(pwqp->p[i].set),
1019 isl_qpolynomial_fold_alloc(type,
1020 isl_qpolynomial_copy(pwqp->p[i].qp)));
1021
1022 isl_pw_qpolynomial_free(pwqp);
1023
1024 return pwf;
1025 }
1026
1027 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_add(
1028 __isl_take isl_pw_qpolynomial_fold *pwf1,
1029 __isl_take isl_pw_qpolynomial_fold *pwf2)
1030 {
1031 return isl_pw_qpolynomial_fold_union_add_(pwf1, pwf2);
1032 }
1033
1034 /* Compare two quasi-polynomial reductions.
1035 *
1036 * Return -1 if "fold1" is "smaller" than "fold2", 1 if "fold1" is "greater"
1037 * than "fold2" and 0 if they are equal.
1038 */
1039 int isl_qpolynomial_fold_plain_cmp(__isl_keep isl_qpolynomial_fold *fold1,
1040 __isl_keep isl_qpolynomial_fold *fold2)
1041 {
1042 int i;
1043
1044 if (fold1 == fold2)
1045 return 0;
1046 if (!fold1)
1047 return -1;
1048 if (!fold2)
1049 return 1;
1050
1051 if (fold1->n != fold2->n)
1052 return fold1->n - fold2->n;
1053
1054 for (i = 0; i < fold1->n; ++i) {
1055 int cmp;
1056
1057 cmp = isl_qpolynomial_plain_cmp(fold1->qp[i], fold2->qp[i]);
1058 if (cmp != 0)
1059 return cmp;
1060 }
1061
1062 return 0;
1063 }
1064
1065 int isl_qpolynomial_fold_plain_is_equal(__isl_keep isl_qpolynomial_fold *fold1,
1066 __isl_keep isl_qpolynomial_fold *fold2)
1067 {
1068 int i;
1069
1070 if (!fold1 || !fold2)
1071 return -1;
1072
1073 if (fold1->n != fold2->n)
1074 return 0;
1075
1076 /* We probably want to sort the qps first... */
1077 for (i = 0; i < fold1->n; ++i) {
1078 int eq = isl_qpolynomial_plain_is_equal(fold1->qp[i], fold2->qp[i]);
1079 if (eq < 0 || !eq)
1080 return eq;
1081 }
1082
1083 return 1;
1084 }
1085
1086 __isl_give isl_val *isl_qpolynomial_fold_eval(
1087 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_point *pnt)
1088 {
1089 isl_ctx *ctx;
1090 isl_val *v;
1091
1092 if (!fold || !pnt)
1093 goto error;
1094 ctx = isl_point_get_ctx(pnt);
1095 isl_assert(pnt->dim->ctx, isl_space_is_equal(pnt->dim, fold->dim), goto error);
1096 isl_assert(pnt->dim->ctx,
1097 fold->type == isl_fold_max || fold->type == isl_fold_min,
1098 goto error);
1099
1100 if (fold->n == 0)
1101 v = isl_val_zero(ctx);
1102 else {
1103 int i;
1104 v = isl_qpolynomial_eval(isl_qpolynomial_copy(fold->qp[0]),
1105 isl_point_copy(pnt));
1106 for (i = 1; i < fold->n; ++i) {
1107 isl_val *v_i;
1108 v_i = isl_qpolynomial_eval(
1109 isl_qpolynomial_copy(fold->qp[i]),
1110 isl_point_copy(pnt));
1111 if (fold->type == isl_fold_max)
1112 v = isl_val_max(v, v_i);
1113 else
1114 v = isl_val_min(v, v_i);
1115 }
1116 }
1117 isl_qpolynomial_fold_free(fold);
1118 isl_point_free(pnt);
1119
1120 return v;
1121 error:
1122 isl_qpolynomial_fold_free(fold);
1123 isl_point_free(pnt);
1124 return NULL;
1125 }
1126
1127 size_t isl_pw_qpolynomial_fold_size(__isl_keep isl_pw_qpolynomial_fold *pwf)
1128 {
1129 int i;
1130 size_t n = 0;
1131
1132 for (i = 0; i < pwf->n; ++i)
1133 n += pwf->p[i].fold->n;
1134
1135 return n;
1136 }
1137
1138 __isl_give isl_val *isl_qpolynomial_fold_opt_on_domain(
1139 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *set, int max)
1140 {
1141 int i;
1142 isl_val *opt;
1143
1144 if (!set || !fold)
1145 goto error;
1146
1147 if (fold->n == 0) {
1148 opt = isl_val_zero(isl_set_get_ctx(set));
1149 isl_set_free(set);
1150 isl_qpolynomial_fold_free(fold);
1151 return opt;
1152 }
1153
1154 opt = isl_qpolynomial_opt_on_domain(isl_qpolynomial_copy(fold->qp[0]),
1155 isl_set_copy(set), max);
1156 for (i = 1; i < fold->n; ++i) {
1157 isl_val *opt_i;
1158 opt_i = isl_qpolynomial_opt_on_domain(
1159 isl_qpolynomial_copy(fold->qp[i]),
1160 isl_set_copy(set), max);
1161 if (max)
1162 opt = isl_val_max(opt, opt_i);
1163 else
1164 opt = isl_val_min(opt, opt_i);
1165 }
1166
1167 isl_set_free(set);
1168 isl_qpolynomial_fold_free(fold);
1169
1170 return opt;
1171 error:
1172 isl_set_free(set);
1173 isl_qpolynomial_fold_free(fold);
1174 return NULL;
1175 }
1176
1177 /* Check whether for each quasi-polynomial in "fold2" there is
1178 * a quasi-polynomial in "fold1" that dominates it on "set".
1179 */
1180 static int qpolynomial_fold_covers_on_domain(__isl_keep isl_set *set,
1181 __isl_keep isl_qpolynomial_fold *fold1,
1182 __isl_keep isl_qpolynomial_fold *fold2)
1183 {
1184 int i, j;
1185 int covers;
1186
1187 if (!set || !fold1 || !fold2)
1188 return -1;
1189
1190 covers = fold1->type == isl_fold_max ? 1 : -1;
1191
1192 for (i = 0; i < fold2->n; ++i) {
1193 for (j = 0; j < fold1->n; ++j) {
1194 isl_qpolynomial *d;
1195 int sgn;
1196
1197 d = isl_qpolynomial_sub(
1198 isl_qpolynomial_copy(fold1->qp[j]),
1199 isl_qpolynomial_copy(fold2->qp[i]));
1200 sgn = isl_qpolynomial_sign(set, d);
1201 isl_qpolynomial_free(d);
1202 if (sgn == covers)
1203 break;
1204 }
1205 if (j >= fold1->n)
1206 return 0;
1207 }
1208
1209 return 1;
1210 }
1211
1212 /* Check whether "pwf1" dominated "pwf2", i.e., the domain of "pwf1" contains
1213 * that of "pwf2" and on each cell, the corresponding fold from pwf1 dominates
1214 * that of pwf2.
1215 */
1216 int isl_pw_qpolynomial_fold_covers(__isl_keep isl_pw_qpolynomial_fold *pwf1,
1217 __isl_keep isl_pw_qpolynomial_fold *pwf2)
1218 {
1219 int i, j;
1220 isl_set *dom1, *dom2;
1221 int is_subset;
1222
1223 if (!pwf1 || !pwf2)
1224 return -1;
1225
1226 if (pwf2->n == 0)
1227 return 1;
1228 if (pwf1->n == 0)
1229 return 0;
1230
1231 dom1 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf1));
1232 dom2 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf2));
1233 is_subset = isl_set_is_subset(dom2, dom1);
1234 isl_set_free(dom1);
1235 isl_set_free(dom2);
1236
1237 if (is_subset < 0 || !is_subset)
1238 return is_subset;
1239
1240 for (i = 0; i < pwf2->n; ++i) {
1241 for (j = 0; j < pwf1->n; ++j) {
1242 int is_empty;
1243 isl_set *common;
1244 int covers;
1245
1246 common = isl_set_intersect(isl_set_copy(pwf1->p[j].set),
1247 isl_set_copy(pwf2->p[i].set));
1248 is_empty = isl_set_is_empty(common);
1249 if (is_empty < 0 || is_empty) {
1250 isl_set_free(common);
1251 if (is_empty < 0)
1252 return -1;
1253 continue;
1254 }
1255 covers = qpolynomial_fold_covers_on_domain(common,
1256 pwf1->p[j].fold, pwf2->p[i].fold);
1257 isl_set_free(common);
1258 if (covers < 0 || !covers)
1259 return covers;
1260 }
1261 }
1262
1263 return 1;
1264 }
1265
1266 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_morph_domain(
1267 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_morph *morph)
1268 {
1269 int i;
1270 isl_ctx *ctx;
1271
1272 if (!fold || !morph)
1273 goto error;
1274
1275 ctx = fold->dim->ctx;
1276 isl_assert(ctx, isl_space_is_equal(fold->dim, morph->dom->dim), goto error);
1277
1278 fold = isl_qpolynomial_fold_cow(fold);
1279 if (!fold)
1280 goto error;
1281
1282 isl_space_free(fold->dim);
1283 fold->dim = isl_space_copy(morph->ran->dim);
1284 if (!fold->dim)
1285 goto error;
1286
1287 for (i = 0; i < fold->n; ++i) {
1288 fold->qp[i] = isl_qpolynomial_morph_domain(fold->qp[i],
1289 isl_morph_copy(morph));
1290 if (!fold->qp[i])
1291 goto error;
1292 }
1293
1294 isl_morph_free(morph);
1295
1296 return fold;
1297 error:
1298 isl_qpolynomial_fold_free(fold);
1299 isl_morph_free(morph);
1300 return NULL;
1301 }
1302
1303 enum isl_fold isl_qpolynomial_fold_get_type(__isl_keep isl_qpolynomial_fold *fold)
1304 {
1305 if (!fold)
1306 return isl_fold_list;
1307 return fold->type;
1308 }
1309
1310 enum isl_fold isl_union_pw_qpolynomial_fold_get_type(
1311 __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1312 {
1313 if (!upwf)
1314 return isl_fold_list;
1315 return upwf->type;
1316 }
1317
1318 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_lift(
1319 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_space *dim)
1320 {
1321 int i;
1322
1323 if (!fold || !dim)
1324 goto error;
1325
1326 if (isl_space_is_equal(fold->dim, dim)) {
1327 isl_space_free(dim);
1328 return fold;
1329 }
1330
1331 fold = isl_qpolynomial_fold_cow(fold);
1332 if (!fold)
1333 goto error;
1334
1335 isl_space_free(fold->dim);
1336 fold->dim = isl_space_copy(dim);
1337 if (!fold->dim)
1338 goto error;
1339
1340 for (i = 0; i < fold->n; ++i) {
1341 fold->qp[i] = isl_qpolynomial_lift(fold->qp[i],
1342 isl_space_copy(dim));
1343 if (!fold->qp[i])
1344 goto error;
1345 }
1346
1347 isl_space_free(dim);
1348
1349 return fold;
1350 error:
1351 isl_qpolynomial_fold_free(fold);
1352 isl_space_free(dim);
1353 return NULL;
1354 }
1355
1356 isl_stat isl_qpolynomial_fold_foreach_qpolynomial(
1357 __isl_keep isl_qpolynomial_fold *fold,
1358 isl_stat (*fn)(__isl_take isl_qpolynomial *qp, void *user), void *user)
1359 {
1360 int i;
1361
1362 if (!fold)
1363 return isl_stat_error;
1364
1365 for (i = 0; i < fold->n; ++i)
1366 if (fn(isl_qpolynomial_copy(fold->qp[i]), user) < 0)
1367 return isl_stat_error;
1368
1369 return isl_stat_ok;
1370 }
1371
1372 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_move_dims(
1373 __isl_take isl_qpolynomial_fold *fold,
1374 enum isl_dim_type dst_type, unsigned dst_pos,
1375 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1376 {
1377 int i;
1378 enum isl_dim_type set_src_type, set_dst_type;
1379
1380 if (n == 0)
1381 return fold;
1382
1383 fold = isl_qpolynomial_fold_cow(fold);
1384 if (!fold)
1385 return NULL;
1386
1387 set_src_type = domain_type(src_type);
1388 set_dst_type = domain_type(dst_type);
1389
1390 fold->dim = isl_space_move_dims(fold->dim, set_dst_type, dst_pos,
1391 set_src_type, src_pos, n);
1392 if (!fold->dim)
1393 goto error;
1394
1395 for (i = 0; i < fold->n; ++i) {
1396 fold->qp[i] = isl_qpolynomial_move_dims(fold->qp[i],
1397 dst_type, dst_pos, src_type, src_pos, n);
1398 if (!fold->qp[i])
1399 goto error;
1400 }
1401
1402 return fold;
1403 error:
1404 isl_qpolynomial_fold_free(fold);
1405 return NULL;
1406 }
1407
1408 /* For each 0 <= i < "n", replace variable "first" + i of type "type"
1409 * in fold->qp[k] by subs[i].
1410 */
1411 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_substitute(
1412 __isl_take isl_qpolynomial_fold *fold,
1413 enum isl_dim_type type, unsigned first, unsigned n,
1414 __isl_keep isl_qpolynomial **subs)
1415 {
1416 int i;
1417
1418 if (n == 0)
1419 return fold;
1420
1421 fold = isl_qpolynomial_fold_cow(fold);
1422 if (!fold)
1423 return NULL;
1424
1425 for (i = 0; i < fold->n; ++i) {
1426 fold->qp[i] = isl_qpolynomial_substitute(fold->qp[i],
1427 type, first, n, subs);
1428 if (!fold->qp[i])
1429 goto error;
1430 }
1431
1432 return fold;
1433 error:
1434 isl_qpolynomial_fold_free(fold);
1435 return NULL;
1436 }
1437
1438 static isl_stat add_pwqp(__isl_take isl_pw_qpolynomial *pwqp, void *user)
1439 {
1440 isl_pw_qpolynomial_fold *pwf;
1441 isl_union_pw_qpolynomial_fold **upwf;
1442 struct isl_hash_table_entry *entry;
1443
1444 upwf = (isl_union_pw_qpolynomial_fold **)user;
1445
1446 entry = isl_union_pw_qpolynomial_fold_find_part_entry(*upwf,
1447 pwqp->dim, 1);
1448 if (!entry)
1449 goto error;
1450
1451 pwf = isl_pw_qpolynomial_fold_from_pw_qpolynomial((*upwf)->type, pwqp);
1452 if (!entry->data)
1453 entry->data = pwf;
1454 else {
1455 entry->data = isl_pw_qpolynomial_fold_add(entry->data, pwf);
1456 if (!entry->data)
1457 return isl_stat_error;
1458 if (isl_pw_qpolynomial_fold_is_zero(entry->data))
1459 *upwf = isl_union_pw_qpolynomial_fold_remove_part_entry(
1460 *upwf, entry);
1461 }
1462
1463 return isl_stat_ok;
1464 error:
1465 isl_pw_qpolynomial_free(pwqp);
1466 return isl_stat_error;
1467 }
1468
1469 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_add_union_pw_qpolynomial(
1470 __isl_take isl_union_pw_qpolynomial_fold *upwf,
1471 __isl_take isl_union_pw_qpolynomial *upwqp)
1472 {
1473 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1474 isl_union_pw_qpolynomial_get_space(upwqp));
1475 upwqp = isl_union_pw_qpolynomial_align_params(upwqp,
1476 isl_union_pw_qpolynomial_fold_get_space(upwf));
1477
1478 upwf = isl_union_pw_qpolynomial_fold_cow(upwf);
1479 if (!upwf || !upwqp)
1480 goto error;
1481
1482 if (isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &add_pwqp,
1483 &upwf) < 0)
1484 goto error;
1485
1486 isl_union_pw_qpolynomial_free(upwqp);
1487
1488 return upwf;
1489 error:
1490 isl_union_pw_qpolynomial_fold_free(upwf);
1491 isl_union_pw_qpolynomial_free(upwqp);
1492 return NULL;
1493 }
1494
1495 static isl_bool join_compatible(__isl_keep isl_space *space1,
1496 __isl_keep isl_space *space2)
1497 {
1498 isl_bool m;
1499 m = isl_space_has_equal_params(space1, space2);
1500 if (m < 0 || !m)
1501 return m;
1502 return isl_space_tuple_is_equal(space1, isl_dim_out,
1503 space2, isl_dim_in);
1504 }
1505
1506 /* Compute the intersection of the range of the map and the domain
1507 * of the piecewise quasipolynomial reduction and then compute a bound
1508 * on the associated quasipolynomial reduction over all elements
1509 * in this intersection.
1510 *
1511 * We first introduce some unconstrained dimensions in the
1512 * piecewise quasipolynomial, intersect the resulting domain
1513 * with the wrapped map and the compute the sum.
1514 */
1515 __isl_give isl_pw_qpolynomial_fold *isl_map_apply_pw_qpolynomial_fold(
1516 __isl_take isl_map *map, __isl_take isl_pw_qpolynomial_fold *pwf,
1517 int *tight)
1518 {
1519 isl_ctx *ctx;
1520 isl_set *dom;
1521 isl_space *map_dim;
1522 isl_space *pwf_dim;
1523 unsigned n_in;
1524 isl_bool ok;
1525
1526 ctx = isl_map_get_ctx(map);
1527 if (!ctx)
1528 goto error;
1529
1530 map_dim = isl_map_get_space(map);
1531 pwf_dim = isl_pw_qpolynomial_fold_get_space(pwf);
1532 ok = join_compatible(map_dim, pwf_dim);
1533 isl_space_free(map_dim);
1534 isl_space_free(pwf_dim);
1535 if (ok < 0)
1536 goto error;
1537 if (!ok)
1538 isl_die(ctx, isl_error_invalid, "incompatible dimensions",
1539 goto error);
1540
1541 n_in = isl_map_dim(map, isl_dim_in);
1542 pwf = isl_pw_qpolynomial_fold_insert_dims(pwf, isl_dim_in, 0, n_in);
1543
1544 dom = isl_map_wrap(map);
1545 pwf = isl_pw_qpolynomial_fold_reset_domain_space(pwf,
1546 isl_set_get_space(dom));
1547
1548 pwf = isl_pw_qpolynomial_fold_intersect_domain(pwf, dom);
1549 pwf = isl_pw_qpolynomial_fold_bound(pwf, tight);
1550
1551 return pwf;
1552 error:
1553 isl_map_free(map);
1554 isl_pw_qpolynomial_fold_free(pwf);
1555 return NULL;
1556 }
1557
1558 __isl_give isl_pw_qpolynomial_fold *isl_set_apply_pw_qpolynomial_fold(
1559 __isl_take isl_set *set, __isl_take isl_pw_qpolynomial_fold *pwf,
1560 int *tight)
1561 {
1562 return isl_map_apply_pw_qpolynomial_fold(set, pwf, tight);
1563 }
1564
1565 struct isl_apply_fold_data {
1566 isl_union_pw_qpolynomial_fold *upwf;
1567 isl_union_pw_qpolynomial_fold *res;
1568 isl_map *map;
1569 int tight;
1570 };
1571
1572 static isl_stat pw_qpolynomial_fold_apply(
1573 __isl_take isl_pw_qpolynomial_fold *pwf, void *user)
1574 {
1575 isl_space *map_dim;
1576 isl_space *pwf_dim;
1577 struct isl_apply_fold_data *data = user;
1578 isl_bool ok;
1579
1580 map_dim = isl_map_get_space(data->map);
1581 pwf_dim = isl_pw_qpolynomial_fold_get_space(pwf);
1582 ok = join_compatible(map_dim, pwf_dim);
1583 isl_space_free(map_dim);
1584 isl_space_free(pwf_dim);
1585
1586 if (ok < 0)
1587 return isl_stat_error;
1588 if (ok) {
1589 pwf = isl_map_apply_pw_qpolynomial_fold(isl_map_copy(data->map),
1590 pwf, data->tight ? &data->tight : NULL);
1591 data->res = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
1592 data->res, pwf);
1593 } else
1594 isl_pw_qpolynomial_fold_free(pwf);
1595
1596 return isl_stat_ok;
1597 }
1598
1599 static isl_stat map_apply(__isl_take isl_map *map, void *user)
1600 {
1601 struct isl_apply_fold_data *data = user;
1602 isl_stat r;
1603
1604 data->map = map;
1605 r = isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(
1606 data->upwf, &pw_qpolynomial_fold_apply, data);
1607
1608 isl_map_free(map);
1609 return r;
1610 }
1611
1612 __isl_give isl_union_pw_qpolynomial_fold *isl_union_map_apply_union_pw_qpolynomial_fold(
1613 __isl_take isl_union_map *umap,
1614 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1615 {
1616 isl_space *dim;
1617 enum isl_fold type;
1618 struct isl_apply_fold_data data;
1619
1620 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1621 isl_union_map_get_space(umap));
1622 umap = isl_union_map_align_params(umap,
1623 isl_union_pw_qpolynomial_fold_get_space(upwf));
1624
1625 data.upwf = upwf;
1626 data.tight = tight ? 1 : 0;
1627 dim = isl_union_pw_qpolynomial_fold_get_space(upwf);
1628 type = isl_union_pw_qpolynomial_fold_get_type(upwf);
1629 data.res = isl_union_pw_qpolynomial_fold_zero(dim, type);
1630 if (isl_union_map_foreach_map(umap, &map_apply, &data) < 0)
1631 goto error;
1632
1633 isl_union_map_free(umap);
1634 isl_union_pw_qpolynomial_fold_free(upwf);
1635
1636 if (tight)
1637 *tight = data.tight;
1638
1639 return data.res;
1640 error:
1641 isl_union_map_free(umap);
1642 isl_union_pw_qpolynomial_fold_free(upwf);
1643 isl_union_pw_qpolynomial_fold_free(data.res);
1644 return NULL;
1645 }
1646
1647 __isl_give isl_union_pw_qpolynomial_fold *isl_union_set_apply_union_pw_qpolynomial_fold(
1648 __isl_take isl_union_set *uset,
1649 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1650 {
1651 return isl_union_map_apply_union_pw_qpolynomial_fold(uset, upwf, tight);
1652 }
1653
1654 /* Reorder the dimension of "fold" according to the given reordering.
1655 */
1656 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_realign_domain(
1657 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_reordering *r)
1658 {
1659 int i;
1660
1661 fold = isl_qpolynomial_fold_cow(fold);
1662 if (!fold || !r)
1663 goto error;
1664
1665 for (i = 0; i < fold->n; ++i) {
1666 fold->qp[i] = isl_qpolynomial_realign_domain(fold->qp[i],
1667 isl_reordering_copy(r));
1668 if (!fold->qp[i])
1669 goto error;
1670 }
1671
1672 fold = isl_qpolynomial_fold_reset_domain_space(fold,
1673 isl_space_copy(r->dim));
1674
1675 isl_reordering_free(r);
1676
1677 return fold;
1678 error:
1679 isl_qpolynomial_fold_free(fold);
1680 isl_reordering_free(r);
1681 return NULL;
1682 }
1683
1684 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_mul_isl_int(
1685 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1686 {
1687 int i;
1688
1689 if (isl_int_is_one(v))
1690 return fold;
1691 if (fold && isl_int_is_zero(v)) {
1692 isl_qpolynomial_fold *zero;
1693 isl_space *dim = isl_space_copy(fold->dim);
1694 zero = isl_qpolynomial_fold_empty(fold->type, dim);
1695 isl_qpolynomial_fold_free(fold);
1696 return zero;
1697 }
1698
1699 fold = isl_qpolynomial_fold_cow(fold);
1700 if (!fold)
1701 return NULL;
1702
1703 if (isl_int_is_neg(v))
1704 fold->type = isl_fold_type_negate(fold->type);
1705 for (i = 0; i < fold->n; ++i) {
1706 fold->qp[i] = isl_qpolynomial_mul_isl_int(fold->qp[i], v);
1707 if (!fold->qp[i])
1708 goto error;
1709 }
1710
1711 return fold;
1712 error:
1713 isl_qpolynomial_fold_free(fold);
1714 return NULL;
1715 }
1716
1717 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_scale(
1718 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1719 {
1720 return isl_qpolynomial_fold_mul_isl_int(fold, v);
1721 }
1722
1723 /* Multiply "fold" by "v".
1724 */
1725 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_scale_val(
1726 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_val *v)
1727 {
1728 int i;
1729
1730 if (!fold || !v)
1731 goto error;
1732
1733 if (isl_val_is_one(v)) {
1734 isl_val_free(v);
1735 return fold;
1736 }
1737 if (isl_val_is_zero(v)) {
1738 isl_qpolynomial_fold *zero;
1739 isl_space *space = isl_qpolynomial_fold_get_domain_space(fold);
1740 zero = isl_qpolynomial_fold_empty(fold->type, space);
1741 isl_qpolynomial_fold_free(fold);
1742 isl_val_free(v);
1743 return zero;
1744 }
1745 if (!isl_val_is_rat(v))
1746 isl_die(isl_qpolynomial_fold_get_ctx(fold), isl_error_invalid,
1747 "expecting rational factor", goto error);
1748
1749 fold = isl_qpolynomial_fold_cow(fold);
1750 if (!fold)
1751 goto error;
1752
1753 if (isl_val_is_neg(v))
1754 fold->type = isl_fold_type_negate(fold->type);
1755 for (i = 0; i < fold->n; ++i) {
1756 fold->qp[i] = isl_qpolynomial_scale_val(fold->qp[i],
1757 isl_val_copy(v));
1758 if (!fold->qp[i])
1759 goto error;
1760 }
1761
1762 isl_val_free(v);
1763 return fold;
1764 error:
1765 isl_val_free(v);
1766 isl_qpolynomial_fold_free(fold);
1767 return NULL;
1768 }
1769
1770 /* Divide "fold" by "v".
1771 */
1772 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_scale_down_val(
1773 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_val *v)
1774 {
1775 if (!fold || !v)
1776 goto error;
1777
1778 if (isl_val_is_one(v)) {
1779 isl_val_free(v);
1780 return fold;
1781 }
1782 if (!isl_val_is_rat(v))
1783 isl_die(isl_qpolynomial_fold_get_ctx(fold), isl_error_invalid,
1784 "expecting rational factor", goto error);
1785 if (isl_val_is_zero(v))
1786 isl_die(isl_val_get_ctx(v), isl_error_invalid,
1787 "cannot scale down by zero", goto error);
1788
1789 return isl_qpolynomial_fold_scale_val(fold, isl_val_inv(v));
1790 error:
1791 isl_val_free(v);
1792 isl_qpolynomial_fold_free(fold);
1793 return NULL;
1794 }
Integer set library