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 isl_bool
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
)
839 return isl_bool_true
;
841 if (!isl_space_tuple_is_equal(space1
, type1
, space2
, type2
))
842 return isl_bool_false
;
844 if (!space1
->ids
&& !space2
->ids
)
845 return isl_bool_true
;
847 for (i
= 0; i
< n(space1
, type1
); ++i
) {
848 if (get_id(space1
, type1
, i
) != get_id(space2
, type2
, i
))
849 return isl_bool_false
;
851 return isl_bool_true
;
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 static __isl_give isl_space
*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_extend(__isl_take isl_space
*space
,
921 unsigned nparam
, unsigned n_in
, unsigned n_out
)
923 return space_extend(space
, nparam
, n_in
, n_out
);
926 __isl_give isl_space
*isl_space_add_dims(__isl_take isl_space
*space
,
927 enum isl_dim_type type
, unsigned n
)
929 space
= isl_space_reset(space
, type
);
934 space
= space_extend(space
,
935 space
->nparam
+ n
, space
->n_in
, space
->n_out
);
936 if (space
&& space
->nested
[0] &&
937 !(space
->nested
[0] = isl_space_add_dims(space
->nested
[0],
940 if (space
&& space
->nested
[1] &&
941 !(space
->nested
[1] = isl_space_add_dims(space
->nested
[1],
946 return space_extend(space
,
947 space
->nparam
, space
->n_in
+ n
, space
->n_out
);
949 return space_extend(space
,
950 space
->nparam
, space
->n_in
, space
->n_out
+ n
);
952 isl_die(space
->ctx
, isl_error_invalid
,
953 "cannot add dimensions of specified type", goto error
);
956 isl_space_free(space
);
960 static int valid_dim_type(enum isl_dim_type type
)
972 /* Insert "n" dimensions of type "type" at position "pos".
973 * If we are inserting parameters, then they are also inserted in
976 __isl_give isl_space
*isl_space_insert_dims(__isl_take isl_space
*dim
,
977 enum isl_dim_type type
, unsigned pos
, unsigned n
)
984 return isl_space_reset(dim
, type
);
986 if (!valid_dim_type(type
))
987 isl_die(dim
->ctx
, isl_error_invalid
,
988 "cannot insert dimensions of specified type",
991 isl_assert(dim
->ctx
, pos
<= isl_space_dim(dim
, type
), goto error
);
993 dim
= isl_space_cow(dim
);
998 enum isl_dim_type t
, o
= isl_dim_param
;
1001 ids
= isl_calloc_array(dim
->ctx
, isl_id
*,
1002 dim
->nparam
+ dim
->n_in
+ dim
->n_out
+ n
);
1006 s
[isl_dim_param
- o
] = dim
->nparam
;
1007 s
[isl_dim_in
- o
] = dim
->n_in
;
1008 s
[isl_dim_out
- o
] = dim
->n_out
;
1009 for (t
= isl_dim_param
; t
<= isl_dim_out
; ++t
) {
1011 get_ids(dim
, t
, 0, s
[t
- o
], ids
+ off
);
1014 get_ids(dim
, t
, 0, pos
, ids
+ off
);
1016 get_ids(dim
, t
, pos
, s
[t
- o
] - pos
, ids
+ off
);
1017 off
+= s
[t
- o
] - pos
;
1022 dim
->n_id
= dim
->nparam
+ dim
->n_in
+ dim
->n_out
+ n
;
1025 case isl_dim_param
: dim
->nparam
+= n
; break;
1026 case isl_dim_in
: dim
->n_in
+= n
; break;
1027 case isl_dim_out
: dim
->n_out
+= n
; break;
1030 dim
= isl_space_reset(dim
, type
);
1032 if (type
== isl_dim_param
) {
1033 if (dim
&& dim
->nested
[0] &&
1034 !(dim
->nested
[0] = isl_space_insert_dims(dim
->nested
[0],
1035 isl_dim_param
, pos
, n
)))
1037 if (dim
&& dim
->nested
[1] &&
1038 !(dim
->nested
[1] = isl_space_insert_dims(dim
->nested
[1],
1039 isl_dim_param
, pos
, n
)))
1045 isl_space_free(dim
);
1049 __isl_give isl_space
*isl_space_move_dims(__isl_take isl_space
*dim
,
1050 enum isl_dim_type dst_type
, unsigned dst_pos
,
1051 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
1058 dim
= isl_space_reset(dim
, src_type
);
1059 return isl_space_reset(dim
, dst_type
);
1062 isl_assert(dim
->ctx
, src_pos
+ n
<= isl_space_dim(dim
, src_type
),
1065 if (dst_type
== src_type
&& dst_pos
== src_pos
)
1068 isl_assert(dim
->ctx
, dst_type
!= src_type
, goto error
);
1070 dim
= isl_space_reset(dim
, src_type
);
1071 dim
= isl_space_reset(dim
, dst_type
);
1073 dim
= isl_space_cow(dim
);
1079 enum isl_dim_type t
, o
= isl_dim_param
;
1082 ids
= isl_calloc_array(dim
->ctx
, isl_id
*,
1083 dim
->nparam
+ dim
->n_in
+ dim
->n_out
);
1087 s
[isl_dim_param
- o
] = dim
->nparam
;
1088 s
[isl_dim_in
- o
] = dim
->n_in
;
1089 s
[isl_dim_out
- o
] = dim
->n_out
;
1090 for (t
= isl_dim_param
; t
<= isl_dim_out
; ++t
) {
1091 if (t
== dst_type
) {
1092 get_ids(dim
, t
, 0, dst_pos
, ids
+ off
);
1094 get_ids(dim
, src_type
, src_pos
, n
, ids
+ off
);
1096 get_ids(dim
, t
, dst_pos
, s
[t
- o
] - dst_pos
,
1098 off
+= s
[t
- o
] - dst_pos
;
1099 } else if (t
== src_type
) {
1100 get_ids(dim
, t
, 0, src_pos
, ids
+ off
);
1102 get_ids(dim
, t
, src_pos
+ n
,
1103 s
[t
- o
] - src_pos
- n
, ids
+ off
);
1104 off
+= s
[t
- o
] - src_pos
- n
;
1106 get_ids(dim
, t
, 0, s
[t
- o
], ids
+ off
);
1112 dim
->n_id
= dim
->nparam
+ dim
->n_in
+ dim
->n_out
;
1116 case isl_dim_param
: dim
->nparam
+= n
; break;
1117 case isl_dim_in
: dim
->n_in
+= n
; break;
1118 case isl_dim_out
: dim
->n_out
+= n
; break;
1123 case isl_dim_param
: dim
->nparam
-= n
; break;
1124 case isl_dim_in
: dim
->n_in
-= n
; break;
1125 case isl_dim_out
: dim
->n_out
-= n
; break;
1129 if (dst_type
!= isl_dim_param
&& src_type
!= isl_dim_param
)
1132 for (i
= 0; i
< 2; ++i
) {
1133 if (!dim
->nested
[i
])
1135 dim
->nested
[i
] = isl_space_replace(dim
->nested
[i
],
1136 isl_dim_param
, dim
);
1137 if (!dim
->nested
[i
])
1143 isl_space_free(dim
);
1147 /* Check that "space1" and "space2" have the same parameters,
1148 * reporting an error if they do not.
1150 isl_stat
isl_space_check_equal_params(__isl_keep isl_space
*space1
,
1151 __isl_keep isl_space
*space2
)
1155 equal
= match(space1
, isl_dim_param
, space2
, isl_dim_param
);
1157 return isl_stat_error
;
1159 isl_die(isl_space_get_ctx(space1
), isl_error_invalid
,
1160 "parameters need to match", return isl_stat_error
);
1164 __isl_give isl_space
*isl_space_join(__isl_take isl_space
*left
,
1165 __isl_take isl_space
*right
)
1169 if (isl_space_check_equal_params(left
, right
) < 0)
1172 isl_assert(left
->ctx
,
1173 isl_space_tuple_is_equal(left
, isl_dim_out
, right
, isl_dim_in
),
1176 dim
= isl_space_alloc(left
->ctx
, left
->nparam
, left
->n_in
, right
->n_out
);
1180 dim
= copy_ids(dim
, isl_dim_param
, 0, left
, isl_dim_param
);
1181 dim
= copy_ids(dim
, isl_dim_in
, 0, left
, isl_dim_in
);
1182 dim
= copy_ids(dim
, isl_dim_out
, 0, right
, isl_dim_out
);
1184 if (dim
&& left
->tuple_id
[0] &&
1185 !(dim
->tuple_id
[0] = isl_id_copy(left
->tuple_id
[0])))
1187 if (dim
&& right
->tuple_id
[1] &&
1188 !(dim
->tuple_id
[1] = isl_id_copy(right
->tuple_id
[1])))
1190 if (dim
&& left
->nested
[0] &&
1191 !(dim
->nested
[0] = isl_space_copy(left
->nested
[0])))
1193 if (dim
&& right
->nested
[1] &&
1194 !(dim
->nested
[1] = isl_space_copy(right
->nested
[1])))
1197 isl_space_free(left
);
1198 isl_space_free(right
);
1202 isl_space_free(left
);
1203 isl_space_free(right
);
1207 /* Given two map spaces { A -> C } and { B -> D }, construct the space
1208 * { [A -> B] -> [C -> D] }.
1209 * Given two set spaces { A } and { B }, construct the space { [A -> B] }.
1211 __isl_give isl_space
*isl_space_product(__isl_take isl_space
*left
,
1212 __isl_take isl_space
*right
)
1214 isl_space
*dom1
, *dom2
, *nest1
, *nest2
;
1217 if (!left
|| !right
)
1220 is_set
= isl_space_is_set(left
);
1221 if (is_set
!= isl_space_is_set(right
))
1222 isl_die(isl_space_get_ctx(left
), isl_error_invalid
,
1223 "expecting either two set spaces or two map spaces",
1226 return isl_space_range_product(left
, right
);
1228 if (isl_space_check_equal_params(left
, right
) < 0)
1231 dom1
= isl_space_domain(isl_space_copy(left
));
1232 dom2
= isl_space_domain(isl_space_copy(right
));
1233 nest1
= isl_space_wrap(isl_space_join(isl_space_reverse(dom1
), dom2
));
1235 dom1
= isl_space_range(left
);
1236 dom2
= isl_space_range(right
);
1237 nest2
= isl_space_wrap(isl_space_join(isl_space_reverse(dom1
), dom2
));
1239 return isl_space_join(isl_space_reverse(nest1
), nest2
);
1241 isl_space_free(left
);
1242 isl_space_free(right
);
1246 /* Given two spaces { A -> C } and { B -> C }, construct the space
1249 __isl_give isl_space
*isl_space_domain_product(__isl_take isl_space
*left
,
1250 __isl_take isl_space
*right
)
1252 isl_space
*ran
, *dom1
, *dom2
, *nest
;
1254 if (isl_space_check_equal_params(left
, right
) < 0)
1257 if (!isl_space_tuple_is_equal(left
, isl_dim_out
, right
, isl_dim_out
))
1258 isl_die(left
->ctx
, isl_error_invalid
,
1259 "ranges need to match", goto error
);
1261 ran
= isl_space_range(isl_space_copy(left
));
1263 dom1
= isl_space_domain(left
);
1264 dom2
= isl_space_domain(right
);
1265 nest
= isl_space_wrap(isl_space_join(isl_space_reverse(dom1
), dom2
));
1267 return isl_space_join(isl_space_reverse(nest
), ran
);
1269 isl_space_free(left
);
1270 isl_space_free(right
);
1274 __isl_give isl_space
*isl_space_range_product(__isl_take isl_space
*left
,
1275 __isl_take isl_space
*right
)
1277 isl_space
*dom
, *ran1
, *ran2
, *nest
;
1279 if (isl_space_check_equal_params(left
, right
) < 0)
1282 if (!isl_space_tuple_is_equal(left
, isl_dim_in
, right
, isl_dim_in
))
1283 isl_die(left
->ctx
, isl_error_invalid
,
1284 "domains need to match", goto error
);
1286 dom
= isl_space_domain(isl_space_copy(left
));
1288 ran1
= isl_space_range(left
);
1289 ran2
= isl_space_range(right
);
1290 nest
= isl_space_wrap(isl_space_join(isl_space_reverse(ran1
), ran2
));
1292 return isl_space_join(isl_space_reverse(dom
), nest
);
1294 isl_space_free(left
);
1295 isl_space_free(right
);
1299 /* Given a space of the form [A -> B] -> [C -> D], return the space A -> C.
1301 __isl_give isl_space
*isl_space_factor_domain(__isl_take isl_space
*space
)
1303 space
= isl_space_domain_factor_domain(space
);
1304 space
= isl_space_range_factor_domain(space
);
1308 /* Given a space of the form [A -> B] -> C, return the space A -> C.
1310 __isl_give isl_space
*isl_space_domain_factor_domain(
1311 __isl_take isl_space
*space
)
1318 if (!isl_space_domain_is_wrapping(space
))
1319 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1320 "domain not a product", return isl_space_free(space
));
1322 nested
= space
->nested
[0];
1323 domain
= isl_space_copy(space
);
1324 domain
= isl_space_drop_dims(domain
, isl_dim_in
,
1325 nested
->n_in
, nested
->n_out
);
1327 return isl_space_free(space
);
1328 if (nested
->tuple_id
[0]) {
1329 domain
->tuple_id
[0] = isl_id_copy(nested
->tuple_id
[0]);
1330 if (!domain
->tuple_id
[0])
1333 if (nested
->nested
[0]) {
1334 domain
->nested
[0] = isl_space_copy(nested
->nested
[0]);
1335 if (!domain
->nested
[0])
1339 isl_space_free(space
);
1342 isl_space_free(space
);
1343 isl_space_free(domain
);
1347 /* Given a space of the form [A -> B] -> C, return the space B -> C.
1349 __isl_give isl_space
*isl_space_domain_factor_range(
1350 __isl_take isl_space
*space
)
1357 if (!isl_space_domain_is_wrapping(space
))
1358 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1359 "domain not a product", return isl_space_free(space
));
1361 nested
= space
->nested
[0];
1362 range
= isl_space_copy(space
);
1363 range
= isl_space_drop_dims(range
, isl_dim_in
, 0, nested
->n_in
);
1365 return isl_space_free(space
);
1366 if (nested
->tuple_id
[1]) {
1367 range
->tuple_id
[0] = isl_id_copy(nested
->tuple_id
[1]);
1368 if (!range
->tuple_id
[0])
1371 if (nested
->nested
[1]) {
1372 range
->nested
[0] = isl_space_copy(nested
->nested
[1]);
1373 if (!range
->nested
[0])
1377 isl_space_free(space
);
1380 isl_space_free(space
);
1381 isl_space_free(range
);
1385 /* Given a space of the form A -> [B -> C], return the space A -> B.
1387 __isl_give isl_space
*isl_space_range_factor_domain(
1388 __isl_take isl_space
*space
)
1395 if (!isl_space_range_is_wrapping(space
))
1396 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1397 "range not a product", return isl_space_free(space
));
1399 nested
= space
->nested
[1];
1400 domain
= isl_space_copy(space
);
1401 domain
= isl_space_drop_dims(domain
, isl_dim_out
,
1402 nested
->n_in
, nested
->n_out
);
1404 return isl_space_free(space
);
1405 if (nested
->tuple_id
[0]) {
1406 domain
->tuple_id
[1] = isl_id_copy(nested
->tuple_id
[0]);
1407 if (!domain
->tuple_id
[1])
1410 if (nested
->nested
[0]) {
1411 domain
->nested
[1] = isl_space_copy(nested
->nested
[0]);
1412 if (!domain
->nested
[1])
1416 isl_space_free(space
);
1419 isl_space_free(space
);
1420 isl_space_free(domain
);
1424 /* Internal function that selects the range of the map that is
1425 * embedded in either a set space or the range of a map space.
1426 * In particular, given a space of the form [A -> B], return the space B.
1427 * Given a space of the form A -> [B -> C], return the space A -> C.
1429 static __isl_give isl_space
*range_factor_range(__isl_take isl_space
*space
)
1437 nested
= space
->nested
[1];
1438 range
= isl_space_copy(space
);
1439 range
= isl_space_drop_dims(range
, isl_dim_out
, 0, nested
->n_in
);
1441 return isl_space_free(space
);
1442 if (nested
->tuple_id
[1]) {
1443 range
->tuple_id
[1] = isl_id_copy(nested
->tuple_id
[1]);
1444 if (!range
->tuple_id
[1])
1447 if (nested
->nested
[1]) {
1448 range
->nested
[1] = isl_space_copy(nested
->nested
[1]);
1449 if (!range
->nested
[1])
1453 isl_space_free(space
);
1456 isl_space_free(space
);
1457 isl_space_free(range
);
1461 /* Given a space of the form A -> [B -> C], return the space A -> C.
1463 __isl_give isl_space
*isl_space_range_factor_range(
1464 __isl_take isl_space
*space
)
1468 if (!isl_space_range_is_wrapping(space
))
1469 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1470 "range not a product", return isl_space_free(space
));
1472 return range_factor_range(space
);
1475 /* Given a space of the form [A -> B], return the space B.
1477 static __isl_give isl_space
*set_factor_range(__isl_take isl_space
*space
)
1481 if (!isl_space_is_wrapping(space
))
1482 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1483 "not a product", return isl_space_free(space
));
1485 return range_factor_range(space
);
1488 /* Given a space of the form [A -> B] -> [C -> D], return the space B -> D.
1489 * Given a space of the form [A -> B], return the space B.
1491 __isl_give isl_space
*isl_space_factor_range(__isl_take isl_space
*space
)
1495 if (isl_space_is_set(space
))
1496 return set_factor_range(space
);
1497 space
= isl_space_domain_factor_range(space
);
1498 space
= isl_space_range_factor_range(space
);
1502 __isl_give isl_space
*isl_space_map_from_set(__isl_take isl_space
*dim
)
1505 isl_id
**ids
= NULL
;
1509 ctx
= isl_space_get_ctx(dim
);
1510 if (!isl_space_is_set(dim
))
1511 isl_die(ctx
, isl_error_invalid
, "not a set space", goto error
);
1512 dim
= isl_space_cow(dim
);
1516 ids
= isl_calloc_array(dim
->ctx
, isl_id
*,
1517 dim
->nparam
+ dim
->n_out
+ dim
->n_out
);
1520 get_ids(dim
, isl_dim_param
, 0, dim
->nparam
, ids
);
1521 get_ids(dim
, isl_dim_out
, 0, dim
->n_out
, ids
+ dim
->nparam
);
1523 dim
->n_in
= dim
->n_out
;
1527 dim
->n_id
= dim
->nparam
+ dim
->n_out
+ dim
->n_out
;
1528 dim
= copy_ids(dim
, isl_dim_out
, 0, dim
, isl_dim_in
);
1530 isl_id_free(dim
->tuple_id
[0]);
1531 dim
->tuple_id
[0] = isl_id_copy(dim
->tuple_id
[1]);
1532 isl_space_free(dim
->nested
[0]);
1533 dim
->nested
[0] = isl_space_copy(dim
->nested
[1]);
1536 isl_space_free(dim
);
1540 __isl_give isl_space
*isl_space_map_from_domain_and_range(
1541 __isl_take isl_space
*domain
, __isl_take isl_space
*range
)
1543 if (!domain
|| !range
)
1545 if (!isl_space_is_set(domain
))
1546 isl_die(isl_space_get_ctx(domain
), isl_error_invalid
,
1547 "domain is not a set space", goto error
);
1548 if (!isl_space_is_set(range
))
1549 isl_die(isl_space_get_ctx(range
), isl_error_invalid
,
1550 "range is not a set space", goto error
);
1551 return isl_space_join(isl_space_reverse(domain
), range
);
1553 isl_space_free(domain
);
1554 isl_space_free(range
);
1558 static __isl_give isl_space
*set_ids(__isl_take isl_space
*dim
,
1559 enum isl_dim_type type
,
1560 unsigned first
, unsigned n
, __isl_take isl_id
**ids
)
1564 for (i
= 0; i
< n
; ++i
)
1565 dim
= set_id(dim
, type
, first
+ i
, ids
[i
]);
1570 __isl_give isl_space
*isl_space_reverse(__isl_take isl_space
*dim
)
1574 isl_id
**ids
= NULL
;
1579 if (match(dim
, isl_dim_in
, dim
, isl_dim_out
))
1582 dim
= isl_space_cow(dim
);
1586 id
= dim
->tuple_id
[0];
1587 dim
->tuple_id
[0] = dim
->tuple_id
[1];
1588 dim
->tuple_id
[1] = id
;
1590 nested
= dim
->nested
[0];
1591 dim
->nested
[0] = dim
->nested
[1];
1592 dim
->nested
[1] = nested
;
1595 int n_id
= dim
->n_in
+ dim
->n_out
;
1596 ids
= isl_alloc_array(dim
->ctx
, isl_id
*, n_id
);
1599 get_ids(dim
, isl_dim_in
, 0, dim
->n_in
, ids
);
1600 get_ids(dim
, isl_dim_out
, 0, dim
->n_out
, ids
+ dim
->n_in
);
1604 dim
->n_in
= dim
->n_out
;
1608 dim
= set_ids(dim
, isl_dim_out
, 0, dim
->n_out
, ids
);
1609 dim
= set_ids(dim
, isl_dim_in
, 0, dim
->n_in
, ids
+ dim
->n_out
);
1616 isl_space_free(dim
);
1620 __isl_give isl_space
*isl_space_drop_dims(__isl_take isl_space
*dim
,
1621 enum isl_dim_type type
, unsigned first
, unsigned num
)
1629 return isl_space_reset(dim
, type
);
1631 if (!valid_dim_type(type
))
1632 isl_die(dim
->ctx
, isl_error_invalid
,
1633 "cannot drop dimensions of specified type", goto error
);
1635 if (first
+ num
> n(dim
, type
) || first
+ num
< first
)
1636 isl_die(isl_space_get_ctx(dim
), isl_error_invalid
,
1637 "index out of bounds", return isl_space_free(dim
));
1638 dim
= isl_space_cow(dim
);
1642 dim
= extend_ids(dim
);
1645 for (i
= 0; i
< num
; ++i
)
1646 isl_id_free(get_id(dim
, type
, first
+ i
));
1647 for (i
= first
+num
; i
< n(dim
, type
); ++i
)
1648 set_id(dim
, type
, i
- num
, get_id(dim
, type
, i
));
1651 get_ids(dim
, isl_dim_in
, 0, dim
->n_in
,
1652 dim
->ids
+ offset(dim
, isl_dim_in
) - num
);
1654 get_ids(dim
, isl_dim_out
, 0, dim
->n_out
,
1655 dim
->ids
+ offset(dim
, isl_dim_out
) - num
);
1662 case isl_dim_param
: dim
->nparam
-= num
; break;
1663 case isl_dim_in
: dim
->n_in
-= num
; break;
1664 case isl_dim_out
: dim
->n_out
-= num
; break;
1667 dim
= isl_space_reset(dim
, type
);
1668 if (type
== isl_dim_param
) {
1669 if (dim
&& dim
->nested
[0] &&
1670 !(dim
->nested
[0] = isl_space_drop_dims(dim
->nested
[0],
1671 isl_dim_param
, first
, num
)))
1673 if (dim
&& dim
->nested
[1] &&
1674 !(dim
->nested
[1] = isl_space_drop_dims(dim
->nested
[1],
1675 isl_dim_param
, first
, num
)))
1680 isl_space_free(dim
);
1684 __isl_give isl_space
*isl_space_drop_inputs(__isl_take isl_space
*dim
,
1685 unsigned first
, unsigned n
)
1689 return isl_space_drop_dims(dim
, isl_dim_in
, first
, n
);
1692 __isl_give isl_space
*isl_space_drop_outputs(__isl_take isl_space
*dim
,
1693 unsigned first
, unsigned n
)
1697 return isl_space_drop_dims(dim
, isl_dim_out
, first
, n
);
1700 __isl_give isl_space
*isl_space_domain(__isl_take isl_space
*dim
)
1704 dim
= isl_space_drop_outputs(dim
, 0, dim
->n_out
);
1705 dim
= isl_space_reverse(dim
);
1706 dim
= mark_as_set(dim
);
1710 __isl_give isl_space
*isl_space_from_domain(__isl_take isl_space
*dim
)
1714 if (!isl_space_is_set(dim
))
1715 isl_die(isl_space_get_ctx(dim
), isl_error_invalid
,
1716 "not a set space", goto error
);
1717 dim
= isl_space_reverse(dim
);
1718 dim
= isl_space_reset(dim
, isl_dim_out
);
1721 isl_space_free(dim
);
1725 __isl_give isl_space
*isl_space_range(__isl_take isl_space
*dim
)
1729 dim
= isl_space_drop_inputs(dim
, 0, dim
->n_in
);
1730 dim
= mark_as_set(dim
);
1734 __isl_give isl_space
*isl_space_from_range(__isl_take isl_space
*dim
)
1738 if (!isl_space_is_set(dim
))
1739 isl_die(isl_space_get_ctx(dim
), isl_error_invalid
,
1740 "not a set space", goto error
);
1741 return isl_space_reset(dim
, isl_dim_in
);
1743 isl_space_free(dim
);
1747 /* Given a map space A -> B, return the map space [A -> B] -> A.
1749 __isl_give isl_space
*isl_space_domain_map(__isl_take isl_space
*space
)
1753 domain
= isl_space_from_range(isl_space_domain(isl_space_copy(space
)));
1754 space
= isl_space_from_domain(isl_space_wrap(space
));
1755 space
= isl_space_join(space
, domain
);
1760 /* Given a map space A -> B, return the map space [A -> B] -> B.
1762 __isl_give isl_space
*isl_space_range_map(__isl_take isl_space
*space
)
1766 range
= isl_space_from_range(isl_space_range(isl_space_copy(space
)));
1767 space
= isl_space_from_domain(isl_space_wrap(space
));
1768 space
= isl_space_join(space
, range
);
1773 __isl_give isl_space
*isl_space_params(__isl_take isl_space
*space
)
1775 if (isl_space_is_params(space
))
1777 space
= isl_space_drop_dims(space
,
1778 isl_dim_in
, 0, isl_space_dim(space
, isl_dim_in
));
1779 space
= isl_space_drop_dims(space
,
1780 isl_dim_out
, 0, isl_space_dim(space
, isl_dim_out
));
1781 space
= mark_as_params(space
);
1785 __isl_give isl_space
*isl_space_set_from_params(__isl_take isl_space
*space
)
1789 if (!isl_space_is_params(space
))
1790 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1791 "not a parameter space", goto error
);
1792 return isl_space_reset(space
, isl_dim_set
);
1794 isl_space_free(space
);
1798 __isl_give isl_space
*isl_space_underlying(__isl_take isl_space
*dim
,
1806 dim
->nparam
== 0 && dim
->n_in
== 0 && dim
->n_id
== 0)
1807 return isl_space_reset(isl_space_reset(dim
, isl_dim_in
), isl_dim_out
);
1808 dim
= isl_space_cow(dim
);
1811 dim
->n_out
+= dim
->nparam
+ dim
->n_in
+ n_div
;
1815 for (i
= 0; i
< dim
->n_id
; ++i
)
1816 isl_id_free(get_id(dim
, isl_dim_out
, i
));
1818 dim
= isl_space_reset(dim
, isl_dim_in
);
1819 dim
= isl_space_reset(dim
, isl_dim_out
);
1824 /* Are the two spaces the same, including positions and names of parameters?
1826 isl_bool
isl_space_is_equal(__isl_keep isl_space
*space1
,
1827 __isl_keep isl_space
*space2
)
1831 if (!space1
|| !space2
)
1832 return isl_bool_error
;
1833 if (space1
== space2
)
1834 return isl_bool_true
;
1835 equal
= match(space1
, isl_dim_param
, space2
, isl_dim_param
);
1836 if (equal
< 0 || !equal
)
1838 return isl_space_has_equal_tuples(space1
, space2
);
1841 /* Is space1 equal to the domain of space2?
1843 * In the internal version we also allow space2 to be the space of a set,
1844 * provided space1 is a parameter space.
1846 isl_bool
isl_space_is_domain_internal(__isl_keep isl_space
*space1
,
1847 __isl_keep isl_space
*space2
)
1849 if (!space1
|| !space2
)
1850 return isl_bool_error
;
1851 if (!isl_space_is_set(space1
))
1852 return isl_bool_false
;
1853 return match(space1
, isl_dim_param
, space2
, isl_dim_param
) &&
1854 isl_space_tuple_is_equal(space1
, isl_dim_set
,
1855 space2
, isl_dim_in
);
1858 /* Is space1 equal to the domain of space2?
1860 isl_bool
isl_space_is_domain(__isl_keep isl_space
*space1
,
1861 __isl_keep isl_space
*space2
)
1864 return isl_bool_error
;
1865 if (!isl_space_is_map(space2
))
1866 return isl_bool_false
;
1867 return isl_space_is_domain_internal(space1
, space2
);
1870 /* Is space1 equal to the range of space2?
1872 * In the internal version, space2 is allowed to be the space of a set,
1873 * in which case it should be equal to space1.
1875 isl_bool
isl_space_is_range_internal(__isl_keep isl_space
*space1
,
1876 __isl_keep isl_space
*space2
)
1878 if (!space1
|| !space2
)
1879 return isl_bool_error
;
1880 if (!isl_space_is_set(space1
))
1881 return isl_bool_false
;
1882 return match(space1
, isl_dim_param
, space2
, isl_dim_param
) &&
1883 isl_space_tuple_is_equal(space1
, isl_dim_set
,
1884 space2
, isl_dim_out
);
1887 /* Is space1 equal to the range of space2?
1889 isl_bool
isl_space_is_range(__isl_keep isl_space
*space1
,
1890 __isl_keep isl_space
*space2
)
1893 return isl_bool_error
;
1894 if (!isl_space_is_map(space2
))
1895 return isl_bool_false
;
1896 return isl_space_is_range_internal(space1
, space2
);
1899 /* Update "hash" by hashing in "space".
1900 * Changes in this function should be reflected in isl_hash_space_domain.
1902 static uint32_t isl_hash_space(uint32_t hash
, __isl_keep isl_space
*space
)
1910 isl_hash_byte(hash
, space
->nparam
% 256);
1911 isl_hash_byte(hash
, space
->n_in
% 256);
1912 isl_hash_byte(hash
, space
->n_out
% 256);
1914 for (i
= 0; i
< space
->nparam
; ++i
) {
1915 id
= get_id(space
, isl_dim_param
, i
);
1916 hash
= isl_hash_id(hash
, id
);
1919 id
= tuple_id(space
, isl_dim_in
);
1920 hash
= isl_hash_id(hash
, id
);
1921 id
= tuple_id(space
, isl_dim_out
);
1922 hash
= isl_hash_id(hash
, id
);
1924 hash
= isl_hash_space(hash
, space
->nested
[0]);
1925 hash
= isl_hash_space(hash
, space
->nested
[1]);
1930 /* Update "hash" by hashing in the domain of "space".
1931 * The result of this function is equal to the result of applying
1932 * isl_hash_space to the domain of "space".
1934 static uint32_t isl_hash_space_domain(uint32_t hash
,
1935 __isl_keep isl_space
*space
)
1943 isl_hash_byte(hash
, space
->nparam
% 256);
1944 isl_hash_byte(hash
, 0);
1945 isl_hash_byte(hash
, space
->n_in
% 256);
1947 for (i
= 0; i
< space
->nparam
; ++i
) {
1948 id
= get_id(space
, isl_dim_param
, i
);
1949 hash
= isl_hash_id(hash
, id
);
1952 hash
= isl_hash_id(hash
, &isl_id_none
);
1953 id
= tuple_id(space
, isl_dim_in
);
1954 hash
= isl_hash_id(hash
, id
);
1956 hash
= isl_hash_space(hash
, space
->nested
[0]);
1961 uint32_t isl_space_get_hash(__isl_keep isl_space
*dim
)
1968 hash
= isl_hash_init();
1969 hash
= isl_hash_space(hash
, dim
);
1974 /* Return the hash value of the domain of "space".
1975 * That is, isl_space_get_domain_hash(space) is equal to
1976 * isl_space_get_hash(isl_space_domain(space)).
1978 uint32_t isl_space_get_domain_hash(__isl_keep isl_space
*space
)
1985 hash
= isl_hash_init();
1986 hash
= isl_hash_space_domain(hash
, space
);
1991 isl_bool
isl_space_is_wrapping(__isl_keep isl_space
*dim
)
1994 return isl_bool_error
;
1996 if (!isl_space_is_set(dim
))
1997 return isl_bool_false
;
1999 return dim
->nested
[1] != NULL
;
2002 /* Is "space" the space of a map where the domain is a wrapped map space?
2004 isl_bool
isl_space_domain_is_wrapping(__isl_keep isl_space
*space
)
2007 return isl_bool_error
;
2009 if (isl_space_is_set(space
))
2010 return isl_bool_false
;
2012 return space
->nested
[0] != NULL
;
2015 /* Is "space" the space of a map where the range is a wrapped map space?
2017 isl_bool
isl_space_range_is_wrapping(__isl_keep isl_space
*space
)
2020 return isl_bool_error
;
2022 if (isl_space_is_set(space
))
2023 return isl_bool_false
;
2025 return space
->nested
[1] != NULL
;
2028 __isl_give isl_space
*isl_space_wrap(__isl_take isl_space
*dim
)
2035 wrap
= isl_space_set_alloc(dim
->ctx
,
2036 dim
->nparam
, dim
->n_in
+ dim
->n_out
);
2038 wrap
= copy_ids(wrap
, isl_dim_param
, 0, dim
, isl_dim_param
);
2039 wrap
= copy_ids(wrap
, isl_dim_set
, 0, dim
, isl_dim_in
);
2040 wrap
= copy_ids(wrap
, isl_dim_set
, dim
->n_in
, dim
, isl_dim_out
);
2045 wrap
->nested
[1] = dim
;
2049 isl_space_free(dim
);
2053 __isl_give isl_space
*isl_space_unwrap(__isl_take isl_space
*dim
)
2060 if (!isl_space_is_wrapping(dim
))
2061 isl_die(dim
->ctx
, isl_error_invalid
, "not a wrapping space",
2064 unwrap
= isl_space_copy(dim
->nested
[1]);
2065 isl_space_free(dim
);
2069 isl_space_free(dim
);
2073 isl_bool
isl_space_is_named_or_nested(__isl_keep isl_space
*space
,
2074 enum isl_dim_type type
)
2076 if (type
!= isl_dim_in
&& type
!= isl_dim_out
)
2077 return isl_bool_false
;
2079 return isl_bool_error
;
2080 if (space
->tuple_id
[type
- isl_dim_in
])
2081 return isl_bool_true
;
2082 if (space
->nested
[type
- isl_dim_in
])
2083 return isl_bool_true
;
2084 return isl_bool_false
;
2087 isl_bool
isl_space_may_be_set(__isl_keep isl_space
*space
)
2092 return isl_bool_error
;
2093 if (isl_space_is_set(space
))
2094 return isl_bool_true
;
2095 if (isl_space_dim(space
, isl_dim_in
) != 0)
2096 return isl_bool_false
;
2097 nested
= isl_space_is_named_or_nested(space
, isl_dim_in
);
2098 if (nested
< 0 || nested
)
2099 return isl_bool_not(nested
);
2100 return isl_bool_true
;
2103 __isl_give isl_space
*isl_space_reset(__isl_take isl_space
*dim
,
2104 enum isl_dim_type type
)
2106 if (!isl_space_is_named_or_nested(dim
, type
))
2109 dim
= isl_space_cow(dim
);
2113 isl_id_free(dim
->tuple_id
[type
- isl_dim_in
]);
2114 dim
->tuple_id
[type
- isl_dim_in
] = NULL
;
2115 isl_space_free(dim
->nested
[type
- isl_dim_in
]);
2116 dim
->nested
[type
- isl_dim_in
] = NULL
;
2121 __isl_give isl_space
*isl_space_flatten(__isl_take isl_space
*dim
)
2125 if (!dim
->nested
[0] && !dim
->nested
[1])
2129 dim
= isl_space_reset(dim
, isl_dim_in
);
2130 if (dim
&& dim
->nested
[1])
2131 dim
= isl_space_reset(dim
, isl_dim_out
);
2136 __isl_give isl_space
*isl_space_flatten_domain(__isl_take isl_space
*dim
)
2140 if (!dim
->nested
[0])
2143 return isl_space_reset(dim
, isl_dim_in
);
2146 __isl_give isl_space
*isl_space_flatten_range(__isl_take isl_space
*dim
)
2150 if (!dim
->nested
[1])
2153 return isl_space_reset(dim
, isl_dim_out
);
2156 /* Replace the dimensions of the given type of dst by those of src.
2158 __isl_give isl_space
*isl_space_replace(__isl_take isl_space
*dst
,
2159 enum isl_dim_type type
, __isl_keep isl_space
*src
)
2161 dst
= isl_space_cow(dst
);
2166 dst
= isl_space_drop_dims(dst
, type
, 0, isl_space_dim(dst
, type
));
2167 dst
= isl_space_add_dims(dst
, type
, isl_space_dim(src
, type
));
2168 dst
= copy_ids(dst
, type
, 0, src
, type
);
2170 if (dst
&& type
== isl_dim_param
) {
2172 for (i
= 0; i
<= 1; ++i
) {
2173 if (!dst
->nested
[i
])
2175 dst
->nested
[i
] = isl_space_replace(dst
->nested
[i
],
2177 if (!dst
->nested
[i
])
2184 isl_space_free(dst
);
2188 /* Given a dimension specification "dim" of a set, create a dimension
2189 * specification for the lift of the set. In particular, the result
2190 * is of the form [dim -> local[..]], with n_local variables in the
2191 * range of the wrapped map.
2193 __isl_give isl_space
*isl_space_lift(__isl_take isl_space
*dim
, unsigned n_local
)
2195 isl_space
*local_dim
;
2200 local_dim
= isl_space_dup(dim
);
2201 local_dim
= isl_space_drop_dims(local_dim
, isl_dim_set
, 0, dim
->n_out
);
2202 local_dim
= isl_space_add_dims(local_dim
, isl_dim_set
, n_local
);
2203 local_dim
= isl_space_set_tuple_name(local_dim
, isl_dim_set
, "local");
2204 dim
= isl_space_join(isl_space_from_domain(dim
),
2205 isl_space_from_range(local_dim
));
2206 dim
= isl_space_wrap(dim
);
2207 dim
= isl_space_set_tuple_name(dim
, isl_dim_set
, "lifted");
2212 isl_bool
isl_space_can_zip(__isl_keep isl_space
*dim
)
2215 return isl_bool_error
;
2217 return dim
->nested
[0] && dim
->nested
[1];
2220 __isl_give isl_space
*isl_space_zip(__isl_take isl_space
*dim
)
2222 isl_space
*dom
, *ran
;
2223 isl_space
*dom_dom
, *dom_ran
, *ran_dom
, *ran_ran
;
2225 if (!isl_space_can_zip(dim
))
2226 isl_die(dim
->ctx
, isl_error_invalid
, "dim cannot be zipped",
2231 dom
= isl_space_unwrap(isl_space_domain(isl_space_copy(dim
)));
2232 ran
= isl_space_unwrap(isl_space_range(dim
));
2233 dom_dom
= isl_space_domain(isl_space_copy(dom
));
2234 dom_ran
= isl_space_range(dom
);
2235 ran_dom
= isl_space_domain(isl_space_copy(ran
));
2236 ran_ran
= isl_space_range(ran
);
2237 dom
= isl_space_join(isl_space_from_domain(dom_dom
),
2238 isl_space_from_range(ran_dom
));
2239 ran
= isl_space_join(isl_space_from_domain(dom_ran
),
2240 isl_space_from_range(ran_ran
));
2241 return isl_space_join(isl_space_from_domain(isl_space_wrap(dom
)),
2242 isl_space_from_range(isl_space_wrap(ran
)));
2244 isl_space_free(dim
);
2248 /* Can we apply isl_space_curry to "space"?
2249 * That is, does it have a nested relation in its domain?
2251 isl_bool
isl_space_can_curry(__isl_keep isl_space
*space
)
2254 return isl_bool_error
;
2256 return !!space
->nested
[0];
2259 /* Given a space (A -> B) -> C, return the corresponding space
2262 __isl_give isl_space
*isl_space_curry(__isl_take isl_space
*space
)
2264 isl_space
*dom
, *ran
;
2265 isl_space
*dom_dom
, *dom_ran
;
2270 if (!isl_space_can_curry(space
))
2271 isl_die(space
->ctx
, isl_error_invalid
,
2272 "space cannot be curried", goto error
);
2274 dom
= isl_space_unwrap(isl_space_domain(isl_space_copy(space
)));
2275 ran
= isl_space_range(space
);
2276 dom_dom
= isl_space_domain(isl_space_copy(dom
));
2277 dom_ran
= isl_space_range(dom
);
2278 ran
= isl_space_join(isl_space_from_domain(dom_ran
),
2279 isl_space_from_range(ran
));
2280 return isl_space_join(isl_space_from_domain(dom_dom
),
2281 isl_space_from_range(isl_space_wrap(ran
)));
2283 isl_space_free(space
);
2287 /* Can isl_space_range_curry be applied to "space"?
2288 * That is, does it have a nested relation in its range,
2289 * the domain of which is itself a nested relation?
2291 isl_bool
isl_space_can_range_curry(__isl_keep isl_space
*space
)
2296 return isl_bool_error
;
2297 can
= isl_space_range_is_wrapping(space
);
2298 if (can
< 0 || !can
)
2300 return isl_space_can_curry(space
->nested
[1]);
2303 /* Given a space A -> ((B -> C) -> D), return the corresponding space
2304 * A -> (B -> (C -> D)).
2306 __isl_give isl_space
*isl_space_range_curry(__isl_take isl_space
*space
)
2311 if (!isl_space_can_range_curry(space
))
2312 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
2313 "space range cannot be curried",
2314 return isl_space_free(space
));
2316 space
= isl_space_cow(space
);
2319 space
->nested
[1] = isl_space_curry(space
->nested
[1]);
2320 if (!space
->nested
[1])
2321 return isl_space_free(space
);
2326 /* Can we apply isl_space_uncurry to "space"?
2327 * That is, does it have a nested relation in its range?
2329 isl_bool
isl_space_can_uncurry(__isl_keep isl_space
*space
)
2332 return isl_bool_error
;
2334 return !!space
->nested
[1];
2337 /* Given a space A -> (B -> C), return the corresponding space
2340 __isl_give isl_space
*isl_space_uncurry(__isl_take isl_space
*space
)
2342 isl_space
*dom
, *ran
;
2343 isl_space
*ran_dom
, *ran_ran
;
2348 if (!isl_space_can_uncurry(space
))
2349 isl_die(space
->ctx
, isl_error_invalid
,
2350 "space cannot be uncurried",
2351 return isl_space_free(space
));
2353 dom
= isl_space_domain(isl_space_copy(space
));
2354 ran
= isl_space_unwrap(isl_space_range(space
));
2355 ran_dom
= isl_space_domain(isl_space_copy(ran
));
2356 ran_ran
= isl_space_range(ran
);
2357 dom
= isl_space_join(isl_space_from_domain(dom
),
2358 isl_space_from_range(ran_dom
));
2359 return isl_space_join(isl_space_from_domain(isl_space_wrap(dom
)),
2360 isl_space_from_range(ran_ran
));
2363 isl_bool
isl_space_has_named_params(__isl_keep isl_space
*space
)
2369 return isl_bool_error
;
2370 if (space
->nparam
== 0)
2371 return isl_bool_true
;
2372 off
= isl_space_offset(space
, isl_dim_param
);
2373 if (off
+ space
->nparam
> space
->n_id
)
2374 return isl_bool_false
;
2375 for (i
= 0; i
< space
->nparam
; ++i
)
2376 if (!space
->ids
[off
+ i
])
2377 return isl_bool_false
;
2378 return isl_bool_true
;
2381 /* Check that "space" has only named parameters, reporting an error
2384 isl_stat
isl_space_check_named_params(__isl_keep isl_space
*space
)
2388 named
= isl_space_has_named_params(space
);
2390 return isl_stat_error
;
2392 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
2393 "unaligned unnamed parameters", return isl_stat_error
);
2398 /* Align the initial parameters of dim1 to match the order in dim2.
2400 __isl_give isl_space
*isl_space_align_params(__isl_take isl_space
*dim1
,
2401 __isl_take isl_space
*dim2
)
2403 isl_reordering
*exp
;
2405 if (!isl_space_has_named_params(dim1
) || !isl_space_has_named_params(dim2
))
2406 isl_die(isl_space_get_ctx(dim1
), isl_error_invalid
,
2407 "parameter alignment requires named parameters",
2410 dim2
= isl_space_params(dim2
);
2411 exp
= isl_parameter_alignment_reordering(dim1
, dim2
);
2412 exp
= isl_reordering_extend_space(exp
, dim1
);
2413 isl_space_free(dim2
);
2416 dim1
= isl_space_copy(exp
->dim
);
2417 isl_reordering_free(exp
);
2420 isl_space_free(dim1
);
2421 isl_space_free(dim2
);
2425 /* Given the space of set (domain), construct a space for a map
2426 * with as domain the given space and as range the range of "model".
2428 __isl_give isl_space
*isl_space_extend_domain_with_range(
2429 __isl_take isl_space
*space
, __isl_take isl_space
*model
)
2434 space
= isl_space_from_domain(space
);
2435 space
= isl_space_add_dims(space
, isl_dim_out
,
2436 isl_space_dim(model
, isl_dim_out
));
2437 if (isl_space_has_tuple_id(model
, isl_dim_out
))
2438 space
= isl_space_set_tuple_id(space
, isl_dim_out
,
2439 isl_space_get_tuple_id(model
, isl_dim_out
));
2442 if (model
->nested
[1]) {
2443 isl_space
*nested
= isl_space_copy(model
->nested
[1]);
2444 int n_nested
, n_space
;
2445 nested
= isl_space_align_params(nested
, isl_space_copy(space
));
2446 n_nested
= isl_space_dim(nested
, isl_dim_param
);
2447 n_space
= isl_space_dim(space
, isl_dim_param
);
2448 if (n_nested
> n_space
)
2449 nested
= isl_space_drop_dims(nested
, isl_dim_param
,
2450 n_space
, n_nested
- n_space
);
2453 space
->nested
[1] = nested
;
2455 isl_space_free(model
);
2458 isl_space_free(model
);
2459 isl_space_free(space
);
2463 /* Compare the "type" dimensions of two isl_spaces.
2465 * The order is fairly arbitrary.
2467 static int isl_space_cmp_type(__isl_keep isl_space
*space1
,
2468 __isl_keep isl_space
*space2
, enum isl_dim_type type
)
2471 isl_space
*nested1
, *nested2
;
2473 if (isl_space_dim(space1
, type
) != isl_space_dim(space2
, type
))
2474 return isl_space_dim(space1
, type
) -
2475 isl_space_dim(space2
, type
);
2477 cmp
= isl_id_cmp(tuple_id(space1
, type
), tuple_id(space2
, type
));
2481 nested1
= nested(space1
, type
);
2482 nested2
= nested(space2
, type
);
2483 if (!nested1
!= !nested2
)
2484 return !nested1
- !nested2
;
2487 return isl_space_cmp(nested1
, nested2
);
2492 /* Compare two isl_spaces.
2494 * The order is fairly arbitrary.
2496 int isl_space_cmp(__isl_keep isl_space
*space1
, __isl_keep isl_space
*space2
)
2501 if (space1
== space2
)
2508 cmp
= isl_space_cmp_type(space1
, space2
, isl_dim_param
);
2511 cmp
= isl_space_cmp_type(space1
, space2
, isl_dim_in
);
2514 cmp
= isl_space_cmp_type(space1
, space2
, isl_dim_out
);
2518 if (!space1
->ids
&& !space2
->ids
)
2521 for (i
= 0; i
< n(space1
, isl_dim_param
); ++i
) {
2522 cmp
= isl_id_cmp(get_id(space1
, isl_dim_param
, i
),
2523 get_id(space2
, isl_dim_param
, i
));