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isl_map_unshifted_simple_hull: take into account all translates
[isl.git] / isl_fold.c
blobc2162cfbf50fc96af16a4d2873bde5409330097c
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 /* Determine the sign of the constant quasipolynomial "qp".
238 *
239 * Return
240 * -1 if qp <= 0
241 * 1 if qp >= 0
242 * 0 if unknown
243 *
244 * For qp == 0, we can return either -1 or 1. In practice, we return 1.
245 * For qp == NaN, the sign is undefined, so we return 0.
246 */
247 static int isl_qpolynomial_cst_sign(__isl_keep isl_qpolynomial *qp)
248 {
249 struct isl_upoly_cst *cst;
250
251 if (isl_qpolynomial_is_nan(qp))
252 return 0;
253
254 cst = isl_upoly_as_cst(qp->upoly);
255 if (!cst)
256 return 0;
257
258 return isl_int_sgn(cst->n) < 0 ? -1 : 1;
259 }
260
261 static int isl_qpolynomial_aff_sign(__isl_keep isl_set *set,
262 __isl_keep isl_qpolynomial *qp)
263 {
264 enum isl_lp_result res;
265 isl_vec *aff;
266 isl_int opt;
267 int sgn = 0;
268
269 aff = isl_qpolynomial_extract_affine(qp);
270 if (!aff)
271 return 0;
272
273 isl_int_init(opt);
274
275 res = isl_set_solve_lp(set, 0, aff->el + 1, aff->el[0],
276 &opt, NULL, NULL);
277 if (res == isl_lp_error)
278 goto done;
279 if (res == isl_lp_empty ||
280 (res == isl_lp_ok && !isl_int_is_neg(opt))) {
281 sgn = 1;
282 goto done;
283 }
284
285 res = isl_set_solve_lp(set, 1, aff->el + 1, aff->el[0],
286 &opt, NULL, NULL);
287 if (res == isl_lp_ok && !isl_int_is_pos(opt))
288 sgn = -1;
289
290 done:
291 isl_int_clear(opt);
292 isl_vec_free(aff);
293 return sgn;
294 }
295
296 /* Determine, if possible, the sign of the quasipolynomial "qp" on
297 * the domain "set".
298 *
299 * If qp is a constant, then the problem is trivial.
300 * If qp is linear, then we check if the minimum of the corresponding
301 * affine constraint is non-negative or if the maximum is non-positive.
302 *
303 * Otherwise, we check if the outermost variable "v" has a lower bound "l"
304 * in "set". If so, we write qp(v,v') as
305 *
306 * q(v,v') * (v - l) + r(v')
307 *
308 * if q(v,v') and r(v') have the same known sign, then the original
309 * quasipolynomial has the same sign as well.
310 *
311 * Return
312 * -1 if qp <= 0
313 * 1 if qp >= 0
314 * 0 if unknown
315 */
316 static int isl_qpolynomial_sign(__isl_keep isl_set *set,
317 __isl_keep isl_qpolynomial *qp)
318 {
319 int d;
320 int i;
321 int is;
322 struct isl_upoly_rec *rec;
323 isl_vec *v;
324 isl_int l;
325 enum isl_lp_result res;
326 int sgn = 0;
327
328 is = isl_qpolynomial_is_cst(qp, NULL, NULL);
329 if (is < 0)
330 return 0;
331 if (is)
332 return isl_qpolynomial_cst_sign(qp);
333
334 is = isl_qpolynomial_is_affine(qp);
335 if (is < 0)
336 return 0;
337 if (is)
338 return isl_qpolynomial_aff_sign(set, qp);
339
340 if (qp->div->n_row > 0)
341 return 0;
342
343 rec = isl_upoly_as_rec(qp->upoly);
344 if (!rec)
345 return 0;
346
347 d = isl_space_dim(qp->dim, isl_dim_all);
348 v = isl_vec_alloc(set->ctx, 2 + d);
349 if (!v)
350 return 0;
351
352 isl_seq_clr(v->el + 1, 1 + d);
353 isl_int_set_si(v->el[0], 1);
354 isl_int_set_si(v->el[2 + qp->upoly->var], 1);
355
356 isl_int_init(l);
357
358 res = isl_set_solve_lp(set, 0, v->el + 1, v->el[0], &l, NULL, NULL);
359 if (res == isl_lp_ok) {
360 isl_qpolynomial *min;
361 isl_qpolynomial *base;
362 isl_qpolynomial *r, *q;
363 isl_qpolynomial *t;
364
365 min = isl_qpolynomial_cst_on_domain(isl_space_copy(qp->dim), l);
366 base = isl_qpolynomial_var_pow_on_domain(isl_space_copy(qp->dim),
367 qp->upoly->var, 1);
368
369 r = isl_qpolynomial_alloc(isl_space_copy(qp->dim), 0,
370 isl_upoly_copy(rec->p[rec->n - 1]));
371 q = isl_qpolynomial_copy(r);
372
373 for (i = rec->n - 2; i >= 0; --i) {
374 r = isl_qpolynomial_mul(r, isl_qpolynomial_copy(min));
375 t = isl_qpolynomial_alloc(isl_space_copy(qp->dim), 0,
376 isl_upoly_copy(rec->p[i]));
377 r = isl_qpolynomial_add(r, t);
378 if (i == 0)
379 break;
380 q = isl_qpolynomial_mul(q, isl_qpolynomial_copy(base));
381 q = isl_qpolynomial_add(q, isl_qpolynomial_copy(r));
382 }
383
384 if (isl_qpolynomial_is_zero(q))
385 sgn = isl_qpolynomial_sign(set, r);
386 else if (isl_qpolynomial_is_zero(r))
387 sgn = isl_qpolynomial_sign(set, q);
388 else {
389 int sgn_q, sgn_r;
390 sgn_r = isl_qpolynomial_sign(set, r);
391 sgn_q = isl_qpolynomial_sign(set, q);
392 if (sgn_r == sgn_q)
393 sgn = sgn_r;
394 }
395
396 isl_qpolynomial_free(min);
397 isl_qpolynomial_free(base);
398 isl_qpolynomial_free(q);
399 isl_qpolynomial_free(r);
400 }
401
402 isl_int_clear(l);
403
404 isl_vec_free(v);
405
406 return sgn;
407 }
408
409 /* Combine "fold1" and "fold2" into a single reduction, eliminating
410 * those elements of one reduction that are already covered by the other
411 * reduction on "set".
412 *
413 * If "fold1" or "fold2" is an empty reduction, then return
414 * the other reduction.
415 * If "fold1" or "fold2" is a NaN, then return this NaN.
416 */
417 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_fold_on_domain(
418 __isl_keep isl_set *set,
419 __isl_take isl_qpolynomial_fold *fold1,
420 __isl_take isl_qpolynomial_fold *fold2)
421 {
422 int i, j;
423 int n1;
424 struct isl_qpolynomial_fold *res = NULL;
425 int better;
426
427 if (!fold1 || !fold2)
428 goto error;
429
430 isl_assert(fold1->dim->ctx, fold1->type == fold2->type, goto error);
431 isl_assert(fold1->dim->ctx, isl_space_is_equal(fold1->dim, fold2->dim),
432 goto error);
433
434 better = fold1->type == isl_fold_max ? -1 : 1;
435
436 if (isl_qpolynomial_fold_is_empty(fold1) ||
437 isl_qpolynomial_fold_is_nan(fold2)) {
438 isl_qpolynomial_fold_free(fold1);
439 return fold2;
440 }
441
442 if (isl_qpolynomial_fold_is_empty(fold2) ||
443 isl_qpolynomial_fold_is_nan(fold1)) {
444 isl_qpolynomial_fold_free(fold2);
445 return fold1;
446 }
447
448 res = qpolynomial_fold_alloc(fold1->type, isl_space_copy(fold1->dim),
449 fold1->n + fold2->n);
450 if (!res)
451 goto error;
452
453 for (i = 0; i < fold1->n; ++i) {
454 res->qp[res->n] = isl_qpolynomial_copy(fold1->qp[i]);
455 if (!res->qp[res->n])
456 goto error;
457 res->n++;
458 }
459 n1 = res->n;
460
461 for (i = 0; i < fold2->n; ++i) {
462 for (j = n1 - 1; j >= 0; --j) {
463 isl_qpolynomial *d;
464 int sgn, equal;
465 equal = isl_qpolynomial_plain_is_equal(res->qp[j],
466 fold2->qp[i]);
467 if (equal < 0)
468 goto error;
469 if (equal)
470 break;
471 d = isl_qpolynomial_sub(
472 isl_qpolynomial_copy(res->qp[j]),
473 isl_qpolynomial_copy(fold2->qp[i]));
474 sgn = isl_qpolynomial_sign(set, d);
475 isl_qpolynomial_free(d);
476 if (sgn == 0)
477 continue;
478 if (sgn != better)
479 break;
480 isl_qpolynomial_free(res->qp[j]);
481 if (j != n1 - 1)
482 res->qp[j] = res->qp[n1 - 1];
483 n1--;
484 if (n1 != res->n - 1)
485 res->qp[n1] = res->qp[res->n - 1];
486 res->n--;
487 }
488 if (j >= 0)
489 continue;
490 res->qp[res->n] = isl_qpolynomial_copy(fold2->qp[i]);
491 if (!res->qp[res->n])
492 goto error;
493 res->n++;
494 }
495
496 isl_qpolynomial_fold_free(fold1);
497 isl_qpolynomial_fold_free(fold2);
498
499 return res;
500 error:
501 isl_qpolynomial_fold_free(res);
502 isl_qpolynomial_fold_free(fold1);
503 isl_qpolynomial_fold_free(fold2);
504 return NULL;
505 }
506
507 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_add_qpolynomial(
508 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_qpolynomial *qp)
509 {
510 int i;
511
512 if (!fold || !qp)
513 goto error;
514
515 if (isl_qpolynomial_is_zero(qp)) {
516 isl_qpolynomial_free(qp);
517 return fold;
518 }
519
520 fold = isl_qpolynomial_fold_cow(fold);
521 if (!fold)
522 goto error;
523
524 for (i = 0; i < fold->n; ++i) {
525 fold->qp[i] = isl_qpolynomial_add(fold->qp[i],
526 isl_qpolynomial_copy(qp));
527 if (!fold->qp[i])
528 goto error;
529 }
530
531 isl_qpolynomial_free(qp);
532 return fold;
533 error:
534 isl_qpolynomial_fold_free(fold);
535 isl_qpolynomial_free(qp);
536 return NULL;
537 }
538
539 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_add_on_domain(
540 __isl_keep isl_set *dom,
541 __isl_take isl_qpolynomial_fold *fold1,
542 __isl_take isl_qpolynomial_fold *fold2)
543 {
544 int i;
545 isl_qpolynomial_fold *res = NULL;
546
547 if (!fold1 || !fold2)
548 goto error;
549
550 if (isl_qpolynomial_fold_is_empty(fold1)) {
551 isl_qpolynomial_fold_free(fold1);
552 return fold2;
553 }
554
555 if (isl_qpolynomial_fold_is_empty(fold2)) {
556 isl_qpolynomial_fold_free(fold2);
557 return fold1;
558 }
559
560 if (fold1->n == 1 && fold2->n != 1)
561 return isl_qpolynomial_fold_add_on_domain(dom, fold2, fold1);
562
563 if (fold2->n == 1) {
564 res = isl_qpolynomial_fold_add_qpolynomial(fold1,
565 isl_qpolynomial_copy(fold2->qp[0]));
566 isl_qpolynomial_fold_free(fold2);
567 return res;
568 }
569
570 res = isl_qpolynomial_fold_add_qpolynomial(
571 isl_qpolynomial_fold_copy(fold1),
572 isl_qpolynomial_copy(fold2->qp[0]));
573
574 for (i = 1; i < fold2->n; ++i) {
575 isl_qpolynomial_fold *res_i;
576 res_i = isl_qpolynomial_fold_add_qpolynomial(
577 isl_qpolynomial_fold_copy(fold1),
578 isl_qpolynomial_copy(fold2->qp[i]));
579 res = isl_qpolynomial_fold_fold_on_domain(dom, res, res_i);
580 }
581
582 isl_qpolynomial_fold_free(fold1);
583 isl_qpolynomial_fold_free(fold2);
584 return res;
585 error:
586 isl_qpolynomial_fold_free(res);
587 isl_qpolynomial_fold_free(fold1);
588 isl_qpolynomial_fold_free(fold2);
589 return NULL;
590 }
591
592 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_substitute_equalities(
593 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_basic_set *eq)
594 {
595 int i;
596
597 if (!fold || !eq)
598 goto error;
599
600 fold = isl_qpolynomial_fold_cow(fold);
601 if (!fold)
602 return NULL;
603
604 for (i = 0; i < fold->n; ++i) {
605 fold->qp[i] = isl_qpolynomial_substitute_equalities(fold->qp[i],
606 isl_basic_set_copy(eq));
607 if (!fold->qp[i])
608 goto error;
609 }
610
611 isl_basic_set_free(eq);
612 return fold;
613 error:
614 isl_basic_set_free(eq);
615 isl_qpolynomial_fold_free(fold);
616 return NULL;
617 }
618
619 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_gist(
620 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *context)
621 {
622 int i;
623
624 if (!fold || !context)
625 goto error;
626
627 fold = isl_qpolynomial_fold_cow(fold);
628 if (!fold)
629 return NULL;
630
631 for (i = 0; i < fold->n; ++i) {
632 fold->qp[i] = isl_qpolynomial_gist(fold->qp[i],
633 isl_set_copy(context));
634 if (!fold->qp[i])
635 goto error;
636 }
637
638 isl_set_free(context);
639 return fold;
640 error:
641 isl_set_free(context);
642 isl_qpolynomial_fold_free(fold);
643 return NULL;
644 }
645
646 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_gist_params(
647 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *context)
648 {
649 isl_space *space = isl_qpolynomial_fold_get_domain_space(fold);
650 isl_set *dom_context = isl_set_universe(space);
651 dom_context = isl_set_intersect_params(dom_context, context);
652 return isl_qpolynomial_fold_gist(fold, dom_context);
653 }
654
655 #define HAS_TYPE
656
657 #undef PW
658 #define PW isl_pw_qpolynomial_fold
659 #undef EL
660 #define EL isl_qpolynomial_fold
661 #undef EL_IS_ZERO
662 #define EL_IS_ZERO is_empty
663 #undef ZERO
664 #define ZERO zero
665 #undef IS_ZERO
666 #define IS_ZERO is_zero
667 #undef FIELD
668 #define FIELD fold
669 #undef DEFAULT_IS_ZERO
670 #define DEFAULT_IS_ZERO 1
671
672 #define NO_NEG
673 #define NO_SUB
674 #define NO_PULLBACK
675
676 #include <isl_pw_templ.c>
677
678 #undef UNION
679 #define UNION isl_union_pw_qpolynomial_fold
680 #undef PART
681 #define PART isl_pw_qpolynomial_fold
682 #undef PARTS
683 #define PARTS pw_qpolynomial_fold
684
685 #define NO_SUB
686
687 #include <isl_union_single.c>
688 #include <isl_union_eval.c>
689
690 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_empty(enum isl_fold type,
691 __isl_take isl_space *dim)
692 {
693 return qpolynomial_fold_alloc(type, dim, 0);
694 }
695
696 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_alloc(
697 enum isl_fold type, __isl_take isl_qpolynomial *qp)
698 {
699 isl_qpolynomial_fold *fold;
700
701 if (!qp)
702 return NULL;
703
704 fold = qpolynomial_fold_alloc(type, isl_space_copy(qp->dim), 1);
705 if (!fold)
706 goto error;
707
708 fold->qp[0] = qp;
709 fold->n++;
710
711 return fold;
712 error:
713 isl_qpolynomial_fold_free(fold);
714 isl_qpolynomial_free(qp);
715 return NULL;
716 }
717
718 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_copy(
719 __isl_keep isl_qpolynomial_fold *fold)
720 {
721 if (!fold)
722 return NULL;
723
724 fold->ref++;
725 return fold;
726 }
727
728 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_dup(
729 __isl_keep isl_qpolynomial_fold *fold)
730 {
731 int i;
732 isl_qpolynomial_fold *dup;
733
734 if (!fold)
735 return NULL;
736 dup = qpolynomial_fold_alloc(fold->type,
737 isl_space_copy(fold->dim), fold->n);
738 if (!dup)
739 return NULL;
740
741 dup->n = fold->n;
742 for (i = 0; i < fold->n; ++i) {
743 dup->qp[i] = isl_qpolynomial_copy(fold->qp[i]);
744 if (!dup->qp[i])
745 goto error;
746 }
747
748 return dup;
749 error:
750 isl_qpolynomial_fold_free(dup);
751 return NULL;
752 }
753
754 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_cow(
755 __isl_take isl_qpolynomial_fold *fold)
756 {
757 if (!fold)
758 return NULL;
759
760 if (fold->ref == 1)
761 return fold;
762 fold->ref--;
763 return isl_qpolynomial_fold_dup(fold);
764 }
765
766 void isl_qpolynomial_fold_free(__isl_take isl_qpolynomial_fold *fold)
767 {
768 int i;
769
770 if (!fold)
771 return;
772 if (--fold->ref > 0)
773 return;
774
775 for (i = 0; i < fold->n; ++i)
776 isl_qpolynomial_free(fold->qp[i]);
777 isl_space_free(fold->dim);
778 free(fold);
779 }
780
781 int isl_qpolynomial_fold_is_empty(__isl_keep isl_qpolynomial_fold *fold)
782 {
783 if (!fold)
784 return -1;
785
786 return fold->n == 0;
787 }
788
789 /* Does "fold" represent max(NaN) or min(NaN)?
790 */
791 isl_bool isl_qpolynomial_fold_is_nan(__isl_keep isl_qpolynomial_fold *fold)
792 {
793 if (!fold)
794 return isl_bool_error;
795 if (fold->n != 1)
796 return isl_bool_false;
797 return isl_qpolynomial_is_nan(fold->qp[0]);
798 }
799
800 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_fold(
801 __isl_take isl_qpolynomial_fold *fold1,
802 __isl_take isl_qpolynomial_fold *fold2)
803 {
804 int i;
805 struct isl_qpolynomial_fold *res = NULL;
806
807 if (!fold1 || !fold2)
808 goto error;
809
810 isl_assert(fold1->dim->ctx, fold1->type == fold2->type, goto error);
811 isl_assert(fold1->dim->ctx, isl_space_is_equal(fold1->dim, fold2->dim),
812 goto error);
813
814 if (isl_qpolynomial_fold_is_empty(fold1)) {
815 isl_qpolynomial_fold_free(fold1);
816 return fold2;
817 }
818
819 if (isl_qpolynomial_fold_is_empty(fold2)) {
820 isl_qpolynomial_fold_free(fold2);
821 return fold1;
822 }
823
824 res = qpolynomial_fold_alloc(fold1->type, isl_space_copy(fold1->dim),
825 fold1->n + fold2->n);
826 if (!res)
827 goto error;
828
829 for (i = 0; i < fold1->n; ++i) {
830 res->qp[res->n] = isl_qpolynomial_copy(fold1->qp[i]);
831 if (!res->qp[res->n])
832 goto error;
833 res->n++;
834 }
835
836 for (i = 0; i < fold2->n; ++i) {
837 res->qp[res->n] = isl_qpolynomial_copy(fold2->qp[i]);
838 if (!res->qp[res->n])
839 goto error;
840 res->n++;
841 }
842
843 isl_qpolynomial_fold_free(fold1);
844 isl_qpolynomial_fold_free(fold2);
845
846 return res;
847 error:
848 isl_qpolynomial_fold_free(res);
849 isl_qpolynomial_fold_free(fold1);
850 isl_qpolynomial_fold_free(fold2);
851 return NULL;
852 }
853
854 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_fold(
855 __isl_take isl_pw_qpolynomial_fold *pw1,
856 __isl_take isl_pw_qpolynomial_fold *pw2)
857 {
858 int i, j, n;
859 struct isl_pw_qpolynomial_fold *res;
860 isl_set *set;
861
862 if (!pw1 || !pw2)
863 goto error;
864
865 isl_assert(pw1->dim->ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
866
867 if (isl_pw_qpolynomial_fold_is_zero(pw1)) {
868 isl_pw_qpolynomial_fold_free(pw1);
869 return pw2;
870 }
871
872 if (isl_pw_qpolynomial_fold_is_zero(pw2)) {
873 isl_pw_qpolynomial_fold_free(pw2);
874 return pw1;
875 }
876
877 if (pw1->type != pw2->type)
878 isl_die(pw1->dim->ctx, isl_error_invalid,
879 "fold types don't match", goto error);
880
881 n = (pw1->n + 1) * (pw2->n + 1);
882 res = isl_pw_qpolynomial_fold_alloc_size(isl_space_copy(pw1->dim),
883 pw1->type, n);
884
885 for (i = 0; i < pw1->n; ++i) {
886 set = isl_set_copy(pw1->p[i].set);
887 for (j = 0; j < pw2->n; ++j) {
888 struct isl_set *common;
889 isl_qpolynomial_fold *sum;
890 set = isl_set_subtract(set,
891 isl_set_copy(pw2->p[j].set));
892 common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
893 isl_set_copy(pw2->p[j].set));
894 if (isl_set_plain_is_empty(common)) {
895 isl_set_free(common);
896 continue;
897 }
898
899 sum = isl_qpolynomial_fold_fold_on_domain(common,
900 isl_qpolynomial_fold_copy(pw1->p[i].fold),
901 isl_qpolynomial_fold_copy(pw2->p[j].fold));
902
903 res = isl_pw_qpolynomial_fold_add_piece(res, common, sum);
904 }
905 res = isl_pw_qpolynomial_fold_add_piece(res, set,
906 isl_qpolynomial_fold_copy(pw1->p[i].fold));
907 }
908
909 for (j = 0; j < pw2->n; ++j) {
910 set = isl_set_copy(pw2->p[j].set);
911 for (i = 0; i < pw1->n; ++i)
912 set = isl_set_subtract(set, isl_set_copy(pw1->p[i].set));
913 res = isl_pw_qpolynomial_fold_add_piece(res, set,
914 isl_qpolynomial_fold_copy(pw2->p[j].fold));
915 }
916
917 isl_pw_qpolynomial_fold_free(pw1);
918 isl_pw_qpolynomial_fold_free(pw2);
919
920 return res;
921 error:
922 isl_pw_qpolynomial_fold_free(pw1);
923 isl_pw_qpolynomial_fold_free(pw2);
924 return NULL;
925 }
926
927 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
928 __isl_take isl_union_pw_qpolynomial_fold *u,
929 __isl_take isl_pw_qpolynomial_fold *part)
930 {
931 struct isl_hash_table_entry *entry;
932
933 u = isl_union_pw_qpolynomial_fold_cow(u);
934
935 if (!part || !u)
936 goto error;
937
938 isl_assert(u->space->ctx,
939 isl_space_match(part->dim, isl_dim_param, u->space, isl_dim_param),
940 goto error);
941
942 entry = isl_union_pw_qpolynomial_fold_find_part_entry(u, part->dim, 1);
943 if (!entry)
944 goto error;
945
946 if (!entry->data)
947 entry->data = part;
948 else {
949 entry->data = isl_pw_qpolynomial_fold_fold(entry->data,
950 isl_pw_qpolynomial_fold_copy(part));
951 if (!entry->data)
952 goto error;
953 isl_pw_qpolynomial_fold_free(part);
954 }
955
956 return u;
957 error:
958 isl_pw_qpolynomial_fold_free(part);
959 isl_union_pw_qpolynomial_fold_free(u);
960 return NULL;
961 }
962
963 static isl_stat fold_part(__isl_take isl_pw_qpolynomial_fold *part, void *user)
964 {
965 isl_union_pw_qpolynomial_fold **u;
966 u = (isl_union_pw_qpolynomial_fold **)user;
967
968 *u = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(*u, part);
969
970 return isl_stat_ok;
971 }
972
973 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_fold(
974 __isl_take isl_union_pw_qpolynomial_fold *u1,
975 __isl_take isl_union_pw_qpolynomial_fold *u2)
976 {
977 u1 = isl_union_pw_qpolynomial_fold_cow(u1);
978
979 if (!u1 || !u2)
980 goto error;
981
982 if (isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(u2,
983 &fold_part, &u1) < 0)
984 goto error;
985
986 isl_union_pw_qpolynomial_fold_free(u2);
987
988 return u1;
989 error:
990 isl_union_pw_qpolynomial_fold_free(u1);
991 isl_union_pw_qpolynomial_fold_free(u2);
992 return NULL;
993 }
994
995 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_from_pw_qpolynomial(
996 enum isl_fold type, __isl_take isl_pw_qpolynomial *pwqp)
997 {
998 int i;
999 isl_pw_qpolynomial_fold *pwf;
1000
1001 if (!pwqp)
1002 return NULL;
1003
1004 pwf = isl_pw_qpolynomial_fold_alloc_size(isl_space_copy(pwqp->dim),
1005 type, pwqp->n);
1006
1007 for (i = 0; i < pwqp->n; ++i)
1008 pwf = isl_pw_qpolynomial_fold_add_piece(pwf,
1009 isl_set_copy(pwqp->p[i].set),
1010 isl_qpolynomial_fold_alloc(type,
1011 isl_qpolynomial_copy(pwqp->p[i].qp)));
1012
1013 isl_pw_qpolynomial_free(pwqp);
1014
1015 return pwf;
1016 }
1017
1018 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_add(
1019 __isl_take isl_pw_qpolynomial_fold *pwf1,
1020 __isl_take isl_pw_qpolynomial_fold *pwf2)
1021 {
1022 return isl_pw_qpolynomial_fold_union_add_(pwf1, pwf2);
1023 }
1024
1025 int isl_qpolynomial_fold_plain_is_equal(__isl_keep isl_qpolynomial_fold *fold1,
1026 __isl_keep isl_qpolynomial_fold *fold2)
1027 {
1028 int i;
1029
1030 if (!fold1 || !fold2)
1031 return -1;
1032
1033 if (fold1->n != fold2->n)
1034 return 0;
1035
1036 /* We probably want to sort the qps first... */
1037 for (i = 0; i < fold1->n; ++i) {
1038 int eq = isl_qpolynomial_plain_is_equal(fold1->qp[i], fold2->qp[i]);
1039 if (eq < 0 || !eq)
1040 return eq;
1041 }
1042
1043 return 1;
1044 }
1045
1046 __isl_give isl_val *isl_qpolynomial_fold_eval(
1047 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_point *pnt)
1048 {
1049 isl_ctx *ctx;
1050 isl_val *v;
1051
1052 if (!fold || !pnt)
1053 goto error;
1054 ctx = isl_point_get_ctx(pnt);
1055 isl_assert(pnt->dim->ctx, isl_space_is_equal(pnt->dim, fold->dim), goto error);
1056 isl_assert(pnt->dim->ctx,
1057 fold->type == isl_fold_max || fold->type == isl_fold_min,
1058 goto error);
1059
1060 if (fold->n == 0)
1061 v = isl_val_zero(ctx);
1062 else {
1063 int i;
1064 v = isl_qpolynomial_eval(isl_qpolynomial_copy(fold->qp[0]),
1065 isl_point_copy(pnt));
1066 for (i = 1; i < fold->n; ++i) {
1067 isl_val *v_i;
1068 v_i = isl_qpolynomial_eval(
1069 isl_qpolynomial_copy(fold->qp[i]),
1070 isl_point_copy(pnt));
1071 if (fold->type == isl_fold_max)
1072 v = isl_val_max(v, v_i);
1073 else
1074 v = isl_val_min(v, v_i);
1075 }
1076 }
1077 isl_qpolynomial_fold_free(fold);
1078 isl_point_free(pnt);
1079
1080 return v;
1081 error:
1082 isl_qpolynomial_fold_free(fold);
1083 isl_point_free(pnt);
1084 return NULL;
1085 }
1086
1087 size_t isl_pw_qpolynomial_fold_size(__isl_keep isl_pw_qpolynomial_fold *pwf)
1088 {
1089 int i;
1090 size_t n = 0;
1091
1092 for (i = 0; i < pwf->n; ++i)
1093 n += pwf->p[i].fold->n;
1094
1095 return n;
1096 }
1097
1098 __isl_give isl_val *isl_qpolynomial_fold_opt_on_domain(
1099 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_set *set, int max)
1100 {
1101 int i;
1102 isl_val *opt;
1103
1104 if (!set || !fold)
1105 goto error;
1106
1107 if (fold->n == 0) {
1108 opt = isl_val_zero(isl_set_get_ctx(set));
1109 isl_set_free(set);
1110 isl_qpolynomial_fold_free(fold);
1111 return opt;
1112 }
1113
1114 opt = isl_qpolynomial_opt_on_domain(isl_qpolynomial_copy(fold->qp[0]),
1115 isl_set_copy(set), max);
1116 for (i = 1; i < fold->n; ++i) {
1117 isl_val *opt_i;
1118 opt_i = isl_qpolynomial_opt_on_domain(
1119 isl_qpolynomial_copy(fold->qp[i]),
1120 isl_set_copy(set), max);
1121 if (max)
1122 opt = isl_val_max(opt, opt_i);
1123 else
1124 opt = isl_val_min(opt, opt_i);
1125 }
1126
1127 isl_set_free(set);
1128 isl_qpolynomial_fold_free(fold);
1129
1130 return opt;
1131 error:
1132 isl_set_free(set);
1133 isl_qpolynomial_fold_free(fold);
1134 return NULL;
1135 }
1136
1137 /* Check whether for each quasi-polynomial in "fold2" there is
1138 * a quasi-polynomial in "fold1" that dominates it on "set".
1139 */
1140 static int qpolynomial_fold_covers_on_domain(__isl_keep isl_set *set,
1141 __isl_keep isl_qpolynomial_fold *fold1,
1142 __isl_keep isl_qpolynomial_fold *fold2)
1143 {
1144 int i, j;
1145 int covers;
1146
1147 if (!set || !fold1 || !fold2)
1148 return -1;
1149
1150 covers = fold1->type == isl_fold_max ? 1 : -1;
1151
1152 for (i = 0; i < fold2->n; ++i) {
1153 for (j = 0; j < fold1->n; ++j) {
1154 isl_qpolynomial *d;
1155 int sgn;
1156
1157 d = isl_qpolynomial_sub(
1158 isl_qpolynomial_copy(fold1->qp[j]),
1159 isl_qpolynomial_copy(fold2->qp[i]));
1160 sgn = isl_qpolynomial_sign(set, d);
1161 isl_qpolynomial_free(d);
1162 if (sgn == covers)
1163 break;
1164 }
1165 if (j >= fold1->n)
1166 return 0;
1167 }
1168
1169 return 1;
1170 }
1171
1172 /* Check whether "pwf1" dominated "pwf2", i.e., the domain of "pwf1" contains
1173 * that of "pwf2" and on each cell, the corresponding fold from pwf1 dominates
1174 * that of pwf2.
1175 */
1176 int isl_pw_qpolynomial_fold_covers(__isl_keep isl_pw_qpolynomial_fold *pwf1,
1177 __isl_keep isl_pw_qpolynomial_fold *pwf2)
1178 {
1179 int i, j;
1180 isl_set *dom1, *dom2;
1181 int is_subset;
1182
1183 if (!pwf1 || !pwf2)
1184 return -1;
1185
1186 if (pwf2->n == 0)
1187 return 1;
1188 if (pwf1->n == 0)
1189 return 0;
1190
1191 dom1 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf1));
1192 dom2 = isl_pw_qpolynomial_fold_domain(isl_pw_qpolynomial_fold_copy(pwf2));
1193 is_subset = isl_set_is_subset(dom2, dom1);
1194 isl_set_free(dom1);
1195 isl_set_free(dom2);
1196
1197 if (is_subset < 0 || !is_subset)
1198 return is_subset;
1199
1200 for (i = 0; i < pwf2->n; ++i) {
1201 for (j = 0; j < pwf1->n; ++j) {
1202 int is_empty;
1203 isl_set *common;
1204 int covers;
1205
1206 common = isl_set_intersect(isl_set_copy(pwf1->p[j].set),
1207 isl_set_copy(pwf2->p[i].set));
1208 is_empty = isl_set_is_empty(common);
1209 if (is_empty < 0 || is_empty) {
1210 isl_set_free(common);
1211 if (is_empty < 0)
1212 return -1;
1213 continue;
1214 }
1215 covers = qpolynomial_fold_covers_on_domain(common,
1216 pwf1->p[j].fold, pwf2->p[i].fold);
1217 isl_set_free(common);
1218 if (covers < 0 || !covers)
1219 return covers;
1220 }
1221 }
1222
1223 return 1;
1224 }
1225
1226 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_morph_domain(
1227 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_morph *morph)
1228 {
1229 int i;
1230 isl_ctx *ctx;
1231
1232 if (!fold || !morph)
1233 goto error;
1234
1235 ctx = fold->dim->ctx;
1236 isl_assert(ctx, isl_space_is_equal(fold->dim, morph->dom->dim), goto error);
1237
1238 fold = isl_qpolynomial_fold_cow(fold);
1239 if (!fold)
1240 goto error;
1241
1242 isl_space_free(fold->dim);
1243 fold->dim = isl_space_copy(morph->ran->dim);
1244 if (!fold->dim)
1245 goto error;
1246
1247 for (i = 0; i < fold->n; ++i) {
1248 fold->qp[i] = isl_qpolynomial_morph_domain(fold->qp[i],
1249 isl_morph_copy(morph));
1250 if (!fold->qp[i])
1251 goto error;
1252 }
1253
1254 isl_morph_free(morph);
1255
1256 return fold;
1257 error:
1258 isl_qpolynomial_fold_free(fold);
1259 isl_morph_free(morph);
1260 return NULL;
1261 }
1262
1263 enum isl_fold isl_qpolynomial_fold_get_type(__isl_keep isl_qpolynomial_fold *fold)
1264 {
1265 if (!fold)
1266 return isl_fold_list;
1267 return fold->type;
1268 }
1269
1270 enum isl_fold isl_union_pw_qpolynomial_fold_get_type(
1271 __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1272 {
1273 if (!upwf)
1274 return isl_fold_list;
1275 return upwf->type;
1276 }
1277
1278 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_lift(
1279 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_space *dim)
1280 {
1281 int i;
1282
1283 if (!fold || !dim)
1284 goto error;
1285
1286 if (isl_space_is_equal(fold->dim, dim)) {
1287 isl_space_free(dim);
1288 return fold;
1289 }
1290
1291 fold = isl_qpolynomial_fold_cow(fold);
1292 if (!fold)
1293 goto error;
1294
1295 isl_space_free(fold->dim);
1296 fold->dim = isl_space_copy(dim);
1297 if (!fold->dim)
1298 goto error;
1299
1300 for (i = 0; i < fold->n; ++i) {
1301 fold->qp[i] = isl_qpolynomial_lift(fold->qp[i],
1302 isl_space_copy(dim));
1303 if (!fold->qp[i])
1304 goto error;
1305 }
1306
1307 isl_space_free(dim);
1308
1309 return fold;
1310 error:
1311 isl_qpolynomial_fold_free(fold);
1312 isl_space_free(dim);
1313 return NULL;
1314 }
1315
1316 isl_stat isl_qpolynomial_fold_foreach_qpolynomial(
1317 __isl_keep isl_qpolynomial_fold *fold,
1318 isl_stat (*fn)(__isl_take isl_qpolynomial *qp, void *user), void *user)
1319 {
1320 int i;
1321
1322 if (!fold)
1323 return isl_stat_error;
1324
1325 for (i = 0; i < fold->n; ++i)
1326 if (fn(isl_qpolynomial_copy(fold->qp[i]), user) < 0)
1327 return isl_stat_error;
1328
1329 return isl_stat_ok;
1330 }
1331
1332 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_move_dims(
1333 __isl_take isl_qpolynomial_fold *fold,
1334 enum isl_dim_type dst_type, unsigned dst_pos,
1335 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1336 {
1337 int i;
1338
1339 if (n == 0)
1340 return fold;
1341
1342 fold = isl_qpolynomial_fold_cow(fold);
1343 if (!fold)
1344 return NULL;
1345
1346 fold->dim = isl_space_move_dims(fold->dim, dst_type, dst_pos,
1347 src_type, src_pos, n);
1348 if (!fold->dim)
1349 goto error;
1350
1351 for (i = 0; i < fold->n; ++i) {
1352 fold->qp[i] = isl_qpolynomial_move_dims(fold->qp[i],
1353 dst_type, dst_pos, src_type, src_pos, n);
1354 if (!fold->qp[i])
1355 goto error;
1356 }
1357
1358 return fold;
1359 error:
1360 isl_qpolynomial_fold_free(fold);
1361 return NULL;
1362 }
1363
1364 /* For each 0 <= i < "n", replace variable "first" + i of type "type"
1365 * in fold->qp[k] by subs[i].
1366 */
1367 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_substitute(
1368 __isl_take isl_qpolynomial_fold *fold,
1369 enum isl_dim_type type, unsigned first, unsigned n,
1370 __isl_keep isl_qpolynomial **subs)
1371 {
1372 int i;
1373
1374 if (n == 0)
1375 return fold;
1376
1377 fold = isl_qpolynomial_fold_cow(fold);
1378 if (!fold)
1379 return NULL;
1380
1381 for (i = 0; i < fold->n; ++i) {
1382 fold->qp[i] = isl_qpolynomial_substitute(fold->qp[i],
1383 type, first, n, subs);
1384 if (!fold->qp[i])
1385 goto error;
1386 }
1387
1388 return fold;
1389 error:
1390 isl_qpolynomial_fold_free(fold);
1391 return NULL;
1392 }
1393
1394 static isl_stat add_pwqp(__isl_take isl_pw_qpolynomial *pwqp, void *user)
1395 {
1396 isl_ctx *ctx;
1397 isl_pw_qpolynomial_fold *pwf;
1398 isl_union_pw_qpolynomial_fold **upwf;
1399 struct isl_hash_table_entry *entry;
1400
1401 upwf = (isl_union_pw_qpolynomial_fold **)user;
1402
1403 ctx = pwqp->dim->ctx;
1404 entry = isl_union_pw_qpolynomial_fold_find_part_entry(*upwf,
1405 pwqp->dim, 1);
1406 if (!entry)
1407 goto error;
1408
1409 pwf = isl_pw_qpolynomial_fold_from_pw_qpolynomial((*upwf)->type, pwqp);
1410 if (!entry->data)
1411 entry->data = pwf;
1412 else {
1413 entry->data = isl_pw_qpolynomial_fold_add(entry->data, pwf);
1414 if (!entry->data)
1415 return isl_stat_error;
1416 if (isl_pw_qpolynomial_fold_is_zero(entry->data))
1417 *upwf = isl_union_pw_qpolynomial_fold_remove_part_entry(
1418 *upwf, entry);
1419 }
1420
1421 return isl_stat_ok;
1422 error:
1423 isl_pw_qpolynomial_free(pwqp);
1424 return isl_stat_error;
1425 }
1426
1427 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_fold_add_union_pw_qpolynomial(
1428 __isl_take isl_union_pw_qpolynomial_fold *upwf,
1429 __isl_take isl_union_pw_qpolynomial *upwqp)
1430 {
1431 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1432 isl_union_pw_qpolynomial_get_space(upwqp));
1433 upwqp = isl_union_pw_qpolynomial_align_params(upwqp,
1434 isl_union_pw_qpolynomial_fold_get_space(upwf));
1435
1436 upwf = isl_union_pw_qpolynomial_fold_cow(upwf);
1437 if (!upwf || !upwqp)
1438 goto error;
1439
1440 if (isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &add_pwqp,
1441 &upwf) < 0)
1442 goto error;
1443
1444 isl_union_pw_qpolynomial_free(upwqp);
1445
1446 return upwf;
1447 error:
1448 isl_union_pw_qpolynomial_fold_free(upwf);
1449 isl_union_pw_qpolynomial_free(upwqp);
1450 return NULL;
1451 }
1452
1453 static int join_compatible(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1454 {
1455 int m;
1456 m = isl_space_match(dim1, isl_dim_param, dim2, isl_dim_param);
1457 if (m < 0 || !m)
1458 return m;
1459 return isl_space_tuple_is_equal(dim1, isl_dim_out, dim2, isl_dim_in);
1460 }
1461
1462 /* Compute the intersection of the range of the map and the domain
1463 * of the piecewise quasipolynomial reduction and then compute a bound
1464 * on the associated quasipolynomial reduction over all elements
1465 * in this intersection.
1466 *
1467 * We first introduce some unconstrained dimensions in the
1468 * piecewise quasipolynomial, intersect the resulting domain
1469 * with the wrapped map and the compute the sum.
1470 */
1471 __isl_give isl_pw_qpolynomial_fold *isl_map_apply_pw_qpolynomial_fold(
1472 __isl_take isl_map *map, __isl_take isl_pw_qpolynomial_fold *pwf,
1473 int *tight)
1474 {
1475 isl_ctx *ctx;
1476 isl_set *dom;
1477 isl_space *map_dim;
1478 isl_space *pwf_dim;
1479 unsigned n_in;
1480 int ok;
1481
1482 ctx = isl_map_get_ctx(map);
1483 if (!ctx)
1484 goto error;
1485
1486 map_dim = isl_map_get_space(map);
1487 pwf_dim = isl_pw_qpolynomial_fold_get_space(pwf);
1488 ok = join_compatible(map_dim, pwf_dim);
1489 isl_space_free(map_dim);
1490 isl_space_free(pwf_dim);
1491 if (!ok)
1492 isl_die(ctx, isl_error_invalid, "incompatible dimensions",
1493 goto error);
1494
1495 n_in = isl_map_dim(map, isl_dim_in);
1496 pwf = isl_pw_qpolynomial_fold_insert_dims(pwf, isl_dim_in, 0, n_in);
1497
1498 dom = isl_map_wrap(map);
1499 pwf = isl_pw_qpolynomial_fold_reset_domain_space(pwf,
1500 isl_set_get_space(dom));
1501
1502 pwf = isl_pw_qpolynomial_fold_intersect_domain(pwf, dom);
1503 pwf = isl_pw_qpolynomial_fold_bound(pwf, tight);
1504
1505 return pwf;
1506 error:
1507 isl_map_free(map);
1508 isl_pw_qpolynomial_fold_free(pwf);
1509 return NULL;
1510 }
1511
1512 __isl_give isl_pw_qpolynomial_fold *isl_set_apply_pw_qpolynomial_fold(
1513 __isl_take isl_set *set, __isl_take isl_pw_qpolynomial_fold *pwf,
1514 int *tight)
1515 {
1516 return isl_map_apply_pw_qpolynomial_fold(set, pwf, tight);
1517 }
1518
1519 struct isl_apply_fold_data {
1520 isl_union_pw_qpolynomial_fold *upwf;
1521 isl_union_pw_qpolynomial_fold *res;
1522 isl_map *map;
1523 int tight;
1524 };
1525
1526 static isl_stat pw_qpolynomial_fold_apply(
1527 __isl_take isl_pw_qpolynomial_fold *pwf, void *user)
1528 {
1529 isl_space *map_dim;
1530 isl_space *pwf_dim;
1531 struct isl_apply_fold_data *data = user;
1532 int ok;
1533
1534 map_dim = isl_map_get_space(data->map);
1535 pwf_dim = isl_pw_qpolynomial_fold_get_space(pwf);
1536 ok = join_compatible(map_dim, pwf_dim);
1537 isl_space_free(map_dim);
1538 isl_space_free(pwf_dim);
1539
1540 if (ok) {
1541 pwf = isl_map_apply_pw_qpolynomial_fold(isl_map_copy(data->map),
1542 pwf, data->tight ? &data->tight : NULL);
1543 data->res = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
1544 data->res, pwf);
1545 } else
1546 isl_pw_qpolynomial_fold_free(pwf);
1547
1548 return isl_stat_ok;
1549 }
1550
1551 static isl_stat map_apply(__isl_take isl_map *map, void *user)
1552 {
1553 struct isl_apply_fold_data *data = user;
1554 isl_stat r;
1555
1556 data->map = map;
1557 r = isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(
1558 data->upwf, &pw_qpolynomial_fold_apply, data);
1559
1560 isl_map_free(map);
1561 return r;
1562 }
1563
1564 __isl_give isl_union_pw_qpolynomial_fold *isl_union_map_apply_union_pw_qpolynomial_fold(
1565 __isl_take isl_union_map *umap,
1566 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1567 {
1568 isl_space *dim;
1569 enum isl_fold type;
1570 struct isl_apply_fold_data data;
1571
1572 upwf = isl_union_pw_qpolynomial_fold_align_params(upwf,
1573 isl_union_map_get_space(umap));
1574 umap = isl_union_map_align_params(umap,
1575 isl_union_pw_qpolynomial_fold_get_space(upwf));
1576
1577 data.upwf = upwf;
1578 data.tight = tight ? 1 : 0;
1579 dim = isl_union_pw_qpolynomial_fold_get_space(upwf);
1580 type = isl_union_pw_qpolynomial_fold_get_type(upwf);
1581 data.res = isl_union_pw_qpolynomial_fold_zero(dim, type);
1582 if (isl_union_map_foreach_map(umap, &map_apply, &data) < 0)
1583 goto error;
1584
1585 isl_union_map_free(umap);
1586 isl_union_pw_qpolynomial_fold_free(upwf);
1587
1588 if (tight)
1589 *tight = data.tight;
1590
1591 return data.res;
1592 error:
1593 isl_union_map_free(umap);
1594 isl_union_pw_qpolynomial_fold_free(upwf);
1595 isl_union_pw_qpolynomial_fold_free(data.res);
1596 return NULL;
1597 }
1598
1599 __isl_give isl_union_pw_qpolynomial_fold *isl_union_set_apply_union_pw_qpolynomial_fold(
1600 __isl_take isl_union_set *uset,
1601 __isl_take isl_union_pw_qpolynomial_fold *upwf, int *tight)
1602 {
1603 return isl_union_map_apply_union_pw_qpolynomial_fold(uset, upwf, tight);
1604 }
1605
1606 /* Reorder the dimension of "fold" according to the given reordering.
1607 */
1608 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_realign_domain(
1609 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_reordering *r)
1610 {
1611 int i;
1612
1613 fold = isl_qpolynomial_fold_cow(fold);
1614 if (!fold || !r)
1615 goto error;
1616
1617 for (i = 0; i < fold->n; ++i) {
1618 fold->qp[i] = isl_qpolynomial_realign_domain(fold->qp[i],
1619 isl_reordering_copy(r));
1620 if (!fold->qp[i])
1621 goto error;
1622 }
1623
1624 fold = isl_qpolynomial_fold_reset_domain_space(fold,
1625 isl_space_copy(r->dim));
1626
1627 isl_reordering_free(r);
1628
1629 return fold;
1630 error:
1631 isl_qpolynomial_fold_free(fold);
1632 isl_reordering_free(r);
1633 return NULL;
1634 }
1635
1636 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_mul_isl_int(
1637 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1638 {
1639 int i;
1640
1641 if (isl_int_is_one(v))
1642 return fold;
1643 if (fold && isl_int_is_zero(v)) {
1644 isl_qpolynomial_fold *zero;
1645 isl_space *dim = isl_space_copy(fold->dim);
1646 zero = isl_qpolynomial_fold_empty(fold->type, dim);
1647 isl_qpolynomial_fold_free(fold);
1648 return zero;
1649 }
1650
1651 fold = isl_qpolynomial_fold_cow(fold);
1652 if (!fold)
1653 return NULL;
1654
1655 if (isl_int_is_neg(v))
1656 fold->type = isl_fold_type_negate(fold->type);
1657 for (i = 0; i < fold->n; ++i) {
1658 fold->qp[i] = isl_qpolynomial_mul_isl_int(fold->qp[i], v);
1659 if (!fold->qp[i])
1660 goto error;
1661 }
1662
1663 return fold;
1664 error:
1665 isl_qpolynomial_fold_free(fold);
1666 return NULL;
1667 }
1668
1669 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_scale(
1670 __isl_take isl_qpolynomial_fold *fold, isl_int v)
1671 {
1672 return isl_qpolynomial_fold_mul_isl_int(fold, v);
1673 }
1674
1675 /* Multiply "fold" by "v".
1676 */
1677 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_scale_val(
1678 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_val *v)
1679 {
1680 int i;
1681
1682 if (!fold || !v)
1683 goto error;
1684
1685 if (isl_val_is_one(v)) {
1686 isl_val_free(v);
1687 return fold;
1688 }
1689 if (isl_val_is_zero(v)) {
1690 isl_qpolynomial_fold *zero;
1691 isl_space *space = isl_qpolynomial_fold_get_domain_space(fold);
1692 zero = isl_qpolynomial_fold_empty(fold->type, space);
1693 isl_qpolynomial_fold_free(fold);
1694 isl_val_free(v);
1695 return zero;
1696 }
1697 if (!isl_val_is_rat(v))
1698 isl_die(isl_qpolynomial_fold_get_ctx(fold), isl_error_invalid,
1699 "expecting rational factor", goto error);
1700
1701 fold = isl_qpolynomial_fold_cow(fold);
1702 if (!fold)
1703 goto error;
1704
1705 if (isl_val_is_neg(v))
1706 fold->type = isl_fold_type_negate(fold->type);
1707 for (i = 0; i < fold->n; ++i) {
1708 fold->qp[i] = isl_qpolynomial_scale_val(fold->qp[i],
1709 isl_val_copy(v));
1710 if (!fold->qp[i])
1711 goto error;
1712 }
1713
1714 isl_val_free(v);
1715 return fold;
1716 error:
1717 isl_val_free(v);
1718 isl_qpolynomial_fold_free(fold);
1719 return NULL;
1720 }
1721
1722 /* Divide "fold" by "v".
1723 */
1724 __isl_give isl_qpolynomial_fold *isl_qpolynomial_fold_scale_down_val(
1725 __isl_take isl_qpolynomial_fold *fold, __isl_take isl_val *v)
1726 {
1727 if (!fold || !v)
1728 goto error;
1729
1730 if (isl_val_is_one(v)) {
1731 isl_val_free(v);
1732 return fold;
1733 }
1734 if (!isl_val_is_rat(v))
1735 isl_die(isl_qpolynomial_fold_get_ctx(fold), isl_error_invalid,
1736 "expecting rational factor", goto error);
1737 if (isl_val_is_zero(v))
1738 isl_die(isl_val_get_ctx(v), isl_error_invalid,
1739 "cannot scale down by zero", goto error);
1740
1741 return isl_qpolynomial_fold_scale_val(fold, isl_val_inv(v));
1742 error:
1743 isl_val_free(v);
1744 isl_qpolynomial_fold_free(fold);
1745 return NULL;
1746 }
Integer set library