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explicitly differentiate between spaces of maps, sets and parameter sets
[isl.git] / isl_aff.c
blob4ebf7b3e0670124e7c9c66a466b52c3fb24eec1b
1 /*
2 * Copyright 2011 INRIA Saclay
3 * Copyright 2011 Sven Verdoolaege
4 *
5 * Use of this software is governed by the GNU LGPLv2.1 license
6 *
7 * Written by Sven Verdoolaege, INRIA Saclay - Ile-de-France,
8 * Parc Club Orsay Universite, ZAC des vignes, 4 rue Jacques Monod,
9 * 91893 Orsay, France
10 */
11
12 #include <isl_ctx_private.h>
13 #include <isl_map_private.h>
14 #include <isl_aff_private.h>
15 #include <isl_space_private.h>
16 #include <isl_local_space_private.h>
17 #include <isl_mat_private.h>
18 #include <isl_list_private.h>
19 #include <isl/constraint.h>
20 #include <isl/seq.h>
21 #include <isl/set.h>
22
23 __isl_give isl_aff *isl_aff_alloc_vec(__isl_take isl_local_space *ls,
24 __isl_take isl_vec *v)
25 {
26 isl_aff *aff;
27
28 if (!ls || !v)
29 goto error;
30
31 aff = isl_calloc_type(v->ctx, struct isl_aff);
32 if (!aff)
33 goto error;
34
35 aff->ref = 1;
36 aff->ls = ls;
37 aff->v = v;
38
39 return aff;
40 error:
41 isl_local_space_free(ls);
42 isl_vec_free(v);
43 return NULL;
44 }
45
46 __isl_give isl_aff *isl_aff_alloc(__isl_take isl_local_space *ls)
47 {
48 isl_ctx *ctx;
49 isl_vec *v;
50 unsigned total;
51
52 if (!ls)
53 return NULL;
54
55 ctx = isl_local_space_get_ctx(ls);
56 if (!isl_local_space_divs_known(ls))
57 isl_die(ctx, isl_error_invalid, "local space has unknown divs",
58 goto error);
59
60 total = isl_local_space_dim(ls, isl_dim_all);
61 v = isl_vec_alloc(ctx, 1 + 1 + total);
62 return isl_aff_alloc_vec(ls, v);
63 error:
64 isl_local_space_free(ls);
65 return NULL;
66 }
67
68 __isl_give isl_aff *isl_aff_zero(__isl_take isl_local_space *ls)
69 {
70 isl_aff *aff;
71
72 aff = isl_aff_alloc(ls);
73 if (!aff)
74 return NULL;
75
76 isl_int_set_si(aff->v->el[0], 1);
77 isl_seq_clr(aff->v->el + 1, aff->v->size - 1);
78
79 return aff;
80 }
81
82 __isl_give isl_aff *isl_aff_copy(__isl_keep isl_aff *aff)
83 {
84 if (!aff)
85 return NULL;
86
87 aff->ref++;
88 return aff;
89 }
90
91 __isl_give isl_aff *isl_aff_dup(__isl_keep isl_aff *aff)
92 {
93 if (!aff)
94 return NULL;
95
96 return isl_aff_alloc_vec(isl_local_space_copy(aff->ls),
97 isl_vec_copy(aff->v));
98 }
99
100 __isl_give isl_aff *isl_aff_cow(__isl_take isl_aff *aff)
101 {
102 if (!aff)
103 return NULL;
104
105 if (aff->ref == 1)
106 return aff;
107 aff->ref--;
108 return isl_aff_dup(aff);
109 }
110
111 void *isl_aff_free(__isl_take isl_aff *aff)
112 {
113 if (!aff)
114 return NULL;
115
116 if (--aff->ref > 0)
117 return NULL;
118
119 isl_local_space_free(aff->ls);
120 isl_vec_free(aff->v);
121
122 free(aff);
123
124 return NULL;
125 }
126
127 isl_ctx *isl_aff_get_ctx(__isl_keep isl_aff *aff)
128 {
129 return aff ? isl_local_space_get_ctx(aff->ls) : NULL;
130 }
131
132 int isl_aff_dim(__isl_keep isl_aff *aff, enum isl_dim_type type)
133 {
134 return aff ? isl_local_space_dim(aff->ls, type) : 0;
135 }
136
137 __isl_give isl_space *isl_aff_get_space(__isl_keep isl_aff *aff)
138 {
139 return aff ? isl_local_space_get_space(aff->ls) : NULL;
140 }
141
142 __isl_give isl_local_space *isl_aff_get_local_space(__isl_keep isl_aff *aff)
143 {
144 return aff ? isl_local_space_copy(aff->ls) : NULL;
145 }
146
147 const char *isl_aff_get_dim_name(__isl_keep isl_aff *aff,
148 enum isl_dim_type type, unsigned pos)
149 {
150 return aff ? isl_local_space_get_dim_name(aff->ls, type, pos) : 0;
151 }
152
153 __isl_give isl_aff *isl_aff_reset_space(__isl_take isl_aff *aff,
154 __isl_take isl_space *dim)
155 {
156 aff = isl_aff_cow(aff);
157 if (!aff || !dim)
158 goto error;
159
160 aff->ls = isl_local_space_reset_space(aff->ls, dim);
161 if (!aff->ls)
162 return isl_aff_free(aff);
163
164 return aff;
165 error:
166 isl_aff_free(aff);
167 isl_space_free(dim);
168 return NULL;
169 }
170
171 /* Reorder the coefficients of the affine expression based
172 * on the given reodering.
173 * The reordering r is assumed to have been extended with the local
174 * variables.
175 */
176 static __isl_give isl_vec *vec_reorder(__isl_take isl_vec *vec,
177 __isl_take isl_reordering *r, int n_div)
178 {
179 isl_vec *res;
180 int i;
181
182 if (!vec || !r)
183 goto error;
184
185 res = isl_vec_alloc(vec->ctx,
186 2 + isl_space_dim(r->dim, isl_dim_all) + n_div);
187 isl_seq_cpy(res->el, vec->el, 2);
188 isl_seq_clr(res->el + 2, res->size - 2);
189 for (i = 0; i < r->len; ++i)
190 isl_int_set(res->el[2 + r->pos[i]], vec->el[2 + i]);
191
192 isl_reordering_free(r);
193 isl_vec_free(vec);
194 return res;
195 error:
196 isl_vec_free(vec);
197 isl_reordering_free(r);
198 return NULL;
199 }
200
201 /* Reorder the dimensions of "aff" according to the given reordering.
202 */
203 __isl_give isl_aff *isl_aff_realign(__isl_take isl_aff *aff,
204 __isl_take isl_reordering *r)
205 {
206 aff = isl_aff_cow(aff);
207 if (!aff)
208 goto error;
209
210 r = isl_reordering_extend(r, aff->ls->div->n_row);
211 aff->v = vec_reorder(aff->v, isl_reordering_copy(r),
212 aff->ls->div->n_row);
213 aff->ls = isl_local_space_realign(aff->ls, r);
214
215 if (!aff->v || !aff->ls)
216 return isl_aff_free(aff);
217
218 return aff;
219 error:
220 isl_aff_free(aff);
221 isl_reordering_free(r);
222 return NULL;
223 }
224
225 int isl_aff_plain_is_zero(__isl_keep isl_aff *aff)
226 {
227 if (!aff)
228 return -1;
229
230 return isl_seq_first_non_zero(aff->v->el + 1, aff->v->size - 1) < 0;
231 }
232
233 int isl_aff_plain_is_equal(__isl_keep isl_aff *aff1, __isl_keep isl_aff *aff2)
234 {
235 int equal;
236
237 if (!aff1 || !aff2)
238 return -1;
239
240 equal = isl_local_space_is_equal(aff1->ls, aff2->ls);
241 if (equal < 0 || !equal)
242 return equal;
243
244 return isl_vec_is_equal(aff1->v, aff2->v);
245 }
246
247 int isl_aff_get_denominator(__isl_keep isl_aff *aff, isl_int *v)
248 {
249 if (!aff)
250 return -1;
251 isl_int_set(*v, aff->v->el[0]);
252 return 0;
253 }
254
255 int isl_aff_get_constant(__isl_keep isl_aff *aff, isl_int *v)
256 {
257 if (!aff)
258 return -1;
259 isl_int_set(*v, aff->v->el[1]);
260 return 0;
261 }
262
263 int isl_aff_get_coefficient(__isl_keep isl_aff *aff,
264 enum isl_dim_type type, int pos, isl_int *v)
265 {
266 if (!aff)
267 return -1;
268
269 if (pos >= isl_local_space_dim(aff->ls, type))
270 isl_die(aff->v->ctx, isl_error_invalid,
271 "position out of bounds", return -1);
272
273 pos += isl_local_space_offset(aff->ls, type);
274 isl_int_set(*v, aff->v->el[1 + pos]);
275
276 return 0;
277 }
278
279 __isl_give isl_aff *isl_aff_set_denominator(__isl_take isl_aff *aff, isl_int v)
280 {
281 aff = isl_aff_cow(aff);
282 if (!aff)
283 return NULL;
284
285 aff->v = isl_vec_cow(aff->v);
286 if (!aff->v)
287 return isl_aff_free(aff);
288
289 isl_int_set(aff->v->el[0], v);
290
291 return aff;
292 }
293
294 __isl_give isl_aff *isl_aff_set_constant(__isl_take isl_aff *aff, isl_int v)
295 {
296 aff = isl_aff_cow(aff);
297 if (!aff)
298 return NULL;
299
300 aff->v = isl_vec_cow(aff->v);
301 if (!aff->v)
302 return isl_aff_free(aff);
303
304 isl_int_set(aff->v->el[1], v);
305
306 return aff;
307 }
308
309 __isl_give isl_aff *isl_aff_add_constant(__isl_take isl_aff *aff, isl_int v)
310 {
311 if (isl_int_is_zero(v))
312 return aff;
313
314 aff = isl_aff_cow(aff);
315 if (!aff)
316 return NULL;
317
318 aff->v = isl_vec_cow(aff->v);
319 if (!aff->v)
320 return isl_aff_free(aff);
321
322 isl_int_addmul(aff->v->el[1], aff->v->el[0], v);
323
324 return aff;
325 }
326
327 __isl_give isl_aff *isl_aff_add_constant_si(__isl_take isl_aff *aff, int v)
328 {
329 isl_int t;
330
331 isl_int_init(t);
332 isl_int_set_si(t, v);
333 aff = isl_aff_add_constant(aff, t);
334 isl_int_clear(t);
335
336 return aff;
337 }
338
339 __isl_give isl_aff *isl_aff_set_constant_si(__isl_take isl_aff *aff, int v)
340 {
341 aff = isl_aff_cow(aff);
342 if (!aff)
343 return NULL;
344
345 aff->v = isl_vec_cow(aff->v);
346 if (!aff->v)
347 return isl_aff_free(aff);
348
349 isl_int_set_si(aff->v->el[1], v);
350
351 return aff;
352 }
353
354 __isl_give isl_aff *isl_aff_set_coefficient(__isl_take isl_aff *aff,
355 enum isl_dim_type type, int pos, isl_int v)
356 {
357 if (!aff)
358 return NULL;
359
360 if (pos >= isl_local_space_dim(aff->ls, type))
361 isl_die(aff->v->ctx, isl_error_invalid,
362 "position out of bounds", return isl_aff_free(aff));
363
364 aff = isl_aff_cow(aff);
365 if (!aff)
366 return NULL;
367
368 aff->v = isl_vec_cow(aff->v);
369 if (!aff->v)
370 return isl_aff_free(aff);
371
372 pos += isl_local_space_offset(aff->ls, type);
373 isl_int_set(aff->v->el[1 + pos], v);
374
375 return aff;
376 }
377
378 __isl_give isl_aff *isl_aff_set_coefficient_si(__isl_take isl_aff *aff,
379 enum isl_dim_type type, int pos, int v)
380 {
381 if (!aff)
382 return NULL;
383
384 if (pos >= isl_local_space_dim(aff->ls, type))
385 isl_die(aff->v->ctx, isl_error_invalid,
386 "position out of bounds", return isl_aff_free(aff));
387
388 aff = isl_aff_cow(aff);
389 if (!aff)
390 return NULL;
391
392 aff->v = isl_vec_cow(aff->v);
393 if (!aff->v)
394 return isl_aff_free(aff);
395
396 pos += isl_local_space_offset(aff->ls, type);
397 isl_int_set_si(aff->v->el[1 + pos], v);
398
399 return aff;
400 }
401
402 __isl_give isl_aff *isl_aff_add_coefficient(__isl_take isl_aff *aff,
403 enum isl_dim_type type, int pos, isl_int v)
404 {
405 if (!aff)
406 return NULL;
407
408 if (pos >= isl_local_space_dim(aff->ls, type))
409 isl_die(aff->v->ctx, isl_error_invalid,
410 "position out of bounds", return isl_aff_free(aff));
411
412 aff = isl_aff_cow(aff);
413 if (!aff)
414 return NULL;
415
416 aff->v = isl_vec_cow(aff->v);
417 if (!aff->v)
418 return isl_aff_free(aff);
419
420 pos += isl_local_space_offset(aff->ls, type);
421 isl_int_addmul(aff->v->el[1 + pos], aff->v->el[0], v);
422
423 return aff;
424 }
425
426 __isl_give isl_aff *isl_aff_add_coefficient_si(__isl_take isl_aff *aff,
427 enum isl_dim_type type, int pos, int v)
428 {
429 isl_int t;
430
431 isl_int_init(t);
432 isl_int_set_si(t, v);
433 aff = isl_aff_add_coefficient(aff, type, pos, t);
434 isl_int_clear(t);
435
436 return aff;
437 }
438
439 __isl_give isl_div *isl_aff_get_div(__isl_keep isl_aff *aff, int pos)
440 {
441 if (!aff)
442 return NULL;
443
444 return isl_local_space_get_div(aff->ls, pos);
445 }
446
447 __isl_give isl_aff *isl_aff_neg(__isl_take isl_aff *aff)
448 {
449 aff = isl_aff_cow(aff);
450 if (!aff)
451 return NULL;
452 aff->v = isl_vec_cow(aff->v);
453 if (!aff->v)
454 return isl_aff_free(aff);
455
456 isl_seq_neg(aff->v->el + 1, aff->v->el + 1, aff->v->size - 1);
457
458 return aff;
459 }
460
461 /* Given f, return floor(f).
462 * If f is an integer expression, then just return f.
463 * Otherwise, if f = g/m, write g = q m + r,
464 * create a new div d = [r/m] and return the expression q + d.
465 * The coefficients in r are taken to lie between -m/2 and m/2.
466 */
467 __isl_give isl_aff *isl_aff_floor(__isl_take isl_aff *aff)
468 {
469 int i;
470 int size;
471 isl_ctx *ctx;
472 isl_vec *div;
473
474 if (!aff)
475 return NULL;
476
477 if (isl_int_is_one(aff->v->el[0]))
478 return aff;
479
480 aff = isl_aff_cow(aff);
481 if (!aff)
482 return NULL;
483
484 aff->v = isl_vec_cow(aff->v);
485 div = isl_vec_copy(aff->v);
486 div = isl_vec_cow(div);
487 if (!div)
488 return isl_aff_free(aff);
489
490 ctx = isl_aff_get_ctx(aff);
491 isl_int_fdiv_q(aff->v->el[0], aff->v->el[0], ctx->two);
492 for (i = 1; i < aff->v->size; ++i) {
493 isl_int_fdiv_r(div->el[i], div->el[i], div->el[0]);
494 isl_int_fdiv_q(aff->v->el[i], aff->v->el[i], div->el[0]);
495 if (isl_int_gt(div->el[i], aff->v->el[0])) {
496 isl_int_sub(div->el[i], div->el[i], div->el[0]);
497 isl_int_add_ui(aff->v->el[i], aff->v->el[i], 1);
498 }
499 }
500
501 aff->ls = isl_local_space_add_div(aff->ls, div);
502 if (!aff->ls)
503 return isl_aff_free(aff);
504
505 size = aff->v->size;
506 aff->v = isl_vec_extend(aff->v, size + 1);
507 if (!aff->v)
508 return isl_aff_free(aff);
509 isl_int_set_si(aff->v->el[0], 1);
510 isl_int_set_si(aff->v->el[size], 1);
511
512 return aff;
513 }
514
515 /* Compute
516 *
517 * aff mod m = aff - m * floor(aff/m)
518 */
519 __isl_give isl_aff *isl_aff_mod(__isl_take isl_aff *aff, isl_int m)
520 {
521 isl_aff *res;
522
523 res = isl_aff_copy(aff);
524 aff = isl_aff_scale_down(aff, m);
525 aff = isl_aff_floor(aff);
526 aff = isl_aff_scale(aff, m);
527 res = isl_aff_sub(res, aff);
528
529 return res;
530 }
531
532 /* Compute
533 *
534 * pwaff mod m = pwaff - m * floor(pwaff/m)
535 */
536 __isl_give isl_pw_aff *isl_pw_aff_mod(__isl_take isl_pw_aff *pwaff, isl_int m)
537 {
538 isl_pw_aff *res;
539
540 res = isl_pw_aff_copy(pwaff);
541 pwaff = isl_pw_aff_scale_down(pwaff, m);
542 pwaff = isl_pw_aff_floor(pwaff);
543 pwaff = isl_pw_aff_scale(pwaff, m);
544 res = isl_pw_aff_sub(res, pwaff);
545
546 return res;
547 }
548
549 /* Given f, return ceil(f).
550 * If f is an integer expression, then just return f.
551 * Otherwise, create a new div d = [-f] and return the expression -d.
552 */
553 __isl_give isl_aff *isl_aff_ceil(__isl_take isl_aff *aff)
554 {
555 if (!aff)
556 return NULL;
557
558 if (isl_int_is_one(aff->v->el[0]))
559 return aff;
560
561 aff = isl_aff_neg(aff);
562 aff = isl_aff_floor(aff);
563 aff = isl_aff_neg(aff);
564
565 return aff;
566 }
567
568 /* Apply the expansion computed by isl_merge_divs.
569 * The expansion itself is given by "exp" while the resulting
570 * list of divs is given by "div".
571 */
572 __isl_give isl_aff *isl_aff_expand_divs( __isl_take isl_aff *aff,
573 __isl_take isl_mat *div, int *exp)
574 {
575 int i, j;
576 int old_n_div;
577 int new_n_div;
578 int offset;
579
580 aff = isl_aff_cow(aff);
581 if (!aff || !div)
582 goto error;
583
584 old_n_div = isl_local_space_dim(aff->ls, isl_dim_div);
585 new_n_div = isl_mat_rows(div);
586 if (new_n_div < old_n_div)
587 isl_die(isl_mat_get_ctx(div), isl_error_invalid,
588 "not an expansion", goto error);
589
590 aff->v = isl_vec_extend(aff->v, aff->v->size + new_n_div - old_n_div);
591 if (!aff->v)
592 goto error;
593
594 offset = 1 + isl_local_space_offset(aff->ls, isl_dim_div);
595 j = old_n_div - 1;
596 for (i = new_n_div - 1; i >= 0; --i) {
597 if (j >= 0 && exp[j] == i) {
598 if (i != j)
599 isl_int_swap(aff->v->el[offset + i],
600 aff->v->el[offset + j]);
601 j--;
602 } else
603 isl_int_set_si(aff->v->el[offset + i], 0);
604 }
605
606 aff->ls = isl_local_space_replace_divs(aff->ls, isl_mat_copy(div));
607 if (!aff->ls)
608 goto error;
609 isl_mat_free(div);
610 return aff;
611 error:
612 isl_aff_free(aff);
613 isl_mat_free(div);
614 return NULL;
615 }
616
617 /* Add two affine expressions that live in the same local space.
618 */
619 static __isl_give isl_aff *add_expanded(__isl_take isl_aff *aff1,
620 __isl_take isl_aff *aff2)
621 {
622 isl_int gcd, f;
623
624 aff1 = isl_aff_cow(aff1);
625 if (!aff1 || !aff2)
626 goto error;
627
628 aff1->v = isl_vec_cow(aff1->v);
629 if (!aff1->v)
630 goto error;
631
632 isl_int_init(gcd);
633 isl_int_init(f);
634 isl_int_gcd(gcd, aff1->v->el[0], aff2->v->el[0]);
635 isl_int_divexact(f, aff2->v->el[0], gcd);
636 isl_seq_scale(aff1->v->el + 1, aff1->v->el + 1, f, aff1->v->size - 1);
637 isl_int_divexact(f, aff1->v->el[0], gcd);
638 isl_seq_addmul(aff1->v->el + 1, f, aff2->v->el + 1, aff1->v->size - 1);
639 isl_int_divexact(f, aff2->v->el[0], gcd);
640 isl_int_mul(aff1->v->el[0], aff1->v->el[0], f);
641 isl_int_clear(f);
642 isl_int_clear(gcd);
643
644 isl_aff_free(aff2);
645 return aff1;
646 error:
647 isl_aff_free(aff1);
648 isl_aff_free(aff2);
649 return NULL;
650 }
651
652 __isl_give isl_aff *isl_aff_add(__isl_take isl_aff *aff1,
653 __isl_take isl_aff *aff2)
654 {
655 isl_ctx *ctx;
656 int *exp1 = NULL;
657 int *exp2 = NULL;
658 isl_mat *div;
659
660 if (!aff1 || !aff2)
661 goto error;
662
663 ctx = isl_aff_get_ctx(aff1);
664 if (!isl_space_is_equal(aff1->ls->dim, aff2->ls->dim))
665 isl_die(ctx, isl_error_invalid,
666 "spaces don't match", goto error);
667
668 if (aff1->ls->div->n_row == 0 && aff2->ls->div->n_row == 0)
669 return add_expanded(aff1, aff2);
670
671 exp1 = isl_alloc_array(ctx, int, aff1->ls->div->n_row);
672 exp2 = isl_alloc_array(ctx, int, aff2->ls->div->n_row);
673 if (!exp1 || !exp2)
674 goto error;
675
676 div = isl_merge_divs(aff1->ls->div, aff2->ls->div, exp1, exp2);
677 aff1 = isl_aff_expand_divs(aff1, isl_mat_copy(div), exp1);
678 aff2 = isl_aff_expand_divs(aff2, div, exp2);
679 free(exp1);
680 free(exp2);
681
682 return add_expanded(aff1, aff2);
683 error:
684 free(exp1);
685 free(exp2);
686 isl_aff_free(aff1);
687 isl_aff_free(aff2);
688 return NULL;
689 }
690
691 __isl_give isl_aff *isl_aff_sub(__isl_take isl_aff *aff1,
692 __isl_take isl_aff *aff2)
693 {
694 return isl_aff_add(aff1, isl_aff_neg(aff2));
695 }
696
697 __isl_give isl_aff *isl_aff_scale(__isl_take isl_aff *aff, isl_int f)
698 {
699 isl_int gcd;
700
701 if (isl_int_is_one(f))
702 return aff;
703
704 aff = isl_aff_cow(aff);
705 if (!aff)
706 return NULL;
707 aff->v = isl_vec_cow(aff->v);
708 if (!aff->v)
709 return isl_aff_free(aff);
710
711 isl_int_init(gcd);
712 isl_int_gcd(gcd, aff->v->el[0], f);
713 isl_int_divexact(aff->v->el[0], aff->v->el[0], gcd);
714 isl_int_divexact(gcd, f, gcd);
715 isl_seq_scale(aff->v->el + 1, aff->v->el + 1, gcd, aff->v->size - 1);
716 isl_int_clear(gcd);
717
718 return aff;
719 }
720
721 __isl_give isl_aff *isl_aff_scale_down(__isl_take isl_aff *aff, isl_int f)
722 {
723 isl_int gcd;
724
725 if (isl_int_is_one(f))
726 return aff;
727
728 aff = isl_aff_cow(aff);
729 if (!aff)
730 return NULL;
731 aff->v = isl_vec_cow(aff->v);
732 if (!aff->v)
733 return isl_aff_free(aff);
734
735 isl_int_init(gcd);
736 isl_seq_gcd(aff->v->el + 1, aff->v->size - 1, &gcd);
737 isl_int_gcd(gcd, gcd, f);
738 isl_seq_scale_down(aff->v->el + 1, aff->v->el + 1, gcd, aff->v->size - 1);
739 isl_int_divexact(gcd, f, gcd);
740 isl_int_mul(aff->v->el[0], aff->v->el[0], gcd);
741 isl_int_clear(gcd);
742
743 return aff;
744 }
745
746 __isl_give isl_aff *isl_aff_scale_down_ui(__isl_take isl_aff *aff, unsigned f)
747 {
748 isl_int v;
749
750 if (f == 1)
751 return aff;
752
753 isl_int_init(v);
754 isl_int_set_ui(v, f);
755 aff = isl_aff_scale_down(aff, v);
756 isl_int_clear(v);
757
758 return aff;
759 }
760
761 __isl_give isl_aff *isl_aff_set_dim_name(__isl_take isl_aff *aff,
762 enum isl_dim_type type, unsigned pos, const char *s)
763 {
764 aff = isl_aff_cow(aff);
765 if (!aff)
766 return NULL;
767 aff->ls = isl_local_space_set_dim_name(aff->ls, type, pos, s);
768 if (!aff->ls)
769 return isl_aff_free(aff);
770
771 return aff;
772 }
773
774 /* Exploit the equalities in "eq" to simplify the affine expression
775 * and the expressions of the integer divisions in the local space.
776 * The integer divisions in this local space are assumed to appear
777 * as regular dimensions in "eq".
778 */
779 static __isl_give isl_aff *isl_aff_substitute_equalities_lifted(
780 __isl_take isl_aff *aff, __isl_take isl_basic_set *eq)
781 {
782 int i, j;
783 unsigned total;
784 unsigned n_div;
785
786 if (!eq)
787 goto error;
788 if (eq->n_eq == 0) {
789 isl_basic_set_free(eq);
790 return aff;
791 }
792
793 aff = isl_aff_cow(aff);
794 if (!aff)
795 goto error;
796
797 aff->ls = isl_local_space_substitute_equalities(aff->ls,
798 isl_basic_set_copy(eq));
799 if (!aff->ls)
800 goto error;
801
802 total = 1 + isl_space_dim(eq->dim, isl_dim_all);
803 n_div = eq->n_div;
804 for (i = 0; i < eq->n_eq; ++i) {
805 j = isl_seq_last_non_zero(eq->eq[i], total + n_div);
806 if (j < 0 || j == 0 || j >= total)
807 continue;
808
809 isl_seq_elim(aff->v->el + 1, eq->eq[i], j, total,
810 &aff->v->el[0]);
811 }
812
813 isl_basic_set_free(eq);
814 return aff;
815 error:
816 isl_basic_set_free(eq);
817 isl_aff_free(aff);
818 return NULL;
819 }
820
821 /* Exploit the equalities in "eq" to simplify the affine expression
822 * and the expressions of the integer divisions in the local space.
823 */
824 static __isl_give isl_aff *isl_aff_substitute_equalities(
825 __isl_take isl_aff *aff, __isl_take isl_basic_set *eq)
826 {
827 int n_div;
828
829 if (!aff || !eq)
830 goto error;
831 n_div = isl_local_space_dim(aff->ls, isl_dim_div);
832 if (n_div > 0)
833 eq = isl_basic_set_add(eq, isl_dim_set, n_div);
834 return isl_aff_substitute_equalities_lifted(aff, eq);
835 error:
836 isl_basic_set_free(eq);
837 isl_aff_free(aff);
838 return NULL;
839 }
840
841 /* Look for equalities among the variables shared by context and aff
842 * and the integer divisions of aff, if any.
843 * The equalities are then used to eliminate coefficients and/or integer
844 * divisions from aff.
845 */
846 __isl_give isl_aff *isl_aff_gist(__isl_take isl_aff *aff,
847 __isl_take isl_set *context)
848 {
849 isl_basic_set *hull;
850 int n_div;
851
852 if (!aff)
853 goto error;
854 n_div = isl_local_space_dim(aff->ls, isl_dim_div);
855 if (n_div > 0) {
856 isl_basic_set *bset;
857 context = isl_set_add_dims(context, isl_dim_set, n_div);
858 bset = isl_basic_set_from_local_space(
859 isl_aff_get_local_space(aff));
860 bset = isl_basic_set_lift(bset);
861 bset = isl_basic_set_flatten(bset);
862 context = isl_set_intersect(context,
863 isl_set_from_basic_set(bset));
864 }
865
866 hull = isl_set_affine_hull(context);
867 return isl_aff_substitute_equalities_lifted(aff, hull);
868 error:
869 isl_aff_free(aff);
870 isl_set_free(context);
871 return NULL;
872 }
873
874 /* Return a basic set containing those elements in the space
875 * of aff where it is non-negative.
876 */
877 __isl_give isl_basic_set *isl_aff_nonneg_basic_set(__isl_take isl_aff *aff)
878 {
879 isl_constraint *ineq;
880
881 ineq = isl_inequality_from_aff(aff);
882
883 return isl_basic_set_from_constraint(ineq);
884 }
885
886 /* Return a basic set containing those elements in the space
887 * of aff where it is zero.
888 */
889 __isl_give isl_basic_set *isl_aff_zero_basic_set(__isl_take isl_aff *aff)
890 {
891 isl_constraint *ineq;
892
893 ineq = isl_equality_from_aff(aff);
894
895 return isl_basic_set_from_constraint(ineq);
896 }
897
898 /* Return a basic set containing those elements in the shared space
899 * of aff1 and aff2 where aff1 is greater than or equal to aff2.
900 */
901 __isl_give isl_basic_set *isl_aff_ge_basic_set(__isl_take isl_aff *aff1,
902 __isl_take isl_aff *aff2)
903 {
904 aff1 = isl_aff_sub(aff1, aff2);
905
906 return isl_aff_nonneg_basic_set(aff1);
907 }
908
909 /* Return a basic set containing those elements in the shared space
910 * of aff1 and aff2 where aff1 is smaller than or equal to aff2.
911 */
912 __isl_give isl_basic_set *isl_aff_le_basic_set(__isl_take isl_aff *aff1,
913 __isl_take isl_aff *aff2)
914 {
915 return isl_aff_ge_basic_set(aff2, aff1);
916 }
917
918 __isl_give isl_aff *isl_aff_add_on_domain(__isl_keep isl_set *dom,
919 __isl_take isl_aff *aff1, __isl_take isl_aff *aff2)
920 {
921 aff1 = isl_aff_add(aff1, aff2);
922 aff1 = isl_aff_gist(aff1, isl_set_copy(dom));
923 return aff1;
924 }
925
926 int isl_aff_is_empty(__isl_keep isl_aff *aff)
927 {
928 if (!aff)
929 return -1;
930
931 return 0;
932 }
933
934 /* Set active[i] to 1 if the dimension at position i is involved
935 * in the affine expression.
936 */
937 static int set_active(__isl_keep isl_aff *aff, int *active)
938 {
939 int i, j;
940 unsigned total;
941 unsigned offset;
942
943 if (!aff || !active)
944 return -1;
945
946 total = aff->v->size - 2;
947 for (i = 0; i < total; ++i)
948 active[i] = !isl_int_is_zero(aff->v->el[2 + i]);
949
950 offset = isl_local_space_offset(aff->ls, isl_dim_div) - 1;
951 for (i = aff->ls->div->n_row - 1; i >= 0; --i) {
952 if (!active[offset + i])
953 continue;
954 for (j = 0; j < total; ++j)
955 active[j] |=
956 !isl_int_is_zero(aff->ls->div->row[i][2 + j]);
957 }
958
959 return 0;
960 }
961
962 /* Check whether the given affine expression has non-zero coefficient
963 * for any dimension in the given range or if any of these dimensions
964 * appear with non-zero coefficients in any of the integer divisions
965 * involved in the affine expression.
966 */
967 int isl_aff_involves_dims(__isl_keep isl_aff *aff,
968 enum isl_dim_type type, unsigned first, unsigned n)
969 {
970 int i;
971 isl_ctx *ctx;
972 int *active = NULL;
973 int involves = 0;
974
975 if (!aff)
976 return -1;
977 if (n == 0)
978 return 0;
979
980 ctx = isl_aff_get_ctx(aff);
981 if (first + n > isl_aff_dim(aff, type))
982 isl_die(ctx, isl_error_invalid,
983 "range out of bounds", return -1);
984
985 active = isl_calloc_array(ctx, int,
986 isl_local_space_dim(aff->ls, isl_dim_all));
987 if (set_active(aff, active) < 0)
988 goto error;
989
990 first += isl_local_space_offset(aff->ls, type) - 1;
991 for (i = 0; i < n; ++i)
992 if (active[first + i]) {
993 involves = 1;
994 break;
995 }
996
997 free(active);
998
999 return involves;
1000 error:
1001 free(active);
1002 return -1;
1003 }
1004
1005 __isl_give isl_aff *isl_aff_drop_dims(__isl_take isl_aff *aff,
1006 enum isl_dim_type type, unsigned first, unsigned n)
1007 {
1008 isl_ctx *ctx;
1009
1010 if (!aff)
1011 return NULL;
1012 if (n == 0 && !isl_local_space_is_named_or_nested(aff->ls, type))
1013 return aff;
1014
1015 ctx = isl_aff_get_ctx(aff);
1016 if (first + n > isl_aff_dim(aff, type))
1017 isl_die(ctx, isl_error_invalid, "range out of bounds",
1018 return isl_aff_free(aff));
1019
1020 aff = isl_aff_cow(aff);
1021 if (!aff)
1022 return NULL;
1023
1024 aff->ls = isl_local_space_drop_dims(aff->ls, type, first, n);
1025 if (!aff->ls)
1026 return isl_aff_free(aff);
1027
1028 first += 1 + isl_local_space_offset(aff->ls, type);
1029 aff->v = isl_vec_drop_els(aff->v, first, n);
1030 if (!aff->v)
1031 return isl_aff_free(aff);
1032
1033 return aff;
1034 }
1035
1036 __isl_give isl_aff *isl_aff_insert_dims(__isl_take isl_aff *aff,
1037 enum isl_dim_type type, unsigned first, unsigned n)
1038 {
1039 isl_ctx *ctx;
1040
1041 if (!aff)
1042 return NULL;
1043 if (n == 0 && !isl_local_space_is_named_or_nested(aff->ls, type))
1044 return aff;
1045
1046 ctx = isl_aff_get_ctx(aff);
1047 if (first > isl_aff_dim(aff, type))
1048 isl_die(ctx, isl_error_invalid, "position out of bounds",
1049 return isl_aff_free(aff));
1050
1051 aff = isl_aff_cow(aff);
1052 if (!aff)
1053 return NULL;
1054
1055 aff->ls = isl_local_space_insert_dims(aff->ls, type, first, n);
1056 if (!aff->ls)
1057 return isl_aff_free(aff);
1058
1059 first += 1 + isl_local_space_offset(aff->ls, type);
1060 aff->v = isl_vec_insert_zero_els(aff->v, first, n);
1061 if (!aff->v)
1062 return isl_aff_free(aff);
1063
1064 return aff;
1065 }
1066
1067 __isl_give isl_aff *isl_aff_add_dims(__isl_take isl_aff *aff,
1068 enum isl_dim_type type, unsigned n)
1069 {
1070 unsigned pos;
1071
1072 pos = isl_aff_dim(aff, type);
1073
1074 return isl_aff_insert_dims(aff, type, pos, n);
1075 }
1076
1077 __isl_give isl_pw_aff *isl_pw_aff_add_dims(__isl_take isl_pw_aff *pwaff,
1078 enum isl_dim_type type, unsigned n)
1079 {
1080 unsigned pos;
1081
1082 pos = isl_pw_aff_dim(pwaff, type);
1083
1084 return isl_pw_aff_insert_dims(pwaff, type, pos, n);
1085 }
1086
1087 __isl_give isl_pw_aff *isl_pw_aff_set_tuple_id(__isl_take isl_pw_aff *pwaff,
1088 __isl_take isl_id *id)
1089 {
1090 isl_space *dim;
1091
1092 dim = isl_pw_aff_get_space(pwaff);
1093 dim = isl_space_set_tuple_id(dim, isl_dim_set, id);
1094
1095 return isl_pw_aff_reset_space(pwaff, dim);
1096 }
1097
1098 __isl_give isl_pw_aff *isl_pw_aff_from_aff(__isl_take isl_aff *aff)
1099 {
1100 isl_set *dom = isl_set_universe(isl_aff_get_space(aff));
1101 return isl_pw_aff_alloc(dom, aff);
1102 }
1103
1104 #undef PW
1105 #define PW isl_pw_aff
1106 #undef EL
1107 #define EL isl_aff
1108 #undef EL_IS_ZERO
1109 #define EL_IS_ZERO is_empty
1110 #undef ZERO
1111 #define ZERO empty
1112 #undef IS_ZERO
1113 #define IS_ZERO is_empty
1114 #undef FIELD
1115 #define FIELD aff
1116
1117 #define NO_EVAL
1118 #define NO_OPT
1119 #define NO_MOVE_DIMS
1120 #define NO_LIFT
1121 #define NO_MORPH
1122
1123 #include <isl_pw_templ.c>
1124
1125 static __isl_give isl_set *align_params_pw_pw_set_and(
1126 __isl_take isl_pw_aff *pwaff1, __isl_take isl_pw_aff *pwaff2,
1127 __isl_give isl_set *(*fn)(__isl_take isl_pw_aff *pwaff1,
1128 __isl_take isl_pw_aff *pwaff2))
1129 {
1130 if (!pwaff1 || !pwaff2)
1131 goto error;
1132 if (isl_space_match(pwaff1->dim, isl_dim_param,
1133 pwaff2->dim, isl_dim_param))
1134 return fn(pwaff1, pwaff2);
1135 if (!isl_space_has_named_params(pwaff1->dim) ||
1136 !isl_space_has_named_params(pwaff2->dim))
1137 isl_die(isl_pw_aff_get_ctx(pwaff1), isl_error_invalid,
1138 "unaligned unnamed parameters", goto error);
1139 pwaff1 = isl_pw_aff_align_params(pwaff1, isl_pw_aff_get_space(pwaff2));
1140 pwaff2 = isl_pw_aff_align_params(pwaff2, isl_pw_aff_get_space(pwaff1));
1141 return fn(pwaff1, pwaff2);
1142 error:
1143 isl_pw_aff_free(pwaff1);
1144 isl_pw_aff_free(pwaff2);
1145 return NULL;
1146 }
1147
1148 /* Compute a piecewise quasi-affine expression with a domain that
1149 * is the union of those of pwaff1 and pwaff2 and such that on each
1150 * cell, the quasi-affine expression is the better (according to cmp)
1151 * of those of pwaff1 and pwaff2. If only one of pwaff1 or pwaff2
1152 * is defined on a given cell, then the associated expression
1153 * is the defined one.
1154 */
1155 static __isl_give isl_pw_aff *pw_aff_union_opt(__isl_take isl_pw_aff *pwaff1,
1156 __isl_take isl_pw_aff *pwaff2,
1157 __isl_give isl_basic_set *(*cmp)(__isl_take isl_aff *aff1,
1158 __isl_take isl_aff *aff2))
1159 {
1160 int i, j, n;
1161 isl_pw_aff *res;
1162 isl_ctx *ctx;
1163 isl_set *set;
1164
1165 if (!pwaff1 || !pwaff2)
1166 goto error;
1167
1168 ctx = isl_space_get_ctx(pwaff1->dim);
1169 if (!isl_space_is_equal(pwaff1->dim, pwaff2->dim))
1170 isl_die(ctx, isl_error_invalid,
1171 "arguments should live in same space", goto error);
1172
1173 if (isl_pw_aff_is_empty(pwaff1)) {
1174 isl_pw_aff_free(pwaff1);
1175 return pwaff2;
1176 }
1177
1178 if (isl_pw_aff_is_empty(pwaff2)) {
1179 isl_pw_aff_free(pwaff2);
1180 return pwaff1;
1181 }
1182
1183 n = 2 * (pwaff1->n + 1) * (pwaff2->n + 1);
1184 res = isl_pw_aff_alloc_size(isl_space_copy(pwaff1->dim), n);
1185
1186 for (i = 0; i < pwaff1->n; ++i) {
1187 set = isl_set_copy(pwaff1->p[i].set);
1188 for (j = 0; j < pwaff2->n; ++j) {
1189 struct isl_set *common;
1190 isl_set *better;
1191
1192 common = isl_set_intersect(
1193 isl_set_copy(pwaff1->p[i].set),
1194 isl_set_copy(pwaff2->p[j].set));
1195 better = isl_set_from_basic_set(cmp(
1196 isl_aff_copy(pwaff2->p[j].aff),
1197 isl_aff_copy(pwaff1->p[i].aff)));
1198 better = isl_set_intersect(common, better);
1199 if (isl_set_plain_is_empty(better)) {
1200 isl_set_free(better);
1201 continue;
1202 }
1203 set = isl_set_subtract(set, isl_set_copy(better));
1204
1205 res = isl_pw_aff_add_piece(res, better,
1206 isl_aff_copy(pwaff2->p[j].aff));
1207 }
1208 res = isl_pw_aff_add_piece(res, set,
1209 isl_aff_copy(pwaff1->p[i].aff));
1210 }
1211
1212 for (j = 0; j < pwaff2->n; ++j) {
1213 set = isl_set_copy(pwaff2->p[j].set);
1214 for (i = 0; i < pwaff1->n; ++i)
1215 set = isl_set_subtract(set,
1216 isl_set_copy(pwaff1->p[i].set));
1217 res = isl_pw_aff_add_piece(res, set,
1218 isl_aff_copy(pwaff2->p[j].aff));
1219 }
1220
1221 isl_pw_aff_free(pwaff1);
1222 isl_pw_aff_free(pwaff2);
1223
1224 return res;
1225 error:
1226 isl_pw_aff_free(pwaff1);
1227 isl_pw_aff_free(pwaff2);
1228 return NULL;
1229 }
1230
1231 /* Compute a piecewise quasi-affine expression with a domain that
1232 * is the union of those of pwaff1 and pwaff2 and such that on each
1233 * cell, the quasi-affine expression is the maximum of those of pwaff1
1234 * and pwaff2. If only one of pwaff1 or pwaff2 is defined on a given
1235 * cell, then the associated expression is the defined one.
1236 */
1237 static __isl_give isl_pw_aff *pw_aff_union_max(__isl_take isl_pw_aff *pwaff1,
1238 __isl_take isl_pw_aff *pwaff2)
1239 {
1240 return pw_aff_union_opt(pwaff1, pwaff2, &isl_aff_ge_basic_set);
1241 }
1242
1243 __isl_give isl_pw_aff *isl_pw_aff_union_max(__isl_take isl_pw_aff *pwaff1,
1244 __isl_take isl_pw_aff *pwaff2)
1245 {
1246 return align_params_pw_pw_and(pwaff1, pwaff2, &pw_aff_union_max);
1247 }
1248
1249 /* Compute a piecewise quasi-affine expression with a domain that
1250 * is the union of those of pwaff1 and pwaff2 and such that on each
1251 * cell, the quasi-affine expression is the minimum of those of pwaff1
1252 * and pwaff2. If only one of pwaff1 or pwaff2 is defined on a given
1253 * cell, then the associated expression is the defined one.
1254 */
1255 static __isl_give isl_pw_aff *pw_aff_union_min(__isl_take isl_pw_aff *pwaff1,
1256 __isl_take isl_pw_aff *pwaff2)
1257 {
1258 return pw_aff_union_opt(pwaff1, pwaff2, &isl_aff_le_basic_set);
1259 }
1260
1261 __isl_give isl_pw_aff *isl_pw_aff_union_min(__isl_take isl_pw_aff *pwaff1,
1262 __isl_take isl_pw_aff *pwaff2)
1263 {
1264 return align_params_pw_pw_and(pwaff1, pwaff2, &pw_aff_union_min);
1265 }
1266
1267 __isl_give isl_pw_aff *isl_pw_aff_union_opt(__isl_take isl_pw_aff *pwaff1,
1268 __isl_take isl_pw_aff *pwaff2, int max)
1269 {
1270 if (max)
1271 return isl_pw_aff_union_max(pwaff1, pwaff2);
1272 else
1273 return isl_pw_aff_union_min(pwaff1, pwaff2);
1274 }
1275
1276 /* Construct a map with as domain the domain of pwaff and
1277 * one-dimensional range corresponding to the affine expressions.
1278 */
1279 static __isl_give isl_map *map_from_pw_aff(__isl_take isl_pw_aff *pwaff)
1280 {
1281 int i;
1282 isl_space *dim;
1283 isl_map *map;
1284
1285 if (!pwaff)
1286 return NULL;
1287
1288 dim = isl_pw_aff_get_space(pwaff);
1289 dim = isl_space_from_domain(dim);
1290 dim = isl_space_add_dims(dim, isl_dim_out, 1);
1291 map = isl_map_empty(dim);
1292
1293 for (i = 0; i < pwaff->n; ++i) {
1294 isl_basic_map *bmap;
1295 isl_map *map_i;
1296
1297 bmap = isl_basic_map_from_aff(isl_aff_copy(pwaff->p[i].aff));
1298 map_i = isl_map_from_basic_map(bmap);
1299 map_i = isl_map_intersect_domain(map_i,
1300 isl_set_copy(pwaff->p[i].set));
1301 map = isl_map_union_disjoint(map, map_i);
1302 }
1303
1304 isl_pw_aff_free(pwaff);
1305
1306 return map;
1307 }
1308
1309 /* Construct a map with as domain the domain of pwaff and
1310 * one-dimensional range corresponding to the affine expressions.
1311 */
1312 __isl_give isl_map *isl_map_from_pw_aff(__isl_take isl_pw_aff *pwaff)
1313 {
1314 if (isl_space_is_params(pwaff->dim))
1315 isl_die(isl_pw_aff_get_ctx(pwaff), isl_error_invalid,
1316 "space of input is not a map",
1317 return isl_pw_aff_free(pwaff));
1318 return map_from_pw_aff(pwaff);
1319 }
1320
1321 /* Construct a one-dimensional set with as parameter domain
1322 * the domain of pwaff and the single set dimension
1323 * corresponding to the affine expressions.
1324 */
1325 __isl_give isl_set *isl_set_from_pw_aff(__isl_take isl_pw_aff *pwaff)
1326 {
1327 if (!isl_space_is_params(pwaff->dim))
1328 isl_die(isl_pw_aff_get_ctx(pwaff), isl_error_invalid,
1329 "space of input is not a set",
1330 return isl_pw_aff_free(pwaff));
1331 return map_from_pw_aff(pwaff);
1332 }
1333
1334 /* Return a set containing those elements in the domain
1335 * of pwaff where it is non-negative.
1336 */
1337 __isl_give isl_set *isl_pw_aff_nonneg_set(__isl_take isl_pw_aff *pwaff)
1338 {
1339 int i;
1340 isl_set *set;
1341
1342 if (!pwaff)
1343 return NULL;
1344
1345 set = isl_set_empty(isl_pw_aff_get_space(pwaff));
1346
1347 for (i = 0; i < pwaff->n; ++i) {
1348 isl_basic_set *bset;
1349 isl_set *set_i;
1350
1351 bset = isl_aff_nonneg_basic_set(isl_aff_copy(pwaff->p[i].aff));
1352 set_i = isl_set_from_basic_set(bset);
1353 set_i = isl_set_intersect(set_i, isl_set_copy(pwaff->p[i].set));
1354 set = isl_set_union_disjoint(set, set_i);
1355 }
1356
1357 isl_pw_aff_free(pwaff);
1358
1359 return set;
1360 }
1361
1362 /* Return a set containing those elements in the domain
1363 * of pwaff where it is zero.
1364 */
1365 __isl_give isl_set *isl_pw_aff_zero_set(__isl_take isl_pw_aff *pwaff)
1366 {
1367 int i;
1368 isl_set *set;
1369
1370 if (!pwaff)
1371 return NULL;
1372
1373 set = isl_set_empty(isl_pw_aff_get_space(pwaff));
1374
1375 for (i = 0; i < pwaff->n; ++i) {
1376 isl_basic_set *bset;
1377 isl_set *set_i;
1378
1379 bset = isl_aff_zero_basic_set(isl_aff_copy(pwaff->p[i].aff));
1380 set_i = isl_set_from_basic_set(bset);
1381 set_i = isl_set_intersect(set_i, isl_set_copy(pwaff->p[i].set));
1382 set = isl_set_union_disjoint(set, set_i);
1383 }
1384
1385 isl_pw_aff_free(pwaff);
1386
1387 return set;
1388 }
1389
1390 /* Return a set containing those elements in the domain
1391 * of pwaff where it is not zero.
1392 */
1393 __isl_give isl_set *isl_pw_aff_non_zero_set(__isl_take isl_pw_aff *pwaff)
1394 {
1395 return isl_set_complement(isl_pw_aff_zero_set(pwaff));
1396 }
1397
1398 /* Return a set containing those elements in the shared domain
1399 * of pwaff1 and pwaff2 where pwaff1 is greater than (or equal) to pwaff2.
1400 *
1401 * We compute the difference on the shared domain and then construct
1402 * the set of values where this difference is non-negative.
1403 * If strict is set, we first subtract 1 from the difference.
1404 * If equal is set, we only return the elements where pwaff1 and pwaff2
1405 * are equal.
1406 */
1407 static __isl_give isl_set *pw_aff_gte_set(__isl_take isl_pw_aff *pwaff1,
1408 __isl_take isl_pw_aff *pwaff2, int strict, int equal)
1409 {
1410 isl_set *set1, *set2;
1411
1412 set1 = isl_pw_aff_domain(isl_pw_aff_copy(pwaff1));
1413 set2 = isl_pw_aff_domain(isl_pw_aff_copy(pwaff2));
1414 set1 = isl_set_intersect(set1, set2);
1415 pwaff1 = isl_pw_aff_intersect_domain(pwaff1, isl_set_copy(set1));
1416 pwaff2 = isl_pw_aff_intersect_domain(pwaff2, isl_set_copy(set1));
1417 pwaff1 = isl_pw_aff_add(pwaff1, isl_pw_aff_neg(pwaff2));
1418
1419 if (strict) {
1420 isl_space *dim = isl_set_get_space(set1);
1421 isl_aff *aff;
1422 aff = isl_aff_zero(isl_local_space_from_space(dim));
1423 aff = isl_aff_add_constant_si(aff, -1);
1424 pwaff1 = isl_pw_aff_add(pwaff1, isl_pw_aff_alloc(set1, aff));
1425 } else
1426 isl_set_free(set1);
1427
1428 if (equal)
1429 return isl_pw_aff_zero_set(pwaff1);
1430 return isl_pw_aff_nonneg_set(pwaff1);
1431 }
1432
1433 /* Return a set containing those elements in the shared domain
1434 * of pwaff1 and pwaff2 where pwaff1 is equal to pwaff2.
1435 */
1436 static __isl_give isl_set *pw_aff_eq_set(__isl_take isl_pw_aff *pwaff1,
1437 __isl_take isl_pw_aff *pwaff2)
1438 {
1439 return pw_aff_gte_set(pwaff1, pwaff2, 0, 1);
1440 }
1441
1442 __isl_give isl_set *isl_pw_aff_eq_set(__isl_take isl_pw_aff *pwaff1,
1443 __isl_take isl_pw_aff *pwaff2)
1444 {
1445 return align_params_pw_pw_set_and(pwaff1, pwaff2, &pw_aff_eq_set);
1446 }
1447
1448 /* Return a set containing those elements in the shared domain
1449 * of pwaff1 and pwaff2 where pwaff1 is greater than or equal to pwaff2.
1450 */
1451 static __isl_give isl_set *pw_aff_ge_set(__isl_take isl_pw_aff *pwaff1,
1452 __isl_take isl_pw_aff *pwaff2)
1453 {
1454 return pw_aff_gte_set(pwaff1, pwaff2, 0, 0);
1455 }
1456
1457 __isl_give isl_set *isl_pw_aff_ge_set(__isl_take isl_pw_aff *pwaff1,
1458 __isl_take isl_pw_aff *pwaff2)
1459 {
1460 return align_params_pw_pw_set_and(pwaff1, pwaff2, &pw_aff_ge_set);
1461 }
1462
1463 /* Return a set containing those elements in the shared domain
1464 * of pwaff1 and pwaff2 where pwaff1 is strictly greater than pwaff2.
1465 */
1466 static __isl_give isl_set *pw_aff_gt_set(__isl_take isl_pw_aff *pwaff1,
1467 __isl_take isl_pw_aff *pwaff2)
1468 {
1469 return pw_aff_gte_set(pwaff1, pwaff2, 1, 0);
1470 }
1471
1472 __isl_give isl_set *isl_pw_aff_gt_set(__isl_take isl_pw_aff *pwaff1,
1473 __isl_take isl_pw_aff *pwaff2)
1474 {
1475 return align_params_pw_pw_set_and(pwaff1, pwaff2, &pw_aff_gt_set);
1476 }
1477
1478 __isl_give isl_set *isl_pw_aff_le_set(__isl_take isl_pw_aff *pwaff1,
1479 __isl_take isl_pw_aff *pwaff2)
1480 {
1481 return isl_pw_aff_ge_set(pwaff2, pwaff1);
1482 }
1483
1484 __isl_give isl_set *isl_pw_aff_lt_set(__isl_take isl_pw_aff *pwaff1,
1485 __isl_take isl_pw_aff *pwaff2)
1486 {
1487 return isl_pw_aff_gt_set(pwaff2, pwaff1);
1488 }
1489
1490 /* Return a set containing those elements in the shared domain
1491 * of the elements of list1 and list2 where each element in list1
1492 * has the relation specified by "fn" with each element in list2.
1493 */
1494 static __isl_give isl_set *pw_aff_list_set(__isl_take isl_pw_aff_list *list1,
1495 __isl_take isl_pw_aff_list *list2,
1496 __isl_give isl_set *(*fn)(__isl_take isl_pw_aff *pwaff1,
1497 __isl_take isl_pw_aff *pwaff2))
1498 {
1499 int i, j;
1500 isl_ctx *ctx;
1501 isl_set *set;
1502
1503 if (!list1 || !list2)
1504 goto error;
1505
1506 ctx = isl_pw_aff_list_get_ctx(list1);
1507 if (list1->n < 1 || list2->n < 1)
1508 isl_die(ctx, isl_error_invalid,
1509 "list should contain at least one element", goto error);
1510
1511 set = isl_set_universe(isl_pw_aff_get_space(list1->p[0]));
1512 for (i = 0; i < list1->n; ++i)
1513 for (j = 0; j < list2->n; ++j) {
1514 isl_set *set_ij;
1515
1516 set_ij = fn(isl_pw_aff_copy(list1->p[i]),
1517 isl_pw_aff_copy(list2->p[j]));
1518 set = isl_set_intersect(set, set_ij);
1519 }
1520
1521 isl_pw_aff_list_free(list1);
1522 isl_pw_aff_list_free(list2);
1523 return set;
1524 error:
1525 isl_pw_aff_list_free(list1);
1526 isl_pw_aff_list_free(list2);
1527 return NULL;
1528 }
1529
1530 /* Return a set containing those elements in the shared domain
1531 * of the elements of list1 and list2 where each element in list1
1532 * is equal to each element in list2.
1533 */
1534 __isl_give isl_set *isl_pw_aff_list_eq_set(__isl_take isl_pw_aff_list *list1,
1535 __isl_take isl_pw_aff_list *list2)
1536 {
1537 return pw_aff_list_set(list1, list2, &isl_pw_aff_eq_set);
1538 }
1539
1540 __isl_give isl_set *isl_pw_aff_list_ne_set(__isl_take isl_pw_aff_list *list1,
1541 __isl_take isl_pw_aff_list *list2)
1542 {
1543 return pw_aff_list_set(list1, list2, &isl_pw_aff_ne_set);
1544 }
1545
1546 /* Return a set containing those elements in the shared domain
1547 * of the elements of list1 and list2 where each element in list1
1548 * is less than or equal to each element in list2.
1549 */
1550 __isl_give isl_set *isl_pw_aff_list_le_set(__isl_take isl_pw_aff_list *list1,
1551 __isl_take isl_pw_aff_list *list2)
1552 {
1553 return pw_aff_list_set(list1, list2, &isl_pw_aff_le_set);
1554 }
1555
1556 __isl_give isl_set *isl_pw_aff_list_lt_set(__isl_take isl_pw_aff_list *list1,
1557 __isl_take isl_pw_aff_list *list2)
1558 {
1559 return pw_aff_list_set(list1, list2, &isl_pw_aff_lt_set);
1560 }
1561
1562 __isl_give isl_set *isl_pw_aff_list_ge_set(__isl_take isl_pw_aff_list *list1,
1563 __isl_take isl_pw_aff_list *list2)
1564 {
1565 return pw_aff_list_set(list1, list2, &isl_pw_aff_ge_set);
1566 }
1567
1568 __isl_give isl_set *isl_pw_aff_list_gt_set(__isl_take isl_pw_aff_list *list1,
1569 __isl_take isl_pw_aff_list *list2)
1570 {
1571 return pw_aff_list_set(list1, list2, &isl_pw_aff_gt_set);
1572 }
1573
1574
1575 /* Return a set containing those elements in the shared domain
1576 * of pwaff1 and pwaff2 where pwaff1 is not equal to pwaff2.
1577 */
1578 static __isl_give isl_set *pw_aff_ne_set(__isl_take isl_pw_aff *pwaff1,
1579 __isl_take isl_pw_aff *pwaff2)
1580 {
1581 isl_set *set_lt, *set_gt;
1582
1583 set_lt = isl_pw_aff_lt_set(isl_pw_aff_copy(pwaff1),
1584 isl_pw_aff_copy(pwaff2));
1585 set_gt = isl_pw_aff_gt_set(pwaff1, pwaff2);
1586 return isl_set_union_disjoint(set_lt, set_gt);
1587 }
1588
1589 __isl_give isl_set *isl_pw_aff_ne_set(__isl_take isl_pw_aff *pwaff1,
1590 __isl_take isl_pw_aff *pwaff2)
1591 {
1592 return align_params_pw_pw_set_and(pwaff1, pwaff2, &pw_aff_ne_set);
1593 }
1594
1595 __isl_give isl_pw_aff *isl_pw_aff_scale_down(__isl_take isl_pw_aff *pwaff,
1596 isl_int v)
1597 {
1598 int i;
1599
1600 if (isl_int_is_one(v))
1601 return pwaff;
1602 if (!isl_int_is_pos(v))
1603 isl_die(isl_pw_aff_get_ctx(pwaff), isl_error_invalid,
1604 "factor needs to be positive",
1605 return isl_pw_aff_free(pwaff));
1606 pwaff = isl_pw_aff_cow(pwaff);
1607 if (!pwaff)
1608 return NULL;
1609 if (pwaff->n == 0)
1610 return pwaff;
1611
1612 for (i = 0; i < pwaff->n; ++i) {
1613 pwaff->p[i].aff = isl_aff_scale_down(pwaff->p[i].aff, v);
1614 if (!pwaff->p[i].aff)
1615 return isl_pw_aff_free(pwaff);
1616 }
1617
1618 return pwaff;
1619 }
1620
1621 __isl_give isl_pw_aff *isl_pw_aff_floor(__isl_take isl_pw_aff *pwaff)
1622 {
1623 int i;
1624
1625 pwaff = isl_pw_aff_cow(pwaff);
1626 if (!pwaff)
1627 return NULL;
1628 if (pwaff->n == 0)
1629 return pwaff;
1630
1631 for (i = 0; i < pwaff->n; ++i) {
1632 pwaff->p[i].aff = isl_aff_floor(pwaff->p[i].aff);
1633 if (!pwaff->p[i].aff)
1634 return isl_pw_aff_free(pwaff);
1635 }
1636
1637 return pwaff;
1638 }
1639
1640 __isl_give isl_pw_aff *isl_pw_aff_ceil(__isl_take isl_pw_aff *pwaff)
1641 {
1642 int i;
1643
1644 pwaff = isl_pw_aff_cow(pwaff);
1645 if (!pwaff)
1646 return NULL;
1647 if (pwaff->n == 0)
1648 return pwaff;
1649
1650 for (i = 0; i < pwaff->n; ++i) {
1651 pwaff->p[i].aff = isl_aff_ceil(pwaff->p[i].aff);
1652 if (!pwaff->p[i].aff)
1653 return isl_pw_aff_free(pwaff);
1654 }
1655
1656 return pwaff;
1657 }
1658
1659 /* Return an affine expression that is equal to pwaff_true for elements
1660 * in "cond" and to pwaff_false for elements not in "cond".
1661 * That is, return cond ? pwaff_true : pwaff_false;
1662 */
1663 __isl_give isl_pw_aff *isl_pw_aff_cond(__isl_take isl_set *cond,
1664 __isl_take isl_pw_aff *pwaff_true, __isl_take isl_pw_aff *pwaff_false)
1665 {
1666 isl_set *comp;
1667
1668 comp = isl_set_complement(isl_set_copy(cond));
1669 pwaff_true = isl_pw_aff_intersect_domain(pwaff_true, cond);
1670 pwaff_false = isl_pw_aff_intersect_domain(pwaff_false, comp);
1671
1672 return isl_pw_aff_add_disjoint(pwaff_true, pwaff_false);
1673 }
1674
1675 int isl_aff_is_cst(__isl_keep isl_aff *aff)
1676 {
1677 if (!aff)
1678 return -1;
1679
1680 return isl_seq_first_non_zero(aff->v->el + 2, aff->v->size - 2) == -1;
1681 }
1682
1683 /* Check whether pwaff is a piecewise constant.
1684 */
1685 int isl_pw_aff_is_cst(__isl_keep isl_pw_aff *pwaff)
1686 {
1687 int i;
1688
1689 if (!pwaff)
1690 return -1;
1691
1692 for (i = 0; i < pwaff->n; ++i) {
1693 int is_cst = isl_aff_is_cst(pwaff->p[i].aff);
1694 if (is_cst < 0 || !is_cst)
1695 return is_cst;
1696 }
1697
1698 return 1;
1699 }
1700
1701 __isl_give isl_aff *isl_aff_mul(__isl_take isl_aff *aff1,
1702 __isl_take isl_aff *aff2)
1703 {
1704 if (!isl_aff_is_cst(aff2) && isl_aff_is_cst(aff1))
1705 return isl_aff_mul(aff2, aff1);
1706
1707 if (!isl_aff_is_cst(aff2))
1708 isl_die(isl_aff_get_ctx(aff1), isl_error_invalid,
1709 "at least one affine expression should be constant",
1710 goto error);
1711
1712 aff1 = isl_aff_cow(aff1);
1713 if (!aff1 || !aff2)
1714 goto error;
1715
1716 aff1 = isl_aff_scale(aff1, aff2->v->el[1]);
1717 aff1 = isl_aff_scale_down(aff1, aff2->v->el[0]);
1718
1719 isl_aff_free(aff2);
1720 return aff1;
1721 error:
1722 isl_aff_free(aff1);
1723 isl_aff_free(aff2);
1724 return NULL;
1725 }
1726
1727 static __isl_give isl_pw_aff *pw_aff_mul(__isl_take isl_pw_aff *pwaff1,
1728 __isl_take isl_pw_aff *pwaff2)
1729 {
1730 int i, j, n;
1731 isl_pw_aff *res;
1732
1733 if (!pwaff1 || !pwaff2)
1734 goto error;
1735
1736 n = pwaff1->n * pwaff2->n;
1737 res = isl_pw_aff_alloc_size(isl_space_copy(pwaff1->dim), n);
1738
1739 for (i = 0; i < pwaff1->n; ++i) {
1740 for (j = 0; j < pwaff2->n; ++j) {
1741 isl_set *common;
1742 isl_aff *prod;
1743 common = isl_set_intersect(
1744 isl_set_copy(pwaff1->p[i].set),
1745 isl_set_copy(pwaff2->p[j].set));
1746 if (isl_set_plain_is_empty(common)) {
1747 isl_set_free(common);
1748 continue;
1749 }
1750
1751 prod = isl_aff_mul(isl_aff_copy(pwaff1->p[i].aff),
1752 isl_aff_copy(pwaff2->p[j].aff));
1753
1754 res = isl_pw_aff_add_piece(res, common, prod);
1755 }
1756 }
1757
1758 isl_pw_aff_free(pwaff1);
1759 isl_pw_aff_free(pwaff2);
1760 return res;
1761 error:
1762 isl_pw_aff_free(pwaff1);
1763 isl_pw_aff_free(pwaff2);
1764 return NULL;
1765 }
1766
1767 __isl_give isl_pw_aff *isl_pw_aff_mul(__isl_take isl_pw_aff *pwaff1,
1768 __isl_take isl_pw_aff *pwaff2)
1769 {
1770 return align_params_pw_pw_and(pwaff1, pwaff2, &pw_aff_mul);
1771 }
1772
1773 static __isl_give isl_pw_aff *pw_aff_min(__isl_take isl_pw_aff *pwaff1,
1774 __isl_take isl_pw_aff *pwaff2)
1775 {
1776 isl_set *le;
1777
1778 le = isl_pw_aff_le_set(isl_pw_aff_copy(pwaff1),
1779 isl_pw_aff_copy(pwaff2));
1780 return isl_pw_aff_cond(le, pwaff1, pwaff2);
1781 }
1782
1783 __isl_give isl_pw_aff *isl_pw_aff_min(__isl_take isl_pw_aff *pwaff1,
1784 __isl_take isl_pw_aff *pwaff2)
1785 {
1786 return align_params_pw_pw_and(pwaff1, pwaff2, &pw_aff_min);
1787 }
1788
1789 static __isl_give isl_pw_aff *pw_aff_max(__isl_take isl_pw_aff *pwaff1,
1790 __isl_take isl_pw_aff *pwaff2)
1791 {
1792 isl_set *le;
1793
1794 le = isl_pw_aff_ge_set(isl_pw_aff_copy(pwaff1),
1795 isl_pw_aff_copy(pwaff2));
1796 return isl_pw_aff_cond(le, pwaff1, pwaff2);
1797 }
1798
1799 __isl_give isl_pw_aff *isl_pw_aff_max(__isl_take isl_pw_aff *pwaff1,
1800 __isl_take isl_pw_aff *pwaff2)
1801 {
1802 return align_params_pw_pw_and(pwaff1, pwaff2, &pw_aff_max);
1803 }
1804
1805 static __isl_give isl_pw_aff *pw_aff_list_reduce(
1806 __isl_take isl_pw_aff_list *list,
1807 __isl_give isl_pw_aff *(*fn)(__isl_take isl_pw_aff *pwaff1,
1808 __isl_take isl_pw_aff *pwaff2))
1809 {
1810 int i;
1811 isl_ctx *ctx;
1812 isl_pw_aff *res;
1813
1814 if (!list)
1815 return NULL;
1816
1817 ctx = isl_pw_aff_list_get_ctx(list);
1818 if (list->n < 1)
1819 isl_die(ctx, isl_error_invalid,
1820 "list should contain at least one element",
1821 return isl_pw_aff_list_free(list));
1822
1823 res = isl_pw_aff_copy(list->p[0]);
1824 for (i = 1; i < list->n; ++i)
1825 res = fn(res, isl_pw_aff_copy(list->p[i]));
1826
1827 isl_pw_aff_list_free(list);
1828 return res;
1829 }
1830
1831 /* Return an isl_pw_aff that maps each element in the intersection of the
1832 * domains of the elements of list to the minimal corresponding affine
1833 * expression.
1834 */
1835 __isl_give isl_pw_aff *isl_pw_aff_list_min(__isl_take isl_pw_aff_list *list)
1836 {
1837 return pw_aff_list_reduce(list, &isl_pw_aff_min);
1838 }
1839
1840 /* Return an isl_pw_aff that maps each element in the intersection of the
1841 * domains of the elements of list to the maximal corresponding affine
1842 * expression.
1843 */
1844 __isl_give isl_pw_aff *isl_pw_aff_list_max(__isl_take isl_pw_aff_list *list)
1845 {
1846 return pw_aff_list_reduce(list, &isl_pw_aff_max);
1847 }
Integer set library