add isl_space_factor_range
[isl.git] / isl_space.c
blobe284504fe77934ce89b299b8d376c7f28296e5d6
1 /*
2 * Copyright 2008-2009 Katholieke Universiteit Leuven
3 * Copyright 2010 INRIA Saclay
4 * Copyright 2013-2014 Ecole Normale Superieure
6 * Use of this software is governed by the MIT license
8 * Written by Sven Verdoolaege, K.U.Leuven, Departement
9 * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
10 * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
11 * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
12 * and Ecole Normale Superieure, 45 rue d’Ulm, 75230 Paris, France
15 #include <stdlib.h>
16 #include <string.h>
17 #include <isl_space_private.h>
18 #include <isl_id_private.h>
19 #include <isl_reordering.h>
21 isl_ctx *isl_space_get_ctx(__isl_keep isl_space *dim)
23 return dim ? dim->ctx : NULL;
26 __isl_give isl_space *isl_space_alloc(isl_ctx *ctx,
27 unsigned nparam, unsigned n_in, unsigned n_out)
29 isl_space *dim;
31 dim = isl_alloc_type(ctx, struct isl_space);
32 if (!dim)
33 return NULL;
35 dim->ctx = ctx;
36 isl_ctx_ref(ctx);
37 dim->ref = 1;
38 dim->nparam = nparam;
39 dim->n_in = n_in;
40 dim->n_out = n_out;
42 dim->tuple_id[0] = NULL;
43 dim->tuple_id[1] = NULL;
45 dim->nested[0] = NULL;
46 dim->nested[1] = NULL;
48 dim->n_id = 0;
49 dim->ids = NULL;
51 return dim;
54 /* Mark the space as being that of a set, by setting the domain tuple
55 * to isl_id_none.
57 static __isl_give isl_space *mark_as_set(__isl_take isl_space *space)
59 space = isl_space_cow(space);
60 if (!space)
61 return NULL;
62 space = isl_space_set_tuple_id(space, isl_dim_in, &isl_id_none);
63 return space;
66 /* Is the space that of a set?
68 int isl_space_is_set(__isl_keep isl_space *space)
70 if (!space)
71 return -1;
72 if (space->n_in != 0 || space->nested[0])
73 return 0;
74 if (space->tuple_id[0] != &isl_id_none)
75 return 0;
76 return 1;
79 /* Is the given space that of a map?
81 int isl_space_is_map(__isl_keep isl_space *space)
83 if (!space)
84 return -1;
85 return space->tuple_id[0] != &isl_id_none &&
86 space->tuple_id[1] != &isl_id_none;
89 __isl_give isl_space *isl_space_set_alloc(isl_ctx *ctx,
90 unsigned nparam, unsigned dim)
92 isl_space *space;
93 space = isl_space_alloc(ctx, nparam, 0, dim);
94 space = mark_as_set(space);
95 return space;
98 /* Mark the space as being that of a parameter domain, by setting
99 * both tuples to isl_id_none.
101 static __isl_give isl_space *mark_as_params(isl_space *space)
103 if (!space)
104 return NULL;
105 space = isl_space_set_tuple_id(space, isl_dim_in, &isl_id_none);
106 space = isl_space_set_tuple_id(space, isl_dim_out, &isl_id_none);
107 return space;
110 /* Is the space that of a parameter domain?
112 int isl_space_is_params(__isl_keep isl_space *space)
114 if (!space)
115 return -1;
116 if (space->n_in != 0 || space->nested[0] ||
117 space->n_out != 0 || space->nested[1])
118 return 0;
119 if (space->tuple_id[0] != &isl_id_none)
120 return 0;
121 if (space->tuple_id[1] != &isl_id_none)
122 return 0;
123 return 1;
126 /* Create a space for a parameter domain.
128 __isl_give isl_space *isl_space_params_alloc(isl_ctx *ctx, unsigned nparam)
130 isl_space *space;
131 space = isl_space_alloc(ctx, nparam, 0, 0);
132 space = mark_as_params(space);
133 return space;
136 static unsigned global_pos(__isl_keep isl_space *dim,
137 enum isl_dim_type type, unsigned pos)
139 struct isl_ctx *ctx = dim->ctx;
141 switch (type) {
142 case isl_dim_param:
143 isl_assert(ctx, pos < dim->nparam,
144 return isl_space_dim(dim, isl_dim_all));
145 return pos;
146 case isl_dim_in:
147 isl_assert(ctx, pos < dim->n_in,
148 return isl_space_dim(dim, isl_dim_all));
149 return pos + dim->nparam;
150 case isl_dim_out:
151 isl_assert(ctx, pos < dim->n_out,
152 return isl_space_dim(dim, isl_dim_all));
153 return pos + dim->nparam + dim->n_in;
154 default:
155 isl_assert(ctx, 0, return isl_space_dim(dim, isl_dim_all));
157 return isl_space_dim(dim, isl_dim_all);
160 /* Extend length of ids array to the total number of dimensions.
162 static __isl_give isl_space *extend_ids(__isl_take isl_space *dim)
164 isl_id **ids;
165 int i;
167 if (isl_space_dim(dim, isl_dim_all) <= dim->n_id)
168 return dim;
170 if (!dim->ids) {
171 dim->ids = isl_calloc_array(dim->ctx,
172 isl_id *, isl_space_dim(dim, isl_dim_all));
173 if (!dim->ids)
174 goto error;
175 } else {
176 ids = isl_realloc_array(dim->ctx, dim->ids,
177 isl_id *, isl_space_dim(dim, isl_dim_all));
178 if (!ids)
179 goto error;
180 dim->ids = ids;
181 for (i = dim->n_id; i < isl_space_dim(dim, isl_dim_all); ++i)
182 dim->ids[i] = NULL;
185 dim->n_id = isl_space_dim(dim, isl_dim_all);
187 return dim;
188 error:
189 isl_space_free(dim);
190 return NULL;
193 static __isl_give isl_space *set_id(__isl_take isl_space *dim,
194 enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
196 dim = isl_space_cow(dim);
198 if (!dim)
199 goto error;
201 pos = global_pos(dim, type, pos);
202 if (pos == isl_space_dim(dim, isl_dim_all))
203 goto error;
205 if (pos >= dim->n_id) {
206 if (!id)
207 return dim;
208 dim = extend_ids(dim);
209 if (!dim)
210 goto error;
213 dim->ids[pos] = id;
215 return dim;
216 error:
217 isl_id_free(id);
218 isl_space_free(dim);
219 return NULL;
222 static __isl_keep isl_id *get_id(__isl_keep isl_space *dim,
223 enum isl_dim_type type, unsigned pos)
225 if (!dim)
226 return NULL;
228 pos = global_pos(dim, type, pos);
229 if (pos == isl_space_dim(dim, isl_dim_all))
230 return NULL;
231 if (pos >= dim->n_id)
232 return NULL;
233 return dim->ids[pos];
236 static unsigned offset(__isl_keep isl_space *dim, enum isl_dim_type type)
238 switch (type) {
239 case isl_dim_param: return 0;
240 case isl_dim_in: return dim->nparam;
241 case isl_dim_out: return dim->nparam + dim->n_in;
242 default: return 0;
246 static unsigned n(__isl_keep isl_space *dim, enum isl_dim_type type)
248 switch (type) {
249 case isl_dim_param: return dim->nparam;
250 case isl_dim_in: return dim->n_in;
251 case isl_dim_out: return dim->n_out;
252 case isl_dim_all: return dim->nparam + dim->n_in + dim->n_out;
253 default: return 0;
257 unsigned isl_space_dim(__isl_keep isl_space *dim, enum isl_dim_type type)
259 if (!dim)
260 return 0;
261 return n(dim, type);
264 unsigned isl_space_offset(__isl_keep isl_space *dim, enum isl_dim_type type)
266 if (!dim)
267 return 0;
268 return offset(dim, type);
271 static __isl_give isl_space *copy_ids(__isl_take isl_space *dst,
272 enum isl_dim_type dst_type, unsigned offset, __isl_keep isl_space *src,
273 enum isl_dim_type src_type)
275 int i;
276 isl_id *id;
278 if (!dst)
279 return NULL;
281 for (i = 0; i < n(src, src_type); ++i) {
282 id = get_id(src, src_type, i);
283 if (!id)
284 continue;
285 dst = set_id(dst, dst_type, offset + i, isl_id_copy(id));
286 if (!dst)
287 return NULL;
289 return dst;
292 __isl_take isl_space *isl_space_dup(__isl_keep isl_space *dim)
294 isl_space *dup;
295 if (!dim)
296 return NULL;
297 dup = isl_space_alloc(dim->ctx, dim->nparam, dim->n_in, dim->n_out);
298 if (!dup)
299 return NULL;
300 if (dim->tuple_id[0] &&
301 !(dup->tuple_id[0] = isl_id_copy(dim->tuple_id[0])))
302 goto error;
303 if (dim->tuple_id[1] &&
304 !(dup->tuple_id[1] = isl_id_copy(dim->tuple_id[1])))
305 goto error;
306 if (dim->nested[0] && !(dup->nested[0] = isl_space_copy(dim->nested[0])))
307 goto error;
308 if (dim->nested[1] && !(dup->nested[1] = isl_space_copy(dim->nested[1])))
309 goto error;
310 if (!dim->ids)
311 return dup;
312 dup = copy_ids(dup, isl_dim_param, 0, dim, isl_dim_param);
313 dup = copy_ids(dup, isl_dim_in, 0, dim, isl_dim_in);
314 dup = copy_ids(dup, isl_dim_out, 0, dim, isl_dim_out);
315 return dup;
316 error:
317 isl_space_free(dup);
318 return NULL;
321 __isl_give isl_space *isl_space_cow(__isl_take isl_space *dim)
323 if (!dim)
324 return NULL;
326 if (dim->ref == 1)
327 return dim;
328 dim->ref--;
329 return isl_space_dup(dim);
332 __isl_give isl_space *isl_space_copy(__isl_keep isl_space *dim)
334 if (!dim)
335 return NULL;
337 dim->ref++;
338 return dim;
341 __isl_null isl_space *isl_space_free(__isl_take isl_space *space)
343 int i;
345 if (!space)
346 return NULL;
348 if (--space->ref > 0)
349 return NULL;
351 isl_id_free(space->tuple_id[0]);
352 isl_id_free(space->tuple_id[1]);
354 isl_space_free(space->nested[0]);
355 isl_space_free(space->nested[1]);
357 for (i = 0; i < space->n_id; ++i)
358 isl_id_free(space->ids[i]);
359 free(space->ids);
360 isl_ctx_deref(space->ctx);
362 free(space);
364 return NULL;
367 /* Check if "s" is a valid dimension or tuple name.
368 * We currently only forbid names that look like a number.
370 * s is assumed to be non-NULL.
372 static int name_ok(isl_ctx *ctx, const char *s)
374 char *p;
375 long dummy;
377 dummy = strtol(s, &p, 0);
378 if (p != s)
379 isl_die(ctx, isl_error_invalid, "name looks like a number",
380 return 0);
382 return 1;
385 /* Is it possible for the given dimension type to have a tuple id?
387 static int space_can_have_id(__isl_keep isl_space *space,
388 enum isl_dim_type type)
390 if (!space)
391 return 0;
392 if (isl_space_is_params(space))
393 isl_die(space->ctx, isl_error_invalid,
394 "parameter spaces don't have tuple ids", return 0);
395 if (isl_space_is_set(space) && type != isl_dim_set)
396 isl_die(space->ctx, isl_error_invalid,
397 "set spaces can only have a set id", return 0);
398 if (type != isl_dim_in && type != isl_dim_out)
399 isl_die(space->ctx, isl_error_invalid,
400 "only input, output and set tuples can have ids",
401 return 0);
403 return 1;
406 /* Does the tuple have an id?
408 int isl_space_has_tuple_id(__isl_keep isl_space *dim, enum isl_dim_type type)
410 if (!space_can_have_id(dim, type))
411 return -1;
412 return dim->tuple_id[type - isl_dim_in] != NULL;
415 __isl_give isl_id *isl_space_get_tuple_id(__isl_keep isl_space *dim,
416 enum isl_dim_type type)
418 int has_id;
420 if (!dim)
421 return NULL;
422 has_id = isl_space_has_tuple_id(dim, type);
423 if (has_id < 0)
424 return NULL;
425 if (!has_id)
426 isl_die(dim->ctx, isl_error_invalid,
427 "tuple has no id", return NULL);
428 return isl_id_copy(dim->tuple_id[type - isl_dim_in]);
431 __isl_give isl_space *isl_space_set_tuple_id(__isl_take isl_space *dim,
432 enum isl_dim_type type, __isl_take isl_id *id)
434 dim = isl_space_cow(dim);
435 if (!dim || !id)
436 goto error;
437 if (type != isl_dim_in && type != isl_dim_out)
438 isl_die(dim->ctx, isl_error_invalid,
439 "only input, output and set tuples can have names",
440 goto error);
442 isl_id_free(dim->tuple_id[type - isl_dim_in]);
443 dim->tuple_id[type - isl_dim_in] = id;
445 return dim;
446 error:
447 isl_id_free(id);
448 isl_space_free(dim);
449 return NULL;
452 __isl_give isl_space *isl_space_reset_tuple_id(__isl_take isl_space *dim,
453 enum isl_dim_type type)
455 dim = isl_space_cow(dim);
456 if (!dim)
457 return NULL;
458 if (type != isl_dim_in && type != isl_dim_out)
459 isl_die(dim->ctx, isl_error_invalid,
460 "only input, output and set tuples can have names",
461 goto error);
463 isl_id_free(dim->tuple_id[type - isl_dim_in]);
464 dim->tuple_id[type - isl_dim_in] = NULL;
466 return dim;
467 error:
468 isl_space_free(dim);
469 return NULL;
472 /* Set the id of the given dimension of "space" to "id".
473 * If the dimension already has an id, then it is replaced.
474 * If the dimension is a parameter, then we need to change it
475 * in the nested spaces (if any) as well.
477 __isl_give isl_space *isl_space_set_dim_id(__isl_take isl_space *space,
478 enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
480 space = isl_space_cow(space);
481 if (!space || !id)
482 goto error;
484 if (type == isl_dim_param) {
485 int i;
487 for (i = 0; i < 2; ++i) {
488 if (!space->nested[i])
489 continue;
490 space->nested[i] =
491 isl_space_set_dim_id(space->nested[i],
492 type, pos, isl_id_copy(id));
493 if (!space->nested[i])
494 goto error;
498 isl_id_free(get_id(space, type, pos));
499 return set_id(space, type, pos, id);
500 error:
501 isl_id_free(id);
502 isl_space_free(space);
503 return NULL;
506 /* Reset the id of the given dimension of "space".
507 * If the dimension already has an id, then it is removed.
508 * If the dimension is a parameter, then we need to reset it
509 * in the nested spaces (if any) as well.
511 __isl_give isl_space *isl_space_reset_dim_id(__isl_take isl_space *space,
512 enum isl_dim_type type, unsigned pos)
514 space = isl_space_cow(space);
515 if (!space)
516 goto error;
518 if (type == isl_dim_param) {
519 int i;
521 for (i = 0; i < 2; ++i) {
522 if (!space->nested[i])
523 continue;
524 space->nested[i] =
525 isl_space_reset_dim_id(space->nested[i],
526 type, pos);
527 if (!space->nested[i])
528 goto error;
532 isl_id_free(get_id(space, type, pos));
533 return set_id(space, type, pos, NULL);
534 error:
535 isl_space_free(space);
536 return NULL;
539 int isl_space_has_dim_id(__isl_keep isl_space *dim,
540 enum isl_dim_type type, unsigned pos)
542 if (!dim)
543 return -1;
544 return get_id(dim, type, pos) != NULL;
547 __isl_give isl_id *isl_space_get_dim_id(__isl_keep isl_space *dim,
548 enum isl_dim_type type, unsigned pos)
550 if (!dim)
551 return NULL;
552 if (!get_id(dim, type, pos))
553 isl_die(dim->ctx, isl_error_invalid,
554 "dim has no id", return NULL);
555 return isl_id_copy(get_id(dim, type, pos));
558 __isl_give isl_space *isl_space_set_tuple_name(__isl_take isl_space *dim,
559 enum isl_dim_type type, const char *s)
561 isl_id *id;
563 if (!dim)
564 return NULL;
566 if (!s)
567 return isl_space_reset_tuple_id(dim, type);
569 if (!name_ok(dim->ctx, s))
570 goto error;
572 id = isl_id_alloc(dim->ctx, s, NULL);
573 return isl_space_set_tuple_id(dim, type, id);
574 error:
575 isl_space_free(dim);
576 return NULL;
579 /* Does the tuple have a name?
581 int isl_space_has_tuple_name(__isl_keep isl_space *space,
582 enum isl_dim_type type)
584 isl_id *id;
586 if (!space_can_have_id(space, type))
587 return -1;
588 id = space->tuple_id[type - isl_dim_in];
589 return id && id->name;
592 const char *isl_space_get_tuple_name(__isl_keep isl_space *dim,
593 enum isl_dim_type type)
595 isl_id *id;
596 if (!dim)
597 return NULL;
598 if (type != isl_dim_in && type != isl_dim_out)
599 return NULL;
600 id = dim->tuple_id[type - isl_dim_in];
601 return id ? id->name : NULL;
604 __isl_give isl_space *isl_space_set_dim_name(__isl_take isl_space *dim,
605 enum isl_dim_type type, unsigned pos,
606 const char *s)
608 isl_id *id;
610 if (!dim)
611 return NULL;
612 if (!s)
613 return isl_space_reset_dim_id(dim, type, pos);
614 if (!name_ok(dim->ctx, s))
615 goto error;
616 id = isl_id_alloc(dim->ctx, s, NULL);
617 return isl_space_set_dim_id(dim, type, pos, id);
618 error:
619 isl_space_free(dim);
620 return NULL;
623 /* Does the given dimension have a name?
625 int isl_space_has_dim_name(__isl_keep isl_space *space,
626 enum isl_dim_type type, unsigned pos)
628 isl_id *id;
630 if (!space)
631 return -1;
632 id = get_id(space, type, pos);
633 return id && id->name;
636 __isl_keep const char *isl_space_get_dim_name(__isl_keep isl_space *dim,
637 enum isl_dim_type type, unsigned pos)
639 isl_id *id = get_id(dim, type, pos);
640 return id ? id->name : NULL;
643 int isl_space_find_dim_by_id(__isl_keep isl_space *dim, enum isl_dim_type type,
644 __isl_keep isl_id *id)
646 int i;
647 int offset;
648 int n;
650 if (!dim || !id)
651 return -1;
653 offset = isl_space_offset(dim, type);
654 n = isl_space_dim(dim, type);
655 for (i = 0; i < n && offset + i < dim->n_id; ++i)
656 if (dim->ids[offset + i] == id)
657 return i;
659 return -1;
662 int isl_space_find_dim_by_name(__isl_keep isl_space *space,
663 enum isl_dim_type type, const char *name)
665 int i;
666 int offset;
667 int n;
669 if (!space || !name)
670 return -1;
672 offset = isl_space_offset(space, type);
673 n = isl_space_dim(space, type);
674 for (i = 0; i < n && offset + i < space->n_id; ++i)
675 if (space->ids[offset + i]->name &&
676 !strcmp(space->ids[offset + i]->name, name))
677 return i;
679 return -1;
682 /* Reset the user pointer on all identifiers of parameters and tuples
683 * of "space".
685 __isl_give isl_space *isl_space_reset_user(__isl_take isl_space *space)
687 int i;
688 isl_ctx *ctx;
689 isl_id *id;
690 const char *name;
692 if (!space)
693 return NULL;
695 ctx = isl_space_get_ctx(space);
697 for (i = 0; i < space->nparam && i < space->n_id; ++i) {
698 if (!isl_id_get_user(space->ids[i]))
699 continue;
700 space = isl_space_cow(space);
701 if (!space)
702 return NULL;
703 name = isl_id_get_name(space->ids[i]);
704 id = isl_id_alloc(ctx, name, NULL);
705 isl_id_free(space->ids[i]);
706 space->ids[i] = id;
707 if (!id)
708 return isl_space_free(space);
711 for (i = 0; i < 2; ++i) {
712 if (!space->tuple_id[i])
713 continue;
714 if (!isl_id_get_user(space->tuple_id[i]))
715 continue;
716 space = isl_space_cow(space);
717 if (!space)
718 return NULL;
719 name = isl_id_get_name(space->tuple_id[i]);
720 id = isl_id_alloc(ctx, name, NULL);
721 isl_id_free(space->tuple_id[i]);
722 space->tuple_id[i] = id;
723 if (!id)
724 return isl_space_free(space);
727 for (i = 0; i < 2; ++i) {
728 if (!space->nested[i])
729 continue;
730 space = isl_space_cow(space);
731 if (!space)
732 return NULL;
733 space->nested[i] = isl_space_reset_user(space->nested[i]);
734 if (!space->nested[i])
735 return isl_space_free(space);
738 return space;
741 static __isl_keep isl_id *tuple_id(__isl_keep isl_space *dim,
742 enum isl_dim_type type)
744 if (!dim)
745 return NULL;
746 if (type == isl_dim_in)
747 return dim->tuple_id[0];
748 if (type == isl_dim_out)
749 return dim->tuple_id[1];
750 return NULL;
753 static __isl_keep isl_space *nested(__isl_keep isl_space *dim,
754 enum isl_dim_type type)
756 if (!dim)
757 return NULL;
758 if (type == isl_dim_in)
759 return dim->nested[0];
760 if (type == isl_dim_out)
761 return dim->nested[1];
762 return NULL;
765 /* Are the two spaces the same, apart from positions and names of parameters?
767 static int isl_space_has_equal_tuples(__isl_keep isl_space *space1,
768 __isl_keep isl_space *space2)
770 if (!space1 || !space2)
771 return -1;
772 if (space1 == space2)
773 return 1;
774 return isl_space_tuple_is_equal(space1, isl_dim_in,
775 space2, isl_dim_in) &&
776 isl_space_tuple_is_equal(space1, isl_dim_out,
777 space2, isl_dim_out);
780 /* Check if the tuple of type "type1" of "space1" is the same as
781 * the tuple of type "type2" of "space2".
783 * That is, check if the tuples have the same identifier, the same dimension
784 * and the same internal structure.
785 * The identifiers of the dimensions inside the tuples do not affect the result.
787 * Note that this function only checks the tuples themselves.
788 * If nested tuples are involved, then we need to be careful not
789 * to have result affected by possibly differing parameters
790 * in those nested tuples.
792 int isl_space_tuple_is_equal(__isl_keep isl_space *space1,
793 enum isl_dim_type type1, __isl_keep isl_space *space2,
794 enum isl_dim_type type2)
796 isl_id *id1, *id2;
797 isl_space *nested1, *nested2;
799 if (!space1 || !space2)
800 return -1;
802 if (space1 == space2 && type1 == type2)
803 return 1;
805 if (n(space1, type1) != n(space2, type2))
806 return 0;
807 id1 = tuple_id(space1, type1);
808 id2 = tuple_id(space2, type2);
809 if (!id1 ^ !id2)
810 return 0;
811 if (id1 && id1 != id2)
812 return 0;
813 nested1 = nested(space1, type1);
814 nested2 = nested(space2, type2);
815 if (!nested1 ^ !nested2)
816 return 0;
817 if (nested1 && !isl_space_has_equal_tuples(nested1, nested2))
818 return 0;
819 return 1;
822 /* This is the old, undocumented, name for isl_space_tuple_is_equal.
823 * It will be removed at some point.
825 int isl_space_tuple_match(__isl_keep isl_space *space1, enum isl_dim_type type1,
826 __isl_keep isl_space *space2, enum isl_dim_type type2)
828 return isl_space_tuple_is_equal(space1, type1, space2, type2);
831 static int match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
832 __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
834 int i;
836 if (dim1 == dim2 && dim1_type == dim2_type)
837 return 1;
839 if (!isl_space_tuple_is_equal(dim1, dim1_type, dim2, dim2_type))
840 return 0;
842 if (!dim1->ids && !dim2->ids)
843 return 1;
845 for (i = 0; i < n(dim1, dim1_type); ++i) {
846 if (get_id(dim1, dim1_type, i) != get_id(dim2, dim2_type, i))
847 return 0;
849 return 1;
852 int isl_space_match(__isl_keep isl_space *dim1, enum isl_dim_type dim1_type,
853 __isl_keep isl_space *dim2, enum isl_dim_type dim2_type)
855 if (!dim1 || !dim2)
856 return -1;
858 return match(dim1, dim1_type, dim2, dim2_type);
861 static void get_ids(__isl_keep isl_space *dim, enum isl_dim_type type,
862 unsigned first, unsigned n, __isl_keep isl_id **ids)
864 int i;
866 for (i = 0; i < n ; ++i)
867 ids[i] = get_id(dim, type, first + i);
870 __isl_give isl_space *isl_space_extend(__isl_take isl_space *dim,
871 unsigned nparam, unsigned n_in, unsigned n_out)
873 isl_id **ids = NULL;
875 if (!dim)
876 return NULL;
877 if (dim->nparam == nparam && dim->n_in == n_in && dim->n_out == n_out)
878 return dim;
880 isl_assert(dim->ctx, dim->nparam <= nparam, goto error);
881 isl_assert(dim->ctx, dim->n_in <= n_in, goto error);
882 isl_assert(dim->ctx, dim->n_out <= n_out, goto error);
884 dim = isl_space_cow(dim);
885 if (!dim)
886 goto error;
888 if (dim->ids) {
889 ids = isl_calloc_array(dim->ctx, isl_id *,
890 nparam + n_in + n_out);
891 if (!ids)
892 goto error;
893 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
894 get_ids(dim, isl_dim_in, 0, dim->n_in, ids + nparam);
895 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + nparam + n_in);
896 free(dim->ids);
897 dim->ids = ids;
898 dim->n_id = nparam + n_in + n_out;
900 dim->nparam = nparam;
901 dim->n_in = n_in;
902 dim->n_out = n_out;
904 return dim;
905 error:
906 free(ids);
907 isl_space_free(dim);
908 return NULL;
911 __isl_give isl_space *isl_space_add_dims(__isl_take isl_space *dim,
912 enum isl_dim_type type, unsigned n)
914 if (!dim)
915 return NULL;
916 dim = isl_space_reset(dim, type);
917 switch (type) {
918 case isl_dim_param:
919 dim = isl_space_extend(dim,
920 dim->nparam + n, dim->n_in, dim->n_out);
921 if (dim && dim->nested[0] &&
922 !(dim->nested[0] = isl_space_add_dims(dim->nested[0],
923 isl_dim_param, n)))
924 goto error;
925 if (dim && dim->nested[1] &&
926 !(dim->nested[1] = isl_space_add_dims(dim->nested[1],
927 isl_dim_param, n)))
928 goto error;
929 return dim;
930 case isl_dim_in:
931 return isl_space_extend(dim,
932 dim->nparam, dim->n_in + n, dim->n_out);
933 case isl_dim_out:
934 return isl_space_extend(dim,
935 dim->nparam, dim->n_in, dim->n_out + n);
936 default:
937 isl_die(dim->ctx, isl_error_invalid,
938 "cannot add dimensions of specified type", goto error);
940 error:
941 isl_space_free(dim);
942 return NULL;
945 static int valid_dim_type(enum isl_dim_type type)
947 switch (type) {
948 case isl_dim_param:
949 case isl_dim_in:
950 case isl_dim_out:
951 return 1;
952 default:
953 return 0;
957 /* Insert "n" dimensions of type "type" at position "pos".
958 * If we are inserting parameters, then they are also inserted in
959 * any nested spaces.
961 __isl_give isl_space *isl_space_insert_dims(__isl_take isl_space *dim,
962 enum isl_dim_type type, unsigned pos, unsigned n)
964 isl_id **ids = NULL;
966 if (!dim)
967 return NULL;
968 if (n == 0)
969 return isl_space_reset(dim, type);
971 if (!valid_dim_type(type))
972 isl_die(dim->ctx, isl_error_invalid,
973 "cannot insert dimensions of specified type",
974 goto error);
976 isl_assert(dim->ctx, pos <= isl_space_dim(dim, type), goto error);
978 dim = isl_space_cow(dim);
979 if (!dim)
980 return NULL;
982 if (dim->ids) {
983 enum isl_dim_type t, o = isl_dim_param;
984 int off;
985 int s[3];
986 ids = isl_calloc_array(dim->ctx, isl_id *,
987 dim->nparam + dim->n_in + dim->n_out + n);
988 if (!ids)
989 goto error;
990 off = 0;
991 s[isl_dim_param - o] = dim->nparam;
992 s[isl_dim_in - o] = dim->n_in;
993 s[isl_dim_out - o] = dim->n_out;
994 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
995 if (t != type) {
996 get_ids(dim, t, 0, s[t - o], ids + off);
997 off += s[t - o];
998 } else {
999 get_ids(dim, t, 0, pos, ids + off);
1000 off += pos + n;
1001 get_ids(dim, t, pos, s[t - o] - pos, ids + off);
1002 off += s[t - o] - pos;
1005 free(dim->ids);
1006 dim->ids = ids;
1007 dim->n_id = dim->nparam + dim->n_in + dim->n_out + n;
1009 switch (type) {
1010 case isl_dim_param: dim->nparam += n; break;
1011 case isl_dim_in: dim->n_in += n; break;
1012 case isl_dim_out: dim->n_out += n; break;
1013 default: ;
1015 dim = isl_space_reset(dim, type);
1017 if (type == isl_dim_param) {
1018 if (dim && dim->nested[0] &&
1019 !(dim->nested[0] = isl_space_insert_dims(dim->nested[0],
1020 isl_dim_param, pos, n)))
1021 goto error;
1022 if (dim && dim->nested[1] &&
1023 !(dim->nested[1] = isl_space_insert_dims(dim->nested[1],
1024 isl_dim_param, pos, n)))
1025 goto error;
1028 return dim;
1029 error:
1030 isl_space_free(dim);
1031 return NULL;
1034 __isl_give isl_space *isl_space_move_dims(__isl_take isl_space *dim,
1035 enum isl_dim_type dst_type, unsigned dst_pos,
1036 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1038 int i;
1040 if (!dim)
1041 return NULL;
1042 if (n == 0) {
1043 dim = isl_space_reset(dim, src_type);
1044 return isl_space_reset(dim, dst_type);
1047 isl_assert(dim->ctx, src_pos + n <= isl_space_dim(dim, src_type),
1048 goto error);
1050 if (dst_type == src_type && dst_pos == src_pos)
1051 return dim;
1053 isl_assert(dim->ctx, dst_type != src_type, goto error);
1055 dim = isl_space_reset(dim, src_type);
1056 dim = isl_space_reset(dim, dst_type);
1058 dim = isl_space_cow(dim);
1059 if (!dim)
1060 return NULL;
1062 if (dim->ids) {
1063 isl_id **ids;
1064 enum isl_dim_type t, o = isl_dim_param;
1065 int off;
1066 int s[3];
1067 ids = isl_calloc_array(dim->ctx, isl_id *,
1068 dim->nparam + dim->n_in + dim->n_out);
1069 if (!ids)
1070 goto error;
1071 off = 0;
1072 s[isl_dim_param - o] = dim->nparam;
1073 s[isl_dim_in - o] = dim->n_in;
1074 s[isl_dim_out - o] = dim->n_out;
1075 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
1076 if (t == dst_type) {
1077 get_ids(dim, t, 0, dst_pos, ids + off);
1078 off += dst_pos;
1079 get_ids(dim, src_type, src_pos, n, ids + off);
1080 off += n;
1081 get_ids(dim, t, dst_pos, s[t - o] - dst_pos,
1082 ids + off);
1083 off += s[t - o] - dst_pos;
1084 } else if (t == src_type) {
1085 get_ids(dim, t, 0, src_pos, ids + off);
1086 off += src_pos;
1087 get_ids(dim, t, src_pos + n,
1088 s[t - o] - src_pos - n, ids + off);
1089 off += s[t - o] - src_pos - n;
1090 } else {
1091 get_ids(dim, t, 0, s[t - o], ids + off);
1092 off += s[t - o];
1095 free(dim->ids);
1096 dim->ids = ids;
1097 dim->n_id = dim->nparam + dim->n_in + dim->n_out;
1100 switch (dst_type) {
1101 case isl_dim_param: dim->nparam += n; break;
1102 case isl_dim_in: dim->n_in += n; break;
1103 case isl_dim_out: dim->n_out += n; break;
1104 default: ;
1107 switch (src_type) {
1108 case isl_dim_param: dim->nparam -= n; break;
1109 case isl_dim_in: dim->n_in -= n; break;
1110 case isl_dim_out: dim->n_out -= n; break;
1111 default: ;
1114 if (dst_type != isl_dim_param && src_type != isl_dim_param)
1115 return dim;
1117 for (i = 0; i < 2; ++i) {
1118 if (!dim->nested[i])
1119 continue;
1120 dim->nested[i] = isl_space_replace(dim->nested[i],
1121 isl_dim_param, dim);
1122 if (!dim->nested[i])
1123 goto error;
1126 return dim;
1127 error:
1128 isl_space_free(dim);
1129 return NULL;
1132 __isl_give isl_space *isl_space_join(__isl_take isl_space *left,
1133 __isl_take isl_space *right)
1135 isl_space *dim;
1137 if (!left || !right)
1138 goto error;
1140 isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1141 goto error);
1142 isl_assert(left->ctx,
1143 isl_space_tuple_is_equal(left, isl_dim_out, right, isl_dim_in),
1144 goto error);
1146 dim = isl_space_alloc(left->ctx, left->nparam, left->n_in, right->n_out);
1147 if (!dim)
1148 goto error;
1150 dim = copy_ids(dim, isl_dim_param, 0, left, isl_dim_param);
1151 dim = copy_ids(dim, isl_dim_in, 0, left, isl_dim_in);
1152 dim = copy_ids(dim, isl_dim_out, 0, right, isl_dim_out);
1154 if (dim && left->tuple_id[0] &&
1155 !(dim->tuple_id[0] = isl_id_copy(left->tuple_id[0])))
1156 goto error;
1157 if (dim && right->tuple_id[1] &&
1158 !(dim->tuple_id[1] = isl_id_copy(right->tuple_id[1])))
1159 goto error;
1160 if (dim && left->nested[0] &&
1161 !(dim->nested[0] = isl_space_copy(left->nested[0])))
1162 goto error;
1163 if (dim && right->nested[1] &&
1164 !(dim->nested[1] = isl_space_copy(right->nested[1])))
1165 goto error;
1167 isl_space_free(left);
1168 isl_space_free(right);
1170 return dim;
1171 error:
1172 isl_space_free(left);
1173 isl_space_free(right);
1174 return NULL;
1177 /* Given two map spaces { A -> C } and { B -> D }, construct the space
1178 * { [A -> B] -> [C -> D] }.
1179 * Given two set spaces { A } and { B }, construct the space { [A -> B] }.
1181 __isl_give isl_space *isl_space_product(__isl_take isl_space *left,
1182 __isl_take isl_space *right)
1184 isl_space *dom1, *dom2, *nest1, *nest2;
1185 int is_set;
1187 if (!left || !right)
1188 goto error;
1190 is_set = isl_space_is_set(left);
1191 if (is_set != isl_space_is_set(right))
1192 isl_die(isl_space_get_ctx(left), isl_error_invalid,
1193 "expecting either two set spaces or two map spaces",
1194 goto error);
1195 if (is_set)
1196 return isl_space_range_product(left, right);
1198 isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1199 goto error);
1201 dom1 = isl_space_domain(isl_space_copy(left));
1202 dom2 = isl_space_domain(isl_space_copy(right));
1203 nest1 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1205 dom1 = isl_space_range(left);
1206 dom2 = isl_space_range(right);
1207 nest2 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1209 return isl_space_join(isl_space_reverse(nest1), nest2);
1210 error:
1211 isl_space_free(left);
1212 isl_space_free(right);
1213 return NULL;
1216 /* Given two spaces { A -> C } and { B -> C }, construct the space
1217 * { [A -> B] -> C }
1219 __isl_give isl_space *isl_space_domain_product(__isl_take isl_space *left,
1220 __isl_take isl_space *right)
1222 isl_space *ran, *dom1, *dom2, *nest;
1224 if (!left || !right)
1225 goto error;
1227 if (!match(left, isl_dim_param, right, isl_dim_param))
1228 isl_die(left->ctx, isl_error_invalid,
1229 "parameters need to match", goto error);
1230 if (!isl_space_tuple_is_equal(left, isl_dim_out, right, isl_dim_out))
1231 isl_die(left->ctx, isl_error_invalid,
1232 "ranges need to match", goto error);
1234 ran = isl_space_range(isl_space_copy(left));
1236 dom1 = isl_space_domain(left);
1237 dom2 = isl_space_domain(right);
1238 nest = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1240 return isl_space_join(isl_space_reverse(nest), ran);
1241 error:
1242 isl_space_free(left);
1243 isl_space_free(right);
1244 return NULL;
1247 __isl_give isl_space *isl_space_range_product(__isl_take isl_space *left,
1248 __isl_take isl_space *right)
1250 isl_space *dom, *ran1, *ran2, *nest;
1252 if (!left || !right)
1253 goto error;
1255 isl_assert(left->ctx, match(left, isl_dim_param, right, isl_dim_param),
1256 goto error);
1257 if (!isl_space_tuple_is_equal(left, isl_dim_in, right, isl_dim_in))
1258 isl_die(left->ctx, isl_error_invalid,
1259 "domains need to match", goto error);
1261 dom = isl_space_domain(isl_space_copy(left));
1263 ran1 = isl_space_range(left);
1264 ran2 = isl_space_range(right);
1265 nest = isl_space_wrap(isl_space_join(isl_space_reverse(ran1), ran2));
1267 return isl_space_join(isl_space_reverse(dom), nest);
1268 error:
1269 isl_space_free(left);
1270 isl_space_free(right);
1271 return NULL;
1274 /* Given a space of the form [A -> B] -> [C -> D], return the space B -> D.
1276 __isl_give isl_space *isl_space_factor_range(__isl_take isl_space *space)
1278 space = isl_space_domain_factor_range(space);
1279 space = isl_space_range_factor_range(space);
1280 return space;
1283 /* Given a space of the form [A -> B] -> C, return the space A -> C.
1285 __isl_give isl_space *isl_space_domain_factor_domain(
1286 __isl_take isl_space *space)
1288 isl_space *nested;
1289 isl_space *domain;
1291 if (!space)
1292 return NULL;
1293 if (!isl_space_domain_is_wrapping(space))
1294 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1295 "domain not a product", return isl_space_free(space));
1297 nested = space->nested[0];
1298 domain = isl_space_copy(space);
1299 domain = isl_space_drop_dims(space, isl_dim_in,
1300 nested->n_in, nested->n_out);
1301 if (!domain)
1302 return isl_space_free(space);
1303 if (nested->tuple_id[0]) {
1304 domain->tuple_id[0] = isl_id_copy(nested->tuple_id[0]);
1305 if (!domain->tuple_id[0])
1306 goto error;
1308 if (nested->nested[0]) {
1309 domain->nested[0] = isl_space_copy(nested->nested[0]);
1310 if (!domain->nested[0])
1311 goto error;
1314 isl_space_free(space);
1315 return domain;
1316 error:
1317 isl_space_free(space);
1318 isl_space_free(domain);
1319 return NULL;
1322 /* Given a space of the form [A -> B] -> C, return the space B -> C.
1324 __isl_give isl_space *isl_space_domain_factor_range(
1325 __isl_take isl_space *space)
1327 isl_space *nested;
1328 isl_space *range;
1330 if (!space)
1331 return NULL;
1332 if (!isl_space_domain_is_wrapping(space))
1333 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1334 "domain not a product", return isl_space_free(space));
1336 nested = space->nested[0];
1337 range = isl_space_copy(space);
1338 range = isl_space_drop_dims(space, isl_dim_in, 0, nested->n_in);
1339 if (!range)
1340 return isl_space_free(space);
1341 if (nested->tuple_id[1]) {
1342 range->tuple_id[0] = isl_id_copy(nested->tuple_id[1]);
1343 if (!range->tuple_id[0])
1344 goto error;
1346 if (nested->nested[1]) {
1347 range->nested[0] = isl_space_copy(nested->nested[1]);
1348 if (!range->nested[0])
1349 goto error;
1352 isl_space_free(space);
1353 return range;
1354 error:
1355 isl_space_free(space);
1356 isl_space_free(range);
1357 return NULL;
1360 /* Given a space of the form A -> [B -> C], return the space A -> B.
1362 __isl_give isl_space *isl_space_range_factor_domain(
1363 __isl_take isl_space *space)
1365 isl_space *nested;
1366 isl_space *domain;
1368 if (!space)
1369 return NULL;
1370 if (!isl_space_range_is_wrapping(space))
1371 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1372 "range not a product", return isl_space_free(space));
1374 nested = space->nested[1];
1375 domain = isl_space_copy(space);
1376 domain = isl_space_drop_dims(space, isl_dim_out,
1377 nested->n_in, nested->n_out);
1378 if (!domain)
1379 return isl_space_free(space);
1380 if (nested->tuple_id[0]) {
1381 domain->tuple_id[1] = isl_id_copy(nested->tuple_id[0]);
1382 if (!domain->tuple_id[1])
1383 goto error;
1385 if (nested->nested[0]) {
1386 domain->nested[1] = isl_space_copy(nested->nested[0]);
1387 if (!domain->nested[1])
1388 goto error;
1391 isl_space_free(space);
1392 return domain;
1393 error:
1394 isl_space_free(space);
1395 isl_space_free(domain);
1396 return NULL;
1399 /* Given a space of the form A -> [B -> C], return the space A -> C.
1401 __isl_give isl_space *isl_space_range_factor_range(
1402 __isl_take isl_space *space)
1404 isl_space *nested;
1405 isl_space *range;
1407 if (!space)
1408 return NULL;
1409 if (!isl_space_range_is_wrapping(space))
1410 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1411 "range not a product", return isl_space_free(space));
1413 nested = space->nested[1];
1414 range = isl_space_copy(space);
1415 range = isl_space_drop_dims(space, isl_dim_out, 0, nested->n_in);
1416 if (!range)
1417 return isl_space_free(space);
1418 if (nested->tuple_id[1]) {
1419 range->tuple_id[1] = isl_id_copy(nested->tuple_id[1]);
1420 if (!range->tuple_id[1])
1421 goto error;
1423 if (nested->nested[1]) {
1424 range->nested[1] = isl_space_copy(nested->nested[1]);
1425 if (!range->nested[1])
1426 goto error;
1429 isl_space_free(space);
1430 return range;
1431 error:
1432 isl_space_free(space);
1433 isl_space_free(range);
1434 return NULL;
1437 __isl_give isl_space *isl_space_map_from_set(__isl_take isl_space *dim)
1439 isl_ctx *ctx;
1440 isl_id **ids = NULL;
1442 if (!dim)
1443 return NULL;
1444 ctx = isl_space_get_ctx(dim);
1445 if (!isl_space_is_set(dim))
1446 isl_die(ctx, isl_error_invalid, "not a set space", goto error);
1447 dim = isl_space_cow(dim);
1448 if (!dim)
1449 return NULL;
1450 if (dim->ids) {
1451 ids = isl_calloc_array(dim->ctx, isl_id *,
1452 dim->nparam + dim->n_out + dim->n_out);
1453 if (!ids)
1454 goto error;
1455 get_ids(dim, isl_dim_param, 0, dim->nparam, ids);
1456 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->nparam);
1458 dim->n_in = dim->n_out;
1459 if (ids) {
1460 free(dim->ids);
1461 dim->ids = ids;
1462 dim->n_id = dim->nparam + dim->n_out + dim->n_out;
1463 dim = copy_ids(dim, isl_dim_out, 0, dim, isl_dim_in);
1465 isl_id_free(dim->tuple_id[0]);
1466 dim->tuple_id[0] = isl_id_copy(dim->tuple_id[1]);
1467 isl_space_free(dim->nested[0]);
1468 dim->nested[0] = isl_space_copy(dim->nested[1]);
1469 return dim;
1470 error:
1471 isl_space_free(dim);
1472 return NULL;
1475 __isl_give isl_space *isl_space_map_from_domain_and_range(
1476 __isl_take isl_space *domain, __isl_take isl_space *range)
1478 if (!domain || !range)
1479 goto error;
1480 if (!isl_space_is_set(domain))
1481 isl_die(isl_space_get_ctx(domain), isl_error_invalid,
1482 "domain is not a set space", goto error);
1483 if (!isl_space_is_set(range))
1484 isl_die(isl_space_get_ctx(range), isl_error_invalid,
1485 "range is not a set space", goto error);
1486 return isl_space_join(isl_space_reverse(domain), range);
1487 error:
1488 isl_space_free(domain);
1489 isl_space_free(range);
1490 return NULL;
1493 static __isl_give isl_space *set_ids(__isl_take isl_space *dim,
1494 enum isl_dim_type type,
1495 unsigned first, unsigned n, __isl_take isl_id **ids)
1497 int i;
1499 for (i = 0; i < n ; ++i)
1500 dim = set_id(dim, type, first + i, ids[i]);
1502 return dim;
1505 __isl_give isl_space *isl_space_reverse(__isl_take isl_space *dim)
1507 unsigned t;
1508 isl_space *nested;
1509 isl_id **ids = NULL;
1510 isl_id *id;
1512 if (!dim)
1513 return NULL;
1514 if (match(dim, isl_dim_in, dim, isl_dim_out))
1515 return dim;
1517 dim = isl_space_cow(dim);
1518 if (!dim)
1519 return NULL;
1521 id = dim->tuple_id[0];
1522 dim->tuple_id[0] = dim->tuple_id[1];
1523 dim->tuple_id[1] = id;
1525 nested = dim->nested[0];
1526 dim->nested[0] = dim->nested[1];
1527 dim->nested[1] = nested;
1529 if (dim->ids) {
1530 int n_id = dim->n_in + dim->n_out;
1531 ids = isl_alloc_array(dim->ctx, isl_id *, n_id);
1532 if (n_id && !ids)
1533 goto error;
1534 get_ids(dim, isl_dim_in, 0, dim->n_in, ids);
1535 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->n_in);
1538 t = dim->n_in;
1539 dim->n_in = dim->n_out;
1540 dim->n_out = t;
1542 if (dim->ids) {
1543 dim = set_ids(dim, isl_dim_out, 0, dim->n_out, ids);
1544 dim = set_ids(dim, isl_dim_in, 0, dim->n_in, ids + dim->n_out);
1545 free(ids);
1548 return dim;
1549 error:
1550 free(ids);
1551 isl_space_free(dim);
1552 return NULL;
1555 __isl_give isl_space *isl_space_drop_dims(__isl_take isl_space *dim,
1556 enum isl_dim_type type, unsigned first, unsigned num)
1558 int i;
1560 if (!dim)
1561 return NULL;
1563 if (num == 0)
1564 return isl_space_reset(dim, type);
1566 if (!valid_dim_type(type))
1567 isl_die(dim->ctx, isl_error_invalid,
1568 "cannot drop dimensions of specified type", goto error);
1570 if (first + num > n(dim, type) || first + num < first)
1571 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1572 "index out of bounds", return isl_space_free(dim));
1573 dim = isl_space_cow(dim);
1574 if (!dim)
1575 goto error;
1576 if (dim->ids) {
1577 dim = extend_ids(dim);
1578 if (!dim)
1579 goto error;
1580 for (i = 0; i < num; ++i)
1581 isl_id_free(get_id(dim, type, first + i));
1582 for (i = first+num; i < n(dim, type); ++i)
1583 set_id(dim, type, i - num, get_id(dim, type, i));
1584 switch (type) {
1585 case isl_dim_param:
1586 get_ids(dim, isl_dim_in, 0, dim->n_in,
1587 dim->ids + offset(dim, isl_dim_in) - num);
1588 case isl_dim_in:
1589 get_ids(dim, isl_dim_out, 0, dim->n_out,
1590 dim->ids + offset(dim, isl_dim_out) - num);
1591 default:
1594 dim->n_id -= num;
1596 switch (type) {
1597 case isl_dim_param: dim->nparam -= num; break;
1598 case isl_dim_in: dim->n_in -= num; break;
1599 case isl_dim_out: dim->n_out -= num; break;
1600 default: ;
1602 dim = isl_space_reset(dim, type);
1603 if (type == isl_dim_param) {
1604 if (dim && dim->nested[0] &&
1605 !(dim->nested[0] = isl_space_drop_dims(dim->nested[0],
1606 isl_dim_param, first, num)))
1607 goto error;
1608 if (dim && dim->nested[1] &&
1609 !(dim->nested[1] = isl_space_drop_dims(dim->nested[1],
1610 isl_dim_param, first, num)))
1611 goto error;
1613 return dim;
1614 error:
1615 isl_space_free(dim);
1616 return NULL;
1619 __isl_give isl_space *isl_space_drop_inputs(__isl_take isl_space *dim,
1620 unsigned first, unsigned n)
1622 if (!dim)
1623 return NULL;
1624 return isl_space_drop_dims(dim, isl_dim_in, first, n);
1627 __isl_give isl_space *isl_space_drop_outputs(__isl_take isl_space *dim,
1628 unsigned first, unsigned n)
1630 if (!dim)
1631 return NULL;
1632 return isl_space_drop_dims(dim, isl_dim_out, first, n);
1635 __isl_give isl_space *isl_space_domain(__isl_take isl_space *dim)
1637 if (!dim)
1638 return NULL;
1639 dim = isl_space_drop_outputs(dim, 0, dim->n_out);
1640 dim = isl_space_reverse(dim);
1641 dim = mark_as_set(dim);
1642 return dim;
1645 __isl_give isl_space *isl_space_from_domain(__isl_take isl_space *dim)
1647 if (!dim)
1648 return NULL;
1649 if (!isl_space_is_set(dim))
1650 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1651 "not a set space", goto error);
1652 dim = isl_space_reverse(dim);
1653 dim = isl_space_reset(dim, isl_dim_out);
1654 return dim;
1655 error:
1656 isl_space_free(dim);
1657 return NULL;
1660 __isl_give isl_space *isl_space_range(__isl_take isl_space *dim)
1662 if (!dim)
1663 return NULL;
1664 dim = isl_space_drop_inputs(dim, 0, dim->n_in);
1665 dim = mark_as_set(dim);
1666 return dim;
1669 __isl_give isl_space *isl_space_from_range(__isl_take isl_space *dim)
1671 if (!dim)
1672 return NULL;
1673 if (!isl_space_is_set(dim))
1674 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1675 "not a set space", goto error);
1676 return isl_space_reset(dim, isl_dim_in);
1677 error:
1678 isl_space_free(dim);
1679 return NULL;
1682 /* Given a map space A -> B, return the map space [A -> B] -> A.
1684 __isl_give isl_space *isl_space_domain_map(__isl_take isl_space *space)
1686 isl_space *domain;
1688 domain = isl_space_from_range(isl_space_domain(isl_space_copy(space)));
1689 space = isl_space_from_domain(isl_space_wrap(space));
1690 space = isl_space_join(space, domain);
1692 return space;
1695 /* Given a map space A -> B, return the map space [A -> B] -> B.
1697 __isl_give isl_space *isl_space_range_map(__isl_take isl_space *space)
1699 isl_space *range;
1701 range = isl_space_from_range(isl_space_range(isl_space_copy(space)));
1702 space = isl_space_from_domain(isl_space_wrap(space));
1703 space = isl_space_join(space, range);
1705 return space;
1708 __isl_give isl_space *isl_space_params(__isl_take isl_space *space)
1710 if (isl_space_is_params(space))
1711 return space;
1712 space = isl_space_drop_dims(space,
1713 isl_dim_in, 0, isl_space_dim(space, isl_dim_in));
1714 space = isl_space_drop_dims(space,
1715 isl_dim_out, 0, isl_space_dim(space, isl_dim_out));
1716 space = mark_as_params(space);
1717 return space;
1720 __isl_give isl_space *isl_space_set_from_params(__isl_take isl_space *space)
1722 if (!space)
1723 return NULL;
1724 if (!isl_space_is_params(space))
1725 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1726 "not a parameter space", goto error);
1727 return isl_space_reset(space, isl_dim_set);
1728 error:
1729 isl_space_free(space);
1730 return NULL;
1733 __isl_give isl_space *isl_space_as_set_space(__isl_take isl_space *dim)
1735 dim = isl_space_cow(dim);
1736 if (!dim)
1737 return NULL;
1739 dim->n_out += dim->n_in;
1740 dim->n_in = 0;
1741 dim = isl_space_reset(dim, isl_dim_in);
1742 dim = isl_space_reset(dim, isl_dim_out);
1744 return dim;
1747 __isl_give isl_space *isl_space_underlying(__isl_take isl_space *dim,
1748 unsigned n_div)
1750 int i;
1752 if (!dim)
1753 return NULL;
1754 if (n_div == 0 &&
1755 dim->nparam == 0 && dim->n_in == 0 && dim->n_id == 0)
1756 return isl_space_reset(isl_space_reset(dim, isl_dim_in), isl_dim_out);
1757 dim = isl_space_cow(dim);
1758 if (!dim)
1759 return NULL;
1760 dim->n_out += dim->nparam + dim->n_in + n_div;
1761 dim->nparam = 0;
1762 dim->n_in = 0;
1764 for (i = 0; i < dim->n_id; ++i)
1765 isl_id_free(get_id(dim, isl_dim_out, i));
1766 dim->n_id = 0;
1767 dim = isl_space_reset(dim, isl_dim_in);
1768 dim = isl_space_reset(dim, isl_dim_out);
1770 return dim;
1773 /* Are the two spaces the same, including positions and names of parameters?
1775 int isl_space_is_equal(__isl_keep isl_space *dim1, __isl_keep isl_space *dim2)
1777 if (!dim1 || !dim2)
1778 return -1;
1779 if (dim1 == dim2)
1780 return 1;
1781 return match(dim1, isl_dim_param, dim2, isl_dim_param) &&
1782 isl_space_tuple_is_equal(dim1, isl_dim_in, dim2, isl_dim_in) &&
1783 isl_space_tuple_is_equal(dim1, isl_dim_out, dim2, isl_dim_out);
1786 /* Is space1 equal to the domain of space2?
1788 * In the internal version we also allow space2 to be the space of a set,
1789 * provided space1 is a parameter space.
1791 int isl_space_is_domain_internal(__isl_keep isl_space *space1,
1792 __isl_keep isl_space *space2)
1794 if (!space1 || !space2)
1795 return -1;
1796 if (!isl_space_is_set(space1))
1797 return 0;
1798 return match(space1, isl_dim_param, space2, isl_dim_param) &&
1799 isl_space_tuple_is_equal(space1, isl_dim_set,
1800 space2, isl_dim_in);
1803 /* Is space1 equal to the domain of space2?
1805 int isl_space_is_domain(__isl_keep isl_space *space1,
1806 __isl_keep isl_space *space2)
1808 if (!space2)
1809 return -1;
1810 if (!isl_space_is_map(space2))
1811 return 0;
1812 return isl_space_is_domain_internal(space1, space2);
1815 /* Is space1 equal to the range of space2?
1817 * In the internal version, space2 is allowed to be the space of a set,
1818 * in which case it should be equal to space1.
1820 int isl_space_is_range_internal(__isl_keep isl_space *space1,
1821 __isl_keep isl_space *space2)
1823 if (!space1 || !space2)
1824 return -1;
1825 if (!isl_space_is_set(space1))
1826 return 0;
1827 return match(space1, isl_dim_param, space2, isl_dim_param) &&
1828 isl_space_tuple_is_equal(space1, isl_dim_set,
1829 space2, isl_dim_out);
1832 /* Is space1 equal to the range of space2?
1834 int isl_space_is_range(__isl_keep isl_space *space1,
1835 __isl_keep isl_space *space2)
1837 if (!space2)
1838 return -1;
1839 if (!isl_space_is_map(space2))
1840 return 0;
1841 return isl_space_is_range_internal(space1, space2);
1844 int isl_space_compatible(__isl_keep isl_space *dim1,
1845 __isl_keep isl_space *dim2)
1847 return dim1->nparam == dim2->nparam &&
1848 dim1->n_in + dim1->n_out == dim2->n_in + dim2->n_out;
1851 static uint32_t isl_hash_dim(uint32_t hash, __isl_keep isl_space *dim)
1853 int i;
1854 isl_id *id;
1856 if (!dim)
1857 return hash;
1859 isl_hash_byte(hash, dim->nparam % 256);
1860 isl_hash_byte(hash, dim->n_in % 256);
1861 isl_hash_byte(hash, dim->n_out % 256);
1863 for (i = 0; i < dim->nparam; ++i) {
1864 id = get_id(dim, isl_dim_param, i);
1865 hash = isl_hash_id(hash, id);
1868 id = tuple_id(dim, isl_dim_in);
1869 hash = isl_hash_id(hash, id);
1870 id = tuple_id(dim, isl_dim_out);
1871 hash = isl_hash_id(hash, id);
1873 hash = isl_hash_dim(hash, dim->nested[0]);
1874 hash = isl_hash_dim(hash, dim->nested[1]);
1876 return hash;
1879 uint32_t isl_space_get_hash(__isl_keep isl_space *dim)
1881 uint32_t hash;
1883 if (!dim)
1884 return 0;
1886 hash = isl_hash_init();
1887 hash = isl_hash_dim(hash, dim);
1889 return hash;
1892 int isl_space_is_wrapping(__isl_keep isl_space *dim)
1894 if (!dim)
1895 return -1;
1897 if (!isl_space_is_set(dim))
1898 return 0;
1900 return dim->nested[1] != NULL;
1903 /* Is "space" the space of a map where the domain is a wrapped map space?
1905 int isl_space_domain_is_wrapping(__isl_keep isl_space *space)
1907 if (!space)
1908 return -1;
1910 if (isl_space_is_set(space))
1911 return 0;
1913 return space->nested[0] != NULL;
1916 /* Is "space" the space of a map where the range is a wrapped map space?
1918 int isl_space_range_is_wrapping(__isl_keep isl_space *space)
1920 if (!space)
1921 return -1;
1923 if (isl_space_is_set(space))
1924 return 0;
1926 return space->nested[1] != NULL;
1929 __isl_give isl_space *isl_space_wrap(__isl_take isl_space *dim)
1931 isl_space *wrap;
1933 if (!dim)
1934 return NULL;
1936 wrap = isl_space_set_alloc(dim->ctx,
1937 dim->nparam, dim->n_in + dim->n_out);
1939 wrap = copy_ids(wrap, isl_dim_param, 0, dim, isl_dim_param);
1940 wrap = copy_ids(wrap, isl_dim_set, 0, dim, isl_dim_in);
1941 wrap = copy_ids(wrap, isl_dim_set, dim->n_in, dim, isl_dim_out);
1943 if (!wrap)
1944 goto error;
1946 wrap->nested[1] = dim;
1948 return wrap;
1949 error:
1950 isl_space_free(dim);
1951 return NULL;
1954 __isl_give isl_space *isl_space_unwrap(__isl_take isl_space *dim)
1956 isl_space *unwrap;
1958 if (!dim)
1959 return NULL;
1961 if (!isl_space_is_wrapping(dim))
1962 isl_die(dim->ctx, isl_error_invalid, "not a wrapping space",
1963 goto error);
1965 unwrap = isl_space_copy(dim->nested[1]);
1966 isl_space_free(dim);
1968 return unwrap;
1969 error:
1970 isl_space_free(dim);
1971 return NULL;
1974 int isl_space_is_named_or_nested(__isl_keep isl_space *dim, enum isl_dim_type type)
1976 if (type != isl_dim_in && type != isl_dim_out)
1977 return 0;
1978 if (!dim)
1979 return -1;
1980 if (dim->tuple_id[type - isl_dim_in])
1981 return 1;
1982 if (dim->nested[type - isl_dim_in])
1983 return 1;
1984 return 0;
1987 int isl_space_may_be_set(__isl_keep isl_space *dim)
1989 if (!dim)
1990 return -1;
1991 if (isl_space_is_set(dim))
1992 return 1;
1993 if (isl_space_dim(dim, isl_dim_in) != 0)
1994 return 0;
1995 if (isl_space_is_named_or_nested(dim, isl_dim_in))
1996 return 0;
1997 return 1;
2000 __isl_give isl_space *isl_space_reset(__isl_take isl_space *dim,
2001 enum isl_dim_type type)
2003 if (!isl_space_is_named_or_nested(dim, type))
2004 return dim;
2006 dim = isl_space_cow(dim);
2007 if (!dim)
2008 return NULL;
2010 isl_id_free(dim->tuple_id[type - isl_dim_in]);
2011 dim->tuple_id[type - isl_dim_in] = NULL;
2012 isl_space_free(dim->nested[type - isl_dim_in]);
2013 dim->nested[type - isl_dim_in] = NULL;
2015 return dim;
2018 __isl_give isl_space *isl_space_flatten(__isl_take isl_space *dim)
2020 if (!dim)
2021 return NULL;
2022 if (!dim->nested[0] && !dim->nested[1])
2023 return dim;
2025 if (dim->nested[0])
2026 dim = isl_space_reset(dim, isl_dim_in);
2027 if (dim && dim->nested[1])
2028 dim = isl_space_reset(dim, isl_dim_out);
2030 return dim;
2033 __isl_give isl_space *isl_space_flatten_domain(__isl_take isl_space *dim)
2035 if (!dim)
2036 return NULL;
2037 if (!dim->nested[0])
2038 return dim;
2040 return isl_space_reset(dim, isl_dim_in);
2043 __isl_give isl_space *isl_space_flatten_range(__isl_take isl_space *dim)
2045 if (!dim)
2046 return NULL;
2047 if (!dim->nested[1])
2048 return dim;
2050 return isl_space_reset(dim, isl_dim_out);
2053 /* Replace the dimensions of the given type of dst by those of src.
2055 __isl_give isl_space *isl_space_replace(__isl_take isl_space *dst,
2056 enum isl_dim_type type, __isl_keep isl_space *src)
2058 dst = isl_space_cow(dst);
2060 if (!dst || !src)
2061 goto error;
2063 dst = isl_space_drop_dims(dst, type, 0, isl_space_dim(dst, type));
2064 dst = isl_space_add_dims(dst, type, isl_space_dim(src, type));
2065 dst = copy_ids(dst, type, 0, src, type);
2067 if (dst && type == isl_dim_param) {
2068 int i;
2069 for (i = 0; i <= 1; ++i) {
2070 if (!dst->nested[i])
2071 continue;
2072 dst->nested[i] = isl_space_replace(dst->nested[i],
2073 type, src);
2074 if (!dst->nested[i])
2075 goto error;
2079 return dst;
2080 error:
2081 isl_space_free(dst);
2082 return NULL;
2085 /* Given a dimension specification "dim" of a set, create a dimension
2086 * specification for the lift of the set. In particular, the result
2087 * is of the form [dim -> local[..]], with n_local variables in the
2088 * range of the wrapped map.
2090 __isl_give isl_space *isl_space_lift(__isl_take isl_space *dim, unsigned n_local)
2092 isl_space *local_dim;
2094 if (!dim)
2095 return NULL;
2097 local_dim = isl_space_dup(dim);
2098 local_dim = isl_space_drop_dims(local_dim, isl_dim_set, 0, dim->n_out);
2099 local_dim = isl_space_add_dims(local_dim, isl_dim_set, n_local);
2100 local_dim = isl_space_set_tuple_name(local_dim, isl_dim_set, "local");
2101 dim = isl_space_join(isl_space_from_domain(dim),
2102 isl_space_from_range(local_dim));
2103 dim = isl_space_wrap(dim);
2104 dim = isl_space_set_tuple_name(dim, isl_dim_set, "lifted");
2106 return dim;
2109 int isl_space_can_zip(__isl_keep isl_space *dim)
2111 if (!dim)
2112 return -1;
2114 return dim->nested[0] && dim->nested[1];
2117 __isl_give isl_space *isl_space_zip(__isl_take isl_space *dim)
2119 isl_space *dom, *ran;
2120 isl_space *dom_dom, *dom_ran, *ran_dom, *ran_ran;
2122 if (!isl_space_can_zip(dim))
2123 isl_die(dim->ctx, isl_error_invalid, "dim cannot be zipped",
2124 goto error);
2126 if (!dim)
2127 return NULL;
2128 dom = isl_space_unwrap(isl_space_domain(isl_space_copy(dim)));
2129 ran = isl_space_unwrap(isl_space_range(dim));
2130 dom_dom = isl_space_domain(isl_space_copy(dom));
2131 dom_ran = isl_space_range(dom);
2132 ran_dom = isl_space_domain(isl_space_copy(ran));
2133 ran_ran = isl_space_range(ran);
2134 dom = isl_space_join(isl_space_from_domain(dom_dom),
2135 isl_space_from_range(ran_dom));
2136 ran = isl_space_join(isl_space_from_domain(dom_ran),
2137 isl_space_from_range(ran_ran));
2138 return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
2139 isl_space_from_range(isl_space_wrap(ran)));
2140 error:
2141 isl_space_free(dim);
2142 return NULL;
2145 /* Can we apply isl_space_curry to "space"?
2146 * That is, does it have a nested relation in its domain?
2148 int isl_space_can_curry(__isl_keep isl_space *space)
2150 if (!space)
2151 return -1;
2153 return !!space->nested[0];
2156 /* Given a space (A -> B) -> C, return the corresponding space
2157 * A -> (B -> C).
2159 __isl_give isl_space *isl_space_curry(__isl_take isl_space *space)
2161 isl_space *dom, *ran;
2162 isl_space *dom_dom, *dom_ran;
2164 if (!space)
2165 return NULL;
2167 if (!isl_space_can_curry(space))
2168 isl_die(space->ctx, isl_error_invalid,
2169 "space cannot be curried", goto error);
2171 dom = isl_space_unwrap(isl_space_domain(isl_space_copy(space)));
2172 ran = isl_space_range(space);
2173 dom_dom = isl_space_domain(isl_space_copy(dom));
2174 dom_ran = isl_space_range(dom);
2175 ran = isl_space_join(isl_space_from_domain(dom_ran),
2176 isl_space_from_range(ran));
2177 return isl_space_join(isl_space_from_domain(dom_dom),
2178 isl_space_from_range(isl_space_wrap(ran)));
2179 error:
2180 isl_space_free(space);
2181 return NULL;
2184 /* Can we apply isl_space_uncurry to "space"?
2185 * That is, does it have a nested relation in its range?
2187 int isl_space_can_uncurry(__isl_keep isl_space *space)
2189 if (!space)
2190 return -1;
2192 return !!space->nested[1];
2195 /* Given a space A -> (B -> C), return the corresponding space
2196 * (A -> B) -> C.
2198 __isl_give isl_space *isl_space_uncurry(__isl_take isl_space *space)
2200 isl_space *dom, *ran;
2201 isl_space *ran_dom, *ran_ran;
2203 if (!space)
2204 return NULL;
2206 if (!isl_space_can_uncurry(space))
2207 isl_die(space->ctx, isl_error_invalid,
2208 "space cannot be uncurried",
2209 return isl_space_free(space));
2211 dom = isl_space_domain(isl_space_copy(space));
2212 ran = isl_space_unwrap(isl_space_range(space));
2213 ran_dom = isl_space_domain(isl_space_copy(ran));
2214 ran_ran = isl_space_range(ran);
2215 dom = isl_space_join(isl_space_from_domain(dom),
2216 isl_space_from_range(ran_dom));
2217 return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
2218 isl_space_from_range(ran_ran));
2221 int isl_space_has_named_params(__isl_keep isl_space *dim)
2223 int i;
2224 unsigned off;
2226 if (!dim)
2227 return -1;
2228 if (dim->nparam == 0)
2229 return 1;
2230 off = isl_space_offset(dim, isl_dim_param);
2231 if (off + dim->nparam > dim->n_id)
2232 return 0;
2233 for (i = 0; i < dim->nparam; ++i)
2234 if (!dim->ids[off + i])
2235 return 0;
2236 return 1;
2239 /* Align the initial parameters of dim1 to match the order in dim2.
2241 __isl_give isl_space *isl_space_align_params(__isl_take isl_space *dim1,
2242 __isl_take isl_space *dim2)
2244 isl_reordering *exp;
2246 if (!isl_space_has_named_params(dim1) || !isl_space_has_named_params(dim2))
2247 isl_die(isl_space_get_ctx(dim1), isl_error_invalid,
2248 "parameter alignment requires named parameters",
2249 goto error);
2251 dim2 = isl_space_params(dim2);
2252 exp = isl_parameter_alignment_reordering(dim1, dim2);
2253 exp = isl_reordering_extend_space(exp, dim1);
2254 isl_space_free(dim2);
2255 if (!exp)
2256 return NULL;
2257 dim1 = isl_space_copy(exp->dim);
2258 isl_reordering_free(exp);
2259 return dim1;
2260 error:
2261 isl_space_free(dim1);
2262 isl_space_free(dim2);
2263 return NULL;
2266 /* Given the space of set (domain), construct a space for a map
2267 * with as domain the given space and as range the range of "model".
2269 __isl_give isl_space *isl_space_extend_domain_with_range(
2270 __isl_take isl_space *space, __isl_take isl_space *model)
2272 if (!model)
2273 goto error;
2275 space = isl_space_from_domain(space);
2276 space = isl_space_add_dims(space, isl_dim_out,
2277 isl_space_dim(model, isl_dim_out));
2278 if (isl_space_has_tuple_id(model, isl_dim_out))
2279 space = isl_space_set_tuple_id(space, isl_dim_out,
2280 isl_space_get_tuple_id(model, isl_dim_out));
2281 if (!space)
2282 goto error;
2283 if (model->nested[1]) {
2284 isl_space *nested = isl_space_copy(model->nested[1]);
2285 int n_nested, n_space;
2286 nested = isl_space_align_params(nested, isl_space_copy(space));
2287 n_nested = isl_space_dim(nested, isl_dim_param);
2288 n_space = isl_space_dim(space, isl_dim_param);
2289 if (n_nested > n_space)
2290 nested = isl_space_drop_dims(nested, isl_dim_param,
2291 n_space, n_nested - n_space);
2292 if (!nested)
2293 goto error;
2294 space->nested[1] = nested;
2296 isl_space_free(model);
2297 return space;
2298 error:
2299 isl_space_free(model);
2300 isl_space_free(space);
2301 return NULL;
2304 /* Compare the "type" dimensions of two isl_spaces.
2306 * The order is fairly arbitrary.
2308 static int isl_space_cmp_type(__isl_keep isl_space *space1,
2309 __isl_keep isl_space *space2, enum isl_dim_type type)
2311 int cmp;
2312 isl_space *nested1, *nested2;
2314 if (isl_space_dim(space1, type) != isl_space_dim(space2, type))
2315 return isl_space_dim(space1, type) -
2316 isl_space_dim(space2, type);
2318 cmp = isl_id_cmp(tuple_id(space1, type), tuple_id(space2, type));
2319 if (cmp != 0)
2320 return cmp;
2322 nested1 = nested(space1, type);
2323 nested2 = nested(space2, type);
2324 if (!nested1 != !nested2)
2325 return !nested1 - !nested2;
2327 if (nested1)
2328 return isl_space_cmp(nested1, nested2);
2330 return 0;
2333 /* Compare two isl_spaces.
2335 * The order is fairly arbitrary.
2337 int isl_space_cmp(__isl_keep isl_space *space1, __isl_keep isl_space *space2)
2339 int i;
2340 int cmp;
2342 if (space1 == space2)
2343 return 0;
2344 if (!space1)
2345 return -1;
2346 if (!space2)
2347 return 1;
2349 cmp = isl_space_cmp_type(space1, space2, isl_dim_param);
2350 if (cmp != 0)
2351 return cmp;
2352 cmp = isl_space_cmp_type(space1, space2, isl_dim_in);
2353 if (cmp != 0)
2354 return cmp;
2355 cmp = isl_space_cmp_type(space1, space2, isl_dim_out);
2356 if (cmp != 0)
2357 return cmp;
2359 if (!space1->ids && !space2->ids)
2360 return 0;
2362 for (i = 0; i < n(space1, isl_dim_param); ++i) {
2363 cmp = isl_id_cmp(get_id(space1, isl_dim_param, i),
2364 get_id(space2, isl_dim_param, i));
2365 if (cmp != 0)
2366 return cmp;
2369 return 0;