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isl_map_simplify.c: isl_basic_map_eliminate_vars: drop redundant mark removal
[isl.git] / isl_space.c
blob3a6c2bd0d8347d66117db7348a4253c9e9a33114
1 /*
2 * Copyright 2008-2009 Katholieke Universiteit Leuven
3 * Copyright 2010 INRIA Saclay
4 * Copyright 2013-2014 Ecole Normale Superieure
5 *
6 * Use of this software is governed by the MIT license
7 *
8 * Written by Sven Verdoolaege, K.U.Leuven, Departement
9 * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
10 * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
11 * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
12 * and Ecole Normale Superieure, 45 rue d’Ulm, 75230 Paris, France
13 */
14
15 #include <stdlib.h>
16 #include <string.h>
17 #include <isl_space_private.h>
18 #include <isl_id_private.h>
19 #include <isl_reordering.h>
20
21 isl_ctx *isl_space_get_ctx(__isl_keep isl_space *dim)
22 {
23 return dim ? dim->ctx : NULL;
24 }
25
26 __isl_give isl_space *isl_space_alloc(isl_ctx *ctx,
27 unsigned nparam, unsigned n_in, unsigned n_out)
28 {
29 isl_space *dim;
30
31 dim = isl_alloc_type(ctx, struct isl_space);
32 if (!dim)
33 return NULL;
34
35 dim->ctx = ctx;
36 isl_ctx_ref(ctx);
37 dim->ref = 1;
38 dim->nparam = nparam;
39 dim->n_in = n_in;
40 dim->n_out = n_out;
41
42 dim->tuple_id[0] = NULL;
43 dim->tuple_id[1] = NULL;
44
45 dim->nested[0] = NULL;
46 dim->nested[1] = NULL;
47
48 dim->n_id = 0;
49 dim->ids = NULL;
50
51 return dim;
52 }
53
54 /* Mark the space as being that of a set, by setting the domain tuple
55 * to isl_id_none.
56 */
57 static __isl_give isl_space *mark_as_set(__isl_take isl_space *space)
58 {
59 space = isl_space_cow(space);
60 if (!space)
61 return NULL;
62 space = isl_space_set_tuple_id(space, isl_dim_in, &isl_id_none);
63 return space;
64 }
65
66 /* Is the space that of a set?
67 */
68 isl_bool isl_space_is_set(__isl_keep isl_space *space)
69 {
70 if (!space)
71 return isl_bool_error;
72 if (space->n_in != 0 || space->nested[0])
73 return isl_bool_false;
74 if (space->tuple_id[0] != &isl_id_none)
75 return isl_bool_false;
76 return isl_bool_true;
77 }
78
79 /* Is the given space that of a map?
80 */
81 isl_bool isl_space_is_map(__isl_keep isl_space *space)
82 {
83 if (!space)
84 return isl_bool_error;
85 return space->tuple_id[0] != &isl_id_none &&
86 space->tuple_id[1] != &isl_id_none;
87 }
88
89 __isl_give isl_space *isl_space_set_alloc(isl_ctx *ctx,
90 unsigned nparam, unsigned dim)
91 {
92 isl_space *space;
93 space = isl_space_alloc(ctx, nparam, 0, dim);
94 space = mark_as_set(space);
95 return space;
96 }
97
98 /* Mark the space as being that of a parameter domain, by setting
99 * both tuples to isl_id_none.
100 */
101 static __isl_give isl_space *mark_as_params(isl_space *space)
102 {
103 if (!space)
104 return NULL;
105 space = isl_space_set_tuple_id(space, isl_dim_in, &isl_id_none);
106 space = isl_space_set_tuple_id(space, isl_dim_out, &isl_id_none);
107 return space;
108 }
109
110 /* Is the space that of a parameter domain?
111 */
112 isl_bool isl_space_is_params(__isl_keep isl_space *space)
113 {
114 if (!space)
115 return isl_bool_error;
116 if (space->n_in != 0 || space->nested[0] ||
117 space->n_out != 0 || space->nested[1])
118 return isl_bool_false;
119 if (space->tuple_id[0] != &isl_id_none)
120 return isl_bool_false;
121 if (space->tuple_id[1] != &isl_id_none)
122 return isl_bool_false;
123 return isl_bool_true;
124 }
125
126 /* Create a space for a parameter domain.
127 */
128 __isl_give isl_space *isl_space_params_alloc(isl_ctx *ctx, unsigned nparam)
129 {
130 isl_space *space;
131 space = isl_space_alloc(ctx, nparam, 0, 0);
132 space = mark_as_params(space);
133 return space;
134 }
135
136 static unsigned global_pos(__isl_keep isl_space *dim,
137 enum isl_dim_type type, unsigned pos)
138 {
139 struct isl_ctx *ctx = dim->ctx;
140
141 switch (type) {
142 case isl_dim_param:
143 isl_assert(ctx, pos < dim->nparam,
144 return isl_space_dim(dim, isl_dim_all));
145 return pos;
146 case isl_dim_in:
147 isl_assert(ctx, pos < dim->n_in,
148 return isl_space_dim(dim, isl_dim_all));
149 return pos + dim->nparam;
150 case isl_dim_out:
151 isl_assert(ctx, pos < dim->n_out,
152 return isl_space_dim(dim, isl_dim_all));
153 return pos + dim->nparam + dim->n_in;
154 default:
155 isl_assert(ctx, 0, return isl_space_dim(dim, isl_dim_all));
156 }
157 return isl_space_dim(dim, isl_dim_all);
158 }
159
160 /* Extend length of ids array to the total number of dimensions.
161 */
162 static __isl_give isl_space *extend_ids(__isl_take isl_space *dim)
163 {
164 isl_id **ids;
165 int i;
166
167 if (isl_space_dim(dim, isl_dim_all) <= dim->n_id)
168 return dim;
169
170 if (!dim->ids) {
171 dim->ids = isl_calloc_array(dim->ctx,
172 isl_id *, isl_space_dim(dim, isl_dim_all));
173 if (!dim->ids)
174 goto error;
175 } else {
176 ids = isl_realloc_array(dim->ctx, dim->ids,
177 isl_id *, isl_space_dim(dim, isl_dim_all));
178 if (!ids)
179 goto error;
180 dim->ids = ids;
181 for (i = dim->n_id; i < isl_space_dim(dim, isl_dim_all); ++i)
182 dim->ids[i] = NULL;
183 }
184
185 dim->n_id = isl_space_dim(dim, isl_dim_all);
186
187 return dim;
188 error:
189 isl_space_free(dim);
190 return NULL;
191 }
192
193 static __isl_give isl_space *set_id(__isl_take isl_space *dim,
194 enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
195 {
196 dim = isl_space_cow(dim);
197
198 if (!dim)
199 goto error;
200
201 pos = global_pos(dim, type, pos);
202 if (pos == isl_space_dim(dim, isl_dim_all))
203 goto error;
204
205 if (pos >= dim->n_id) {
206 if (!id)
207 return dim;
208 dim = extend_ids(dim);
209 if (!dim)
210 goto error;
211 }
212
213 dim->ids[pos] = id;
214
215 return dim;
216 error:
217 isl_id_free(id);
218 isl_space_free(dim);
219 return NULL;
220 }
221
222 static __isl_keep isl_id *get_id(__isl_keep isl_space *dim,
223 enum isl_dim_type type, unsigned pos)
224 {
225 if (!dim)
226 return NULL;
227
228 pos = global_pos(dim, type, pos);
229 if (pos == isl_space_dim(dim, isl_dim_all))
230 return NULL;
231 if (pos >= dim->n_id)
232 return NULL;
233 return dim->ids[pos];
234 }
235
236 static unsigned offset(__isl_keep isl_space *dim, enum isl_dim_type type)
237 {
238 switch (type) {
239 case isl_dim_param: return 0;
240 case isl_dim_in: return dim->nparam;
241 case isl_dim_out: return dim->nparam + dim->n_in;
242 default: return 0;
243 }
244 }
245
246 static unsigned n(__isl_keep isl_space *dim, enum isl_dim_type type)
247 {
248 switch (type) {
249 case isl_dim_param: return dim->nparam;
250 case isl_dim_in: return dim->n_in;
251 case isl_dim_out: return dim->n_out;
252 case isl_dim_all: return dim->nparam + dim->n_in + dim->n_out;
253 default: return 0;
254 }
255 }
256
257 unsigned isl_space_dim(__isl_keep isl_space *dim, enum isl_dim_type type)
258 {
259 if (!dim)
260 return 0;
261 return n(dim, type);
262 }
263
264 unsigned isl_space_offset(__isl_keep isl_space *dim, enum isl_dim_type type)
265 {
266 if (!dim)
267 return 0;
268 return offset(dim, type);
269 }
270
271 static __isl_give isl_space *copy_ids(__isl_take isl_space *dst,
272 enum isl_dim_type dst_type, unsigned offset, __isl_keep isl_space *src,
273 enum isl_dim_type src_type)
274 {
275 int i;
276 isl_id *id;
277
278 if (!dst)
279 return NULL;
280
281 for (i = 0; i < n(src, src_type); ++i) {
282 id = get_id(src, src_type, i);
283 if (!id)
284 continue;
285 dst = set_id(dst, dst_type, offset + i, isl_id_copy(id));
286 if (!dst)
287 return NULL;
288 }
289 return dst;
290 }
291
292 __isl_take isl_space *isl_space_dup(__isl_keep isl_space *dim)
293 {
294 isl_space *dup;
295 if (!dim)
296 return NULL;
297 dup = isl_space_alloc(dim->ctx, dim->nparam, dim->n_in, dim->n_out);
298 if (!dup)
299 return NULL;
300 if (dim->tuple_id[0] &&
301 !(dup->tuple_id[0] = isl_id_copy(dim->tuple_id[0])))
302 goto error;
303 if (dim->tuple_id[1] &&
304 !(dup->tuple_id[1] = isl_id_copy(dim->tuple_id[1])))
305 goto error;
306 if (dim->nested[0] && !(dup->nested[0] = isl_space_copy(dim->nested[0])))
307 goto error;
308 if (dim->nested[1] && !(dup->nested[1] = isl_space_copy(dim->nested[1])))
309 goto error;
310 if (!dim->ids)
311 return dup;
312 dup = copy_ids(dup, isl_dim_param, 0, dim, isl_dim_param);
313 dup = copy_ids(dup, isl_dim_in, 0, dim, isl_dim_in);
314 dup = copy_ids(dup, isl_dim_out, 0, dim, isl_dim_out);
315 return dup;
316 error:
317 isl_space_free(dup);
318 return NULL;
319 }
320
321 __isl_give isl_space *isl_space_cow(__isl_take isl_space *dim)
322 {
323 if (!dim)
324 return NULL;
325
326 if (dim->ref == 1)
327 return dim;
328 dim->ref--;
329 return isl_space_dup(dim);
330 }
331
332 __isl_give isl_space *isl_space_copy(__isl_keep isl_space *dim)
333 {
334 if (!dim)
335 return NULL;
336
337 dim->ref++;
338 return dim;
339 }
340
341 __isl_null isl_space *isl_space_free(__isl_take isl_space *space)
342 {
343 int i;
344
345 if (!space)
346 return NULL;
347
348 if (--space->ref > 0)
349 return NULL;
350
351 isl_id_free(space->tuple_id[0]);
352 isl_id_free(space->tuple_id[1]);
353
354 isl_space_free(space->nested[0]);
355 isl_space_free(space->nested[1]);
356
357 for (i = 0; i < space->n_id; ++i)
358 isl_id_free(space->ids[i]);
359 free(space->ids);
360 isl_ctx_deref(space->ctx);
361
362 free(space);
363
364 return NULL;
365 }
366
367 /* Check if "s" is a valid dimension or tuple name.
368 * We currently only forbid names that look like a number.
369 *
370 * s is assumed to be non-NULL.
371 */
372 static int name_ok(isl_ctx *ctx, const char *s)
373 {
374 char *p;
375 long dummy;
376
377 dummy = strtol(s, &p, 0);
378 if (p != s)
379 isl_die(ctx, isl_error_invalid, "name looks like a number",
380 return 0);
381
382 return 1;
383 }
384
385 /* Is it possible for the given dimension type to have a tuple id?
386 */
387 static int space_can_have_id(__isl_keep isl_space *space,
388 enum isl_dim_type type)
389 {
390 if (!space)
391 return 0;
392 if (isl_space_is_params(space))
393 isl_die(space->ctx, isl_error_invalid,
394 "parameter spaces don't have tuple ids", return 0);
395 if (isl_space_is_set(space) && type != isl_dim_set)
396 isl_die(space->ctx, isl_error_invalid,
397 "set spaces can only have a set id", return 0);
398 if (type != isl_dim_in && type != isl_dim_out)
399 isl_die(space->ctx, isl_error_invalid,
400 "only input, output and set tuples can have ids",
401 return 0);
402
403 return 1;
404 }
405
406 /* Does the tuple have an id?
407 */
408 isl_bool isl_space_has_tuple_id(__isl_keep isl_space *dim,
409 enum isl_dim_type type)
410 {
411 if (!space_can_have_id(dim, type))
412 return isl_bool_error;
413 return dim->tuple_id[type - isl_dim_in] != NULL;
414 }
415
416 __isl_give isl_id *isl_space_get_tuple_id(__isl_keep isl_space *dim,
417 enum isl_dim_type type)
418 {
419 int has_id;
420
421 if (!dim)
422 return NULL;
423 has_id = isl_space_has_tuple_id(dim, type);
424 if (has_id < 0)
425 return NULL;
426 if (!has_id)
427 isl_die(dim->ctx, isl_error_invalid,
428 "tuple has no id", return NULL);
429 return isl_id_copy(dim->tuple_id[type - isl_dim_in]);
430 }
431
432 __isl_give isl_space *isl_space_set_tuple_id(__isl_take isl_space *dim,
433 enum isl_dim_type type, __isl_take isl_id *id)
434 {
435 dim = isl_space_cow(dim);
436 if (!dim || !id)
437 goto error;
438 if (type != isl_dim_in && type != isl_dim_out)
439 isl_die(dim->ctx, isl_error_invalid,
440 "only input, output and set tuples can have names",
441 goto error);
442
443 isl_id_free(dim->tuple_id[type - isl_dim_in]);
444 dim->tuple_id[type - isl_dim_in] = id;
445
446 return dim;
447 error:
448 isl_id_free(id);
449 isl_space_free(dim);
450 return NULL;
451 }
452
453 __isl_give isl_space *isl_space_reset_tuple_id(__isl_take isl_space *dim,
454 enum isl_dim_type type)
455 {
456 dim = isl_space_cow(dim);
457 if (!dim)
458 return NULL;
459 if (type != isl_dim_in && type != isl_dim_out)
460 isl_die(dim->ctx, isl_error_invalid,
461 "only input, output and set tuples can have names",
462 goto error);
463
464 isl_id_free(dim->tuple_id[type - isl_dim_in]);
465 dim->tuple_id[type - isl_dim_in] = NULL;
466
467 return dim;
468 error:
469 isl_space_free(dim);
470 return NULL;
471 }
472
473 /* Set the id of the given dimension of "space" to "id".
474 * If the dimension already has an id, then it is replaced.
475 * If the dimension is a parameter, then we need to change it
476 * in the nested spaces (if any) as well.
477 */
478 __isl_give isl_space *isl_space_set_dim_id(__isl_take isl_space *space,
479 enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
480 {
481 space = isl_space_cow(space);
482 if (!space || !id)
483 goto error;
484
485 if (type == isl_dim_param) {
486 int i;
487
488 for (i = 0; i < 2; ++i) {
489 if (!space->nested[i])
490 continue;
491 space->nested[i] =
492 isl_space_set_dim_id(space->nested[i],
493 type, pos, isl_id_copy(id));
494 if (!space->nested[i])
495 goto error;
496 }
497 }
498
499 isl_id_free(get_id(space, type, pos));
500 return set_id(space, type, pos, id);
501 error:
502 isl_id_free(id);
503 isl_space_free(space);
504 return NULL;
505 }
506
507 /* Reset the id of the given dimension of "space".
508 * If the dimension already has an id, then it is removed.
509 * If the dimension is a parameter, then we need to reset it
510 * in the nested spaces (if any) as well.
511 */
512 __isl_give isl_space *isl_space_reset_dim_id(__isl_take isl_space *space,
513 enum isl_dim_type type, unsigned pos)
514 {
515 space = isl_space_cow(space);
516 if (!space)
517 goto error;
518
519 if (type == isl_dim_param) {
520 int i;
521
522 for (i = 0; i < 2; ++i) {
523 if (!space->nested[i])
524 continue;
525 space->nested[i] =
526 isl_space_reset_dim_id(space->nested[i],
527 type, pos);
528 if (!space->nested[i])
529 goto error;
530 }
531 }
532
533 isl_id_free(get_id(space, type, pos));
534 return set_id(space, type, pos, NULL);
535 error:
536 isl_space_free(space);
537 return NULL;
538 }
539
540 isl_bool isl_space_has_dim_id(__isl_keep isl_space *dim,
541 enum isl_dim_type type, unsigned pos)
542 {
543 if (!dim)
544 return isl_bool_error;
545 return get_id(dim, type, pos) != NULL;
546 }
547
548 __isl_give isl_id *isl_space_get_dim_id(__isl_keep isl_space *dim,
549 enum isl_dim_type type, unsigned pos)
550 {
551 if (!dim)
552 return NULL;
553 if (!get_id(dim, type, pos))
554 isl_die(dim->ctx, isl_error_invalid,
555 "dim has no id", return NULL);
556 return isl_id_copy(get_id(dim, type, pos));
557 }
558
559 __isl_give isl_space *isl_space_set_tuple_name(__isl_take isl_space *dim,
560 enum isl_dim_type type, const char *s)
561 {
562 isl_id *id;
563
564 if (!dim)
565 return NULL;
566
567 if (!s)
568 return isl_space_reset_tuple_id(dim, type);
569
570 if (!name_ok(dim->ctx, s))
571 goto error;
572
573 id = isl_id_alloc(dim->ctx, s, NULL);
574 return isl_space_set_tuple_id(dim, type, id);
575 error:
576 isl_space_free(dim);
577 return NULL;
578 }
579
580 /* Does the tuple have a name?
581 */
582 isl_bool isl_space_has_tuple_name(__isl_keep isl_space *space,
583 enum isl_dim_type type)
584 {
585 isl_id *id;
586
587 if (!space_can_have_id(space, type))
588 return isl_bool_error;
589 id = space->tuple_id[type - isl_dim_in];
590 return id && id->name;
591 }
592
593 __isl_keep const char *isl_space_get_tuple_name(__isl_keep isl_space *dim,
594 enum isl_dim_type type)
595 {
596 isl_id *id;
597 if (!dim)
598 return NULL;
599 if (type != isl_dim_in && type != isl_dim_out)
600 return NULL;
601 id = dim->tuple_id[type - isl_dim_in];
602 return id ? id->name : NULL;
603 }
604
605 __isl_give isl_space *isl_space_set_dim_name(__isl_take isl_space *dim,
606 enum isl_dim_type type, unsigned pos,
607 const char *s)
608 {
609 isl_id *id;
610
611 if (!dim)
612 return NULL;
613 if (!s)
614 return isl_space_reset_dim_id(dim, type, pos);
615 if (!name_ok(dim->ctx, s))
616 goto error;
617 id = isl_id_alloc(dim->ctx, s, NULL);
618 return isl_space_set_dim_id(dim, type, pos, id);
619 error:
620 isl_space_free(dim);
621 return NULL;
622 }
623
624 /* Does the given dimension have a name?
625 */
626 isl_bool isl_space_has_dim_name(__isl_keep isl_space *space,
627 enum isl_dim_type type, unsigned pos)
628 {
629 isl_id *id;
630
631 if (!space)
632 return isl_bool_error;
633 id = get_id(space, type, pos);
634 return id && id->name;
635 }
636
637 __isl_keep const char *isl_space_get_dim_name(__isl_keep isl_space *dim,
638 enum isl_dim_type type, unsigned pos)
639 {
640 isl_id *id = get_id(dim, type, pos);
641 return id ? id->name : NULL;
642 }
643
644 int isl_space_find_dim_by_id(__isl_keep isl_space *dim, enum isl_dim_type type,
645 __isl_keep isl_id *id)
646 {
647 int i;
648 int offset;
649 int n;
650
651 if (!dim || !id)
652 return -1;
653
654 offset = isl_space_offset(dim, type);
655 n = isl_space_dim(dim, type);
656 for (i = 0; i < n && offset + i < dim->n_id; ++i)
657 if (dim->ids[offset + i] == id)
658 return i;
659
660 return -1;
661 }
662
663 int isl_space_find_dim_by_name(__isl_keep isl_space *space,
664 enum isl_dim_type type, const char *name)
665 {
666 int i;
667 int offset;
668 int n;
669
670 if (!space || !name)
671 return -1;
672
673 offset = isl_space_offset(space, type);
674 n = isl_space_dim(space, type);
675 for (i = 0; i < n && offset + i < space->n_id; ++i) {
676 isl_id *id = get_id(space, type, i);
677 if (id && id->name && !strcmp(id->name, name))
678 return i;
679 }
680
681 return -1;
682 }
683
684 /* Reset the user pointer on all identifiers of parameters and tuples
685 * of "space".
686 */
687 __isl_give isl_space *isl_space_reset_user(__isl_take isl_space *space)
688 {
689 int i;
690 isl_ctx *ctx;
691 isl_id *id;
692 const char *name;
693
694 if (!space)
695 return NULL;
696
697 ctx = isl_space_get_ctx(space);
698
699 for (i = 0; i < space->nparam && i < space->n_id; ++i) {
700 if (!isl_id_get_user(space->ids[i]))
701 continue;
702 space = isl_space_cow(space);
703 if (!space)
704 return NULL;
705 name = isl_id_get_name(space->ids[i]);
706 id = isl_id_alloc(ctx, name, NULL);
707 isl_id_free(space->ids[i]);
708 space->ids[i] = id;
709 if (!id)
710 return isl_space_free(space);
711 }
712
713 for (i = 0; i < 2; ++i) {
714 if (!space->tuple_id[i])
715 continue;
716 if (!isl_id_get_user(space->tuple_id[i]))
717 continue;
718 space = isl_space_cow(space);
719 if (!space)
720 return NULL;
721 name = isl_id_get_name(space->tuple_id[i]);
722 id = isl_id_alloc(ctx, name, NULL);
723 isl_id_free(space->tuple_id[i]);
724 space->tuple_id[i] = id;
725 if (!id)
726 return isl_space_free(space);
727 }
728
729 for (i = 0; i < 2; ++i) {
730 if (!space->nested[i])
731 continue;
732 space = isl_space_cow(space);
733 if (!space)
734 return NULL;
735 space->nested[i] = isl_space_reset_user(space->nested[i]);
736 if (!space->nested[i])
737 return isl_space_free(space);
738 }
739
740 return space;
741 }
742
743 static __isl_keep isl_id *tuple_id(__isl_keep isl_space *dim,
744 enum isl_dim_type type)
745 {
746 if (!dim)
747 return NULL;
748 if (type == isl_dim_in)
749 return dim->tuple_id[0];
750 if (type == isl_dim_out)
751 return dim->tuple_id[1];
752 return NULL;
753 }
754
755 static __isl_keep isl_space *nested(__isl_keep isl_space *dim,
756 enum isl_dim_type type)
757 {
758 if (!dim)
759 return NULL;
760 if (type == isl_dim_in)
761 return dim->nested[0];
762 if (type == isl_dim_out)
763 return dim->nested[1];
764 return NULL;
765 }
766
767 /* Are the two spaces the same, apart from positions and names of parameters?
768 */
769 isl_bool isl_space_has_equal_tuples(__isl_keep isl_space *space1,
770 __isl_keep isl_space *space2)
771 {
772 if (!space1 || !space2)
773 return isl_bool_error;
774 if (space1 == space2)
775 return isl_bool_true;
776 return isl_space_tuple_is_equal(space1, isl_dim_in,
777 space2, isl_dim_in) &&
778 isl_space_tuple_is_equal(space1, isl_dim_out,
779 space2, isl_dim_out);
780 }
781
782 /* Check if the tuple of type "type1" of "space1" is the same as
783 * the tuple of type "type2" of "space2".
784 *
785 * That is, check if the tuples have the same identifier, the same dimension
786 * and the same internal structure.
787 * The identifiers of the dimensions inside the tuples do not affect the result.
788 *
789 * Note that this function only checks the tuples themselves.
790 * If nested tuples are involved, then we need to be careful not
791 * to have result affected by possibly differing parameters
792 * in those nested tuples.
793 */
794 isl_bool isl_space_tuple_is_equal(__isl_keep isl_space *space1,
795 enum isl_dim_type type1, __isl_keep isl_space *space2,
796 enum isl_dim_type type2)
797 {
798 isl_id *id1, *id2;
799 isl_space *nested1, *nested2;
800
801 if (!space1 || !space2)
802 return isl_bool_error;
803
804 if (space1 == space2 && type1 == type2)
805 return isl_bool_true;
806
807 if (n(space1, type1) != n(space2, type2))
808 return isl_bool_false;
809 id1 = tuple_id(space1, type1);
810 id2 = tuple_id(space2, type2);
811 if (!id1 ^ !id2)
812 return isl_bool_false;
813 if (id1 && id1 != id2)
814 return isl_bool_false;
815 nested1 = nested(space1, type1);
816 nested2 = nested(space2, type2);
817 if (!nested1 ^ !nested2)
818 return isl_bool_false;
819 if (nested1 && !isl_space_has_equal_tuples(nested1, nested2))
820 return isl_bool_false;
821 return isl_bool_true;
822 }
823
824 static isl_bool match(__isl_keep isl_space *space1, enum isl_dim_type type1,
825 __isl_keep isl_space *space2, enum isl_dim_type type2)
826 {
827 int i;
828
829 if (space1 == space2 && type1 == type2)
830 return isl_bool_true;
831
832 if (!isl_space_tuple_is_equal(space1, type1, space2, type2))
833 return isl_bool_false;
834
835 if (!space1->ids && !space2->ids)
836 return isl_bool_true;
837
838 for (i = 0; i < n(space1, type1); ++i) {
839 if (get_id(space1, type1, i) != get_id(space2, type2, i))
840 return isl_bool_false;
841 }
842 return isl_bool_true;
843 }
844
845 /* Do "space1" and "space2" have the same parameters?
846 */
847 isl_bool isl_space_has_equal_params(__isl_keep isl_space *space1,
848 __isl_keep isl_space *space2)
849 {
850 if (!space1 || !space2)
851 return isl_bool_error;
852
853 return match(space1, isl_dim_param, space2, isl_dim_param);
854 }
855
856 /* Do "space1" and "space2" have the same identifiers for all
857 * the tuple variables?
858 */
859 isl_bool isl_space_has_equal_ids(__isl_keep isl_space *space1,
860 __isl_keep isl_space *space2)
861 {
862 isl_bool equal;
863
864 if (!space1 || !space2)
865 return isl_bool_error;
866
867 equal = match(space1, isl_dim_in, space2, isl_dim_in);
868 if (equal < 0 || !equal)
869 return equal;
870 return match(space1, isl_dim_out, space2, isl_dim_out);
871 }
872
873 isl_bool isl_space_match(__isl_keep isl_space *space1, enum isl_dim_type type1,
874 __isl_keep isl_space *space2, enum isl_dim_type type2)
875 {
876 if (!space1 || !space2)
877 return isl_bool_error;
878
879 return match(space1, type1, space2, type2);
880 }
881
882 static void get_ids(__isl_keep isl_space *dim, enum isl_dim_type type,
883 unsigned first, unsigned n, __isl_keep isl_id **ids)
884 {
885 int i;
886
887 for (i = 0; i < n ; ++i)
888 ids[i] = get_id(dim, type, first + i);
889 }
890
891 static __isl_give isl_space *space_extend(__isl_take isl_space *space,
892 unsigned nparam, unsigned n_in, unsigned n_out)
893 {
894 isl_id **ids = NULL;
895
896 if (!space)
897 return NULL;
898 if (space->nparam == nparam &&
899 space->n_in == n_in && space->n_out == n_out)
900 return space;
901
902 isl_assert(space->ctx, space->nparam <= nparam, goto error);
903 isl_assert(space->ctx, space->n_in <= n_in, goto error);
904 isl_assert(space->ctx, space->n_out <= n_out, goto error);
905
906 space = isl_space_cow(space);
907 if (!space)
908 goto error;
909
910 if (space->ids) {
911 unsigned n;
912 n = nparam + n_in + n_out;
913 if (n < nparam || n < n_in || n < n_out)
914 isl_die(isl_space_get_ctx(space), isl_error_invalid,
915 "overflow in total number of dimensions",
916 goto error);
917 ids = isl_calloc_array(space->ctx, isl_id *, n);
918 if (!ids)
919 goto error;
920 get_ids(space, isl_dim_param, 0, space->nparam, ids);
921 get_ids(space, isl_dim_in, 0, space->n_in, ids + nparam);
922 get_ids(space, isl_dim_out, 0, space->n_out,
923 ids + nparam + n_in);
924 free(space->ids);
925 space->ids = ids;
926 space->n_id = nparam + n_in + n_out;
927 }
928 space->nparam = nparam;
929 space->n_in = n_in;
930 space->n_out = n_out;
931
932 return space;
933 error:
934 free(ids);
935 isl_space_free(space);
936 return NULL;
937 }
938
939 __isl_give isl_space *isl_space_extend(__isl_take isl_space *space,
940 unsigned nparam, unsigned n_in, unsigned n_out)
941 {
942 return space_extend(space, nparam, n_in, n_out);
943 }
944
945 __isl_give isl_space *isl_space_add_dims(__isl_take isl_space *space,
946 enum isl_dim_type type, unsigned n)
947 {
948 space = isl_space_reset(space, type);
949 if (!space)
950 return NULL;
951 switch (type) {
952 case isl_dim_param:
953 space = space_extend(space,
954 space->nparam + n, space->n_in, space->n_out);
955 if (space && space->nested[0] &&
956 !(space->nested[0] = isl_space_add_dims(space->nested[0],
957 isl_dim_param, n)))
958 goto error;
959 if (space && space->nested[1] &&
960 !(space->nested[1] = isl_space_add_dims(space->nested[1],
961 isl_dim_param, n)))
962 goto error;
963 return space;
964 case isl_dim_in:
965 return space_extend(space,
966 space->nparam, space->n_in + n, space->n_out);
967 case isl_dim_out:
968 return space_extend(space,
969 space->nparam, space->n_in, space->n_out + n);
970 default:
971 isl_die(space->ctx, isl_error_invalid,
972 "cannot add dimensions of specified type", goto error);
973 }
974 error:
975 isl_space_free(space);
976 return NULL;
977 }
978
979 /* Add a parameter with identifier "id" to "space", provided
980 * it does not already appear in "space".
981 */
982 __isl_give isl_space *isl_space_add_param_id(__isl_take isl_space *space,
983 __isl_take isl_id *id)
984 {
985 int pos;
986
987 if (!space || !id)
988 goto error;
989
990 if (isl_space_find_dim_by_id(space, isl_dim_param, id) >= 0) {
991 isl_id_free(id);
992 return space;
993 }
994
995 pos = isl_space_dim(space, isl_dim_param);
996 space = isl_space_add_dims(space, isl_dim_param, 1);
997 space = isl_space_set_dim_id(space, isl_dim_param, pos, id);
998
999 return space;
1000 error:
1001 isl_space_free(space);
1002 isl_id_free(id);
1003 return NULL;
1004 }
1005
1006 static int valid_dim_type(enum isl_dim_type type)
1007 {
1008 switch (type) {
1009 case isl_dim_param:
1010 case isl_dim_in:
1011 case isl_dim_out:
1012 return 1;
1013 default:
1014 return 0;
1015 }
1016 }
1017
1018 /* Insert "n" dimensions of type "type" at position "pos".
1019 * If we are inserting parameters, then they are also inserted in
1020 * any nested spaces.
1021 */
1022 __isl_give isl_space *isl_space_insert_dims(__isl_take isl_space *space,
1023 enum isl_dim_type type, unsigned pos, unsigned n)
1024 {
1025 isl_ctx *ctx;
1026 isl_id **ids = NULL;
1027 unsigned total;
1028
1029 if (!space)
1030 return NULL;
1031 if (n == 0)
1032 return isl_space_reset(space, type);
1033
1034 ctx = isl_space_get_ctx(space);
1035 if (!valid_dim_type(type))
1036 isl_die(ctx, isl_error_invalid,
1037 "cannot insert dimensions of specified type",
1038 goto error);
1039
1040 total = isl_space_dim(space, isl_dim_all);
1041 if (total + n < total)
1042 isl_die(ctx, isl_error_invalid,
1043 "overflow in total number of dimensions",
1044 return isl_space_free(space));
1045 isl_assert(ctx, pos <= isl_space_dim(space, type), goto error);
1046
1047 space = isl_space_cow(space);
1048 if (!space)
1049 return NULL;
1050
1051 if (space->ids) {
1052 enum isl_dim_type t, o = isl_dim_param;
1053 int off;
1054 int s[3];
1055 ids = isl_calloc_array(ctx, isl_id *,
1056 space->nparam + space->n_in + space->n_out + n);
1057 if (!ids)
1058 goto error;
1059 off = 0;
1060 s[isl_dim_param - o] = space->nparam;
1061 s[isl_dim_in - o] = space->n_in;
1062 s[isl_dim_out - o] = space->n_out;
1063 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
1064 if (t != type) {
1065 get_ids(space, t, 0, s[t - o], ids + off);
1066 off += s[t - o];
1067 } else {
1068 get_ids(space, t, 0, pos, ids + off);
1069 off += pos + n;
1070 get_ids(space, t, pos, s[t - o] - pos,
1071 ids + off);
1072 off += s[t - o] - pos;
1073 }
1074 }
1075 free(space->ids);
1076 space->ids = ids;
1077 space->n_id = space->nparam + space->n_in + space->n_out + n;
1078 }
1079 switch (type) {
1080 case isl_dim_param: space->nparam += n; break;
1081 case isl_dim_in: space->n_in += n; break;
1082 case isl_dim_out: space->n_out += n; break;
1083 default: ;
1084 }
1085 space = isl_space_reset(space, type);
1086
1087 if (type == isl_dim_param) {
1088 if (space && space->nested[0] &&
1089 !(space->nested[0] = isl_space_insert_dims(space->nested[0],
1090 isl_dim_param, pos, n)))
1091 goto error;
1092 if (space && space->nested[1] &&
1093 !(space->nested[1] = isl_space_insert_dims(space->nested[1],
1094 isl_dim_param, pos, n)))
1095 goto error;
1096 }
1097
1098 return space;
1099 error:
1100 isl_space_free(space);
1101 return NULL;
1102 }
1103
1104 __isl_give isl_space *isl_space_move_dims(__isl_take isl_space *space,
1105 enum isl_dim_type dst_type, unsigned dst_pos,
1106 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1107 {
1108 int i;
1109
1110 space = isl_space_reset(space, src_type);
1111 space = isl_space_reset(space, dst_type);
1112 if (!space)
1113 return NULL;
1114 if (n == 0)
1115 return space;
1116
1117 isl_assert(space->ctx, src_pos + n <= isl_space_dim(space, src_type),
1118 goto error);
1119
1120 if (dst_type == src_type && dst_pos == src_pos)
1121 return space;
1122
1123 isl_assert(space->ctx, dst_type != src_type, goto error);
1124
1125 space = isl_space_cow(space);
1126 if (!space)
1127 return NULL;
1128
1129 if (space->ids) {
1130 isl_id **ids;
1131 enum isl_dim_type t, o = isl_dim_param;
1132 int off;
1133 int s[3];
1134 ids = isl_calloc_array(space->ctx, isl_id *,
1135 space->nparam + space->n_in + space->n_out);
1136 if (!ids)
1137 goto error;
1138 off = 0;
1139 s[isl_dim_param - o] = space->nparam;
1140 s[isl_dim_in - o] = space->n_in;
1141 s[isl_dim_out - o] = space->n_out;
1142 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
1143 if (t == dst_type) {
1144 get_ids(space, t, 0, dst_pos, ids + off);
1145 off += dst_pos;
1146 get_ids(space, src_type, src_pos, n, ids + off);
1147 off += n;
1148 get_ids(space, t, dst_pos, s[t - o] - dst_pos,
1149 ids + off);
1150 off += s[t - o] - dst_pos;
1151 } else if (t == src_type) {
1152 get_ids(space, t, 0, src_pos, ids + off);
1153 off += src_pos;
1154 get_ids(space, t, src_pos + n,
1155 s[t - o] - src_pos - n, ids + off);
1156 off += s[t - o] - src_pos - n;
1157 } else {
1158 get_ids(space, t, 0, s[t - o], ids + off);
1159 off += s[t - o];
1160 }
1161 }
1162 free(space->ids);
1163 space->ids = ids;
1164 space->n_id = space->nparam + space->n_in + space->n_out;
1165 }
1166
1167 switch (dst_type) {
1168 case isl_dim_param: space->nparam += n; break;
1169 case isl_dim_in: space->n_in += n; break;
1170 case isl_dim_out: space->n_out += n; break;
1171 default: ;
1172 }
1173
1174 switch (src_type) {
1175 case isl_dim_param: space->nparam -= n; break;
1176 case isl_dim_in: space->n_in -= n; break;
1177 case isl_dim_out: space->n_out -= n; break;
1178 default: ;
1179 }
1180
1181 if (dst_type != isl_dim_param && src_type != isl_dim_param)
1182 return space;
1183
1184 for (i = 0; i < 2; ++i) {
1185 if (!space->nested[i])
1186 continue;
1187 space->nested[i] = isl_space_replace_params(space->nested[i],
1188 space);
1189 if (!space->nested[i])
1190 goto error;
1191 }
1192
1193 return space;
1194 error:
1195 isl_space_free(space);
1196 return NULL;
1197 }
1198
1199 /* Check that "space1" and "space2" have the same parameters,
1200 * reporting an error if they do not.
1201 */
1202 isl_stat isl_space_check_equal_params(__isl_keep isl_space *space1,
1203 __isl_keep isl_space *space2)
1204 {
1205 isl_bool equal;
1206
1207 equal = isl_space_has_equal_params(space1, space2);
1208 if (equal < 0)
1209 return isl_stat_error;
1210 if (!equal)
1211 isl_die(isl_space_get_ctx(space1), isl_error_invalid,
1212 "parameters need to match", return isl_stat_error);
1213 return isl_stat_ok;
1214 }
1215
1216 __isl_give isl_space *isl_space_join(__isl_take isl_space *left,
1217 __isl_take isl_space *right)
1218 {
1219 isl_space *dim;
1220
1221 if (isl_space_check_equal_params(left, right) < 0)
1222 goto error;
1223
1224 isl_assert(left->ctx,
1225 isl_space_tuple_is_equal(left, isl_dim_out, right, isl_dim_in),
1226 goto error);
1227
1228 dim = isl_space_alloc(left->ctx, left->nparam, left->n_in, right->n_out);
1229 if (!dim)
1230 goto error;
1231
1232 dim = copy_ids(dim, isl_dim_param, 0, left, isl_dim_param);
1233 dim = copy_ids(dim, isl_dim_in, 0, left, isl_dim_in);
1234 dim = copy_ids(dim, isl_dim_out, 0, right, isl_dim_out);
1235
1236 if (dim && left->tuple_id[0] &&
1237 !(dim->tuple_id[0] = isl_id_copy(left->tuple_id[0])))
1238 goto error;
1239 if (dim && right->tuple_id[1] &&
1240 !(dim->tuple_id[1] = isl_id_copy(right->tuple_id[1])))
1241 goto error;
1242 if (dim && left->nested[0] &&
1243 !(dim->nested[0] = isl_space_copy(left->nested[0])))
1244 goto error;
1245 if (dim && right->nested[1] &&
1246 !(dim->nested[1] = isl_space_copy(right->nested[1])))
1247 goto error;
1248
1249 isl_space_free(left);
1250 isl_space_free(right);
1251
1252 return dim;
1253 error:
1254 isl_space_free(left);
1255 isl_space_free(right);
1256 return NULL;
1257 }
1258
1259 /* Given two map spaces { A -> C } and { B -> D }, construct the space
1260 * { [A -> B] -> [C -> D] }.
1261 * Given two set spaces { A } and { B }, construct the space { [A -> B] }.
1262 */
1263 __isl_give isl_space *isl_space_product(__isl_take isl_space *left,
1264 __isl_take isl_space *right)
1265 {
1266 isl_space *dom1, *dom2, *nest1, *nest2;
1267 int is_set;
1268
1269 if (!left || !right)
1270 goto error;
1271
1272 is_set = isl_space_is_set(left);
1273 if (is_set != isl_space_is_set(right))
1274 isl_die(isl_space_get_ctx(left), isl_error_invalid,
1275 "expecting either two set spaces or two map spaces",
1276 goto error);
1277 if (is_set)
1278 return isl_space_range_product(left, right);
1279
1280 if (isl_space_check_equal_params(left, right) < 0)
1281 goto error;
1282
1283 dom1 = isl_space_domain(isl_space_copy(left));
1284 dom2 = isl_space_domain(isl_space_copy(right));
1285 nest1 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1286
1287 dom1 = isl_space_range(left);
1288 dom2 = isl_space_range(right);
1289 nest2 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1290
1291 return isl_space_join(isl_space_reverse(nest1), nest2);
1292 error:
1293 isl_space_free(left);
1294 isl_space_free(right);
1295 return NULL;
1296 }
1297
1298 /* Given two spaces { A -> C } and { B -> C }, construct the space
1299 * { [A -> B] -> C }
1300 */
1301 __isl_give isl_space *isl_space_domain_product(__isl_take isl_space *left,
1302 __isl_take isl_space *right)
1303 {
1304 isl_space *ran, *dom1, *dom2, *nest;
1305
1306 if (isl_space_check_equal_params(left, right) < 0)
1307 goto error;
1308
1309 if (!isl_space_tuple_is_equal(left, isl_dim_out, right, isl_dim_out))
1310 isl_die(left->ctx, isl_error_invalid,
1311 "ranges need to match", goto error);
1312
1313 ran = isl_space_range(isl_space_copy(left));
1314
1315 dom1 = isl_space_domain(left);
1316 dom2 = isl_space_domain(right);
1317 nest = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1318
1319 return isl_space_join(isl_space_reverse(nest), ran);
1320 error:
1321 isl_space_free(left);
1322 isl_space_free(right);
1323 return NULL;
1324 }
1325
1326 __isl_give isl_space *isl_space_range_product(__isl_take isl_space *left,
1327 __isl_take isl_space *right)
1328 {
1329 isl_space *dom, *ran1, *ran2, *nest;
1330
1331 if (isl_space_check_equal_params(left, right) < 0)
1332 goto error;
1333
1334 if (!isl_space_tuple_is_equal(left, isl_dim_in, right, isl_dim_in))
1335 isl_die(left->ctx, isl_error_invalid,
1336 "domains need to match", goto error);
1337
1338 dom = isl_space_domain(isl_space_copy(left));
1339
1340 ran1 = isl_space_range(left);
1341 ran2 = isl_space_range(right);
1342 nest = isl_space_wrap(isl_space_join(isl_space_reverse(ran1), ran2));
1343
1344 return isl_space_join(isl_space_reverse(dom), nest);
1345 error:
1346 isl_space_free(left);
1347 isl_space_free(right);
1348 return NULL;
1349 }
1350
1351 /* Given a space of the form [A -> B] -> C, return the space A -> C.
1352 */
1353 __isl_give isl_space *isl_space_domain_factor_domain(
1354 __isl_take isl_space *space)
1355 {
1356 isl_space *nested;
1357 isl_space *domain;
1358
1359 if (!space)
1360 return NULL;
1361 if (!isl_space_domain_is_wrapping(space))
1362 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1363 "domain not a product", return isl_space_free(space));
1364
1365 nested = space->nested[0];
1366 domain = isl_space_copy(space);
1367 domain = isl_space_drop_dims(domain, isl_dim_in,
1368 nested->n_in, nested->n_out);
1369 if (!domain)
1370 return isl_space_free(space);
1371 if (nested->tuple_id[0]) {
1372 domain->tuple_id[0] = isl_id_copy(nested->tuple_id[0]);
1373 if (!domain->tuple_id[0])
1374 goto error;
1375 }
1376 if (nested->nested[0]) {
1377 domain->nested[0] = isl_space_copy(nested->nested[0]);
1378 if (!domain->nested[0])
1379 goto error;
1380 }
1381
1382 isl_space_free(space);
1383 return domain;
1384 error:
1385 isl_space_free(space);
1386 isl_space_free(domain);
1387 return NULL;
1388 }
1389
1390 /* Given a space of the form [A -> B] -> C, return the space B -> C.
1391 */
1392 __isl_give isl_space *isl_space_domain_factor_range(
1393 __isl_take isl_space *space)
1394 {
1395 isl_space *nested;
1396 isl_space *range;
1397
1398 if (!space)
1399 return NULL;
1400 if (!isl_space_domain_is_wrapping(space))
1401 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1402 "domain not a product", return isl_space_free(space));
1403
1404 nested = space->nested[0];
1405 range = isl_space_copy(space);
1406 range = isl_space_drop_dims(range, isl_dim_in, 0, nested->n_in);
1407 if (!range)
1408 return isl_space_free(space);
1409 if (nested->tuple_id[1]) {
1410 range->tuple_id[0] = isl_id_copy(nested->tuple_id[1]);
1411 if (!range->tuple_id[0])
1412 goto error;
1413 }
1414 if (nested->nested[1]) {
1415 range->nested[0] = isl_space_copy(nested->nested[1]);
1416 if (!range->nested[0])
1417 goto error;
1418 }
1419
1420 isl_space_free(space);
1421 return range;
1422 error:
1423 isl_space_free(space);
1424 isl_space_free(range);
1425 return NULL;
1426 }
1427
1428 /* Internal function that selects the domain of the map that is
1429 * embedded in either a set space or the range of a map space.
1430 * In particular, given a space of the form [A -> B], return the space A.
1431 * Given a space of the form A -> [B -> C], return the space A -> B.
1432 */
1433 static __isl_give isl_space *range_factor_domain(__isl_take isl_space *space)
1434 {
1435 isl_space *nested;
1436 isl_space *domain;
1437
1438 if (!space)
1439 return NULL;
1440
1441 nested = space->nested[1];
1442 domain = isl_space_copy(space);
1443 domain = isl_space_drop_dims(domain, isl_dim_out,
1444 nested->n_in, nested->n_out);
1445 if (!domain)
1446 return isl_space_free(space);
1447 if (nested->tuple_id[0]) {
1448 domain->tuple_id[1] = isl_id_copy(nested->tuple_id[0]);
1449 if (!domain->tuple_id[1])
1450 goto error;
1451 }
1452 if (nested->nested[0]) {
1453 domain->nested[1] = isl_space_copy(nested->nested[0]);
1454 if (!domain->nested[1])
1455 goto error;
1456 }
1457
1458 isl_space_free(space);
1459 return domain;
1460 error:
1461 isl_space_free(space);
1462 isl_space_free(domain);
1463 return NULL;
1464 }
1465
1466 /* Given a space of the form A -> [B -> C], return the space A -> B.
1467 */
1468 __isl_give isl_space *isl_space_range_factor_domain(
1469 __isl_take isl_space *space)
1470 {
1471 if (!space)
1472 return NULL;
1473 if (!isl_space_range_is_wrapping(space))
1474 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1475 "range not a product", return isl_space_free(space));
1476
1477 return range_factor_domain(space);
1478 }
1479
1480 /* Given a space of the form [A -> B], return the space A.
1481 */
1482 static __isl_give isl_space *set_factor_domain(__isl_take isl_space *space)
1483 {
1484 if (!space)
1485 return NULL;
1486 if (!isl_space_is_wrapping(space))
1487 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1488 "not a product", return isl_space_free(space));
1489
1490 return range_factor_domain(space);
1491 }
1492
1493 /* Given a space of the form [A -> B] -> [C -> D], return the space A -> C.
1494 * Given a space of the form [A -> B], return the space A.
1495 */
1496 __isl_give isl_space *isl_space_factor_domain(__isl_take isl_space *space)
1497 {
1498 if (!space)
1499 return NULL;
1500 if (isl_space_is_set(space))
1501 return set_factor_domain(space);
1502 space = isl_space_domain_factor_domain(space);
1503 space = isl_space_range_factor_domain(space);
1504 return space;
1505 }
1506
1507 /* Internal function that selects the range of the map that is
1508 * embedded in either a set space or the range of a map space.
1509 * In particular, given a space of the form [A -> B], return the space B.
1510 * Given a space of the form A -> [B -> C], return the space A -> C.
1511 */
1512 static __isl_give isl_space *range_factor_range(__isl_take isl_space *space)
1513 {
1514 isl_space *nested;
1515 isl_space *range;
1516
1517 if (!space)
1518 return NULL;
1519
1520 nested = space->nested[1];
1521 range = isl_space_copy(space);
1522 range = isl_space_drop_dims(range, isl_dim_out, 0, nested->n_in);
1523 if (!range)
1524 return isl_space_free(space);
1525 if (nested->tuple_id[1]) {
1526 range->tuple_id[1] = isl_id_copy(nested->tuple_id[1]);
1527 if (!range->tuple_id[1])
1528 goto error;
1529 }
1530 if (nested->nested[1]) {
1531 range->nested[1] = isl_space_copy(nested->nested[1]);
1532 if (!range->nested[1])
1533 goto error;
1534 }
1535
1536 isl_space_free(space);
1537 return range;
1538 error:
1539 isl_space_free(space);
1540 isl_space_free(range);
1541 return NULL;
1542 }
1543
1544 /* Given a space of the form A -> [B -> C], return the space A -> C.
1545 */
1546 __isl_give isl_space *isl_space_range_factor_range(
1547 __isl_take isl_space *space)
1548 {
1549 if (!space)
1550 return NULL;
1551 if (!isl_space_range_is_wrapping(space))
1552 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1553 "range not a product", return isl_space_free(space));
1554
1555 return range_factor_range(space);
1556 }
1557
1558 /* Given a space of the form [A -> B], return the space B.
1559 */
1560 static __isl_give isl_space *set_factor_range(__isl_take isl_space *space)
1561 {
1562 if (!space)
1563 return NULL;
1564 if (!isl_space_is_wrapping(space))
1565 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1566 "not a product", return isl_space_free(space));
1567
1568 return range_factor_range(space);
1569 }
1570
1571 /* Given a space of the form [A -> B] -> [C -> D], return the space B -> D.
1572 * Given a space of the form [A -> B], return the space B.
1573 */
1574 __isl_give isl_space *isl_space_factor_range(__isl_take isl_space *space)
1575 {
1576 if (!space)
1577 return NULL;
1578 if (isl_space_is_set(space))
1579 return set_factor_range(space);
1580 space = isl_space_domain_factor_range(space);
1581 space = isl_space_range_factor_range(space);
1582 return space;
1583 }
1584
1585 __isl_give isl_space *isl_space_map_from_set(__isl_take isl_space *space)
1586 {
1587 isl_ctx *ctx;
1588 isl_id **ids = NULL;
1589 int n_id;
1590
1591 if (!space)
1592 return NULL;
1593 ctx = isl_space_get_ctx(space);
1594 if (!isl_space_is_set(space))
1595 isl_die(ctx, isl_error_invalid, "not a set space", goto error);
1596 space = isl_space_cow(space);
1597 if (!space)
1598 return NULL;
1599 n_id = space->nparam + space->n_out + space->n_out;
1600 if (n_id > 0 && space->ids) {
1601 ids = isl_calloc_array(space->ctx, isl_id *, n_id);
1602 if (!ids)
1603 goto error;
1604 get_ids(space, isl_dim_param, 0, space->nparam, ids);
1605 get_ids(space, isl_dim_out, 0, space->n_out,
1606 ids + space->nparam);
1607 }
1608 space->n_in = space->n_out;
1609 if (ids) {
1610 free(space->ids);
1611 space->ids = ids;
1612 space->n_id = n_id;
1613 space = copy_ids(space, isl_dim_out, 0, space, isl_dim_in);
1614 }
1615 isl_id_free(space->tuple_id[0]);
1616 space->tuple_id[0] = isl_id_copy(space->tuple_id[1]);
1617 isl_space_free(space->nested[0]);
1618 space->nested[0] = isl_space_copy(space->nested[1]);
1619 return space;
1620 error:
1621 isl_space_free(space);
1622 return NULL;
1623 }
1624
1625 __isl_give isl_space *isl_space_map_from_domain_and_range(
1626 __isl_take isl_space *domain, __isl_take isl_space *range)
1627 {
1628 if (!domain || !range)
1629 goto error;
1630 if (!isl_space_is_set(domain))
1631 isl_die(isl_space_get_ctx(domain), isl_error_invalid,
1632 "domain is not a set space", goto error);
1633 if (!isl_space_is_set(range))
1634 isl_die(isl_space_get_ctx(range), isl_error_invalid,
1635 "range is not a set space", goto error);
1636 return isl_space_join(isl_space_reverse(domain), range);
1637 error:
1638 isl_space_free(domain);
1639 isl_space_free(range);
1640 return NULL;
1641 }
1642
1643 static __isl_give isl_space *set_ids(__isl_take isl_space *dim,
1644 enum isl_dim_type type,
1645 unsigned first, unsigned n, __isl_take isl_id **ids)
1646 {
1647 int i;
1648
1649 for (i = 0; i < n ; ++i)
1650 dim = set_id(dim, type, first + i, ids[i]);
1651
1652 return dim;
1653 }
1654
1655 __isl_give isl_space *isl_space_reverse(__isl_take isl_space *dim)
1656 {
1657 unsigned t;
1658 isl_space *nested;
1659 isl_id **ids = NULL;
1660 isl_id *id;
1661
1662 if (!dim)
1663 return NULL;
1664 if (match(dim, isl_dim_in, dim, isl_dim_out))
1665 return dim;
1666
1667 dim = isl_space_cow(dim);
1668 if (!dim)
1669 return NULL;
1670
1671 id = dim->tuple_id[0];
1672 dim->tuple_id[0] = dim->tuple_id[1];
1673 dim->tuple_id[1] = id;
1674
1675 nested = dim->nested[0];
1676 dim->nested[0] = dim->nested[1];
1677 dim->nested[1] = nested;
1678
1679 if (dim->ids) {
1680 int n_id = dim->n_in + dim->n_out;
1681 ids = isl_alloc_array(dim->ctx, isl_id *, n_id);
1682 if (n_id && !ids)
1683 goto error;
1684 get_ids(dim, isl_dim_in, 0, dim->n_in, ids);
1685 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->n_in);
1686 }
1687
1688 t = dim->n_in;
1689 dim->n_in = dim->n_out;
1690 dim->n_out = t;
1691
1692 if (dim->ids) {
1693 dim = set_ids(dim, isl_dim_out, 0, dim->n_out, ids);
1694 dim = set_ids(dim, isl_dim_in, 0, dim->n_in, ids + dim->n_out);
1695 free(ids);
1696 }
1697
1698 return dim;
1699 error:
1700 free(ids);
1701 isl_space_free(dim);
1702 return NULL;
1703 }
1704
1705 __isl_give isl_space *isl_space_drop_dims(__isl_take isl_space *dim,
1706 enum isl_dim_type type, unsigned first, unsigned num)
1707 {
1708 int i;
1709
1710 if (!dim)
1711 return NULL;
1712
1713 if (num == 0)
1714 return isl_space_reset(dim, type);
1715
1716 if (!valid_dim_type(type))
1717 isl_die(dim->ctx, isl_error_invalid,
1718 "cannot drop dimensions of specified type", goto error);
1719
1720 if (first + num > n(dim, type) || first + num < first)
1721 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1722 "index out of bounds", return isl_space_free(dim));
1723 dim = isl_space_cow(dim);
1724 if (!dim)
1725 goto error;
1726 if (dim->ids) {
1727 dim = extend_ids(dim);
1728 if (!dim)
1729 goto error;
1730 for (i = 0; i < num; ++i)
1731 isl_id_free(get_id(dim, type, first + i));
1732 for (i = first+num; i < n(dim, type); ++i)
1733 set_id(dim, type, i - num, get_id(dim, type, i));
1734 switch (type) {
1735 case isl_dim_param:
1736 get_ids(dim, isl_dim_in, 0, dim->n_in,
1737 dim->ids + offset(dim, isl_dim_in) - num);
1738 case isl_dim_in:
1739 get_ids(dim, isl_dim_out, 0, dim->n_out,
1740 dim->ids + offset(dim, isl_dim_out) - num);
1741 default:
1742 ;
1743 }
1744 dim->n_id -= num;
1745 }
1746 switch (type) {
1747 case isl_dim_param: dim->nparam -= num; break;
1748 case isl_dim_in: dim->n_in -= num; break;
1749 case isl_dim_out: dim->n_out -= num; break;
1750 default: ;
1751 }
1752 dim = isl_space_reset(dim, type);
1753 if (type == isl_dim_param) {
1754 if (dim && dim->nested[0] &&
1755 !(dim->nested[0] = isl_space_drop_dims(dim->nested[0],
1756 isl_dim_param, first, num)))
1757 goto error;
1758 if (dim && dim->nested[1] &&
1759 !(dim->nested[1] = isl_space_drop_dims(dim->nested[1],
1760 isl_dim_param, first, num)))
1761 goto error;
1762 }
1763 return dim;
1764 error:
1765 isl_space_free(dim);
1766 return NULL;
1767 }
1768
1769 __isl_give isl_space *isl_space_drop_inputs(__isl_take isl_space *dim,
1770 unsigned first, unsigned n)
1771 {
1772 if (!dim)
1773 return NULL;
1774 return isl_space_drop_dims(dim, isl_dim_in, first, n);
1775 }
1776
1777 __isl_give isl_space *isl_space_drop_outputs(__isl_take isl_space *dim,
1778 unsigned first, unsigned n)
1779 {
1780 if (!dim)
1781 return NULL;
1782 return isl_space_drop_dims(dim, isl_dim_out, first, n);
1783 }
1784
1785 __isl_give isl_space *isl_space_domain(__isl_take isl_space *space)
1786 {
1787 if (!space)
1788 return NULL;
1789 space = isl_space_drop_dims(space, isl_dim_out, 0, space->n_out);
1790 space = isl_space_reverse(space);
1791 space = mark_as_set(space);
1792 return space;
1793 }
1794
1795 __isl_give isl_space *isl_space_from_domain(__isl_take isl_space *dim)
1796 {
1797 if (!dim)
1798 return NULL;
1799 if (!isl_space_is_set(dim))
1800 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1801 "not a set space", goto error);
1802 dim = isl_space_reverse(dim);
1803 dim = isl_space_reset(dim, isl_dim_out);
1804 return dim;
1805 error:
1806 isl_space_free(dim);
1807 return NULL;
1808 }
1809
1810 __isl_give isl_space *isl_space_range(__isl_take isl_space *space)
1811 {
1812 if (!space)
1813 return NULL;
1814 space = isl_space_drop_dims(space, isl_dim_in, 0, space->n_in);
1815 space = mark_as_set(space);
1816 return space;
1817 }
1818
1819 __isl_give isl_space *isl_space_from_range(__isl_take isl_space *dim)
1820 {
1821 if (!dim)
1822 return NULL;
1823 if (!isl_space_is_set(dim))
1824 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1825 "not a set space", goto error);
1826 return isl_space_reset(dim, isl_dim_in);
1827 error:
1828 isl_space_free(dim);
1829 return NULL;
1830 }
1831
1832 /* Given a map space A -> B, return the map space [A -> B] -> A.
1833 */
1834 __isl_give isl_space *isl_space_domain_map(__isl_take isl_space *space)
1835 {
1836 isl_space *domain;
1837
1838 domain = isl_space_from_range(isl_space_domain(isl_space_copy(space)));
1839 space = isl_space_from_domain(isl_space_wrap(space));
1840 space = isl_space_join(space, domain);
1841
1842 return space;
1843 }
1844
1845 /* Given a map space A -> B, return the map space [A -> B] -> B.
1846 */
1847 __isl_give isl_space *isl_space_range_map(__isl_take isl_space *space)
1848 {
1849 isl_space *range;
1850
1851 range = isl_space_from_range(isl_space_range(isl_space_copy(space)));
1852 space = isl_space_from_domain(isl_space_wrap(space));
1853 space = isl_space_join(space, range);
1854
1855 return space;
1856 }
1857
1858 __isl_give isl_space *isl_space_params(__isl_take isl_space *space)
1859 {
1860 if (isl_space_is_params(space))
1861 return space;
1862 space = isl_space_drop_dims(space,
1863 isl_dim_in, 0, isl_space_dim(space, isl_dim_in));
1864 space = isl_space_drop_dims(space,
1865 isl_dim_out, 0, isl_space_dim(space, isl_dim_out));
1866 space = mark_as_params(space);
1867 return space;
1868 }
1869
1870 __isl_give isl_space *isl_space_set_from_params(__isl_take isl_space *space)
1871 {
1872 if (!space)
1873 return NULL;
1874 if (!isl_space_is_params(space))
1875 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1876 "not a parameter space", goto error);
1877 return isl_space_reset(space, isl_dim_set);
1878 error:
1879 isl_space_free(space);
1880 return NULL;
1881 }
1882
1883 __isl_give isl_space *isl_space_underlying(__isl_take isl_space *dim,
1884 unsigned n_div)
1885 {
1886 int i;
1887
1888 if (!dim)
1889 return NULL;
1890 if (n_div == 0 &&
1891 dim->nparam == 0 && dim->n_in == 0 && dim->n_id == 0)
1892 return isl_space_reset(isl_space_reset(dim, isl_dim_in), isl_dim_out);
1893 dim = isl_space_cow(dim);
1894 if (!dim)
1895 return NULL;
1896 dim->n_out += dim->nparam + dim->n_in + n_div;
1897 dim->nparam = 0;
1898 dim->n_in = 0;
1899
1900 for (i = 0; i < dim->n_id; ++i)
1901 isl_id_free(get_id(dim, isl_dim_out, i));
1902 dim->n_id = 0;
1903 dim = isl_space_reset(dim, isl_dim_in);
1904 dim = isl_space_reset(dim, isl_dim_out);
1905
1906 return dim;
1907 }
1908
1909 /* Are the two spaces the same, including positions and names of parameters?
1910 */
1911 isl_bool isl_space_is_equal(__isl_keep isl_space *space1,
1912 __isl_keep isl_space *space2)
1913 {
1914 isl_bool equal;
1915
1916 if (!space1 || !space2)
1917 return isl_bool_error;
1918 if (space1 == space2)
1919 return isl_bool_true;
1920 equal = isl_space_has_equal_params(space1, space2);
1921 if (equal < 0 || !equal)
1922 return equal;
1923 return isl_space_has_equal_tuples(space1, space2);
1924 }
1925
1926 /* Do the tuples of "space1" correspond to those of the domain of "space2"?
1927 * That is, is "space1" eqaul to the domain of "space2", ignoring parameters.
1928 *
1929 * "space2" is allowed to be a set space, in which case "space1"
1930 * should be a parameter space.
1931 */
1932 isl_bool isl_space_has_domain_tuples(__isl_keep isl_space *space1,
1933 __isl_keep isl_space *space2)
1934 {
1935 isl_bool is_set;
1936
1937 is_set = isl_space_is_set(space1);
1938 if (is_set < 0 || !is_set)
1939 return is_set;
1940 return isl_space_tuple_is_equal(space1, isl_dim_set,
1941 space2, isl_dim_in);
1942 }
1943
1944 /* Is space1 equal to the domain of space2?
1945 *
1946 * In the internal version we also allow space2 to be the space of a set,
1947 * provided space1 is a parameter space.
1948 */
1949 isl_bool isl_space_is_domain_internal(__isl_keep isl_space *space1,
1950 __isl_keep isl_space *space2)
1951 {
1952 isl_bool equal_params;
1953
1954 if (!space1 || !space2)
1955 return isl_bool_error;
1956 equal_params = isl_space_has_equal_params(space1, space2);
1957 if (equal_params < 0 || !equal_params)
1958 return equal_params;
1959 return isl_space_has_domain_tuples(space1, space2);
1960 }
1961
1962 /* Is space1 equal to the domain of space2?
1963 */
1964 isl_bool isl_space_is_domain(__isl_keep isl_space *space1,
1965 __isl_keep isl_space *space2)
1966 {
1967 if (!space2)
1968 return isl_bool_error;
1969 if (!isl_space_is_map(space2))
1970 return isl_bool_false;
1971 return isl_space_is_domain_internal(space1, space2);
1972 }
1973
1974 /* Is space1 equal to the range of space2?
1975 *
1976 * In the internal version, space2 is allowed to be the space of a set,
1977 * in which case it should be equal to space1.
1978 */
1979 isl_bool isl_space_is_range_internal(__isl_keep isl_space *space1,
1980 __isl_keep isl_space *space2)
1981 {
1982 isl_bool equal_params;
1983
1984 if (!space1 || !space2)
1985 return isl_bool_error;
1986 if (!isl_space_is_set(space1))
1987 return isl_bool_false;
1988 equal_params = isl_space_has_equal_params(space1, space2);
1989 if (equal_params < 0 || !equal_params)
1990 return equal_params;
1991 return isl_space_tuple_is_equal(space1, isl_dim_set,
1992 space2, isl_dim_out);
1993 }
1994
1995 /* Is space1 equal to the range of space2?
1996 */
1997 isl_bool isl_space_is_range(__isl_keep isl_space *space1,
1998 __isl_keep isl_space *space2)
1999 {
2000 if (!space2)
2001 return isl_bool_error;
2002 if (!isl_space_is_map(space2))
2003 return isl_bool_false;
2004 return isl_space_is_range_internal(space1, space2);
2005 }
2006
2007 /* Update "hash" by hashing in the parameters of "space".
2008 */
2009 static uint32_t isl_hash_params(uint32_t hash, __isl_keep isl_space *space)
2010 {
2011 int i;
2012 isl_id *id;
2013
2014 if (!space)
2015 return hash;
2016
2017 isl_hash_byte(hash, space->nparam % 256);
2018
2019 for (i = 0; i < space->nparam; ++i) {
2020 id = get_id(space, isl_dim_param, i);
2021 hash = isl_hash_id(hash, id);
2022 }
2023
2024 return hash;
2025 }
2026
2027 /* Update "hash" by hashing in the tuples of "space".
2028 * Changes in this function should be reflected in isl_hash_tuples_domain.
2029 */
2030 static uint32_t isl_hash_tuples(uint32_t hash, __isl_keep isl_space *space)
2031 {
2032 isl_id *id;
2033
2034 if (!space)
2035 return hash;
2036
2037 isl_hash_byte(hash, space->n_in % 256);
2038 isl_hash_byte(hash, space->n_out % 256);
2039
2040 id = tuple_id(space, isl_dim_in);
2041 hash = isl_hash_id(hash, id);
2042 id = tuple_id(space, isl_dim_out);
2043 hash = isl_hash_id(hash, id);
2044
2045 hash = isl_hash_tuples(hash, space->nested[0]);
2046 hash = isl_hash_tuples(hash, space->nested[1]);
2047
2048 return hash;
2049 }
2050
2051 /* Update "hash" by hashing in the domain tuple of "space".
2052 * The result of this function is equal to the result of applying
2053 * isl_hash_tuples to the domain of "space".
2054 */
2055 static uint32_t isl_hash_tuples_domain(uint32_t hash,
2056 __isl_keep isl_space *space)
2057 {
2058 isl_id *id;
2059
2060 if (!space)
2061 return hash;
2062
2063 isl_hash_byte(hash, 0);
2064 isl_hash_byte(hash, space->n_in % 256);
2065
2066 hash = isl_hash_id(hash, &isl_id_none);
2067 id = tuple_id(space, isl_dim_in);
2068 hash = isl_hash_id(hash, id);
2069
2070 hash = isl_hash_tuples(hash, space->nested[0]);
2071
2072 return hash;
2073 }
2074
2075 /* Return a hash value that digests the tuples of "space",
2076 * i.e., that ignores the parameters.
2077 */
2078 uint32_t isl_space_get_tuple_hash(__isl_keep isl_space *space)
2079 {
2080 uint32_t hash;
2081
2082 if (!space)
2083 return 0;
2084
2085 hash = isl_hash_init();
2086 hash = isl_hash_tuples(hash, space);
2087
2088 return hash;
2089 }
2090
2091 uint32_t isl_space_get_hash(__isl_keep isl_space *space)
2092 {
2093 uint32_t hash;
2094
2095 if (!space)
2096 return 0;
2097
2098 hash = isl_hash_init();
2099 hash = isl_hash_params(hash, space);
2100 hash = isl_hash_tuples(hash, space);
2101
2102 return hash;
2103 }
2104
2105 /* Return the hash value of the domain of "space".
2106 * That is, isl_space_get_domain_hash(space) is equal to
2107 * isl_space_get_hash(isl_space_domain(space)).
2108 */
2109 uint32_t isl_space_get_domain_hash(__isl_keep isl_space *space)
2110 {
2111 uint32_t hash;
2112
2113 if (!space)
2114 return 0;
2115
2116 hash = isl_hash_init();
2117 hash = isl_hash_params(hash, space);
2118 hash = isl_hash_tuples_domain(hash, space);
2119
2120 return hash;
2121 }
2122
2123 isl_bool isl_space_is_wrapping(__isl_keep isl_space *dim)
2124 {
2125 if (!dim)
2126 return isl_bool_error;
2127
2128 if (!isl_space_is_set(dim))
2129 return isl_bool_false;
2130
2131 return dim->nested[1] != NULL;
2132 }
2133
2134 /* Is "space" the space of a map where the domain is a wrapped map space?
2135 */
2136 isl_bool isl_space_domain_is_wrapping(__isl_keep isl_space *space)
2137 {
2138 if (!space)
2139 return isl_bool_error;
2140
2141 if (isl_space_is_set(space))
2142 return isl_bool_false;
2143
2144 return space->nested[0] != NULL;
2145 }
2146
2147 /* Is "space" the space of a map where the range is a wrapped map space?
2148 */
2149 isl_bool isl_space_range_is_wrapping(__isl_keep isl_space *space)
2150 {
2151 if (!space)
2152 return isl_bool_error;
2153
2154 if (isl_space_is_set(space))
2155 return isl_bool_false;
2156
2157 return space->nested[1] != NULL;
2158 }
2159
2160 /* Is "space" a product of two spaces?
2161 * That is, is it a wrapping set space or a map space
2162 * with wrapping domain and range?
2163 */
2164 isl_bool isl_space_is_product(__isl_keep isl_space *space)
2165 {
2166 isl_bool is_set;
2167 isl_bool is_product;
2168
2169 is_set = isl_space_is_set(space);
2170 if (is_set < 0)
2171 return isl_bool_error;
2172 if (is_set)
2173 return isl_space_is_wrapping(space);
2174 is_product = isl_space_domain_is_wrapping(space);
2175 if (is_product < 0 || !is_product)
2176 return is_product;
2177 return isl_space_range_is_wrapping(space);
2178 }
2179
2180 __isl_give isl_space *isl_space_wrap(__isl_take isl_space *dim)
2181 {
2182 isl_space *wrap;
2183
2184 if (!dim)
2185 return NULL;
2186
2187 wrap = isl_space_set_alloc(dim->ctx,
2188 dim->nparam, dim->n_in + dim->n_out);
2189
2190 wrap = copy_ids(wrap, isl_dim_param, 0, dim, isl_dim_param);
2191 wrap = copy_ids(wrap, isl_dim_set, 0, dim, isl_dim_in);
2192 wrap = copy_ids(wrap, isl_dim_set, dim->n_in, dim, isl_dim_out);
2193
2194 if (!wrap)
2195 goto error;
2196
2197 wrap->nested[1] = dim;
2198
2199 return wrap;
2200 error:
2201 isl_space_free(dim);
2202 return NULL;
2203 }
2204
2205 __isl_give isl_space *isl_space_unwrap(__isl_take isl_space *dim)
2206 {
2207 isl_space *unwrap;
2208
2209 if (!dim)
2210 return NULL;
2211
2212 if (!isl_space_is_wrapping(dim))
2213 isl_die(dim->ctx, isl_error_invalid, "not a wrapping space",
2214 goto error);
2215
2216 unwrap = isl_space_copy(dim->nested[1]);
2217 isl_space_free(dim);
2218
2219 return unwrap;
2220 error:
2221 isl_space_free(dim);
2222 return NULL;
2223 }
2224
2225 isl_bool isl_space_is_named_or_nested(__isl_keep isl_space *space,
2226 enum isl_dim_type type)
2227 {
2228 if (type != isl_dim_in && type != isl_dim_out)
2229 return isl_bool_false;
2230 if (!space)
2231 return isl_bool_error;
2232 if (space->tuple_id[type - isl_dim_in])
2233 return isl_bool_true;
2234 if (space->nested[type - isl_dim_in])
2235 return isl_bool_true;
2236 return isl_bool_false;
2237 }
2238
2239 isl_bool isl_space_may_be_set(__isl_keep isl_space *space)
2240 {
2241 isl_bool nested;
2242
2243 if (!space)
2244 return isl_bool_error;
2245 if (isl_space_is_set(space))
2246 return isl_bool_true;
2247 if (isl_space_dim(space, isl_dim_in) != 0)
2248 return isl_bool_false;
2249 nested = isl_space_is_named_or_nested(space, isl_dim_in);
2250 if (nested < 0 || nested)
2251 return isl_bool_not(nested);
2252 return isl_bool_true;
2253 }
2254
2255 __isl_give isl_space *isl_space_reset(__isl_take isl_space *dim,
2256 enum isl_dim_type type)
2257 {
2258 if (!isl_space_is_named_or_nested(dim, type))
2259 return dim;
2260
2261 dim = isl_space_cow(dim);
2262 if (!dim)
2263 return NULL;
2264
2265 isl_id_free(dim->tuple_id[type - isl_dim_in]);
2266 dim->tuple_id[type - isl_dim_in] = NULL;
2267 isl_space_free(dim->nested[type - isl_dim_in]);
2268 dim->nested[type - isl_dim_in] = NULL;
2269
2270 return dim;
2271 }
2272
2273 __isl_give isl_space *isl_space_flatten(__isl_take isl_space *dim)
2274 {
2275 if (!dim)
2276 return NULL;
2277 if (!dim->nested[0] && !dim->nested[1])
2278 return dim;
2279
2280 if (dim->nested[0])
2281 dim = isl_space_reset(dim, isl_dim_in);
2282 if (dim && dim->nested[1])
2283 dim = isl_space_reset(dim, isl_dim_out);
2284
2285 return dim;
2286 }
2287
2288 __isl_give isl_space *isl_space_flatten_domain(__isl_take isl_space *space)
2289 {
2290 if (!space)
2291 return NULL;
2292 if (!space->nested[0])
2293 return space;
2294
2295 return isl_space_reset(space, isl_dim_in);
2296 }
2297
2298 __isl_give isl_space *isl_space_flatten_range(__isl_take isl_space *space)
2299 {
2300 if (!space)
2301 return NULL;
2302 if (!space->nested[1])
2303 return space;
2304
2305 return isl_space_reset(space, isl_dim_out);
2306 }
2307
2308 /* Replace the parameters of dst by those of src.
2309 */
2310 __isl_give isl_space *isl_space_replace_params(__isl_take isl_space *dst,
2311 __isl_keep isl_space *src)
2312 {
2313 isl_bool equal_params;
2314 enum isl_dim_type type = isl_dim_param;
2315
2316 equal_params = isl_space_has_equal_params(dst, src);
2317 if (equal_params < 0)
2318 return isl_space_free(dst);
2319 if (equal_params)
2320 return dst;
2321
2322 dst = isl_space_cow(dst);
2323
2324 if (!dst || !src)
2325 goto error;
2326
2327 dst = isl_space_drop_dims(dst, type, 0, isl_space_dim(dst, type));
2328 dst = isl_space_add_dims(dst, type, isl_space_dim(src, type));
2329 dst = copy_ids(dst, type, 0, src, type);
2330
2331 if (dst) {
2332 int i;
2333 for (i = 0; i <= 1; ++i) {
2334 if (!dst->nested[i])
2335 continue;
2336 dst->nested[i] = isl_space_replace_params(
2337 dst->nested[i], src);
2338 if (!dst->nested[i])
2339 goto error;
2340 }
2341 }
2342
2343 return dst;
2344 error:
2345 isl_space_free(dst);
2346 return NULL;
2347 }
2348
2349 /* Given a dimension specification "dim" of a set, create a dimension
2350 * specification for the lift of the set. In particular, the result
2351 * is of the form [dim -> local[..]], with n_local variables in the
2352 * range of the wrapped map.
2353 */
2354 __isl_give isl_space *isl_space_lift(__isl_take isl_space *dim, unsigned n_local)
2355 {
2356 isl_space *local_dim;
2357
2358 if (!dim)
2359 return NULL;
2360
2361 local_dim = isl_space_dup(dim);
2362 local_dim = isl_space_drop_dims(local_dim, isl_dim_set, 0, dim->n_out);
2363 local_dim = isl_space_add_dims(local_dim, isl_dim_set, n_local);
2364 local_dim = isl_space_set_tuple_name(local_dim, isl_dim_set, "local");
2365 dim = isl_space_join(isl_space_from_domain(dim),
2366 isl_space_from_range(local_dim));
2367 dim = isl_space_wrap(dim);
2368 dim = isl_space_set_tuple_name(dim, isl_dim_set, "lifted");
2369
2370 return dim;
2371 }
2372
2373 isl_bool isl_space_can_zip(__isl_keep isl_space *space)
2374 {
2375 isl_bool is_set;
2376
2377 is_set = isl_space_is_set(space);
2378 if (is_set < 0)
2379 return isl_bool_error;
2380 if (is_set)
2381 return isl_bool_false;
2382 return isl_space_is_product(space);
2383 }
2384
2385 __isl_give isl_space *isl_space_zip(__isl_take isl_space *dim)
2386 {
2387 isl_space *dom, *ran;
2388 isl_space *dom_dom, *dom_ran, *ran_dom, *ran_ran;
2389
2390 if (!isl_space_can_zip(dim))
2391 isl_die(dim->ctx, isl_error_invalid, "dim cannot be zipped",
2392 goto error);
2393
2394 if (!dim)
2395 return NULL;
2396 dom = isl_space_unwrap(isl_space_domain(isl_space_copy(dim)));
2397 ran = isl_space_unwrap(isl_space_range(dim));
2398 dom_dom = isl_space_domain(isl_space_copy(dom));
2399 dom_ran = isl_space_range(dom);
2400 ran_dom = isl_space_domain(isl_space_copy(ran));
2401 ran_ran = isl_space_range(ran);
2402 dom = isl_space_join(isl_space_from_domain(dom_dom),
2403 isl_space_from_range(ran_dom));
2404 ran = isl_space_join(isl_space_from_domain(dom_ran),
2405 isl_space_from_range(ran_ran));
2406 return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
2407 isl_space_from_range(isl_space_wrap(ran)));
2408 error:
2409 isl_space_free(dim);
2410 return NULL;
2411 }
2412
2413 /* Can we apply isl_space_curry to "space"?
2414 * That is, does it have a nested relation in its domain?
2415 */
2416 isl_bool isl_space_can_curry(__isl_keep isl_space *space)
2417 {
2418 if (!space)
2419 return isl_bool_error;
2420
2421 return !!space->nested[0];
2422 }
2423
2424 /* Given a space (A -> B) -> C, return the corresponding space
2425 * A -> (B -> C).
2426 */
2427 __isl_give isl_space *isl_space_curry(__isl_take isl_space *space)
2428 {
2429 isl_space *dom, *ran;
2430 isl_space *dom_dom, *dom_ran;
2431
2432 if (!space)
2433 return NULL;
2434
2435 if (!isl_space_can_curry(space))
2436 isl_die(space->ctx, isl_error_invalid,
2437 "space cannot be curried", goto error);
2438
2439 dom = isl_space_unwrap(isl_space_domain(isl_space_copy(space)));
2440 ran = isl_space_range(space);
2441 dom_dom = isl_space_domain(isl_space_copy(dom));
2442 dom_ran = isl_space_range(dom);
2443 ran = isl_space_join(isl_space_from_domain(dom_ran),
2444 isl_space_from_range(ran));
2445 return isl_space_join(isl_space_from_domain(dom_dom),
2446 isl_space_from_range(isl_space_wrap(ran)));
2447 error:
2448 isl_space_free(space);
2449 return NULL;
2450 }
2451
2452 /* Can isl_space_range_curry be applied to "space"?
2453 * That is, does it have a nested relation in its range,
2454 * the domain of which is itself a nested relation?
2455 */
2456 isl_bool isl_space_can_range_curry(__isl_keep isl_space *space)
2457 {
2458 isl_bool can;
2459
2460 if (!space)
2461 return isl_bool_error;
2462 can = isl_space_range_is_wrapping(space);
2463 if (can < 0 || !can)
2464 return can;
2465 return isl_space_can_curry(space->nested[1]);
2466 }
2467
2468 /* Given a space A -> ((B -> C) -> D), return the corresponding space
2469 * A -> (B -> (C -> D)).
2470 */
2471 __isl_give isl_space *isl_space_range_curry(__isl_take isl_space *space)
2472 {
2473 if (!space)
2474 return NULL;
2475
2476 if (!isl_space_can_range_curry(space))
2477 isl_die(isl_space_get_ctx(space), isl_error_invalid,
2478 "space range cannot be curried",
2479 return isl_space_free(space));
2480
2481 space = isl_space_cow(space);
2482 if (!space)
2483 return NULL;
2484 space->nested[1] = isl_space_curry(space->nested[1]);
2485 if (!space->nested[1])
2486 return isl_space_free(space);
2487
2488 return space;
2489 }
2490
2491 /* Can we apply isl_space_uncurry to "space"?
2492 * That is, does it have a nested relation in its range?
2493 */
2494 isl_bool isl_space_can_uncurry(__isl_keep isl_space *space)
2495 {
2496 if (!space)
2497 return isl_bool_error;
2498
2499 return !!space->nested[1];
2500 }
2501
2502 /* Given a space A -> (B -> C), return the corresponding space
2503 * (A -> B) -> C.
2504 */
2505 __isl_give isl_space *isl_space_uncurry(__isl_take isl_space *space)
2506 {
2507 isl_space *dom, *ran;
2508 isl_space *ran_dom, *ran_ran;
2509
2510 if (!space)
2511 return NULL;
2512
2513 if (!isl_space_can_uncurry(space))
2514 isl_die(space->ctx, isl_error_invalid,
2515 "space cannot be uncurried",
2516 return isl_space_free(space));
2517
2518 dom = isl_space_domain(isl_space_copy(space));
2519 ran = isl_space_unwrap(isl_space_range(space));
2520 ran_dom = isl_space_domain(isl_space_copy(ran));
2521 ran_ran = isl_space_range(ran);
2522 dom = isl_space_join(isl_space_from_domain(dom),
2523 isl_space_from_range(ran_dom));
2524 return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
2525 isl_space_from_range(ran_ran));
2526 }
2527
2528 isl_bool isl_space_has_named_params(__isl_keep isl_space *space)
2529 {
2530 int i;
2531 unsigned off;
2532
2533 if (!space)
2534 return isl_bool_error;
2535 if (space->nparam == 0)
2536 return isl_bool_true;
2537 off = isl_space_offset(space, isl_dim_param);
2538 if (off + space->nparam > space->n_id)
2539 return isl_bool_false;
2540 for (i = 0; i < space->nparam; ++i)
2541 if (!space->ids[off + i])
2542 return isl_bool_false;
2543 return isl_bool_true;
2544 }
2545
2546 /* Check that "space" has only named parameters, reporting an error
2547 * if it does not.
2548 */
2549 isl_stat isl_space_check_named_params(__isl_keep isl_space *space)
2550 {
2551 isl_bool named;
2552
2553 named = isl_space_has_named_params(space);
2554 if (named < 0)
2555 return isl_stat_error;
2556 if (!named)
2557 isl_die(isl_space_get_ctx(space), isl_error_invalid,
2558 "unexpected unnamed parameters", return isl_stat_error);
2559
2560 return isl_stat_ok;
2561 }
2562
2563 /* Align the initial parameters of space1 to match the order in space2.
2564 */
2565 __isl_give isl_space *isl_space_align_params(__isl_take isl_space *space1,
2566 __isl_take isl_space *space2)
2567 {
2568 isl_reordering *exp;
2569
2570 if (isl_space_check_named_params(space1) < 0 ||
2571 isl_space_check_named_params(space2) < 0)
2572 goto error;
2573
2574 exp = isl_parameter_alignment_reordering(space1, space2);
2575 exp = isl_reordering_extend_space(exp, space1);
2576 isl_space_free(space2);
2577 space1 = isl_reordering_get_space(exp);
2578 isl_reordering_free(exp);
2579 return space1;
2580 error:
2581 isl_space_free(space1);
2582 isl_space_free(space2);
2583 return NULL;
2584 }
2585
2586 /* Given the space of set (domain), construct a space for a map
2587 * with as domain the given space and as range the range of "model".
2588 */
2589 __isl_give isl_space *isl_space_extend_domain_with_range(
2590 __isl_take isl_space *space, __isl_take isl_space *model)
2591 {
2592 if (!model)
2593 goto error;
2594
2595 space = isl_space_from_domain(space);
2596 space = isl_space_add_dims(space, isl_dim_out,
2597 isl_space_dim(model, isl_dim_out));
2598 if (isl_space_has_tuple_id(model, isl_dim_out))
2599 space = isl_space_set_tuple_id(space, isl_dim_out,
2600 isl_space_get_tuple_id(model, isl_dim_out));
2601 if (!space)
2602 goto error;
2603 if (model->nested[1]) {
2604 isl_space *nested = isl_space_copy(model->nested[1]);
2605 int n_nested, n_space;
2606 nested = isl_space_align_params(nested, isl_space_copy(space));
2607 n_nested = isl_space_dim(nested, isl_dim_param);
2608 n_space = isl_space_dim(space, isl_dim_param);
2609 if (n_nested > n_space)
2610 nested = isl_space_drop_dims(nested, isl_dim_param,
2611 n_space, n_nested - n_space);
2612 if (!nested)
2613 goto error;
2614 space->nested[1] = nested;
2615 }
2616 isl_space_free(model);
2617 return space;
2618 error:
2619 isl_space_free(model);
2620 isl_space_free(space);
2621 return NULL;
2622 }
2623
2624 /* Compare the "type" dimensions of two isl_spaces.
2625 *
2626 * The order is fairly arbitrary.
2627 */
2628 static int isl_space_cmp_type(__isl_keep isl_space *space1,
2629 __isl_keep isl_space *space2, enum isl_dim_type type)
2630 {
2631 int cmp;
2632 isl_space *nested1, *nested2;
2633
2634 if (isl_space_dim(space1, type) != isl_space_dim(space2, type))
2635 return isl_space_dim(space1, type) -
2636 isl_space_dim(space2, type);
2637
2638 cmp = isl_id_cmp(tuple_id(space1, type), tuple_id(space2, type));
2639 if (cmp != 0)
2640 return cmp;
2641
2642 nested1 = nested(space1, type);
2643 nested2 = nested(space2, type);
2644 if (!nested1 != !nested2)
2645 return !nested1 - !nested2;
2646
2647 if (nested1)
2648 return isl_space_cmp(nested1, nested2);
2649
2650 return 0;
2651 }
2652
2653 /* Compare two isl_spaces.
2654 *
2655 * The order is fairly arbitrary.
2656 */
2657 int isl_space_cmp(__isl_keep isl_space *space1, __isl_keep isl_space *space2)
2658 {
2659 int i;
2660 int cmp;
2661
2662 if (space1 == space2)
2663 return 0;
2664 if (!space1)
2665 return -1;
2666 if (!space2)
2667 return 1;
2668
2669 cmp = isl_space_cmp_type(space1, space2, isl_dim_param);
2670 if (cmp != 0)
2671 return cmp;
2672 cmp = isl_space_cmp_type(space1, space2, isl_dim_in);
2673 if (cmp != 0)
2674 return cmp;
2675 cmp = isl_space_cmp_type(space1, space2, isl_dim_out);
2676 if (cmp != 0)
2677 return cmp;
2678
2679 if (!space1->ids && !space2->ids)
2680 return 0;
2681
2682 for (i = 0; i < n(space1, isl_dim_param); ++i) {
2683 cmp = isl_id_cmp(get_id(space1, isl_dim_param, i),
2684 get_id(space2, isl_dim_param, i));
2685 if (cmp != 0)
2686 return cmp;
2687 }
2688
2689 return 0;
2690 }
Integer set library