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add isl_basic_set_plain_affine_hull
[isl.git] / isl_space.c
blob78e25a3bd2c4d41a570ea2a22a9585ad952d4406
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 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 if (space->ids[offset + i]->name &&
677 !strcmp(space->ids[offset + i]->name, name))
678 return i;
679
680 return -1;
681 }
682
683 /* Reset the user pointer on all identifiers of parameters and tuples
684 * of "space".
685 */
686 __isl_give isl_space *isl_space_reset_user(__isl_take isl_space *space)
687 {
688 int i;
689 isl_ctx *ctx;
690 isl_id *id;
691 const char *name;
692
693 if (!space)
694 return NULL;
695
696 ctx = isl_space_get_ctx(space);
697
698 for (i = 0; i < space->nparam && i < space->n_id; ++i) {
699 if (!isl_id_get_user(space->ids[i]))
700 continue;
701 space = isl_space_cow(space);
702 if (!space)
703 return NULL;
704 name = isl_id_get_name(space->ids[i]);
705 id = isl_id_alloc(ctx, name, NULL);
706 isl_id_free(space->ids[i]);
707 space->ids[i] = id;
708 if (!id)
709 return isl_space_free(space);
710 }
711
712 for (i = 0; i < 2; ++i) {
713 if (!space->tuple_id[i])
714 continue;
715 if (!isl_id_get_user(space->tuple_id[i]))
716 continue;
717 space = isl_space_cow(space);
718 if (!space)
719 return NULL;
720 name = isl_id_get_name(space->tuple_id[i]);
721 id = isl_id_alloc(ctx, name, NULL);
722 isl_id_free(space->tuple_id[i]);
723 space->tuple_id[i] = id;
724 if (!id)
725 return isl_space_free(space);
726 }
727
728 for (i = 0; i < 2; ++i) {
729 if (!space->nested[i])
730 continue;
731 space = isl_space_cow(space);
732 if (!space)
733 return NULL;
734 space->nested[i] = isl_space_reset_user(space->nested[i]);
735 if (!space->nested[i])
736 return isl_space_free(space);
737 }
738
739 return space;
740 }
741
742 static __isl_keep isl_id *tuple_id(__isl_keep isl_space *dim,
743 enum isl_dim_type type)
744 {
745 if (!dim)
746 return NULL;
747 if (type == isl_dim_in)
748 return dim->tuple_id[0];
749 if (type == isl_dim_out)
750 return dim->tuple_id[1];
751 return NULL;
752 }
753
754 static __isl_keep isl_space *nested(__isl_keep isl_space *dim,
755 enum isl_dim_type type)
756 {
757 if (!dim)
758 return NULL;
759 if (type == isl_dim_in)
760 return dim->nested[0];
761 if (type == isl_dim_out)
762 return dim->nested[1];
763 return NULL;
764 }
765
766 /* Are the two spaces the same, apart from positions and names of parameters?
767 */
768 static int isl_space_has_equal_tuples(__isl_keep isl_space *space1,
769 __isl_keep isl_space *space2)
770 {
771 if (!space1 || !space2)
772 return -1;
773 if (space1 == space2)
774 return 1;
775 return isl_space_tuple_is_equal(space1, isl_dim_in,
776 space2, isl_dim_in) &&
777 isl_space_tuple_is_equal(space1, isl_dim_out,
778 space2, isl_dim_out);
779 }
780
781 /* Check if the tuple of type "type1" of "space1" is the same as
782 * the tuple of type "type2" of "space2".
783 *
784 * That is, check if the tuples have the same identifier, the same dimension
785 * and the same internal structure.
786 * The identifiers of the dimensions inside the tuples do not affect the result.
787 *
788 * Note that this function only checks the tuples themselves.
789 * If nested tuples are involved, then we need to be careful not
790 * to have result affected by possibly differing parameters
791 * in those nested tuples.
792 */
793 isl_bool isl_space_tuple_is_equal(__isl_keep isl_space *space1,
794 enum isl_dim_type type1, __isl_keep isl_space *space2,
795 enum isl_dim_type type2)
796 {
797 isl_id *id1, *id2;
798 isl_space *nested1, *nested2;
799
800 if (!space1 || !space2)
801 return isl_bool_error;
802
803 if (space1 == space2 && type1 == type2)
804 return isl_bool_true;
805
806 if (n(space1, type1) != n(space2, type2))
807 return isl_bool_false;
808 id1 = tuple_id(space1, type1);
809 id2 = tuple_id(space2, type2);
810 if (!id1 ^ !id2)
811 return isl_bool_false;
812 if (id1 && id1 != id2)
813 return isl_bool_false;
814 nested1 = nested(space1, type1);
815 nested2 = nested(space2, type2);
816 if (!nested1 ^ !nested2)
817 return isl_bool_false;
818 if (nested1 && !isl_space_has_equal_tuples(nested1, nested2))
819 return isl_bool_false;
820 return isl_bool_true;
821 }
822
823 /* This is the old, undocumented, name for isl_space_tuple_is_equal.
824 * It will be removed at some point.
825 */
826 int isl_space_tuple_match(__isl_keep isl_space *space1, enum isl_dim_type type1,
827 __isl_keep isl_space *space2, enum isl_dim_type type2)
828 {
829 return isl_space_tuple_is_equal(space1, type1, space2, type2);
830 }
831
832 static int match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
833 __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
834 {
835 int i;
836
837 if (dim1 == dim2 && dim1_type == dim2_type)
838 return 1;
839
840 if (!isl_space_tuple_is_equal(dim1, dim1_type, dim2, dim2_type))
841 return 0;
842
843 if (!dim1->ids && !dim2->ids)
844 return 1;
845
846 for (i = 0; i < n(dim1, dim1_type); ++i) {
847 if (get_id(dim1, dim1_type, i) != get_id(dim2, dim2_type, i))
848 return 0;
849 }
850 return 1;
851 }
852
853 int isl_space_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
854 __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
855 {
856 if (!dim1 || !dim2)
857 return -1;
858
859 return match(dim1, dim1_type, dim2, dim2_type);
860 }
861
862 static void get_ids(__isl_keep isl_space *dim, enum isl_dim_type type,
863 unsigned first, unsigned n, __isl_keep isl_id **ids)
864 {
865 int i;
866
867 for (i = 0; i < n ; ++i)
868 ids[i] = get_id(dim, type, first + i);
869 }
870
871 __isl_give isl_space *isl_space_extend(__isl_take isl_space *space,
872 unsigned nparam, unsigned n_in, unsigned n_out)
873 {
874 isl_id **ids = NULL;
875
876 if (!space)
877 return NULL;
878 if (space->nparam == nparam &&
879 space->n_in == n_in && space->n_out == n_out)
880 return space;
881
882 isl_assert(space->ctx, space->nparam <= nparam, goto error);
883 isl_assert(space->ctx, space->n_in <= n_in, goto error);
884 isl_assert(space->ctx, space->n_out <= n_out, goto error);
885
886 space = isl_space_cow(space);
887 if (!space)
888 goto error;
889
890 if (space->ids) {
891 unsigned n;
892 n = nparam + n_in + n_out;
893 if (n < nparam || n < n_in || n < n_out)
894 isl_die(isl_space_get_ctx(space), isl_error_invalid,
895 "overflow in total number of dimensions",
896 goto error);
897 ids = isl_calloc_array(space->ctx, isl_id *, n);
898 if (!ids)
899 goto error;
900 get_ids(space, isl_dim_param, 0, space->nparam, ids);
901 get_ids(space, isl_dim_in, 0, space->n_in, ids + nparam);
902 get_ids(space, isl_dim_out, 0, space->n_out,
903 ids + nparam + n_in);
904 free(space->ids);
905 space->ids = ids;
906 space->n_id = nparam + n_in + n_out;
907 }
908 space->nparam = nparam;
909 space->n_in = n_in;
910 space->n_out = n_out;
911
912 return space;
913 error:
914 free(ids);
915 isl_space_free(space);
916 return NULL;
917 }
918
919 __isl_give isl_space *isl_space_add_dims(__isl_take isl_space *dim,
920 enum isl_dim_type type, unsigned n)
921 {
922 dim = isl_space_reset(dim, type);
923 if (!dim)
924 return NULL;
925 switch (type) {
926 case isl_dim_param:
927 dim = isl_space_extend(dim,
928 dim->nparam + n, dim->n_in, dim->n_out);
929 if (dim && dim->nested[0] &&
930 !(dim->nested[0] = isl_space_add_dims(dim->nested[0],
931 isl_dim_param, n)))
932 goto error;
933 if (dim && dim->nested[1] &&
934 !(dim->nested[1] = isl_space_add_dims(dim->nested[1],
935 isl_dim_param, n)))
936 goto error;
937 return dim;
938 case isl_dim_in:
939 return isl_space_extend(dim,
940 dim->nparam, dim->n_in + n, dim->n_out);
941 case isl_dim_out:
942 return isl_space_extend(dim,
943 dim->nparam, dim->n_in, dim->n_out + n);
944 default:
945 isl_die(dim->ctx, isl_error_invalid,
946 "cannot add dimensions of specified type", goto error);
947 }
948 error:
949 isl_space_free(dim);
950 return NULL;
951 }
952
953 static int valid_dim_type(enum isl_dim_type type)
954 {
955 switch (type) {
956 case isl_dim_param:
957 case isl_dim_in:
958 case isl_dim_out:
959 return 1;
960 default:
961 return 0;
962 }
963 }
964
965 /* Insert "n" dimensions of type "type" at position "pos".
966 * If we are inserting parameters, then they are also inserted in
967 * any nested spaces.
968 */
969 __isl_give isl_space *isl_space_insert_dims(__isl_take isl_space *dim,
970 enum isl_dim_type type, unsigned pos, unsigned n)
971 {
972 isl_id **ids = NULL;
973
974 if (!dim)
975 return NULL;
976 if (n == 0)
977 return isl_space_reset(dim, type);
978
979 if (!valid_dim_type(type))
980 isl_die(dim->ctx, isl_error_invalid,
981 "cannot insert dimensions of specified type",
982 goto error);
983
984 isl_assert(dim->ctx, pos <= isl_space_dim(dim, type), goto error);
985
986 dim = isl_space_cow(dim);
987 if (!dim)
988 return NULL;
989
990 if (dim->ids) {
991 enum isl_dim_type t, o = isl_dim_param;
992 int off;
993 int s[3];
994 ids = isl_calloc_array(dim->ctx, isl_id *,
995 dim->nparam + dim->n_in + dim->n_out + n);
996 if (!ids)
997 goto error;
998 off = 0;
999 s[isl_dim_param - o] = dim->nparam;
1000 s[isl_dim_in - o] = dim->n_in;
1001 s[isl_dim_out - o] = dim->n_out;
1002 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
1003 if (t != type) {
1004 get_ids(dim, t, 0, s[t - o], ids + off);
1005 off += s[t - o];
1006 } else {
1007 get_ids(dim, t, 0, pos, ids + off);
1008 off += pos + n;
1009 get_ids(dim, t, pos, s[t - o] - pos, ids + off);
1010 off += s[t - o] - pos;
1011 }
1012 }
1013 free(dim->ids);
1014 dim->ids = ids;
1015 dim->n_id = dim->nparam + dim->n_in + dim->n_out + n;
1016 }
1017 switch (type) {
1018 case isl_dim_param: dim->nparam += n; break;
1019 case isl_dim_in: dim->n_in += n; break;
1020 case isl_dim_out: dim->n_out += n; break;
1021 default: ;
1022 }
1023 dim = isl_space_reset(dim, type);
1024
1025 if (type == isl_dim_param) {
1026 if (dim && dim->nested[0] &&
1027 !(dim->nested[0] = isl_space_insert_dims(dim->nested[0],
1028 isl_dim_param, pos, n)))
1029 goto error;
1030 if (dim && dim->nested[1] &&
1031 !(dim->nested[1] = isl_space_insert_dims(dim->nested[1],
1032 isl_dim_param, pos, n)))
1033 goto error;
1034 }
1035
1036 return dim;
1037 error:
1038 isl_space_free(dim);
1039 return NULL;
1040 }
1041
1042 __isl_give isl_space *isl_space_move_dims(__isl_take isl_space *dim,
1043 enum isl_dim_type dst_type, unsigned dst_pos,
1044 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1045 {
1046 int i;
1047
1048 if (!dim)
1049 return NULL;
1050 if (n == 0) {
1051 dim = isl_space_reset(dim, src_type);
1052 return isl_space_reset(dim, dst_type);
1053 }
1054
1055 isl_assert(dim->ctx, src_pos + n <= isl_space_dim(dim, src_type),
1056 goto error);
1057
1058 if (dst_type == src_type && dst_pos == src_pos)
1059 return dim;
1060
1061 isl_assert(dim->ctx, dst_type != src_type, goto error);
1062
1063 dim = isl_space_reset(dim, src_type);
1064 dim = isl_space_reset(dim, dst_type);
1065
1066 dim = isl_space_cow(dim);
1067 if (!dim)
1068 return NULL;
1069
1070 if (dim->ids) {
1071 isl_id **ids;
1072 enum isl_dim_type t, o = isl_dim_param;
1073 int off;
1074 int s[3];
1075 ids = isl_calloc_array(dim->ctx, isl_id *,
1076 dim->nparam + dim->n_in + dim->n_out);
1077 if (!ids)
1078 goto error;
1079 off = 0;
1080 s[isl_dim_param - o] = dim->nparam;
1081 s[isl_dim_in - o] = dim->n_in;
1082 s[isl_dim_out - o] = dim->n_out;
1083 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
1084 if (t == dst_type) {
1085 get_ids(dim, t, 0, dst_pos, ids + off);
1086 off += dst_pos;
1087 get_ids(dim, src_type, src_pos, n, ids + off);
1088 off += n;
1089 get_ids(dim, t, dst_pos, s[t - o] - dst_pos,
1090 ids + off);
1091 off += s[t - o] - dst_pos;
1092 } else if (t == src_type) {
1093 get_ids(dim, t, 0, src_pos, ids + off);
1094 off += src_pos;
1095 get_ids(dim, t, src_pos + n,
1096 s[t - o] - src_pos - n, ids + off);
1097 off += s[t - o] - src_pos - n;
1098 } else {
1099 get_ids(dim, t, 0, s[t - o], ids + off);
1100 off += s[t - o];
1101 }
1102 }
1103 free(dim->ids);
1104 dim->ids = ids;
1105 dim->n_id = dim->nparam + dim->n_in + dim->n_out;
1106 }
1107
1108 switch (dst_type) {
1109 case isl_dim_param: dim->nparam += n; break;
1110 case isl_dim_in: dim->n_in += n; break;
1111 case isl_dim_out: dim->n_out += n; break;
1112 default: ;
1113 }
1114
1115 switch (src_type) {
1116 case isl_dim_param: dim->nparam -= n; break;
1117 case isl_dim_in: dim->n_in -= n; break;
1118 case isl_dim_out: dim->n_out -= n; break;
1119 default: ;
1120 }
1121
1122 if (dst_type != isl_dim_param && src_type != isl_dim_param)
1123 return dim;
1124
1125 for (i = 0; i < 2; ++i) {
1126 if (!dim->nested[i])
1127 continue;
1128 dim->nested[i] = isl_space_replace(dim->nested[i],
1129 isl_dim_param, dim);
1130 if (!dim->nested[i])
1131 goto error;
1132 }
1133
1134 return dim;
1135 error:
1136 isl_space_free(dim);
1137 return NULL;
1138 }
1139
1140 __isl_give isl_space *isl_space_join(__isl_take isl_space *left,
1141 __isl_take isl_space *right)
1142 {
1143 isl_space *dim;
1144
1145 if (!left || !right)
1146 goto error;
1147
1148 isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1149 goto error);
1150 isl_assert(left->ctx,
1151 isl_space_tuple_is_equal(left, isl_dim_out, right, isl_dim_in),
1152 goto error);
1153
1154 dim = isl_space_alloc(left->ctx, left->nparam, left->n_in, right->n_out);
1155 if (!dim)
1156 goto error;
1157
1158 dim = copy_ids(dim, isl_dim_param, 0, left, isl_dim_param);
1159 dim = copy_ids(dim, isl_dim_in, 0, left, isl_dim_in);
1160 dim = copy_ids(dim, isl_dim_out, 0, right, isl_dim_out);
1161
1162 if (dim && left->tuple_id[0] &&
1163 !(dim->tuple_id[0] = isl_id_copy(left->tuple_id[0])))
1164 goto error;
1165 if (dim && right->tuple_id[1] &&
1166 !(dim->tuple_id[1] = isl_id_copy(right->tuple_id[1])))
1167 goto error;
1168 if (dim && left->nested[0] &&
1169 !(dim->nested[0] = isl_space_copy(left->nested[0])))
1170 goto error;
1171 if (dim && right->nested[1] &&
1172 !(dim->nested[1] = isl_space_copy(right->nested[1])))
1173 goto error;
1174
1175 isl_space_free(left);
1176 isl_space_free(right);
1177
1178 return dim;
1179 error:
1180 isl_space_free(left);
1181 isl_space_free(right);
1182 return NULL;
1183 }
1184
1185 /* Given two map spaces { A -> C } and { B -> D }, construct the space
1186 * { [A -> B] -> [C -> D] }.
1187 * Given two set spaces { A } and { B }, construct the space { [A -> B] }.
1188 */
1189 __isl_give isl_space *isl_space_product(__isl_take isl_space *left,
1190 __isl_take isl_space *right)
1191 {
1192 isl_space *dom1, *dom2, *nest1, *nest2;
1193 int is_set;
1194
1195 if (!left || !right)
1196 goto error;
1197
1198 is_set = isl_space_is_set(left);
1199 if (is_set != isl_space_is_set(right))
1200 isl_die(isl_space_get_ctx(left), isl_error_invalid,
1201 "expecting either two set spaces or two map spaces",
1202 goto error);
1203 if (is_set)
1204 return isl_space_range_product(left, right);
1205
1206 isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1207 goto error);
1208
1209 dom1 = isl_space_domain(isl_space_copy(left));
1210 dom2 = isl_space_domain(isl_space_copy(right));
1211 nest1 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1212
1213 dom1 = isl_space_range(left);
1214 dom2 = isl_space_range(right);
1215 nest2 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1216
1217 return isl_space_join(isl_space_reverse(nest1), nest2);
1218 error:
1219 isl_space_free(left);
1220 isl_space_free(right);
1221 return NULL;
1222 }
1223
1224 /* Given two spaces { A -> C } and { B -> C }, construct the space
1225 * { [A -> B] -> C }
1226 */
1227 __isl_give isl_space *isl_space_domain_product(__isl_take isl_space *left,
1228 __isl_take isl_space *right)
1229 {
1230 isl_space *ran, *dom1, *dom2, *nest;
1231
1232 if (!left || !right)
1233 goto error;
1234
1235 if (!match(left, isl_dim_param, right, isl_dim_param))
1236 isl_die(left->ctx, isl_error_invalid,
1237 "parameters need to match", goto error);
1238 if (!isl_space_tuple_is_equal(left, isl_dim_out, right, isl_dim_out))
1239 isl_die(left->ctx, isl_error_invalid,
1240 "ranges need to match", goto error);
1241
1242 ran = isl_space_range(isl_space_copy(left));
1243
1244 dom1 = isl_space_domain(left);
1245 dom2 = isl_space_domain(right);
1246 nest = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1247
1248 return isl_space_join(isl_space_reverse(nest), ran);
1249 error:
1250 isl_space_free(left);
1251 isl_space_free(right);
1252 return NULL;
1253 }
1254
1255 __isl_give isl_space *isl_space_range_product(__isl_take isl_space *left,
1256 __isl_take isl_space *right)
1257 {
1258 isl_space *dom, *ran1, *ran2, *nest;
1259
1260 if (!left || !right)
1261 goto error;
1262
1263 isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1264 goto error);
1265 if (!isl_space_tuple_is_equal(left, isl_dim_in, right, isl_dim_in))
1266 isl_die(left->ctx, isl_error_invalid,
1267 "domains need to match", goto error);
1268
1269 dom = isl_space_domain(isl_space_copy(left));
1270
1271 ran1 = isl_space_range(left);
1272 ran2 = isl_space_range(right);
1273 nest = isl_space_wrap(isl_space_join(isl_space_reverse(ran1), ran2));
1274
1275 return isl_space_join(isl_space_reverse(dom), nest);
1276 error:
1277 isl_space_free(left);
1278 isl_space_free(right);
1279 return NULL;
1280 }
1281
1282 /* Given a space of the form [A -> B] -> [C -> D], return the space A -> C.
1283 */
1284 __isl_give isl_space *isl_space_factor_domain(__isl_take isl_space *space)
1285 {
1286 space = isl_space_domain_factor_domain(space);
1287 space = isl_space_range_factor_domain(space);
1288 return space;
1289 }
1290
1291 /* Given a space of the form [A -> B] -> C, return the space A -> C.
1292 */
1293 __isl_give isl_space *isl_space_domain_factor_domain(
1294 __isl_take isl_space *space)
1295 {
1296 isl_space *nested;
1297 isl_space *domain;
1298
1299 if (!space)
1300 return NULL;
1301 if (!isl_space_domain_is_wrapping(space))
1302 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1303 "domain not a product", return isl_space_free(space));
1304
1305 nested = space->nested[0];
1306 domain = isl_space_copy(space);
1307 domain = isl_space_drop_dims(domain, isl_dim_in,
1308 nested->n_in, nested->n_out);
1309 if (!domain)
1310 return isl_space_free(space);
1311 if (nested->tuple_id[0]) {
1312 domain->tuple_id[0] = isl_id_copy(nested->tuple_id[0]);
1313 if (!domain->tuple_id[0])
1314 goto error;
1315 }
1316 if (nested->nested[0]) {
1317 domain->nested[0] = isl_space_copy(nested->nested[0]);
1318 if (!domain->nested[0])
1319 goto error;
1320 }
1321
1322 isl_space_free(space);
1323 return domain;
1324 error:
1325 isl_space_free(space);
1326 isl_space_free(domain);
1327 return NULL;
1328 }
1329
1330 /* Given a space of the form [A -> B] -> C, return the space B -> C.
1331 */
1332 __isl_give isl_space *isl_space_domain_factor_range(
1333 __isl_take isl_space *space)
1334 {
1335 isl_space *nested;
1336 isl_space *range;
1337
1338 if (!space)
1339 return NULL;
1340 if (!isl_space_domain_is_wrapping(space))
1341 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1342 "domain not a product", return isl_space_free(space));
1343
1344 nested = space->nested[0];
1345 range = isl_space_copy(space);
1346 range = isl_space_drop_dims(range, isl_dim_in, 0, nested->n_in);
1347 if (!range)
1348 return isl_space_free(space);
1349 if (nested->tuple_id[1]) {
1350 range->tuple_id[0] = isl_id_copy(nested->tuple_id[1]);
1351 if (!range->tuple_id[0])
1352 goto error;
1353 }
1354 if (nested->nested[1]) {
1355 range->nested[0] = isl_space_copy(nested->nested[1]);
1356 if (!range->nested[0])
1357 goto error;
1358 }
1359
1360 isl_space_free(space);
1361 return range;
1362 error:
1363 isl_space_free(space);
1364 isl_space_free(range);
1365 return NULL;
1366 }
1367
1368 /* Given a space of the form A -> [B -> C], return the space A -> B.
1369 */
1370 __isl_give isl_space *isl_space_range_factor_domain(
1371 __isl_take isl_space *space)
1372 {
1373 isl_space *nested;
1374 isl_space *domain;
1375
1376 if (!space)
1377 return NULL;
1378 if (!isl_space_range_is_wrapping(space))
1379 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1380 "range not a product", return isl_space_free(space));
1381
1382 nested = space->nested[1];
1383 domain = isl_space_copy(space);
1384 domain = isl_space_drop_dims(domain, isl_dim_out,
1385 nested->n_in, nested->n_out);
1386 if (!domain)
1387 return isl_space_free(space);
1388 if (nested->tuple_id[0]) {
1389 domain->tuple_id[1] = isl_id_copy(nested->tuple_id[0]);
1390 if (!domain->tuple_id[1])
1391 goto error;
1392 }
1393 if (nested->nested[0]) {
1394 domain->nested[1] = isl_space_copy(nested->nested[0]);
1395 if (!domain->nested[1])
1396 goto error;
1397 }
1398
1399 isl_space_free(space);
1400 return domain;
1401 error:
1402 isl_space_free(space);
1403 isl_space_free(domain);
1404 return NULL;
1405 }
1406
1407 /* Internal function that selects the range of the map that is
1408 * embedded in either a set space or the range of a map space.
1409 * In particular, given a space of the form [A -> B], return the space B.
1410 * Given a space of the form A -> [B -> C], return the space A -> C.
1411 */
1412 static __isl_give isl_space *range_factor_range(__isl_take isl_space *space)
1413 {
1414 isl_space *nested;
1415 isl_space *range;
1416
1417 if (!space)
1418 return NULL;
1419
1420 nested = space->nested[1];
1421 range = isl_space_copy(space);
1422 range = isl_space_drop_dims(range, isl_dim_out, 0, nested->n_in);
1423 if (!range)
1424 return isl_space_free(space);
1425 if (nested->tuple_id[1]) {
1426 range->tuple_id[1] = isl_id_copy(nested->tuple_id[1]);
1427 if (!range->tuple_id[1])
1428 goto error;
1429 }
1430 if (nested->nested[1]) {
1431 range->nested[1] = isl_space_copy(nested->nested[1]);
1432 if (!range->nested[1])
1433 goto error;
1434 }
1435
1436 isl_space_free(space);
1437 return range;
1438 error:
1439 isl_space_free(space);
1440 isl_space_free(range);
1441 return NULL;
1442 }
1443
1444 /* Given a space of the form A -> [B -> C], return the space A -> C.
1445 */
1446 __isl_give isl_space *isl_space_range_factor_range(
1447 __isl_take isl_space *space)
1448 {
1449 if (!space)
1450 return NULL;
1451 if (!isl_space_range_is_wrapping(space))
1452 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1453 "range not a product", return isl_space_free(space));
1454
1455 return range_factor_range(space);
1456 }
1457
1458 /* Given a space of the form [A -> B], return the space B.
1459 */
1460 static __isl_give isl_space *set_factor_range(__isl_take isl_space *space)
1461 {
1462 if (!space)
1463 return NULL;
1464 if (!isl_space_is_wrapping(space))
1465 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1466 "not a product", return isl_space_free(space));
1467
1468 return range_factor_range(space);
1469 }
1470
1471 /* Given a space of the form [A -> B] -> [C -> D], return the space B -> D.
1472 * Given a space of the form [A -> B], return the space B.
1473 */
1474 __isl_give isl_space *isl_space_factor_range(__isl_take isl_space *space)
1475 {
1476 if (!space)
1477 return NULL;
1478 if (isl_space_is_set(space))
1479 return set_factor_range(space);
1480 space = isl_space_domain_factor_range(space);
1481 space = isl_space_range_factor_range(space);
1482 return space;
1483 }
1484
1485 __isl_give isl_space *isl_space_map_from_set(__isl_take isl_space *dim)
1486 {
1487 isl_ctx *ctx;
1488 isl_id **ids = NULL;
1489
1490 if (!dim)
1491 return NULL;
1492 ctx = isl_space_get_ctx(dim);
1493 if (!isl_space_is_set(dim))
1494 isl_die(ctx, isl_error_invalid, "not a set space", goto error);
1495 dim = isl_space_cow(dim);
1496 if (!dim)
1497 return NULL;
1498 if (dim->ids) {
1499 ids = isl_calloc_array(dim->ctx, isl_id *,
1500 dim->nparam + dim->n_out + dim->n_out);
1501 if (!ids)
1502 goto error;
1503 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
1504 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->nparam);
1505 }
1506 dim->n_in = dim->n_out;
1507 if (ids) {
1508 free(dim->ids);
1509 dim->ids = ids;
1510 dim->n_id = dim->nparam + dim->n_out + dim->n_out;
1511 dim = copy_ids(dim, isl_dim_out, 0, dim, isl_dim_in);
1512 }
1513 isl_id_free(dim->tuple_id[0]);
1514 dim->tuple_id[0] = isl_id_copy(dim->tuple_id[1]);
1515 isl_space_free(dim->nested[0]);
1516 dim->nested[0] = isl_space_copy(dim->nested[1]);
1517 return dim;
1518 error:
1519 isl_space_free(dim);
1520 return NULL;
1521 }
1522
1523 __isl_give isl_space *isl_space_map_from_domain_and_range(
1524 __isl_take isl_space *domain, __isl_take isl_space *range)
1525 {
1526 if (!domain || !range)
1527 goto error;
1528 if (!isl_space_is_set(domain))
1529 isl_die(isl_space_get_ctx(domain), isl_error_invalid,
1530 "domain is not a set space", goto error);
1531 if (!isl_space_is_set(range))
1532 isl_die(isl_space_get_ctx(range), isl_error_invalid,
1533 "range is not a set space", goto error);
1534 return isl_space_join(isl_space_reverse(domain), range);
1535 error:
1536 isl_space_free(domain);
1537 isl_space_free(range);
1538 return NULL;
1539 }
1540
1541 static __isl_give isl_space *set_ids(__isl_take isl_space *dim,
1542 enum isl_dim_type type,
1543 unsigned first, unsigned n, __isl_take isl_id **ids)
1544 {
1545 int i;
1546
1547 for (i = 0; i < n ; ++i)
1548 dim = set_id(dim, type, first + i, ids[i]);
1549
1550 return dim;
1551 }
1552
1553 __isl_give isl_space *isl_space_reverse(__isl_take isl_space *dim)
1554 {
1555 unsigned t;
1556 isl_space *nested;
1557 isl_id **ids = NULL;
1558 isl_id *id;
1559
1560 if (!dim)
1561 return NULL;
1562 if (match(dim, isl_dim_in, dim, isl_dim_out))
1563 return dim;
1564
1565 dim = isl_space_cow(dim);
1566 if (!dim)
1567 return NULL;
1568
1569 id = dim->tuple_id[0];
1570 dim->tuple_id[0] = dim->tuple_id[1];
1571 dim->tuple_id[1] = id;
1572
1573 nested = dim->nested[0];
1574 dim->nested[0] = dim->nested[1];
1575 dim->nested[1] = nested;
1576
1577 if (dim->ids) {
1578 int n_id = dim->n_in + dim->n_out;
1579 ids = isl_alloc_array(dim->ctx, isl_id *, n_id);
1580 if (n_id && !ids)
1581 goto error;
1582 get_ids(dim, isl_dim_in, 0, dim->n_in, ids);
1583 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->n_in);
1584 }
1585
1586 t = dim->n_in;
1587 dim->n_in = dim->n_out;
1588 dim->n_out = t;
1589
1590 if (dim->ids) {
1591 dim = set_ids(dim, isl_dim_out, 0, dim->n_out, ids);
1592 dim = set_ids(dim, isl_dim_in, 0, dim->n_in, ids + dim->n_out);
1593 free(ids);
1594 }
1595
1596 return dim;
1597 error:
1598 free(ids);
1599 isl_space_free(dim);
1600 return NULL;
1601 }
1602
1603 __isl_give isl_space *isl_space_drop_dims(__isl_take isl_space *dim,
1604 enum isl_dim_type type, unsigned first, unsigned num)
1605 {
1606 int i;
1607
1608 if (!dim)
1609 return NULL;
1610
1611 if (num == 0)
1612 return isl_space_reset(dim, type);
1613
1614 if (!valid_dim_type(type))
1615 isl_die(dim->ctx, isl_error_invalid,
1616 "cannot drop dimensions of specified type", goto error);
1617
1618 if (first + num > n(dim, type) || first + num < first)
1619 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1620 "index out of bounds", return isl_space_free(dim));
1621 dim = isl_space_cow(dim);
1622 if (!dim)
1623 goto error;
1624 if (dim->ids) {
1625 dim = extend_ids(dim);
1626 if (!dim)
1627 goto error;
1628 for (i = 0; i < num; ++i)
1629 isl_id_free(get_id(dim, type, first + i));
1630 for (i = first+num; i < n(dim, type); ++i)
1631 set_id(dim, type, i - num, get_id(dim, type, i));
1632 switch (type) {
1633 case isl_dim_param:
1634 get_ids(dim, isl_dim_in, 0, dim->n_in,
1635 dim->ids + offset(dim, isl_dim_in) - num);
1636 case isl_dim_in:
1637 get_ids(dim, isl_dim_out, 0, dim->n_out,
1638 dim->ids + offset(dim, isl_dim_out) - num);
1639 default:
1640 ;
1641 }
1642 dim->n_id -= num;
1643 }
1644 switch (type) {
1645 case isl_dim_param: dim->nparam -= num; break;
1646 case isl_dim_in: dim->n_in -= num; break;
1647 case isl_dim_out: dim->n_out -= num; break;
1648 default: ;
1649 }
1650 dim = isl_space_reset(dim, type);
1651 if (type == isl_dim_param) {
1652 if (dim && dim->nested[0] &&
1653 !(dim->nested[0] = isl_space_drop_dims(dim->nested[0],
1654 isl_dim_param, first, num)))
1655 goto error;
1656 if (dim && dim->nested[1] &&
1657 !(dim->nested[1] = isl_space_drop_dims(dim->nested[1],
1658 isl_dim_param, first, num)))
1659 goto error;
1660 }
1661 return dim;
1662 error:
1663 isl_space_free(dim);
1664 return NULL;
1665 }
1666
1667 __isl_give isl_space *isl_space_drop_inputs(__isl_take isl_space *dim,
1668 unsigned first, unsigned n)
1669 {
1670 if (!dim)
1671 return NULL;
1672 return isl_space_drop_dims(dim, isl_dim_in, first, n);
1673 }
1674
1675 __isl_give isl_space *isl_space_drop_outputs(__isl_take isl_space *dim,
1676 unsigned first, unsigned n)
1677 {
1678 if (!dim)
1679 return NULL;
1680 return isl_space_drop_dims(dim, isl_dim_out, first, n);
1681 }
1682
1683 __isl_give isl_space *isl_space_domain(__isl_take isl_space *dim)
1684 {
1685 if (!dim)
1686 return NULL;
1687 dim = isl_space_drop_outputs(dim, 0, dim->n_out);
1688 dim = isl_space_reverse(dim);
1689 dim = mark_as_set(dim);
1690 return dim;
1691 }
1692
1693 __isl_give isl_space *isl_space_from_domain(__isl_take isl_space *dim)
1694 {
1695 if (!dim)
1696 return NULL;
1697 if (!isl_space_is_set(dim))
1698 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1699 "not a set space", goto error);
1700 dim = isl_space_reverse(dim);
1701 dim = isl_space_reset(dim, isl_dim_out);
1702 return dim;
1703 error:
1704 isl_space_free(dim);
1705 return NULL;
1706 }
1707
1708 __isl_give isl_space *isl_space_range(__isl_take isl_space *dim)
1709 {
1710 if (!dim)
1711 return NULL;
1712 dim = isl_space_drop_inputs(dim, 0, dim->n_in);
1713 dim = mark_as_set(dim);
1714 return dim;
1715 }
1716
1717 __isl_give isl_space *isl_space_from_range(__isl_take isl_space *dim)
1718 {
1719 if (!dim)
1720 return NULL;
1721 if (!isl_space_is_set(dim))
1722 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1723 "not a set space", goto error);
1724 return isl_space_reset(dim, isl_dim_in);
1725 error:
1726 isl_space_free(dim);
1727 return NULL;
1728 }
1729
1730 /* Given a map space A -> B, return the map space [A -> B] -> A.
1731 */
1732 __isl_give isl_space *isl_space_domain_map(__isl_take isl_space *space)
1733 {
1734 isl_space *domain;
1735
1736 domain = isl_space_from_range(isl_space_domain(isl_space_copy(space)));
1737 space = isl_space_from_domain(isl_space_wrap(space));
1738 space = isl_space_join(space, domain);
1739
1740 return space;
1741 }
1742
1743 /* Given a map space A -> B, return the map space [A -> B] -> B.
1744 */
1745 __isl_give isl_space *isl_space_range_map(__isl_take isl_space *space)
1746 {
1747 isl_space *range;
1748
1749 range = isl_space_from_range(isl_space_range(isl_space_copy(space)));
1750 space = isl_space_from_domain(isl_space_wrap(space));
1751 space = isl_space_join(space, range);
1752
1753 return space;
1754 }
1755
1756 __isl_give isl_space *isl_space_params(__isl_take isl_space *space)
1757 {
1758 if (isl_space_is_params(space))
1759 return space;
1760 space = isl_space_drop_dims(space,
1761 isl_dim_in, 0, isl_space_dim(space, isl_dim_in));
1762 space = isl_space_drop_dims(space,
1763 isl_dim_out, 0, isl_space_dim(space, isl_dim_out));
1764 space = mark_as_params(space);
1765 return space;
1766 }
1767
1768 __isl_give isl_space *isl_space_set_from_params(__isl_take isl_space *space)
1769 {
1770 if (!space)
1771 return NULL;
1772 if (!isl_space_is_params(space))
1773 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1774 "not a parameter space", goto error);
1775 return isl_space_reset(space, isl_dim_set);
1776 error:
1777 isl_space_free(space);
1778 return NULL;
1779 }
1780
1781 __isl_give isl_space *isl_space_as_set_space(__isl_take isl_space *dim)
1782 {
1783 dim = isl_space_cow(dim);
1784 if (!dim)
1785 return NULL;
1786
1787 dim->n_out += dim->n_in;
1788 dim->n_in = 0;
1789 dim = isl_space_reset(dim, isl_dim_in);
1790 dim = isl_space_reset(dim, isl_dim_out);
1791
1792 return dim;
1793 }
1794
1795 __isl_give isl_space *isl_space_underlying(__isl_take isl_space *dim,
1796 unsigned n_div)
1797 {
1798 int i;
1799
1800 if (!dim)
1801 return NULL;
1802 if (n_div == 0 &&
1803 dim->nparam == 0 && dim->n_in == 0 && dim->n_id == 0)
1804 return isl_space_reset(isl_space_reset(dim, isl_dim_in), isl_dim_out);
1805 dim = isl_space_cow(dim);
1806 if (!dim)
1807 return NULL;
1808 dim->n_out += dim->nparam + dim->n_in + n_div;
1809 dim->nparam = 0;
1810 dim->n_in = 0;
1811
1812 for (i = 0; i < dim->n_id; ++i)
1813 isl_id_free(get_id(dim, isl_dim_out, i));
1814 dim->n_id = 0;
1815 dim = isl_space_reset(dim, isl_dim_in);
1816 dim = isl_space_reset(dim, isl_dim_out);
1817
1818 return dim;
1819 }
1820
1821 /* Are the two spaces the same, including positions and names of parameters?
1822 */
1823 isl_bool isl_space_is_equal(__isl_keep isl_space *dim1,
1824 __isl_keep isl_space *dim2)
1825 {
1826 if (!dim1 || !dim2)
1827 return isl_bool_error;
1828 if (dim1 == dim2)
1829 return isl_bool_true;
1830 return match(dim1, isl_dim_param, dim2, isl_dim_param) &&
1831 isl_space_tuple_is_equal(dim1, isl_dim_in, dim2, isl_dim_in) &&
1832 isl_space_tuple_is_equal(dim1, isl_dim_out, dim2, isl_dim_out);
1833 }
1834
1835 /* Is space1 equal to the domain of space2?
1836 *
1837 * In the internal version we also allow space2 to be the space of a set,
1838 * provided space1 is a parameter space.
1839 */
1840 isl_bool isl_space_is_domain_internal(__isl_keep isl_space *space1,
1841 __isl_keep isl_space *space2)
1842 {
1843 if (!space1 || !space2)
1844 return isl_bool_error;
1845 if (!isl_space_is_set(space1))
1846 return isl_bool_false;
1847 return match(space1, isl_dim_param, space2, isl_dim_param) &&
1848 isl_space_tuple_is_equal(space1, isl_dim_set,
1849 space2, isl_dim_in);
1850 }
1851
1852 /* Is space1 equal to the domain of space2?
1853 */
1854 isl_bool isl_space_is_domain(__isl_keep isl_space *space1,
1855 __isl_keep isl_space *space2)
1856 {
1857 if (!space2)
1858 return isl_bool_error;
1859 if (!isl_space_is_map(space2))
1860 return isl_bool_false;
1861 return isl_space_is_domain_internal(space1, space2);
1862 }
1863
1864 /* Is space1 equal to the range of space2?
1865 *
1866 * In the internal version, space2 is allowed to be the space of a set,
1867 * in which case it should be equal to space1.
1868 */
1869 isl_bool isl_space_is_range_internal(__isl_keep isl_space *space1,
1870 __isl_keep isl_space *space2)
1871 {
1872 if (!space1 || !space2)
1873 return isl_bool_error;
1874 if (!isl_space_is_set(space1))
1875 return isl_bool_false;
1876 return match(space1, isl_dim_param, space2, isl_dim_param) &&
1877 isl_space_tuple_is_equal(space1, isl_dim_set,
1878 space2, isl_dim_out);
1879 }
1880
1881 /* Is space1 equal to the range of space2?
1882 */
1883 isl_bool isl_space_is_range(__isl_keep isl_space *space1,
1884 __isl_keep isl_space *space2)
1885 {
1886 if (!space2)
1887 return isl_bool_error;
1888 if (!isl_space_is_map(space2))
1889 return isl_bool_false;
1890 return isl_space_is_range_internal(space1, space2);
1891 }
1892
1893 int isl_space_compatible(__isl_keep isl_space *dim1,
1894 __isl_keep isl_space *dim2)
1895 {
1896 return dim1->nparam == dim2->nparam &&
1897 dim1->n_in + dim1->n_out == dim2->n_in + dim2->n_out;
1898 }
1899
1900 /* Update "hash" by hashing in "space".
1901 * Changes in this function should be reflected in isl_hash_space_domain.
1902 */
1903 static uint32_t isl_hash_space(uint32_t hash, __isl_keep isl_space *space)
1904 {
1905 int i;
1906 isl_id *id;
1907
1908 if (!space)
1909 return hash;
1910
1911 isl_hash_byte(hash, space->nparam % 256);
1912 isl_hash_byte(hash, space->n_in % 256);
1913 isl_hash_byte(hash, space->n_out % 256);
1914
1915 for (i = 0; i < space->nparam; ++i) {
1916 id = get_id(space, isl_dim_param, i);
1917 hash = isl_hash_id(hash, id);
1918 }
1919
1920 id = tuple_id(space, isl_dim_in);
1921 hash = isl_hash_id(hash, id);
1922 id = tuple_id(space, isl_dim_out);
1923 hash = isl_hash_id(hash, id);
1924
1925 hash = isl_hash_space(hash, space->nested[0]);
1926 hash = isl_hash_space(hash, space->nested[1]);
1927
1928 return hash;
1929 }
1930
1931 /* Update "hash" by hashing in the domain of "space".
1932 * The result of this function is equal to the result of applying
1933 * isl_hash_space to the domain of "space".
1934 */
1935 static uint32_t isl_hash_space_domain(uint32_t hash,
1936 __isl_keep isl_space *space)
1937 {
1938 int i;
1939 isl_id *id;
1940
1941 if (!space)
1942 return hash;
1943
1944 isl_hash_byte(hash, space->nparam % 256);
1945 isl_hash_byte(hash, 0);
1946 isl_hash_byte(hash, space->n_in % 256);
1947
1948 for (i = 0; i < space->nparam; ++i) {
1949 id = get_id(space, isl_dim_param, i);
1950 hash = isl_hash_id(hash, id);
1951 }
1952
1953 hash = isl_hash_id(hash, &isl_id_none);
1954 id = tuple_id(space, isl_dim_in);
1955 hash = isl_hash_id(hash, id);
1956
1957 hash = isl_hash_space(hash, space->nested[0]);
1958
1959 return hash;
1960 }
1961
1962 uint32_t isl_space_get_hash(__isl_keep isl_space *dim)
1963 {
1964 uint32_t hash;
1965
1966 if (!dim)
1967 return 0;
1968
1969 hash = isl_hash_init();
1970 hash = isl_hash_space(hash, dim);
1971
1972 return hash;
1973 }
1974
1975 /* Return the hash value of the domain of "space".
1976 * That is, isl_space_get_domain_hash(space) is equal to
1977 * isl_space_get_hash(isl_space_domain(space)).
1978 */
1979 uint32_t isl_space_get_domain_hash(__isl_keep isl_space *space)
1980 {
1981 uint32_t hash;
1982
1983 if (!space)
1984 return 0;
1985
1986 hash = isl_hash_init();
1987 hash = isl_hash_space_domain(hash, space);
1988
1989 return hash;
1990 }
1991
1992 isl_bool isl_space_is_wrapping(__isl_keep isl_space *dim)
1993 {
1994 if (!dim)
1995 return isl_bool_error;
1996
1997 if (!isl_space_is_set(dim))
1998 return isl_bool_false;
1999
2000 return dim->nested[1] != NULL;
2001 }
2002
2003 /* Is "space" the space of a map where the domain is a wrapped map space?
2004 */
2005 isl_bool isl_space_domain_is_wrapping(__isl_keep isl_space *space)
2006 {
2007 if (!space)
2008 return isl_bool_error;
2009
2010 if (isl_space_is_set(space))
2011 return isl_bool_false;
2012
2013 return space->nested[0] != NULL;
2014 }
2015
2016 /* Is "space" the space of a map where the range is a wrapped map space?
2017 */
2018 isl_bool isl_space_range_is_wrapping(__isl_keep isl_space *space)
2019 {
2020 if (!space)
2021 return isl_bool_error;
2022
2023 if (isl_space_is_set(space))
2024 return isl_bool_false;
2025
2026 return space->nested[1] != NULL;
2027 }
2028
2029 __isl_give isl_space *isl_space_wrap(__isl_take isl_space *dim)
2030 {
2031 isl_space *wrap;
2032
2033 if (!dim)
2034 return NULL;
2035
2036 wrap = isl_space_set_alloc(dim->ctx,
2037 dim->nparam, dim->n_in + dim->n_out);
2038
2039 wrap = copy_ids(wrap, isl_dim_param, 0, dim, isl_dim_param);
2040 wrap = copy_ids(wrap, isl_dim_set, 0, dim, isl_dim_in);
2041 wrap = copy_ids(wrap, isl_dim_set, dim->n_in, dim, isl_dim_out);
2042
2043 if (!wrap)
2044 goto error;
2045
2046 wrap->nested[1] = dim;
2047
2048 return wrap;
2049 error:
2050 isl_space_free(dim);
2051 return NULL;
2052 }
2053
2054 __isl_give isl_space *isl_space_unwrap(__isl_take isl_space *dim)
2055 {
2056 isl_space *unwrap;
2057
2058 if (!dim)
2059 return NULL;
2060
2061 if (!isl_space_is_wrapping(dim))
2062 isl_die(dim->ctx, isl_error_invalid, "not a wrapping space",
2063 goto error);
2064
2065 unwrap = isl_space_copy(dim->nested[1]);
2066 isl_space_free(dim);
2067
2068 return unwrap;
2069 error:
2070 isl_space_free(dim);
2071 return NULL;
2072 }
2073
2074 int isl_space_is_named_or_nested(__isl_keep isl_space *dim, enum isl_dim_type type)
2075 {
2076 if (type != isl_dim_in && type != isl_dim_out)
2077 return 0;
2078 if (!dim)
2079 return -1;
2080 if (dim->tuple_id[type - isl_dim_in])
2081 return 1;
2082 if (dim->nested[type - isl_dim_in])
2083 return 1;
2084 return 0;
2085 }
2086
2087 int isl_space_may_be_set(__isl_keep isl_space *dim)
2088 {
2089 if (!dim)
2090 return -1;
2091 if (isl_space_is_set(dim))
2092 return 1;
2093 if (isl_space_dim(dim, isl_dim_in) != 0)
2094 return 0;
2095 if (isl_space_is_named_or_nested(dim, isl_dim_in))
2096 return 0;
2097 return 1;
2098 }
2099
2100 __isl_give isl_space *isl_space_reset(__isl_take isl_space *dim,
2101 enum isl_dim_type type)
2102 {
2103 if (!isl_space_is_named_or_nested(dim, type))
2104 return dim;
2105
2106 dim = isl_space_cow(dim);
2107 if (!dim)
2108 return NULL;
2109
2110 isl_id_free(dim->tuple_id[type - isl_dim_in]);
2111 dim->tuple_id[type - isl_dim_in] = NULL;
2112 isl_space_free(dim->nested[type - isl_dim_in]);
2113 dim->nested[type - isl_dim_in] = NULL;
2114
2115 return dim;
2116 }
2117
2118 __isl_give isl_space *isl_space_flatten(__isl_take isl_space *dim)
2119 {
2120 if (!dim)
2121 return NULL;
2122 if (!dim->nested[0] && !dim->nested[1])
2123 return dim;
2124
2125 if (dim->nested[0])
2126 dim = isl_space_reset(dim, isl_dim_in);
2127 if (dim && dim->nested[1])
2128 dim = isl_space_reset(dim, isl_dim_out);
2129
2130 return dim;
2131 }
2132
2133 __isl_give isl_space *isl_space_flatten_domain(__isl_take isl_space *dim)
2134 {
2135 if (!dim)
2136 return NULL;
2137 if (!dim->nested[0])
2138 return dim;
2139
2140 return isl_space_reset(dim, isl_dim_in);
2141 }
2142
2143 __isl_give isl_space *isl_space_flatten_range(__isl_take isl_space *dim)
2144 {
2145 if (!dim)
2146 return NULL;
2147 if (!dim->nested[1])
2148 return dim;
2149
2150 return isl_space_reset(dim, isl_dim_out);
2151 }
2152
2153 /* Replace the dimensions of the given type of dst by those of src.
2154 */
2155 __isl_give isl_space *isl_space_replace(__isl_take isl_space *dst,
2156 enum isl_dim_type type, __isl_keep isl_space *src)
2157 {
2158 dst = isl_space_cow(dst);
2159
2160 if (!dst || !src)
2161 goto error;
2162
2163 dst = isl_space_drop_dims(dst, type, 0, isl_space_dim(dst, type));
2164 dst = isl_space_add_dims(dst, type, isl_space_dim(src, type));
2165 dst = copy_ids(dst, type, 0, src, type);
2166
2167 if (dst && type == isl_dim_param) {
2168 int i;
2169 for (i = 0; i <= 1; ++i) {
2170 if (!dst->nested[i])
2171 continue;
2172 dst->nested[i] = isl_space_replace(dst->nested[i],
2173 type, src);
2174 if (!dst->nested[i])
2175 goto error;
2176 }
2177 }
2178
2179 return dst;
2180 error:
2181 isl_space_free(dst);
2182 return NULL;
2183 }
2184
2185 /* Given a dimension specification "dim" of a set, create a dimension
2186 * specification for the lift of the set. In particular, the result
2187 * is of the form [dim -> local[..]], with n_local variables in the
2188 * range of the wrapped map.
2189 */
2190 __isl_give isl_space *isl_space_lift(__isl_take isl_space *dim, unsigned n_local)
2191 {
2192 isl_space *local_dim;
2193
2194 if (!dim)
2195 return NULL;
2196
2197 local_dim = isl_space_dup(dim);
2198 local_dim = isl_space_drop_dims(local_dim, isl_dim_set, 0, dim->n_out);
2199 local_dim = isl_space_add_dims(local_dim, isl_dim_set, n_local);
2200 local_dim = isl_space_set_tuple_name(local_dim, isl_dim_set, "local");
2201 dim = isl_space_join(isl_space_from_domain(dim),
2202 isl_space_from_range(local_dim));
2203 dim = isl_space_wrap(dim);
2204 dim = isl_space_set_tuple_name(dim, isl_dim_set, "lifted");
2205
2206 return dim;
2207 }
2208
2209 isl_bool isl_space_can_zip(__isl_keep isl_space *dim)
2210 {
2211 if (!dim)
2212 return isl_bool_error;
2213
2214 return dim->nested[0] && dim->nested[1];
2215 }
2216
2217 __isl_give isl_space *isl_space_zip(__isl_take isl_space *dim)
2218 {
2219 isl_space *dom, *ran;
2220 isl_space *dom_dom, *dom_ran, *ran_dom, *ran_ran;
2221
2222 if (!isl_space_can_zip(dim))
2223 isl_die(dim->ctx, isl_error_invalid, "dim cannot be zipped",
2224 goto error);
2225
2226 if (!dim)
2227 return NULL;
2228 dom = isl_space_unwrap(isl_space_domain(isl_space_copy(dim)));
2229 ran = isl_space_unwrap(isl_space_range(dim));
2230 dom_dom = isl_space_domain(isl_space_copy(dom));
2231 dom_ran = isl_space_range(dom);
2232 ran_dom = isl_space_domain(isl_space_copy(ran));
2233 ran_ran = isl_space_range(ran);
2234 dom = isl_space_join(isl_space_from_domain(dom_dom),
2235 isl_space_from_range(ran_dom));
2236 ran = isl_space_join(isl_space_from_domain(dom_ran),
2237 isl_space_from_range(ran_ran));
2238 return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
2239 isl_space_from_range(isl_space_wrap(ran)));
2240 error:
2241 isl_space_free(dim);
2242 return NULL;
2243 }
2244
2245 /* Can we apply isl_space_curry to "space"?
2246 * That is, does it have a nested relation in its domain?
2247 */
2248 isl_bool isl_space_can_curry(__isl_keep isl_space *space)
2249 {
2250 if (!space)
2251 return isl_bool_error;
2252
2253 return !!space->nested[0];
2254 }
2255
2256 /* Given a space (A -> B) -> C, return the corresponding space
2257 * A -> (B -> C).
2258 */
2259 __isl_give isl_space *isl_space_curry(__isl_take isl_space *space)
2260 {
2261 isl_space *dom, *ran;
2262 isl_space *dom_dom, *dom_ran;
2263
2264 if (!space)
2265 return NULL;
2266
2267 if (!isl_space_can_curry(space))
2268 isl_die(space->ctx, isl_error_invalid,
2269 "space cannot be curried", goto error);
2270
2271 dom = isl_space_unwrap(isl_space_domain(isl_space_copy(space)));
2272 ran = isl_space_range(space);
2273 dom_dom = isl_space_domain(isl_space_copy(dom));
2274 dom_ran = isl_space_range(dom);
2275 ran = isl_space_join(isl_space_from_domain(dom_ran),
2276 isl_space_from_range(ran));
2277 return isl_space_join(isl_space_from_domain(dom_dom),
2278 isl_space_from_range(isl_space_wrap(ran)));
2279 error:
2280 isl_space_free(space);
2281 return NULL;
2282 }
2283
2284 /* Can we apply isl_space_uncurry to "space"?
2285 * That is, does it have a nested relation in its range?
2286 */
2287 isl_bool isl_space_can_uncurry(__isl_keep isl_space *space)
2288 {
2289 if (!space)
2290 return isl_bool_error;
2291
2292 return !!space->nested[1];
2293 }
2294
2295 /* Given a space A -> (B -> C), return the corresponding space
2296 * (A -> B) -> C.
2297 */
2298 __isl_give isl_space *isl_space_uncurry(__isl_take isl_space *space)
2299 {
2300 isl_space *dom, *ran;
2301 isl_space *ran_dom, *ran_ran;
2302
2303 if (!space)
2304 return NULL;
2305
2306 if (!isl_space_can_uncurry(space))
2307 isl_die(space->ctx, isl_error_invalid,
2308 "space cannot be uncurried",
2309 return isl_space_free(space));
2310
2311 dom = isl_space_domain(isl_space_copy(space));
2312 ran = isl_space_unwrap(isl_space_range(space));
2313 ran_dom = isl_space_domain(isl_space_copy(ran));
2314 ran_ran = isl_space_range(ran);
2315 dom = isl_space_join(isl_space_from_domain(dom),
2316 isl_space_from_range(ran_dom));
2317 return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
2318 isl_space_from_range(ran_ran));
2319 }
2320
2321 int isl_space_has_named_params(__isl_keep isl_space *dim)
2322 {
2323 int i;
2324 unsigned off;
2325
2326 if (!dim)
2327 return -1;
2328 if (dim->nparam == 0)
2329 return 1;
2330 off = isl_space_offset(dim, isl_dim_param);
2331 if (off + dim->nparam > dim->n_id)
2332 return 0;
2333 for (i = 0; i < dim->nparam; ++i)
2334 if (!dim->ids[off + i])
2335 return 0;
2336 return 1;
2337 }
2338
2339 /* Align the initial parameters of dim1 to match the order in dim2.
2340 */
2341 __isl_give isl_space *isl_space_align_params(__isl_take isl_space *dim1,
2342 __isl_take isl_space *dim2)
2343 {
2344 isl_reordering *exp;
2345
2346 if (!isl_space_has_named_params(dim1) || !isl_space_has_named_params(dim2))
2347 isl_die(isl_space_get_ctx(dim1), isl_error_invalid,
2348 "parameter alignment requires named parameters",
2349 goto error);
2350
2351 dim2 = isl_space_params(dim2);
2352 exp = isl_parameter_alignment_reordering(dim1, dim2);
2353 exp = isl_reordering_extend_space(exp, dim1);
2354 isl_space_free(dim2);
2355 if (!exp)
2356 return NULL;
2357 dim1 = isl_space_copy(exp->dim);
2358 isl_reordering_free(exp);
2359 return dim1;
2360 error:
2361 isl_space_free(dim1);
2362 isl_space_free(dim2);
2363 return NULL;
2364 }
2365
2366 /* Given the space of set (domain), construct a space for a map
2367 * with as domain the given space and as range the range of "model".
2368 */
2369 __isl_give isl_space *isl_space_extend_domain_with_range(
2370 __isl_take isl_space *space, __isl_take isl_space *model)
2371 {
2372 if (!model)
2373 goto error;
2374
2375 space = isl_space_from_domain(space);
2376 space = isl_space_add_dims(space, isl_dim_out,
2377 isl_space_dim(model, isl_dim_out));
2378 if (isl_space_has_tuple_id(model, isl_dim_out))
2379 space = isl_space_set_tuple_id(space, isl_dim_out,
2380 isl_space_get_tuple_id(model, isl_dim_out));
2381 if (!space)
2382 goto error;
2383 if (model->nested[1]) {
2384 isl_space *nested = isl_space_copy(model->nested[1]);
2385 int n_nested, n_space;
2386 nested = isl_space_align_params(nested, isl_space_copy(space));
2387 n_nested = isl_space_dim(nested, isl_dim_param);
2388 n_space = isl_space_dim(space, isl_dim_param);
2389 if (n_nested > n_space)
2390 nested = isl_space_drop_dims(nested, isl_dim_param,
2391 n_space, n_nested - n_space);
2392 if (!nested)
2393 goto error;
2394 space->nested[1] = nested;
2395 }
2396 isl_space_free(model);
2397 return space;
2398 error:
2399 isl_space_free(model);
2400 isl_space_free(space);
2401 return NULL;
2402 }
2403
2404 /* Compare the "type" dimensions of two isl_spaces.
2405 *
2406 * The order is fairly arbitrary.
2407 */
2408 static int isl_space_cmp_type(__isl_keep isl_space *space1,
2409 __isl_keep isl_space *space2, enum isl_dim_type type)
2410 {
2411 int cmp;
2412 isl_space *nested1, *nested2;
2413
2414 if (isl_space_dim(space1, type) != isl_space_dim(space2, type))
2415 return isl_space_dim(space1, type) -
2416 isl_space_dim(space2, type);
2417
2418 cmp = isl_id_cmp(tuple_id(space1, type), tuple_id(space2, type));
2419 if (cmp != 0)
2420 return cmp;
2421
2422 nested1 = nested(space1, type);
2423 nested2 = nested(space2, type);
2424 if (!nested1 != !nested2)
2425 return !nested1 - !nested2;
2426
2427 if (nested1)
2428 return isl_space_cmp(nested1, nested2);
2429
2430 return 0;
2431 }
2432
2433 /* Compare two isl_spaces.
2434 *
2435 * The order is fairly arbitrary.
2436 */
2437 int isl_space_cmp(__isl_keep isl_space *space1, __isl_keep isl_space *space2)
2438 {
2439 int i;
2440 int cmp;
2441
2442 if (space1 == space2)
2443 return 0;
2444 if (!space1)
2445 return -1;
2446 if (!space2)
2447 return 1;
2448
2449 cmp = isl_space_cmp_type(space1, space2, isl_dim_param);
2450 if (cmp != 0)
2451 return cmp;
2452 cmp = isl_space_cmp_type(space1, space2, isl_dim_in);
2453 if (cmp != 0)
2454 return cmp;
2455 cmp = isl_space_cmp_type(space1, space2, isl_dim_out);
2456 if (cmp != 0)
2457 return cmp;
2458
2459 if (!space1->ids && !space2->ids)
2460 return 0;
2461
2462 for (i = 0; i < n(space1, isl_dim_param); ++i) {
2463 cmp = isl_id_cmp(get_id(space1, isl_dim_param, i),
2464 get_id(space2, isl_dim_param, i));
2465 if (cmp != 0)
2466 return cmp;
2467 }
2468
2469 return 0;
2470 }
Integer set library