Merge branch 'maint'
[platform/upstream/isl.git] / isl_space.c
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 static int name_ok(isl_ctx *ctx, const char *s)
351 {
352         char *p;
353         long dummy;
354
355         dummy = strtol(s, &p, 0);
356         if (p != s)
357                 isl_die(ctx, isl_error_invalid, "name looks like a number",
358                         return 0);
359
360         return 1;
361 }
362
363 int isl_space_has_tuple_id(__isl_keep isl_space *dim, enum isl_dim_type type)
364 {
365         if (!dim)
366                 return -1;
367         if (isl_space_is_params(dim))
368                 isl_die(dim->ctx, isl_error_invalid,
369                         "parameter spaces don't have tuple ids", return -1);
370         if (isl_space_is_set(dim) && type != isl_dim_set)
371                 isl_die(dim->ctx, isl_error_invalid,
372                         "set spaces can only have a set id", return -1);
373         if (type != isl_dim_in && type != isl_dim_out)
374                 isl_die(dim->ctx, isl_error_invalid,
375                         "only input, output and set tuples can have ids",
376                         return -1);
377         return dim->tuple_id[type - isl_dim_in] != NULL;
378 }
379
380 __isl_give isl_id *isl_space_get_tuple_id(__isl_keep isl_space *dim,
381         enum isl_dim_type type)
382 {
383         int has_id;
384
385         if (!dim)
386                 return NULL;
387         has_id = isl_space_has_tuple_id(dim, type);
388         if (has_id < 0)
389                 return NULL;
390         if (!has_id)
391                 isl_die(dim->ctx, isl_error_invalid,
392                         "tuple has no id", return NULL);
393         return isl_id_copy(dim->tuple_id[type - isl_dim_in]);
394 }
395
396 __isl_give isl_space *isl_space_set_tuple_id(__isl_take isl_space *dim,
397         enum isl_dim_type type, __isl_take isl_id *id)
398 {
399         dim = isl_space_cow(dim);
400         if (!dim || !id)
401                 goto error;
402         if (type != isl_dim_in && type != isl_dim_out)
403                 isl_die(dim->ctx, isl_error_invalid,
404                         "only input, output and set tuples can have names",
405                         goto error);
406
407         isl_id_free(dim->tuple_id[type - isl_dim_in]);
408         dim->tuple_id[type - isl_dim_in] = id;
409
410         return dim;
411 error:
412         isl_id_free(id);
413         isl_space_free(dim);
414         return NULL;
415 }
416
417 __isl_give isl_space *isl_space_reset_tuple_id(__isl_take isl_space *dim,
418         enum isl_dim_type type)
419 {
420         dim = isl_space_cow(dim);
421         if (!dim)
422                 return NULL;
423         if (type != isl_dim_in && type != isl_dim_out)
424                 isl_die(dim->ctx, isl_error_invalid,
425                         "only input, output and set tuples can have names",
426                         goto error);
427
428         isl_id_free(dim->tuple_id[type - isl_dim_in]);
429         dim->tuple_id[type - isl_dim_in] = NULL;
430
431         return dim;
432 error:
433         isl_space_free(dim);
434         return NULL;
435 }
436
437 __isl_give isl_space *isl_space_set_dim_id(__isl_take isl_space *dim,
438         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
439 {
440         dim = isl_space_cow(dim);
441         if (!dim || !id)
442                 goto error;
443         isl_id_free(get_id(dim, type, pos));
444         return set_id(dim, type, pos, id);
445 error:
446         isl_id_free(id);
447         isl_space_free(dim);
448         return NULL;
449 }
450
451 int isl_space_has_dim_id(__isl_keep isl_space *dim,
452         enum isl_dim_type type, unsigned pos)
453 {
454         if (!dim)
455                 return -1;
456         return get_id(dim, type, pos) != NULL;
457 }
458
459 __isl_give isl_id *isl_space_get_dim_id(__isl_keep isl_space *dim,
460         enum isl_dim_type type, unsigned pos)
461 {
462         if (!dim)
463                 return NULL;
464         if (!get_id(dim, type, pos))
465                 isl_die(dim->ctx, isl_error_invalid,
466                         "dim has no id", return NULL);
467         return isl_id_copy(get_id(dim, type, pos));
468 }
469
470 __isl_give isl_space *isl_space_set_tuple_name(__isl_take isl_space *dim,
471         enum isl_dim_type type, const char *s)
472 {
473         isl_id *id;
474
475         if (!dim)
476                 return NULL;
477
478         if (!s)
479                 return isl_space_reset_tuple_id(dim, type);
480
481         if (!name_ok(dim->ctx, s))
482                 goto error;
483
484         id = isl_id_alloc(dim->ctx, s, NULL);
485         return isl_space_set_tuple_id(dim, type, id);
486 error:
487         isl_space_free(dim);
488         return NULL;
489 }
490
491 const char *isl_space_get_tuple_name(__isl_keep isl_space *dim,
492          enum isl_dim_type type)
493 {
494         isl_id *id;
495         if (!dim)
496                 return NULL;
497         if (type != isl_dim_in && type != isl_dim_out)
498                 return NULL;
499         id = dim->tuple_id[type - isl_dim_in];
500         return id ? id->name : NULL;
501 }
502
503 __isl_give isl_space *isl_space_set_dim_name(__isl_take isl_space *dim,
504                                  enum isl_dim_type type, unsigned pos,
505                                  const char *s)
506 {
507         isl_id *id;
508
509         if (!dim)
510                 return NULL;
511         if (!name_ok(dim->ctx, s))
512                 goto error;
513         id = isl_id_alloc(dim->ctx, s, NULL);
514         return isl_space_set_dim_id(dim, type, pos, id);
515 error:
516         isl_space_free(dim);
517         return NULL;
518 }
519
520 __isl_keep const char *isl_space_get_dim_name(__isl_keep isl_space *dim,
521                                  enum isl_dim_type type, unsigned pos)
522 {
523         isl_id *id = get_id(dim, type, pos);
524         return id ? id->name : NULL;
525 }
526
527 int isl_space_find_dim_by_id(__isl_keep isl_space *dim, enum isl_dim_type type,
528         __isl_keep isl_id *id)
529 {
530         int i;
531         int offset;
532         int n;
533
534         if (!dim || !id)
535                 return -1;
536
537         offset = isl_space_offset(dim, type);
538         n = isl_space_dim(dim, type);
539         for (i = 0; i < n && offset + i < dim->n_id; ++i)
540                 if (dim->ids[offset + i] == id)
541                         return i;
542
543         return -1;
544 }
545
546 int isl_space_find_dim_by_name(__isl_keep isl_space *space,
547         enum isl_dim_type type, const char *name)
548 {
549         int i;
550         int offset;
551         int n;
552
553         if (!space || !name)
554                 return -1;
555
556         offset = isl_space_offset(space, type);
557         n = isl_space_dim(space, type);
558         for (i = 0; i < n && offset + i < space->n_id; ++i)
559                 if (space->ids[offset + i]->name &&
560                     !strcmp(space->ids[offset + i]->name, name))
561                         return i;
562
563         return -1;
564 }
565
566 static __isl_keep isl_id *tuple_id(__isl_keep isl_space *dim,
567         enum isl_dim_type type)
568 {
569         if (!dim)
570                 return NULL;
571         if (type == isl_dim_in)
572                 return dim->tuple_id[0];
573         if (type == isl_dim_out)
574                 return dim->tuple_id[1];
575         return NULL;
576 }
577
578 static __isl_keep isl_space *nested(__isl_keep isl_space *dim,
579         enum isl_dim_type type)
580 {
581         if (!dim)
582                 return NULL;
583         if (type == isl_dim_in)
584                 return dim->nested[0];
585         if (type == isl_dim_out)
586                 return dim->nested[1];
587         return NULL;
588 }
589
590 int isl_space_tuple_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
591                         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
592 {
593         isl_id *id1, *id2;
594         isl_space *nested1, *nested2;
595
596         if (!dim1 || !dim2)
597                 return -1;
598
599         if (dim1 == dim2 && dim1_type == dim2_type)
600                 return 1;
601
602         if (n(dim1, dim1_type) != n(dim2, dim2_type))
603                 return 0;
604         id1 = tuple_id(dim1, dim1_type);
605         id2 = tuple_id(dim2, dim2_type);
606         if (!id1 ^ !id2)
607                 return 0;
608         if (id1 && id1 != id2)
609                 return 0;
610         nested1 = nested(dim1, dim1_type);
611         nested2 = nested(dim2, dim2_type);
612         if (!nested1 ^ !nested2)
613                 return 0;
614         if (nested1 && !isl_space_is_equal(nested1, nested2))
615                 return 0;
616         return 1;
617 }
618
619 static int match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
620         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
621 {
622         int i;
623
624         if (dim1 == dim2 && dim1_type == dim2_type)
625                 return 1;
626
627         if (!isl_space_tuple_match(dim1, dim1_type, dim2, dim2_type))
628                 return 0;
629
630         if (!dim1->ids && !dim2->ids)
631                 return 1;
632
633         for (i = 0; i < n(dim1, dim1_type); ++i) {
634                 if (get_id(dim1, dim1_type, i) != get_id(dim2, dim2_type, i))
635                         return 0;
636         }
637         return 1;
638 }
639
640 int isl_space_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
641         __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
642 {
643         if (!dim1 || !dim2)
644                 return -1;
645
646         return match(dim1, dim1_type, dim2, dim2_type);
647 }
648
649 static void get_ids(__isl_keep isl_space *dim, enum isl_dim_type type,
650         unsigned first, unsigned n, __isl_keep isl_id **ids)
651 {
652         int i;
653
654         for (i = 0; i < n ; ++i)
655                 ids[i] = get_id(dim, type, first + i);
656 }
657
658 __isl_give isl_space *isl_space_extend(__isl_take isl_space *dim,
659                         unsigned nparam, unsigned n_in, unsigned n_out)
660 {
661         isl_id **ids = NULL;
662
663         if (!dim)
664                 return NULL;
665         if (dim->nparam == nparam && dim->n_in == n_in && dim->n_out == n_out)
666                 return dim;
667
668         isl_assert(dim->ctx, dim->nparam <= nparam, goto error);
669         isl_assert(dim->ctx, dim->n_in <= n_in, goto error);
670         isl_assert(dim->ctx, dim->n_out <= n_out, goto error);
671
672         dim = isl_space_cow(dim);
673
674         if (dim->ids) {
675                 ids = isl_calloc_array(dim->ctx, isl_id *,
676                                          nparam + n_in + n_out);
677                 if (!ids)
678                         goto error;
679                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
680                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids + nparam);
681                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + nparam + n_in);
682                 free(dim->ids);
683                 dim->ids = ids;
684                 dim->n_id = nparam + n_in + n_out;
685         }
686         dim->nparam = nparam;
687         dim->n_in = n_in;
688         dim->n_out = n_out;
689
690         return dim;
691 error:
692         free(ids);
693         isl_space_free(dim);
694         return NULL;
695 }
696
697 __isl_give isl_space *isl_space_add_dims(__isl_take isl_space *dim,
698         enum isl_dim_type type, unsigned n)
699 {
700         if (!dim)
701                 return NULL;
702         dim = isl_space_reset(dim, type);
703         switch (type) {
704         case isl_dim_param:
705                 dim = isl_space_extend(dim,
706                                         dim->nparam + n, dim->n_in, dim->n_out);
707                 if (dim && dim->nested[0] &&
708                     !(dim->nested[0] = isl_space_add_dims(dim->nested[0],
709                                                     isl_dim_param, n)))
710                         goto error;
711                 if (dim && dim->nested[1] &&
712                     !(dim->nested[1] = isl_space_add_dims(dim->nested[1],
713                                                     isl_dim_param, n)))
714                         goto error;
715                 return dim;
716         case isl_dim_in:
717                 return isl_space_extend(dim,
718                                         dim->nparam, dim->n_in + n, dim->n_out);
719         case isl_dim_out:
720                 return isl_space_extend(dim,
721                                         dim->nparam, dim->n_in, dim->n_out + n);
722         default:
723                 isl_die(dim->ctx, isl_error_invalid,
724                         "cannot add dimensions of specified type", goto error);
725         }
726 error:
727         isl_space_free(dim);
728         return NULL;
729 }
730
731 static int valid_dim_type(enum isl_dim_type type)
732 {
733         switch (type) {
734         case isl_dim_param:
735         case isl_dim_in:
736         case isl_dim_out:
737                 return 1;
738         default:
739                 return 0;
740         }
741 }
742
743 __isl_give isl_space *isl_space_insert_dims(__isl_take isl_space *dim,
744         enum isl_dim_type type, unsigned pos, unsigned n)
745 {
746         isl_id **ids = NULL;
747
748         if (!dim)
749                 return NULL;
750         if (n == 0)
751                 return isl_space_reset(dim, type);
752
753         if (!valid_dim_type(type))
754                 isl_die(dim->ctx, isl_error_invalid,
755                         "cannot insert dimensions of specified type",
756                         goto error);
757
758         isl_assert(dim->ctx, pos <= isl_space_dim(dim, type), goto error);
759
760         dim = isl_space_cow(dim);
761         if (!dim)
762                 return NULL;
763
764         if (dim->ids) {
765                 enum isl_dim_type t;
766                 int off;
767                 int s[3];
768                 int *size = s - isl_dim_param;
769                 ids = isl_calloc_array(dim->ctx, isl_id *,
770                                      dim->nparam + dim->n_in + dim->n_out + n);
771                 if (!ids)
772                         goto error;
773                 off = 0;
774                 size[isl_dim_param] = dim->nparam;
775                 size[isl_dim_in] = dim->n_in;
776                 size[isl_dim_out] = dim->n_out;
777                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
778                         if (t != type) {
779                                 get_ids(dim, t, 0, size[t], ids + off);
780                                 off += size[t];
781                         } else {
782                                 get_ids(dim, t, 0, pos, ids + off);
783                                 off += pos + n;
784                                 get_ids(dim, t, pos, size[t] - pos, ids + off);
785                                 off += size[t] - pos;
786                         }
787                 }
788                 free(dim->ids);
789                 dim->ids = ids;
790                 dim->n_id = dim->nparam + dim->n_in + dim->n_out + n;
791         }
792         switch (type) {
793         case isl_dim_param:     dim->nparam += n; break;
794         case isl_dim_in:        dim->n_in += n; break;
795         case isl_dim_out:       dim->n_out += n; break;
796         default:                ;
797         }
798         dim = isl_space_reset(dim, type);
799
800         return dim;
801 error:
802         isl_space_free(dim);
803         return NULL;
804 }
805
806 __isl_give isl_space *isl_space_move_dims(__isl_take isl_space *dim,
807         enum isl_dim_type dst_type, unsigned dst_pos,
808         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
809 {
810         int i;
811
812         if (!dim)
813                 return NULL;
814         if (n == 0)
815                 return dim;
816
817         isl_assert(dim->ctx, src_pos + n <= isl_space_dim(dim, src_type),
818                 goto error);
819
820         if (dst_type == src_type && dst_pos == src_pos)
821                 return dim;
822
823         isl_assert(dim->ctx, dst_type != src_type, goto error);
824
825         dim = isl_space_reset(dim, src_type);
826         dim = isl_space_reset(dim, dst_type);
827
828         dim = isl_space_cow(dim);
829         if (!dim)
830                 return NULL;
831
832         if (dim->ids) {
833                 isl_id **ids;
834                 enum isl_dim_type t;
835                 int off;
836                 int s[3];
837                 int *size = s - isl_dim_param;
838                 ids = isl_calloc_array(dim->ctx, isl_id *,
839                                          dim->nparam + dim->n_in + dim->n_out);
840                 if (!ids)
841                         goto error;
842                 off = 0;
843                 size[isl_dim_param] = dim->nparam;
844                 size[isl_dim_in] = dim->n_in;
845                 size[isl_dim_out] = dim->n_out;
846                 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
847                         if (t == dst_type) {
848                                 get_ids(dim, t, 0, dst_pos, ids + off);
849                                 off += dst_pos;
850                                 get_ids(dim, src_type, src_pos, n, ids + off);
851                                 off += n;
852                                 get_ids(dim, t, dst_pos, size[t] - dst_pos,
853                                                 ids + off);
854                                 off += size[t] - dst_pos;
855                         } else if (t == src_type) {
856                                 get_ids(dim, t, 0, src_pos, ids + off);
857                                 off += src_pos;
858                                 get_ids(dim, t, src_pos + n,
859                                             size[t] - src_pos - n, ids + off);
860                                 off += size[t] - src_pos - n;
861                         } else {
862                                 get_ids(dim, t, 0, size[t], ids + off);
863                                 off += size[t];
864                         }
865                 }
866                 free(dim->ids);
867                 dim->ids = ids;
868                 dim->n_id = dim->nparam + dim->n_in + dim->n_out;
869         }
870
871         switch (dst_type) {
872         case isl_dim_param:     dim->nparam += n; break;
873         case isl_dim_in:        dim->n_in += n; break;
874         case isl_dim_out:       dim->n_out += n; break;
875         default:                ;
876         }
877
878         switch (src_type) {
879         case isl_dim_param:     dim->nparam -= n; break;
880         case isl_dim_in:        dim->n_in -= n; break;
881         case isl_dim_out:       dim->n_out -= n; break;
882         default:                ;
883         }
884
885         if (dst_type != isl_dim_param && src_type != isl_dim_param)
886                 return dim;
887
888         for (i = 0; i < 2; ++i) {
889                 if (!dim->nested[i])
890                         continue;
891                 dim->nested[i] = isl_space_replace(dim->nested[i],
892                                                  isl_dim_param, dim);
893                 if (!dim->nested[i])
894                         goto error;
895         }
896
897         return dim;
898 error:
899         isl_space_free(dim);
900         return NULL;
901 }
902
903 __isl_give isl_space *isl_space_join(__isl_take isl_space *left,
904         __isl_take isl_space *right)
905 {
906         isl_space *dim;
907
908         if (!left || !right)
909                 goto error;
910
911         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
912                         goto error);
913         isl_assert(left->ctx,
914                 isl_space_tuple_match(left, isl_dim_out, right, isl_dim_in),
915                 goto error);
916
917         dim = isl_space_alloc(left->ctx, left->nparam, left->n_in, right->n_out);
918         if (!dim)
919                 goto error;
920
921         dim = copy_ids(dim, isl_dim_param, 0, left, isl_dim_param);
922         dim = copy_ids(dim, isl_dim_in, 0, left, isl_dim_in);
923         dim = copy_ids(dim, isl_dim_out, 0, right, isl_dim_out);
924
925         if (dim && left->tuple_id[0] &&
926             !(dim->tuple_id[0] = isl_id_copy(left->tuple_id[0])))
927                 goto error;
928         if (dim && right->tuple_id[1] &&
929             !(dim->tuple_id[1] = isl_id_copy(right->tuple_id[1])))
930                 goto error;
931         if (dim && left->nested[0] &&
932             !(dim->nested[0] = isl_space_copy(left->nested[0])))
933                 goto error;
934         if (dim && right->nested[1] &&
935             !(dim->nested[1] = isl_space_copy(right->nested[1])))
936                 goto error;
937
938         isl_space_free(left);
939         isl_space_free(right);
940
941         return dim;
942 error:
943         isl_space_free(left);
944         isl_space_free(right);
945         return NULL;
946 }
947
948 __isl_give isl_space *isl_space_product(__isl_take isl_space *left,
949         __isl_take isl_space *right)
950 {
951         isl_space *dom1, *dom2, *nest1, *nest2;
952
953         if (!left || !right)
954                 goto error;
955
956         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
957                         goto error);
958
959         dom1 = isl_space_domain(isl_space_copy(left));
960         dom2 = isl_space_domain(isl_space_copy(right));
961         nest1 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
962
963         dom1 = isl_space_range(left);
964         dom2 = isl_space_range(right);
965         nest2 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
966
967         return isl_space_join(isl_space_reverse(nest1), nest2);
968 error:
969         isl_space_free(left);
970         isl_space_free(right);
971         return NULL;
972 }
973
974 /* Given two spaces { A -> C } and { B -> C }, construct the space
975  * { [A -> B] -> C }
976  */
977 __isl_give isl_space *isl_space_domain_product(__isl_take isl_space *left,
978         __isl_take isl_space *right)
979 {
980         isl_space *ran, *dom1, *dom2, *nest;
981
982         if (!left || !right)
983                 goto error;
984
985         if (!match(left, isl_dim_param, right, isl_dim_param))
986                 isl_die(left->ctx, isl_error_invalid,
987                         "parameters need to match", goto error);
988         if (!isl_space_tuple_match(left, isl_dim_out, right, isl_dim_out))
989                 isl_die(left->ctx, isl_error_invalid,
990                         "ranges need to match", goto error);
991
992         ran = isl_space_range(isl_space_copy(left));
993
994         dom1 = isl_space_domain(left);
995         dom2 = isl_space_domain(right);
996         nest = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
997
998         return isl_space_join(isl_space_reverse(nest), ran);
999 error:
1000         isl_space_free(left);
1001         isl_space_free(right);
1002         return NULL;
1003 }
1004
1005 __isl_give isl_space *isl_space_range_product(__isl_take isl_space *left,
1006         __isl_take isl_space *right)
1007 {
1008         isl_space *dom, *ran1, *ran2, *nest;
1009
1010         if (!left || !right)
1011                 goto error;
1012
1013         isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1014                         goto error);
1015         if (!isl_space_tuple_match(left, isl_dim_in, right, isl_dim_in))
1016                 isl_die(left->ctx, isl_error_invalid,
1017                         "domains need to match", goto error);
1018
1019         dom = isl_space_domain(isl_space_copy(left));
1020
1021         ran1 = isl_space_range(left);
1022         ran2 = isl_space_range(right);
1023         nest = isl_space_wrap(isl_space_join(isl_space_reverse(ran1), ran2));
1024
1025         return isl_space_join(isl_space_reverse(dom), nest);
1026 error:
1027         isl_space_free(left);
1028         isl_space_free(right);
1029         return NULL;
1030 }
1031
1032 __isl_give isl_space *isl_space_map_from_set(__isl_take isl_space *dim)
1033 {
1034         isl_ctx *ctx;
1035         isl_id **ids = NULL;
1036
1037         if (!dim)
1038                 return NULL;
1039         ctx = isl_space_get_ctx(dim);
1040         if (!isl_space_is_set(dim))
1041                 isl_die(ctx, isl_error_invalid, "not a set space", goto error);
1042         dim = isl_space_cow(dim);
1043         if (!dim)
1044                 return NULL;
1045         if (dim->ids) {
1046                 ids = isl_calloc_array(dim->ctx, isl_id *,
1047                                         dim->nparam + dim->n_out + dim->n_out);
1048                 if (!ids)
1049                         goto error;
1050                 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
1051                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->nparam);
1052         }
1053         dim->n_in = dim->n_out;
1054         if (ids) {
1055                 free(dim->ids);
1056                 dim->ids = ids;
1057                 dim->n_id = dim->nparam + dim->n_out + dim->n_out;
1058                 dim = copy_ids(dim, isl_dim_out, 0, dim, isl_dim_in);
1059         }
1060         isl_id_free(dim->tuple_id[0]);
1061         dim->tuple_id[0] = isl_id_copy(dim->tuple_id[1]);
1062         isl_space_free(dim->nested[0]);
1063         dim->nested[0] = isl_space_copy(dim->nested[1]);
1064         return dim;
1065 error:
1066         isl_space_free(dim);
1067         return NULL;
1068 }
1069
1070 __isl_give isl_space *isl_space_map_from_domain_and_range(
1071         __isl_take isl_space *domain, __isl_take isl_space *range)
1072 {
1073         if (!domain || !range)
1074                 goto error;
1075         if (!isl_space_is_set(domain))
1076                 isl_die(isl_space_get_ctx(domain), isl_error_invalid,
1077                         "domain is not a set space", goto error);
1078         if (!isl_space_is_set(range))
1079                 isl_die(isl_space_get_ctx(range), isl_error_invalid,
1080                         "range is not a set space", goto error);
1081         return isl_space_join(isl_space_reverse(domain), range);
1082 error:
1083         isl_space_free(domain);
1084         isl_space_free(range);
1085         return NULL;
1086 }
1087
1088 static __isl_give isl_space *set_ids(__isl_take isl_space *dim,
1089         enum isl_dim_type type,
1090         unsigned first, unsigned n, __isl_take isl_id **ids)
1091 {
1092         int i;
1093
1094         for (i = 0; i < n ; ++i)
1095                 dim = set_id(dim, type, first + i, ids[i]);
1096
1097         return dim;
1098 }
1099
1100 __isl_give isl_space *isl_space_reverse(__isl_take isl_space *dim)
1101 {
1102         unsigned t;
1103         isl_space *nested;
1104         isl_id **ids = NULL;
1105         isl_id *id;
1106
1107         if (!dim)
1108                 return NULL;
1109         if (match(dim, isl_dim_in, dim, isl_dim_out))
1110                 return dim;
1111
1112         dim = isl_space_cow(dim);
1113         if (!dim)
1114                 return NULL;
1115
1116         id = dim->tuple_id[0];
1117         dim->tuple_id[0] = dim->tuple_id[1];
1118         dim->tuple_id[1] = id;
1119
1120         nested = dim->nested[0];
1121         dim->nested[0] = dim->nested[1];
1122         dim->nested[1] = nested;
1123
1124         if (dim->ids) {
1125                 ids = isl_alloc_array(dim->ctx, isl_id *,
1126                                         dim->n_in + dim->n_out);
1127                 if (!ids)
1128                         goto error;
1129                 get_ids(dim, isl_dim_in, 0, dim->n_in, ids);
1130                 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->n_in);
1131         }
1132
1133         t = dim->n_in;
1134         dim->n_in = dim->n_out;
1135         dim->n_out = t;
1136
1137         if (dim->ids) {
1138                 dim = set_ids(dim, isl_dim_out, 0, dim->n_out, ids);
1139                 dim = set_ids(dim, isl_dim_in, 0, dim->n_in, ids + dim->n_out);
1140                 free(ids);
1141         }
1142
1143         return dim;
1144 error:
1145         free(ids);
1146         isl_space_free(dim);
1147         return NULL;
1148 }
1149
1150 __isl_give isl_space *isl_space_drop_dims(__isl_take isl_space *dim,
1151         enum isl_dim_type type, unsigned first, unsigned num)
1152 {
1153         int i;
1154
1155         if (!dim)
1156                 return NULL;
1157
1158         if (num == 0)
1159                 return isl_space_reset(dim, type);
1160
1161         if (!valid_dim_type(type))
1162                 isl_die(dim->ctx, isl_error_invalid,
1163                         "cannot drop dimensions of specified type", goto error);
1164
1165         isl_assert(dim->ctx, first + num <= n(dim, type), goto error);
1166         dim = isl_space_cow(dim);
1167         if (!dim)
1168                 goto error;
1169         if (dim->ids) {
1170                 dim = extend_ids(dim);
1171                 if (!dim)
1172                         goto error;
1173                 for (i = 0; i < num; ++i)
1174                         isl_id_free(get_id(dim, type, first + i));
1175                 for (i = first+num; i < n(dim, type); ++i)
1176                         set_id(dim, type, i - num, get_id(dim, type, i));
1177                 switch (type) {
1178                 case isl_dim_param:
1179                         get_ids(dim, isl_dim_in, 0, dim->n_in,
1180                                 dim->ids + offset(dim, isl_dim_in) - num);
1181                 case isl_dim_in:
1182                         get_ids(dim, isl_dim_out, 0, dim->n_out,
1183                                 dim->ids + offset(dim, isl_dim_out) - num);
1184                 default:
1185                         ;
1186                 }
1187                 dim->n_id -= num;
1188         }
1189         switch (type) {
1190         case isl_dim_param:     dim->nparam -= num; break;
1191         case isl_dim_in:        dim->n_in -= num; break;
1192         case isl_dim_out:       dim->n_out -= num; break;
1193         default:                ;
1194         }
1195         dim = isl_space_reset(dim, type);
1196         if (type == isl_dim_param) {
1197                 if (dim && dim->nested[0] &&
1198                     !(dim->nested[0] = isl_space_drop_dims(dim->nested[0],
1199                                                     isl_dim_param, first, num)))
1200                         goto error;
1201                 if (dim && dim->nested[1] &&
1202                     !(dim->nested[1] = isl_space_drop_dims(dim->nested[1],
1203                                                     isl_dim_param, first, num)))
1204                         goto error;
1205         }
1206         return dim;
1207 error:
1208         isl_space_free(dim);
1209         return NULL;
1210 }
1211
1212 __isl_give isl_space *isl_space_drop_inputs(__isl_take isl_space *dim,
1213                 unsigned first, unsigned n)
1214 {
1215         if (!dim)
1216                 return NULL;
1217         return isl_space_drop_dims(dim, isl_dim_in, first, n);
1218 }
1219
1220 __isl_give isl_space *isl_space_drop_outputs(__isl_take isl_space *dim,
1221                 unsigned first, unsigned n)
1222 {
1223         if (!dim)
1224                 return NULL;
1225         return isl_space_drop_dims(dim, isl_dim_out, first, n);
1226 }
1227
1228 __isl_give isl_space *isl_space_domain(__isl_take isl_space *dim)
1229 {
1230         if (!dim)
1231                 return NULL;
1232         dim = isl_space_drop_outputs(dim, 0, dim->n_out);
1233         dim = isl_space_reverse(dim);
1234         dim = mark_as_set(dim);
1235         return dim;
1236 }
1237
1238 __isl_give isl_space *isl_space_from_domain(__isl_take isl_space *dim)
1239 {
1240         if (!dim)
1241                 return NULL;
1242         if (!isl_space_is_set(dim))
1243                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1244                         "not a set space", goto error);
1245         dim = isl_space_reverse(dim);
1246         dim = isl_space_reset(dim, isl_dim_out);
1247         return dim;
1248 error:
1249         isl_space_free(dim);
1250         return NULL;
1251 }
1252
1253 __isl_give isl_space *isl_space_range(__isl_take isl_space *dim)
1254 {
1255         if (!dim)
1256                 return NULL;
1257         dim = isl_space_drop_inputs(dim, 0, dim->n_in);
1258         dim = mark_as_set(dim);
1259         return dim;
1260 }
1261
1262 __isl_give isl_space *isl_space_from_range(__isl_take isl_space *dim)
1263 {
1264         if (!dim)
1265                 return NULL;
1266         if (!isl_space_is_set(dim))
1267                 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1268                         "not a set space", goto error);
1269         return isl_space_reset(dim, isl_dim_in);
1270 error:
1271         isl_space_free(dim);
1272         return NULL;
1273 }
1274
1275 __isl_give isl_space *isl_space_params(__isl_take isl_space *space)
1276 {
1277         if (isl_space_is_params(space))
1278                 return space;
1279         space = isl_space_drop_dims(space,
1280                             isl_dim_in, 0, isl_space_dim(space, isl_dim_in));
1281         space = isl_space_drop_dims(space,
1282                             isl_dim_out, 0, isl_space_dim(space, isl_dim_out));
1283         space = mark_as_params(space);
1284         return space;
1285 }
1286
1287 __isl_give isl_space *isl_space_set_from_params(__isl_take isl_space *space)
1288 {
1289         if (!space)
1290                 return NULL;
1291         if (!isl_space_is_params(space))
1292                 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1293                         "not a parameter space", goto error);
1294         return isl_space_reset(space, isl_dim_set);
1295 error:
1296         isl_space_free(space);
1297         return NULL;
1298 }
1299
1300 __isl_give isl_space *isl_space_as_set_space(__isl_take isl_space *dim)
1301 {
1302         dim = isl_space_cow(dim);
1303         if (!dim)
1304                 return NULL;
1305
1306         dim->n_out += dim->n_in;
1307         dim->n_in = 0;
1308         dim = isl_space_reset(dim, isl_dim_in);
1309         dim = isl_space_reset(dim, isl_dim_out);
1310
1311         return dim;
1312 }
1313
1314 __isl_give isl_space *isl_space_underlying(__isl_take isl_space *dim,
1315         unsigned n_div)
1316 {
1317         int i;
1318
1319         if (!dim)
1320                 return NULL;
1321         if (n_div == 0 &&
1322             dim->nparam == 0 && dim->n_in == 0 && dim->n_id == 0)
1323                 return isl_space_reset(isl_space_reset(dim, isl_dim_in), isl_dim_out);
1324         dim = isl_space_cow(dim);
1325         if (!dim)
1326                 return NULL;
1327         dim->n_out += dim->nparam + dim->n_in + n_div;
1328         dim->nparam = 0;
1329         dim->n_in = 0;
1330
1331         for (i = 0; i < dim->n_id; ++i)
1332                 isl_id_free(get_id(dim, isl_dim_out, i));
1333         dim->n_id = 0;
1334         dim = isl_space_reset(dim, isl_dim_in);
1335         dim = isl_space_reset(dim, isl_dim_out);
1336
1337         return dim;
1338 }
1339
1340 int isl_space_is_equal(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1341 {
1342         if (!dim1 || !dim2)
1343                 return -1;
1344         if (dim1 == dim2)
1345                 return 1;
1346         return match(dim1, isl_dim_param, dim2, isl_dim_param) &&
1347                isl_space_tuple_match(dim1, isl_dim_in, dim2, isl_dim_in) &&
1348                isl_space_tuple_match(dim1, isl_dim_out, dim2, isl_dim_out);
1349 }
1350
1351 /* Is space1 equal to the domain of space2?
1352  */
1353 int isl_space_is_domain(__isl_keep isl_space *space1,
1354         __isl_keep isl_space *space2)
1355 {
1356         if (!space1 || !space2)
1357                 return -1;
1358         if (!isl_space_is_set(space1))
1359                 return 0;
1360         return match(space1, isl_dim_param, space2, isl_dim_param) &&
1361                isl_space_tuple_match(space1, isl_dim_set, space2, isl_dim_in);
1362 }
1363
1364 int isl_space_compatible(__isl_keep isl_space *dim1,
1365         __isl_keep isl_space *dim2)
1366 {
1367         return dim1->nparam == dim2->nparam &&
1368                dim1->n_in + dim1->n_out == dim2->n_in + dim2->n_out;
1369 }
1370
1371 static uint32_t isl_hash_dim(uint32_t hash, __isl_keep isl_space *dim)
1372 {
1373         int i;
1374         isl_id *id;
1375
1376         if (!dim)
1377                 return hash;
1378
1379         hash = isl_hash_builtin(hash, dim->nparam);
1380         hash = isl_hash_builtin(hash, dim->n_in);
1381         hash = isl_hash_builtin(hash, dim->n_out);
1382
1383         for (i = 0; i < dim->nparam; ++i) {
1384                 id = get_id(dim, isl_dim_param, i);
1385                 hash = isl_hash_id(hash, id);
1386         }
1387
1388         id = tuple_id(dim, isl_dim_in);
1389         hash = isl_hash_id(hash, id);
1390         id = tuple_id(dim, isl_dim_out);
1391         hash = isl_hash_id(hash, id);
1392
1393         hash = isl_hash_dim(hash, dim->nested[0]);
1394         hash = isl_hash_dim(hash, dim->nested[1]);
1395
1396         return hash;
1397 }
1398
1399 uint32_t isl_space_get_hash(__isl_keep isl_space *dim)
1400 {
1401         uint32_t hash;
1402
1403         if (!dim)
1404                 return 0;
1405
1406         hash = isl_hash_init();
1407         hash = isl_hash_dim(hash, dim);
1408
1409         return hash;
1410 }
1411
1412 int isl_space_is_wrapping(__isl_keep isl_space *dim)
1413 {
1414         if (!dim)
1415                 return -1;
1416
1417         if (!isl_space_is_set(dim))
1418                 return 0;
1419
1420         return dim->nested[1] != NULL;
1421 }
1422
1423 __isl_give isl_space *isl_space_wrap(__isl_take isl_space *dim)
1424 {
1425         isl_space *wrap;
1426
1427         if (!dim)
1428                 return NULL;
1429
1430         wrap = isl_space_set_alloc(dim->ctx,
1431                                     dim->nparam, dim->n_in + dim->n_out);
1432
1433         wrap = copy_ids(wrap, isl_dim_param, 0, dim, isl_dim_param);
1434         wrap = copy_ids(wrap, isl_dim_set, 0, dim, isl_dim_in);
1435         wrap = copy_ids(wrap, isl_dim_set, dim->n_in, dim, isl_dim_out);
1436
1437         if (!wrap)
1438                 goto error;
1439
1440         wrap->nested[1] = dim;
1441
1442         return wrap;
1443 error:
1444         isl_space_free(dim);
1445         return NULL;
1446 }
1447
1448 __isl_give isl_space *isl_space_unwrap(__isl_take isl_space *dim)
1449 {
1450         isl_space *unwrap;
1451
1452         if (!dim)
1453                 return NULL;
1454
1455         if (!isl_space_is_wrapping(dim))
1456                 isl_die(dim->ctx, isl_error_invalid, "not a wrapping dim",
1457                         goto error);
1458
1459         unwrap = isl_space_copy(dim->nested[1]);
1460         isl_space_free(dim);
1461
1462         return unwrap;
1463 error:
1464         isl_space_free(dim);
1465         return NULL;
1466 }
1467
1468 int isl_space_is_named_or_nested(__isl_keep isl_space *dim, enum isl_dim_type type)
1469 {
1470         if (type != isl_dim_in && type != isl_dim_out)
1471                 return 0;
1472         if (!dim)
1473                 return -1;
1474         if (dim->tuple_id[type - isl_dim_in])
1475                 return 1;
1476         if (dim->nested[type - isl_dim_in])
1477                 return 1;
1478         return 0;
1479 }
1480
1481 int isl_space_may_be_set(__isl_keep isl_space *dim)
1482 {
1483         if (!dim)
1484                 return -1;
1485         if (isl_space_is_set(dim))
1486                 return 1;
1487         if (isl_space_dim(dim, isl_dim_in) != 0)
1488                 return 0;
1489         if (isl_space_is_named_or_nested(dim, isl_dim_in))
1490                 return 0;
1491         return 1;
1492 }
1493
1494 __isl_give isl_space *isl_space_reset(__isl_take isl_space *dim,
1495         enum isl_dim_type type)
1496 {
1497         if (!isl_space_is_named_or_nested(dim, type))
1498                 return dim;
1499
1500         dim = isl_space_cow(dim);
1501         if (!dim)
1502                 return NULL;
1503
1504         isl_id_free(dim->tuple_id[type - isl_dim_in]);
1505         dim->tuple_id[type - isl_dim_in] = NULL;
1506         isl_space_free(dim->nested[type - isl_dim_in]);
1507         dim->nested[type - isl_dim_in] = NULL;
1508
1509         return dim;
1510 }
1511
1512 __isl_give isl_space *isl_space_flatten(__isl_take isl_space *dim)
1513 {
1514         if (!dim)
1515                 return NULL;
1516         if (!dim->nested[0] && !dim->nested[1])
1517                 return dim;
1518
1519         if (dim->nested[0])
1520                 dim = isl_space_reset(dim, isl_dim_in);
1521         if (dim && dim->nested[1])
1522                 dim = isl_space_reset(dim, isl_dim_out);
1523
1524         return dim;
1525 }
1526
1527 __isl_give isl_space *isl_space_flatten_domain(__isl_take isl_space *dim)
1528 {
1529         if (!dim)
1530                 return NULL;
1531         if (!dim->nested[0])
1532                 return dim;
1533
1534         return isl_space_reset(dim, isl_dim_in);
1535 }
1536
1537 __isl_give isl_space *isl_space_flatten_range(__isl_take isl_space *dim)
1538 {
1539         if (!dim)
1540                 return NULL;
1541         if (!dim->nested[1])
1542                 return dim;
1543
1544         return isl_space_reset(dim, isl_dim_out);
1545 }
1546
1547 /* Replace the dimensions of the given type of dst by those of src.
1548  */
1549 __isl_give isl_space *isl_space_replace(__isl_take isl_space *dst,
1550         enum isl_dim_type type, __isl_keep isl_space *src)
1551 {
1552         dst = isl_space_cow(dst);
1553
1554         if (!dst || !src)
1555                 goto error;
1556
1557         dst = isl_space_drop_dims(dst, type, 0, isl_space_dim(dst, type));
1558         dst = isl_space_add_dims(dst, type, isl_space_dim(src, type));
1559         dst = copy_ids(dst, type, 0, src, type);
1560
1561         if (dst && type == isl_dim_param) {
1562                 int i;
1563                 for (i = 0; i <= 1; ++i) {
1564                         if (!dst->nested[i])
1565                                 continue;
1566                         dst->nested[i] = isl_space_replace(dst->nested[i],
1567                                                          type, src);
1568                         if (!dst->nested[i])
1569                                 goto error;
1570                 }
1571         }
1572
1573         return dst;
1574 error:
1575         isl_space_free(dst);
1576         return NULL;
1577 }
1578
1579 /* Given a dimension specification "dim" of a set, create a dimension
1580  * specification for the lift of the set.  In particular, the result
1581  * is of the form [dim -> local[..]], with n_local variables in the
1582  * range of the wrapped map.
1583  */
1584 __isl_give isl_space *isl_space_lift(__isl_take isl_space *dim, unsigned n_local)
1585 {
1586         isl_space *local_dim;
1587
1588         if (!dim)
1589                 return NULL;
1590
1591         local_dim = isl_space_dup(dim);
1592         local_dim = isl_space_drop_dims(local_dim, isl_dim_set, 0, dim->n_out);
1593         local_dim = isl_space_add_dims(local_dim, isl_dim_set, n_local);
1594         local_dim = isl_space_set_tuple_name(local_dim, isl_dim_set, "local");
1595         dim = isl_space_join(isl_space_from_domain(dim),
1596                             isl_space_from_range(local_dim));
1597         dim = isl_space_wrap(dim);
1598         dim = isl_space_set_tuple_name(dim, isl_dim_set, "lifted");
1599
1600         return dim;
1601 }
1602
1603 int isl_space_can_zip(__isl_keep isl_space *dim)
1604 {
1605         if (!dim)
1606                 return -1;
1607
1608         return dim->nested[0] && dim->nested[1];
1609 }
1610
1611 __isl_give isl_space *isl_space_zip(__isl_take isl_space *dim)
1612 {
1613         isl_space *dom, *ran;
1614         isl_space *dom_dom, *dom_ran, *ran_dom, *ran_ran;
1615
1616         if (!isl_space_can_zip(dim))
1617                 isl_die(dim->ctx, isl_error_invalid, "dim cannot be zipped",
1618                         goto error);
1619
1620         if (!dim)
1621                 return 0;
1622         dom = isl_space_unwrap(isl_space_domain(isl_space_copy(dim)));
1623         ran = isl_space_unwrap(isl_space_range(dim));
1624         dom_dom = isl_space_domain(isl_space_copy(dom));
1625         dom_ran = isl_space_range(dom);
1626         ran_dom = isl_space_domain(isl_space_copy(ran));
1627         ran_ran = isl_space_range(ran);
1628         dom = isl_space_join(isl_space_from_domain(dom_dom),
1629                            isl_space_from_range(ran_dom));
1630         ran = isl_space_join(isl_space_from_domain(dom_ran),
1631                            isl_space_from_range(ran_ran));
1632         return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
1633                             isl_space_from_range(isl_space_wrap(ran)));
1634 error:
1635         isl_space_free(dim);
1636         return NULL;
1637 }
1638
1639 int isl_space_has_named_params(__isl_keep isl_space *dim)
1640 {
1641         int i;
1642         unsigned off;
1643
1644         if (!dim)
1645                 return -1;
1646         if (dim->nparam == 0)
1647                 return 1;
1648         off = isl_space_offset(dim, isl_dim_param);
1649         if (off + dim->nparam > dim->n_id)
1650                 return 0;
1651         for (i = 0; i < dim->nparam; ++i)
1652                 if (!dim->ids[off + i])
1653                         return 0;
1654         return 1;
1655 }
1656
1657 /* Align the initial parameters of dim1 to match the order in dim2.
1658  */
1659 __isl_give isl_space *isl_space_align_params(__isl_take isl_space *dim1,
1660         __isl_take isl_space *dim2)
1661 {
1662         isl_reordering *exp;
1663
1664         if (!isl_space_has_named_params(dim1) || !isl_space_has_named_params(dim2))
1665                 isl_die(isl_space_get_ctx(dim1), isl_error_invalid,
1666                         "parameter alignment requires named parameters",
1667                         goto error);
1668
1669         dim2 = isl_space_params(dim2);
1670         exp = isl_parameter_alignment_reordering(dim1, dim2);
1671         exp = isl_reordering_extend_space(exp, dim1);
1672         isl_space_free(dim2);
1673         if (!exp)
1674                 return NULL;
1675         dim1 = isl_space_copy(exp->dim);
1676         isl_reordering_free(exp);
1677         return dim1;
1678 error:
1679         isl_space_free(dim1);
1680         isl_space_free(dim2);
1681         return NULL;
1682 }
1683
1684 /* Given the space of set (domain), construct a space for a map
1685  * with as domain the given space and as range the range of "model".
1686  */
1687 __isl_give isl_space *isl_space_extend_domain_with_range(
1688         __isl_take isl_space *domain, __isl_take isl_space *model)
1689 {
1690         isl_space *space;
1691
1692         space = isl_space_from_domain(domain);
1693         space = isl_space_add_dims(space, isl_dim_out,
1694                                     isl_space_dim(model, isl_dim_out));
1695         if (isl_space_has_tuple_id(model, isl_dim_out))
1696                 space = isl_space_set_tuple_id(space, isl_dim_out,
1697                                 isl_space_get_tuple_id(model, isl_dim_out));
1698         isl_space_free(model);
1699         return space;
1700 }