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1 office 1 /*
2 * Copyright 2008-2009 Katholieke Universiteit Leuven
3 * Copyright 2010 INRIA Saclay
4 *
5 * Use of this software is governed by the GNU LGPLv2.1 license
6 *
7 * Written by Sven Verdoolaege, K.U.Leuven, Departement
8 * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
9 * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
10 * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
11 */
12  
13 #include <stdlib.h>
14 #include <isl_space_private.h>
15 #include <isl_id_private.h>
16 #include <isl_reordering.h>
17  
18 isl_ctx *isl_space_get_ctx(__isl_keep isl_space *dim)
19 {
20 return dim ? dim->ctx : NULL;
21 }
22  
23 __isl_give isl_space *isl_space_alloc(isl_ctx *ctx,
24 unsigned nparam, unsigned n_in, unsigned n_out)
25 {
26 isl_space *dim;
27  
28 dim = isl_alloc_type(ctx, struct isl_space);
29 if (!dim)
30 return NULL;
31  
32 dim->ctx = ctx;
33 isl_ctx_ref(ctx);
34 dim->ref = 1;
35 dim->nparam = nparam;
36 dim->n_in = n_in;
37 dim->n_out = n_out;
38  
39 dim->tuple_id[0] = NULL;
40 dim->tuple_id[1] = NULL;
41  
42 dim->nested[0] = NULL;
43 dim->nested[1] = NULL;
44  
45 dim->n_id = 0;
46 dim->ids = NULL;
47  
48 return dim;
49 }
50  
51 /* Mark the space as being that of a set, by setting the domain tuple
52 * to isl_id_none.
53 */
54 static __isl_give isl_space *mark_as_set(__isl_take isl_space *space)
55 {
56 space = isl_space_cow(space);
57 if (!space)
58 return NULL;
59 space = isl_space_set_tuple_id(space, isl_dim_in, &isl_id_none);
60 return space;
61 }
62  
63 /* Is the space that of a set?
64 */
65 int isl_space_is_set(__isl_keep isl_space *space)
66 {
67 if (!space)
68 return -1;
69 if (space->n_in != 0 || space->nested[0])
70 return 0;
71 if (space->tuple_id[0] != &isl_id_none)
72 return 0;
73 return 1;
74 }
75  
76 __isl_give isl_space *isl_space_set_alloc(isl_ctx *ctx,
77 unsigned nparam, unsigned dim)
78 {
79 isl_space *space;
80 space = isl_space_alloc(ctx, nparam, 0, dim);
81 space = mark_as_set(space);
82 return space;
83 }
84  
85 /* Mark the space as being that of a parameter domain, by setting
86 * both tuples to isl_id_none.
87 */
88 static __isl_give isl_space *mark_as_params(isl_space *space)
89 {
90 if (!space)
91 return NULL;
92 space = isl_space_set_tuple_id(space, isl_dim_in, &isl_id_none);
93 space = isl_space_set_tuple_id(space, isl_dim_out, &isl_id_none);
94 return space;
95 }
96  
97 /* Is the space that of a parameter domain?
98 */
99 int isl_space_is_params(__isl_keep isl_space *space)
100 {
101 if (!space)
102 return -1;
103 if (space->n_in != 0 || space->nested[0] ||
104 space->n_out != 0 || space->nested[1])
105 return 0;
106 if (space->tuple_id[0] != &isl_id_none)
107 return 0;
108 if (space->tuple_id[1] != &isl_id_none)
109 return 0;
110 return 1;
111 }
112  
113 /* Create a space for a parameter domain.
114 */
115 __isl_give isl_space *isl_space_params_alloc(isl_ctx *ctx, unsigned nparam)
116 {
117 isl_space *space;
118 space = isl_space_alloc(ctx, nparam, 0, 0);
119 space = mark_as_params(space);
120 return space;
121 }
122  
123 static unsigned global_pos(__isl_keep isl_space *dim,
124 enum isl_dim_type type, unsigned pos)
125 {
126 struct isl_ctx *ctx = dim->ctx;
127  
128 switch (type) {
129 case isl_dim_param:
130 isl_assert(ctx, pos < dim->nparam,
131 return isl_space_dim(dim, isl_dim_all));
132 return pos;
133 case isl_dim_in:
134 isl_assert(ctx, pos < dim->n_in,
135 return isl_space_dim(dim, isl_dim_all));
136 return pos + dim->nparam;
137 case isl_dim_out:
138 isl_assert(ctx, pos < dim->n_out,
139 return isl_space_dim(dim, isl_dim_all));
140 return pos + dim->nparam + dim->n_in;
141 default:
142 isl_assert(ctx, 0, return isl_space_dim(dim, isl_dim_all));
143 }
144 return isl_space_dim(dim, isl_dim_all);
145 }
146  
147 /* Extend length of ids array to the total number of dimensions.
148 */
149 static __isl_give isl_space *extend_ids(__isl_take isl_space *dim)
150 {
151 isl_id **ids;
152 int i;
153  
154 if (isl_space_dim(dim, isl_dim_all) <= dim->n_id)
155 return dim;
156  
157 if (!dim->ids) {
158 dim->ids = isl_calloc_array(dim->ctx,
159 isl_id *, isl_space_dim(dim, isl_dim_all));
160 if (!dim->ids)
161 goto error;
162 } else {
163 ids = isl_realloc_array(dim->ctx, dim->ids,
164 isl_id *, isl_space_dim(dim, isl_dim_all));
165 if (!ids)
166 goto error;
167 dim->ids = ids;
168 for (i = dim->n_id; i < isl_space_dim(dim, isl_dim_all); ++i)
169 dim->ids[i] = NULL;
170 }
171  
172 dim->n_id = isl_space_dim(dim, isl_dim_all);
173  
174 return dim;
175 error:
176 isl_space_free(dim);
177 return NULL;
178 }
179  
180 static __isl_give isl_space *set_id(__isl_take isl_space *dim,
181 enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
182 {
183 dim = isl_space_cow(dim);
184  
185 if (!dim)
186 goto error;
187  
188 pos = global_pos(dim, type, pos);
189 if (pos == isl_space_dim(dim, isl_dim_all))
190 goto error;
191  
192 if (pos >= dim->n_id) {
193 if (!id)
194 return dim;
195 dim = extend_ids(dim);
196 if (!dim)
197 goto error;
198 }
199  
200 dim->ids[pos] = id;
201  
202 return dim;
203 error:
204 isl_id_free(id);
205 isl_space_free(dim);
206 return NULL;
207 }
208  
209 static __isl_keep isl_id *get_id(__isl_keep isl_space *dim,
210 enum isl_dim_type type, unsigned pos)
211 {
212 if (!dim)
213 return NULL;
214  
215 pos = global_pos(dim, type, pos);
216 if (pos == isl_space_dim(dim, isl_dim_all))
217 return NULL;
218 if (pos >= dim->n_id)
219 return NULL;
220 return dim->ids[pos];
221 }
222  
223 static unsigned offset(__isl_keep isl_space *dim, enum isl_dim_type type)
224 {
225 switch (type) {
226 case isl_dim_param: return 0;
227 case isl_dim_in: return dim->nparam;
228 case isl_dim_out: return dim->nparam + dim->n_in;
229 default: return 0;
230 }
231 }
232  
233 static unsigned n(__isl_keep isl_space *dim, enum isl_dim_type type)
234 {
235 switch (type) {
236 case isl_dim_param: return dim->nparam;
237 case isl_dim_in: return dim->n_in;
238 case isl_dim_out: return dim->n_out;
239 case isl_dim_all: return dim->nparam + dim->n_in + dim->n_out;
240 default: return 0;
241 }
242 }
243  
244 unsigned isl_space_dim(__isl_keep isl_space *dim, enum isl_dim_type type)
245 {
246 if (!dim)
247 return 0;
248 return n(dim, type);
249 }
250  
251 unsigned isl_space_offset(__isl_keep isl_space *dim, enum isl_dim_type type)
252 {
253 if (!dim)
254 return 0;
255 return offset(dim, type);
256 }
257  
258 static __isl_give isl_space *copy_ids(__isl_take isl_space *dst,
259 enum isl_dim_type dst_type, unsigned offset, __isl_keep isl_space *src,
260 enum isl_dim_type src_type)
261 {
262 int i;
263 isl_id *id;
264  
265 if (!dst)
266 return NULL;
267  
268 for (i = 0; i < n(src, src_type); ++i) {
269 id = get_id(src, src_type, i);
270 if (!id)
271 continue;
272 dst = set_id(dst, dst_type, offset + i, isl_id_copy(id));
273 if (!dst)
274 return NULL;
275 }
276 return dst;
277 }
278  
279 __isl_take isl_space *isl_space_dup(__isl_keep isl_space *dim)
280 {
281 isl_space *dup;
282 if (!dim)
283 return NULL;
284 dup = isl_space_alloc(dim->ctx, dim->nparam, dim->n_in, dim->n_out);
285 if (dim->tuple_id[0] &&
286 !(dup->tuple_id[0] = isl_id_copy(dim->tuple_id[0])))
287 goto error;
288 if (dim->tuple_id[1] &&
289 !(dup->tuple_id[1] = isl_id_copy(dim->tuple_id[1])))
290 goto error;
291 if (dim->nested[0] && !(dup->nested[0] = isl_space_copy(dim->nested[0])))
292 goto error;
293 if (dim->nested[1] && !(dup->nested[1] = isl_space_copy(dim->nested[1])))
294 goto error;
295 if (!dim->ids)
296 return dup;
297 dup = copy_ids(dup, isl_dim_param, 0, dim, isl_dim_param);
298 dup = copy_ids(dup, isl_dim_in, 0, dim, isl_dim_in);
299 dup = copy_ids(dup, isl_dim_out, 0, dim, isl_dim_out);
300 return dup;
301 error:
302 isl_space_free(dup);
303 return NULL;
304 }
305  
306 __isl_give isl_space *isl_space_cow(__isl_take isl_space *dim)
307 {
308 if (!dim)
309 return NULL;
310  
311 if (dim->ref == 1)
312 return dim;
313 dim->ref--;
314 return isl_space_dup(dim);
315 }
316  
317 __isl_give isl_space *isl_space_copy(__isl_keep isl_space *dim)
318 {
319 if (!dim)
320 return NULL;
321  
322 dim->ref++;
323 return dim;
324 }
325  
326 void isl_space_free(__isl_take isl_space *dim)
327 {
328 int i;
329  
330 if (!dim)
331 return;
332  
333 if (--dim->ref > 0)
334 return;
335  
336 isl_id_free(dim->tuple_id[0]);
337 isl_id_free(dim->tuple_id[1]);
338  
339 isl_space_free(dim->nested[0]);
340 isl_space_free(dim->nested[1]);
341  
342 for (i = 0; i < dim->n_id; ++i)
343 isl_id_free(dim->ids[i]);
344 free(dim->ids);
345 isl_ctx_deref(dim->ctx);
346  
347 free(dim);
348 }
349  
350 /* Check if "s" is a valid dimension or tuple name.
351 * We currently only forbid names that look like a number.
352 *
353 * s is assumed to be non-NULL.
354 */
355 static int name_ok(isl_ctx *ctx, const char *s)
356 {
357 char *p;
358 long dummy;
359  
360 dummy = strtol(s, &p, 0);
361 if (p != s)
362 isl_die(ctx, isl_error_invalid, "name looks like a number",
363 return 0);
364  
365 return 1;
366 }
367  
368 /* Is it possible for the given dimension type to have a tuple id?
369 */
370 static int space_can_have_id(__isl_keep isl_space *space,
371 enum isl_dim_type type)
372 {
373 if (!space)
374 return 0;
375 if (isl_space_is_params(space))
376 isl_die(space->ctx, isl_error_invalid,
377 "parameter spaces don't have tuple ids", return 0);
378 if (isl_space_is_set(space) && type != isl_dim_set)
379 isl_die(space->ctx, isl_error_invalid,
380 "set spaces can only have a set id", return 0);
381 if (type != isl_dim_in && type != isl_dim_out)
382 isl_die(space->ctx, isl_error_invalid,
383 "only input, output and set tuples can have ids",
384 return 0);
385  
386 return 1;
387 }
388  
389 /* Does the tuple have an id?
390 */
391 int isl_space_has_tuple_id(__isl_keep isl_space *dim, enum isl_dim_type type)
392 {
393 if (!space_can_have_id(dim, type))
394 return -1;
395 return dim->tuple_id[type - isl_dim_in] != NULL;
396 }
397  
398 __isl_give isl_id *isl_space_get_tuple_id(__isl_keep isl_space *dim,
399 enum isl_dim_type type)
400 {
401 int has_id;
402  
403 if (!dim)
404 return NULL;
405 has_id = isl_space_has_tuple_id(dim, type);
406 if (has_id < 0)
407 return NULL;
408 if (!has_id)
409 isl_die(dim->ctx, isl_error_invalid,
410 "tuple has no id", return NULL);
411 return isl_id_copy(dim->tuple_id[type - isl_dim_in]);
412 }
413  
414 __isl_give isl_space *isl_space_set_tuple_id(__isl_take isl_space *dim,
415 enum isl_dim_type type, __isl_take isl_id *id)
416 {
417 dim = isl_space_cow(dim);
418 if (!dim || !id)
419 goto error;
420 if (type != isl_dim_in && type != isl_dim_out)
421 isl_die(dim->ctx, isl_error_invalid,
422 "only input, output and set tuples can have names",
423 goto error);
424  
425 isl_id_free(dim->tuple_id[type - isl_dim_in]);
426 dim->tuple_id[type - isl_dim_in] = id;
427  
428 return dim;
429 error:
430 isl_id_free(id);
431 isl_space_free(dim);
432 return NULL;
433 }
434  
435 __isl_give isl_space *isl_space_reset_tuple_id(__isl_take isl_space *dim,
436 enum isl_dim_type type)
437 {
438 dim = isl_space_cow(dim);
439 if (!dim)
440 return NULL;
441 if (type != isl_dim_in && type != isl_dim_out)
442 isl_die(dim->ctx, isl_error_invalid,
443 "only input, output and set tuples can have names",
444 goto error);
445  
446 isl_id_free(dim->tuple_id[type - isl_dim_in]);
447 dim->tuple_id[type - isl_dim_in] = NULL;
448  
449 return dim;
450 error:
451 isl_space_free(dim);
452 return NULL;
453 }
454  
455 /* Set the id of the given dimension of "space" to "id".
456 * If the dimension already has an id, then it is replaced.
457 * If the dimension is a parameter, then we need to change it
458 * in the nested spaces (if any) as well.
459 */
460 __isl_give isl_space *isl_space_set_dim_id(__isl_take isl_space *space,
461 enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
462 {
463 space = isl_space_cow(space);
464 if (!space || !id)
465 goto error;
466  
467 if (type == isl_dim_param) {
468 int i;
469  
470 for (i = 0; i < 2; ++i) {
471 if (!space->nested[i])
472 continue;
473 space->nested[i] =
474 isl_space_set_dim_id(space->nested[i],
475 type, pos, isl_id_copy(id));
476 if (!space->nested[i])
477 goto error;
478 }
479 }
480  
481 isl_id_free(get_id(space, type, pos));
482 return set_id(space, type, pos, id);
483 error:
484 isl_id_free(id);
485 isl_space_free(space);
486 return NULL;
487 }
488  
489 /* Reset the id of the given dimension of "space".
490 * If the dimension already has an id, then it is removed.
491 * If the dimension is a parameter, then we need to reset it
492 * in the nested spaces (if any) as well.
493 */
494 __isl_give isl_space *isl_space_reset_dim_id(__isl_take isl_space *space,
495 enum isl_dim_type type, unsigned pos)
496 {
497 space = isl_space_cow(space);
498 if (!space)
499 goto error;
500  
501 if (type == isl_dim_param) {
502 int i;
503  
504 for (i = 0; i < 2; ++i) {
505 if (!space->nested[i])
506 continue;
507 space->nested[i] =
508 isl_space_reset_dim_id(space->nested[i],
509 type, pos);
510 if (!space->nested[i])
511 goto error;
512 }
513 }
514  
515 isl_id_free(get_id(space, type, pos));
516 return set_id(space, type, pos, NULL);
517 error:
518 isl_space_free(space);
519 return NULL;
520 }
521  
522 int isl_space_has_dim_id(__isl_keep isl_space *dim,
523 enum isl_dim_type type, unsigned pos)
524 {
525 if (!dim)
526 return -1;
527 return get_id(dim, type, pos) != NULL;
528 }
529  
530 __isl_give isl_id *isl_space_get_dim_id(__isl_keep isl_space *dim,
531 enum isl_dim_type type, unsigned pos)
532 {
533 if (!dim)
534 return NULL;
535 if (!get_id(dim, type, pos))
536 isl_die(dim->ctx, isl_error_invalid,
537 "dim has no id", return NULL);
538 return isl_id_copy(get_id(dim, type, pos));
539 }
540  
541 __isl_give isl_space *isl_space_set_tuple_name(__isl_take isl_space *dim,
542 enum isl_dim_type type, const char *s)
543 {
544 isl_id *id;
545  
546 if (!dim)
547 return NULL;
548  
549 if (!s)
550 return isl_space_reset_tuple_id(dim, type);
551  
552 if (!name_ok(dim->ctx, s))
553 goto error;
554  
555 id = isl_id_alloc(dim->ctx, s, NULL);
556 return isl_space_set_tuple_id(dim, type, id);
557 error:
558 isl_space_free(dim);
559 return NULL;
560 }
561  
562 /* Does the tuple have a name?
563 */
564 int isl_space_has_tuple_name(__isl_keep isl_space *space,
565 enum isl_dim_type type)
566 {
567 isl_id *id;
568  
569 if (!space_can_have_id(space, type))
570 return -1;
571 id = space->tuple_id[type - isl_dim_in];
572 return id && id->name;
573 }
574  
575 const char *isl_space_get_tuple_name(__isl_keep isl_space *dim,
576 enum isl_dim_type type)
577 {
578 isl_id *id;
579 if (!dim)
580 return NULL;
581 if (type != isl_dim_in && type != isl_dim_out)
582 return NULL;
583 id = dim->tuple_id[type - isl_dim_in];
584 return id ? id->name : NULL;
585 }
586  
587 __isl_give isl_space *isl_space_set_dim_name(__isl_take isl_space *dim,
588 enum isl_dim_type type, unsigned pos,
589 const char *s)
590 {
591 isl_id *id;
592  
593 if (!dim)
594 return NULL;
595 if (!s)
596 return isl_space_reset_dim_id(dim, type, pos);
597 if (!name_ok(dim->ctx, s))
598 goto error;
599 id = isl_id_alloc(dim->ctx, s, NULL);
600 return isl_space_set_dim_id(dim, type, pos, id);
601 error:
602 isl_space_free(dim);
603 return NULL;
604 }
605  
606 /* Does the given dimension have a name?
607 */
608 int isl_space_has_dim_name(__isl_keep isl_space *space,
609 enum isl_dim_type type, unsigned pos)
610 {
611 isl_id *id;
612  
613 if (!space)
614 return -1;
615 id = get_id(space, type, pos);
616 return id && id->name;
617 }
618  
619 __isl_keep const char *isl_space_get_dim_name(__isl_keep isl_space *dim,
620 enum isl_dim_type type, unsigned pos)
621 {
622 isl_id *id = get_id(dim, type, pos);
623 return id ? id->name : NULL;
624 }
625  
626 int isl_space_find_dim_by_id(__isl_keep isl_space *dim, enum isl_dim_type type,
627 __isl_keep isl_id *id)
628 {
629 int i;
630 int offset;
631 int n;
632  
633 if (!dim || !id)
634 return -1;
635  
636 offset = isl_space_offset(dim, type);
637 n = isl_space_dim(dim, type);
638 for (i = 0; i < n && offset + i < dim->n_id; ++i)
639 if (dim->ids[offset + i] == id)
640 return i;
641  
642 return -1;
643 }
644  
645 int isl_space_find_dim_by_name(__isl_keep isl_space *space,
646 enum isl_dim_type type, const char *name)
647 {
648 int i;
649 int offset;
650 int n;
651  
652 if (!space || !name)
653 return -1;
654  
655 offset = isl_space_offset(space, type);
656 n = isl_space_dim(space, type);
657 for (i = 0; i < n && offset + i < space->n_id; ++i)
658 if (space->ids[offset + i]->name &&
659 !strcmp(space->ids[offset + i]->name, name))
660 return i;
661  
662 return -1;
663 }
664  
665 static __isl_keep isl_id *tuple_id(__isl_keep isl_space *dim,
666 enum isl_dim_type type)
667 {
668 if (!dim)
669 return NULL;
670 if (type == isl_dim_in)
671 return dim->tuple_id[0];
672 if (type == isl_dim_out)
673 return dim->tuple_id[1];
674 return NULL;
675 }
676  
677 static __isl_keep isl_space *nested(__isl_keep isl_space *dim,
678 enum isl_dim_type type)
679 {
680 if (!dim)
681 return NULL;
682 if (type == isl_dim_in)
683 return dim->nested[0];
684 if (type == isl_dim_out)
685 return dim->nested[1];
686 return NULL;
687 }
688  
689 int isl_space_tuple_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
690 __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
691 {
692 isl_id *id1, *id2;
693 isl_space *nested1, *nested2;
694  
695 if (!dim1 || !dim2)
696 return -1;
697  
698 if (dim1 == dim2 && dim1_type == dim2_type)
699 return 1;
700  
701 if (n(dim1, dim1_type) != n(dim2, dim2_type))
702 return 0;
703 id1 = tuple_id(dim1, dim1_type);
704 id2 = tuple_id(dim2, dim2_type);
705 if (!id1 ^ !id2)
706 return 0;
707 if (id1 && id1 != id2)
708 return 0;
709 nested1 = nested(dim1, dim1_type);
710 nested2 = nested(dim2, dim2_type);
711 if (!nested1 ^ !nested2)
712 return 0;
713 if (nested1 && !isl_space_is_equal(nested1, nested2))
714 return 0;
715 return 1;
716 }
717  
718 static int match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
719 __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
720 {
721 int i;
722  
723 if (dim1 == dim2 && dim1_type == dim2_type)
724 return 1;
725  
726 if (!isl_space_tuple_match(dim1, dim1_type, dim2, dim2_type))
727 return 0;
728  
729 if (!dim1->ids && !dim2->ids)
730 return 1;
731  
732 for (i = 0; i < n(dim1, dim1_type); ++i) {
733 if (get_id(dim1, dim1_type, i) != get_id(dim2, dim2_type, i))
734 return 0;
735 }
736 return 1;
737 }
738  
739 int isl_space_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
740 __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
741 {
742 if (!dim1 || !dim2)
743 return -1;
744  
745 return match(dim1, dim1_type, dim2, dim2_type);
746 }
747  
748 static void get_ids(__isl_keep isl_space *dim, enum isl_dim_type type,
749 unsigned first, unsigned n, __isl_keep isl_id **ids)
750 {
751 int i;
752  
753 for (i = 0; i < n ; ++i)
754 ids[i] = get_id(dim, type, first + i);
755 }
756  
757 __isl_give isl_space *isl_space_extend(__isl_take isl_space *dim,
758 unsigned nparam, unsigned n_in, unsigned n_out)
759 {
760 isl_id **ids = NULL;
761  
762 if (!dim)
763 return NULL;
764 if (dim->nparam == nparam && dim->n_in == n_in && dim->n_out == n_out)
765 return dim;
766  
767 isl_assert(dim->ctx, dim->nparam <= nparam, goto error);
768 isl_assert(dim->ctx, dim->n_in <= n_in, goto error);
769 isl_assert(dim->ctx, dim->n_out <= n_out, goto error);
770  
771 dim = isl_space_cow(dim);
772  
773 if (dim->ids) {
774 ids = isl_calloc_array(dim->ctx, isl_id *,
775 nparam + n_in + n_out);
776 if (!ids)
777 goto error;
778 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
779 get_ids(dim, isl_dim_in, 0, dim->n_in, ids + nparam);
780 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + nparam + n_in);
781 free(dim->ids);
782 dim->ids = ids;
783 dim->n_id = nparam + n_in + n_out;
784 }
785 dim->nparam = nparam;
786 dim->n_in = n_in;
787 dim->n_out = n_out;
788  
789 return dim;
790 error:
791 free(ids);
792 isl_space_free(dim);
793 return NULL;
794 }
795  
796 __isl_give isl_space *isl_space_add_dims(__isl_take isl_space *dim,
797 enum isl_dim_type type, unsigned n)
798 {
799 if (!dim)
800 return NULL;
801 dim = isl_space_reset(dim, type);
802 switch (type) {
803 case isl_dim_param:
804 dim = isl_space_extend(dim,
805 dim->nparam + n, dim->n_in, dim->n_out);
806 if (dim && dim->nested[0] &&
807 !(dim->nested[0] = isl_space_add_dims(dim->nested[0],
808 isl_dim_param, n)))
809 goto error;
810 if (dim && dim->nested[1] &&
811 !(dim->nested[1] = isl_space_add_dims(dim->nested[1],
812 isl_dim_param, n)))
813 goto error;
814 return dim;
815 case isl_dim_in:
816 return isl_space_extend(dim,
817 dim->nparam, dim->n_in + n, dim->n_out);
818 case isl_dim_out:
819 return isl_space_extend(dim,
820 dim->nparam, dim->n_in, dim->n_out + n);
821 default:
822 isl_die(dim->ctx, isl_error_invalid,
823 "cannot add dimensions of specified type", goto error);
824 }
825 error:
826 isl_space_free(dim);
827 return NULL;
828 }
829  
830 static int valid_dim_type(enum isl_dim_type type)
831 {
832 switch (type) {
833 case isl_dim_param:
834 case isl_dim_in:
835 case isl_dim_out:
836 return 1;
837 default:
838 return 0;
839 }
840 }
841  
842 /* Insert "n" dimensions of type "type" at position "pos".
843 * If we are inserting parameters, then they are also inserted in
844 * any nested spaces.
845 */
846 __isl_give isl_space *isl_space_insert_dims(__isl_take isl_space *dim,
847 enum isl_dim_type type, unsigned pos, unsigned n)
848 {
849 isl_id **ids = NULL;
850  
851 if (!dim)
852 return NULL;
853 if (n == 0)
854 return isl_space_reset(dim, type);
855  
856 if (!valid_dim_type(type))
857 isl_die(dim->ctx, isl_error_invalid,
858 "cannot insert dimensions of specified type",
859 goto error);
860  
861 isl_assert(dim->ctx, pos <= isl_space_dim(dim, type), goto error);
862  
863 dim = isl_space_cow(dim);
864 if (!dim)
865 return NULL;
866  
867 if (dim->ids) {
868 enum isl_dim_type t, o = isl_dim_param;
869 int off;
870 int s[3];
871 ids = isl_calloc_array(dim->ctx, isl_id *,
872 dim->nparam + dim->n_in + dim->n_out + n);
873 if (!ids)
874 goto error;
875 off = 0;
876 s[isl_dim_param - o] = dim->nparam;
877 s[isl_dim_in - o] = dim->n_in;
878 s[isl_dim_out - o] = dim->n_out;
879 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
880 if (t != type) {
881 get_ids(dim, t, 0, s[t - o], ids + off);
882 off += s[t - o];
883 } else {
884 get_ids(dim, t, 0, pos, ids + off);
885 off += pos + n;
886 get_ids(dim, t, pos, s[t - o] - pos, ids + off);
887 off += s[t - o] - pos;
888 }
889 }
890 free(dim->ids);
891 dim->ids = ids;
892 dim->n_id = dim->nparam + dim->n_in + dim->n_out + n;
893 }
894 switch (type) {
895 case isl_dim_param: dim->nparam += n; break;
896 case isl_dim_in: dim->n_in += n; break;
897 case isl_dim_out: dim->n_out += n; break;
898 default: ;
899 }
900 dim = isl_space_reset(dim, type);
901  
902 if (type == isl_dim_param) {
903 if (dim && dim->nested[0] &&
904 !(dim->nested[0] = isl_space_insert_dims(dim->nested[0],
905 isl_dim_param, pos, n)))
906 goto error;
907 if (dim && dim->nested[1] &&
908 !(dim->nested[1] = isl_space_insert_dims(dim->nested[1],
909 isl_dim_param, pos, n)))
910 goto error;
911 }
912  
913 return dim;
914 error:
915 isl_space_free(dim);
916 return NULL;
917 }
918  
919 __isl_give isl_space *isl_space_move_dims(__isl_take isl_space *dim,
920 enum isl_dim_type dst_type, unsigned dst_pos,
921 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
922 {
923 int i;
924  
925 if (!dim)
926 return NULL;
927 if (n == 0)
928 return dim;
929  
930 isl_assert(dim->ctx, src_pos + n <= isl_space_dim(dim, src_type),
931 goto error);
932  
933 if (dst_type == src_type && dst_pos == src_pos)
934 return dim;
935  
936 isl_assert(dim->ctx, dst_type != src_type, goto error);
937  
938 dim = isl_space_reset(dim, src_type);
939 dim = isl_space_reset(dim, dst_type);
940  
941 dim = isl_space_cow(dim);
942 if (!dim)
943 return NULL;
944  
945 if (dim->ids) {
946 isl_id **ids;
947 enum isl_dim_type t, o = isl_dim_param;
948 int off;
949 int s[3];
950 ids = isl_calloc_array(dim->ctx, isl_id *,
951 dim->nparam + dim->n_in + dim->n_out);
952 if (!ids)
953 goto error;
954 off = 0;
955 s[isl_dim_param - o] = dim->nparam;
956 s[isl_dim_in - o] = dim->n_in;
957 s[isl_dim_out - o] = dim->n_out;
958 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
959 if (t == dst_type) {
960 get_ids(dim, t, 0, dst_pos, ids + off);
961 off += dst_pos;
962 get_ids(dim, src_type, src_pos, n, ids + off);
963 off += n;
964 get_ids(dim, t, dst_pos, s[t - o] - dst_pos,
965 ids + off);
966 off += s[t - o] - dst_pos;
967 } else if (t == src_type) {
968 get_ids(dim, t, 0, src_pos, ids + off);
969 off += src_pos;
970 get_ids(dim, t, src_pos + n,
971 s[t - o] - src_pos - n, ids + off);
972 off += s[t - o] - src_pos - n;
973 } else {
974 get_ids(dim, t, 0, s[t - o], ids + off);
975 off += s[t - o];
976 }
977 }
978 free(dim->ids);
979 dim->ids = ids;
980 dim->n_id = dim->nparam + dim->n_in + dim->n_out;
981 }
982  
983 switch (dst_type) {
984 case isl_dim_param: dim->nparam += n; break;
985 case isl_dim_in: dim->n_in += n; break;
986 case isl_dim_out: dim->n_out += n; break;
987 default: ;
988 }
989  
990 switch (src_type) {
991 case isl_dim_param: dim->nparam -= n; break;
992 case isl_dim_in: dim->n_in -= n; break;
993 case isl_dim_out: dim->n_out -= n; break;
994 default: ;
995 }
996  
997 if (dst_type != isl_dim_param && src_type != isl_dim_param)
998 return dim;
999  
1000 for (i = 0; i < 2; ++i) {
1001 if (!dim->nested[i])
1002 continue;
1003 dim->nested[i] = isl_space_replace(dim->nested[i],
1004 isl_dim_param, dim);
1005 if (!dim->nested[i])
1006 goto error;
1007 }
1008  
1009 return dim;
1010 error:
1011 isl_space_free(dim);
1012 return NULL;
1013 }
1014  
1015 __isl_give isl_space *isl_space_join(__isl_take isl_space *left,
1016 __isl_take isl_space *right)
1017 {
1018 isl_space *dim;
1019  
1020 if (!left || !right)
1021 goto error;
1022  
1023 isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1024 goto error);
1025 isl_assert(left->ctx,
1026 isl_space_tuple_match(left, isl_dim_out, right, isl_dim_in),
1027 goto error);
1028  
1029 dim = isl_space_alloc(left->ctx, left->nparam, left->n_in, right->n_out);
1030 if (!dim)
1031 goto error;
1032  
1033 dim = copy_ids(dim, isl_dim_param, 0, left, isl_dim_param);
1034 dim = copy_ids(dim, isl_dim_in, 0, left, isl_dim_in);
1035 dim = copy_ids(dim, isl_dim_out, 0, right, isl_dim_out);
1036  
1037 if (dim && left->tuple_id[0] &&
1038 !(dim->tuple_id[0] = isl_id_copy(left->tuple_id[0])))
1039 goto error;
1040 if (dim && right->tuple_id[1] &&
1041 !(dim->tuple_id[1] = isl_id_copy(right->tuple_id[1])))
1042 goto error;
1043 if (dim && left->nested[0] &&
1044 !(dim->nested[0] = isl_space_copy(left->nested[0])))
1045 goto error;
1046 if (dim && right->nested[1] &&
1047 !(dim->nested[1] = isl_space_copy(right->nested[1])))
1048 goto error;
1049  
1050 isl_space_free(left);
1051 isl_space_free(right);
1052  
1053 return dim;
1054 error:
1055 isl_space_free(left);
1056 isl_space_free(right);
1057 return NULL;
1058 }
1059  
1060 __isl_give isl_space *isl_space_product(__isl_take isl_space *left,
1061 __isl_take isl_space *right)
1062 {
1063 isl_space *dom1, *dom2, *nest1, *nest2;
1064  
1065 if (!left || !right)
1066 goto error;
1067  
1068 isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1069 goto error);
1070  
1071 dom1 = isl_space_domain(isl_space_copy(left));
1072 dom2 = isl_space_domain(isl_space_copy(right));
1073 nest1 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1074  
1075 dom1 = isl_space_range(left);
1076 dom2 = isl_space_range(right);
1077 nest2 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1078  
1079 return isl_space_join(isl_space_reverse(nest1), nest2);
1080 error:
1081 isl_space_free(left);
1082 isl_space_free(right);
1083 return NULL;
1084 }
1085  
1086 /* Given two spaces { A -> C } and { B -> C }, construct the space
1087 * { [A -> B] -> C }
1088 */
1089 __isl_give isl_space *isl_space_domain_product(__isl_take isl_space *left,
1090 __isl_take isl_space *right)
1091 {
1092 isl_space *ran, *dom1, *dom2, *nest;
1093  
1094 if (!left || !right)
1095 goto error;
1096  
1097 if (!match(left, isl_dim_param, right, isl_dim_param))
1098 isl_die(left->ctx, isl_error_invalid,
1099 "parameters need to match", goto error);
1100 if (!isl_space_tuple_match(left, isl_dim_out, right, isl_dim_out))
1101 isl_die(left->ctx, isl_error_invalid,
1102 "ranges need to match", goto error);
1103  
1104 ran = isl_space_range(isl_space_copy(left));
1105  
1106 dom1 = isl_space_domain(left);
1107 dom2 = isl_space_domain(right);
1108 nest = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1109  
1110 return isl_space_join(isl_space_reverse(nest), ran);
1111 error:
1112 isl_space_free(left);
1113 isl_space_free(right);
1114 return NULL;
1115 }
1116  
1117 __isl_give isl_space *isl_space_range_product(__isl_take isl_space *left,
1118 __isl_take isl_space *right)
1119 {
1120 isl_space *dom, *ran1, *ran2, *nest;
1121  
1122 if (!left || !right)
1123 goto error;
1124  
1125 isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1126 goto error);
1127 if (!isl_space_tuple_match(left, isl_dim_in, right, isl_dim_in))
1128 isl_die(left->ctx, isl_error_invalid,
1129 "domains need to match", goto error);
1130  
1131 dom = isl_space_domain(isl_space_copy(left));
1132  
1133 ran1 = isl_space_range(left);
1134 ran2 = isl_space_range(right);
1135 nest = isl_space_wrap(isl_space_join(isl_space_reverse(ran1), ran2));
1136  
1137 return isl_space_join(isl_space_reverse(dom), nest);
1138 error:
1139 isl_space_free(left);
1140 isl_space_free(right);
1141 return NULL;
1142 }
1143  
1144 __isl_give isl_space *isl_space_map_from_set(__isl_take isl_space *dim)
1145 {
1146 isl_ctx *ctx;
1147 isl_id **ids = NULL;
1148  
1149 if (!dim)
1150 return NULL;
1151 ctx = isl_space_get_ctx(dim);
1152 if (!isl_space_is_set(dim))
1153 isl_die(ctx, isl_error_invalid, "not a set space", goto error);
1154 dim = isl_space_cow(dim);
1155 if (!dim)
1156 return NULL;
1157 if (dim->ids) {
1158 ids = isl_calloc_array(dim->ctx, isl_id *,
1159 dim->nparam + dim->n_out + dim->n_out);
1160 if (!ids)
1161 goto error;
1162 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
1163 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->nparam);
1164 }
1165 dim->n_in = dim->n_out;
1166 if (ids) {
1167 free(dim->ids);
1168 dim->ids = ids;
1169 dim->n_id = dim->nparam + dim->n_out + dim->n_out;
1170 dim = copy_ids(dim, isl_dim_out, 0, dim, isl_dim_in);
1171 }
1172 isl_id_free(dim->tuple_id[0]);
1173 dim->tuple_id[0] = isl_id_copy(dim->tuple_id[1]);
1174 isl_space_free(dim->nested[0]);
1175 dim->nested[0] = isl_space_copy(dim->nested[1]);
1176 return dim;
1177 error:
1178 isl_space_free(dim);
1179 return NULL;
1180 }
1181  
1182 __isl_give isl_space *isl_space_map_from_domain_and_range(
1183 __isl_take isl_space *domain, __isl_take isl_space *range)
1184 {
1185 if (!domain || !range)
1186 goto error;
1187 if (!isl_space_is_set(domain))
1188 isl_die(isl_space_get_ctx(domain), isl_error_invalid,
1189 "domain is not a set space", goto error);
1190 if (!isl_space_is_set(range))
1191 isl_die(isl_space_get_ctx(range), isl_error_invalid,
1192 "range is not a set space", goto error);
1193 return isl_space_join(isl_space_reverse(domain), range);
1194 error:
1195 isl_space_free(domain);
1196 isl_space_free(range);
1197 return NULL;
1198 }
1199  
1200 static __isl_give isl_space *set_ids(__isl_take isl_space *dim,
1201 enum isl_dim_type type,
1202 unsigned first, unsigned n, __isl_take isl_id **ids)
1203 {
1204 int i;
1205  
1206 for (i = 0; i < n ; ++i)
1207 dim = set_id(dim, type, first + i, ids[i]);
1208  
1209 return dim;
1210 }
1211  
1212 __isl_give isl_space *isl_space_reverse(__isl_take isl_space *dim)
1213 {
1214 unsigned t;
1215 isl_space *nested;
1216 isl_id **ids = NULL;
1217 isl_id *id;
1218  
1219 if (!dim)
1220 return NULL;
1221 if (match(dim, isl_dim_in, dim, isl_dim_out))
1222 return dim;
1223  
1224 dim = isl_space_cow(dim);
1225 if (!dim)
1226 return NULL;
1227  
1228 id = dim->tuple_id[0];
1229 dim->tuple_id[0] = dim->tuple_id[1];
1230 dim->tuple_id[1] = id;
1231  
1232 nested = dim->nested[0];
1233 dim->nested[0] = dim->nested[1];
1234 dim->nested[1] = nested;
1235  
1236 if (dim->ids) {
1237 ids = isl_alloc_array(dim->ctx, isl_id *,
1238 dim->n_in + dim->n_out);
1239 if (!ids)
1240 goto error;
1241 get_ids(dim, isl_dim_in, 0, dim->n_in, ids);
1242 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->n_in);
1243 }
1244  
1245 t = dim->n_in;
1246 dim->n_in = dim->n_out;
1247 dim->n_out = t;
1248  
1249 if (dim->ids) {
1250 dim = set_ids(dim, isl_dim_out, 0, dim->n_out, ids);
1251 dim = set_ids(dim, isl_dim_in, 0, dim->n_in, ids + dim->n_out);
1252 free(ids);
1253 }
1254  
1255 return dim;
1256 error:
1257 free(ids);
1258 isl_space_free(dim);
1259 return NULL;
1260 }
1261  
1262 __isl_give isl_space *isl_space_drop_dims(__isl_take isl_space *dim,
1263 enum isl_dim_type type, unsigned first, unsigned num)
1264 {
1265 int i;
1266  
1267 if (!dim)
1268 return NULL;
1269  
1270 if (num == 0)
1271 return isl_space_reset(dim, type);
1272  
1273 if (!valid_dim_type(type))
1274 isl_die(dim->ctx, isl_error_invalid,
1275 "cannot drop dimensions of specified type", goto error);
1276  
1277 isl_assert(dim->ctx, first + num <= n(dim, type), goto error);
1278 dim = isl_space_cow(dim);
1279 if (!dim)
1280 goto error;
1281 if (dim->ids) {
1282 dim = extend_ids(dim);
1283 if (!dim)
1284 goto error;
1285 for (i = 0; i < num; ++i)
1286 isl_id_free(get_id(dim, type, first + i));
1287 for (i = first+num; i < n(dim, type); ++i)
1288 set_id(dim, type, i - num, get_id(dim, type, i));
1289 switch (type) {
1290 case isl_dim_param:
1291 get_ids(dim, isl_dim_in, 0, dim->n_in,
1292 dim->ids + offset(dim, isl_dim_in) - num);
1293 case isl_dim_in:
1294 get_ids(dim, isl_dim_out, 0, dim->n_out,
1295 dim->ids + offset(dim, isl_dim_out) - num);
1296 default:
1297 ;
1298 }
1299 dim->n_id -= num;
1300 }
1301 switch (type) {
1302 case isl_dim_param: dim->nparam -= num; break;
1303 case isl_dim_in: dim->n_in -= num; break;
1304 case isl_dim_out: dim->n_out -= num; break;
1305 default: ;
1306 }
1307 dim = isl_space_reset(dim, type);
1308 if (type == isl_dim_param) {
1309 if (dim && dim->nested[0] &&
1310 !(dim->nested[0] = isl_space_drop_dims(dim->nested[0],
1311 isl_dim_param, first, num)))
1312 goto error;
1313 if (dim && dim->nested[1] &&
1314 !(dim->nested[1] = isl_space_drop_dims(dim->nested[1],
1315 isl_dim_param, first, num)))
1316 goto error;
1317 }
1318 return dim;
1319 error:
1320 isl_space_free(dim);
1321 return NULL;
1322 }
1323  
1324 __isl_give isl_space *isl_space_drop_inputs(__isl_take isl_space *dim,
1325 unsigned first, unsigned n)
1326 {
1327 if (!dim)
1328 return NULL;
1329 return isl_space_drop_dims(dim, isl_dim_in, first, n);
1330 }
1331  
1332 __isl_give isl_space *isl_space_drop_outputs(__isl_take isl_space *dim,
1333 unsigned first, unsigned n)
1334 {
1335 if (!dim)
1336 return NULL;
1337 return isl_space_drop_dims(dim, isl_dim_out, first, n);
1338 }
1339  
1340 __isl_give isl_space *isl_space_domain(__isl_take isl_space *dim)
1341 {
1342 if (!dim)
1343 return NULL;
1344 dim = isl_space_drop_outputs(dim, 0, dim->n_out);
1345 dim = isl_space_reverse(dim);
1346 dim = mark_as_set(dim);
1347 return dim;
1348 }
1349  
1350 __isl_give isl_space *isl_space_from_domain(__isl_take isl_space *dim)
1351 {
1352 if (!dim)
1353 return NULL;
1354 if (!isl_space_is_set(dim))
1355 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1356 "not a set space", goto error);
1357 dim = isl_space_reverse(dim);
1358 dim = isl_space_reset(dim, isl_dim_out);
1359 return dim;
1360 error:
1361 isl_space_free(dim);
1362 return NULL;
1363 }
1364  
1365 __isl_give isl_space *isl_space_range(__isl_take isl_space *dim)
1366 {
1367 if (!dim)
1368 return NULL;
1369 dim = isl_space_drop_inputs(dim, 0, dim->n_in);
1370 dim = mark_as_set(dim);
1371 return dim;
1372 }
1373  
1374 __isl_give isl_space *isl_space_from_range(__isl_take isl_space *dim)
1375 {
1376 if (!dim)
1377 return NULL;
1378 if (!isl_space_is_set(dim))
1379 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1380 "not a set space", goto error);
1381 return isl_space_reset(dim, isl_dim_in);
1382 error:
1383 isl_space_free(dim);
1384 return NULL;
1385 }
1386  
1387 __isl_give isl_space *isl_space_params(__isl_take isl_space *space)
1388 {
1389 if (isl_space_is_params(space))
1390 return space;
1391 space = isl_space_drop_dims(space,
1392 isl_dim_in, 0, isl_space_dim(space, isl_dim_in));
1393 space = isl_space_drop_dims(space,
1394 isl_dim_out, 0, isl_space_dim(space, isl_dim_out));
1395 space = mark_as_params(space);
1396 return space;
1397 }
1398  
1399 __isl_give isl_space *isl_space_set_from_params(__isl_take isl_space *space)
1400 {
1401 if (!space)
1402 return NULL;
1403 if (!isl_space_is_params(space))
1404 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1405 "not a parameter space", goto error);
1406 return isl_space_reset(space, isl_dim_set);
1407 error:
1408 isl_space_free(space);
1409 return NULL;
1410 }
1411  
1412 __isl_give isl_space *isl_space_as_set_space(__isl_take isl_space *dim)
1413 {
1414 dim = isl_space_cow(dim);
1415 if (!dim)
1416 return NULL;
1417  
1418 dim->n_out += dim->n_in;
1419 dim->n_in = 0;
1420 dim = isl_space_reset(dim, isl_dim_in);
1421 dim = isl_space_reset(dim, isl_dim_out);
1422  
1423 return dim;
1424 }
1425  
1426 __isl_give isl_space *isl_space_underlying(__isl_take isl_space *dim,
1427 unsigned n_div)
1428 {
1429 int i;
1430  
1431 if (!dim)
1432 return NULL;
1433 if (n_div == 0 &&
1434 dim->nparam == 0 && dim->n_in == 0 && dim->n_id == 0)
1435 return isl_space_reset(isl_space_reset(dim, isl_dim_in), isl_dim_out);
1436 dim = isl_space_cow(dim);
1437 if (!dim)
1438 return NULL;
1439 dim->n_out += dim->nparam + dim->n_in + n_div;
1440 dim->nparam = 0;
1441 dim->n_in = 0;
1442  
1443 for (i = 0; i < dim->n_id; ++i)
1444 isl_id_free(get_id(dim, isl_dim_out, i));
1445 dim->n_id = 0;
1446 dim = isl_space_reset(dim, isl_dim_in);
1447 dim = isl_space_reset(dim, isl_dim_out);
1448  
1449 return dim;
1450 }
1451  
1452 int isl_space_is_equal(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1453 {
1454 if (!dim1 || !dim2)
1455 return -1;
1456 if (dim1 == dim2)
1457 return 1;
1458 return match(dim1, isl_dim_param, dim2, isl_dim_param) &&
1459 isl_space_tuple_match(dim1, isl_dim_in, dim2, isl_dim_in) &&
1460 isl_space_tuple_match(dim1, isl_dim_out, dim2, isl_dim_out);
1461 }
1462  
1463 /* Is space1 equal to the domain of space2?
1464 */
1465 int isl_space_is_domain(__isl_keep isl_space *space1,
1466 __isl_keep isl_space *space2)
1467 {
1468 if (!space1 || !space2)
1469 return -1;
1470 if (!isl_space_is_set(space1))
1471 return 0;
1472 return match(space1, isl_dim_param, space2, isl_dim_param) &&
1473 isl_space_tuple_match(space1, isl_dim_set, space2, isl_dim_in);
1474 }
1475  
1476 int isl_space_compatible(__isl_keep isl_space *dim1,
1477 __isl_keep isl_space *dim2)
1478 {
1479 return dim1->nparam == dim2->nparam &&
1480 dim1->n_in + dim1->n_out == dim2->n_in + dim2->n_out;
1481 }
1482  
1483 static uint32_t isl_hash_dim(uint32_t hash, __isl_keep isl_space *dim)
1484 {
1485 int i;
1486 isl_id *id;
1487  
1488 if (!dim)
1489 return hash;
1490  
1491 hash = isl_hash_builtin(hash, dim->nparam);
1492 hash = isl_hash_builtin(hash, dim->n_in);
1493 hash = isl_hash_builtin(hash, dim->n_out);
1494  
1495 for (i = 0; i < dim->nparam; ++i) {
1496 id = get_id(dim, isl_dim_param, i);
1497 hash = isl_hash_id(hash, id);
1498 }
1499  
1500 id = tuple_id(dim, isl_dim_in);
1501 hash = isl_hash_id(hash, id);
1502 id = tuple_id(dim, isl_dim_out);
1503 hash = isl_hash_id(hash, id);
1504  
1505 hash = isl_hash_dim(hash, dim->nested[0]);
1506 hash = isl_hash_dim(hash, dim->nested[1]);
1507  
1508 return hash;
1509 }
1510  
1511 uint32_t isl_space_get_hash(__isl_keep isl_space *dim)
1512 {
1513 uint32_t hash;
1514  
1515 if (!dim)
1516 return 0;
1517  
1518 hash = isl_hash_init();
1519 hash = isl_hash_dim(hash, dim);
1520  
1521 return hash;
1522 }
1523  
1524 int isl_space_is_wrapping(__isl_keep isl_space *dim)
1525 {
1526 if (!dim)
1527 return -1;
1528  
1529 if (!isl_space_is_set(dim))
1530 return 0;
1531  
1532 return dim->nested[1] != NULL;
1533 }
1534  
1535 __isl_give isl_space *isl_space_wrap(__isl_take isl_space *dim)
1536 {
1537 isl_space *wrap;
1538  
1539 if (!dim)
1540 return NULL;
1541  
1542 wrap = isl_space_set_alloc(dim->ctx,
1543 dim->nparam, dim->n_in + dim->n_out);
1544  
1545 wrap = copy_ids(wrap, isl_dim_param, 0, dim, isl_dim_param);
1546 wrap = copy_ids(wrap, isl_dim_set, 0, dim, isl_dim_in);
1547 wrap = copy_ids(wrap, isl_dim_set, dim->n_in, dim, isl_dim_out);
1548  
1549 if (!wrap)
1550 goto error;
1551  
1552 wrap->nested[1] = dim;
1553  
1554 return wrap;
1555 error:
1556 isl_space_free(dim);
1557 return NULL;
1558 }
1559  
1560 __isl_give isl_space *isl_space_unwrap(__isl_take isl_space *dim)
1561 {
1562 isl_space *unwrap;
1563  
1564 if (!dim)
1565 return NULL;
1566  
1567 if (!isl_space_is_wrapping(dim))
1568 isl_die(dim->ctx, isl_error_invalid, "not a wrapping space",
1569 goto error);
1570  
1571 unwrap = isl_space_copy(dim->nested[1]);
1572 isl_space_free(dim);
1573  
1574 return unwrap;
1575 error:
1576 isl_space_free(dim);
1577 return NULL;
1578 }
1579  
1580 int isl_space_is_named_or_nested(__isl_keep isl_space *dim, enum isl_dim_type type)
1581 {
1582 if (type != isl_dim_in && type != isl_dim_out)
1583 return 0;
1584 if (!dim)
1585 return -1;
1586 if (dim->tuple_id[type - isl_dim_in])
1587 return 1;
1588 if (dim->nested[type - isl_dim_in])
1589 return 1;
1590 return 0;
1591 }
1592  
1593 int isl_space_may_be_set(__isl_keep isl_space *dim)
1594 {
1595 if (!dim)
1596 return -1;
1597 if (isl_space_is_set(dim))
1598 return 1;
1599 if (isl_space_dim(dim, isl_dim_in) != 0)
1600 return 0;
1601 if (isl_space_is_named_or_nested(dim, isl_dim_in))
1602 return 0;
1603 return 1;
1604 }
1605  
1606 __isl_give isl_space *isl_space_reset(__isl_take isl_space *dim,
1607 enum isl_dim_type type)
1608 {
1609 if (!isl_space_is_named_or_nested(dim, type))
1610 return dim;
1611  
1612 dim = isl_space_cow(dim);
1613 if (!dim)
1614 return NULL;
1615  
1616 isl_id_free(dim->tuple_id[type - isl_dim_in]);
1617 dim->tuple_id[type - isl_dim_in] = NULL;
1618 isl_space_free(dim->nested[type - isl_dim_in]);
1619 dim->nested[type - isl_dim_in] = NULL;
1620  
1621 return dim;
1622 }
1623  
1624 __isl_give isl_space *isl_space_flatten(__isl_take isl_space *dim)
1625 {
1626 if (!dim)
1627 return NULL;
1628 if (!dim->nested[0] && !dim->nested[1])
1629 return dim;
1630  
1631 if (dim->nested[0])
1632 dim = isl_space_reset(dim, isl_dim_in);
1633 if (dim && dim->nested[1])
1634 dim = isl_space_reset(dim, isl_dim_out);
1635  
1636 return dim;
1637 }
1638  
1639 __isl_give isl_space *isl_space_flatten_domain(__isl_take isl_space *dim)
1640 {
1641 if (!dim)
1642 return NULL;
1643 if (!dim->nested[0])
1644 return dim;
1645  
1646 return isl_space_reset(dim, isl_dim_in);
1647 }
1648  
1649 __isl_give isl_space *isl_space_flatten_range(__isl_take isl_space *dim)
1650 {
1651 if (!dim)
1652 return NULL;
1653 if (!dim->nested[1])
1654 return dim;
1655  
1656 return isl_space_reset(dim, isl_dim_out);
1657 }
1658  
1659 /* Replace the dimensions of the given type of dst by those of src.
1660 */
1661 __isl_give isl_space *isl_space_replace(__isl_take isl_space *dst,
1662 enum isl_dim_type type, __isl_keep isl_space *src)
1663 {
1664 dst = isl_space_cow(dst);
1665  
1666 if (!dst || !src)
1667 goto error;
1668  
1669 dst = isl_space_drop_dims(dst, type, 0, isl_space_dim(dst, type));
1670 dst = isl_space_add_dims(dst, type, isl_space_dim(src, type));
1671 dst = copy_ids(dst, type, 0, src, type);
1672  
1673 if (dst && type == isl_dim_param) {
1674 int i;
1675 for (i = 0; i <= 1; ++i) {
1676 if (!dst->nested[i])
1677 continue;
1678 dst->nested[i] = isl_space_replace(dst->nested[i],
1679 type, src);
1680 if (!dst->nested[i])
1681 goto error;
1682 }
1683 }
1684  
1685 return dst;
1686 error:
1687 isl_space_free(dst);
1688 return NULL;
1689 }
1690  
1691 /* Given a dimension specification "dim" of a set, create a dimension
1692 * specification for the lift of the set. In particular, the result
1693 * is of the form [dim -> local[..]], with n_local variables in the
1694 * range of the wrapped map.
1695 */
1696 __isl_give isl_space *isl_space_lift(__isl_take isl_space *dim, unsigned n_local)
1697 {
1698 isl_space *local_dim;
1699  
1700 if (!dim)
1701 return NULL;
1702  
1703 local_dim = isl_space_dup(dim);
1704 local_dim = isl_space_drop_dims(local_dim, isl_dim_set, 0, dim->n_out);
1705 local_dim = isl_space_add_dims(local_dim, isl_dim_set, n_local);
1706 local_dim = isl_space_set_tuple_name(local_dim, isl_dim_set, "local");
1707 dim = isl_space_join(isl_space_from_domain(dim),
1708 isl_space_from_range(local_dim));
1709 dim = isl_space_wrap(dim);
1710 dim = isl_space_set_tuple_name(dim, isl_dim_set, "lifted");
1711  
1712 return dim;
1713 }
1714  
1715 int isl_space_can_zip(__isl_keep isl_space *dim)
1716 {
1717 if (!dim)
1718 return -1;
1719  
1720 return dim->nested[0] && dim->nested[1];
1721 }
1722  
1723 __isl_give isl_space *isl_space_zip(__isl_take isl_space *dim)
1724 {
1725 isl_space *dom, *ran;
1726 isl_space *dom_dom, *dom_ran, *ran_dom, *ran_ran;
1727  
1728 if (!isl_space_can_zip(dim))
1729 isl_die(dim->ctx, isl_error_invalid, "dim cannot be zipped",
1730 goto error);
1731  
1732 if (!dim)
1733 return NULL;
1734 dom = isl_space_unwrap(isl_space_domain(isl_space_copy(dim)));
1735 ran = isl_space_unwrap(isl_space_range(dim));
1736 dom_dom = isl_space_domain(isl_space_copy(dom));
1737 dom_ran = isl_space_range(dom);
1738 ran_dom = isl_space_domain(isl_space_copy(ran));
1739 ran_ran = isl_space_range(ran);
1740 dom = isl_space_join(isl_space_from_domain(dom_dom),
1741 isl_space_from_range(ran_dom));
1742 ran = isl_space_join(isl_space_from_domain(dom_ran),
1743 isl_space_from_range(ran_ran));
1744 return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
1745 isl_space_from_range(isl_space_wrap(ran)));
1746 error:
1747 isl_space_free(dim);
1748 return NULL;
1749 }
1750  
1751 /* Can we apply isl_space_curry to "space"?
1752 * That is, does it have a nested relation in its domain?
1753 */
1754 int isl_space_can_curry(__isl_keep isl_space *space)
1755 {
1756 if (!space)
1757 return -1;
1758  
1759 return !!space->nested[0];
1760 }
1761  
1762 /* Given a space (A -> B) -> C, return the corresponding space
1763 * A -> (B -> C).
1764 */
1765 __isl_give isl_space *isl_space_curry(__isl_take isl_space *space)
1766 {
1767 isl_space *dom, *ran;
1768 isl_space *dom_dom, *dom_ran;
1769  
1770 if (!space)
1771 return NULL;
1772  
1773 if (!isl_space_can_curry(space))
1774 isl_die(space->ctx, isl_error_invalid,
1775 "space cannot be curried", goto error);
1776  
1777 dom = isl_space_unwrap(isl_space_domain(isl_space_copy(space)));
1778 ran = isl_space_range(space);
1779 dom_dom = isl_space_domain(isl_space_copy(dom));
1780 dom_ran = isl_space_range(dom);
1781 ran = isl_space_join(isl_space_from_domain(dom_ran),
1782 isl_space_from_range(ran));
1783 return isl_space_join(isl_space_from_domain(dom_dom),
1784 isl_space_from_range(isl_space_wrap(ran)));
1785 error:
1786 isl_space_free(space);
1787 return NULL;
1788 }
1789  
1790 int isl_space_has_named_params(__isl_keep isl_space *dim)
1791 {
1792 int i;
1793 unsigned off;
1794  
1795 if (!dim)
1796 return -1;
1797 if (dim->nparam == 0)
1798 return 1;
1799 off = isl_space_offset(dim, isl_dim_param);
1800 if (off + dim->nparam > dim->n_id)
1801 return 0;
1802 for (i = 0; i < dim->nparam; ++i)
1803 if (!dim->ids[off + i])
1804 return 0;
1805 return 1;
1806 }
1807  
1808 /* Align the initial parameters of dim1 to match the order in dim2.
1809 */
1810 __isl_give isl_space *isl_space_align_params(__isl_take isl_space *dim1,
1811 __isl_take isl_space *dim2)
1812 {
1813 isl_reordering *exp;
1814  
1815 if (!isl_space_has_named_params(dim1) || !isl_space_has_named_params(dim2))
1816 isl_die(isl_space_get_ctx(dim1), isl_error_invalid,
1817 "parameter alignment requires named parameters",
1818 goto error);
1819  
1820 dim2 = isl_space_params(dim2);
1821 exp = isl_parameter_alignment_reordering(dim1, dim2);
1822 exp = isl_reordering_extend_space(exp, dim1);
1823 isl_space_free(dim2);
1824 if (!exp)
1825 return NULL;
1826 dim1 = isl_space_copy(exp->dim);
1827 isl_reordering_free(exp);
1828 return dim1;
1829 error:
1830 isl_space_free(dim1);
1831 isl_space_free(dim2);
1832 return NULL;
1833 }
1834  
1835 /* Given the space of set (domain), construct a space for a map
1836 * with as domain the given space and as range the range of "model".
1837 */
1838 __isl_give isl_space *isl_space_extend_domain_with_range(
1839 __isl_take isl_space *domain, __isl_take isl_space *model)
1840 {
1841 isl_space *space;
1842  
1843 space = isl_space_from_domain(domain);
1844 space = isl_space_add_dims(space, isl_dim_out,
1845 isl_space_dim(model, isl_dim_out));
1846 if (isl_space_has_tuple_id(model, isl_dim_out))
1847 space = isl_space_set_tuple_id(space, isl_dim_out,
1848 isl_space_get_tuple_id(model, isl_dim_out));
1849 isl_space_free(model);
1850 return space;
1851 }