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
*dim
,
1044 enum isl_dim_type dst_type
, unsigned dst_pos
,
1045 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
1052 dim
= isl_space_reset(dim
, src_type
);
1053 return isl_space_reset(dim
, dst_type
);
1056 isl_assert(dim
->ctx
, src_pos
+ n
<= isl_space_dim(dim
, src_type
),
1059 if (dst_type
== src_type
&& dst_pos
== src_pos
)
1062 isl_assert(dim
->ctx
, dst_type
!= src_type
, goto error
);
1064 dim
= isl_space_reset(dim
, src_type
);
1065 dim
= isl_space_reset(dim
, dst_type
);
1067 dim
= isl_space_cow(dim
);
1073 enum isl_dim_type t
, o
= isl_dim_param
;
1076 ids
= isl_calloc_array(dim
->ctx
, isl_id
*,
1077 dim
->nparam
+ dim
->n_in
+ dim
->n_out
);
1081 s
[isl_dim_param
- o
] = dim
->nparam
;
1082 s
[isl_dim_in
- o
] = dim
->n_in
;
1083 s
[isl_dim_out
- o
] = dim
->n_out
;
1084 for (t
= isl_dim_param
; t
<= isl_dim_out
; ++t
) {
1085 if (t
== dst_type
) {
1086 get_ids(dim
, t
, 0, dst_pos
, ids
+ off
);
1088 get_ids(dim
, src_type
, src_pos
, n
, ids
+ off
);
1090 get_ids(dim
, t
, dst_pos
, s
[t
- o
] - dst_pos
,
1092 off
+= s
[t
- o
] - dst_pos
;
1093 } else if (t
== src_type
) {
1094 get_ids(dim
, t
, 0, src_pos
, ids
+ off
);
1096 get_ids(dim
, t
, src_pos
+ n
,
1097 s
[t
- o
] - src_pos
- n
, ids
+ off
);
1098 off
+= s
[t
- o
] - src_pos
- n
;
1100 get_ids(dim
, t
, 0, s
[t
- o
], ids
+ off
);
1106 dim
->n_id
= dim
->nparam
+ dim
->n_in
+ dim
->n_out
;
1110 case isl_dim_param
: dim
->nparam
+= n
; break;
1111 case isl_dim_in
: dim
->n_in
+= n
; break;
1112 case isl_dim_out
: dim
->n_out
+= n
; break;
1117 case isl_dim_param
: dim
->nparam
-= n
; break;
1118 case isl_dim_in
: dim
->n_in
-= n
; break;
1119 case isl_dim_out
: dim
->n_out
-= n
; break;
1123 if (dst_type
!= isl_dim_param
&& src_type
!= isl_dim_param
)
1126 for (i
= 0; i
< 2; ++i
) {
1127 if (!dim
->nested
[i
])
1129 dim
->nested
[i
] = isl_space_replace(dim
->nested
[i
],
1130 isl_dim_param
, dim
);
1131 if (!dim
->nested
[i
])
1137 isl_space_free(dim
);
1141 __isl_give isl_space
*isl_space_join(__isl_take isl_space
*left
,
1142 __isl_take isl_space
*right
)
1146 if (!left
|| !right
)
1149 isl_assert(left
->ctx
, match(left
, isl_dim_param
, right
, isl_dim_param
),
1151 isl_assert(left
->ctx
,
1152 isl_space_tuple_is_equal(left
, isl_dim_out
, right
, isl_dim_in
),
1155 dim
= isl_space_alloc(left
->ctx
, left
->nparam
, left
->n_in
, right
->n_out
);
1159 dim
= copy_ids(dim
, isl_dim_param
, 0, left
, isl_dim_param
);
1160 dim
= copy_ids(dim
, isl_dim_in
, 0, left
, isl_dim_in
);
1161 dim
= copy_ids(dim
, isl_dim_out
, 0, right
, isl_dim_out
);
1163 if (dim
&& left
->tuple_id
[0] &&
1164 !(dim
->tuple_id
[0] = isl_id_copy(left
->tuple_id
[0])))
1166 if (dim
&& right
->tuple_id
[1] &&
1167 !(dim
->tuple_id
[1] = isl_id_copy(right
->tuple_id
[1])))
1169 if (dim
&& left
->nested
[0] &&
1170 !(dim
->nested
[0] = isl_space_copy(left
->nested
[0])))
1172 if (dim
&& right
->nested
[1] &&
1173 !(dim
->nested
[1] = isl_space_copy(right
->nested
[1])))
1176 isl_space_free(left
);
1177 isl_space_free(right
);
1181 isl_space_free(left
);
1182 isl_space_free(right
);
1186 /* Given two map spaces { A -> C } and { B -> D }, construct the space
1187 * { [A -> B] -> [C -> D] }.
1188 * Given two set spaces { A } and { B }, construct the space { [A -> B] }.
1190 __isl_give isl_space
*isl_space_product(__isl_take isl_space
*left
,
1191 __isl_take isl_space
*right
)
1193 isl_space
*dom1
, *dom2
, *nest1
, *nest2
;
1196 if (!left
|| !right
)
1199 is_set
= isl_space_is_set(left
);
1200 if (is_set
!= isl_space_is_set(right
))
1201 isl_die(isl_space_get_ctx(left
), isl_error_invalid
,
1202 "expecting either two set spaces or two map spaces",
1205 return isl_space_range_product(left
, right
);
1207 isl_assert(left
->ctx
, match(left
, isl_dim_param
, right
, isl_dim_param
),
1210 dom1
= isl_space_domain(isl_space_copy(left
));
1211 dom2
= isl_space_domain(isl_space_copy(right
));
1212 nest1
= isl_space_wrap(isl_space_join(isl_space_reverse(dom1
), dom2
));
1214 dom1
= isl_space_range(left
);
1215 dom2
= isl_space_range(right
);
1216 nest2
= isl_space_wrap(isl_space_join(isl_space_reverse(dom1
), dom2
));
1218 return isl_space_join(isl_space_reverse(nest1
), nest2
);
1220 isl_space_free(left
);
1221 isl_space_free(right
);
1225 /* Given two spaces { A -> C } and { B -> C }, construct the space
1228 __isl_give isl_space
*isl_space_domain_product(__isl_take isl_space
*left
,
1229 __isl_take isl_space
*right
)
1231 isl_space
*ran
, *dom1
, *dom2
, *nest
;
1233 if (!left
|| !right
)
1236 if (!match(left
, isl_dim_param
, right
, isl_dim_param
))
1237 isl_die(left
->ctx
, isl_error_invalid
,
1238 "parameters need to match", goto error
);
1239 if (!isl_space_tuple_is_equal(left
, isl_dim_out
, right
, isl_dim_out
))
1240 isl_die(left
->ctx
, isl_error_invalid
,
1241 "ranges need to match", goto error
);
1243 ran
= isl_space_range(isl_space_copy(left
));
1245 dom1
= isl_space_domain(left
);
1246 dom2
= isl_space_domain(right
);
1247 nest
= isl_space_wrap(isl_space_join(isl_space_reverse(dom1
), dom2
));
1249 return isl_space_join(isl_space_reverse(nest
), ran
);
1251 isl_space_free(left
);
1252 isl_space_free(right
);
1256 __isl_give isl_space
*isl_space_range_product(__isl_take isl_space
*left
,
1257 __isl_take isl_space
*right
)
1259 isl_space
*dom
, *ran1
, *ran2
, *nest
;
1261 if (!left
|| !right
)
1264 isl_assert(left
->ctx
, match(left
, isl_dim_param
, right
, isl_dim_param
),
1266 if (!isl_space_tuple_is_equal(left
, isl_dim_in
, right
, isl_dim_in
))
1267 isl_die(left
->ctx
, isl_error_invalid
,
1268 "domains need to match", goto error
);
1270 dom
= isl_space_domain(isl_space_copy(left
));
1272 ran1
= isl_space_range(left
);
1273 ran2
= isl_space_range(right
);
1274 nest
= isl_space_wrap(isl_space_join(isl_space_reverse(ran1
), ran2
));
1276 return isl_space_join(isl_space_reverse(dom
), nest
);
1278 isl_space_free(left
);
1279 isl_space_free(right
);
1283 /* Given a space of the form [A -> B] -> [C -> D], return the space A -> C.
1285 __isl_give isl_space
*isl_space_factor_domain(__isl_take isl_space
*space
)
1287 space
= isl_space_domain_factor_domain(space
);
1288 space
= isl_space_range_factor_domain(space
);
1292 /* Given a space of the form [A -> B] -> C, return the space A -> C.
1294 __isl_give isl_space
*isl_space_domain_factor_domain(
1295 __isl_take isl_space
*space
)
1302 if (!isl_space_domain_is_wrapping(space
))
1303 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1304 "domain not a product", return isl_space_free(space
));
1306 nested
= space
->nested
[0];
1307 domain
= isl_space_copy(space
);
1308 domain
= isl_space_drop_dims(domain
, isl_dim_in
,
1309 nested
->n_in
, nested
->n_out
);
1311 return isl_space_free(space
);
1312 if (nested
->tuple_id
[0]) {
1313 domain
->tuple_id
[0] = isl_id_copy(nested
->tuple_id
[0]);
1314 if (!domain
->tuple_id
[0])
1317 if (nested
->nested
[0]) {
1318 domain
->nested
[0] = isl_space_copy(nested
->nested
[0]);
1319 if (!domain
->nested
[0])
1323 isl_space_free(space
);
1326 isl_space_free(space
);
1327 isl_space_free(domain
);
1331 /* Given a space of the form [A -> B] -> C, return the space B -> C.
1333 __isl_give isl_space
*isl_space_domain_factor_range(
1334 __isl_take isl_space
*space
)
1341 if (!isl_space_domain_is_wrapping(space
))
1342 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1343 "domain not a product", return isl_space_free(space
));
1345 nested
= space
->nested
[0];
1346 range
= isl_space_copy(space
);
1347 range
= isl_space_drop_dims(range
, isl_dim_in
, 0, nested
->n_in
);
1349 return isl_space_free(space
);
1350 if (nested
->tuple_id
[1]) {
1351 range
->tuple_id
[0] = isl_id_copy(nested
->tuple_id
[1]);
1352 if (!range
->tuple_id
[0])
1355 if (nested
->nested
[1]) {
1356 range
->nested
[0] = isl_space_copy(nested
->nested
[1]);
1357 if (!range
->nested
[0])
1361 isl_space_free(space
);
1364 isl_space_free(space
);
1365 isl_space_free(range
);
1369 /* Given a space of the form A -> [B -> C], return the space A -> B.
1371 __isl_give isl_space
*isl_space_range_factor_domain(
1372 __isl_take isl_space
*space
)
1379 if (!isl_space_range_is_wrapping(space
))
1380 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1381 "range not a product", return isl_space_free(space
));
1383 nested
= space
->nested
[1];
1384 domain
= isl_space_copy(space
);
1385 domain
= isl_space_drop_dims(domain
, isl_dim_out
,
1386 nested
->n_in
, nested
->n_out
);
1388 return isl_space_free(space
);
1389 if (nested
->tuple_id
[0]) {
1390 domain
->tuple_id
[1] = isl_id_copy(nested
->tuple_id
[0]);
1391 if (!domain
->tuple_id
[1])
1394 if (nested
->nested
[0]) {
1395 domain
->nested
[1] = isl_space_copy(nested
->nested
[0]);
1396 if (!domain
->nested
[1])
1400 isl_space_free(space
);
1403 isl_space_free(space
);
1404 isl_space_free(domain
);
1408 /* Internal function that selects the range of the map that is
1409 * embedded in either a set space or the range of a map space.
1410 * In particular, given a space of the form [A -> B], return the space B.
1411 * Given a space of the form A -> [B -> C], return the space A -> C.
1413 static __isl_give isl_space
*range_factor_range(__isl_take isl_space
*space
)
1421 nested
= space
->nested
[1];
1422 range
= isl_space_copy(space
);
1423 range
= isl_space_drop_dims(range
, isl_dim_out
, 0, nested
->n_in
);
1425 return isl_space_free(space
);
1426 if (nested
->tuple_id
[1]) {
1427 range
->tuple_id
[1] = isl_id_copy(nested
->tuple_id
[1]);
1428 if (!range
->tuple_id
[1])
1431 if (nested
->nested
[1]) {
1432 range
->nested
[1] = isl_space_copy(nested
->nested
[1]);
1433 if (!range
->nested
[1])
1437 isl_space_free(space
);
1440 isl_space_free(space
);
1441 isl_space_free(range
);
1445 /* Given a space of the form A -> [B -> C], return the space A -> C.
1447 __isl_give isl_space
*isl_space_range_factor_range(
1448 __isl_take isl_space
*space
)
1452 if (!isl_space_range_is_wrapping(space
))
1453 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1454 "range not a product", return isl_space_free(space
));
1456 return range_factor_range(space
);
1459 /* Given a space of the form [A -> B], return the space B.
1461 static __isl_give isl_space
*set_factor_range(__isl_take isl_space
*space
)
1465 if (!isl_space_is_wrapping(space
))
1466 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1467 "not a product", return isl_space_free(space
));
1469 return range_factor_range(space
);
1472 /* Given a space of the form [A -> B] -> [C -> D], return the space B -> D.
1473 * Given a space of the form [A -> B], return the space B.
1475 __isl_give isl_space
*isl_space_factor_range(__isl_take isl_space
*space
)
1479 if (isl_space_is_set(space
))
1480 return set_factor_range(space
);
1481 space
= isl_space_domain_factor_range(space
);
1482 space
= isl_space_range_factor_range(space
);
1486 __isl_give isl_space
*isl_space_map_from_set(__isl_take isl_space
*dim
)
1489 isl_id
**ids
= NULL
;
1493 ctx
= isl_space_get_ctx(dim
);
1494 if (!isl_space_is_set(dim
))
1495 isl_die(ctx
, isl_error_invalid
, "not a set space", goto error
);
1496 dim
= isl_space_cow(dim
);
1500 ids
= isl_calloc_array(dim
->ctx
, isl_id
*,
1501 dim
->nparam
+ dim
->n_out
+ dim
->n_out
);
1504 get_ids(dim
, isl_dim_param
, 0, dim
->nparam
, ids
);
1505 get_ids(dim
, isl_dim_out
, 0, dim
->n_out
, ids
+ dim
->nparam
);
1507 dim
->n_in
= dim
->n_out
;
1511 dim
->n_id
= dim
->nparam
+ dim
->n_out
+ dim
->n_out
;
1512 dim
= copy_ids(dim
, isl_dim_out
, 0, dim
, isl_dim_in
);
1514 isl_id_free(dim
->tuple_id
[0]);
1515 dim
->tuple_id
[0] = isl_id_copy(dim
->tuple_id
[1]);
1516 isl_space_free(dim
->nested
[0]);
1517 dim
->nested
[0] = isl_space_copy(dim
->nested
[1]);
1520 isl_space_free(dim
);
1524 __isl_give isl_space
*isl_space_map_from_domain_and_range(
1525 __isl_take isl_space
*domain
, __isl_take isl_space
*range
)
1527 if (!domain
|| !range
)
1529 if (!isl_space_is_set(domain
))
1530 isl_die(isl_space_get_ctx(domain
), isl_error_invalid
,
1531 "domain is not a set space", goto error
);
1532 if (!isl_space_is_set(range
))
1533 isl_die(isl_space_get_ctx(range
), isl_error_invalid
,
1534 "range is not a set space", goto error
);
1535 return isl_space_join(isl_space_reverse(domain
), range
);
1537 isl_space_free(domain
);
1538 isl_space_free(range
);
1542 static __isl_give isl_space
*set_ids(__isl_take isl_space
*dim
,
1543 enum isl_dim_type type
,
1544 unsigned first
, unsigned n
, __isl_take isl_id
**ids
)
1548 for (i
= 0; i
< n
; ++i
)
1549 dim
= set_id(dim
, type
, first
+ i
, ids
[i
]);
1554 __isl_give isl_space
*isl_space_reverse(__isl_take isl_space
*dim
)
1558 isl_id
**ids
= NULL
;
1563 if (match(dim
, isl_dim_in
, dim
, isl_dim_out
))
1566 dim
= isl_space_cow(dim
);
1570 id
= dim
->tuple_id
[0];
1571 dim
->tuple_id
[0] = dim
->tuple_id
[1];
1572 dim
->tuple_id
[1] = id
;
1574 nested
= dim
->nested
[0];
1575 dim
->nested
[0] = dim
->nested
[1];
1576 dim
->nested
[1] = nested
;
1579 int n_id
= dim
->n_in
+ dim
->n_out
;
1580 ids
= isl_alloc_array(dim
->ctx
, isl_id
*, n_id
);
1583 get_ids(dim
, isl_dim_in
, 0, dim
->n_in
, ids
);
1584 get_ids(dim
, isl_dim_out
, 0, dim
->n_out
, ids
+ dim
->n_in
);
1588 dim
->n_in
= dim
->n_out
;
1592 dim
= set_ids(dim
, isl_dim_out
, 0, dim
->n_out
, ids
);
1593 dim
= set_ids(dim
, isl_dim_in
, 0, dim
->n_in
, ids
+ dim
->n_out
);
1600 isl_space_free(dim
);
1604 __isl_give isl_space
*isl_space_drop_dims(__isl_take isl_space
*dim
,
1605 enum isl_dim_type type
, unsigned first
, unsigned num
)
1613 return isl_space_reset(dim
, type
);
1615 if (!valid_dim_type(type
))
1616 isl_die(dim
->ctx
, isl_error_invalid
,
1617 "cannot drop dimensions of specified type", goto error
);
1619 if (first
+ num
> n(dim
, type
) || first
+ num
< first
)
1620 isl_die(isl_space_get_ctx(dim
), isl_error_invalid
,
1621 "index out of bounds", return isl_space_free(dim
));
1622 dim
= isl_space_cow(dim
);
1626 dim
= extend_ids(dim
);
1629 for (i
= 0; i
< num
; ++i
)
1630 isl_id_free(get_id(dim
, type
, first
+ i
));
1631 for (i
= first
+num
; i
< n(dim
, type
); ++i
)
1632 set_id(dim
, type
, i
- num
, get_id(dim
, type
, i
));
1635 get_ids(dim
, isl_dim_in
, 0, dim
->n_in
,
1636 dim
->ids
+ offset(dim
, isl_dim_in
) - num
);
1638 get_ids(dim
, isl_dim_out
, 0, dim
->n_out
,
1639 dim
->ids
+ offset(dim
, isl_dim_out
) - num
);
1646 case isl_dim_param
: dim
->nparam
-= num
; break;
1647 case isl_dim_in
: dim
->n_in
-= num
; break;
1648 case isl_dim_out
: dim
->n_out
-= num
; break;
1651 dim
= isl_space_reset(dim
, type
);
1652 if (type
== isl_dim_param
) {
1653 if (dim
&& dim
->nested
[0] &&
1654 !(dim
->nested
[0] = isl_space_drop_dims(dim
->nested
[0],
1655 isl_dim_param
, first
, num
)))
1657 if (dim
&& dim
->nested
[1] &&
1658 !(dim
->nested
[1] = isl_space_drop_dims(dim
->nested
[1],
1659 isl_dim_param
, first
, num
)))
1664 isl_space_free(dim
);
1668 __isl_give isl_space
*isl_space_drop_inputs(__isl_take isl_space
*dim
,
1669 unsigned first
, unsigned n
)
1673 return isl_space_drop_dims(dim
, isl_dim_in
, first
, n
);
1676 __isl_give isl_space
*isl_space_drop_outputs(__isl_take isl_space
*dim
,
1677 unsigned first
, unsigned n
)
1681 return isl_space_drop_dims(dim
, isl_dim_out
, first
, n
);
1684 __isl_give isl_space
*isl_space_domain(__isl_take isl_space
*dim
)
1688 dim
= isl_space_drop_outputs(dim
, 0, dim
->n_out
);
1689 dim
= isl_space_reverse(dim
);
1690 dim
= mark_as_set(dim
);
1694 __isl_give isl_space
*isl_space_from_domain(__isl_take isl_space
*dim
)
1698 if (!isl_space_is_set(dim
))
1699 isl_die(isl_space_get_ctx(dim
), isl_error_invalid
,
1700 "not a set space", goto error
);
1701 dim
= isl_space_reverse(dim
);
1702 dim
= isl_space_reset(dim
, isl_dim_out
);
1705 isl_space_free(dim
);
1709 __isl_give isl_space
*isl_space_range(__isl_take isl_space
*dim
)
1713 dim
= isl_space_drop_inputs(dim
, 0, dim
->n_in
);
1714 dim
= mark_as_set(dim
);
1718 __isl_give isl_space
*isl_space_from_range(__isl_take isl_space
*dim
)
1722 if (!isl_space_is_set(dim
))
1723 isl_die(isl_space_get_ctx(dim
), isl_error_invalid
,
1724 "not a set space", goto error
);
1725 return isl_space_reset(dim
, isl_dim_in
);
1727 isl_space_free(dim
);
1731 /* Given a map space A -> B, return the map space [A -> B] -> A.
1733 __isl_give isl_space
*isl_space_domain_map(__isl_take isl_space
*space
)
1737 domain
= isl_space_from_range(isl_space_domain(isl_space_copy(space
)));
1738 space
= isl_space_from_domain(isl_space_wrap(space
));
1739 space
= isl_space_join(space
, domain
);
1744 /* Given a map space A -> B, return the map space [A -> B] -> B.
1746 __isl_give isl_space
*isl_space_range_map(__isl_take isl_space
*space
)
1750 range
= isl_space_from_range(isl_space_range(isl_space_copy(space
)));
1751 space
= isl_space_from_domain(isl_space_wrap(space
));
1752 space
= isl_space_join(space
, range
);
1757 __isl_give isl_space
*isl_space_params(__isl_take isl_space
*space
)
1759 if (isl_space_is_params(space
))
1761 space
= isl_space_drop_dims(space
,
1762 isl_dim_in
, 0, isl_space_dim(space
, isl_dim_in
));
1763 space
= isl_space_drop_dims(space
,
1764 isl_dim_out
, 0, isl_space_dim(space
, isl_dim_out
));
1765 space
= mark_as_params(space
);
1769 __isl_give isl_space
*isl_space_set_from_params(__isl_take isl_space
*space
)
1773 if (!isl_space_is_params(space
))
1774 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
1775 "not a parameter space", goto error
);
1776 return isl_space_reset(space
, isl_dim_set
);
1778 isl_space_free(space
);
1782 __isl_give isl_space
*isl_space_as_set_space(__isl_take isl_space
*dim
)
1784 dim
= isl_space_cow(dim
);
1788 dim
->n_out
+= dim
->n_in
;
1790 dim
= isl_space_reset(dim
, isl_dim_in
);
1791 dim
= isl_space_reset(dim
, isl_dim_out
);
1796 __isl_give isl_space
*isl_space_underlying(__isl_take isl_space
*dim
,
1804 dim
->nparam
== 0 && dim
->n_in
== 0 && dim
->n_id
== 0)
1805 return isl_space_reset(isl_space_reset(dim
, isl_dim_in
), isl_dim_out
);
1806 dim
= isl_space_cow(dim
);
1809 dim
->n_out
+= dim
->nparam
+ dim
->n_in
+ n_div
;
1813 for (i
= 0; i
< dim
->n_id
; ++i
)
1814 isl_id_free(get_id(dim
, isl_dim_out
, i
));
1816 dim
= isl_space_reset(dim
, isl_dim_in
);
1817 dim
= isl_space_reset(dim
, isl_dim_out
);
1822 /* Are the two spaces the same, including positions and names of parameters?
1824 isl_bool
isl_space_is_equal(__isl_keep isl_space
*dim1
,
1825 __isl_keep isl_space
*dim2
)
1828 return isl_bool_error
;
1830 return isl_bool_true
;
1831 return match(dim1
, isl_dim_param
, dim2
, isl_dim_param
) &&
1832 isl_space_tuple_is_equal(dim1
, isl_dim_in
, dim2
, isl_dim_in
) &&
1833 isl_space_tuple_is_equal(dim1
, isl_dim_out
, dim2
, isl_dim_out
);
1836 /* Is space1 equal to the domain of space2?
1838 * In the internal version we also allow space2 to be the space of a set,
1839 * provided space1 is a parameter space.
1841 isl_bool
isl_space_is_domain_internal(__isl_keep isl_space
*space1
,
1842 __isl_keep isl_space
*space2
)
1844 if (!space1
|| !space2
)
1845 return isl_bool_error
;
1846 if (!isl_space_is_set(space1
))
1847 return isl_bool_false
;
1848 return match(space1
, isl_dim_param
, space2
, isl_dim_param
) &&
1849 isl_space_tuple_is_equal(space1
, isl_dim_set
,
1850 space2
, isl_dim_in
);
1853 /* Is space1 equal to the domain of space2?
1855 isl_bool
isl_space_is_domain(__isl_keep isl_space
*space1
,
1856 __isl_keep isl_space
*space2
)
1859 return isl_bool_error
;
1860 if (!isl_space_is_map(space2
))
1861 return isl_bool_false
;
1862 return isl_space_is_domain_internal(space1
, space2
);
1865 /* Is space1 equal to the range of space2?
1867 * In the internal version, space2 is allowed to be the space of a set,
1868 * in which case it should be equal to space1.
1870 isl_bool
isl_space_is_range_internal(__isl_keep isl_space
*space1
,
1871 __isl_keep isl_space
*space2
)
1873 if (!space1
|| !space2
)
1874 return isl_bool_error
;
1875 if (!isl_space_is_set(space1
))
1876 return isl_bool_false
;
1877 return match(space1
, isl_dim_param
, space2
, isl_dim_param
) &&
1878 isl_space_tuple_is_equal(space1
, isl_dim_set
,
1879 space2
, isl_dim_out
);
1882 /* Is space1 equal to the range of space2?
1884 isl_bool
isl_space_is_range(__isl_keep isl_space
*space1
,
1885 __isl_keep isl_space
*space2
)
1888 return isl_bool_error
;
1889 if (!isl_space_is_map(space2
))
1890 return isl_bool_false
;
1891 return isl_space_is_range_internal(space1
, space2
);
1894 int isl_space_compatible_internal(__isl_keep isl_space
*dim1
,
1895 __isl_keep isl_space
*dim2
)
1897 return dim1
->nparam
== dim2
->nparam
&&
1898 dim1
->n_in
+ dim1
->n_out
== dim2
->n_in
+ dim2
->n_out
;
1901 int isl_space_compatible(__isl_keep isl_space
*space1
,
1902 __isl_keep isl_space
*space2
)
1904 return isl_space_compatible_internal(space1
, space2
);
1907 /* Update "hash" by hashing in "space".
1908 * Changes in this function should be reflected in isl_hash_space_domain.
1910 static uint32_t isl_hash_space(uint32_t hash
, __isl_keep isl_space
*space
)
1918 isl_hash_byte(hash
, space
->nparam
% 256);
1919 isl_hash_byte(hash
, space
->n_in
% 256);
1920 isl_hash_byte(hash
, space
->n_out
% 256);
1922 for (i
= 0; i
< space
->nparam
; ++i
) {
1923 id
= get_id(space
, isl_dim_param
, i
);
1924 hash
= isl_hash_id(hash
, id
);
1927 id
= tuple_id(space
, isl_dim_in
);
1928 hash
= isl_hash_id(hash
, id
);
1929 id
= tuple_id(space
, isl_dim_out
);
1930 hash
= isl_hash_id(hash
, id
);
1932 hash
= isl_hash_space(hash
, space
->nested
[0]);
1933 hash
= isl_hash_space(hash
, space
->nested
[1]);
1938 /* Update "hash" by hashing in the domain of "space".
1939 * The result of this function is equal to the result of applying
1940 * isl_hash_space to the domain of "space".
1942 static uint32_t isl_hash_space_domain(uint32_t hash
,
1943 __isl_keep isl_space
*space
)
1951 isl_hash_byte(hash
, space
->nparam
% 256);
1952 isl_hash_byte(hash
, 0);
1953 isl_hash_byte(hash
, space
->n_in
% 256);
1955 for (i
= 0; i
< space
->nparam
; ++i
) {
1956 id
= get_id(space
, isl_dim_param
, i
);
1957 hash
= isl_hash_id(hash
, id
);
1960 hash
= isl_hash_id(hash
, &isl_id_none
);
1961 id
= tuple_id(space
, isl_dim_in
);
1962 hash
= isl_hash_id(hash
, id
);
1964 hash
= isl_hash_space(hash
, space
->nested
[0]);
1969 uint32_t isl_space_get_hash(__isl_keep isl_space
*dim
)
1976 hash
= isl_hash_init();
1977 hash
= isl_hash_space(hash
, dim
);
1982 /* Return the hash value of the domain of "space".
1983 * That is, isl_space_get_domain_hash(space) is equal to
1984 * isl_space_get_hash(isl_space_domain(space)).
1986 uint32_t isl_space_get_domain_hash(__isl_keep isl_space
*space
)
1993 hash
= isl_hash_init();
1994 hash
= isl_hash_space_domain(hash
, space
);
1999 isl_bool
isl_space_is_wrapping(__isl_keep isl_space
*dim
)
2002 return isl_bool_error
;
2004 if (!isl_space_is_set(dim
))
2005 return isl_bool_false
;
2007 return dim
->nested
[1] != NULL
;
2010 /* Is "space" the space of a map where the domain is a wrapped map space?
2012 isl_bool
isl_space_domain_is_wrapping(__isl_keep isl_space
*space
)
2015 return isl_bool_error
;
2017 if (isl_space_is_set(space
))
2018 return isl_bool_false
;
2020 return space
->nested
[0] != NULL
;
2023 /* Is "space" the space of a map where the range is a wrapped map space?
2025 isl_bool
isl_space_range_is_wrapping(__isl_keep isl_space
*space
)
2028 return isl_bool_error
;
2030 if (isl_space_is_set(space
))
2031 return isl_bool_false
;
2033 return space
->nested
[1] != NULL
;
2036 __isl_give isl_space
*isl_space_wrap(__isl_take isl_space
*dim
)
2043 wrap
= isl_space_set_alloc(dim
->ctx
,
2044 dim
->nparam
, dim
->n_in
+ dim
->n_out
);
2046 wrap
= copy_ids(wrap
, isl_dim_param
, 0, dim
, isl_dim_param
);
2047 wrap
= copy_ids(wrap
, isl_dim_set
, 0, dim
, isl_dim_in
);
2048 wrap
= copy_ids(wrap
, isl_dim_set
, dim
->n_in
, dim
, isl_dim_out
);
2053 wrap
->nested
[1] = dim
;
2057 isl_space_free(dim
);
2061 __isl_give isl_space
*isl_space_unwrap(__isl_take isl_space
*dim
)
2068 if (!isl_space_is_wrapping(dim
))
2069 isl_die(dim
->ctx
, isl_error_invalid
, "not a wrapping space",
2072 unwrap
= isl_space_copy(dim
->nested
[1]);
2073 isl_space_free(dim
);
2077 isl_space_free(dim
);
2081 int isl_space_is_named_or_nested(__isl_keep isl_space
*dim
, enum isl_dim_type type
)
2083 if (type
!= isl_dim_in
&& type
!= isl_dim_out
)
2087 if (dim
->tuple_id
[type
- isl_dim_in
])
2089 if (dim
->nested
[type
- isl_dim_in
])
2094 int isl_space_may_be_set(__isl_keep isl_space
*dim
)
2098 if (isl_space_is_set(dim
))
2100 if (isl_space_dim(dim
, isl_dim_in
) != 0)
2102 if (isl_space_is_named_or_nested(dim
, isl_dim_in
))
2107 __isl_give isl_space
*isl_space_reset(__isl_take isl_space
*dim
,
2108 enum isl_dim_type type
)
2110 if (!isl_space_is_named_or_nested(dim
, type
))
2113 dim
= isl_space_cow(dim
);
2117 isl_id_free(dim
->tuple_id
[type
- isl_dim_in
]);
2118 dim
->tuple_id
[type
- isl_dim_in
] = NULL
;
2119 isl_space_free(dim
->nested
[type
- isl_dim_in
]);
2120 dim
->nested
[type
- isl_dim_in
] = NULL
;
2125 __isl_give isl_space
*isl_space_flatten(__isl_take isl_space
*dim
)
2129 if (!dim
->nested
[0] && !dim
->nested
[1])
2133 dim
= isl_space_reset(dim
, isl_dim_in
);
2134 if (dim
&& dim
->nested
[1])
2135 dim
= isl_space_reset(dim
, isl_dim_out
);
2140 __isl_give isl_space
*isl_space_flatten_domain(__isl_take isl_space
*dim
)
2144 if (!dim
->nested
[0])
2147 return isl_space_reset(dim
, isl_dim_in
);
2150 __isl_give isl_space
*isl_space_flatten_range(__isl_take isl_space
*dim
)
2154 if (!dim
->nested
[1])
2157 return isl_space_reset(dim
, isl_dim_out
);
2160 /* Replace the dimensions of the given type of dst by those of src.
2162 __isl_give isl_space
*isl_space_replace(__isl_take isl_space
*dst
,
2163 enum isl_dim_type type
, __isl_keep isl_space
*src
)
2165 dst
= isl_space_cow(dst
);
2170 dst
= isl_space_drop_dims(dst
, type
, 0, isl_space_dim(dst
, type
));
2171 dst
= isl_space_add_dims(dst
, type
, isl_space_dim(src
, type
));
2172 dst
= copy_ids(dst
, type
, 0, src
, type
);
2174 if (dst
&& type
== isl_dim_param
) {
2176 for (i
= 0; i
<= 1; ++i
) {
2177 if (!dst
->nested
[i
])
2179 dst
->nested
[i
] = isl_space_replace(dst
->nested
[i
],
2181 if (!dst
->nested
[i
])
2188 isl_space_free(dst
);
2192 /* Given a dimension specification "dim" of a set, create a dimension
2193 * specification for the lift of the set. In particular, the result
2194 * is of the form [dim -> local[..]], with n_local variables in the
2195 * range of the wrapped map.
2197 __isl_give isl_space
*isl_space_lift(__isl_take isl_space
*dim
, unsigned n_local
)
2199 isl_space
*local_dim
;
2204 local_dim
= isl_space_dup(dim
);
2205 local_dim
= isl_space_drop_dims(local_dim
, isl_dim_set
, 0, dim
->n_out
);
2206 local_dim
= isl_space_add_dims(local_dim
, isl_dim_set
, n_local
);
2207 local_dim
= isl_space_set_tuple_name(local_dim
, isl_dim_set
, "local");
2208 dim
= isl_space_join(isl_space_from_domain(dim
),
2209 isl_space_from_range(local_dim
));
2210 dim
= isl_space_wrap(dim
);
2211 dim
= isl_space_set_tuple_name(dim
, isl_dim_set
, "lifted");
2216 isl_bool
isl_space_can_zip(__isl_keep isl_space
*dim
)
2219 return isl_bool_error
;
2221 return dim
->nested
[0] && dim
->nested
[1];
2224 __isl_give isl_space
*isl_space_zip(__isl_take isl_space
*dim
)
2226 isl_space
*dom
, *ran
;
2227 isl_space
*dom_dom
, *dom_ran
, *ran_dom
, *ran_ran
;
2229 if (!isl_space_can_zip(dim
))
2230 isl_die(dim
->ctx
, isl_error_invalid
, "dim cannot be zipped",
2235 dom
= isl_space_unwrap(isl_space_domain(isl_space_copy(dim
)));
2236 ran
= isl_space_unwrap(isl_space_range(dim
));
2237 dom_dom
= isl_space_domain(isl_space_copy(dom
));
2238 dom_ran
= isl_space_range(dom
);
2239 ran_dom
= isl_space_domain(isl_space_copy(ran
));
2240 ran_ran
= isl_space_range(ran
);
2241 dom
= isl_space_join(isl_space_from_domain(dom_dom
),
2242 isl_space_from_range(ran_dom
));
2243 ran
= isl_space_join(isl_space_from_domain(dom_ran
),
2244 isl_space_from_range(ran_ran
));
2245 return isl_space_join(isl_space_from_domain(isl_space_wrap(dom
)),
2246 isl_space_from_range(isl_space_wrap(ran
)));
2248 isl_space_free(dim
);
2252 /* Can we apply isl_space_curry to "space"?
2253 * That is, does it have a nested relation in its domain?
2255 isl_bool
isl_space_can_curry(__isl_keep isl_space
*space
)
2258 return isl_bool_error
;
2260 return !!space
->nested
[0];
2263 /* Given a space (A -> B) -> C, return the corresponding space
2266 __isl_give isl_space
*isl_space_curry(__isl_take isl_space
*space
)
2268 isl_space
*dom
, *ran
;
2269 isl_space
*dom_dom
, *dom_ran
;
2274 if (!isl_space_can_curry(space
))
2275 isl_die(space
->ctx
, isl_error_invalid
,
2276 "space cannot be curried", goto error
);
2278 dom
= isl_space_unwrap(isl_space_domain(isl_space_copy(space
)));
2279 ran
= isl_space_range(space
);
2280 dom_dom
= isl_space_domain(isl_space_copy(dom
));
2281 dom_ran
= isl_space_range(dom
);
2282 ran
= isl_space_join(isl_space_from_domain(dom_ran
),
2283 isl_space_from_range(ran
));
2284 return isl_space_join(isl_space_from_domain(dom_dom
),
2285 isl_space_from_range(isl_space_wrap(ran
)));
2287 isl_space_free(space
);
2291 /* Can isl_space_range_curry be applied to "space"?
2292 * That is, does it have a nested relation in its range,
2293 * the domain of which is itself a nested relation?
2295 isl_bool
isl_space_can_range_curry(__isl_keep isl_space
*space
)
2300 return isl_bool_error
;
2301 can
= isl_space_range_is_wrapping(space
);
2302 if (can
< 0 || !can
)
2304 return isl_space_can_curry(space
->nested
[1]);
2307 /* Given a space A -> ((B -> C) -> D), return the corresponding space
2308 * A -> (B -> (C -> D)).
2310 __isl_give isl_space
*isl_space_range_curry(__isl_take isl_space
*space
)
2315 if (!isl_space_can_range_curry(space
))
2316 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
2317 "space range cannot be curried",
2318 return isl_space_free(space
));
2320 space
= isl_space_cow(space
);
2323 space
->nested
[1] = isl_space_curry(space
->nested
[1]);
2324 if (!space
->nested
[1])
2325 return isl_space_free(space
);
2330 /* Can we apply isl_space_uncurry to "space"?
2331 * That is, does it have a nested relation in its range?
2333 isl_bool
isl_space_can_uncurry(__isl_keep isl_space
*space
)
2336 return isl_bool_error
;
2338 return !!space
->nested
[1];
2341 /* Given a space A -> (B -> C), return the corresponding space
2344 __isl_give isl_space
*isl_space_uncurry(__isl_take isl_space
*space
)
2346 isl_space
*dom
, *ran
;
2347 isl_space
*ran_dom
, *ran_ran
;
2352 if (!isl_space_can_uncurry(space
))
2353 isl_die(space
->ctx
, isl_error_invalid
,
2354 "space cannot be uncurried",
2355 return isl_space_free(space
));
2357 dom
= isl_space_domain(isl_space_copy(space
));
2358 ran
= isl_space_unwrap(isl_space_range(space
));
2359 ran_dom
= isl_space_domain(isl_space_copy(ran
));
2360 ran_ran
= isl_space_range(ran
);
2361 dom
= isl_space_join(isl_space_from_domain(dom
),
2362 isl_space_from_range(ran_dom
));
2363 return isl_space_join(isl_space_from_domain(isl_space_wrap(dom
)),
2364 isl_space_from_range(ran_ran
));
2367 int isl_space_has_named_params(__isl_keep isl_space
*dim
)
2374 if (dim
->nparam
== 0)
2376 off
= isl_space_offset(dim
, isl_dim_param
);
2377 if (off
+ dim
->nparam
> dim
->n_id
)
2379 for (i
= 0; i
< dim
->nparam
; ++i
)
2380 if (!dim
->ids
[off
+ i
])
2385 /* Align the initial parameters of dim1 to match the order in dim2.
2387 __isl_give isl_space
*isl_space_align_params(__isl_take isl_space
*dim1
,
2388 __isl_take isl_space
*dim2
)
2390 isl_reordering
*exp
;
2392 if (!isl_space_has_named_params(dim1
) || !isl_space_has_named_params(dim2
))
2393 isl_die(isl_space_get_ctx(dim1
), isl_error_invalid
,
2394 "parameter alignment requires named parameters",
2397 dim2
= isl_space_params(dim2
);
2398 exp
= isl_parameter_alignment_reordering(dim1
, dim2
);
2399 exp
= isl_reordering_extend_space(exp
, dim1
);
2400 isl_space_free(dim2
);
2403 dim1
= isl_space_copy(exp
->dim
);
2404 isl_reordering_free(exp
);
2407 isl_space_free(dim1
);
2408 isl_space_free(dim2
);
2412 /* Given the space of set (domain), construct a space for a map
2413 * with as domain the given space and as range the range of "model".
2415 __isl_give isl_space
*isl_space_extend_domain_with_range(
2416 __isl_take isl_space
*space
, __isl_take isl_space
*model
)
2421 space
= isl_space_from_domain(space
);
2422 space
= isl_space_add_dims(space
, isl_dim_out
,
2423 isl_space_dim(model
, isl_dim_out
));
2424 if (isl_space_has_tuple_id(model
, isl_dim_out
))
2425 space
= isl_space_set_tuple_id(space
, isl_dim_out
,
2426 isl_space_get_tuple_id(model
, isl_dim_out
));
2429 if (model
->nested
[1]) {
2430 isl_space
*nested
= isl_space_copy(model
->nested
[1]);
2431 int n_nested
, n_space
;
2432 nested
= isl_space_align_params(nested
, isl_space_copy(space
));
2433 n_nested
= isl_space_dim(nested
, isl_dim_param
);
2434 n_space
= isl_space_dim(space
, isl_dim_param
);
2435 if (n_nested
> n_space
)
2436 nested
= isl_space_drop_dims(nested
, isl_dim_param
,
2437 n_space
, n_nested
- n_space
);
2440 space
->nested
[1] = nested
;
2442 isl_space_free(model
);
2445 isl_space_free(model
);
2446 isl_space_free(space
);
2450 /* Compare the "type" dimensions of two isl_spaces.
2452 * The order is fairly arbitrary.
2454 static int isl_space_cmp_type(__isl_keep isl_space
*space1
,
2455 __isl_keep isl_space
*space2
, enum isl_dim_type type
)
2458 isl_space
*nested1
, *nested2
;
2460 if (isl_space_dim(space1
, type
) != isl_space_dim(space2
, type
))
2461 return isl_space_dim(space1
, type
) -
2462 isl_space_dim(space2
, type
);
2464 cmp
= isl_id_cmp(tuple_id(space1
, type
), tuple_id(space2
, type
));
2468 nested1
= nested(space1
, type
);
2469 nested2
= nested(space2
, type
);
2470 if (!nested1
!= !nested2
)
2471 return !nested1
- !nested2
;
2474 return isl_space_cmp(nested1
, nested2
);
2479 /* Compare two isl_spaces.
2481 * The order is fairly arbitrary.
2483 int isl_space_cmp(__isl_keep isl_space
*space1
, __isl_keep isl_space
*space2
)
2488 if (space1
== space2
)
2495 cmp
= isl_space_cmp_type(space1
, space2
, isl_dim_param
);
2498 cmp
= isl_space_cmp_type(space1
, space2
, isl_dim_in
);
2501 cmp
= isl_space_cmp_type(space1
, space2
, isl_dim_out
);
2505 if (!space1
->ids
&& !space2
->ids
)
2508 for (i
= 0; i
< n(space1
, isl_dim_param
); ++i
) {
2509 cmp
= isl_id_cmp(get_id(space1
, isl_dim_param
, i
),
2510 get_id(space2
, isl_dim_param
, i
));