?  search:
summary | log | graphiclog1 | graphiclog2 | commit | commitdiff | tree | refs | edit | fork
blame | history | raw | HEAD
add isl_set_upper_bound_si
[isl.git] / isl_aff.c
blob3881036c7056de91e917c7e7836767916bdf20c5
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 #include <isl_config.h>
23
24 __isl_give isl_aff *isl_aff_alloc_vec(__isl_take isl_local_space *ls,
25 __isl_take isl_vec *v)
26 {
27 isl_aff *aff;
28
29 if (!ls || !v)
30 goto error;
31
32 aff = isl_calloc_type(v->ctx, struct isl_aff);
33 if (!aff)
34 goto error;
35
36 aff->ref = 1;
37 aff->ls = ls;
38 aff->v = v;
39
40 return aff;
41 error:
42 isl_local_space_free(ls);
43 isl_vec_free(v);
44 return NULL;
45 }
46
47 __isl_give isl_aff *isl_aff_alloc(__isl_take isl_local_space *ls)
48 {
49 isl_ctx *ctx;
50 isl_vec *v;
51 unsigned total;
52
53 if (!ls)
54 return NULL;
55
56 ctx = isl_local_space_get_ctx(ls);
57 if (!isl_local_space_divs_known(ls))
58 isl_die(ctx, isl_error_invalid, "local space has unknown divs",
59 goto error);
60 if (!isl_local_space_is_set(ls))
61 isl_die(ctx, isl_error_invalid,
62 "domain of affine expression should be a set",
63 goto error);
64
65 total = isl_local_space_dim(ls, isl_dim_all);
66 v = isl_vec_alloc(ctx, 1 + 1 + total);
67 return isl_aff_alloc_vec(ls, v);
68 error:
69 isl_local_space_free(ls);
70 return NULL;
71 }
72
73 __isl_give isl_aff *isl_aff_zero_on_domain(__isl_take isl_local_space *ls)
74 {
75 isl_aff *aff;
76
77 aff = isl_aff_alloc(ls);
78 if (!aff)
79 return NULL;
80
81 isl_int_set_si(aff->v->el[0], 1);
82 isl_seq_clr(aff->v->el + 1, aff->v->size - 1);
83
84 return aff;
85 }
86
87 __isl_give isl_aff *isl_aff_copy(__isl_keep isl_aff *aff)
88 {
89 if (!aff)
90 return NULL;
91
92 aff->ref++;
93 return aff;
94 }
95
96 __isl_give isl_aff *isl_aff_dup(__isl_keep isl_aff *aff)
97 {
98 if (!aff)
99 return NULL;
100
101 return isl_aff_alloc_vec(isl_local_space_copy(aff->ls),
102 isl_vec_copy(aff->v));
103 }
104
105 __isl_give isl_aff *isl_aff_cow(__isl_take isl_aff *aff)
106 {
107 if (!aff)
108 return NULL;
109
110 if (aff->ref == 1)
111 return aff;
112 aff->ref--;
113 return isl_aff_dup(aff);
114 }
115
116 void *isl_aff_free(__isl_take isl_aff *aff)
117 {
118 if (!aff)
119 return NULL;
120
121 if (--aff->ref > 0)
122 return NULL;
123
124 isl_local_space_free(aff->ls);
125 isl_vec_free(aff->v);
126
127 free(aff);
128
129 return NULL;
130 }
131
132 isl_ctx *isl_aff_get_ctx(__isl_keep isl_aff *aff)
133 {
134 return aff ? isl_local_space_get_ctx(aff->ls) : NULL;
135 }
136
137 /* Externally, an isl_aff has a map space, but internally, the
138 * ls field corresponds to the domain of that space.
139 */
140 int isl_aff_dim(__isl_keep isl_aff *aff, enum isl_dim_type type)
141 {
142 if (!aff)
143 return 0;
144 if (type == isl_dim_out)
145 return 1;
146 if (type == isl_dim_in)
147 type = isl_dim_set;
148 return isl_local_space_dim(aff->ls, type);
149 }
150
151 __isl_give isl_space *isl_aff_get_domain_space(__isl_keep isl_aff *aff)
152 {
153 return aff ? isl_local_space_get_space(aff->ls) : NULL;
154 }
155
156 __isl_give isl_space *isl_aff_get_space(__isl_keep isl_aff *aff)
157 {
158 isl_space *space;
159 if (!aff)
160 return NULL;
161 space = isl_local_space_get_space(aff->ls);
162 space = isl_space_from_domain(space);
163 space = isl_space_add_dims(space, isl_dim_out, 1);
164 return space;
165 }
166
167 __isl_give isl_local_space *isl_aff_get_domain_local_space(
168 __isl_keep isl_aff *aff)
169 {
170 return aff ? isl_local_space_copy(aff->ls) : NULL;
171 }
172
173 __isl_give isl_local_space *isl_aff_get_local_space(__isl_keep isl_aff *aff)
174 {
175 isl_local_space *ls;
176 if (!aff)
177 return NULL;
178 ls = isl_local_space_copy(aff->ls);
179 ls = isl_local_space_from_domain(ls);
180 ls = isl_local_space_add_dims(ls, isl_dim_out, 1);
181 return ls;
182 }
183
184 /* Externally, an isl_aff has a map space, but internally, the
185 * ls field corresponds to the domain of that space.
186 */
187 const char *isl_aff_get_dim_name(__isl_keep isl_aff *aff,
188 enum isl_dim_type type, unsigned pos)
189 {
190 if (!aff)
191 return NULL;
192 if (type == isl_dim_out)
193 return NULL;
194 if (type == isl_dim_in)
195 type = isl_dim_set;
196 return isl_local_space_get_dim_name(aff->ls, type, pos);
197 }
198
199 __isl_give isl_aff *isl_aff_reset_domain_space(__isl_take isl_aff *aff,
200 __isl_take isl_space *dim)
201 {
202 aff = isl_aff_cow(aff);
203 if (!aff || !dim)
204 goto error;
205
206 aff->ls = isl_local_space_reset_space(aff->ls, dim);
207 if (!aff->ls)
208 return isl_aff_free(aff);
209
210 return aff;
211 error:
212 isl_aff_free(aff);
213 isl_space_free(dim);
214 return NULL;
215 }
216
217 /* Reset the space of "aff". This function is called from isl_pw_templ.c
218 * and doesn't know if the space of an element object is represented
219 * directly or through its domain. It therefore passes along both.
220 */
221 __isl_give isl_aff *isl_aff_reset_space_and_domain(__isl_take isl_aff *aff,
222 __isl_take isl_space *space, __isl_take isl_space *domain)
223 {
224 isl_space_free(space);
225 return isl_aff_reset_domain_space(aff, domain);
226 }
227
228 /* Reorder the coefficients of the affine expression based
229 * on the given reodering.
230 * The reordering r is assumed to have been extended with the local
231 * variables.
232 */
233 static __isl_give isl_vec *vec_reorder(__isl_take isl_vec *vec,
234 __isl_take isl_reordering *r, int n_div)
235 {
236 isl_vec *res;
237 int i;
238
239 if (!vec || !r)
240 goto error;
241
242 res = isl_vec_alloc(vec->ctx,
243 2 + isl_space_dim(r->dim, isl_dim_all) + n_div);
244 isl_seq_cpy(res->el, vec->el, 2);
245 isl_seq_clr(res->el + 2, res->size - 2);
246 for (i = 0; i < r->len; ++i)
247 isl_int_set(res->el[2 + r->pos[i]], vec->el[2 + i]);
248
249 isl_reordering_free(r);
250 isl_vec_free(vec);
251 return res;
252 error:
253 isl_vec_free(vec);
254 isl_reordering_free(r);
255 return NULL;
256 }
257
258 /* Reorder the dimensions of the domain of "aff" according
259 * to the given reordering.
260 */
261 __isl_give isl_aff *isl_aff_realign_domain(__isl_take isl_aff *aff,
262 __isl_take isl_reordering *r)
263 {
264 aff = isl_aff_cow(aff);
265 if (!aff)
266 goto error;
267
268 r = isl_reordering_extend(r, aff->ls->div->n_row);
269 aff->v = vec_reorder(aff->v, isl_reordering_copy(r),
270 aff->ls->div->n_row);
271 aff->ls = isl_local_space_realign(aff->ls, r);
272
273 if (!aff->v || !aff->ls)
274 return isl_aff_free(aff);
275
276 return aff;
277 error:
278 isl_aff_free(aff);
279 isl_reordering_free(r);
280 return NULL;
281 }
282
283 int isl_aff_plain_is_zero(__isl_keep isl_aff *aff)
284 {
285 if (!aff)
286 return -1;
287
288 return isl_seq_first_non_zero(aff->v->el + 1, aff->v->size - 1) < 0;
289 }
290
291 int isl_aff_plain_is_equal(__isl_keep isl_aff *aff1, __isl_keep isl_aff *aff2)
292 {
293 int equal;
294
295 if (!aff1 || !aff2)
296 return -1;
297
298 equal = isl_local_space_is_equal(aff1->ls, aff2->ls);
299 if (equal < 0 || !equal)
300 return equal;
301
302 return isl_vec_is_equal(aff1->v, aff2->v);
303 }
304
305 int isl_aff_get_denominator(__isl_keep isl_aff *aff, isl_int *v)
306 {
307 if (!aff)
308 return -1;
309 isl_int_set(*v, aff->v->el[0]);
310 return 0;
311 }
312
313 int isl_aff_get_constant(__isl_keep isl_aff *aff, isl_int *v)
314 {
315 if (!aff)
316 return -1;
317 isl_int_set(*v, aff->v->el[1]);
318 return 0;
319 }
320
321 int isl_aff_get_coefficient(__isl_keep isl_aff *aff,
322 enum isl_dim_type type, int pos, isl_int *v)
323 {
324 if (!aff)
325 return -1;
326
327 if (type == isl_dim_out)
328 isl_die(aff->v->ctx, isl_error_invalid,
329 "output/set dimension does not have a coefficient",
330 return -1);
331 if (type == isl_dim_in)
332 type = isl_dim_set;
333
334 if (pos >= isl_local_space_dim(aff->ls, type))
335 isl_die(aff->v->ctx, isl_error_invalid,
336 "position out of bounds", return -1);
337
338 pos += isl_local_space_offset(aff->ls, type);
339 isl_int_set(*v, aff->v->el[1 + pos]);
340
341 return 0;
342 }
343
344 __isl_give isl_aff *isl_aff_set_denominator(__isl_take isl_aff *aff, isl_int v)
345 {
346 aff = isl_aff_cow(aff);
347 if (!aff)
348 return NULL;
349
350 aff->v = isl_vec_cow(aff->v);
351 if (!aff->v)
352 return isl_aff_free(aff);
353
354 isl_int_set(aff->v->el[0], v);
355
356 return aff;
357 }
358
359 __isl_give isl_aff *isl_aff_set_constant(__isl_take isl_aff *aff, isl_int v)
360 {
361 aff = isl_aff_cow(aff);
362 if (!aff)
363 return NULL;
364
365 aff->v = isl_vec_cow(aff->v);
366 if (!aff->v)
367 return isl_aff_free(aff);
368
369 isl_int_set(aff->v->el[1], v);
370
371 return aff;
372 }
373
374 __isl_give isl_aff *isl_aff_add_constant(__isl_take isl_aff *aff, isl_int v)
375 {
376 if (isl_int_is_zero(v))
377 return aff;
378
379 aff = isl_aff_cow(aff);
380 if (!aff)
381 return NULL;
382
383 aff->v = isl_vec_cow(aff->v);
384 if (!aff->v)
385 return isl_aff_free(aff);
386
387 isl_int_addmul(aff->v->el[1], aff->v->el[0], v);
388
389 return aff;
390 }
391
392 __isl_give isl_aff *isl_aff_add_constant_si(__isl_take isl_aff *aff, int v)
393 {
394 isl_int t;
395
396 isl_int_init(t);
397 isl_int_set_si(t, v);
398 aff = isl_aff_add_constant(aff, t);
399 isl_int_clear(t);
400
401 return aff;
402 }
403
404 __isl_give isl_aff *isl_aff_set_constant_si(__isl_take isl_aff *aff, int v)
405 {
406 aff = isl_aff_cow(aff);
407 if (!aff)
408 return NULL;
409
410 aff->v = isl_vec_cow(aff->v);
411 if (!aff->v)
412 return isl_aff_free(aff);
413
414 isl_int_set_si(aff->v->el[1], v);
415
416 return aff;
417 }
418
419 __isl_give isl_aff *isl_aff_set_coefficient(__isl_take isl_aff *aff,
420 enum isl_dim_type type, int pos, isl_int v)
421 {
422 if (!aff)
423 return NULL;
424
425 if (type == isl_dim_out)
426 isl_die(aff->v->ctx, isl_error_invalid,
427 "output/set dimension does not have a coefficient",
428 return isl_aff_free(aff));
429 if (type == isl_dim_in)
430 type = isl_dim_set;
431
432 if (pos >= isl_local_space_dim(aff->ls, type))
433 isl_die(aff->v->ctx, isl_error_invalid,
434 "position out of bounds", return isl_aff_free(aff));
435
436 aff = isl_aff_cow(aff);
437 if (!aff)
438 return NULL;
439
440 aff->v = isl_vec_cow(aff->v);
441 if (!aff->v)
442 return isl_aff_free(aff);
443
444 pos += isl_local_space_offset(aff->ls, type);
445 isl_int_set(aff->v->el[1 + pos], v);
446
447 return aff;
448 }
449
450 __isl_give isl_aff *isl_aff_set_coefficient_si(__isl_take isl_aff *aff,
451 enum isl_dim_type type, int pos, int v)
452 {
453 if (!aff)
454 return NULL;
455
456 if (type == isl_dim_out)
457 isl_die(aff->v->ctx, isl_error_invalid,
458 "output/set dimension does not have a coefficient",
459 return isl_aff_free(aff));
460 if (type == isl_dim_in)
461 type = isl_dim_set;
462
463 if (pos >= isl_local_space_dim(aff->ls, type))
464 isl_die(aff->v->ctx, isl_error_invalid,
465 "position out of bounds", return isl_aff_free(aff));
466
467 aff = isl_aff_cow(aff);
468 if (!aff)
469 return NULL;
470
471 aff->v = isl_vec_cow(aff->v);
472 if (!aff->v)
473 return isl_aff_free(aff);
474
475 pos += isl_local_space_offset(aff->ls, type);
476 isl_int_set_si(aff->v->el[1 + pos], v);
477
478 return aff;
479 }
480
481 __isl_give isl_aff *isl_aff_add_coefficient(__isl_take isl_aff *aff,
482 enum isl_dim_type type, int pos, isl_int v)
483 {
484 if (!aff)
485 return NULL;
486
487 if (type == isl_dim_out)
488 isl_die(aff->v->ctx, isl_error_invalid,
489 "output/set dimension does not have a coefficient",
490 return isl_aff_free(aff));
491 if (type == isl_dim_in)
492 type = isl_dim_set;
493
494 if (pos >= isl_local_space_dim(aff->ls, type))
495 isl_die(aff->v->ctx, isl_error_invalid,
496 "position out of bounds", return isl_aff_free(aff));
497
498 aff = isl_aff_cow(aff);
499 if (!aff)
500 return NULL;
501
502 aff->v = isl_vec_cow(aff->v);
503 if (!aff->v)
504 return isl_aff_free(aff);
505
506 pos += isl_local_space_offset(aff->ls, type);
507 isl_int_addmul(aff->v->el[1 + pos], aff->v->el[0], v);
508
509 return aff;
510 }
511
512 __isl_give isl_aff *isl_aff_add_coefficient_si(__isl_take isl_aff *aff,
513 enum isl_dim_type type, int pos, int v)
514 {
515 isl_int t;
516
517 isl_int_init(t);
518 isl_int_set_si(t, v);
519 aff = isl_aff_add_coefficient(aff, type, pos, t);
520 isl_int_clear(t);
521
522 return aff;
523 }
524
525 __isl_give isl_aff *isl_aff_get_div(__isl_keep isl_aff *aff, int pos)
526 {
527 if (!aff)
528 return NULL;
529
530 return isl_local_space_get_div(aff->ls, pos);
531 }
532
533 __isl_give isl_aff *isl_aff_neg(__isl_take isl_aff *aff)
534 {
535 aff = isl_aff_cow(aff);
536 if (!aff)
537 return NULL;
538 aff->v = isl_vec_cow(aff->v);
539 if (!aff->v)
540 return isl_aff_free(aff);
541
542 isl_seq_neg(aff->v->el + 1, aff->v->el + 1, aff->v->size - 1);
543
544 return aff;
545 }
546
547 __isl_give isl_aff *isl_aff_normalize(__isl_take isl_aff *aff)
548 {
549 if (!aff)
550 return NULL;
551 aff->v = isl_vec_normalize(aff->v);
552 if (!aff->v)
553 return isl_aff_free(aff);
554 return aff;
555 }
556
557 /* Given f, return floor(f).
558 * If f is an integer expression, then just return f.
559 * Otherwise, if f = g/m, write g = q m + r,
560 * create a new div d = [r/m] and return the expression q + d.
561 * The coefficients in r are taken to lie between -m/2 and m/2.
562 */
563 __isl_give isl_aff *isl_aff_floor(__isl_take isl_aff *aff)
564 {
565 int i;
566 int size;
567 isl_ctx *ctx;
568 isl_vec *div;
569
570 if (!aff)
571 return NULL;
572
573 if (isl_int_is_one(aff->v->el[0]))
574 return aff;
575
576 aff = isl_aff_cow(aff);
577 if (!aff)
578 return NULL;
579
580 aff->v = isl_vec_cow(aff->v);
581 div = isl_vec_copy(aff->v);
582 div = isl_vec_cow(div);
583 if (!div)
584 return isl_aff_free(aff);
585
586 ctx = isl_aff_get_ctx(aff);
587 isl_int_fdiv_q(aff->v->el[0], aff->v->el[0], ctx->two);
588 for (i = 1; i < aff->v->size; ++i) {
589 isl_int_fdiv_r(div->el[i], div->el[i], div->el[0]);
590 isl_int_fdiv_q(aff->v->el[i], aff->v->el[i], div->el[0]);
591 if (isl_int_gt(div->el[i], aff->v->el[0])) {
592 isl_int_sub(div->el[i], div->el[i], div->el[0]);
593 isl_int_add_ui(aff->v->el[i], aff->v->el[i], 1);
594 }
595 }
596
597 aff->ls = isl_local_space_add_div(aff->ls, div);
598 if (!aff->ls)
599 return isl_aff_free(aff);
600
601 size = aff->v->size;
602 aff->v = isl_vec_extend(aff->v, size + 1);
603 if (!aff->v)
604 return isl_aff_free(aff);
605 isl_int_set_si(aff->v->el[0], 1);
606 isl_int_set_si(aff->v->el[size], 1);
607
608 return aff;
609 }
610
611 /* Compute
612 *
613 * aff mod m = aff - m * floor(aff/m)
614 */
615 __isl_give isl_aff *isl_aff_mod(__isl_take isl_aff *aff, isl_int m)
616 {
617 isl_aff *res;
618
619 res = isl_aff_copy(aff);
620 aff = isl_aff_scale_down(aff, m);
621 aff = isl_aff_floor(aff);
622 aff = isl_aff_scale(aff, m);
623 res = isl_aff_sub(res, aff);
624
625 return res;
626 }
627
628 /* Compute
629 *
630 * pwaff mod m = pwaff - m * floor(pwaff/m)
631 */
632 __isl_give isl_pw_aff *isl_pw_aff_mod(__isl_take isl_pw_aff *pwaff, isl_int m)
633 {
634 isl_pw_aff *res;
635
636 res = isl_pw_aff_copy(pwaff);
637 pwaff = isl_pw_aff_scale_down(pwaff, m);
638 pwaff = isl_pw_aff_floor(pwaff);
639 pwaff = isl_pw_aff_scale(pwaff, m);
640 res = isl_pw_aff_sub(res, pwaff);
641
642 return res;
643 }
644
645 /* Given f, return ceil(f).
646 * If f is an integer expression, then just return f.
647 * Otherwise, create a new div d = [-f] and return the expression -d.
648 */
649 __isl_give isl_aff *isl_aff_ceil(__isl_take isl_aff *aff)
650 {
651 if (!aff)
652 return NULL;
653
654 if (isl_int_is_one(aff->v->el[0]))
655 return aff;
656
657 aff = isl_aff_neg(aff);
658 aff = isl_aff_floor(aff);
659 aff = isl_aff_neg(aff);
660
661 return aff;
662 }
663
664 /* Apply the expansion computed by isl_merge_divs.
665 * The expansion itself is given by "exp" while the resulting
666 * list of divs is given by "div".
667 */
668 __isl_give isl_aff *isl_aff_expand_divs( __isl_take isl_aff *aff,
669 __isl_take isl_mat *div, int *exp)
670 {
671 int i, j;
672 int old_n_div;
673 int new_n_div;
674 int offset;
675
676 aff = isl_aff_cow(aff);
677 if (!aff || !div)
678 goto error;
679
680 old_n_div = isl_local_space_dim(aff->ls, isl_dim_div);
681 new_n_div = isl_mat_rows(div);
682 if (new_n_div < old_n_div)
683 isl_die(isl_mat_get_ctx(div), isl_error_invalid,
684 "not an expansion", goto error);
685
686 aff->v = isl_vec_extend(aff->v, aff->v->size + new_n_div - old_n_div);
687 if (!aff->v)
688 goto error;
689
690 offset = 1 + isl_local_space_offset(aff->ls, isl_dim_div);
691 j = old_n_div - 1;
692 for (i = new_n_div - 1; i >= 0; --i) {
693 if (j >= 0 && exp[j] == i) {
694 if (i != j)
695 isl_int_swap(aff->v->el[offset + i],
696 aff->v->el[offset + j]);
697 j--;
698 } else
699 isl_int_set_si(aff->v->el[offset + i], 0);
700 }
701
702 aff->ls = isl_local_space_replace_divs(aff->ls, isl_mat_copy(div));
703 if (!aff->ls)
704 goto error;
705 isl_mat_free(div);
706 return aff;
707 error:
708 isl_aff_free(aff);
709 isl_mat_free(div);
710 return NULL;
711 }
712
713 /* Add two affine expressions that live in the same local space.
714 */
715 static __isl_give isl_aff *add_expanded(__isl_take isl_aff *aff1,
716 __isl_take isl_aff *aff2)
717 {
718 isl_int gcd, f;
719
720 aff1 = isl_aff_cow(aff1);
721 if (!aff1 || !aff2)
722 goto error;
723
724 aff1->v = isl_vec_cow(aff1->v);
725 if (!aff1->v)
726 goto error;
727
728 isl_int_init(gcd);
729 isl_int_init(f);
730 isl_int_gcd(gcd, aff1->v->el[0], aff2->v->el[0]);
731 isl_int_divexact(f, aff2->v->el[0], gcd);
732 isl_seq_scale(aff1->v->el + 1, aff1->v->el + 1, f, aff1->v->size - 1);
733 isl_int_divexact(f, aff1->v->el[0], gcd);
734 isl_seq_addmul(aff1->v->el + 1, f, aff2->v->el + 1, aff1->v->size - 1);
735 isl_int_divexact(f, aff2->v->el[0], gcd);
736 isl_int_mul(aff1->v->el[0], aff1->v->el[0], f);
737 isl_int_clear(f);
738 isl_int_clear(gcd);
739
740 isl_aff_free(aff2);
741 return aff1;
742 error:
743 isl_aff_free(aff1);
744 isl_aff_free(aff2);
745 return NULL;
746 }
747
748 __isl_give isl_aff *isl_aff_add(__isl_take isl_aff *aff1,
749 __isl_take isl_aff *aff2)
750 {
751 isl_ctx *ctx;
752 int *exp1 = NULL;
753 int *exp2 = NULL;
754 isl_mat *div;
755
756 if (!aff1 || !aff2)
757 goto error;
758
759 ctx = isl_aff_get_ctx(aff1);
760 if (!isl_space_is_equal(aff1->ls->dim, aff2->ls->dim))
761 isl_die(ctx, isl_error_invalid,
762 "spaces don't match", goto error);
763
764 if (aff1->ls->div->n_row == 0 && aff2->ls->div->n_row == 0)
765 return add_expanded(aff1, aff2);
766
767 exp1 = isl_alloc_array(ctx, int, aff1->ls->div->n_row);
768 exp2 = isl_alloc_array(ctx, int, aff2->ls->div->n_row);
769 if (!exp1 || !exp2)
770 goto error;
771
772 div = isl_merge_divs(aff1->ls->div, aff2->ls->div, exp1, exp2);
773 aff1 = isl_aff_expand_divs(aff1, isl_mat_copy(div), exp1);
774 aff2 = isl_aff_expand_divs(aff2, div, exp2);
775 free(exp1);
776 free(exp2);
777
778 return add_expanded(aff1, aff2);
779 error:
780 free(exp1);
781 free(exp2);
782 isl_aff_free(aff1);
783 isl_aff_free(aff2);
784 return NULL;
785 }
786
787 __isl_give isl_aff *isl_aff_sub(__isl_take isl_aff *aff1,
788 __isl_take isl_aff *aff2)
789 {
790 return isl_aff_add(aff1, isl_aff_neg(aff2));
791 }
792
793 __isl_give isl_aff *isl_aff_scale(__isl_take isl_aff *aff, isl_int f)
794 {
795 isl_int gcd;
796
797 if (isl_int_is_one(f))
798 return aff;
799
800 aff = isl_aff_cow(aff);
801 if (!aff)
802 return NULL;
803 aff->v = isl_vec_cow(aff->v);
804 if (!aff->v)
805 return isl_aff_free(aff);
806
807 isl_int_init(gcd);
808 isl_int_gcd(gcd, aff->v->el[0], f);
809 isl_int_divexact(aff->v->el[0], aff->v->el[0], gcd);
810 isl_int_divexact(gcd, f, gcd);
811 isl_seq_scale(aff->v->el + 1, aff->v->el + 1, gcd, aff->v->size - 1);
812 isl_int_clear(gcd);
813
814 return aff;
815 }
816
817 __isl_give isl_aff *isl_aff_scale_down(__isl_take isl_aff *aff, isl_int f)
818 {
819 isl_int gcd;
820
821 if (isl_int_is_one(f))
822 return aff;
823
824 aff = isl_aff_cow(aff);
825 if (!aff)
826 return NULL;
827 aff->v = isl_vec_cow(aff->v);
828 if (!aff->v)
829 return isl_aff_free(aff);
830
831 isl_int_init(gcd);
832 isl_seq_gcd(aff->v->el + 1, aff->v->size - 1, &gcd);
833 isl_int_gcd(gcd, gcd, f);
834 isl_seq_scale_down(aff->v->el + 1, aff->v->el + 1, gcd, aff->v->size - 1);
835 isl_int_divexact(gcd, f, gcd);
836 isl_int_mul(aff->v->el[0], aff->v->el[0], gcd);
837 isl_int_clear(gcd);
838
839 return aff;
840 }
841
842 __isl_give isl_aff *isl_aff_scale_down_ui(__isl_take isl_aff *aff, unsigned f)
843 {
844 isl_int v;
845
846 if (f == 1)
847 return aff;
848
849 isl_int_init(v);
850 isl_int_set_ui(v, f);
851 aff = isl_aff_scale_down(aff, v);
852 isl_int_clear(v);
853
854 return aff;
855 }
856
857 __isl_give isl_aff *isl_aff_set_dim_name(__isl_take isl_aff *aff,
858 enum isl_dim_type type, unsigned pos, const char *s)
859 {
860 aff = isl_aff_cow(aff);
861 if (!aff)
862 return NULL;
863 if (type == isl_dim_out)
864 isl_die(aff->v->ctx, isl_error_invalid,
865 "cannot set name of output/set dimension",
866 return isl_aff_free(aff));
867 if (type == isl_dim_in)
868 type = isl_dim_set;
869 aff->ls = isl_local_space_set_dim_name(aff->ls, type, pos, s);
870 if (!aff->ls)
871 return isl_aff_free(aff);
872
873 return aff;
874 }
875
876 __isl_give isl_aff *isl_aff_set_dim_id(__isl_take isl_aff *aff,
877 enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
878 {
879 aff = isl_aff_cow(aff);
880 if (!aff)
881 return isl_id_free(id);
882 if (type == isl_dim_out)
883 isl_die(aff->v->ctx, isl_error_invalid,
884 "cannot set name of output/set dimension",
885 goto error);
886 if (type == isl_dim_in)
887 type = isl_dim_set;
888 aff->ls = isl_local_space_set_dim_id(aff->ls, type, pos, id);
889 if (!aff->ls)
890 return isl_aff_free(aff);
891
892 return aff;
893 error:
894 isl_id_free(id);
895 isl_aff_free(aff);
896 return NULL;
897 }
898
899 /* Exploit the equalities in "eq" to simplify the affine expression
900 * and the expressions of the integer divisions in the local space.
901 * The integer divisions in this local space are assumed to appear
902 * as regular dimensions in "eq".
903 */
904 static __isl_give isl_aff *isl_aff_substitute_equalities_lifted(
905 __isl_take isl_aff *aff, __isl_take isl_basic_set *eq)
906 {
907 int i, j;
908 unsigned total;
909 unsigned n_div;
910
911 if (!eq)
912 goto error;
913 if (eq->n_eq == 0) {
914 isl_basic_set_free(eq);
915 return aff;
916 }
917
918 aff = isl_aff_cow(aff);
919 if (!aff)
920 goto error;
921
922 aff->ls = isl_local_space_substitute_equalities(aff->ls,
923 isl_basic_set_copy(eq));
924 if (!aff->ls)
925 goto error;
926
927 total = 1 + isl_space_dim(eq->dim, isl_dim_all);
928 n_div = eq->n_div;
929 for (i = 0; i < eq->n_eq; ++i) {
930 j = isl_seq_last_non_zero(eq->eq[i], total + n_div);
931 if (j < 0 || j == 0 || j >= total)
932 continue;
933
934 isl_seq_elim(aff->v->el + 1, eq->eq[i], j, total,
935 &aff->v->el[0]);
936 }
937
938 isl_basic_set_free(eq);
939 return aff;
940 error:
941 isl_basic_set_free(eq);
942 isl_aff_free(aff);
943 return NULL;
944 }
945
946 /* Exploit the equalities in "eq" to simplify the affine expression
947 * and the expressions of the integer divisions in the local space.
948 */
949 static __isl_give isl_aff *isl_aff_substitute_equalities(
950 __isl_take isl_aff *aff, __isl_take isl_basic_set *eq)
951 {
952 int n_div;
953
954 if (!aff || !eq)
955 goto error;
956 n_div = isl_local_space_dim(aff->ls, isl_dim_div);
957 if (n_div > 0)
958 eq = isl_basic_set_add(eq, isl_dim_set, n_div);
959 return isl_aff_substitute_equalities_lifted(aff, eq);
960 error:
961 isl_basic_set_free(eq);
962 isl_aff_free(aff);
963 return NULL;
964 }
965
966 /* Look for equalities among the variables shared by context and aff
967 * and the integer divisions of aff, if any.
968 * The equalities are then used to eliminate coefficients and/or integer
969 * divisions from aff.
970 */
971 __isl_give isl_aff *isl_aff_gist(__isl_take isl_aff *aff,
972 __isl_take isl_set *context)
973 {
974 isl_basic_set *hull;
975 int n_div;
976
977 if (!aff)
978 goto error;
979 n_div = isl_local_space_dim(aff->ls, isl_dim_div);
980 if (n_div > 0) {
981 isl_basic_set *bset;
982 isl_local_space *ls;
983 context = isl_set_add_dims(context, isl_dim_set, n_div);
984 ls = isl_aff_get_domain_local_space(aff);
985 bset = isl_basic_set_from_local_space(ls);
986 bset = isl_basic_set_lift(bset);
987 bset = isl_basic_set_flatten(bset);
988 context = isl_set_intersect(context,
989 isl_set_from_basic_set(bset));
990 }
991
992 hull = isl_set_affine_hull(context);
993 return isl_aff_substitute_equalities_lifted(aff, hull);
994 error:
995 isl_aff_free(aff);
996 isl_set_free(context);
997 return NULL;
998 }
999
1000 __isl_give isl_aff *isl_aff_gist_params(__isl_take isl_aff *aff,
1001 __isl_take isl_set *context)
1002 {
1003 isl_set *dom_context = isl_set_universe(isl_aff_get_domain_space(aff));
1004 dom_context = isl_set_intersect_params(dom_context, context);
1005 return isl_aff_gist(aff, dom_context);
1006 }
1007
1008 /* Return a basic set containing those elements in the space
1009 * of aff where it is non-negative.
1010 */
1011 __isl_give isl_basic_set *isl_aff_nonneg_basic_set(__isl_take isl_aff *aff)
1012 {
1013 isl_constraint *ineq;
1014
1015 ineq = isl_inequality_from_aff(aff);
1016
1017 return isl_basic_set_from_constraint(ineq);
1018 }
1019
1020 /* Return a basic set containing those elements in the space
1021 * of aff where it is zero.
1022 */
1023 __isl_give isl_basic_set *isl_aff_zero_basic_set(__isl_take isl_aff *aff)
1024 {
1025 isl_constraint *ineq;
1026
1027 ineq = isl_equality_from_aff(aff);
1028
1029 return isl_basic_set_from_constraint(ineq);
1030 }
1031
1032 /* Return a basic set containing those elements in the shared space
1033 * of aff1 and aff2 where aff1 is greater than or equal to aff2.
1034 */
1035 __isl_give isl_basic_set *isl_aff_ge_basic_set(__isl_take isl_aff *aff1,
1036 __isl_take isl_aff *aff2)
1037 {
1038 aff1 = isl_aff_sub(aff1, aff2);
1039
1040 return isl_aff_nonneg_basic_set(aff1);
1041 }
1042
1043 /* Return a basic set containing those elements in the shared space
1044 * of aff1 and aff2 where aff1 is smaller than or equal to aff2.
1045 */
1046 __isl_give isl_basic_set *isl_aff_le_basic_set(__isl_take isl_aff *aff1,
1047 __isl_take isl_aff *aff2)
1048 {
1049 return isl_aff_ge_basic_set(aff2, aff1);
1050 }
1051
1052 __isl_give isl_aff *isl_aff_add_on_domain(__isl_keep isl_set *dom,
1053 __isl_take isl_aff *aff1, __isl_take isl_aff *aff2)
1054 {
1055 aff1 = isl_aff_add(aff1, aff2);
1056 aff1 = isl_aff_gist(aff1, isl_set_copy(dom));
1057 return aff1;
1058 }
1059
1060 int isl_aff_is_empty(__isl_keep isl_aff *aff)
1061 {
1062 if (!aff)
1063 return -1;
1064
1065 return 0;
1066 }
1067
1068 /* Check whether the given affine expression has non-zero coefficient
1069 * for any dimension in the given range or if any of these dimensions
1070 * appear with non-zero coefficients in any of the integer divisions
1071 * involved in the affine expression.
1072 */
1073 int isl_aff_involves_dims(__isl_keep isl_aff *aff,
1074 enum isl_dim_type type, unsigned first, unsigned n)
1075 {
1076 int i;
1077 isl_ctx *ctx;
1078 int *active = NULL;
1079 int involves = 0;
1080
1081 if (!aff)
1082 return -1;
1083 if (n == 0)
1084 return 0;
1085
1086 ctx = isl_aff_get_ctx(aff);
1087 if (first + n > isl_aff_dim(aff, type))
1088 isl_die(ctx, isl_error_invalid,
1089 "range out of bounds", return -1);
1090
1091 active = isl_local_space_get_active(aff->ls, aff->v->el + 2);
1092 if (!active)
1093 goto error;
1094
1095 first += isl_local_space_offset(aff->ls, type) - 1;
1096 for (i = 0; i < n; ++i)
1097 if (active[first + i]) {
1098 involves = 1;
1099 break;
1100 }
1101
1102 free(active);
1103
1104 return involves;
1105 error:
1106 free(active);
1107 return -1;
1108 }
1109
1110 __isl_give isl_aff *isl_aff_drop_dims(__isl_take isl_aff *aff,
1111 enum isl_dim_type type, unsigned first, unsigned n)
1112 {
1113 isl_ctx *ctx;
1114
1115 if (!aff)
1116 return NULL;
1117 if (type == isl_dim_out)
1118 isl_die(aff->v->ctx, isl_error_invalid,
1119 "cannot drop output/set dimension",
1120 return isl_aff_free(aff));
1121 if (type == isl_dim_in)
1122 type = isl_dim_set;
1123 if (n == 0 && !isl_local_space_is_named_or_nested(aff->ls, type))
1124 return aff;
1125
1126 ctx = isl_aff_get_ctx(aff);
1127 if (first + n > isl_local_space_dim(aff->ls, type))
1128 isl_die(ctx, isl_error_invalid, "range out of bounds",
1129 return isl_aff_free(aff));
1130
1131 aff = isl_aff_cow(aff);
1132 if (!aff)
1133 return NULL;
1134
1135 aff->ls = isl_local_space_drop_dims(aff->ls, type, first, n);
1136 if (!aff->ls)
1137 return isl_aff_free(aff);
1138
1139 first += 1 + isl_local_space_offset(aff->ls, type);
1140 aff->v = isl_vec_drop_els(aff->v, first, n);
1141 if (!aff->v)
1142 return isl_aff_free(aff);
1143
1144 return aff;
1145 }
1146
1147 __isl_give isl_aff *isl_aff_insert_dims(__isl_take isl_aff *aff,
1148 enum isl_dim_type type, unsigned first, unsigned n)
1149 {
1150 isl_ctx *ctx;
1151
1152 if (!aff)
1153 return NULL;
1154 if (type == isl_dim_out)
1155 isl_die(aff->v->ctx, isl_error_invalid,
1156 "cannot insert output/set dimensions",
1157 return isl_aff_free(aff));
1158 if (type == isl_dim_in)
1159 type = isl_dim_set;
1160 if (n == 0 && !isl_local_space_is_named_or_nested(aff->ls, type))
1161 return aff;
1162
1163 ctx = isl_aff_get_ctx(aff);
1164 if (first > isl_local_space_dim(aff->ls, type))
1165 isl_die(ctx, isl_error_invalid, "position out of bounds",
1166 return isl_aff_free(aff));
1167
1168 aff = isl_aff_cow(aff);
1169 if (!aff)
1170 return NULL;
1171
1172 aff->ls = isl_local_space_insert_dims(aff->ls, type, first, n);
1173 if (!aff->ls)
1174 return isl_aff_free(aff);
1175
1176 first += 1 + isl_local_space_offset(aff->ls, type);
1177 aff->v = isl_vec_insert_zero_els(aff->v, first, n);
1178 if (!aff->v)
1179 return isl_aff_free(aff);
1180
1181 return aff;
1182 }
1183
1184 __isl_give isl_aff *isl_aff_add_dims(__isl_take isl_aff *aff,
1185 enum isl_dim_type type, unsigned n)
1186 {
1187 unsigned pos;
1188
1189 pos = isl_aff_dim(aff, type);
1190
1191 return isl_aff_insert_dims(aff, type, pos, n);
1192 }
1193
1194 __isl_give isl_pw_aff *isl_pw_aff_add_dims(__isl_take isl_pw_aff *pwaff,
1195 enum isl_dim_type type, unsigned n)
1196 {
1197 unsigned pos;
1198
1199 pos = isl_pw_aff_dim(pwaff, type);
1200
1201 return isl_pw_aff_insert_dims(pwaff, type, pos, n);
1202 }
1203
1204 __isl_give isl_pw_aff *isl_pw_aff_from_aff(__isl_take isl_aff *aff)
1205 {
1206 isl_set *dom = isl_set_universe(isl_aff_get_domain_space(aff));
1207 return isl_pw_aff_alloc(dom, aff);
1208 }
1209
1210 #undef PW
1211 #define PW isl_pw_aff
1212 #undef EL
1213 #define EL isl_aff
1214 #undef EL_IS_ZERO
1215 #define EL_IS_ZERO is_empty
1216 #undef ZERO
1217 #define ZERO empty
1218 #undef IS_ZERO
1219 #define IS_ZERO is_empty
1220 #undef FIELD
1221 #define FIELD aff
1222
1223 #define NO_EVAL
1224 #define NO_OPT
1225 #define NO_MOVE_DIMS
1226 #define NO_LIFT
1227 #define NO_MORPH
1228
1229 #include <isl_pw_templ.c>
1230
1231 static __isl_give isl_set *align_params_pw_pw_set_and(
1232 __isl_take isl_pw_aff *pwaff1, __isl_take isl_pw_aff *pwaff2,
1233 __isl_give isl_set *(*fn)(__isl_take isl_pw_aff *pwaff1,
1234 __isl_take isl_pw_aff *pwaff2))
1235 {
1236 if (!pwaff1 || !pwaff2)
1237 goto error;
1238 if (isl_space_match(pwaff1->dim, isl_dim_param,
1239 pwaff2->dim, isl_dim_param))
1240 return fn(pwaff1, pwaff2);
1241 if (!isl_space_has_named_params(pwaff1->dim) ||
1242 !isl_space_has_named_params(pwaff2->dim))
1243 isl_die(isl_pw_aff_get_ctx(pwaff1), isl_error_invalid,
1244 "unaligned unnamed parameters", goto error);
1245 pwaff1 = isl_pw_aff_align_params(pwaff1, isl_pw_aff_get_space(pwaff2));
1246 pwaff2 = isl_pw_aff_align_params(pwaff2, isl_pw_aff_get_space(pwaff1));
1247 return fn(pwaff1, pwaff2);
1248 error:
1249 isl_pw_aff_free(pwaff1);
1250 isl_pw_aff_free(pwaff2);
1251 return NULL;
1252 }
1253
1254 /* Compute a piecewise quasi-affine expression with a domain that
1255 * is the union of those of pwaff1 and pwaff2 and such that on each
1256 * cell, the quasi-affine expression is the better (according to cmp)
1257 * of those of pwaff1 and pwaff2. If only one of pwaff1 or pwaff2
1258 * is defined on a given cell, then the associated expression
1259 * is the defined one.
1260 */
1261 static __isl_give isl_pw_aff *pw_aff_union_opt(__isl_take isl_pw_aff *pwaff1,
1262 __isl_take isl_pw_aff *pwaff2,
1263 __isl_give isl_basic_set *(*cmp)(__isl_take isl_aff *aff1,
1264 __isl_take isl_aff *aff2))
1265 {
1266 int i, j, n;
1267 isl_pw_aff *res;
1268 isl_ctx *ctx;
1269 isl_set *set;
1270
1271 if (!pwaff1 || !pwaff2)
1272 goto error;
1273
1274 ctx = isl_space_get_ctx(pwaff1->dim);
1275 if (!isl_space_is_equal(pwaff1->dim, pwaff2->dim))
1276 isl_die(ctx, isl_error_invalid,
1277 "arguments should live in same space", goto error);
1278
1279 if (isl_pw_aff_is_empty(pwaff1)) {
1280 isl_pw_aff_free(pwaff1);
1281 return pwaff2;
1282 }
1283
1284 if (isl_pw_aff_is_empty(pwaff2)) {
1285 isl_pw_aff_free(pwaff2);
1286 return pwaff1;
1287 }
1288
1289 n = 2 * (pwaff1->n + 1) * (pwaff2->n + 1);
1290 res = isl_pw_aff_alloc_size(isl_space_copy(pwaff1->dim), n);
1291
1292 for (i = 0; i < pwaff1->n; ++i) {
1293 set = isl_set_copy(pwaff1->p[i].set);
1294 for (j = 0; j < pwaff2->n; ++j) {
1295 struct isl_set *common;
1296 isl_set *better;
1297
1298 common = isl_set_intersect(
1299 isl_set_copy(pwaff1->p[i].set),
1300 isl_set_copy(pwaff2->p[j].set));
1301 better = isl_set_from_basic_set(cmp(
1302 isl_aff_copy(pwaff2->p[j].aff),
1303 isl_aff_copy(pwaff1->p[i].aff)));
1304 better = isl_set_intersect(common, better);
1305 if (isl_set_plain_is_empty(better)) {
1306 isl_set_free(better);
1307 continue;
1308 }
1309 set = isl_set_subtract(set, isl_set_copy(better));
1310
1311 res = isl_pw_aff_add_piece(res, better,
1312 isl_aff_copy(pwaff2->p[j].aff));
1313 }
1314 res = isl_pw_aff_add_piece(res, set,
1315 isl_aff_copy(pwaff1->p[i].aff));
1316 }
1317
1318 for (j = 0; j < pwaff2->n; ++j) {
1319 set = isl_set_copy(pwaff2->p[j].set);
1320 for (i = 0; i < pwaff1->n; ++i)
1321 set = isl_set_subtract(set,
1322 isl_set_copy(pwaff1->p[i].set));
1323 res = isl_pw_aff_add_piece(res, set,
1324 isl_aff_copy(pwaff2->p[j].aff));
1325 }
1326
1327 isl_pw_aff_free(pwaff1);
1328 isl_pw_aff_free(pwaff2);
1329
1330 return res;
1331 error:
1332 isl_pw_aff_free(pwaff1);
1333 isl_pw_aff_free(pwaff2);
1334 return NULL;
1335 }
1336
1337 /* Compute a piecewise quasi-affine expression with a domain that
1338 * is the union of those of pwaff1 and pwaff2 and such that on each
1339 * cell, the quasi-affine expression is the maximum of those of pwaff1
1340 * and pwaff2. If only one of pwaff1 or pwaff2 is defined on a given
1341 * cell, then the associated expression is the defined one.
1342 */
1343 static __isl_give isl_pw_aff *pw_aff_union_max(__isl_take isl_pw_aff *pwaff1,
1344 __isl_take isl_pw_aff *pwaff2)
1345 {
1346 return pw_aff_union_opt(pwaff1, pwaff2, &isl_aff_ge_basic_set);
1347 }
1348
1349 __isl_give isl_pw_aff *isl_pw_aff_union_max(__isl_take isl_pw_aff *pwaff1,
1350 __isl_take isl_pw_aff *pwaff2)
1351 {
1352 return isl_pw_aff_align_params_pw_pw_and(pwaff1, pwaff2,
1353 &pw_aff_union_max);
1354 }
1355
1356 /* Compute a piecewise quasi-affine expression with a domain that
1357 * is the union of those of pwaff1 and pwaff2 and such that on each
1358 * cell, the quasi-affine expression is the minimum of those of pwaff1
1359 * and pwaff2. If only one of pwaff1 or pwaff2 is defined on a given
1360 * cell, then the associated expression is the defined one.
1361 */
1362 static __isl_give isl_pw_aff *pw_aff_union_min(__isl_take isl_pw_aff *pwaff1,
1363 __isl_take isl_pw_aff *pwaff2)
1364 {
1365 return pw_aff_union_opt(pwaff1, pwaff2, &isl_aff_le_basic_set);
1366 }
1367
1368 __isl_give isl_pw_aff *isl_pw_aff_union_min(__isl_take isl_pw_aff *pwaff1,
1369 __isl_take isl_pw_aff *pwaff2)
1370 {
1371 return isl_pw_aff_align_params_pw_pw_and(pwaff1, pwaff2,
1372 &pw_aff_union_min);
1373 }
1374
1375 __isl_give isl_pw_aff *isl_pw_aff_union_opt(__isl_take isl_pw_aff *pwaff1,
1376 __isl_take isl_pw_aff *pwaff2, int max)
1377 {
1378 if (max)
1379 return isl_pw_aff_union_max(pwaff1, pwaff2);
1380 else
1381 return isl_pw_aff_union_min(pwaff1, pwaff2);
1382 }
1383
1384 /* Construct a map with as domain the domain of pwaff and
1385 * one-dimensional range corresponding to the affine expressions.
1386 */
1387 static __isl_give isl_map *map_from_pw_aff(__isl_take isl_pw_aff *pwaff)
1388 {
1389 int i;
1390 isl_space *dim;
1391 isl_map *map;
1392
1393 if (!pwaff)
1394 return NULL;
1395
1396 dim = isl_pw_aff_get_space(pwaff);
1397 map = isl_map_empty(dim);
1398
1399 for (i = 0; i < pwaff->n; ++i) {
1400 isl_basic_map *bmap;
1401 isl_map *map_i;
1402
1403 bmap = isl_basic_map_from_aff(isl_aff_copy(pwaff->p[i].aff));
1404 map_i = isl_map_from_basic_map(bmap);
1405 map_i = isl_map_intersect_domain(map_i,
1406 isl_set_copy(pwaff->p[i].set));
1407 map = isl_map_union_disjoint(map, map_i);
1408 }
1409
1410 isl_pw_aff_free(pwaff);
1411
1412 return map;
1413 }
1414
1415 /* Construct a map with as domain the domain of pwaff and
1416 * one-dimensional range corresponding to the affine expressions.
1417 */
1418 __isl_give isl_map *isl_map_from_pw_aff(__isl_take isl_pw_aff *pwaff)
1419 {
1420 if (isl_space_is_set(pwaff->dim))
1421 isl_die(isl_pw_aff_get_ctx(pwaff), isl_error_invalid,
1422 "space of input is not a map",
1423 return isl_pw_aff_free(pwaff));
1424 return map_from_pw_aff(pwaff);
1425 }
1426
1427 /* Construct a one-dimensional set with as parameter domain
1428 * the domain of pwaff and the single set dimension
1429 * corresponding to the affine expressions.
1430 */
1431 __isl_give isl_set *isl_set_from_pw_aff(__isl_take isl_pw_aff *pwaff)
1432 {
1433 if (!isl_space_is_set(pwaff->dim))
1434 isl_die(isl_pw_aff_get_ctx(pwaff), isl_error_invalid,
1435 "space of input is not a set",
1436 return isl_pw_aff_free(pwaff));
1437 return map_from_pw_aff(pwaff);
1438 }
1439
1440 /* Return a set containing those elements in the domain
1441 * of pwaff where it is non-negative.
1442 */
1443 __isl_give isl_set *isl_pw_aff_nonneg_set(__isl_take isl_pw_aff *pwaff)
1444 {
1445 int i;
1446 isl_set *set;
1447
1448 if (!pwaff)
1449 return NULL;
1450
1451 set = isl_set_empty(isl_pw_aff_get_domain_space(pwaff));
1452
1453 for (i = 0; i < pwaff->n; ++i) {
1454 isl_basic_set *bset;
1455 isl_set *set_i;
1456
1457 bset = isl_aff_nonneg_basic_set(isl_aff_copy(pwaff->p[i].aff));
1458 set_i = isl_set_from_basic_set(bset);
1459 set_i = isl_set_intersect(set_i, isl_set_copy(pwaff->p[i].set));
1460 set = isl_set_union_disjoint(set, set_i);
1461 }
1462
1463 isl_pw_aff_free(pwaff);
1464
1465 return set;
1466 }
1467
1468 /* Return a set containing those elements in the domain
1469 * of pwaff where it is zero.
1470 */
1471 __isl_give isl_set *isl_pw_aff_zero_set(__isl_take isl_pw_aff *pwaff)
1472 {
1473 int i;
1474 isl_set *set;
1475
1476 if (!pwaff)
1477 return NULL;
1478
1479 set = isl_set_empty(isl_pw_aff_get_domain_space(pwaff));
1480
1481 for (i = 0; i < pwaff->n; ++i) {
1482 isl_basic_set *bset;
1483 isl_set *set_i;
1484
1485 bset = isl_aff_zero_basic_set(isl_aff_copy(pwaff->p[i].aff));
1486 set_i = isl_set_from_basic_set(bset);
1487 set_i = isl_set_intersect(set_i, isl_set_copy(pwaff->p[i].set));
1488 set = isl_set_union_disjoint(set, set_i);
1489 }
1490
1491 isl_pw_aff_free(pwaff);
1492
1493 return set;
1494 }
1495
1496 /* Return a set containing those elements in the domain
1497 * of pwaff where it is not zero.
1498 */
1499 __isl_give isl_set *isl_pw_aff_non_zero_set(__isl_take isl_pw_aff *pwaff)
1500 {
1501 return isl_set_complement(isl_pw_aff_zero_set(pwaff));
1502 }
1503
1504 /* Return a set containing those elements in the shared domain
1505 * of pwaff1 and pwaff2 where pwaff1 is greater than (or equal) to pwaff2.
1506 *
1507 * We compute the difference on the shared domain and then construct
1508 * the set of values where this difference is non-negative.
1509 * If strict is set, we first subtract 1 from the difference.
1510 * If equal is set, we only return the elements where pwaff1 and pwaff2
1511 * are equal.
1512 */
1513 static __isl_give isl_set *pw_aff_gte_set(__isl_take isl_pw_aff *pwaff1,
1514 __isl_take isl_pw_aff *pwaff2, int strict, int equal)
1515 {
1516 isl_set *set1, *set2;
1517
1518 set1 = isl_pw_aff_domain(isl_pw_aff_copy(pwaff1));
1519 set2 = isl_pw_aff_domain(isl_pw_aff_copy(pwaff2));
1520 set1 = isl_set_intersect(set1, set2);
1521 pwaff1 = isl_pw_aff_intersect_domain(pwaff1, isl_set_copy(set1));
1522 pwaff2 = isl_pw_aff_intersect_domain(pwaff2, isl_set_copy(set1));
1523 pwaff1 = isl_pw_aff_add(pwaff1, isl_pw_aff_neg(pwaff2));
1524
1525 if (strict) {
1526 isl_space *dim = isl_set_get_space(set1);
1527 isl_aff *aff;
1528 aff = isl_aff_zero_on_domain(isl_local_space_from_space(dim));
1529 aff = isl_aff_add_constant_si(aff, -1);
1530 pwaff1 = isl_pw_aff_add(pwaff1, isl_pw_aff_alloc(set1, aff));
1531 } else
1532 isl_set_free(set1);
1533
1534 if (equal)
1535 return isl_pw_aff_zero_set(pwaff1);
1536 return isl_pw_aff_nonneg_set(pwaff1);
1537 }
1538
1539 /* Return a set containing those elements in the shared domain
1540 * of pwaff1 and pwaff2 where pwaff1 is equal to pwaff2.
1541 */
1542 static __isl_give isl_set *pw_aff_eq_set(__isl_take isl_pw_aff *pwaff1,
1543 __isl_take isl_pw_aff *pwaff2)
1544 {
1545 return pw_aff_gte_set(pwaff1, pwaff2, 0, 1);
1546 }
1547
1548 __isl_give isl_set *isl_pw_aff_eq_set(__isl_take isl_pw_aff *pwaff1,
1549 __isl_take isl_pw_aff *pwaff2)
1550 {
1551 return align_params_pw_pw_set_and(pwaff1, pwaff2, &pw_aff_eq_set);
1552 }
1553
1554 /* Return a set containing those elements in the shared domain
1555 * of pwaff1 and pwaff2 where pwaff1 is greater than or equal to pwaff2.
1556 */
1557 static __isl_give isl_set *pw_aff_ge_set(__isl_take isl_pw_aff *pwaff1,
1558 __isl_take isl_pw_aff *pwaff2)
1559 {
1560 return pw_aff_gte_set(pwaff1, pwaff2, 0, 0);
1561 }
1562
1563 __isl_give isl_set *isl_pw_aff_ge_set(__isl_take isl_pw_aff *pwaff1,
1564 __isl_take isl_pw_aff *pwaff2)
1565 {
1566 return align_params_pw_pw_set_and(pwaff1, pwaff2, &pw_aff_ge_set);
1567 }
1568
1569 /* Return a set containing those elements in the shared domain
1570 * of pwaff1 and pwaff2 where pwaff1 is strictly greater than pwaff2.
1571 */
1572 static __isl_give isl_set *pw_aff_gt_set(__isl_take isl_pw_aff *pwaff1,
1573 __isl_take isl_pw_aff *pwaff2)
1574 {
1575 return pw_aff_gte_set(pwaff1, pwaff2, 1, 0);
1576 }
1577
1578 __isl_give isl_set *isl_pw_aff_gt_set(__isl_take isl_pw_aff *pwaff1,
1579 __isl_take isl_pw_aff *pwaff2)
1580 {
1581 return align_params_pw_pw_set_and(pwaff1, pwaff2, &pw_aff_gt_set);
1582 }
1583
1584 __isl_give isl_set *isl_pw_aff_le_set(__isl_take isl_pw_aff *pwaff1,
1585 __isl_take isl_pw_aff *pwaff2)
1586 {
1587 return isl_pw_aff_ge_set(pwaff2, pwaff1);
1588 }
1589
1590 __isl_give isl_set *isl_pw_aff_lt_set(__isl_take isl_pw_aff *pwaff1,
1591 __isl_take isl_pw_aff *pwaff2)
1592 {
1593 return isl_pw_aff_gt_set(pwaff2, pwaff1);
1594 }
1595
1596 /* Return a set containing those elements in the shared domain
1597 * of the elements of list1 and list2 where each element in list1
1598 * has the relation specified by "fn" with each element in list2.
1599 */
1600 static __isl_give isl_set *pw_aff_list_set(__isl_take isl_pw_aff_list *list1,
1601 __isl_take isl_pw_aff_list *list2,
1602 __isl_give isl_set *(*fn)(__isl_take isl_pw_aff *pwaff1,
1603 __isl_take isl_pw_aff *pwaff2))
1604 {
1605 int i, j;
1606 isl_ctx *ctx;
1607 isl_set *set;
1608
1609 if (!list1 || !list2)
1610 goto error;
1611
1612 ctx = isl_pw_aff_list_get_ctx(list1);
1613 if (list1->n < 1 || list2->n < 1)
1614 isl_die(ctx, isl_error_invalid,
1615 "list should contain at least one element", goto error);
1616
1617 set = isl_set_universe(isl_pw_aff_get_domain_space(list1->p[0]));
1618 for (i = 0; i < list1->n; ++i)
1619 for (j = 0; j < list2->n; ++j) {
1620 isl_set *set_ij;
1621
1622 set_ij = fn(isl_pw_aff_copy(list1->p[i]),
1623 isl_pw_aff_copy(list2->p[j]));
1624 set = isl_set_intersect(set, set_ij);
1625 }
1626
1627 isl_pw_aff_list_free(list1);
1628 isl_pw_aff_list_free(list2);
1629 return set;
1630 error:
1631 isl_pw_aff_list_free(list1);
1632 isl_pw_aff_list_free(list2);
1633 return NULL;
1634 }
1635
1636 /* Return a set containing those elements in the shared domain
1637 * of the elements of list1 and list2 where each element in list1
1638 * is equal to each element in list2.
1639 */
1640 __isl_give isl_set *isl_pw_aff_list_eq_set(__isl_take isl_pw_aff_list *list1,
1641 __isl_take isl_pw_aff_list *list2)
1642 {
1643 return pw_aff_list_set(list1, list2, &isl_pw_aff_eq_set);
1644 }
1645
1646 __isl_give isl_set *isl_pw_aff_list_ne_set(__isl_take isl_pw_aff_list *list1,
1647 __isl_take isl_pw_aff_list *list2)
1648 {
1649 return pw_aff_list_set(list1, list2, &isl_pw_aff_ne_set);
1650 }
1651
1652 /* Return a set containing those elements in the shared domain
1653 * of the elements of list1 and list2 where each element in list1
1654 * is less than or equal to each element in list2.
1655 */
1656 __isl_give isl_set *isl_pw_aff_list_le_set(__isl_take isl_pw_aff_list *list1,
1657 __isl_take isl_pw_aff_list *list2)
1658 {
1659 return pw_aff_list_set(list1, list2, &isl_pw_aff_le_set);
1660 }
1661
1662 __isl_give isl_set *isl_pw_aff_list_lt_set(__isl_take isl_pw_aff_list *list1,
1663 __isl_take isl_pw_aff_list *list2)
1664 {
1665 return pw_aff_list_set(list1, list2, &isl_pw_aff_lt_set);
1666 }
1667
1668 __isl_give isl_set *isl_pw_aff_list_ge_set(__isl_take isl_pw_aff_list *list1,
1669 __isl_take isl_pw_aff_list *list2)
1670 {
1671 return pw_aff_list_set(list1, list2, &isl_pw_aff_ge_set);
1672 }
1673
1674 __isl_give isl_set *isl_pw_aff_list_gt_set(__isl_take isl_pw_aff_list *list1,
1675 __isl_take isl_pw_aff_list *list2)
1676 {
1677 return pw_aff_list_set(list1, list2, &isl_pw_aff_gt_set);
1678 }
1679
1680
1681 /* Return a set containing those elements in the shared domain
1682 * of pwaff1 and pwaff2 where pwaff1 is not equal to pwaff2.
1683 */
1684 static __isl_give isl_set *pw_aff_ne_set(__isl_take isl_pw_aff *pwaff1,
1685 __isl_take isl_pw_aff *pwaff2)
1686 {
1687 isl_set *set_lt, *set_gt;
1688
1689 set_lt = isl_pw_aff_lt_set(isl_pw_aff_copy(pwaff1),
1690 isl_pw_aff_copy(pwaff2));
1691 set_gt = isl_pw_aff_gt_set(pwaff1, pwaff2);
1692 return isl_set_union_disjoint(set_lt, set_gt);
1693 }
1694
1695 __isl_give isl_set *isl_pw_aff_ne_set(__isl_take isl_pw_aff *pwaff1,
1696 __isl_take isl_pw_aff *pwaff2)
1697 {
1698 return align_params_pw_pw_set_and(pwaff1, pwaff2, &pw_aff_ne_set);
1699 }
1700
1701 __isl_give isl_pw_aff *isl_pw_aff_scale_down(__isl_take isl_pw_aff *pwaff,
1702 isl_int v)
1703 {
1704 int i;
1705
1706 if (isl_int_is_one(v))
1707 return pwaff;
1708 if (!isl_int_is_pos(v))
1709 isl_die(isl_pw_aff_get_ctx(pwaff), isl_error_invalid,
1710 "factor needs to be positive",
1711 return isl_pw_aff_free(pwaff));
1712 pwaff = isl_pw_aff_cow(pwaff);
1713 if (!pwaff)
1714 return NULL;
1715 if (pwaff->n == 0)
1716 return pwaff;
1717
1718 for (i = 0; i < pwaff->n; ++i) {
1719 pwaff->p[i].aff = isl_aff_scale_down(pwaff->p[i].aff, v);
1720 if (!pwaff->p[i].aff)
1721 return isl_pw_aff_free(pwaff);
1722 }
1723
1724 return pwaff;
1725 }
1726
1727 __isl_give isl_pw_aff *isl_pw_aff_floor(__isl_take isl_pw_aff *pwaff)
1728 {
1729 int i;
1730
1731 pwaff = isl_pw_aff_cow(pwaff);
1732 if (!pwaff)
1733 return NULL;
1734 if (pwaff->n == 0)
1735 return pwaff;
1736
1737 for (i = 0; i < pwaff->n; ++i) {
1738 pwaff->p[i].aff = isl_aff_floor(pwaff->p[i].aff);
1739 if (!pwaff->p[i].aff)
1740 return isl_pw_aff_free(pwaff);
1741 }
1742
1743 return pwaff;
1744 }
1745
1746 __isl_give isl_pw_aff *isl_pw_aff_ceil(__isl_take isl_pw_aff *pwaff)
1747 {
1748 int i;
1749
1750 pwaff = isl_pw_aff_cow(pwaff);
1751 if (!pwaff)
1752 return NULL;
1753 if (pwaff->n == 0)
1754 return pwaff;
1755
1756 for (i = 0; i < pwaff->n; ++i) {
1757 pwaff->p[i].aff = isl_aff_ceil(pwaff->p[i].aff);
1758 if (!pwaff->p[i].aff)
1759 return isl_pw_aff_free(pwaff);
1760 }
1761
1762 return pwaff;
1763 }
1764
1765 /* Return an affine expression that is equal to pwaff_true for elements
1766 * in "cond" and to pwaff_false for elements not in "cond".
1767 * That is, return cond ? pwaff_true : pwaff_false;
1768 */
1769 __isl_give isl_pw_aff *isl_pw_aff_cond(__isl_take isl_set *cond,
1770 __isl_take isl_pw_aff *pwaff_true, __isl_take isl_pw_aff *pwaff_false)
1771 {
1772 isl_set *comp;
1773
1774 comp = isl_set_complement(isl_set_copy(cond));
1775 pwaff_true = isl_pw_aff_intersect_domain(pwaff_true, cond);
1776 pwaff_false = isl_pw_aff_intersect_domain(pwaff_false, comp);
1777
1778 return isl_pw_aff_add_disjoint(pwaff_true, pwaff_false);
1779 }
1780
1781 int isl_aff_is_cst(__isl_keep isl_aff *aff)
1782 {
1783 if (!aff)
1784 return -1;
1785
1786 return isl_seq_first_non_zero(aff->v->el + 2, aff->v->size - 2) == -1;
1787 }
1788
1789 /* Check whether pwaff is a piecewise constant.
1790 */
1791 int isl_pw_aff_is_cst(__isl_keep isl_pw_aff *pwaff)
1792 {
1793 int i;
1794
1795 if (!pwaff)
1796 return -1;
1797
1798 for (i = 0; i < pwaff->n; ++i) {
1799 int is_cst = isl_aff_is_cst(pwaff->p[i].aff);
1800 if (is_cst < 0 || !is_cst)
1801 return is_cst;
1802 }
1803
1804 return 1;
1805 }
1806
1807 __isl_give isl_aff *isl_aff_mul(__isl_take isl_aff *aff1,
1808 __isl_take isl_aff *aff2)
1809 {
1810 if (!isl_aff_is_cst(aff2) && isl_aff_is_cst(aff1))
1811 return isl_aff_mul(aff2, aff1);
1812
1813 if (!isl_aff_is_cst(aff2))
1814 isl_die(isl_aff_get_ctx(aff1), isl_error_invalid,
1815 "at least one affine expression should be constant",
1816 goto error);
1817
1818 aff1 = isl_aff_cow(aff1);
1819 if (!aff1 || !aff2)
1820 goto error;
1821
1822 aff1 = isl_aff_scale(aff1, aff2->v->el[1]);
1823 aff1 = isl_aff_scale_down(aff1, aff2->v->el[0]);
1824
1825 isl_aff_free(aff2);
1826 return aff1;
1827 error:
1828 isl_aff_free(aff1);
1829 isl_aff_free(aff2);
1830 return NULL;
1831 }
1832
1833 static __isl_give isl_pw_aff *pw_aff_add(__isl_take isl_pw_aff *pwaff1,
1834 __isl_take isl_pw_aff *pwaff2)
1835 {
1836 return isl_pw_aff_on_shared_domain(pwaff1, pwaff2, &isl_aff_add);
1837 }
1838
1839 __isl_give isl_pw_aff *isl_pw_aff_add(__isl_take isl_pw_aff *pwaff1,
1840 __isl_take isl_pw_aff *pwaff2)
1841 {
1842 return isl_pw_aff_align_params_pw_pw_and(pwaff1, pwaff2, &pw_aff_add);
1843 }
1844
1845 __isl_give isl_pw_aff *isl_pw_aff_union_add(__isl_take isl_pw_aff *pwaff1,
1846 __isl_take isl_pw_aff *pwaff2)
1847 {
1848 return isl_pw_aff_union_add_(pwaff1, pwaff2);
1849 }
1850
1851 static __isl_give isl_pw_aff *pw_aff_mul(__isl_take isl_pw_aff *pwaff1,
1852 __isl_take isl_pw_aff *pwaff2)
1853 {
1854 return isl_pw_aff_on_shared_domain(pwaff1, pwaff2, &isl_aff_mul);
1855 }
1856
1857 __isl_give isl_pw_aff *isl_pw_aff_mul(__isl_take isl_pw_aff *pwaff1,
1858 __isl_take isl_pw_aff *pwaff2)
1859 {
1860 return isl_pw_aff_align_params_pw_pw_and(pwaff1, pwaff2, &pw_aff_mul);
1861 }
1862
1863 static __isl_give isl_pw_aff *pw_aff_min(__isl_take isl_pw_aff *pwaff1,
1864 __isl_take isl_pw_aff *pwaff2)
1865 {
1866 isl_set *le;
1867
1868 le = isl_pw_aff_le_set(isl_pw_aff_copy(pwaff1),
1869 isl_pw_aff_copy(pwaff2));
1870 return isl_pw_aff_cond(le, pwaff1, pwaff2);
1871 }
1872
1873 __isl_give isl_pw_aff *isl_pw_aff_min(__isl_take isl_pw_aff *pwaff1,
1874 __isl_take isl_pw_aff *pwaff2)
1875 {
1876 return isl_pw_aff_align_params_pw_pw_and(pwaff1, pwaff2, &pw_aff_min);
1877 }
1878
1879 static __isl_give isl_pw_aff *pw_aff_max(__isl_take isl_pw_aff *pwaff1,
1880 __isl_take isl_pw_aff *pwaff2)
1881 {
1882 isl_set *le;
1883
1884 le = isl_pw_aff_ge_set(isl_pw_aff_copy(pwaff1),
1885 isl_pw_aff_copy(pwaff2));
1886 return isl_pw_aff_cond(le, pwaff1, pwaff2);
1887 }
1888
1889 __isl_give isl_pw_aff *isl_pw_aff_max(__isl_take isl_pw_aff *pwaff1,
1890 __isl_take isl_pw_aff *pwaff2)
1891 {
1892 return isl_pw_aff_align_params_pw_pw_and(pwaff1, pwaff2, &pw_aff_max);
1893 }
1894
1895 static __isl_give isl_pw_aff *pw_aff_list_reduce(
1896 __isl_take isl_pw_aff_list *list,
1897 __isl_give isl_pw_aff *(*fn)(__isl_take isl_pw_aff *pwaff1,
1898 __isl_take isl_pw_aff *pwaff2))
1899 {
1900 int i;
1901 isl_ctx *ctx;
1902 isl_pw_aff *res;
1903
1904 if (!list)
1905 return NULL;
1906
1907 ctx = isl_pw_aff_list_get_ctx(list);
1908 if (list->n < 1)
1909 isl_die(ctx, isl_error_invalid,
1910 "list should contain at least one element",
1911 return isl_pw_aff_list_free(list));
1912
1913 res = isl_pw_aff_copy(list->p[0]);
1914 for (i = 1; i < list->n; ++i)
1915 res = fn(res, isl_pw_aff_copy(list->p[i]));
1916
1917 isl_pw_aff_list_free(list);
1918 return res;
1919 }
1920
1921 /* Return an isl_pw_aff that maps each element in the intersection of the
1922 * domains of the elements of list to the minimal corresponding affine
1923 * expression.
1924 */
1925 __isl_give isl_pw_aff *isl_pw_aff_list_min(__isl_take isl_pw_aff_list *list)
1926 {
1927 return pw_aff_list_reduce(list, &isl_pw_aff_min);
1928 }
1929
1930 /* Return an isl_pw_aff that maps each element in the intersection of the
1931 * domains of the elements of list to the maximal corresponding affine
1932 * expression.
1933 */
1934 __isl_give isl_pw_aff *isl_pw_aff_list_max(__isl_take isl_pw_aff_list *list)
1935 {
1936 return pw_aff_list_reduce(list, &isl_pw_aff_max);
1937 }
1938
1939 #undef BASE
1940 #define BASE aff
1941
1942 #include <isl_multi_templ.c>
1943
1944 __isl_give isl_multi_aff *isl_multi_aff_add(__isl_take isl_multi_aff *maff1,
1945 __isl_take isl_multi_aff *maff2)
1946 {
1947 int i;
1948 isl_ctx *ctx;
1949
1950 maff1 = isl_multi_aff_cow(maff1);
1951 if (!maff1 || !maff2)
1952 goto error;
1953
1954 ctx = isl_multi_aff_get_ctx(maff1);
1955 if (!isl_space_is_equal(maff1->space, maff2->space))
1956 isl_die(ctx, isl_error_invalid,
1957 "spaces don't match", goto error);
1958
1959 for (i = 0; i < maff1->n; ++i) {
1960 maff1->p[i] = isl_aff_add(maff1->p[i],
1961 isl_aff_copy(maff2->p[i]));
1962 if (!maff1->p[i])
1963 goto error;
1964 }
1965
1966 isl_multi_aff_free(maff2);
1967 return maff1;
1968 error:
1969 isl_multi_aff_free(maff1);
1970 isl_multi_aff_free(maff2);
1971 return NULL;
1972 }
1973
1974 /* Exploit the equalities in "eq" to simplify the affine expressions.
1975 */
1976 static __isl_give isl_multi_aff *isl_multi_aff_substitute_equalities(
1977 __isl_take isl_multi_aff *maff, __isl_take isl_basic_set *eq)
1978 {
1979 int i;
1980
1981 maff = isl_multi_aff_cow(maff);
1982 if (!maff || !eq)
1983 goto error;
1984
1985 for (i = 0; i < maff->n; ++i) {
1986 maff->p[i] = isl_aff_substitute_equalities(maff->p[i],
1987 isl_basic_set_copy(eq));
1988 if (!maff->p[i])
1989 goto error;
1990 }
1991
1992 isl_basic_set_free(eq);
1993 return maff;
1994 error:
1995 isl_basic_set_free(eq);
1996 isl_multi_aff_free(maff);
1997 return NULL;
1998 }
1999
2000 __isl_give isl_multi_aff *isl_multi_aff_scale(__isl_take isl_multi_aff *maff,
2001 isl_int f)
2002 {
2003 int i;
2004
2005 maff = isl_multi_aff_cow(maff);
2006 if (!maff)
2007 return NULL;
2008
2009 for (i = 0; i < maff->n; ++i) {
2010 maff->p[i] = isl_aff_scale(maff->p[i], f);
2011 if (!maff->p[i])
2012 return isl_multi_aff_free(maff);
2013 }
2014
2015 return maff;
2016 }
2017
2018 __isl_give isl_multi_aff *isl_multi_aff_add_on_domain(__isl_keep isl_set *dom,
2019 __isl_take isl_multi_aff *maff1, __isl_take isl_multi_aff *maff2)
2020 {
2021 maff1 = isl_multi_aff_add(maff1, maff2);
2022 maff1 = isl_multi_aff_gist(maff1, isl_set_copy(dom));
2023 return maff1;
2024 }
2025
2026 int isl_multi_aff_is_empty(__isl_keep isl_multi_aff *maff)
2027 {
2028 if (!maff)
2029 return -1;
2030
2031 return 0;
2032 }
2033
2034 int isl_multi_aff_plain_is_equal(__isl_keep isl_multi_aff *maff1,
2035 __isl_keep isl_multi_aff *maff2)
2036 {
2037 int i;
2038 int equal;
2039
2040 if (!maff1 || !maff2)
2041 return -1;
2042 if (maff1->n != maff2->n)
2043 return 0;
2044 equal = isl_space_is_equal(maff1->space, maff2->space);
2045 if (equal < 0 || !equal)
2046 return equal;
2047
2048 for (i = 0; i < maff1->n; ++i) {
2049 equal = isl_aff_plain_is_equal(maff1->p[i], maff2->p[i]);
2050 if (equal < 0 || !equal)
2051 return equal;
2052 }
2053
2054 return 1;
2055 }
2056
2057 __isl_give isl_multi_aff *isl_multi_aff_set_dim_name(
2058 __isl_take isl_multi_aff *maff,
2059 enum isl_dim_type type, unsigned pos, const char *s)
2060 {
2061 int i;
2062
2063 maff = isl_multi_aff_cow(maff);
2064 if (!maff)
2065 return NULL;
2066
2067 maff->space = isl_space_set_dim_name(maff->space, type, pos, s);
2068 if (!maff->space)
2069 return isl_multi_aff_free(maff);
2070 for (i = 0; i < maff->n; ++i) {
2071 maff->p[i] = isl_aff_set_dim_name(maff->p[i], type, pos, s);
2072 if (!maff->p[i])
2073 return isl_multi_aff_free(maff);
2074 }
2075
2076 return maff;
2077 }
2078
2079 __isl_give isl_multi_aff *isl_multi_aff_drop_dims(__isl_take isl_multi_aff *maff,
2080 enum isl_dim_type type, unsigned first, unsigned n)
2081 {
2082 int i;
2083
2084 maff = isl_multi_aff_cow(maff);
2085 if (!maff)
2086 return NULL;
2087
2088 maff->space = isl_space_drop_dims(maff->space, type, first, n);
2089 if (!maff->space)
2090 return isl_multi_aff_free(maff);
2091 for (i = 0; i < maff->n; ++i) {
2092 maff->p[i] = isl_aff_drop_dims(maff->p[i], type, first, n);
2093 if (!maff->p[i])
2094 return isl_multi_aff_free(maff);
2095 }
2096
2097 return maff;
2098 }
2099
2100 #undef PW
2101 #define PW isl_pw_multi_aff
2102 #undef EL
2103 #define EL isl_multi_aff
2104 #undef EL_IS_ZERO
2105 #define EL_IS_ZERO is_empty
2106 #undef ZERO
2107 #define ZERO empty
2108 #undef IS_ZERO
2109 #define IS_ZERO is_empty
2110 #undef FIELD
2111 #define FIELD maff
2112
2113 #define NO_NEG
2114 #define NO_EVAL
2115 #define NO_OPT
2116 #define NO_INVOLVES_DIMS
2117 #define NO_MOVE_DIMS
2118 #define NO_INSERT_DIMS
2119 #define NO_LIFT
2120 #define NO_MORPH
2121
2122 #include <isl_pw_templ.c>
2123
2124 static __isl_give isl_pw_multi_aff *pw_multi_aff_add(
2125 __isl_take isl_pw_multi_aff *pma1, __isl_take isl_pw_multi_aff *pma2)
2126 {
2127 return isl_pw_multi_aff_on_shared_domain(pma1, pma2,
2128 &isl_multi_aff_add);
2129 }
2130
2131 __isl_give isl_pw_multi_aff *isl_pw_multi_aff_add(
2132 __isl_take isl_pw_multi_aff *pma1, __isl_take isl_pw_multi_aff *pma2)
2133 {
2134 return isl_pw_multi_aff_align_params_pw_pw_and(pma1, pma2,
2135 &pw_multi_aff_add);
2136 }
2137
2138 __isl_give isl_pw_multi_aff *isl_pw_multi_aff_union_add(
2139 __isl_take isl_pw_multi_aff *pma1, __isl_take isl_pw_multi_aff *pma2)
2140 {
2141 return isl_pw_multi_aff_union_add_(pma1, pma2);
2142 }
2143
2144 /* Construct a map mapping the domain the piecewise multi-affine expression
2145 * to its range, with each dimension in the range equated to the
2146 * corresponding affine expression on its cell.
2147 */
2148 __isl_give isl_map *isl_map_from_pw_multi_aff(__isl_take isl_pw_multi_aff *pma)
2149 {
2150 int i;
2151 isl_map *map;
2152
2153 if (!pma)
2154 return NULL;
2155
2156 map = isl_map_empty(isl_pw_multi_aff_get_space(pma));
2157
2158 for (i = 0; i < pma->n; ++i) {
2159 isl_multi_aff *maff;
2160 isl_basic_map *bmap;
2161 isl_map *map_i;
2162
2163 maff = isl_multi_aff_copy(pma->p[i].maff);
2164 bmap = isl_basic_map_from_multi_aff(maff);
2165 map_i = isl_map_from_basic_map(bmap);
2166 map_i = isl_map_intersect_domain(map_i,
2167 isl_set_copy(pma->p[i].set));
2168 map = isl_map_union_disjoint(map, map_i);
2169 }
2170
2171 isl_pw_multi_aff_free(pma);
2172 return map;
2173 }
2174
2175 __isl_give isl_set *isl_set_from_pw_multi_aff(__isl_take isl_pw_multi_aff *pma)
2176 {
2177 if (!isl_space_is_set(pma->dim))
2178 isl_die(isl_pw_multi_aff_get_ctx(pma), isl_error_invalid,
2179 "isl_pw_multi_aff cannot be converted into an isl_set",
2180 return isl_pw_multi_aff_free(pma));
2181
2182 return isl_map_from_pw_multi_aff(pma);
2183 }
2184
2185 /* Try and create an isl_pw_multi_aff that is equivalent to the given isl_map.
2186 * This obivously only works if the input "map" is single-valued.
2187 * If so, we compute the lexicographic minimum of the image in the form
2188 * of an isl_pw_multi_aff. Since the image is unique, it is equal
2189 * to its lexicographic minimum.
2190 * If the input is not single-valued, we produce an error.
2191 */
2192 __isl_give isl_pw_multi_aff *isl_pw_multi_aff_from_map(__isl_take isl_map *map)
2193 {
2194 int i;
2195 int sv;
2196 isl_pw_multi_aff *pma;
2197
2198 if (!map)
2199 return NULL;
2200
2201 sv = isl_map_is_single_valued(map);
2202 if (sv < 0)
2203 goto error;
2204 if (!sv)
2205 isl_die(isl_map_get_ctx(map), isl_error_invalid,
2206 "map is not single-valued", goto error);
2207 map = isl_map_make_disjoint(map);
2208 if (!map)
2209 return NULL;
2210
2211 pma = isl_pw_multi_aff_empty(isl_map_get_space(map));
2212
2213 for (i = 0; i < map->n; ++i) {
2214 isl_pw_multi_aff *pma_i;
2215 isl_basic_map *bmap;
2216 bmap = isl_basic_map_copy(map->p[i]);
2217 pma_i = isl_basic_map_lexmin_pw_multi_aff(bmap);
2218 pma = isl_pw_multi_aff_add_disjoint(pma, pma_i);
2219 }
2220
2221 isl_map_free(map);
2222 return pma;
2223 error:
2224 isl_map_free(map);
2225 return NULL;
2226 }
2227
2228 __isl_give isl_pw_multi_aff *isl_pw_multi_aff_from_set(__isl_take isl_set *set)
2229 {
2230 return isl_pw_multi_aff_from_map(set);
2231 }
2232
2233 /* Plug in "subs" for dimension "type", "pos" of "aff".
2234 *
2235 * Let i be the dimension to replace and let "subs" be of the form
2236 *
2237 * f/d
2238 *
2239 * and "aff" of the form
2240 *
2241 * (a i + g)/m
2242 *
2243 * The result is
2244 *
2245 * floor((a f + d g')/(m d))
2246 *
2247 * where g' is the result of plugging in "subs" in each of the integer
2248 * divisions in g.
2249 */
2250 __isl_give isl_aff *isl_aff_substitute(__isl_take isl_aff *aff,
2251 enum isl_dim_type type, unsigned pos, __isl_keep isl_aff *subs)
2252 {
2253 isl_ctx *ctx;
2254 isl_int v;
2255
2256 aff = isl_aff_cow(aff);
2257 if (!aff || !subs)
2258 return isl_aff_free(aff);
2259
2260 ctx = isl_aff_get_ctx(aff);
2261 if (!isl_space_is_equal(aff->ls->dim, subs->ls->dim))
2262 isl_die(ctx, isl_error_invalid,
2263 "spaces don't match", return isl_aff_free(aff));
2264 if (isl_local_space_dim(subs->ls, isl_dim_div) != 0)
2265 isl_die(ctx, isl_error_unsupported,
2266 "cannot handle divs yet", return isl_aff_free(aff));
2267
2268 aff->ls = isl_local_space_substitute(aff->ls, type, pos, subs);
2269 if (!aff->ls)
2270 return isl_aff_free(aff);
2271
2272 aff->v = isl_vec_cow(aff->v);
2273 if (!aff->v)
2274 return isl_aff_free(aff);
2275
2276 pos += isl_local_space_offset(aff->ls, type);
2277
2278 isl_int_init(v);
2279 isl_int_set(v, aff->v->el[1 + pos]);
2280 isl_int_set_si(aff->v->el[1 + pos], 0);
2281 isl_seq_combine(aff->v->el + 1, subs->v->el[0], aff->v->el + 1,
2282 v, subs->v->el + 1, subs->v->size - 1);
2283 isl_int_mul(aff->v->el[0], aff->v->el[0], subs->v->el[0]);
2284 isl_int_clear(v);
2285
2286 return aff;
2287 }
2288
2289 /* Plug in "subs" for dimension "type", "pos" in each of the affine
2290 * expressions in "maff".
2291 */
2292 __isl_give isl_multi_aff *isl_multi_aff_substitute(
2293 __isl_take isl_multi_aff *maff, enum isl_dim_type type, unsigned pos,
2294 __isl_keep isl_aff *subs)
2295 {
2296 int i;
2297
2298 maff = isl_multi_aff_cow(maff);
2299 if (!maff || !subs)
2300 return isl_multi_aff_free(maff);
2301
2302 if (type == isl_dim_in)
2303 type = isl_dim_set;
2304
2305 for (i = 0; i < maff->n; ++i) {
2306 maff->p[i] = isl_aff_substitute(maff->p[i], type, pos, subs);
2307 if (!maff->p[i])
2308 return isl_multi_aff_free(maff);
2309 }
2310
2311 return maff;
2312 }
2313
2314 /* Plug in "subs" for dimension "type", "pos" of "pma".
2315 *
2316 * pma is of the form
2317 *
2318 * A_i(v) -> M_i(v)
2319 *
2320 * while subs is of the form
2321 *
2322 * v' = B_j(v) -> S_j
2323 *
2324 * Each pair i,j such that C_ij = A_i \cap B_i is non-empty
2325 * has a contribution in the result, in particular
2326 *
2327 * C_ij(S_j) -> M_i(S_j)
2328 *
2329 * Note that plugging in S_j in C_ij may also result in an empty set
2330 * and this contribution should simply be discarded.
2331 */
2332 __isl_give isl_pw_multi_aff *isl_pw_multi_aff_substitute(
2333 __isl_take isl_pw_multi_aff *pma, enum isl_dim_type type, unsigned pos,
2334 __isl_keep isl_pw_aff *subs)
2335 {
2336 int i, j, n;
2337 isl_pw_multi_aff *res;
2338
2339 if (!pma || !subs)
2340 return isl_pw_multi_aff_free(pma);
2341
2342 n = pma->n * subs->n;
2343 res = isl_pw_multi_aff_alloc_size(isl_space_copy(pma->dim), n);
2344
2345 for (i = 0; i < pma->n; ++i) {
2346 for (j = 0; j < subs->n; ++j) {
2347 isl_set *common;
2348 isl_multi_aff *res_ij;
2349 common = isl_set_intersect(
2350 isl_set_copy(pma->p[i].set),
2351 isl_set_copy(subs->p[j].set));
2352 common = isl_set_substitute(common,
2353 type, pos, subs->p[j].aff);
2354 if (isl_set_plain_is_empty(common)) {
2355 isl_set_free(common);
2356 continue;
2357 }
2358
2359 res_ij = isl_multi_aff_substitute(
2360 isl_multi_aff_copy(pma->p[i].maff),
2361 type, pos, subs->p[j].aff);
2362
2363 res = isl_pw_multi_aff_add_piece(res, common, res_ij);
2364 }
2365 }
2366
2367 isl_pw_multi_aff_free(pma);
2368 return res;
2369 }
2370
2371 /* Extend the local space of "dst" to include the divs
2372 * in the local space of "src".
2373 */
2374 __isl_give isl_aff *isl_aff_align_divs(__isl_take isl_aff *dst,
2375 __isl_keep isl_aff *src)
2376 {
2377 isl_ctx *ctx;
2378 int *exp1 = NULL;
2379 int *exp2 = NULL;
2380 isl_mat *div;
2381
2382 if (!src || !dst)
2383 return isl_aff_free(dst);
2384
2385 ctx = isl_aff_get_ctx(src);
2386 if (!isl_space_is_equal(src->ls->dim, dst->ls->dim))
2387 isl_die(ctx, isl_error_invalid,
2388 "spaces don't match", goto error);
2389
2390 if (src->ls->div->n_row == 0)
2391 return dst;
2392
2393 exp1 = isl_alloc_array(ctx, int, src->ls->div->n_row);
2394 exp2 = isl_alloc_array(ctx, int, dst->ls->div->n_row);
2395 if (!exp1 || !exp2)
2396 goto error;
2397
2398 div = isl_merge_divs(src->ls->div, dst->ls->div, exp1, exp2);
2399 dst = isl_aff_expand_divs(dst, div, exp2);
2400 free(exp1);
2401 free(exp2);
2402
2403 return dst;
2404 error:
2405 free(exp1);
2406 free(exp2);
2407 return isl_aff_free(dst);
2408 }
2409
2410 /* Adjust the local spaces of the affine expressions in "maff"
2411 * such that they all have the save divs.
2412 */
2413 __isl_give isl_multi_aff *isl_multi_aff_align_divs(
2414 __isl_take isl_multi_aff *maff)
2415 {
2416 int i;
2417
2418 if (!maff)
2419 return NULL;
2420 if (maff->n == 0)
2421 return maff;
2422 maff = isl_multi_aff_cow(maff);
2423 if (!maff)
2424 return NULL;
2425
2426 for (i = 1; i < maff->n; ++i)
2427 maff->p[0] = isl_aff_align_divs(maff->p[0], maff->p[i]);
2428 for (i = 1; i < maff->n; ++i) {
2429 maff->p[i] = isl_aff_align_divs(maff->p[i], maff->p[0]);
2430 if (!maff->p[i])
2431 return isl_multi_aff_free(maff);
2432 }
2433
2434 return maff;
2435 }
2436
2437 __isl_give isl_aff *isl_aff_lift(__isl_take isl_aff *aff)
2438 {
2439 aff = isl_aff_cow(aff);
2440 if (!aff)
2441 return NULL;
2442
2443 aff->ls = isl_local_space_lift(aff->ls);
2444 if (!aff->ls)
2445 return isl_aff_free(aff);
2446
2447 return aff;
2448 }
2449
2450 /* Lift "maff" to a space with extra dimensions such that the result
2451 * has no more existentially quantified variables.
2452 * If "ls" is not NULL, then *ls is assigned the local space that lies
2453 * at the basis of the lifting applied to "maff".
2454 */
2455 __isl_give isl_multi_aff *isl_multi_aff_lift(__isl_take isl_multi_aff *maff,
2456 __isl_give isl_local_space **ls)
2457 {
2458 int i;
2459 isl_space *space;
2460 unsigned n_div;
2461
2462 if (ls)
2463 *ls = NULL;
2464
2465 if (!maff)
2466 return NULL;
2467
2468 if (maff->n == 0) {
2469 if (ls) {
2470 isl_space *space = isl_multi_aff_get_domain_space(maff);
2471 *ls = isl_local_space_from_space(space);
2472 if (!*ls)
2473 return isl_multi_aff_free(maff);
2474 }
2475 return maff;
2476 }
2477
2478 maff = isl_multi_aff_cow(maff);
2479 maff = isl_multi_aff_align_divs(maff);
2480 if (!maff)
2481 return NULL;
2482
2483 n_div = isl_aff_dim(maff->p[0], isl_dim_div);
2484 space = isl_multi_aff_get_space(maff);
2485 space = isl_space_lift(isl_space_domain(space), n_div);
2486 space = isl_space_extend_domain_with_range(space,
2487 isl_multi_aff_get_space(maff));
2488 if (!space)
2489 return isl_multi_aff_free(maff);
2490 isl_space_free(maff->space);
2491 maff->space = space;
2492
2493 if (ls) {
2494 *ls = isl_aff_get_domain_local_space(maff->p[0]);
2495 if (!*ls)
2496 return isl_multi_aff_free(maff);
2497 }
2498
2499 for (i = 0; i < maff->n; ++i) {
2500 maff->p[i] = isl_aff_lift(maff->p[i]);
2501 if (!maff->p[i])
2502 goto error;
2503 }
2504
2505 return maff;
2506 error:
2507 if (ls)
2508 isl_local_space_free(*ls);
2509 return isl_multi_aff_free(maff);
2510 }
Integer set library