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add isl_pw_aff_align_params
[isl.git] / isl_aff.c
blob6fab5b043fe14b803a2b7ee448d64dfdc61bd036
1 /*
2 * Copyright 2011 INRIA Saclay
3 * Copyright 2011 Universiteit Leiden
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 * and Leiden Institute of Advanced Computer Science,
11 * Universiteit Leiden, Niels Bohrweg 1, 2333 CA Leiden, The Netherlands
12 */
13
14 #include <isl_map_private.h>
15 #include <isl_aff_private.h>
16 #include <isl_dim_private.h>
17 #include <isl_local_space_private.h>
18 #include <isl_mat_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_dim *isl_aff_get_dim(__isl_keep isl_aff *aff)
138 {
139 return aff ? isl_local_space_get_dim(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_dim(__isl_take isl_aff *aff,
154 __isl_take isl_dim *dim)
155 {
156 aff = isl_aff_cow(aff);
157 if (!aff || !dim)
158 goto error;
159
160 aff->ls = isl_local_space_reset_dim(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_dim_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, 2 + isl_dim_total(r->dim) + n_div);
186 isl_seq_cpy(res->el, vec->el, 2);
187 isl_seq_clr(res->el + 2, res->size - 2);
188 for (i = 0; i < r->len; ++i)
189 isl_int_set(res->el[2 + r->pos[i]], vec->el[2 + i]);
190
191 isl_reordering_free(r);
192 isl_vec_free(vec);
193 return res;
194 error:
195 isl_vec_free(vec);
196 isl_reordering_free(r);
197 return NULL;
198 }
199
200 /* Reorder the dimensions of "aff" according to the given reordering.
201 */
202 __isl_give isl_aff *isl_aff_realign(__isl_take isl_aff *aff,
203 __isl_take isl_reordering *r)
204 {
205 aff = isl_aff_cow(aff);
206 if (!aff)
207 goto error;
208
209 r = isl_reordering_extend(r, aff->ls->div->n_row);
210 aff->v = vec_reorder(aff->v, isl_reordering_copy(r),
211 aff->ls->div->n_row);
212 aff->ls = isl_local_space_realign(aff->ls, r);
213
214 if (!aff->v || !aff->ls)
215 return isl_aff_free(aff);
216
217 return aff;
218 error:
219 isl_aff_free(aff);
220 isl_reordering_free(r);
221 return NULL;
222 }
223
224 int isl_aff_plain_is_zero(__isl_keep isl_aff *aff)
225 {
226 if (!aff)
227 return -1;
228
229 return isl_seq_first_non_zero(aff->v->el + 1, aff->v->size - 1) < 0;
230 }
231
232 int isl_aff_plain_is_equal(__isl_keep isl_aff *aff1, __isl_keep isl_aff *aff2)
233 {
234 int equal;
235
236 if (!aff1 || !aff2)
237 return -1;
238
239 equal = isl_local_space_is_equal(aff1->ls, aff2->ls);
240 if (equal < 0 || !equal)
241 return equal;
242
243 return isl_vec_is_equal(aff1->v, aff2->v);
244 }
245
246 int isl_aff_get_denominator(__isl_keep isl_aff *aff, isl_int *v)
247 {
248 if (!aff)
249 return -1;
250 isl_int_set(*v, aff->v->el[0]);
251 return 0;
252 }
253
254 int isl_aff_get_constant(__isl_keep isl_aff *aff, isl_int *v)
255 {
256 if (!aff)
257 return -1;
258 isl_int_set(*v, aff->v->el[1]);
259 return 0;
260 }
261
262 int isl_aff_get_coefficient(__isl_keep isl_aff *aff,
263 enum isl_dim_type type, int pos, isl_int *v)
264 {
265 if (!aff)
266 return -1;
267
268 if (pos >= isl_local_space_dim(aff->ls, type))
269 isl_die(aff->v->ctx, isl_error_invalid,
270 "position out of bounds", return -1);
271
272 pos += isl_local_space_offset(aff->ls, type);
273 isl_int_set(*v, aff->v->el[1 + pos]);
274
275 return 0;
276 }
277
278 __isl_give isl_aff *isl_aff_set_denominator(__isl_take isl_aff *aff, isl_int v)
279 {
280 aff = isl_aff_cow(aff);
281 if (!aff)
282 return NULL;
283
284 aff->v = isl_vec_cow(aff->v);
285 if (!aff->v)
286 return isl_aff_free(aff);
287
288 isl_int_set(aff->v->el[0], v);
289
290 return aff;
291 }
292
293 __isl_give isl_aff *isl_aff_set_constant(__isl_take isl_aff *aff, isl_int v)
294 {
295 aff = isl_aff_cow(aff);
296 if (!aff)
297 return NULL;
298
299 aff->v = isl_vec_cow(aff->v);
300 if (!aff->v)
301 return isl_aff_free(aff);
302
303 isl_int_set(aff->v->el[1], v);
304
305 return aff;
306 }
307
308 __isl_give isl_aff *isl_aff_add_constant(__isl_take isl_aff *aff, isl_int v)
309 {
310 if (isl_int_is_zero(v))
311 return aff;
312
313 aff = isl_aff_cow(aff);
314 if (!aff)
315 return NULL;
316
317 aff->v = isl_vec_cow(aff->v);
318 if (!aff->v)
319 return isl_aff_free(aff);
320
321 isl_int_addmul(aff->v->el[1], aff->v->el[0], v);
322
323 return aff;
324 }
325
326 __isl_give isl_aff *isl_aff_add_constant_si(__isl_take isl_aff *aff, int v)
327 {
328 isl_int t;
329
330 isl_int_init(t);
331 isl_int_set_si(t, v);
332 aff = isl_aff_add_constant(aff, t);
333 isl_int_clear(t);
334
335 return aff;
336 }
337
338 __isl_give isl_aff *isl_aff_set_constant_si(__isl_take isl_aff *aff, int v)
339 {
340 aff = isl_aff_cow(aff);
341 if (!aff)
342 return NULL;
343
344 aff->v = isl_vec_cow(aff->v);
345 if (!aff->v)
346 return isl_aff_free(aff);
347
348 isl_int_set_si(aff->v->el[1], v);
349
350 return aff;
351 }
352
353 __isl_give isl_aff *isl_aff_set_coefficient(__isl_take isl_aff *aff,
354 enum isl_dim_type type, int pos, isl_int v)
355 {
356 if (!aff)
357 return NULL;
358
359 if (pos >= isl_local_space_dim(aff->ls, type))
360 isl_die(aff->v->ctx, isl_error_invalid,
361 "position out of bounds", return isl_aff_free(aff));
362
363 aff = isl_aff_cow(aff);
364 if (!aff)
365 return NULL;
366
367 aff->v = isl_vec_cow(aff->v);
368 if (!aff->v)
369 return isl_aff_free(aff);
370
371 pos += isl_local_space_offset(aff->ls, type);
372 isl_int_set(aff->v->el[1 + pos], v);
373
374 return aff;
375 }
376
377 __isl_give isl_aff *isl_aff_set_coefficient_si(__isl_take isl_aff *aff,
378 enum isl_dim_type type, int pos, int v)
379 {
380 if (!aff)
381 return NULL;
382
383 if (pos >= isl_local_space_dim(aff->ls, type))
384 isl_die(aff->v->ctx, isl_error_invalid,
385 "position out of bounds", return isl_aff_free(aff));
386
387 aff = isl_aff_cow(aff);
388 if (!aff)
389 return NULL;
390
391 aff->v = isl_vec_cow(aff->v);
392 if (!aff->v)
393 return isl_aff_free(aff);
394
395 pos += isl_local_space_offset(aff->ls, type);
396 isl_int_set_si(aff->v->el[1 + pos], v);
397
398 return aff;
399 }
400
401 __isl_give isl_aff *isl_aff_add_coefficient(__isl_take isl_aff *aff,
402 enum isl_dim_type type, int pos, isl_int v)
403 {
404 if (!aff)
405 return NULL;
406
407 if (pos >= isl_local_space_dim(aff->ls, type))
408 isl_die(aff->v->ctx, isl_error_invalid,
409 "position out of bounds", return isl_aff_free(aff));
410
411 aff = isl_aff_cow(aff);
412 if (!aff)
413 return NULL;
414
415 aff->v = isl_vec_cow(aff->v);
416 if (!aff->v)
417 return isl_aff_free(aff);
418
419 pos += isl_local_space_offset(aff->ls, type);
420 isl_int_addmul(aff->v->el[1 + pos], aff->v->el[0], v);
421
422 return aff;
423 }
424
425 __isl_give isl_aff *isl_aff_add_coefficient_si(__isl_take isl_aff *aff,
426 enum isl_dim_type type, int pos, int v)
427 {
428 isl_int t;
429
430 isl_int_init(t);
431 isl_int_set_si(t, v);
432 aff = isl_aff_add_coefficient(aff, type, pos, t);
433 isl_int_clear(t);
434
435 return aff;
436 }
437
438 __isl_give isl_div *isl_aff_get_div(__isl_keep isl_aff *aff, int pos)
439 {
440 if (!aff)
441 return NULL;
442
443 return isl_local_space_get_div(aff->ls, pos);
444 }
445
446 __isl_give isl_aff *isl_aff_neg(__isl_take isl_aff *aff)
447 {
448 aff = isl_aff_cow(aff);
449 if (!aff)
450 return NULL;
451 aff->v = isl_vec_cow(aff->v);
452 if (!aff->v)
453 return isl_aff_free(aff);
454
455 isl_seq_neg(aff->v->el + 1, aff->v->el + 1, aff->v->size - 1);
456
457 return aff;
458 }
459
460 /* Given f, return floor(f).
461 * If f is an integer expression, then just return f.
462 * Otherwise, create a new div d = [f] and return the expression d.
463 */
464 __isl_give isl_aff *isl_aff_floor(__isl_take isl_aff *aff)
465 {
466 int size;
467 isl_ctx *ctx;
468
469 if (!aff)
470 return NULL;
471
472 if (isl_int_is_one(aff->v->el[0]))
473 return aff;
474
475 aff = isl_aff_cow(aff);
476 if (!aff)
477 return NULL;
478
479 aff->ls = isl_local_space_add_div(aff->ls, isl_vec_copy(aff->v));
480 if (!aff->ls)
481 return isl_aff_free(aff);
482
483 ctx = isl_aff_get_ctx(aff);
484 size = aff->v->size;
485 isl_vec_free(aff->v);
486 aff->v = isl_vec_alloc(ctx, size + 1);
487 aff->v = isl_vec_clr(aff->v);
488 if (!aff->v)
489 return isl_aff_free(aff);
490 isl_int_set_si(aff->v->el[0], 1);
491 isl_int_set_si(aff->v->el[size], 1);
492
493 return aff;
494 }
495
496 /* Given f, return ceil(f).
497 * If f is an integer expression, then just return f.
498 * Otherwise, create a new div d = [-f] and return the expression -d.
499 */
500 __isl_give isl_aff *isl_aff_ceil(__isl_take isl_aff *aff)
501 {
502 if (!aff)
503 return NULL;
504
505 if (isl_int_is_one(aff->v->el[0]))
506 return aff;
507
508 aff = isl_aff_neg(aff);
509 aff = isl_aff_floor(aff);
510 aff = isl_aff_neg(aff);
511
512 return aff;
513 }
514
515 /* Apply the expansion computed by isl_merge_divs.
516 * The expansion itself is given by "exp" while the resulting
517 * list of divs is given by "div".
518 */
519 __isl_give isl_aff *isl_aff_expand_divs( __isl_take isl_aff *aff,
520 __isl_take isl_mat *div, int *exp)
521 {
522 int i, j;
523 int old_n_div;
524 int new_n_div;
525 int offset;
526
527 aff = isl_aff_cow(aff);
528 if (!aff || !div)
529 goto error;
530
531 old_n_div = isl_local_space_dim(aff->ls, isl_dim_div);
532 new_n_div = isl_mat_rows(div);
533 if (new_n_div < old_n_div)
534 isl_die(isl_mat_get_ctx(div), isl_error_invalid,
535 "not an expansion", goto error);
536
537 aff->v = isl_vec_extend(aff->v, aff->v->size + new_n_div - old_n_div);
538 if (!aff->v)
539 goto error;
540
541 offset = 1 + isl_local_space_offset(aff->ls, isl_dim_div);
542 j = old_n_div - 1;
543 for (i = new_n_div - 1; i >= 0; --i) {
544 if (j >= 0 && exp[j] == i) {
545 if (i != j)
546 isl_int_swap(aff->v->el[offset + i],
547 aff->v->el[offset + j]);
548 j--;
549 } else
550 isl_int_set_si(aff->v->el[offset + i], 0);
551 }
552
553 aff->ls = isl_local_space_replace_divs(aff->ls, isl_mat_copy(div));
554 if (!aff->ls)
555 goto error;
556 isl_mat_free(div);
557 return aff;
558 error:
559 isl_aff_free(aff);
560 isl_mat_free(div);
561 return NULL;
562 }
563
564 /* Add two affine expressions that live in the same local space.
565 */
566 static __isl_give isl_aff *add_expanded(__isl_take isl_aff *aff1,
567 __isl_take isl_aff *aff2)
568 {
569 isl_int gcd, f;
570
571 aff1 = isl_aff_cow(aff1);
572 if (!aff1 || !aff2)
573 goto error;
574
575 aff1->v = isl_vec_cow(aff1->v);
576 if (!aff1->v)
577 goto error;
578
579 isl_int_init(gcd);
580 isl_int_init(f);
581 isl_int_gcd(gcd, aff1->v->el[0], aff2->v->el[0]);
582 isl_int_divexact(f, aff2->v->el[0], gcd);
583 isl_seq_scale(aff1->v->el + 1, aff1->v->el + 1, f, aff1->v->size - 1);
584 isl_int_divexact(f, aff1->v->el[0], gcd);
585 isl_seq_addmul(aff1->v->el + 1, f, aff2->v->el + 1, aff1->v->size - 1);
586 isl_int_divexact(f, aff2->v->el[0], gcd);
587 isl_int_mul(aff1->v->el[0], aff1->v->el[0], f);
588 isl_int_clear(f);
589 isl_int_clear(gcd);
590
591 isl_aff_free(aff2);
592 return aff1;
593 error:
594 isl_aff_free(aff1);
595 isl_aff_free(aff2);
596 return NULL;
597 }
598
599 __isl_give isl_aff *isl_aff_add(__isl_take isl_aff *aff1,
600 __isl_take isl_aff *aff2)
601 {
602 isl_ctx *ctx;
603 int *exp1 = NULL;
604 int *exp2 = NULL;
605 isl_mat *div;
606
607 if (!aff1 || !aff2)
608 goto error;
609
610 ctx = isl_aff_get_ctx(aff1);
611 if (!isl_dim_equal(aff1->ls->dim, aff2->ls->dim))
612 isl_die(ctx, isl_error_invalid,
613 "spaces don't match", goto error);
614
615 if (aff1->ls->div->n_row == 0 && aff2->ls->div->n_row == 0)
616 return add_expanded(aff1, aff2);
617
618 exp1 = isl_alloc_array(ctx, int, aff1->ls->div->n_row);
619 exp2 = isl_alloc_array(ctx, int, aff2->ls->div->n_row);
620 if (!exp1 || !exp2)
621 goto error;
622
623 div = isl_merge_divs(aff1->ls->div, aff2->ls->div, exp1, exp2);
624 aff1 = isl_aff_expand_divs(aff1, isl_mat_copy(div), exp1);
625 aff2 = isl_aff_expand_divs(aff2, div, exp2);
626 free(exp1);
627 free(exp2);
628
629 return add_expanded(aff1, aff2);
630 error:
631 free(exp1);
632 free(exp2);
633 isl_aff_free(aff1);
634 isl_aff_free(aff2);
635 return NULL;
636 }
637
638 __isl_give isl_aff *isl_aff_sub(__isl_take isl_aff *aff1,
639 __isl_take isl_aff *aff2)
640 {
641 return isl_aff_add(aff1, isl_aff_neg(aff2));
642 }
643
644 __isl_give isl_aff *isl_aff_scale(__isl_take isl_aff *aff, isl_int f)
645 {
646 isl_int gcd;
647
648 if (isl_int_is_one(f))
649 return aff;
650
651 aff = isl_aff_cow(aff);
652 if (!aff)
653 return NULL;
654 aff->v = isl_vec_cow(aff->v);
655 if (!aff->v)
656 return isl_aff_free(aff);
657
658 isl_int_init(gcd);
659 isl_int_gcd(gcd, aff->v->el[0], f);
660 isl_int_divexact(aff->v->el[0], aff->v->el[0], gcd);
661 isl_int_divexact(gcd, f, gcd);
662 isl_seq_scale(aff->v->el + 1, aff->v->el + 1, gcd, aff->v->size - 1);
663 isl_int_clear(gcd);
664
665 return aff;
666 }
667
668 __isl_give isl_aff *isl_aff_scale_down(__isl_take isl_aff *aff, isl_int f)
669 {
670 isl_int gcd;
671
672 if (isl_int_is_one(f))
673 return aff;
674
675 aff = isl_aff_cow(aff);
676 if (!aff)
677 return NULL;
678 aff->v = isl_vec_cow(aff->v);
679 if (!aff->v)
680 return isl_aff_free(aff);
681
682 isl_int_init(gcd);
683 isl_seq_gcd(aff->v->el + 1, aff->v->size - 1, &gcd);
684 isl_int_gcd(gcd, gcd, f);
685 isl_seq_scale_down(aff->v->el + 1, aff->v->el + 1, gcd, aff->v->size - 1);
686 isl_int_divexact(gcd, f, gcd);
687 isl_int_mul(aff->v->el[0], aff->v->el[0], gcd);
688 isl_int_clear(gcd);
689
690 return aff;
691 }
692
693 __isl_give isl_aff *isl_aff_scale_down_ui(__isl_take isl_aff *aff, unsigned f)
694 {
695 isl_int v;
696
697 if (f == 1)
698 return aff;
699
700 isl_int_init(v);
701 isl_int_set_ui(v, f);
702 aff = isl_aff_scale_down(aff, v);
703 isl_int_clear(v);
704
705 return aff;
706 }
707
708 __isl_give isl_aff *isl_aff_set_dim_name(__isl_take isl_aff *aff,
709 enum isl_dim_type type, unsigned pos, const char *s)
710 {
711 aff = isl_aff_cow(aff);
712 if (!aff)
713 return NULL;
714 aff->ls = isl_local_space_set_dim_name(aff->ls, type, pos, s);
715 if (!aff->ls)
716 return isl_aff_free(aff);
717
718 return aff;
719 }
720
721 /* Exploit the equalities in "eq" to simplify the affine expression
722 * and the expressions of the integer divisions in the local space.
723 * The integer divisions in this local space are assumed to appear
724 * as regular dimensions in "eq".
725 */
726 static __isl_give isl_aff *isl_aff_substitute_equalities(
727 __isl_take isl_aff *aff, __isl_take isl_basic_set *eq)
728 {
729 int i, j;
730 unsigned total;
731 unsigned n_div;
732
733 if (!eq)
734 goto error;
735 if (eq->n_eq == 0) {
736 isl_basic_set_free(eq);
737 return aff;
738 }
739
740 aff = isl_aff_cow(aff);
741 if (!aff)
742 goto error;
743
744 aff->ls = isl_local_space_substitute_equalities(aff->ls,
745 isl_basic_set_copy(eq));
746 if (!aff->ls)
747 goto error;
748
749 total = 1 + isl_dim_total(eq->dim);
750 n_div = eq->n_div;
751 for (i = 0; i < eq->n_eq; ++i) {
752 j = isl_seq_last_non_zero(eq->eq[i], total + n_div);
753 if (j < 0 || j == 0 || j >= total)
754 continue;
755
756 isl_seq_elim(aff->v->el + 1, eq->eq[i], j, total,
757 &aff->v->el[0]);
758 }
759
760 isl_basic_set_free(eq);
761 return aff;
762 error:
763 isl_basic_set_free(eq);
764 isl_aff_free(aff);
765 return NULL;
766 }
767
768 /* Look for equalities among the variables shared by context and aff
769 * and the integer divisions of aff, if any.
770 * The equalities are then used to eliminate coefficients and/or integer
771 * divisions from aff.
772 */
773 __isl_give isl_aff *isl_aff_gist(__isl_take isl_aff *aff,
774 __isl_take isl_set *context)
775 {
776 isl_basic_set *hull;
777 int n_div;
778
779 if (!aff)
780 goto error;
781 n_div = isl_local_space_dim(aff->ls, isl_dim_div);
782 if (n_div > 0) {
783 isl_basic_set *bset;
784 context = isl_set_add_dims(context, isl_dim_set, n_div);
785 bset = isl_basic_set_from_local_space(
786 isl_aff_get_local_space(aff));
787 bset = isl_basic_set_lift(bset);
788 bset = isl_basic_set_flatten(bset);
789 context = isl_set_intersect(context,
790 isl_set_from_basic_set(bset));
791 }
792
793 hull = isl_set_affine_hull(context);
794 return isl_aff_substitute_equalities(aff, hull);
795 error:
796 isl_aff_free(aff);
797 isl_set_free(context);
798 return NULL;
799 }
800
801 /* Return a basic set containing those elements in the space
802 * of aff where it is non-negative.
803 */
804 __isl_give isl_basic_set *isl_aff_nonneg_basic_set(__isl_take isl_aff *aff)
805 {
806 isl_constraint *ineq;
807
808 ineq = isl_inequality_from_aff(aff);
809
810 return isl_basic_set_from_constraint(ineq);
811 }
812
813 /* Return a basic set containing those elements in the shared space
814 * of aff1 and aff2 where aff1 is greater than or equal to aff2.
815 */
816 __isl_give isl_basic_set *isl_aff_ge_basic_set(__isl_take isl_aff *aff1,
817 __isl_take isl_aff *aff2)
818 {
819 aff1 = isl_aff_sub(aff1, aff2);
820
821 return isl_aff_nonneg_basic_set(aff1);
822 }
823
824 __isl_give isl_aff *isl_aff_add_on_domain(__isl_keep isl_set *dom,
825 __isl_take isl_aff *aff1, __isl_take isl_aff *aff2)
826 {
827 aff1 = isl_aff_add(aff1, aff2);
828 aff1 = isl_aff_gist(aff1, isl_set_copy(dom));
829 return aff1;
830 }
831
832 int isl_aff_is_empty(__isl_keep isl_aff *aff)
833 {
834 if (!aff)
835 return -1;
836
837 return 0;
838 }
839
840 /* Set active[i] to 1 if the dimension at position i is involved
841 * in the affine expression.
842 */
843 static int set_active(__isl_keep isl_aff *aff, int *active)
844 {
845 int i, j;
846 unsigned total;
847 unsigned offset;
848
849 if (!aff || !active)
850 return -1;
851
852 total = aff->v->size - 2;
853 for (i = 0; i < total; ++i)
854 active[i] = !isl_int_is_zero(aff->v->el[2 + i]);
855
856 offset = isl_local_space_offset(aff->ls, isl_dim_div) - 1;
857 for (i = aff->ls->div->n_row - 1; i >= 0; --i) {
858 if (!active[offset + i])
859 continue;
860 for (j = 0; j < total; ++j)
861 active[j] |=
862 !isl_int_is_zero(aff->ls->div->row[i][2 + j]);
863 }
864
865 return 0;
866 }
867
868 /* Check whether the given affine expression has non-zero coefficient
869 * for any dimension in the given range or if any of these dimensions
870 * appear with non-zero coefficients in any of the integer divisions
871 * involved in the affine expression.
872 */
873 int isl_aff_involves_dims(__isl_keep isl_aff *aff,
874 enum isl_dim_type type, unsigned first, unsigned n)
875 {
876 int i;
877 isl_ctx *ctx;
878 int *active = NULL;
879 int involves = 0;
880
881 if (!aff)
882 return -1;
883 if (n == 0)
884 return 0;
885
886 ctx = isl_aff_get_ctx(aff);
887 if (first + n > isl_aff_dim(aff, type))
888 isl_die(ctx, isl_error_invalid,
889 "range out of bounds", return -1);
890
891 active = isl_calloc_array(ctx, int,
892 isl_local_space_dim(aff->ls, isl_dim_all));
893 if (set_active(aff, active) < 0)
894 goto error;
895
896 first += isl_local_space_offset(aff->ls, type) - 1;
897 for (i = 0; i < n; ++i)
898 if (active[first + i]) {
899 involves = 1;
900 break;
901 }
902
903 free(active);
904
905 return involves;
906 error:
907 free(active);
908 return -1;
909 }
910
911 __isl_give isl_aff *isl_aff_drop_dims(__isl_take isl_aff *aff,
912 enum isl_dim_type type, unsigned first, unsigned n)
913 {
914 isl_ctx *ctx;
915
916 if (!aff)
917 return NULL;
918 if (n == 0 && !isl_local_space_is_named_or_nested(aff->ls, type))
919 return aff;
920
921 ctx = isl_aff_get_ctx(aff);
922 if (first + n > isl_aff_dim(aff, type))
923 isl_die(ctx, isl_error_invalid, "range out of bounds",
924 return isl_aff_free(aff));
925
926 aff = isl_aff_cow(aff);
927 if (!aff)
928 return NULL;
929
930 aff->ls = isl_local_space_drop_dims(aff->ls, type, first, n);
931 if (!aff->ls)
932 return isl_aff_free(aff);
933
934 first += 1 + isl_local_space_offset(aff->ls, type);
935 aff->v = isl_vec_drop_els(aff->v, first, n);
936 if (!aff->v)
937 return isl_aff_free(aff);
938
939 return aff;
940 }
941
942 __isl_give isl_aff *isl_aff_insert_dims(__isl_take isl_aff *aff,
943 enum isl_dim_type type, unsigned first, unsigned n)
944 {
945 isl_ctx *ctx;
946
947 if (!aff)
948 return NULL;
949 if (n == 0 && !isl_local_space_is_named_or_nested(aff->ls, type))
950 return aff;
951
952 ctx = isl_aff_get_ctx(aff);
953 if (first > isl_aff_dim(aff, type))
954 isl_die(ctx, isl_error_invalid, "position out of bounds",
955 return isl_aff_free(aff));
956
957 aff = isl_aff_cow(aff);
958 if (!aff)
959 return NULL;
960
961 aff->ls = isl_local_space_insert_dims(aff->ls, type, first, n);
962 if (!aff->ls)
963 return isl_aff_free(aff);
964
965 first += 1 + isl_local_space_offset(aff->ls, type);
966 aff->v = isl_vec_insert_zero_els(aff->v, first, n);
967 if (!aff->v)
968 return isl_aff_free(aff);
969
970 return aff;
971 }
972
973 __isl_give isl_aff *isl_aff_add_dims(__isl_take isl_aff *aff,
974 enum isl_dim_type type, unsigned n)
975 {
976 unsigned pos;
977
978 pos = isl_aff_dim(aff, type);
979
980 return isl_aff_insert_dims(aff, type, pos, n);
981 }
982
983 __isl_give isl_pw_aff *isl_pw_aff_add_dims(__isl_take isl_pw_aff *pwaff,
984 enum isl_dim_type type, unsigned n)
985 {
986 unsigned pos;
987
988 pos = isl_pw_aff_dim(pwaff, type);
989
990 return isl_pw_aff_insert_dims(pwaff, type, pos, n);
991 }
992
993 #undef PW
994 #define PW isl_pw_aff
995 #undef EL
996 #define EL isl_aff
997 #undef EL_IS_ZERO
998 #define EL_IS_ZERO is_empty
999 #undef ZERO
1000 #define ZERO empty
1001 #undef IS_ZERO
1002 #define IS_ZERO is_empty
1003 #undef FIELD
1004 #define FIELD aff
1005
1006 #define NO_EVAL
1007 #define NO_OPT
1008 #define NO_MOVE_DIMS
1009 #define NO_LIFT
1010 #define NO_MORPH
1011
1012 #include <isl_pw_templ.c>
1013
1014 /* Compute a piecewise quasi-affine expression with a domain that
1015 * is the union of those of pwaff1 and pwaff2 and such that on each
1016 * cell, the quasi-affine expression is the maximum of those of pwaff1
1017 * and pwaff2. If only one of pwaff1 or pwaff2 is defined on a given
1018 * cell, then the associated expression is the defined one.
1019 */
1020 __isl_give isl_pw_aff *isl_pw_aff_max(__isl_take isl_pw_aff *pwaff1,
1021 __isl_take isl_pw_aff *pwaff2)
1022 {
1023 int i, j, n;
1024 isl_pw_aff *res;
1025 isl_ctx *ctx;
1026 isl_set *set;
1027
1028 if (!pwaff1 || !pwaff2)
1029 goto error;
1030
1031 ctx = isl_dim_get_ctx(pwaff1->dim);
1032 if (!isl_dim_equal(pwaff1->dim, pwaff2->dim))
1033 isl_die(ctx, isl_error_invalid,
1034 "arguments should live in same space", goto error);
1035
1036 if (isl_pw_aff_is_empty(pwaff1)) {
1037 isl_pw_aff_free(pwaff1);
1038 return pwaff2;
1039 }
1040
1041 if (isl_pw_aff_is_empty(pwaff2)) {
1042 isl_pw_aff_free(pwaff2);
1043 return pwaff1;
1044 }
1045
1046 n = 2 * (pwaff1->n + 1) * (pwaff2->n + 1);
1047 res = isl_pw_aff_alloc_(isl_dim_copy(pwaff1->dim), n);
1048
1049 for (i = 0; i < pwaff1->n; ++i) {
1050 set = isl_set_copy(pwaff1->p[i].set);
1051 for (j = 0; j < pwaff2->n; ++j) {
1052 struct isl_set *common;
1053 isl_set *ge;
1054
1055 common = isl_set_intersect(
1056 isl_set_copy(pwaff1->p[i].set),
1057 isl_set_copy(pwaff2->p[j].set));
1058 ge = isl_set_from_basic_set(isl_aff_ge_basic_set(
1059 isl_aff_copy(pwaff2->p[j].aff),
1060 isl_aff_copy(pwaff1->p[i].aff)));
1061 ge = isl_set_intersect(common, ge);
1062 if (isl_set_plain_is_empty(ge)) {
1063 isl_set_free(ge);
1064 continue;
1065 }
1066 set = isl_set_subtract(set, isl_set_copy(ge));
1067
1068 res = isl_pw_aff_add_piece(res, ge,
1069 isl_aff_copy(pwaff2->p[j].aff));
1070 }
1071 res = isl_pw_aff_add_piece(res, set,
1072 isl_aff_copy(pwaff1->p[i].aff));
1073 }
1074
1075 for (j = 0; j < pwaff2->n; ++j) {
1076 set = isl_set_copy(pwaff2->p[j].set);
1077 for (i = 0; i < pwaff1->n; ++i)
1078 set = isl_set_subtract(set,
1079 isl_set_copy(pwaff1->p[i].set));
1080 res = isl_pw_aff_add_piece(res, set,
1081 isl_aff_copy(pwaff2->p[j].aff));
1082 }
1083
1084 isl_pw_aff_free(pwaff1);
1085 isl_pw_aff_free(pwaff2);
1086
1087 return res;
1088 error:
1089 isl_pw_aff_free(pwaff1);
1090 isl_pw_aff_free(pwaff2);
1091 return NULL;
1092 }
1093
1094 /* Construct a map with as domain the domain of pwaff and
1095 * one-dimensional range corresponding to the affine expressions.
1096 */
1097 __isl_give isl_map *isl_map_from_pw_aff(__isl_take isl_pw_aff *pwaff)
1098 {
1099 int i;
1100 isl_dim *dim;
1101 isl_map *map;
1102
1103 if (!pwaff)
1104 return NULL;
1105
1106 dim = isl_pw_aff_get_dim(pwaff);
1107 dim = isl_dim_from_domain(dim);
1108 dim = isl_dim_add(dim, isl_dim_out, 1);
1109 map = isl_map_empty(dim);
1110
1111 for (i = 0; i < pwaff->n; ++i) {
1112 isl_basic_map *bmap;
1113 isl_map *map_i;
1114
1115 bmap = isl_basic_map_from_aff(isl_aff_copy(pwaff->p[i].aff));
1116 map_i = isl_map_from_basic_map(bmap);
1117 map_i = isl_map_intersect_domain(map_i,
1118 isl_set_copy(pwaff->p[i].set));
1119 map = isl_map_union_disjoint(map, map_i);
1120 }
1121
1122 isl_pw_aff_free(pwaff);
1123
1124 return map;
1125 }
1126
1127 /* Return a set containing those elements in the domain
1128 * of pwaff where it is non-negative.
1129 */
1130 __isl_give isl_set *isl_pw_aff_nonneg_set(__isl_take isl_pw_aff *pwaff)
1131 {
1132 int i;
1133 isl_set *set;
1134
1135 if (!pwaff)
1136 return NULL;
1137
1138 set = isl_set_empty(isl_pw_aff_get_dim(pwaff));
1139
1140 for (i = 0; i < pwaff->n; ++i) {
1141 isl_basic_set *bset;
1142 isl_set *set_i;
1143
1144 bset = isl_aff_nonneg_basic_set(isl_aff_copy(pwaff->p[i].aff));
1145 set_i = isl_set_from_basic_set(bset);
1146 set_i = isl_set_intersect(set_i, isl_set_copy(pwaff->p[i].set));
1147 set = isl_set_union_disjoint(set, set_i);
1148 }
1149
1150 isl_pw_aff_free(pwaff);
1151
1152 return set;
1153 }
1154
1155 /* Return a set containing those elements in the shared domain
1156 * of pwaff1 and pwaff2 where pwaff1 is greater than (or equal) to pwaff2.
1157 *
1158 * We compute the difference on the shared domain and then construct
1159 * the set of values where this difference is non-negative.
1160 * If strict is set, we first subtract 1 from the difference.
1161 */
1162 static __isl_give isl_set *pw_aff_gte_set(__isl_take isl_pw_aff *pwaff1,
1163 __isl_take isl_pw_aff *pwaff2, int strict)
1164 {
1165 isl_set *set1, *set2;
1166
1167 set1 = isl_pw_aff_domain(isl_pw_aff_copy(pwaff1));
1168 set2 = isl_pw_aff_domain(isl_pw_aff_copy(pwaff2));
1169 set1 = isl_set_intersect(set1, set2);
1170 pwaff1 = isl_pw_aff_intersect_domain(pwaff1, isl_set_copy(set1));
1171 pwaff2 = isl_pw_aff_intersect_domain(pwaff2, isl_set_copy(set1));
1172 pwaff1 = isl_pw_aff_add(pwaff1, isl_pw_aff_neg(pwaff2));
1173
1174 if (strict) {
1175 isl_dim *dim = isl_set_get_dim(set1);
1176 isl_aff *aff;
1177 aff = isl_aff_zero(isl_local_space_from_dim(dim));
1178 aff = isl_aff_add_constant_si(aff, -1);
1179 pwaff1 = isl_pw_aff_add(pwaff1, isl_pw_aff_alloc(set1, aff));
1180 } else
1181 isl_set_free(set1);
1182
1183 return isl_pw_aff_nonneg_set(pwaff1);
1184 }
1185
1186 /* Return a set containing those elements in the shared domain
1187 * of pwaff1 and pwaff2 where pwaff1 is greater than or equal to pwaff2.
1188 */
1189 __isl_give isl_set *isl_pw_aff_ge_set(__isl_take isl_pw_aff *pwaff1,
1190 __isl_take isl_pw_aff *pwaff2)
1191 {
1192 return pw_aff_gte_set(pwaff1, pwaff2, 0);
1193 }
1194
1195 /* Return a set containing those elements in the shared domain
1196 * of pwaff1 and pwaff2 where pwaff1 is strictly greater than pwaff2.
1197 */
1198 __isl_give isl_set *isl_pw_aff_gt_set(__isl_take isl_pw_aff *pwaff1,
1199 __isl_take isl_pw_aff *pwaff2)
1200 {
1201 return pw_aff_gte_set(pwaff1, pwaff2, 1);
1202 }
1203
1204 __isl_give isl_set *isl_pw_aff_lt_set(__isl_take isl_pw_aff *pwaff1,
1205 __isl_take isl_pw_aff *pwaff2)
1206 {
1207 return isl_pw_aff_gt_set(pwaff2, pwaff1);
1208 }
Integer set library