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generalize isl_multi_aff_plain_is_equal
[isl.git] / isl_multi_templ.c
blob1e9d2b872bce49083f47b8e8c4dbd3fffc1122d3
1 /*
2 * Copyright 2011 Sven Verdoolaege
3 * Copyright 2012-2013 Ecole Normale Superieure
4 *
5 * Use of this software is governed by the MIT license
6 *
7 * Written by Sven Verdoolaege,
8 * Ecole Normale Superieure, 45 rue d’Ulm, 75230 Paris, France
9 */
10
11 #include <isl_space_private.h>
12 #include <isl/set.h>
13 #include <isl_reordering.h>
14
15 #define xCAT(A,B) A ## B
16 #define CAT(A,B) xCAT(A,B)
17 #undef EL
18 #define EL CAT(isl_,BASE)
19 #define xFN(TYPE,NAME) TYPE ## _ ## NAME
20 #define FN(TYPE,NAME) xFN(TYPE,NAME)
21 #define xMULTI(BASE) isl_multi_ ## BASE
22 #define MULTI(BASE) xMULTI(BASE)
23 #define MULTI_NAME(BASE) "isl_multi_" #BASE
24 #define xLIST(EL) EL ## _list
25 #define LIST(EL) xLIST(EL)
26
27 isl_ctx *FN(MULTI(BASE),get_ctx)(__isl_keep MULTI(BASE) *multi)
28 {
29 return multi ? isl_space_get_ctx(multi->space) : NULL;
30 }
31
32 __isl_give isl_space *FN(MULTI(BASE),get_space)(__isl_keep MULTI(BASE) *multi)
33 {
34 return multi ? isl_space_copy(multi->space) : NULL;
35 }
36
37 __isl_give isl_space *FN(MULTI(BASE),get_domain_space)(
38 __isl_keep MULTI(BASE) *multi)
39 {
40 return multi ? isl_space_domain(isl_space_copy(multi->space)) : NULL;
41 }
42
43 __isl_give MULTI(BASE) *FN(MULTI(BASE),alloc)(__isl_take isl_space *space)
44 {
45 isl_ctx *ctx;
46 int n;
47 MULTI(BASE) *multi;
48
49 if (!space)
50 return NULL;
51
52 ctx = isl_space_get_ctx(space);
53 n = isl_space_dim(space, isl_dim_out);
54 multi = isl_calloc(ctx, MULTI(BASE),
55 sizeof(MULTI(BASE)) + (n - 1) * sizeof(struct EL *));
56 if (!multi)
57 goto error;
58
59 multi->space = space;
60 multi->n = n;
61 multi->ref = 1;
62 return multi;
63 error:
64 isl_space_free(space);
65 return NULL;
66 }
67
68 __isl_give MULTI(BASE) *FN(MULTI(BASE),dup)(__isl_keep MULTI(BASE) *multi)
69 {
70 int i;
71 MULTI(BASE) *dup;
72
73 if (!multi)
74 return NULL;
75
76 dup = FN(MULTI(BASE),alloc)(isl_space_copy(multi->space));
77 if (!dup)
78 return NULL;
79
80 for (i = 0; i < multi->n; ++i)
81 dup = FN(FN(MULTI(BASE),set),BASE)(dup, i,
82 FN(EL,copy)(multi->p[i]));
83
84 return dup;
85 }
86
87 __isl_give MULTI(BASE) *FN(MULTI(BASE),cow)(__isl_take MULTI(BASE) *multi)
88 {
89 if (!multi)
90 return NULL;
91
92 if (multi->ref == 1)
93 return multi;
94
95 multi->ref--;
96 return FN(MULTI(BASE),dup)(multi);
97 }
98
99 __isl_give MULTI(BASE) *FN(MULTI(BASE),copy)(__isl_keep MULTI(BASE) *multi)
100 {
101 if (!multi)
102 return NULL;
103
104 multi->ref++;
105 return multi;
106 }
107
108 void *FN(MULTI(BASE),free)(__isl_take MULTI(BASE) *multi)
109 {
110 int i;
111
112 if (!multi)
113 return NULL;
114
115 if (--multi->ref > 0)
116 return NULL;
117
118 isl_space_free(multi->space);
119 for (i = 0; i < multi->n; ++i)
120 FN(EL,free)(multi->p[i]);
121 free(multi);
122
123 return NULL;
124 }
125
126 __isl_give MULTI(BASE) *FN(MULTI(BASE),insert_dims)(
127 __isl_take MULTI(BASE) *multi,
128 enum isl_dim_type type, unsigned first, unsigned n)
129 {
130 int i;
131
132 if (!multi)
133 return NULL;
134 if (type == isl_dim_out)
135 isl_die(FN(MULTI(BASE),get_ctx)(multi), isl_error_invalid,
136 "cannot insert output/set dimensions",
137 return FN(MULTI(BASE),free)(multi));
138 if (n == 0 && !isl_space_is_named_or_nested(multi->space, type))
139 return multi;
140
141 multi = FN(MULTI(BASE),cow)(multi);
142 if (!multi)
143 return NULL;
144
145 multi->space = isl_space_insert_dims(multi->space, type, first, n);
146 if (!multi->space)
147 return FN(MULTI(BASE),free)(multi);
148
149 for (i = 0; i < multi->n; ++i) {
150 multi->p[i] = FN(EL,insert_dims)(multi->p[i], type, first, n);
151 if (!multi->p[i])
152 return FN(MULTI(BASE),free)(multi);
153 }
154
155 return multi;
156 }
157
158 __isl_give MULTI(BASE) *FN(MULTI(BASE),add_dims)(__isl_take MULTI(BASE) *multi,
159 enum isl_dim_type type, unsigned n)
160 {
161 unsigned pos;
162
163 pos = FN(MULTI(BASE),dim)(multi, type);
164
165 return FN(MULTI(BASE),insert_dims)(multi, type, pos, n);
166 }
167
168 unsigned FN(MULTI(BASE),dim)(__isl_keep MULTI(BASE) *multi,
169 enum isl_dim_type type)
170 {
171 return multi ? isl_space_dim(multi->space, type) : 0;
172 }
173
174 /* Return the position of the first dimension of "type" with id "id".
175 * Return -1 if there is no such dimension.
176 */
177 int FN(MULTI(BASE),find_dim_by_id)(__isl_keep MULTI(BASE) *multi,
178 enum isl_dim_type type, __isl_keep isl_id *id)
179 {
180 if (!multi)
181 return -1;
182 return isl_space_find_dim_by_id(multi->space, type, id);
183 }
184
185 /* Return the id of the given dimension.
186 */
187 __isl_give isl_id *FN(MULTI(BASE),get_dim_id)(__isl_keep MULTI(BASE) *multi,
188 enum isl_dim_type type, unsigned pos)
189 {
190 return multi ? isl_space_get_dim_id(multi->space, type, pos) : NULL;
191 }
192
193 __isl_give MULTI(BASE) *FN(MULTI(BASE),set_dim_name)(
194 __isl_take MULTI(BASE) *multi,
195 enum isl_dim_type type, unsigned pos, const char *s)
196 {
197 int i;
198
199 multi = FN(MULTI(BASE),cow)(multi);
200 if (!multi)
201 return NULL;
202
203 multi->space = isl_space_set_dim_name(multi->space, type, pos, s);
204 if (!multi->space)
205 return FN(MULTI(BASE),free)(multi);
206
207 if (type == isl_dim_out)
208 return multi;
209 for (i = 0; i < multi->n; ++i) {
210 multi->p[i] = FN(EL,set_dim_name)(multi->p[i], type, pos, s);
211 if (!multi->p[i])
212 return FN(MULTI(BASE),free)(multi);
213 }
214
215 return multi;
216 }
217
218 const char *FN(MULTI(BASE),get_tuple_name)(__isl_keep MULTI(BASE) *multi,
219 enum isl_dim_type type)
220 {
221 return multi ? isl_space_get_tuple_name(multi->space, type) : NULL;
222 }
223
224 /* Does the specified tuple have an id?
225 */
226 int FN(MULTI(BASE),has_tuple_id)(__isl_keep MULTI(BASE) *multi,
227 enum isl_dim_type type)
228 {
229 return multi ? isl_space_has_tuple_id(multi->space, type) : -1;
230 }
231
232 /* Return the id of the specified tuple.
233 */
234 __isl_give isl_id *FN(MULTI(BASE),get_tuple_id)(__isl_keep MULTI(BASE) *multi,
235 enum isl_dim_type type)
236 {
237 return multi ? isl_space_get_tuple_id(multi->space, type) : NULL;
238 }
239
240 __isl_give EL *FN(FN(MULTI(BASE),get),BASE)(__isl_keep MULTI(BASE) *multi,
241 int pos)
242 {
243 isl_ctx *ctx;
244
245 if (!multi)
246 return NULL;
247 ctx = FN(MULTI(BASE),get_ctx)(multi);
248 if (pos < 0 || pos >= multi->n)
249 isl_die(ctx, isl_error_invalid,
250 "index out of bounds", return NULL);
251 return FN(EL,copy)(multi->p[pos]);
252 }
253
254 __isl_give MULTI(BASE) *FN(FN(MULTI(BASE),set),BASE)(
255 __isl_take MULTI(BASE) *multi, int pos, __isl_take EL *el)
256 {
257 isl_space *multi_space = NULL;
258 isl_space *el_space = NULL;
259 int match;
260
261 multi = FN(MULTI(BASE),cow)(multi);
262 if (!multi || !el)
263 goto error;
264
265 multi_space = FN(MULTI(BASE),get_space)(multi);
266 match = FN(EL,matching_params)(el, multi_space);
267 if (match < 0)
268 goto error;
269 if (!match) {
270 multi = FN(MULTI(BASE),align_params)(multi,
271 FN(EL,get_space)(el));
272 isl_space_free(multi_space);
273 multi_space = FN(MULTI(BASE),get_space)(multi);
274 el = FN(EL,align_params)(el, isl_space_copy(multi_space));
275 }
276 if (FN(EL,check_match_domain_space)(el, multi_space) < 0)
277 goto error;
278
279 if (pos < 0 || pos >= multi->n)
280 isl_die(FN(MULTI(BASE),get_ctx)(multi), isl_error_invalid,
281 "index out of bounds", goto error);
282
283 FN(EL,free)(multi->p[pos]);
284 multi->p[pos] = el;
285
286 isl_space_free(multi_space);
287 isl_space_free(el_space);
288
289 return multi;
290 error:
291 FN(MULTI(BASE),free)(multi);
292 FN(EL,free)(el);
293 isl_space_free(multi_space);
294 isl_space_free(el_space);
295 return NULL;
296 }
297
298 /* Reset the space of "multi". This function is called from isl_pw_templ.c
299 * and doesn't know if the space of an element object is represented
300 * directly or through its domain. It therefore passes along both,
301 * which we pass along to the element function since we don't how
302 * that is represented either.
303 */
304 __isl_give MULTI(BASE) *FN(MULTI(BASE),reset_space_and_domain)(
305 __isl_take MULTI(BASE) *multi, __isl_take isl_space *space,
306 __isl_take isl_space *domain)
307 {
308 int i;
309
310 multi = FN(MULTI(BASE),cow)(multi);
311 if (!multi || !space || !domain)
312 goto error;
313
314 for (i = 0; i < multi->n; ++i) {
315 multi->p[i] = FN(EL,reset_domain_space)(multi->p[i],
316 isl_space_copy(domain));
317 if (!multi->p[i])
318 goto error;
319 }
320 isl_space_free(domain);
321 isl_space_free(multi->space);
322 multi->space = space;
323
324 return multi;
325 error:
326 isl_space_free(domain);
327 isl_space_free(space);
328 FN(MULTI(BASE),free)(multi);
329 return NULL;
330 }
331
332 __isl_give MULTI(BASE) *FN(MULTI(BASE),reset_domain_space)(
333 __isl_take MULTI(BASE) *multi, __isl_take isl_space *domain)
334 {
335 isl_space *space;
336
337 space = isl_space_extend_domain_with_range(isl_space_copy(domain),
338 isl_space_copy(multi->space));
339 return FN(MULTI(BASE),reset_space_and_domain)(multi, space, domain);
340 }
341
342 __isl_give MULTI(BASE) *FN(MULTI(BASE),reset_space)(
343 __isl_take MULTI(BASE) *multi, __isl_take isl_space *space)
344 {
345 isl_space *domain;
346
347 domain = isl_space_domain(isl_space_copy(space));
348 return FN(MULTI(BASE),reset_space_and_domain)(multi, space, domain);
349 }
350
351 /* Set the id of the given dimension of "multi" to "id".
352 */
353 __isl_give MULTI(BASE) *FN(MULTI(BASE),set_dim_id)(
354 __isl_take MULTI(BASE) *multi,
355 enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
356 {
357 isl_space *space;
358
359 multi = FN(MULTI(BASE),cow)(multi);
360 if (!multi || !id)
361 goto error;
362
363 space = FN(MULTI(BASE),get_space)(multi);
364 space = isl_space_set_dim_id(space, type, pos, id);
365
366 return FN(MULTI(BASE),reset_space)(multi, space);
367 error:
368 isl_id_free(id);
369 FN(MULTI(BASE),free)(multi);
370 return NULL;
371 }
372
373 __isl_give MULTI(BASE) *FN(MULTI(BASE),set_tuple_name)(
374 __isl_keep MULTI(BASE) *multi, enum isl_dim_type type,
375 const char *s)
376 {
377 isl_space *space;
378
379 multi = FN(MULTI(BASE),cow)(multi);
380 if (!multi)
381 return NULL;
382
383 space = FN(MULTI(BASE),get_space)(multi);
384 space = isl_space_set_tuple_name(space, type, s);
385
386 return FN(MULTI(BASE),reset_space)(multi, space);
387 }
388
389 __isl_give MULTI(BASE) *FN(MULTI(BASE),set_tuple_id)(
390 __isl_take MULTI(BASE) *multi, enum isl_dim_type type,
391 __isl_take isl_id *id)
392 {
393 isl_space *space;
394
395 multi = FN(MULTI(BASE),cow)(multi);
396 if (!multi)
397 return isl_id_free(id);
398
399 space = FN(MULTI(BASE),get_space)(multi);
400 space = isl_space_set_tuple_id(space, type, id);
401
402 return FN(MULTI(BASE),reset_space)(multi, space);
403 }
404
405 /* Drop the id on the specified tuple.
406 */
407 __isl_give MULTI(BASE) *FN(MULTI(BASE),reset_tuple_id)(
408 __isl_take MULTI(BASE) *multi, enum isl_dim_type type)
409 {
410 isl_space *space;
411
412 if (!multi)
413 return NULL;
414 if (!FN(MULTI(BASE),has_tuple_id)(multi, type))
415 return multi;
416
417 multi = FN(MULTI(BASE),cow)(multi);
418 if (!multi)
419 return NULL;
420
421 space = FN(MULTI(BASE),get_space)(multi);
422 space = isl_space_reset_tuple_id(space, type);
423
424 return FN(MULTI(BASE),reset_space)(multi, space);
425 }
426
427 __isl_give MULTI(BASE) *FN(MULTI(BASE),realign_domain)(
428 __isl_take MULTI(BASE) *multi, __isl_take isl_reordering *exp)
429 {
430 int i;
431
432 multi = FN(MULTI(BASE),cow)(multi);
433 if (!multi || !exp)
434 goto error;
435
436 for (i = 0; i < multi->n; ++i) {
437 multi->p[i] = FN(EL,realign_domain)(multi->p[i],
438 isl_reordering_copy(exp));
439 if (!multi->p[i])
440 goto error;
441 }
442
443 multi = FN(MULTI(BASE),reset_domain_space)(multi,
444 isl_space_copy(exp->dim));
445
446 isl_reordering_free(exp);
447 return multi;
448 error:
449 isl_reordering_free(exp);
450 FN(MULTI(BASE),free)(multi);
451 return NULL;
452 }
453
454 /* Align the parameters of "multi" to those of "model".
455 */
456 __isl_give MULTI(BASE) *FN(MULTI(BASE),align_params)(
457 __isl_take MULTI(BASE) *multi, __isl_take isl_space *model)
458 {
459 isl_ctx *ctx;
460
461 if (!multi || !model)
462 goto error;
463
464 ctx = isl_space_get_ctx(model);
465 if (!isl_space_has_named_params(model))
466 isl_die(ctx, isl_error_invalid,
467 "model has unnamed parameters", goto error);
468 if (!isl_space_has_named_params(multi->space))
469 isl_die(ctx, isl_error_invalid,
470 "input has unnamed parameters", goto error);
471 if (!isl_space_match(multi->space, isl_dim_param,
472 model, isl_dim_param)) {
473 isl_reordering *exp;
474
475 model = isl_space_params(model);
476 exp = isl_parameter_alignment_reordering(multi->space, model);
477 exp = isl_reordering_extend_space(exp,
478 FN(MULTI(BASE),get_domain_space)(multi));
479 multi = FN(MULTI(BASE),realign_domain)(multi, exp);
480 }
481
482 isl_space_free(model);
483 return multi;
484 error:
485 isl_space_free(model);
486 FN(MULTI(BASE),free)(multi);
487 return NULL;
488 }
489
490 #ifndef NO_GIST
491 static __isl_give MULTI(BASE) *FN(MULTI(BASE),align_params_multi_set_and)(
492 __isl_take MULTI(BASE) *multi, __isl_take isl_set *set,
493 __isl_give MULTI(BASE) *(*fn)(__isl_take MULTI(BASE) *multi,
494 __isl_take isl_set *set))
495 {
496 isl_ctx *ctx;
497
498 if (!multi || !set)
499 goto error;
500 if (isl_space_match(multi->space, isl_dim_param,
501 set->dim, isl_dim_param))
502 return fn(multi, set);
503 ctx = FN(MULTI(BASE),get_ctx)(multi);
504 if (!isl_space_has_named_params(multi->space) ||
505 !isl_space_has_named_params(set->dim))
506 isl_die(ctx, isl_error_invalid,
507 "unaligned unnamed parameters", goto error);
508 multi = FN(MULTI(BASE),align_params)(multi, isl_set_get_space(set));
509 set = isl_set_align_params(set, FN(MULTI(BASE),get_space)(multi));
510 return fn(multi, set);
511 error:
512 FN(MULTI(BASE),free)(multi);
513 isl_set_free(set);
514 return NULL;
515 }
516
517 __isl_give MULTI(BASE) *FN(MULTI(BASE),gist_aligned)(
518 __isl_take MULTI(BASE) *multi, __isl_take isl_set *context)
519 {
520 int i;
521
522 multi = FN(MULTI(BASE),cow)(multi);
523 if (!multi || !context)
524 goto error;
525
526 for (i = 0; i < multi->n; ++i) {
527 multi->p[i] = FN(EL,gist)(multi->p[i], isl_set_copy(context));
528 if (!multi->p[i])
529 goto error;
530 }
531
532 isl_set_free(context);
533 return multi;
534 error:
535 isl_set_free(context);
536 FN(MULTI(BASE),free)(multi);
537 return NULL;
538 }
539
540 __isl_give MULTI(BASE) *FN(MULTI(BASE),gist)(__isl_take MULTI(BASE) *multi,
541 __isl_take isl_set *context)
542 {
543 return FN(MULTI(BASE),align_params_multi_set_and)(multi, context,
544 &FN(MULTI(BASE),gist_aligned));
545 }
546
547 __isl_give MULTI(BASE) *FN(MULTI(BASE),gist_params)(
548 __isl_take MULTI(BASE) *multi, __isl_take isl_set *context)
549 {
550 isl_space *space = FN(MULTI(BASE),get_domain_space)(multi);
551 isl_set *dom_context = isl_set_universe(space);
552 dom_context = isl_set_intersect_params(dom_context, context);
553 return FN(MULTI(BASE),gist)(multi, dom_context);
554 }
555 #endif
556
557 __isl_give MULTI(BASE) *FN(FN(MULTI(BASE),from),LIST(BASE))(
558 __isl_take isl_space *space, __isl_take LIST(EL) *list)
559 {
560 int i;
561 int n;
562 isl_ctx *ctx;
563 MULTI(BASE) *multi;
564
565 if (!space || !list)
566 goto error;
567
568 ctx = isl_space_get_ctx(space);
569 n = FN(FN(LIST(EL),n),BASE)(list);
570 if (n != isl_space_dim(space, isl_dim_out))
571 isl_die(ctx, isl_error_invalid,
572 "invalid number of elements in list", goto error);
573
574 multi = FN(MULTI(BASE),alloc)(isl_space_copy(space));
575 for (i = 0; i < n; ++i) {
576 multi = FN(FN(MULTI(BASE),set),BASE)(multi, i,
577 FN(FN(LIST(EL),get),BASE)(list, i));
578 }
579
580 isl_space_free(space);
581 FN(LIST(EL),free)(list);
582 return multi;
583 error:
584 isl_space_free(space);
585 FN(LIST(EL),free)(list);
586 return NULL;
587 }
588
589 #ifndef NO_IDENTITY
590 /* Create a multi expression in the given space that maps each
591 * input dimension to the corresponding output dimension.
592 */
593 __isl_give MULTI(BASE) *FN(MULTI(BASE),identity)(__isl_take isl_space *space)
594 {
595 int i, n;
596 isl_local_space *ls;
597 MULTI(BASE) *multi;
598
599 if (!space)
600 return NULL;
601
602 if (isl_space_is_set(space))
603 isl_die(isl_space_get_ctx(space), isl_error_invalid,
604 "expecting map space", goto error);
605
606 n = isl_space_dim(space, isl_dim_out);
607 if (n != isl_space_dim(space, isl_dim_in))
608 isl_die(isl_space_get_ctx(space), isl_error_invalid,
609 "number of input and output dimensions needs to be "
610 "the same", goto error);
611
612 multi = FN(MULTI(BASE),alloc)(isl_space_copy(space));
613
614 if (!n) {
615 isl_space_free(space);
616 return multi;
617 }
618
619 space = isl_space_domain(space);
620 ls = isl_local_space_from_space(space);
621
622 for (i = 0; i < n; ++i) {
623 EL *el;
624 el = FN(EL,var_on_domain)(isl_local_space_copy(ls),
625 isl_dim_set, i);
626 multi = FN(FN(MULTI(BASE),set),BASE)(multi, i, el);
627 }
628
629 isl_local_space_free(ls);
630
631 return multi;
632 error:
633 isl_space_free(space);
634 return NULL;
635 }
636 #endif
637
638 /* Construct a multi expression in the given space with value zero in
639 * each of the output dimensions.
640 */
641 __isl_give MULTI(BASE) *FN(MULTI(BASE),zero)(__isl_take isl_space *space)
642 {
643 int n;
644 MULTI(BASE) *multi;
645
646 if (!space)
647 return NULL;
648
649 n = isl_space_dim(space , isl_dim_out);
650 multi = FN(MULTI(BASE),alloc)(isl_space_copy(space));
651
652 if (!n)
653 isl_space_free(space);
654 else {
655 int i;
656 isl_local_space *ls;
657 EL *el;
658
659 space = isl_space_domain(space);
660 ls = isl_local_space_from_space(space);
661 el = FN(EL,zero_on_domain)(ls);
662
663 for (i = 0; i < n; ++i)
664 multi = FN(FN(MULTI(BASE),set),BASE)(multi, i,
665 FN(EL,copy)(el));
666
667 FN(EL,free)(el);
668 }
669
670 return multi;
671 }
672
673 #ifndef NO_FROM_BASE
674 __isl_give MULTI(BASE) *FN(FN(MULTI(BASE),from),BASE)(__isl_take EL *el)
675 {
676 MULTI(BASE) *multi;
677
678 multi = FN(MULTI(BASE),alloc)(FN(EL,get_space)(el));
679 multi = FN(FN(MULTI(BASE),set),BASE)(multi, 0, el);
680
681 return multi;
682 }
683 #endif
684
685 __isl_give MULTI(BASE) *FN(MULTI(BASE),drop_dims)(
686 __isl_take MULTI(BASE) *multi,
687 enum isl_dim_type type, unsigned first, unsigned n)
688 {
689 int i;
690 unsigned dim;
691
692 multi = FN(MULTI(BASE),cow)(multi);
693 if (!multi)
694 return NULL;
695
696 dim = FN(MULTI(BASE),dim)(multi, type);
697 if (first + n > dim || first + n < first)
698 isl_die(FN(MULTI(BASE),get_ctx)(multi), isl_error_invalid,
699 "index out of bounds",
700 return FN(MULTI(BASE),cow)(multi));
701
702 multi->space = isl_space_drop_dims(multi->space, type, first, n);
703 if (!multi->space)
704 return FN(MULTI(BASE),cow)(multi);
705
706 if (type == isl_dim_out) {
707 for (i = 0; i < n; ++i)
708 FN(EL,free)(multi->p[first + i]);
709 for (i = first; i + n < multi->n; ++i)
710 multi->p[i] = multi->p[i + n];
711 multi->n -= n;
712
713 return multi;
714 }
715
716 for (i = 0; i < multi->n; ++i) {
717 multi->p[i] = FN(EL,drop_dims)(multi->p[i], type, first, n);
718 if (!multi->p[i])
719 return FN(MULTI(BASE),cow)(multi);
720 }
721
722 return multi;
723 }
724
725 /* Align the parameters of "multi1" and "multi2" (if needed) and call "fn".
726 */
727 static __isl_give MULTI(BASE) *FN(MULTI(BASE),align_params_multi_multi_and)(
728 __isl_take MULTI(BASE) *multi1, __isl_take MULTI(BASE) *multi2,
729 __isl_give MULTI(BASE) *(*fn)(__isl_take MULTI(BASE) *multi1,
730 __isl_take MULTI(BASE) *multi2))
731 {
732 isl_ctx *ctx;
733
734 if (!multi1 || !multi2)
735 goto error;
736 if (isl_space_match(multi1->space, isl_dim_param,
737 multi2->space, isl_dim_param))
738 return fn(multi1, multi2);
739 ctx = FN(MULTI(BASE),get_ctx)(multi1);
740 if (!isl_space_has_named_params(multi1->space) ||
741 !isl_space_has_named_params(multi2->space))
742 isl_die(ctx, isl_error_invalid,
743 "unaligned unnamed parameters", goto error);
744 multi1 = FN(MULTI(BASE),align_params)(multi1,
745 FN(MULTI(BASE),get_space)(multi2));
746 multi2 = FN(MULTI(BASE),align_params)(multi2,
747 FN(MULTI(BASE),get_space)(multi1));
748 return fn(multi1, multi2);
749 error:
750 FN(MULTI(BASE),free)(multi1);
751 FN(MULTI(BASE),free)(multi2);
752 return NULL;
753 }
754
755 /* Given two MULTI(BASE)s A -> B and C -> D,
756 * construct a MULTI(BASE) (A * C) -> (B, D).
757 *
758 * The parameters are assumed to have been aligned.
759 */
760 static __isl_give MULTI(BASE) *FN(MULTI(BASE),range_product_aligned)(
761 __isl_take MULTI(BASE) *multi1, __isl_take MULTI(BASE) *multi2)
762 {
763 int i, n1, n2;
764 EL *el;
765 isl_space *space;
766 MULTI(BASE) *res;
767
768 if (!multi1 || !multi2)
769 goto error;
770
771 space = isl_space_range_product(FN(MULTI(BASE),get_space)(multi1),
772 FN(MULTI(BASE),get_space)(multi2));
773 res = FN(MULTI(BASE),alloc)(space);
774
775 n1 = FN(MULTI(BASE),dim)(multi1, isl_dim_out);
776 n2 = FN(MULTI(BASE),dim)(multi2, isl_dim_out);
777
778 for (i = 0; i < n1; ++i) {
779 el = FN(FN(MULTI(BASE),get),BASE)(multi1, i);
780 res = FN(FN(MULTI(BASE),set),BASE)(res, i, el);
781 }
782
783 for (i = 0; i < n2; ++i) {
784 el = FN(FN(MULTI(BASE),get),BASE)(multi2, i);
785 res = FN(FN(MULTI(BASE),set),BASE)(res, n1 + i, el);
786 }
787
788 FN(MULTI(BASE),free)(multi1);
789 FN(MULTI(BASE),free)(multi2);
790 return res;
791 error:
792 FN(MULTI(BASE),free)(multi1);
793 FN(MULTI(BASE),free)(multi2);
794 return NULL;
795 }
796
797 /* Given two MULTI(BASE)s A -> B and C -> D,
798 * construct a MULTI(BASE) (A * C) -> (B, D).
799 */
800 __isl_give MULTI(BASE) *FN(MULTI(BASE),range_product)(
801 __isl_take MULTI(BASE) *multi1, __isl_take MULTI(BASE) *multi2)
802 {
803 return FN(MULTI(BASE),align_params_multi_multi_and)(multi1, multi2,
804 &FN(MULTI(BASE),range_product_aligned));
805 }
806
807 /* Given two MULTI(BASE)s A -> B and C -> D,
808 * construct a MULTI(BASE) [A -> C] -> [B -> D].
809 *
810 * The parameters are assumed to have been aligned.
811 */
812 __isl_give MULTI(BASE) *FN(MULTI(BASE),product_aligned)(
813 __isl_take MULTI(BASE) *multi1, __isl_take MULTI(BASE) *multi2)
814 {
815 int i;
816 EL *el;
817 isl_space *space;
818 MULTI(BASE) *res;
819 int in1, in2, out1, out2;
820
821 in1 = FN(MULTI(BASE),dim)(multi1, isl_dim_in);
822 in2 = FN(MULTI(BASE),dim)(multi2, isl_dim_in);
823 out1 = FN(MULTI(BASE),dim)(multi1, isl_dim_out);
824 out2 = FN(MULTI(BASE),dim)(multi2, isl_dim_out);
825 space = isl_space_product(FN(MULTI(BASE),get_space)(multi1),
826 FN(MULTI(BASE),get_space)(multi2));
827 res = FN(MULTI(BASE),alloc)(isl_space_copy(space));
828 space = isl_space_domain(space);
829
830 for (i = 0; i < out1; ++i) {
831 el = FN(FN(MULTI(BASE),get),BASE)(multi1, i);
832 el = FN(EL,insert_dims)(el, isl_dim_in, in1, in2);
833 el = FN(EL,reset_domain_space)(el, isl_space_copy(space));
834 res = FN(FN(MULTI(BASE),set),BASE)(res, i, el);
835 }
836
837 for (i = 0; i < out2; ++i) {
838 el = FN(FN(MULTI(BASE),get),BASE)(multi2, i);
839 el = FN(EL,insert_dims)(el, isl_dim_in, 0, in1);
840 el = FN(EL,reset_domain_space)(el, isl_space_copy(space));
841 res = FN(FN(MULTI(BASE),set),BASE)(res, out1 + i, el);
842 }
843
844 isl_space_free(space);
845 FN(MULTI(BASE),free)(multi1);
846 FN(MULTI(BASE),free)(multi2);
847 return res;
848 }
849
850 /* Given two MULTI(BASE)s A -> B and C -> D,
851 * construct a MULTI(BASE) [A -> C] -> [B -> D].
852 */
853 __isl_give MULTI(BASE) *FN(MULTI(BASE),product)(
854 __isl_take MULTI(BASE) *multi1, __isl_take MULTI(BASE) *multi2)
855 {
856 return FN(MULTI(BASE),align_params_multi_multi_and)(multi1, multi2,
857 &FN(MULTI(BASE),product_aligned));
858 }
859
860 __isl_give MULTI(BASE) *FN(MULTI(BASE),flatten_range)(
861 __isl_take MULTI(BASE) *multi)
862 {
863 if (!multi)
864 return NULL;
865
866 if (!multi->space->nested[1])
867 return multi;
868
869 multi = FN(MULTI(BASE),cow)(multi);
870 if (!multi)
871 return NULL;
872
873 multi->space = isl_space_flatten_range(multi->space);
874 if (!multi->space)
875 return FN(MULTI(BASE),free)(multi);
876
877 return multi;
878 }
879
880 /* Given two MULTI(BASE)s A -> B and C -> D,
881 * construct a MULTI(BASE) (A * C) -> [B -> D].
882 */
883 __isl_give MULTI(BASE) *FN(MULTI(BASE),flat_range_product)(
884 __isl_take MULTI(BASE) *multi1, __isl_take MULTI(BASE) *multi2)
885 {
886 MULTI(BASE) *multi;
887
888 multi = FN(MULTI(BASE),range_product)(multi1, multi2);
889 multi = FN(MULTI(BASE),flatten_range)(multi);
890 return multi;
891 }
892
893 /* Given two multi expressions, "multi1"
894 *
895 * [A] -> [B1 B2]
896 *
897 * where B2 starts at position "pos", and "multi2"
898 *
899 * [A] -> [D]
900 *
901 * return the multi expression
902 *
903 * [A] -> [B1 D B2]
904 */
905 __isl_give MULTI(BASE) *FN(MULTI(BASE),range_splice)(
906 __isl_take MULTI(BASE) *multi1, unsigned pos,
907 __isl_take MULTI(BASE) *multi2)
908 {
909 MULTI(BASE) *res;
910 unsigned dim;
911
912 if (!multi1 || !multi2)
913 goto error;
914
915 dim = FN(MULTI(BASE),dim)(multi1, isl_dim_out);
916 if (pos > dim)
917 isl_die(FN(MULTI(BASE),get_ctx)(multi1), isl_error_invalid,
918 "index out of bounds", goto error);
919
920 res = FN(MULTI(BASE),copy)(multi1);
921 res = FN(MULTI(BASE),drop_dims)(res, isl_dim_out, pos, dim - pos);
922 multi1 = FN(MULTI(BASE),drop_dims)(multi1, isl_dim_out, 0, pos);
923
924 res = FN(MULTI(BASE),flat_range_product)(res, multi2);
925 res = FN(MULTI(BASE),flat_range_product)(res, multi1);
926
927 return res;
928 error:
929 FN(MULTI(BASE),free)(multi1);
930 FN(MULTI(BASE),free)(multi2);
931 return NULL;
932 }
933
934 /* Given two multi expressions, "multi1"
935 *
936 * [A1 A2] -> [B1 B2]
937 *
938 * where A2 starts at position "in_pos" and B2 starts at position "out_pos",
939 * and "multi2"
940 *
941 * [C] -> [D]
942 *
943 * return the multi expression
944 *
945 * [A1 C A2] -> [B1 D B2]
946 *
947 * We first insert input dimensions to obtain
948 *
949 * [A1 C A2] -> [B1 B2]
950 *
951 * and
952 *
953 * [A1 C A2] -> [D]
954 *
955 * and then apply range_splice.
956 */
957 __isl_give MULTI(BASE) *FN(MULTI(BASE),splice)(
958 __isl_take MULTI(BASE) *multi1, unsigned in_pos, unsigned out_pos,
959 __isl_take MULTI(BASE) *multi2)
960 {
961 unsigned n_in1;
962 unsigned n_in2;
963
964 if (!multi1 || !multi2)
965 goto error;
966
967 n_in1 = FN(MULTI(BASE),dim)(multi1, isl_dim_in);
968 if (in_pos > n_in1)
969 isl_die(FN(MULTI(BASE),get_ctx)(multi1), isl_error_invalid,
970 "index out of bounds", goto error);
971
972 n_in2 = FN(MULTI(BASE),dim)(multi2, isl_dim_in);
973
974 multi1 = FN(MULTI(BASE),insert_dims)(multi1, isl_dim_in, in_pos, n_in2);
975 multi2 = FN(MULTI(BASE),insert_dims)(multi2, isl_dim_in, n_in2,
976 n_in1 - in_pos);
977 multi2 = FN(MULTI(BASE),insert_dims)(multi2, isl_dim_in, 0, in_pos);
978
979 return FN(MULTI(BASE),range_splice)(multi1, out_pos, multi2);
980 error:
981 FN(MULTI(BASE),free)(multi1);
982 FN(MULTI(BASE),free)(multi2);
983 return NULL;
984 }
985
986 /* This function is currently only used from isl_aff.c
987 */
988 static __isl_give MULTI(BASE) *FN(MULTI(BASE),bin_op)(
989 __isl_take MULTI(BASE) *multi1, __isl_take MULTI(BASE) *multi2,
990 __isl_give EL *(*fn)(__isl_take EL *, __isl_take EL *))
991 __attribute__ ((unused));
992
993 /* Pairwise perform "fn" to the elements of "multi1" and "multi2" and
994 * return the result.
995 */
996 static __isl_give MULTI(BASE) *FN(MULTI(BASE),bin_op)(
997 __isl_take MULTI(BASE) *multi1, __isl_take MULTI(BASE) *multi2,
998 __isl_give EL *(*fn)(__isl_take EL *, __isl_take EL *))
999 {
1000 int i;
1001 isl_ctx *ctx;
1002
1003 multi1 = FN(MULTI(BASE),cow)(multi1);
1004 if (!multi1 || !multi2)
1005 goto error;
1006
1007 ctx = FN(MULTI(BASE),get_ctx)(multi1);
1008 if (!isl_space_is_equal(multi1->space, multi2->space))
1009 isl_die(ctx, isl_error_invalid,
1010 "spaces don't match", goto error);
1011
1012 for (i = 0; i < multi1->n; ++i) {
1013 multi1->p[i] = fn(multi1->p[i], FN(EL,copy)(multi2->p[i]));
1014 if (!multi1->p[i])
1015 goto error;
1016 }
1017
1018 FN(MULTI(BASE),free)(multi2);
1019 return multi1;
1020 error:
1021 FN(MULTI(BASE),free)(multi1);
1022 FN(MULTI(BASE),free)(multi2);
1023 return NULL;
1024 }
1025
1026 /* Multiply the elements of "multi" by "v" and return the result.
1027 */
1028 __isl_give MULTI(BASE) *FN(MULTI(BASE),scale_val)(__isl_take MULTI(BASE) *multi,
1029 __isl_take isl_val *v)
1030 {
1031 int i;
1032
1033 if (!multi || !v)
1034 goto error;
1035
1036 if (isl_val_is_one(v)) {
1037 isl_val_free(v);
1038 return multi;
1039 }
1040
1041 if (!isl_val_is_rat(v))
1042 isl_die(isl_val_get_ctx(v), isl_error_invalid,
1043 "expecting rational factor", goto error);
1044
1045 multi = FN(MULTI(BASE),cow)(multi);
1046 if (!multi)
1047 return NULL;
1048
1049 for (i = 0; i < multi->n; ++i) {
1050 multi->p[i] = FN(EL,scale_val)(multi->p[i], isl_val_copy(v));
1051 if (!multi->p[i])
1052 goto error;
1053 }
1054
1055 isl_val_free(v);
1056 return multi;
1057 error:
1058 isl_val_free(v);
1059 return FN(MULTI(BASE),free)(multi);
1060 }
1061
1062 /* Multiply the elements of "multi" by the corresponding element of "mv"
1063 * and return the result.
1064 */
1065 __isl_give MULTI(BASE) *FN(MULTI(BASE),scale_multi_val)(
1066 __isl_take MULTI(BASE) *multi, __isl_take isl_multi_val *mv)
1067 {
1068 int i;
1069
1070 if (!multi || !mv)
1071 goto error;
1072
1073 if (!isl_space_tuple_match(multi->space, isl_dim_out,
1074 mv->space, isl_dim_set))
1075 isl_die(isl_multi_val_get_ctx(mv), isl_error_invalid,
1076 "spaces don't match", goto error);
1077
1078 multi = FN(MULTI(BASE),cow)(multi);
1079 if (!multi)
1080 return NULL;
1081
1082 for (i = 0; i < multi->n; ++i) {
1083 isl_val *v;
1084
1085 v = isl_multi_val_get_val(mv, i);
1086 multi->p[i] = FN(EL,scale_val)(multi->p[i], v);
1087 if (!multi->p[i])
1088 goto error;
1089 }
1090
1091 isl_multi_val_free(mv);
1092 return multi;
1093 error:
1094 isl_multi_val_free(mv);
1095 return FN(MULTI(BASE),free)(multi);
1096 }
1097
1098 /* Divide the elements of "multi" by the corresponding element of "mv"
1099 * and return the result.
1100 */
1101 __isl_give MULTI(BASE) *FN(MULTI(BASE),scale_down_multi_val)(
1102 __isl_take MULTI(BASE) *multi, __isl_take isl_multi_val *mv)
1103 {
1104 int i;
1105
1106 if (!multi || !mv)
1107 goto error;
1108
1109 if (!isl_space_tuple_match(multi->space, isl_dim_out,
1110 mv->space, isl_dim_set))
1111 isl_die(isl_multi_val_get_ctx(mv), isl_error_invalid,
1112 "spaces don't match", goto error);
1113
1114 multi = FN(MULTI(BASE),cow)(multi);
1115 if (!multi)
1116 return NULL;
1117
1118 for (i = 0; i < multi->n; ++i) {
1119 isl_val *v;
1120
1121 v = isl_multi_val_get_val(mv, i);
1122 multi->p[i] = FN(EL,scale_down_val)(multi->p[i], v);
1123 if (!multi->p[i])
1124 goto error;
1125 }
1126
1127 isl_multi_val_free(mv);
1128 return multi;
1129 error:
1130 isl_multi_val_free(mv);
1131 return FN(MULTI(BASE),free)(multi);
1132 }
1133
1134 #ifndef NO_MOVE_DIMS
1135 /* Move the "n" dimensions of "src_type" starting at "src_pos" of "multi"
1136 * to dimensions of "dst_type" at "dst_pos".
1137 *
1138 * We only support moving input dimensions to parameters and vice versa.
1139 */
1140 __isl_give MULTI(BASE) *FN(MULTI(BASE),move_dims)(__isl_take MULTI(BASE) *multi,
1141 enum isl_dim_type dst_type, unsigned dst_pos,
1142 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1143 {
1144 int i;
1145
1146 if (!multi)
1147 return NULL;
1148
1149 if (n == 0 &&
1150 !isl_space_is_named_or_nested(multi->space, src_type) &&
1151 !isl_space_is_named_or_nested(multi->space, dst_type))
1152 return multi;
1153
1154 if (dst_type == isl_dim_out || src_type == isl_dim_out)
1155 isl_die(FN(MULTI(BASE),get_ctx)(multi), isl_error_invalid,
1156 "cannot move output/set dimension",
1157 return FN(MULTI(BASE),free)(multi));
1158 if (dst_type == isl_dim_div || src_type == isl_dim_div)
1159 isl_die(FN(MULTI(BASE),get_ctx)(multi), isl_error_invalid,
1160 "cannot move divs",
1161 return FN(MULTI(BASE),free)(multi));
1162 if (src_pos + n > isl_space_dim(multi->space, src_type))
1163 isl_die(FN(MULTI(BASE),get_ctx)(multi), isl_error_invalid,
1164 "range out of bounds",
1165 return FN(MULTI(BASE),free)(multi));
1166 if (dst_type == src_type)
1167 isl_die(FN(MULTI(BASE),get_ctx)(multi), isl_error_unsupported,
1168 "moving dims within the same type not supported",
1169 return FN(MULTI(BASE),free)(multi));
1170
1171 multi = FN(MULTI(BASE),cow)(multi);
1172 if (!multi)
1173 return NULL;
1174
1175 multi->space = isl_space_move_dims(multi->space, dst_type, dst_pos,
1176 src_type, src_pos, n);
1177 if (!multi->space)
1178 return FN(MULTI(BASE),free)(multi);
1179
1180 for (i = 0; i < multi->n; ++i) {
1181 multi->p[i] = FN(EL,move_dims)(multi->p[i], dst_type, dst_pos,
1182 src_type, src_pos, n);
1183 if (!multi->p[i])
1184 return FN(MULTI(BASE),free)(multi);
1185 }
1186
1187 return multi;
1188 }
1189 #endif
1190
1191 /* Convert a multiple expression defined over a parameter domain
1192 * into one that is defined over a zero-dimensional set.
1193 */
1194 __isl_give MULTI(BASE) *FN(MULTI(BASE),from_range)(
1195 __isl_take MULTI(BASE) *multi)
1196 {
1197 isl_space *space;
1198
1199 if (!multi)
1200 return NULL;
1201 if (!isl_space_is_set(multi->space))
1202 isl_die(FN(MULTI(BASE),get_ctx)(multi), isl_error_invalid,
1203 "not living in a set space",
1204 return FN(MULTI(BASE),free)(multi));
1205
1206 space = FN(MULTI(BASE),get_space)(multi);
1207 space = isl_space_from_range(space);
1208 multi = FN(MULTI(BASE),reset_space)(multi, space);
1209
1210 return multi;
1211 }
1212
1213 /* Are "multi1" and "multi2" obviously equal?
1214 */
1215 int FN(MULTI(BASE),plain_is_equal)(__isl_keep MULTI(BASE) *multi1,
1216 __isl_keep MULTI(BASE) *multi2)
1217 {
1218 int i;
1219 int equal;
1220
1221 if (!multi1 || !multi2)
1222 return -1;
1223 if (multi1->n != multi2->n)
1224 return 0;
1225 equal = isl_space_is_equal(multi1->space, multi2->space);
1226 if (equal < 0 || !equal)
1227 return equal;
1228
1229 for (i = 0; i < multi1->n; ++i) {
1230 equal = FN(EL,plain_is_equal)(multi1->p[i], multi2->p[i]);
1231 if (equal < 0 || !equal)
1232 return equal;
1233 }
1234
1235 return 1;
1236 }
Integer set library