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
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
)
31 dim
= isl_alloc_type(ctx
, struct isl_space
);
42 dim
->tuple_id
[0] = NULL
;
43 dim
->tuple_id
[1] = NULL
;
45 dim
->nested
[0] = NULL
;
46 dim
->nested
[1] = NULL
;
54 /* Mark the space as being that of a set, by setting the domain tuple
57 static __isl_give isl_space
*mark_as_set(__isl_take isl_space
*space
)
59 space
= isl_space_cow(space
);
62 space
= isl_space_set_tuple_id(space
, isl_dim_in
, &isl_id_none
);
66 /* Is the space that of a set?
68 isl_bool
isl_space_is_set(__isl_keep isl_space
*space
)
71 return isl_bool_error
;
72 if (space
->n_in
!= 0 || space
->nested
[0])
73 return isl_bool_false
;
74 if (space
->tuple_id
[0] != &isl_id_none
)
75 return isl_bool_false
;
79 /* Is the given space that of a map?
81 isl_bool
isl_space_is_map(__isl_keep isl_space
*space
)
84 return isl_bool_error
;
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
)
93 space
= isl_space_alloc(ctx
, nparam
, 0, dim
);
94 space
= mark_as_set(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
)
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
);
110 /* Is the space that of a parameter domain?
112 isl_bool
isl_space_is_params(__isl_keep isl_space
*space
)
115 return isl_bool_error
;
116 if (space
->n_in
!= 0 || space
->nested
[0] ||
117 space
->n_out
!= 0 || space
->nested
[1])
118 return isl_bool_false
;
119 if (space
->tuple_id
[0] != &isl_id_none
)
120 return isl_bool_false
;
121 if (space
->tuple_id
[1] != &isl_id_none
)
122 return isl_bool_false
;
123 return isl_bool_true
;
126 /* Create a space for a parameter domain.
128 __isl_give isl_space
*isl_space_params_alloc(isl_ctx
*ctx
, unsigned nparam
)
131 space
= isl_space_alloc(ctx
, nparam
, 0, 0);
132 space
= mark_as_params(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
;
143 isl_assert(ctx
, pos
< dim
->nparam
,
144 return isl_space_dim(dim
, isl_dim_all
));
147 isl_assert(ctx
, pos
< dim
->n_in
,
148 return isl_space_dim(dim
, isl_dim_all
));
149 return pos
+ dim
->nparam
;
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
;
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
)
167 if (isl_space_dim(dim
, isl_dim_all
) <= dim
->n_id
)
171 dim
->ids
= isl_calloc_array(dim
->ctx
,
172 isl_id
*, isl_space_dim(dim
, isl_dim_all
));
176 ids
= isl_realloc_array(dim
->ctx
, dim
->ids
,
177 isl_id
*, isl_space_dim(dim
, isl_dim_all
));
181 for (i
= dim
->n_id
; i
< isl_space_dim(dim
, isl_dim_all
); ++i
)
185 dim
->n_id
= isl_space_dim(dim
, isl_dim_all
);
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
);
201 pos
= global_pos(dim
, type
, pos
);
202 if (pos
== isl_space_dim(dim
, isl_dim_all
))
205 if (pos
>= dim
->n_id
) {
208 dim
= extend_ids(dim
);
222 static __isl_keep isl_id
*get_id(__isl_keep isl_space
*dim
,
223 enum isl_dim_type type
, unsigned pos
)
228 pos
= global_pos(dim
, type
, pos
);
229 if (pos
== isl_space_dim(dim
, isl_dim_all
))
231 if (pos
>= dim
->n_id
)
233 return dim
->ids
[pos
];
236 static unsigned offset(__isl_keep isl_space
*dim
, enum isl_dim_type 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
;
246 static unsigned n(__isl_keep isl_space
*dim
, enum isl_dim_type 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
;
257 unsigned isl_space_dim(__isl_keep isl_space
*dim
, enum isl_dim_type type
)
264 unsigned isl_space_offset(__isl_keep isl_space
*dim
, enum isl_dim_type type
)
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
)
281 for (i
= 0; i
< n(src
, src_type
); ++i
) {
282 id
= get_id(src
, src_type
, i
);
285 dst
= set_id(dst
, dst_type
, offset
+ i
, isl_id_copy(id
));
292 __isl_take isl_space
*isl_space_dup(__isl_keep isl_space
*dim
)
297 dup
= isl_space_alloc(dim
->ctx
, dim
->nparam
, dim
->n_in
, dim
->n_out
);
300 if (dim
->tuple_id
[0] &&
301 !(dup
->tuple_id
[0] = isl_id_copy(dim
->tuple_id
[0])))
303 if (dim
->tuple_id
[1] &&
304 !(dup
->tuple_id
[1] = isl_id_copy(dim
->tuple_id
[1])))
306 if (dim
->nested
[0] && !(dup
->nested
[0] = isl_space_copy(dim
->nested
[0])))
308 if (dim
->nested
[1] && !(dup
->nested
[1] = isl_space_copy(dim
->nested
[1])))
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
);
321 __isl_give isl_space
*isl_space_cow(__isl_take isl_space
*dim
)
329 return isl_space_dup(dim
);
332 __isl_give isl_space
*isl_space_copy(__isl_keep isl_space
*dim
)
341 __isl_null isl_space
*isl_space_free(__isl_take isl_space
*space
)
348 if (--space
->ref
> 0)
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
]);
360 isl_ctx_deref(space
->ctx
);
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
)
377 dummy
= strtol(s
, &p
, 0);
379 isl_die(ctx
, isl_error_invalid
, "name looks like a number",
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
)
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",
406 /* Does the tuple have an id?
408 isl_bool
isl_space_has_tuple_id(__isl_keep isl_space
*dim
,
409 enum isl_dim_type type
)
411 if (!space_can_have_id(dim
, type
))
412 return isl_bool_error
;
413 return dim
->tuple_id
[type
- isl_dim_in
] != NULL
;
416 __isl_give isl_id
*isl_space_get_tuple_id(__isl_keep isl_space
*dim
,
417 enum isl_dim_type type
)
423 has_id
= isl_space_has_tuple_id(dim
, type
);
427 isl_die(dim
->ctx
, isl_error_invalid
,
428 "tuple has no id", return NULL
);
429 return isl_id_copy(dim
->tuple_id
[type
- isl_dim_in
]);
432 __isl_give isl_space
*isl_space_set_tuple_id(__isl_take isl_space
*dim
,
433 enum isl_dim_type type
, __isl_take isl_id
*id
)
435 dim
= isl_space_cow(dim
);
438 if (type
!= isl_dim_in
&& type
!= isl_dim_out
)
439 isl_die(dim
->ctx
, isl_error_invalid
,
440 "only input, output and set tuples can have names",
443 isl_id_free(dim
->tuple_id
[type
- isl_dim_in
]);
444 dim
->tuple_id
[type
- isl_dim_in
] = id
;
453 __isl_give isl_space
*isl_space_reset_tuple_id(__isl_take isl_space
*dim
,
454 enum isl_dim_type type
)
456 dim
= isl_space_cow(dim
);
459 if (type
!= isl_dim_in
&& type
!= isl_dim_out
)
460 isl_die(dim
->ctx
, isl_error_invalid
,
461 "only input, output and set tuples can have names",
464 isl_id_free(dim
->tuple_id
[type
- isl_dim_in
]);
465 dim
->tuple_id
[type
- isl_dim_in
] = NULL
;
473 /* Set the id of the given dimension of "space" to "id".
474 * If the dimension already has an id, then it is replaced.
475 * If the dimension is a parameter, then we need to change it
476 * in the nested spaces (if any) as well.
478 __isl_give isl_space
*isl_space_set_dim_id(__isl_take isl_space
*space
,
479 enum isl_dim_type type
, unsigned pos
, __isl_take isl_id
*id
)
481 space
= isl_space_cow(space
);
485 if (type
== isl_dim_param
) {
488 for (i
= 0; i
< 2; ++i
) {
489 if (!space
->nested
[i
])
492 isl_space_set_dim_id(space
->nested
[i
],
493 type
, pos
, isl_id_copy(id
));
494 if (!space
->nested
[i
])
499 isl_id_free(get_id(space
, type
, pos
));
500 return set_id(space
, type
, pos
, id
);
503 isl_space_free(space
);
507 /* Reset the id of the given dimension of "space".
508 * If the dimension already has an id, then it is removed.
509 * If the dimension is a parameter, then we need to reset it
510 * in the nested spaces (if any) as well.
512 __isl_give isl_space
*isl_space_reset_dim_id(__isl_take isl_space
*space
,
513 enum isl_dim_type type
, unsigned pos
)
515 space
= isl_space_cow(space
);
519 if (type
== isl_dim_param
) {
522 for (i
= 0; i
< 2; ++i
) {
523 if (!space
->nested
[i
])
526 isl_space_reset_dim_id(space
->nested
[i
],
528 if (!space
->nested
[i
])
533 isl_id_free(get_id(space
, type
, pos
));
534 return set_id(space
, type
, pos
, NULL
);
536 isl_space_free(space
);
540 isl_bool
isl_space_has_dim_id(__isl_keep isl_space
*dim
,
541 enum isl_dim_type type
, unsigned pos
)
544 return isl_bool_error
;
545 return get_id(dim
, type
, pos
) != NULL
;
548 __isl_give isl_id
*isl_space_get_dim_id(__isl_keep isl_space
*dim
,
549 enum isl_dim_type type
, unsigned pos
)
553 if (!get_id(dim
, type
, pos
))
554 isl_die(dim
->ctx
, isl_error_invalid
,
555 "dim has no id", return NULL
);
556 return isl_id_copy(get_id(dim
, type
, pos
));
559 __isl_give isl_space
*isl_space_set_tuple_name(__isl_take isl_space
*dim
,
560 enum isl_dim_type type
, const char *s
)
568 return isl_space_reset_tuple_id(dim
, type
);
570 if (!name_ok(dim
->ctx
, s
))
573 id
= isl_id_alloc(dim
->ctx
, s
, NULL
);
574 return isl_space_set_tuple_id(dim
, type
, id
);
580 /* Does the tuple have a name?
582 isl_bool
isl_space_has_tuple_name(__isl_keep isl_space
*space
,
583 enum isl_dim_type type
)
587 if (!space_can_have_id(space
, type
))
588 return isl_bool_error
;
589 id
= space
->tuple_id
[type
- isl_dim_in
];
590 return id
&& id
->name
;
593 const char *isl_space_get_tuple_name(__isl_keep isl_space
*dim
,
594 enum isl_dim_type type
)
599 if (type
!= isl_dim_in
&& type
!= isl_dim_out
)
601 id
= dim
->tuple_id
[type
- isl_dim_in
];
602 return id
? id
->name
: NULL
;
605 __isl_give isl_space
*isl_space_set_dim_name(__isl_take isl_space
*dim
,
606 enum isl_dim_type type
, unsigned pos
,
614 return isl_space_reset_dim_id(dim
, type
, pos
);
615 if (!name_ok(dim
->ctx
, s
))
617 id
= isl_id_alloc(dim
->ctx
, s
, NULL
);
618 return isl_space_set_dim_id(dim
, type
, pos
, id
);
624 /* Does the given dimension have a name?
626 isl_bool
isl_space_has_dim_name(__isl_keep isl_space
*space
,
627 enum isl_dim_type type
, unsigned pos
)
632 return isl_bool_error
;
633 id
= get_id(space
, type
, pos
);
634 return id
&& id
->name
;
637 __isl_keep
const char *isl_space_get_dim_name(__isl_keep isl_space
*dim
,
638 enum isl_dim_type type
, unsigned pos
)
640 isl_id
*id
= get_id(dim
, type
, pos
);
641 return id
? id
->name
: NULL
;
644 int isl_space_find_dim_by_id(__isl_keep isl_space
*dim
, enum isl_dim_type type
,
645 __isl_keep isl_id
*id
)
654 offset
= isl_space_offset(dim
, type
);
655 n
= isl_space_dim(dim
, type
);
656 for (i
= 0; i
< n
&& offset
+ i
< dim
->n_id
; ++i
)
657 if (dim
->ids
[offset
+ i
] == id
)
663 int isl_space_find_dim_by_name(__isl_keep isl_space
*space
,
664 enum isl_dim_type type
, const char *name
)
673 offset
= isl_space_offset(space
, type
);
674 n
= isl_space_dim(space
, type
);
675 for (i
= 0; i
< n
&& offset
+ i
< space
->n_id
; ++i
) {
676 isl_id
*id
= get_id(space
, type
, i
);
677 if (id
&& id
->name
&& !strcmp(id
->name
, name
))
684 /* Reset the user pointer on all identifiers of parameters and tuples
687 __isl_give isl_space
*isl_space_reset_user(__isl_take isl_space
*space
)
697 ctx
= isl_space_get_ctx(space
);
699 for (i
= 0; i
< space
->nparam
&& i
< space
->n_id
; ++i
) {
700 if (!isl_id_get_user(space
->ids
[i
]))
702 space
= isl_space_cow(space
);
705 name
= isl_id_get_name(space
->ids
[i
]);
706 id
= isl_id_alloc(ctx
, name
, NULL
);
707 isl_id_free(space
->ids
[i
]);
710 return isl_space_free(space
);
713 for (i
= 0; i
< 2; ++i
) {
714 if (!space
->tuple_id
[i
])
716 if (!isl_id_get_user(space
->tuple_id
[i
]))
718 space
= isl_space_cow(space
);
721 name
= isl_id_get_name(space
->tuple_id
[i
]);
722 id
= isl_id_alloc(ctx
, name
, NULL
);
723 isl_id_free(space
->tuple_id
[i
]);
724 space
->tuple_id
[i
] = id
;
726 return isl_space_free(space
);
729 for (i
= 0; i
< 2; ++i
) {
730 if (!space
->nested
[i
])
732 space
= isl_space_cow(space
);
735 space
->nested
[i
] = isl_space_reset_user(space
->nested
[i
]);
736 if (!space
->nested
[i
])
737 return isl_space_free(space
);
743 static __isl_keep isl_id
*tuple_id(__isl_keep isl_space
*dim
,
744 enum isl_dim_type type
)
748 if (type
== isl_dim_in
)
749 return dim
->tuple_id
[0];
750 if (type
== isl_dim_out
)
751 return dim
->tuple_id
[1];
755 static __isl_keep isl_space
*nested(__isl_keep isl_space
*dim
,
756 enum isl_dim_type type
)
760 if (type
== isl_dim_in
)
761 return dim
->nested
[0];
762 if (type
== isl_dim_out
)
763 return dim
->nested
[1];
767 /* Are the two spaces the same, apart from positions and names of parameters?
769 isl_bool
isl_space_has_equal_tuples(__isl_keep isl_space
*space1
,
770 __isl_keep isl_space
*space2
)
772 if (!space1
|| !space2
)
773 return isl_bool_error
;
774 if (space1
== space2
)
775 return isl_bool_true
;
776 return isl_space_tuple_is_equal(space1
, isl_dim_in
,
777 space2
, isl_dim_in
) &&
778 isl_space_tuple_is_equal(space1
, isl_dim_out
,
779 space2
, isl_dim_out
);
782 /* Check if the tuple of type "type1" of "space1" is the same as
783 * the tuple of type "type2" of "space2".
785 * That is, check if the tuples have the same identifier, the same dimension
786 * and the same internal structure.
787 * The identifiers of the dimensions inside the tuples do not affect the result.
789 * Note that this function only checks the tuples themselves.
790 * If nested tuples are involved, then we need to be careful not
791 * to have result affected by possibly differing parameters
792 * in those nested tuples.
794 isl_bool
isl_space_tuple_is_equal(__isl_keep isl_space
*space1
,
795 enum isl_dim_type type1
, __isl_keep isl_space
*space2
,
796 enum isl_dim_type type2
)
799 isl_space
*nested1
, *nested2
;
801 if (!space1
|| !space2
)
802 return isl_bool_error
;
804 if (space1
== space2
&& type1
== type2
)
805 return isl_bool_true
;
807 if (n(space1
, type1
) != n(space2
, type2
))
808 return isl_bool_false
;
809 id1
= tuple_id(space1
, type1
);
810 id2
= tuple_id(space2
, type2
);
812 return isl_bool_false
;
813 if (id1
&& id1
!= id2
)
814 return isl_bool_false
;
815 nested1
= nested(space1
, type1
);
816 nested2
= nested(space2
, type2
);
817 if (!nested1
^ !nested2
)
818 return isl_bool_false
;
819 if (nested1
&& !isl_space_has_equal_tuples(nested1
, nested2
))
820 return isl_bool_false
;
821 return isl_bool_true
;
824 /* This is the old, undocumented, name for isl_space_tuple_is_equal.
825 * It will be removed at some point.
827 int isl_space_tuple_match(__isl_keep isl_space
*space1
, enum isl_dim_type type1
,
828 __isl_keep isl_space
*space2
, enum isl_dim_type type2
)
830 return isl_space_tuple_is_equal(space1
, type1
, space2
, type2
);
833 static int match(__isl_keep isl_space
*space1
, enum isl_dim_type type1
,
834 __isl_keep isl_space
*space2
, enum isl_dim_type type2
)
838 if (space1
== space2
&& type1
== type2
)
841 if (!isl_space_tuple_is_equal(space1
, type1
, space2
, type2
))
844 if (!space1
->ids
&& !space2
->ids
)
847 for (i
= 0; i
< n(space1
, type1
); ++i
) {
848 if (get_id(space1
, type1
, i
) != get_id(space2
, type2
, i
))
854 isl_bool
isl_space_match(__isl_keep isl_space
*space1
, enum isl_dim_type type1
,
855 __isl_keep isl_space
*space2
, enum isl_dim_type type2
)
857 if (!space1
|| !space2
)
858 return isl_bool_error
;
860 return match(space1
, type1
, space2
, type2
);
863 static void get_ids(__isl_keep isl_space
*dim
, enum isl_dim_type type
,
864 unsigned first
, unsigned n
, __isl_keep isl_id
**ids
)
868 for (i
= 0; i
< n
; ++i
)
869 ids
[i
] = get_id(dim
, type
, first
+ i
);
872 __isl_give isl_space
*isl_space_extend(__isl_take isl_space
*space
,
873 unsigned nparam
, unsigned n_in
, unsigned n_out
)
879 if (space
->nparam
== nparam
&&
880 space
->n_in
== n_in
&& space
->n_out
== n_out
)
883 isl_assert(space
->ctx
, space
->nparam
<= nparam
, goto error
);
884 isl_assert(space
->ctx
, space
->n_in
<= n_in
, goto error
);
885 isl_assert(space
->ctx
, space
->n_out
<= n_out
, goto error
);
887 space
= isl_space_cow(space
);
893 n
= nparam
+ n_in
+ n_out
;
894 if (n
< nparam
|| n
< n_in
|| n
< n_out
)
895 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
896 "overflow in total number of dimensions",
898 ids
= isl_calloc_array(space
->ctx
, isl_id
*, n
);
901 get_ids(space
, isl_dim_param
, 0, space
->nparam
, ids
);
902 get_ids(space
, isl_dim_in
, 0, space
->n_in
, ids
+ nparam
);
903 get_ids(space
, isl_dim_out
, 0, space
->n_out
,
904 ids
+ nparam
+ n_in
);
907 space
->n_id
= nparam
+ n_in
+ n_out
;
909 space
->nparam
= nparam
;
911 space
->n_out
= n_out
;
916 isl_space_free(space
);
920 __isl_give isl_space
*isl_space_add_dims(__isl_take isl_space
*dim
,
921 enum isl_dim_type type
, unsigned n
)
923 dim
= isl_space_reset(dim
, type
);
928 dim
= isl_space_extend(dim
,
929 dim
->nparam
+ n
, dim
->n_in
, dim
->n_out
);
930 if (dim
&& dim
->nested
[0] &&
931 !(dim
->nested
[0] = isl_space_add_dims(dim
->nested
[0],
934 if (dim
&& dim
->nested
[1] &&
935 !(dim
->nested
[1] = isl_space_add_dims(dim
->nested
[1],
940 return isl_space_extend(dim
,
941 dim
->nparam
, dim
->n_in
+ n
, dim
->n_out
);
943 return isl_space_extend(dim
,
944 dim
->nparam
, dim
->n_in
, dim
->n_out
+ n
);
946 isl_die(dim
->ctx
, isl_error_invalid
,
947 "cannot add dimensions of specified type", goto error
);
954 static int valid_dim_type(enum isl_dim_type type
)
966 /* Insert "n" dimensions of type "type" at position "pos".
967 * If we are inserting parameters, then they are also inserted in
970 __isl_give isl_space
*isl_space_insert_dims(__isl_take isl_space
*dim
,
971 enum isl_dim_type type
, unsigned pos
, unsigned n
)
978 return isl_space_reset(dim
, type
);
980 if (!valid_dim_type(type
))
981 isl_die(dim
->ctx
, isl_error_invalid
,
982 "cannot insert dimensions of specified type",
985 isl_assert(dim
->ctx
, pos
<= isl_space_dim(dim
, type
), goto error
);
987 dim
= isl_space_cow(dim
);
992 enum isl_dim_type t
, o
= isl_dim_param
;
995 ids
= isl_calloc_array(dim
->ctx
, isl_id
*,
996 dim
->nparam
+ dim
->n_in
+ dim
->n_out
+ n
);
1000 s
[isl_dim_param
- o
] = dim
->nparam
;
1001 s
[isl_dim_in
- o
] = dim
->n_in
;
1002 s
[isl_dim_out
- o
] = dim
->n_out
;
1003 for (t
= isl_dim_param
; t
<= isl_dim_out
; ++t
) {
1005 get_ids(dim
, t
, 0, s
[t
- o
], ids
+ off
);
1008 get_ids(dim
, t
, 0, pos
, ids
+ off
);
1010 get_ids(dim
, t
, pos
, s
[t
- o
] - pos
, ids
+ off
);
1011 off
+= s
[t
- o
] - pos
;
1016 dim
->n_id
= dim
->nparam
+ dim
->n_in
+ dim
->n_out
+ n
;
1019 case isl_dim_param
: dim
->nparam
+= n
; break;
1020 case isl_dim_in
: dim
->n_in
+= n
; break;
1021 case isl_dim_out
: dim
->n_out
+= n
; break;
1024 dim
= isl_space_reset(dim
, type
);
1026 if (type
== isl_dim_param
) {
1027 if (dim
&& dim
->nested
[0] &&
1028 !(dim
->nested
[0] = isl_space_insert_dims(dim
->nested
[0],
1029 isl_dim_param
, pos
, n
)))
1031 if (dim
&& dim
->nested
[1] &&
1032 !(dim
->nested
[1] = isl_space_insert_dims(dim
->nested
[1],
1033 isl_dim_param
, pos
, n
)))
1039 isl_space_free(dim
);
1043 __isl_give isl_space
*isl_space_move_dims(__isl_take isl_space
*space
,
1044 enum isl_dim_type dst_type
, unsigned dst_pos
,
1045 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
1049 space
= isl_space_reset(space
, src_type
);
1050 space
= isl_space_reset(space
, dst_type
);
1056 isl_assert(space
->ctx
, src_pos
+ n
<= isl_space_dim(space
, src_type
),
1059 if (dst_type
== src_type
&& dst_pos
== src_pos
)
1062 isl_assert(space
->ctx
, dst_type
!= src_type
, goto error
);
1064 space
= isl_space_cow(space
);
1070 enum isl_dim_type t
, o
= isl_dim_param
;
1073 ids
= isl_calloc_array(space
->ctx
, isl_id
*,
1074 space
->nparam
+ space
->n_in
+ space
->n_out
);
1078 s
[isl_dim_param
- o
] = space
->nparam
;
1079 s
[isl_dim_in
- o
] = space
->n_in
;
1080 s
[isl_dim_out
- o
] = space
->n_out
;
1081 for (t
= isl_dim_param
; t
<= isl_dim_out
; ++t
) {
1082 if (t
== dst_type
) {
1083 get_ids(space
, t
, 0, dst_pos
, ids
+ off
);
1085 get_ids(space
, src_type
, src_pos
, n
, ids
+ off
);
1087 get_ids(space
, t
, dst_pos
, s
[t
- o
] - dst_pos
,
1089 off
+= s
[t
- o
] - dst_pos
;
1090 } else if (t
== src_type
) {
1091 get_ids(space
, t
, 0, src_pos
, ids
+ off
);
1093 get_ids(space
, t
, src_pos
+ n
,
1094 s
[t
- o
] - src_pos
- n
, ids
+ off
);
1095 off
+= s
[t
- o
] - src_pos
- n
;
1097 get_ids(space
, t
, 0, s
[t
- o
], ids
+ off
);
1103 space
->n_id
= space
->nparam
+ space
->n_in
+ space
->n_out
;
1107 case isl_dim_param
: space
->nparam
+= n
; break;
1108 case isl_dim_in
: space
->n_in
+= n
; break;
1109 case isl_dim_out
: space
->n_out
+= n
; break;
1114 case isl_dim_param
: space
->nparam
-= n
; break;
1115 case isl_dim_in
: space
->n_in
-= n
; break;
1116 case isl_dim_out
: space
->n_out
-= n
; break;
1120 if (dst_type
!= isl_dim_param
&& src_type
!= isl_dim_param
)
1123 for (i
= 0; i
< 2; ++i
) {
1124 if (!space
->nested
[i
])
1126 space
->nested
[i
] = isl_space_replace(space
->nested
[i
],
1127 isl_dim_param
, space
);
1128 if (!space
->nested
[i
])
1134 isl_space_free(space
);
1138 __isl_give isl_space
*isl_space_join(__isl_take isl_space
*left
,
1139 __isl_take isl_space
*right
)
1143 if (!left
|| !right
)
1146 isl_assert(left
->ctx
, match(left
, isl_dim_param
, right
, isl_dim_param
),
1148 isl_assert(left
->ctx
,
1149 isl_space_tuple_is_equal(left
, isl_dim_out
, right
, isl_dim_in
),
1152 dim
= isl_space_alloc(left
->ctx
, left
->nparam
, left
->n_in
, right
->n_out
);
1156 dim
= copy_ids(dim
, isl_dim_param
, 0, left
, isl_dim_param
);
1157 dim
= copy_ids(dim
, isl_dim_in
, 0, left
, isl_dim_in
);
1158 dim
= copy_ids(dim
, isl_dim_out
, 0, right
, isl_dim_out
);
1160 if (dim
&& left
->tuple_id
[0] &&
1161 !(dim
->tuple_id
[0] = isl_id_copy(left
->tuple_id
[0])))
1163 if (dim
&& right
->tuple_id
[1] &&
1164 !(dim
->tuple_id
[1] = isl_id_copy(right
->tuple_id
[1])))
1166 if (dim
&& left
->nested
[0] &&
1167 !(dim
->nested
[0] = isl_space_copy(left
->nested
[0])))
1169 if (dim
&& right
->nested
[1] &&
1170 !(dim
->nested
[1] = isl_space_copy(right
->nested
[1])))
1173 isl_space_free(left
);
1174 isl_space_free(right
);
1178 isl_space_free(left
);
1179 isl_space_free(right
);
1183 /* Given two map spaces { A -> C } and { B -> D }, construct the space
1184 * { [A -> B] -> [C -> D] }.
1185 * Given two set spaces { A } and { B }, construct the space { [A -> B] }.
1187 __isl_give isl_space
*isl_space_product(__isl_take isl_space
*left
,
1188 __isl_take isl_space
*right
)
1190 isl_space
*dom1
, *dom2
, *nest1
, *nest2
;
1193 if (!left
|| !right
)
1196 is_set
= isl_space_is_set(left
);
1197 if (is_set
!= isl_space_is_set(right
))
1198 isl_die(isl_space_get_ctx(left
), isl_error_invalid
,
1199 "expecting either two set spaces or two map spaces",
1202 return isl_space_range_product(left
, right
);
1204 isl_assert(left
->ctx
, match(left
, isl_dim_param
, right
, isl_dim_param
),
1207 dom1
= isl_space_domain(isl_space_copy(left
));
1208 dom2
= isl_space_domain(isl_space_copy(right
));
1209 nest1
= isl_space_wrap(isl_space_join(isl_space_reverse(dom1
), dom2
));
1211 dom1
= isl_space_range(left
);
1212 dom2
= isl_space_range(right
);
1213 nest2
= isl_space_wrap(isl_space_join(isl_space_reverse(dom1
), dom2
));
1215 return isl_space_join(isl_space_reverse(nest1
), nest2
);
1217 isl_space_free(left
);
1218 isl_space_free(right
);
1222 /* Given two spaces { A -> C } and { B -> C }, construct the space
1225 __isl_give isl_space
*isl_space_domain_product(__isl_take isl_space
*left
,
1226 __isl_take isl_space
*right
)
1228 isl_space
*ran
, *dom1
, *dom2
, *nest
;
1230 if (!left
|| !right
)
1233 if (!match(left
, isl_dim_param
, right
, isl_dim_param
))
1234 isl_die(left
->ctx
, isl_error_invalid
,
1235 "parameters need to match", goto error
);
1236 if (!isl_space_tuple_is_equal(left
, isl_dim_out
, right
, isl_dim_out
))
1237 isl_die(left
->ctx
, isl_error_invalid
,
1238 "ranges need to match", goto error
);
1240 ran
= isl_space_range(isl_space_copy(left
));
1242 dom1
= isl_space_domain(left
);
1243 dom2
= isl_space_domain(right
);
1244 nest
= isl_space_wrap(isl_space_join(isl_space_reverse(dom1
), dom2
));
1246 return isl_space_join(isl_space_reverse(nest
), ran
);
1248 isl_space_free(left
);
1249 isl_space_free(right
);
1253 __isl_give isl_space
*isl_space_range_product(__isl_take isl_space
*left
,
1254 __isl_take isl_space
*right
)
1256 isl_space
*dom
, *ran1
, *ran2
, *nest
;
1258 if (!left
|| !right
)
1261 isl_assert(left
->ctx
, match(left
, isl_dim_param
, right
, isl_dim_param
),
1263 if (!isl_space_tuple_is_equal(left
, isl_dim_in
, right
, isl_dim_in
))
1264 isl_die(left
->ctx
, isl_error_invalid
,
1265 "domains need to match", goto error
);
1267 dom
= isl_space_domain(isl_space_copy(left
));
1269 ran1
= isl_space_range(left
);
1270 ran2
= isl_space_range(right
);
1271 nest
= isl_space_wrap(isl_space_join(isl_space_reverse(ran1
), ran2
));
1273 return isl_space_join(isl_space_reverse(dom
), nest
);
1275 isl_space_free(left
);
1276 isl_space_free(right
);
1280 /* Given a space of the form [A -> B] -> [C -> D], return the space A -> C.
1282 __isl_give isl_space
*isl_space_factor_domain(__isl_take isl_space
*space
)
1284 space
= isl_space_domain_factor_domain(space
);
1285 space
= isl_space_range_factor_domain(space
);
1289 /* Given a space of the form [A -> B] -> C, return the space A -> C.
1291 __isl_give isl_space
*isl_space_domain_factor_domain(
1292 __isl_take isl_space
*space
)
1299 if (!isl_space_domain_is_wrapping(space
))
1300 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1301 "domain not a product", return isl_space_free(space
));
1303 nested
= space
->nested
[0];
1304 domain
= isl_space_copy(space
);
1305 domain
= isl_space_drop_dims(domain
, isl_dim_in
,
1306 nested
->n_in
, nested
->n_out
);
1308 return isl_space_free(space
);
1309 if (nested
->tuple_id
[0]) {
1310 domain
->tuple_id
[0] = isl_id_copy(nested
->tuple_id
[0]);
1311 if (!domain
->tuple_id
[0])
1314 if (nested
->nested
[0]) {
1315 domain
->nested
[0] = isl_space_copy(nested
->nested
[0]);
1316 if (!domain
->nested
[0])
1320 isl_space_free(space
);
1323 isl_space_free(space
);
1324 isl_space_free(domain
);
1328 /* Given a space of the form [A -> B] -> C, return the space B -> C.
1330 __isl_give isl_space
*isl_space_domain_factor_range(
1331 __isl_take isl_space
*space
)
1338 if (!isl_space_domain_is_wrapping(space
))
1339 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1340 "domain not a product", return isl_space_free(space
));
1342 nested
= space
->nested
[0];
1343 range
= isl_space_copy(space
);
1344 range
= isl_space_drop_dims(range
, isl_dim_in
, 0, nested
->n_in
);
1346 return isl_space_free(space
);
1347 if (nested
->tuple_id
[1]) {
1348 range
->tuple_id
[0] = isl_id_copy(nested
->tuple_id
[1]);
1349 if (!range
->tuple_id
[0])
1352 if (nested
->nested
[1]) {
1353 range
->nested
[0] = isl_space_copy(nested
->nested
[1]);
1354 if (!range
->nested
[0])
1358 isl_space_free(space
);
1361 isl_space_free(space
);
1362 isl_space_free(range
);
1366 /* Given a space of the form A -> [B -> C], return the space A -> B.
1368 __isl_give isl_space
*isl_space_range_factor_domain(
1369 __isl_take isl_space
*space
)
1376 if (!isl_space_range_is_wrapping(space
))
1377 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1378 "range not a product", return isl_space_free(space
));
1380 nested
= space
->nested
[1];
1381 domain
= isl_space_copy(space
);
1382 domain
= isl_space_drop_dims(domain
, isl_dim_out
,
1383 nested
->n_in
, nested
->n_out
);
1385 return isl_space_free(space
);
1386 if (nested
->tuple_id
[0]) {
1387 domain
->tuple_id
[1] = isl_id_copy(nested
->tuple_id
[0]);
1388 if (!domain
->tuple_id
[1])
1391 if (nested
->nested
[0]) {
1392 domain
->nested
[1] = isl_space_copy(nested
->nested
[0]);
1393 if (!domain
->nested
[1])
1397 isl_space_free(space
);
1400 isl_space_free(space
);
1401 isl_space_free(domain
);
1405 /* Internal function that selects the range of the map that is
1406 * embedded in either a set space or the range of a map space.
1407 * In particular, given a space of the form [A -> B], return the space B.
1408 * Given a space of the form A -> [B -> C], return the space A -> C.
1410 static __isl_give isl_space
*range_factor_range(__isl_take isl_space
*space
)
1418 nested
= space
->nested
[1];
1419 range
= isl_space_copy(space
);
1420 range
= isl_space_drop_dims(range
, isl_dim_out
, 0, nested
->n_in
);
1422 return isl_space_free(space
);
1423 if (nested
->tuple_id
[1]) {
1424 range
->tuple_id
[1] = isl_id_copy(nested
->tuple_id
[1]);
1425 if (!range
->tuple_id
[1])
1428 if (nested
->nested
[1]) {
1429 range
->nested
[1] = isl_space_copy(nested
->nested
[1]);
1430 if (!range
->nested
[1])
1434 isl_space_free(space
);
1437 isl_space_free(space
);
1438 isl_space_free(range
);
1442 /* Given a space of the form A -> [B -> C], return the space A -> C.
1444 __isl_give isl_space
*isl_space_range_factor_range(
1445 __isl_take isl_space
*space
)
1449 if (!isl_space_range_is_wrapping(space
))
1450 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1451 "range not a product", return isl_space_free(space
));
1453 return range_factor_range(space
);
1456 /* Given a space of the form [A -> B], return the space B.
1458 static __isl_give isl_space
*set_factor_range(__isl_take isl_space
*space
)
1462 if (!isl_space_is_wrapping(space
))
1463 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1464 "not a product", return isl_space_free(space
));
1466 return range_factor_range(space
);
1469 /* Given a space of the form [A -> B] -> [C -> D], return the space B -> D.
1470 * Given a space of the form [A -> B], return the space B.
1472 __isl_give isl_space
*isl_space_factor_range(__isl_take isl_space
*space
)
1476 if (isl_space_is_set(space
))
1477 return set_factor_range(space
);
1478 space
= isl_space_domain_factor_range(space
);
1479 space
= isl_space_range_factor_range(space
);
1483 __isl_give isl_space
*isl_space_map_from_set(__isl_take isl_space
*space
)
1486 isl_id
**ids
= NULL
;
1491 ctx
= isl_space_get_ctx(space
);
1492 if (!isl_space_is_set(space
))
1493 isl_die(ctx
, isl_error_invalid
, "not a set space", goto error
);
1494 space
= isl_space_cow(space
);
1497 n_id
= space
->nparam
+ space
->n_out
+ space
->n_out
;
1498 if (n_id
> 0 && space
->ids
) {
1499 ids
= isl_calloc_array(space
->ctx
, isl_id
*, n_id
);
1502 get_ids(space
, isl_dim_param
, 0, space
->nparam
, ids
);
1503 get_ids(space
, isl_dim_out
, 0, space
->n_out
,
1504 ids
+ space
->nparam
);
1506 space
->n_in
= space
->n_out
;
1511 space
= copy_ids(space
, isl_dim_out
, 0, space
, isl_dim_in
);
1513 isl_id_free(space
->tuple_id
[0]);
1514 space
->tuple_id
[0] = isl_id_copy(space
->tuple_id
[1]);
1515 isl_space_free(space
->nested
[0]);
1516 space
->nested
[0] = isl_space_copy(space
->nested
[1]);
1519 isl_space_free(space
);
1523 __isl_give isl_space
*isl_space_map_from_domain_and_range(
1524 __isl_take isl_space
*domain
, __isl_take isl_space
*range
)
1526 if (!domain
|| !range
)
1528 if (!isl_space_is_set(domain
))
1529 isl_die(isl_space_get_ctx(domain
), isl_error_invalid
,
1530 "domain is not a set space", goto error
);
1531 if (!isl_space_is_set(range
))
1532 isl_die(isl_space_get_ctx(range
), isl_error_invalid
,
1533 "range is not a set space", goto error
);
1534 return isl_space_join(isl_space_reverse(domain
), range
);
1536 isl_space_free(domain
);
1537 isl_space_free(range
);
1541 static __isl_give isl_space
*set_ids(__isl_take isl_space
*dim
,
1542 enum isl_dim_type type
,
1543 unsigned first
, unsigned n
, __isl_take isl_id
**ids
)
1547 for (i
= 0; i
< n
; ++i
)
1548 dim
= set_id(dim
, type
, first
+ i
, ids
[i
]);
1553 __isl_give isl_space
*isl_space_reverse(__isl_take isl_space
*dim
)
1557 isl_id
**ids
= NULL
;
1562 if (match(dim
, isl_dim_in
, dim
, isl_dim_out
))
1565 dim
= isl_space_cow(dim
);
1569 id
= dim
->tuple_id
[0];
1570 dim
->tuple_id
[0] = dim
->tuple_id
[1];
1571 dim
->tuple_id
[1] = id
;
1573 nested
= dim
->nested
[0];
1574 dim
->nested
[0] = dim
->nested
[1];
1575 dim
->nested
[1] = nested
;
1578 int n_id
= dim
->n_in
+ dim
->n_out
;
1579 ids
= isl_alloc_array(dim
->ctx
, isl_id
*, n_id
);
1582 get_ids(dim
, isl_dim_in
, 0, dim
->n_in
, ids
);
1583 get_ids(dim
, isl_dim_out
, 0, dim
->n_out
, ids
+ dim
->n_in
);
1587 dim
->n_in
= dim
->n_out
;
1591 dim
= set_ids(dim
, isl_dim_out
, 0, dim
->n_out
, ids
);
1592 dim
= set_ids(dim
, isl_dim_in
, 0, dim
->n_in
, ids
+ dim
->n_out
);
1599 isl_space_free(dim
);
1603 __isl_give isl_space
*isl_space_drop_dims(__isl_take isl_space
*dim
,
1604 enum isl_dim_type type
, unsigned first
, unsigned num
)
1612 return isl_space_reset(dim
, type
);
1614 if (!valid_dim_type(type
))
1615 isl_die(dim
->ctx
, isl_error_invalid
,
1616 "cannot drop dimensions of specified type", goto error
);
1618 if (first
+ num
> n(dim
, type
) || first
+ num
< first
)
1619 isl_die(isl_space_get_ctx(dim
), isl_error_invalid
,
1620 "index out of bounds", return isl_space_free(dim
));
1621 dim
= isl_space_cow(dim
);
1625 dim
= extend_ids(dim
);
1628 for (i
= 0; i
< num
; ++i
)
1629 isl_id_free(get_id(dim
, type
, first
+ i
));
1630 for (i
= first
+num
; i
< n(dim
, type
); ++i
)
1631 set_id(dim
, type
, i
- num
, get_id(dim
, type
, i
));
1634 get_ids(dim
, isl_dim_in
, 0, dim
->n_in
,
1635 dim
->ids
+ offset(dim
, isl_dim_in
) - num
);
1637 get_ids(dim
, isl_dim_out
, 0, dim
->n_out
,
1638 dim
->ids
+ offset(dim
, isl_dim_out
) - num
);
1645 case isl_dim_param
: dim
->nparam
-= num
; break;
1646 case isl_dim_in
: dim
->n_in
-= num
; break;
1647 case isl_dim_out
: dim
->n_out
-= num
; break;
1650 dim
= isl_space_reset(dim
, type
);
1651 if (type
== isl_dim_param
) {
1652 if (dim
&& dim
->nested
[0] &&
1653 !(dim
->nested
[0] = isl_space_drop_dims(dim
->nested
[0],
1654 isl_dim_param
, first
, num
)))
1656 if (dim
&& dim
->nested
[1] &&
1657 !(dim
->nested
[1] = isl_space_drop_dims(dim
->nested
[1],
1658 isl_dim_param
, first
, num
)))
1663 isl_space_free(dim
);
1667 __isl_give isl_space
*isl_space_drop_inputs(__isl_take isl_space
*dim
,
1668 unsigned first
, unsigned n
)
1672 return isl_space_drop_dims(dim
, isl_dim_in
, first
, n
);
1675 __isl_give isl_space
*isl_space_drop_outputs(__isl_take isl_space
*dim
,
1676 unsigned first
, unsigned n
)
1680 return isl_space_drop_dims(dim
, isl_dim_out
, first
, n
);
1683 __isl_give isl_space
*isl_space_domain(__isl_take isl_space
*dim
)
1687 dim
= isl_space_drop_outputs(dim
, 0, dim
->n_out
);
1688 dim
= isl_space_reverse(dim
);
1689 dim
= mark_as_set(dim
);
1693 __isl_give isl_space
*isl_space_from_domain(__isl_take isl_space
*dim
)
1697 if (!isl_space_is_set(dim
))
1698 isl_die(isl_space_get_ctx(dim
), isl_error_invalid
,
1699 "not a set space", goto error
);
1700 dim
= isl_space_reverse(dim
);
1701 dim
= isl_space_reset(dim
, isl_dim_out
);
1704 isl_space_free(dim
);
1708 __isl_give isl_space
*isl_space_range(__isl_take isl_space
*dim
)
1712 dim
= isl_space_drop_inputs(dim
, 0, dim
->n_in
);
1713 dim
= mark_as_set(dim
);
1717 __isl_give isl_space
*isl_space_from_range(__isl_take isl_space
*dim
)
1721 if (!isl_space_is_set(dim
))
1722 isl_die(isl_space_get_ctx(dim
), isl_error_invalid
,
1723 "not a set space", goto error
);
1724 return isl_space_reset(dim
, isl_dim_in
);
1726 isl_space_free(dim
);
1730 /* Given a map space A -> B, return the map space [A -> B] -> A.
1732 __isl_give isl_space
*isl_space_domain_map(__isl_take isl_space
*space
)
1736 domain
= isl_space_from_range(isl_space_domain(isl_space_copy(space
)));
1737 space
= isl_space_from_domain(isl_space_wrap(space
));
1738 space
= isl_space_join(space
, domain
);
1743 /* Given a map space A -> B, return the map space [A -> B] -> B.
1745 __isl_give isl_space
*isl_space_range_map(__isl_take isl_space
*space
)
1749 range
= isl_space_from_range(isl_space_range(isl_space_copy(space
)));
1750 space
= isl_space_from_domain(isl_space_wrap(space
));
1751 space
= isl_space_join(space
, range
);
1756 __isl_give isl_space
*isl_space_params(__isl_take isl_space
*space
)
1758 if (isl_space_is_params(space
))
1760 space
= isl_space_drop_dims(space
,
1761 isl_dim_in
, 0, isl_space_dim(space
, isl_dim_in
));
1762 space
= isl_space_drop_dims(space
,
1763 isl_dim_out
, 0, isl_space_dim(space
, isl_dim_out
));
1764 space
= mark_as_params(space
);
1768 __isl_give isl_space
*isl_space_set_from_params(__isl_take isl_space
*space
)
1772 if (!isl_space_is_params(space
))
1773 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1774 "not a parameter space", goto error
);
1775 return isl_space_reset(space
, isl_dim_set
);
1777 isl_space_free(space
);
1781 __isl_give isl_space
*isl_space_as_set_space(__isl_take isl_space
*dim
)
1783 dim
= isl_space_cow(dim
);
1787 dim
->n_out
+= dim
->n_in
;
1789 dim
= isl_space_reset(dim
, isl_dim_in
);
1790 dim
= isl_space_reset(dim
, isl_dim_out
);
1795 __isl_give isl_space
*isl_space_underlying(__isl_take isl_space
*dim
,
1803 dim
->nparam
== 0 && dim
->n_in
== 0 && dim
->n_id
== 0)
1804 return isl_space_reset(isl_space_reset(dim
, isl_dim_in
), isl_dim_out
);
1805 dim
= isl_space_cow(dim
);
1808 dim
->n_out
+= dim
->nparam
+ dim
->n_in
+ n_div
;
1812 for (i
= 0; i
< dim
->n_id
; ++i
)
1813 isl_id_free(get_id(dim
, isl_dim_out
, i
));
1815 dim
= isl_space_reset(dim
, isl_dim_in
);
1816 dim
= isl_space_reset(dim
, isl_dim_out
);
1821 /* Are the two spaces the same, including positions and names of parameters?
1823 isl_bool
isl_space_is_equal(__isl_keep isl_space
*dim1
,
1824 __isl_keep isl_space
*dim2
)
1827 return isl_bool_error
;
1829 return isl_bool_true
;
1830 return match(dim1
, isl_dim_param
, dim2
, isl_dim_param
) &&
1831 isl_space_tuple_is_equal(dim1
, isl_dim_in
, dim2
, isl_dim_in
) &&
1832 isl_space_tuple_is_equal(dim1
, isl_dim_out
, dim2
, isl_dim_out
);
1835 /* Is space1 equal to the domain of space2?
1837 * In the internal version we also allow space2 to be the space of a set,
1838 * provided space1 is a parameter space.
1840 isl_bool
isl_space_is_domain_internal(__isl_keep isl_space
*space1
,
1841 __isl_keep isl_space
*space2
)
1843 if (!space1
|| !space2
)
1844 return isl_bool_error
;
1845 if (!isl_space_is_set(space1
))
1846 return isl_bool_false
;
1847 return match(space1
, isl_dim_param
, space2
, isl_dim_param
) &&
1848 isl_space_tuple_is_equal(space1
, isl_dim_set
,
1849 space2
, isl_dim_in
);
1852 /* Is space1 equal to the domain of space2?
1854 isl_bool
isl_space_is_domain(__isl_keep isl_space
*space1
,
1855 __isl_keep isl_space
*space2
)
1858 return isl_bool_error
;
1859 if (!isl_space_is_map(space2
))
1860 return isl_bool_false
;
1861 return isl_space_is_domain_internal(space1
, space2
);
1864 /* Is space1 equal to the range of space2?
1866 * In the internal version, space2 is allowed to be the space of a set,
1867 * in which case it should be equal to space1.
1869 isl_bool
isl_space_is_range_internal(__isl_keep isl_space
*space1
,
1870 __isl_keep isl_space
*space2
)
1872 if (!space1
|| !space2
)
1873 return isl_bool_error
;
1874 if (!isl_space_is_set(space1
))
1875 return isl_bool_false
;
1876 return match(space1
, isl_dim_param
, space2
, isl_dim_param
) &&
1877 isl_space_tuple_is_equal(space1
, isl_dim_set
,
1878 space2
, isl_dim_out
);
1881 /* Is space1 equal to the range of space2?
1883 isl_bool
isl_space_is_range(__isl_keep isl_space
*space1
,
1884 __isl_keep isl_space
*space2
)
1887 return isl_bool_error
;
1888 if (!isl_space_is_map(space2
))
1889 return isl_bool_false
;
1890 return isl_space_is_range_internal(space1
, space2
);
1893 int isl_space_compatible_internal(__isl_keep isl_space
*dim1
,
1894 __isl_keep isl_space
*dim2
)
1896 return dim1
->nparam
== dim2
->nparam
&&
1897 dim1
->n_in
+ dim1
->n_out
== dim2
->n_in
+ dim2
->n_out
;
1900 int isl_space_compatible(__isl_keep isl_space
*space1
,
1901 __isl_keep isl_space
*space2
)
1903 return isl_space_compatible_internal(space1
, space2
);
1906 /* Update "hash" by hashing in "space".
1907 * Changes in this function should be reflected in isl_hash_space_domain.
1909 static uint32_t isl_hash_space(uint32_t hash
, __isl_keep isl_space
*space
)
1917 isl_hash_byte(hash
, space
->nparam
% 256);
1918 isl_hash_byte(hash
, space
->n_in
% 256);
1919 isl_hash_byte(hash
, space
->n_out
% 256);
1921 for (i
= 0; i
< space
->nparam
; ++i
) {
1922 id
= get_id(space
, isl_dim_param
, i
);
1923 hash
= isl_hash_id(hash
, id
);
1926 id
= tuple_id(space
, isl_dim_in
);
1927 hash
= isl_hash_id(hash
, id
);
1928 id
= tuple_id(space
, isl_dim_out
);
1929 hash
= isl_hash_id(hash
, id
);
1931 hash
= isl_hash_space(hash
, space
->nested
[0]);
1932 hash
= isl_hash_space(hash
, space
->nested
[1]);
1937 /* Update "hash" by hashing in the domain of "space".
1938 * The result of this function is equal to the result of applying
1939 * isl_hash_space to the domain of "space".
1941 static uint32_t isl_hash_space_domain(uint32_t hash
,
1942 __isl_keep isl_space
*space
)
1950 isl_hash_byte(hash
, space
->nparam
% 256);
1951 isl_hash_byte(hash
, 0);
1952 isl_hash_byte(hash
, space
->n_in
% 256);
1954 for (i
= 0; i
< space
->nparam
; ++i
) {
1955 id
= get_id(space
, isl_dim_param
, i
);
1956 hash
= isl_hash_id(hash
, id
);
1959 hash
= isl_hash_id(hash
, &isl_id_none
);
1960 id
= tuple_id(space
, isl_dim_in
);
1961 hash
= isl_hash_id(hash
, id
);
1963 hash
= isl_hash_space(hash
, space
->nested
[0]);
1968 uint32_t isl_space_get_hash(__isl_keep isl_space
*dim
)
1975 hash
= isl_hash_init();
1976 hash
= isl_hash_space(hash
, dim
);
1981 /* Return the hash value of the domain of "space".
1982 * That is, isl_space_get_domain_hash(space) is equal to
1983 * isl_space_get_hash(isl_space_domain(space)).
1985 uint32_t isl_space_get_domain_hash(__isl_keep isl_space
*space
)
1992 hash
= isl_hash_init();
1993 hash
= isl_hash_space_domain(hash
, space
);
1998 isl_bool
isl_space_is_wrapping(__isl_keep isl_space
*dim
)
2001 return isl_bool_error
;
2003 if (!isl_space_is_set(dim
))
2004 return isl_bool_false
;
2006 return dim
->nested
[1] != NULL
;
2009 /* Is "space" the space of a map where the domain is a wrapped map space?
2011 isl_bool
isl_space_domain_is_wrapping(__isl_keep isl_space
*space
)
2014 return isl_bool_error
;
2016 if (isl_space_is_set(space
))
2017 return isl_bool_false
;
2019 return space
->nested
[0] != NULL
;
2022 /* Is "space" the space of a map where the range is a wrapped map space?
2024 isl_bool
isl_space_range_is_wrapping(__isl_keep isl_space
*space
)
2027 return isl_bool_error
;
2029 if (isl_space_is_set(space
))
2030 return isl_bool_false
;
2032 return space
->nested
[1] != NULL
;
2035 __isl_give isl_space
*isl_space_wrap(__isl_take isl_space
*dim
)
2042 wrap
= isl_space_set_alloc(dim
->ctx
,
2043 dim
->nparam
, dim
->n_in
+ dim
->n_out
);
2045 wrap
= copy_ids(wrap
, isl_dim_param
, 0, dim
, isl_dim_param
);
2046 wrap
= copy_ids(wrap
, isl_dim_set
, 0, dim
, isl_dim_in
);
2047 wrap
= copy_ids(wrap
, isl_dim_set
, dim
->n_in
, dim
, isl_dim_out
);
2052 wrap
->nested
[1] = dim
;
2056 isl_space_free(dim
);
2060 __isl_give isl_space
*isl_space_unwrap(__isl_take isl_space
*dim
)
2067 if (!isl_space_is_wrapping(dim
))
2068 isl_die(dim
->ctx
, isl_error_invalid
, "not a wrapping space",
2071 unwrap
= isl_space_copy(dim
->nested
[1]);
2072 isl_space_free(dim
);
2076 isl_space_free(dim
);
2080 int isl_space_is_named_or_nested(__isl_keep isl_space
*dim
, enum isl_dim_type type
)
2082 if (type
!= isl_dim_in
&& type
!= isl_dim_out
)
2086 if (dim
->tuple_id
[type
- isl_dim_in
])
2088 if (dim
->nested
[type
- isl_dim_in
])
2093 int isl_space_may_be_set(__isl_keep isl_space
*dim
)
2097 if (isl_space_is_set(dim
))
2099 if (isl_space_dim(dim
, isl_dim_in
) != 0)
2101 if (isl_space_is_named_or_nested(dim
, isl_dim_in
))
2106 __isl_give isl_space
*isl_space_reset(__isl_take isl_space
*dim
,
2107 enum isl_dim_type type
)
2109 if (!isl_space_is_named_or_nested(dim
, type
))
2112 dim
= isl_space_cow(dim
);
2116 isl_id_free(dim
->tuple_id
[type
- isl_dim_in
]);
2117 dim
->tuple_id
[type
- isl_dim_in
] = NULL
;
2118 isl_space_free(dim
->nested
[type
- isl_dim_in
]);
2119 dim
->nested
[type
- isl_dim_in
] = NULL
;
2124 __isl_give isl_space
*isl_space_flatten(__isl_take isl_space
*dim
)
2128 if (!dim
->nested
[0] && !dim
->nested
[1])
2132 dim
= isl_space_reset(dim
, isl_dim_in
);
2133 if (dim
&& dim
->nested
[1])
2134 dim
= isl_space_reset(dim
, isl_dim_out
);
2139 __isl_give isl_space
*isl_space_flatten_domain(__isl_take isl_space
*dim
)
2143 if (!dim
->nested
[0])
2146 return isl_space_reset(dim
, isl_dim_in
);
2149 __isl_give isl_space
*isl_space_flatten_range(__isl_take isl_space
*dim
)
2153 if (!dim
->nested
[1])
2156 return isl_space_reset(dim
, isl_dim_out
);
2159 /* Replace the dimensions of the given type of dst by those of src.
2161 __isl_give isl_space
*isl_space_replace(__isl_take isl_space
*dst
,
2162 enum isl_dim_type type
, __isl_keep isl_space
*src
)
2164 dst
= isl_space_cow(dst
);
2169 dst
= isl_space_drop_dims(dst
, type
, 0, isl_space_dim(dst
, type
));
2170 dst
= isl_space_add_dims(dst
, type
, isl_space_dim(src
, type
));
2171 dst
= copy_ids(dst
, type
, 0, src
, type
);
2173 if (dst
&& type
== isl_dim_param
) {
2175 for (i
= 0; i
<= 1; ++i
) {
2176 if (!dst
->nested
[i
])
2178 dst
->nested
[i
] = isl_space_replace(dst
->nested
[i
],
2180 if (!dst
->nested
[i
])
2187 isl_space_free(dst
);
2191 /* Given a dimension specification "dim" of a set, create a dimension
2192 * specification for the lift of the set. In particular, the result
2193 * is of the form [dim -> local[..]], with n_local variables in the
2194 * range of the wrapped map.
2196 __isl_give isl_space
*isl_space_lift(__isl_take isl_space
*dim
, unsigned n_local
)
2198 isl_space
*local_dim
;
2203 local_dim
= isl_space_dup(dim
);
2204 local_dim
= isl_space_drop_dims(local_dim
, isl_dim_set
, 0, dim
->n_out
);
2205 local_dim
= isl_space_add_dims(local_dim
, isl_dim_set
, n_local
);
2206 local_dim
= isl_space_set_tuple_name(local_dim
, isl_dim_set
, "local");
2207 dim
= isl_space_join(isl_space_from_domain(dim
),
2208 isl_space_from_range(local_dim
));
2209 dim
= isl_space_wrap(dim
);
2210 dim
= isl_space_set_tuple_name(dim
, isl_dim_set
, "lifted");
2215 isl_bool
isl_space_can_zip(__isl_keep isl_space
*dim
)
2218 return isl_bool_error
;
2220 return dim
->nested
[0] && dim
->nested
[1];
2223 __isl_give isl_space
*isl_space_zip(__isl_take isl_space
*dim
)
2225 isl_space
*dom
, *ran
;
2226 isl_space
*dom_dom
, *dom_ran
, *ran_dom
, *ran_ran
;
2228 if (!isl_space_can_zip(dim
))
2229 isl_die(dim
->ctx
, isl_error_invalid
, "dim cannot be zipped",
2234 dom
= isl_space_unwrap(isl_space_domain(isl_space_copy(dim
)));
2235 ran
= isl_space_unwrap(isl_space_range(dim
));
2236 dom_dom
= isl_space_domain(isl_space_copy(dom
));
2237 dom_ran
= isl_space_range(dom
);
2238 ran_dom
= isl_space_domain(isl_space_copy(ran
));
2239 ran_ran
= isl_space_range(ran
);
2240 dom
= isl_space_join(isl_space_from_domain(dom_dom
),
2241 isl_space_from_range(ran_dom
));
2242 ran
= isl_space_join(isl_space_from_domain(dom_ran
),
2243 isl_space_from_range(ran_ran
));
2244 return isl_space_join(isl_space_from_domain(isl_space_wrap(dom
)),
2245 isl_space_from_range(isl_space_wrap(ran
)));
2247 isl_space_free(dim
);
2251 /* Can we apply isl_space_curry to "space"?
2252 * That is, does it have a nested relation in its domain?
2254 isl_bool
isl_space_can_curry(__isl_keep isl_space
*space
)
2257 return isl_bool_error
;
2259 return !!space
->nested
[0];
2262 /* Given a space (A -> B) -> C, return the corresponding space
2265 __isl_give isl_space
*isl_space_curry(__isl_take isl_space
*space
)
2267 isl_space
*dom
, *ran
;
2268 isl_space
*dom_dom
, *dom_ran
;
2273 if (!isl_space_can_curry(space
))
2274 isl_die(space
->ctx
, isl_error_invalid
,
2275 "space cannot be curried", goto error
);
2277 dom
= isl_space_unwrap(isl_space_domain(isl_space_copy(space
)));
2278 ran
= isl_space_range(space
);
2279 dom_dom
= isl_space_domain(isl_space_copy(dom
));
2280 dom_ran
= isl_space_range(dom
);
2281 ran
= isl_space_join(isl_space_from_domain(dom_ran
),
2282 isl_space_from_range(ran
));
2283 return isl_space_join(isl_space_from_domain(dom_dom
),
2284 isl_space_from_range(isl_space_wrap(ran
)));
2286 isl_space_free(space
);
2290 /* Can isl_space_range_curry be applied to "space"?
2291 * That is, does it have a nested relation in its range,
2292 * the domain of which is itself a nested relation?
2294 isl_bool
isl_space_can_range_curry(__isl_keep isl_space
*space
)
2299 return isl_bool_error
;
2300 can
= isl_space_range_is_wrapping(space
);
2301 if (can
< 0 || !can
)
2303 return isl_space_can_curry(space
->nested
[1]);
2306 /* Given a space A -> ((B -> C) -> D), return the corresponding space
2307 * A -> (B -> (C -> D)).
2309 __isl_give isl_space
*isl_space_range_curry(__isl_take isl_space
*space
)
2314 if (!isl_space_can_range_curry(space
))
2315 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
2316 "space range cannot be curried",
2317 return isl_space_free(space
));
2319 space
= isl_space_cow(space
);
2322 space
->nested
[1] = isl_space_curry(space
->nested
[1]);
2323 if (!space
->nested
[1])
2324 return isl_space_free(space
);
2329 /* Can we apply isl_space_uncurry to "space"?
2330 * That is, does it have a nested relation in its range?
2332 isl_bool
isl_space_can_uncurry(__isl_keep isl_space
*space
)
2335 return isl_bool_error
;
2337 return !!space
->nested
[1];
2340 /* Given a space A -> (B -> C), return the corresponding space
2343 __isl_give isl_space
*isl_space_uncurry(__isl_take isl_space
*space
)
2345 isl_space
*dom
, *ran
;
2346 isl_space
*ran_dom
, *ran_ran
;
2351 if (!isl_space_can_uncurry(space
))
2352 isl_die(space
->ctx
, isl_error_invalid
,
2353 "space cannot be uncurried",
2354 return isl_space_free(space
));
2356 dom
= isl_space_domain(isl_space_copy(space
));
2357 ran
= isl_space_unwrap(isl_space_range(space
));
2358 ran_dom
= isl_space_domain(isl_space_copy(ran
));
2359 ran_ran
= isl_space_range(ran
);
2360 dom
= isl_space_join(isl_space_from_domain(dom
),
2361 isl_space_from_range(ran_dom
));
2362 return isl_space_join(isl_space_from_domain(isl_space_wrap(dom
)),
2363 isl_space_from_range(ran_ran
));
2366 int isl_space_has_named_params(__isl_keep isl_space
*dim
)
2373 if (dim
->nparam
== 0)
2375 off
= isl_space_offset(dim
, isl_dim_param
);
2376 if (off
+ dim
->nparam
> dim
->n_id
)
2378 for (i
= 0; i
< dim
->nparam
; ++i
)
2379 if (!dim
->ids
[off
+ i
])
2384 /* Align the initial parameters of dim1 to match the order in dim2.
2386 __isl_give isl_space
*isl_space_align_params(__isl_take isl_space
*dim1
,
2387 __isl_take isl_space
*dim2
)
2389 isl_reordering
*exp
;
2391 if (!isl_space_has_named_params(dim1
) || !isl_space_has_named_params(dim2
))
2392 isl_die(isl_space_get_ctx(dim1
), isl_error_invalid
,
2393 "parameter alignment requires named parameters",
2396 dim2
= isl_space_params(dim2
);
2397 exp
= isl_parameter_alignment_reordering(dim1
, dim2
);
2398 exp
= isl_reordering_extend_space(exp
, dim1
);
2399 isl_space_free(dim2
);
2402 dim1
= isl_space_copy(exp
->dim
);
2403 isl_reordering_free(exp
);
2406 isl_space_free(dim1
);
2407 isl_space_free(dim2
);
2411 /* Given the space of set (domain), construct a space for a map
2412 * with as domain the given space and as range the range of "model".
2414 __isl_give isl_space
*isl_space_extend_domain_with_range(
2415 __isl_take isl_space
*space
, __isl_take isl_space
*model
)
2420 space
= isl_space_from_domain(space
);
2421 space
= isl_space_add_dims(space
, isl_dim_out
,
2422 isl_space_dim(model
, isl_dim_out
));
2423 if (isl_space_has_tuple_id(model
, isl_dim_out
))
2424 space
= isl_space_set_tuple_id(space
, isl_dim_out
,
2425 isl_space_get_tuple_id(model
, isl_dim_out
));
2428 if (model
->nested
[1]) {
2429 isl_space
*nested
= isl_space_copy(model
->nested
[1]);
2430 int n_nested
, n_space
;
2431 nested
= isl_space_align_params(nested
, isl_space_copy(space
));
2432 n_nested
= isl_space_dim(nested
, isl_dim_param
);
2433 n_space
= isl_space_dim(space
, isl_dim_param
);
2434 if (n_nested
> n_space
)
2435 nested
= isl_space_drop_dims(nested
, isl_dim_param
,
2436 n_space
, n_nested
- n_space
);
2439 space
->nested
[1] = nested
;
2441 isl_space_free(model
);
2444 isl_space_free(model
);
2445 isl_space_free(space
);
2449 /* Compare the "type" dimensions of two isl_spaces.
2451 * The order is fairly arbitrary.
2453 static int isl_space_cmp_type(__isl_keep isl_space
*space1
,
2454 __isl_keep isl_space
*space2
, enum isl_dim_type type
)
2457 isl_space
*nested1
, *nested2
;
2459 if (isl_space_dim(space1
, type
) != isl_space_dim(space2
, type
))
2460 return isl_space_dim(space1
, type
) -
2461 isl_space_dim(space2
, type
);
2463 cmp
= isl_id_cmp(tuple_id(space1
, type
), tuple_id(space2
, type
));
2467 nested1
= nested(space1
, type
);
2468 nested2
= nested(space2
, type
);
2469 if (!nested1
!= !nested2
)
2470 return !nested1
- !nested2
;
2473 return isl_space_cmp(nested1
, nested2
);
2478 /* Compare two isl_spaces.
2480 * The order is fairly arbitrary.
2482 int isl_space_cmp(__isl_keep isl_space
*space1
, __isl_keep isl_space
*space2
)
2487 if (space1
== space2
)
2494 cmp
= isl_space_cmp_type(space1
, space2
, isl_dim_param
);
2497 cmp
= isl_space_cmp_type(space1
, space2
, isl_dim_in
);
2500 cmp
= isl_space_cmp_type(space1
, space2
, isl_dim_out
);
2504 if (!space1
->ids
&& !space2
->ids
)
2507 for (i
= 0; i
< n(space1
, isl_dim_param
); ++i
) {
2508 cmp
= isl_id_cmp(get_id(space1
, isl_dim_param
, i
),
2509 get_id(space2
, isl_dim_param
, i
));