2 * Copyright 2008-2009 Katholieke Universiteit Leuven
3 * Copyright 2010 INRIA Saclay
4 * Copyright 2012 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
16 #include <isl_ctx_private.h>
17 #include <isl_map_private.h>
19 #include "isl_space_private.h"
20 #include "isl_equalities.h"
21 #include <isl_list_private.h>
26 #include "isl_map_piplib.h"
27 #include <isl_reordering.h>
28 #include "isl_sample.h"
31 #include <isl_mat_private.h>
32 #include <isl_dim_map.h>
33 #include <isl_local_space_private.h>
34 #include <isl_aff_private.h>
35 #include <isl_options_private.h>
37 static unsigned n(__isl_keep isl_space
*dim
, enum isl_dim_type type
)
40 case isl_dim_param
: return dim
->nparam
;
41 case isl_dim_in
: return dim
->n_in
;
42 case isl_dim_out
: return dim
->n_out
;
43 case isl_dim_all
: return dim
->nparam
+ dim
->n_in
+ dim
->n_out
;
48 static unsigned pos(__isl_keep isl_space
*dim
, enum isl_dim_type type
)
51 case isl_dim_param
: return 1;
52 case isl_dim_in
: return 1 + dim
->nparam
;
53 case isl_dim_out
: return 1 + dim
->nparam
+ dim
->n_in
;
58 unsigned isl_basic_map_dim(__isl_keep isl_basic_map
*bmap
,
59 enum isl_dim_type type
)
64 case isl_dim_cst
: return 1;
67 case isl_dim_out
: return isl_space_dim(bmap
->dim
, type
);
68 case isl_dim_div
: return bmap
->n_div
;
69 case isl_dim_all
: return isl_basic_map_total_dim(bmap
);
74 unsigned isl_map_dim(__isl_keep isl_map
*map
, enum isl_dim_type type
)
76 return map
? n(map
->dim
, type
) : 0;
79 unsigned isl_set_dim(__isl_keep isl_set
*set
, enum isl_dim_type type
)
81 return set
? n(set
->dim
, type
) : 0;
84 unsigned isl_basic_map_offset(struct isl_basic_map
*bmap
,
85 enum isl_dim_type type
)
87 isl_space
*dim
= bmap
->dim
;
89 case isl_dim_cst
: return 0;
90 case isl_dim_param
: return 1;
91 case isl_dim_in
: return 1 + dim
->nparam
;
92 case isl_dim_out
: return 1 + dim
->nparam
+ dim
->n_in
;
93 case isl_dim_div
: return 1 + dim
->nparam
+ dim
->n_in
+ dim
->n_out
;
98 unsigned isl_basic_set_offset(struct isl_basic_set
*bset
,
99 enum isl_dim_type type
)
101 return isl_basic_map_offset(bset
, type
);
104 static unsigned map_offset(struct isl_map
*map
, enum isl_dim_type type
)
106 return pos(map
->dim
, type
);
109 unsigned isl_basic_set_dim(__isl_keep isl_basic_set
*bset
,
110 enum isl_dim_type type
)
112 return isl_basic_map_dim(bset
, type
);
115 unsigned isl_basic_set_n_dim(__isl_keep isl_basic_set
*bset
)
117 return isl_basic_set_dim(bset
, isl_dim_set
);
120 unsigned isl_basic_set_n_param(__isl_keep isl_basic_set
*bset
)
122 return isl_basic_set_dim(bset
, isl_dim_param
);
125 unsigned isl_basic_set_total_dim(const struct isl_basic_set
*bset
)
129 return isl_space_dim(bset
->dim
, isl_dim_all
) + bset
->n_div
;
132 unsigned isl_set_n_dim(__isl_keep isl_set
*set
)
134 return isl_set_dim(set
, isl_dim_set
);
137 unsigned isl_set_n_param(__isl_keep isl_set
*set
)
139 return isl_set_dim(set
, isl_dim_param
);
142 unsigned isl_basic_map_n_in(const struct isl_basic_map
*bmap
)
144 return bmap
? bmap
->dim
->n_in
: 0;
147 unsigned isl_basic_map_n_out(const struct isl_basic_map
*bmap
)
149 return bmap
? bmap
->dim
->n_out
: 0;
152 unsigned isl_basic_map_n_param(const struct isl_basic_map
*bmap
)
154 return bmap
? bmap
->dim
->nparam
: 0;
157 unsigned isl_basic_map_n_div(const struct isl_basic_map
*bmap
)
159 return bmap
? bmap
->n_div
: 0;
162 unsigned isl_basic_map_total_dim(const struct isl_basic_map
*bmap
)
164 return bmap
? isl_space_dim(bmap
->dim
, isl_dim_all
) + bmap
->n_div
: 0;
167 unsigned isl_map_n_in(const struct isl_map
*map
)
169 return map
? map
->dim
->n_in
: 0;
172 unsigned isl_map_n_out(const struct isl_map
*map
)
174 return map
? map
->dim
->n_out
: 0;
177 unsigned isl_map_n_param(const struct isl_map
*map
)
179 return map
? map
->dim
->nparam
: 0;
182 int isl_map_compatible_domain(struct isl_map
*map
, struct isl_set
*set
)
187 m
= isl_space_match(map
->dim
, isl_dim_param
, set
->dim
, isl_dim_param
);
190 return isl_space_tuple_match(map
->dim
, isl_dim_in
, set
->dim
, isl_dim_set
);
193 int isl_basic_map_compatible_domain(struct isl_basic_map
*bmap
,
194 struct isl_basic_set
*bset
)
199 m
= isl_space_match(bmap
->dim
, isl_dim_param
, bset
->dim
, isl_dim_param
);
202 return isl_space_tuple_match(bmap
->dim
, isl_dim_in
, bset
->dim
, isl_dim_set
);
205 int isl_map_compatible_range(__isl_keep isl_map
*map
, __isl_keep isl_set
*set
)
210 m
= isl_space_match(map
->dim
, isl_dim_param
, set
->dim
, isl_dim_param
);
213 return isl_space_tuple_match(map
->dim
, isl_dim_out
, set
->dim
, isl_dim_set
);
216 int isl_basic_map_compatible_range(struct isl_basic_map
*bmap
,
217 struct isl_basic_set
*bset
)
222 m
= isl_space_match(bmap
->dim
, isl_dim_param
, bset
->dim
, isl_dim_param
);
225 return isl_space_tuple_match(bmap
->dim
, isl_dim_out
, bset
->dim
, isl_dim_set
);
228 isl_ctx
*isl_basic_map_get_ctx(__isl_keep isl_basic_map
*bmap
)
230 return bmap
? bmap
->ctx
: NULL
;
233 isl_ctx
*isl_basic_set_get_ctx(__isl_keep isl_basic_set
*bset
)
235 return bset
? bset
->ctx
: NULL
;
238 isl_ctx
*isl_map_get_ctx(__isl_keep isl_map
*map
)
240 return map
? map
->ctx
: NULL
;
243 isl_ctx
*isl_set_get_ctx(__isl_keep isl_set
*set
)
245 return set
? set
->ctx
: NULL
;
248 __isl_give isl_space
*isl_basic_map_get_space(__isl_keep isl_basic_map
*bmap
)
252 return isl_space_copy(bmap
->dim
);
255 __isl_give isl_space
*isl_basic_set_get_space(__isl_keep isl_basic_set
*bset
)
259 return isl_space_copy(bset
->dim
);
262 /* Extract the divs in "bmap" as a matrix.
264 __isl_give isl_mat
*isl_basic_map_get_divs(__isl_keep isl_basic_map
*bmap
)
275 ctx
= isl_basic_map_get_ctx(bmap
);
276 total
= isl_space_dim(bmap
->dim
, isl_dim_all
);
277 cols
= 1 + 1 + total
+ bmap
->n_div
;
278 div
= isl_mat_alloc(ctx
, bmap
->n_div
, cols
);
282 for (i
= 0; i
< bmap
->n_div
; ++i
)
283 isl_seq_cpy(div
->row
[i
], bmap
->div
[i
], cols
);
288 __isl_give isl_local_space
*isl_basic_map_get_local_space(
289 __isl_keep isl_basic_map
*bmap
)
296 div
= isl_basic_map_get_divs(bmap
);
297 return isl_local_space_alloc_div(isl_space_copy(bmap
->dim
), div
);
300 __isl_give isl_local_space
*isl_basic_set_get_local_space(
301 __isl_keep isl_basic_set
*bset
)
303 return isl_basic_map_get_local_space(bset
);
306 __isl_give isl_basic_map
*isl_basic_map_from_local_space(
307 __isl_take isl_local_space
*ls
)
316 n_div
= isl_local_space_dim(ls
, isl_dim_div
);
317 bmap
= isl_basic_map_alloc_space(isl_local_space_get_space(ls
),
318 n_div
, 0, 2 * n_div
);
320 for (i
= 0; i
< n_div
; ++i
)
321 if (isl_basic_map_alloc_div(bmap
) < 0)
324 for (i
= 0; i
< n_div
; ++i
) {
325 isl_seq_cpy(bmap
->div
[i
], ls
->div
->row
[i
], ls
->div
->n_col
);
326 if (isl_basic_map_add_div_constraints(bmap
, i
) < 0)
330 isl_local_space_free(ls
);
333 isl_local_space_free(ls
);
334 isl_basic_map_free(bmap
);
338 __isl_give isl_basic_set
*isl_basic_set_from_local_space(
339 __isl_take isl_local_space
*ls
)
341 return isl_basic_map_from_local_space(ls
);
344 __isl_give isl_space
*isl_map_get_space(__isl_keep isl_map
*map
)
348 return isl_space_copy(map
->dim
);
351 __isl_give isl_space
*isl_set_get_space(__isl_keep isl_set
*set
)
355 return isl_space_copy(set
->dim
);
358 __isl_give isl_basic_map
*isl_basic_map_set_tuple_name(
359 __isl_take isl_basic_map
*bmap
, enum isl_dim_type type
, const char *s
)
361 bmap
= isl_basic_map_cow(bmap
);
364 bmap
->dim
= isl_space_set_tuple_name(bmap
->dim
, type
, s
);
367 bmap
= isl_basic_map_finalize(bmap
);
370 isl_basic_map_free(bmap
);
374 __isl_give isl_basic_set
*isl_basic_set_set_tuple_name(
375 __isl_take isl_basic_set
*bset
, const char *s
)
377 return isl_basic_map_set_tuple_name(bset
, isl_dim_set
, s
);
380 const char *isl_basic_map_get_tuple_name(__isl_keep isl_basic_map
*bmap
,
381 enum isl_dim_type type
)
383 return bmap
? isl_space_get_tuple_name(bmap
->dim
, type
) : NULL
;
386 __isl_give isl_map
*isl_map_set_tuple_name(__isl_take isl_map
*map
,
387 enum isl_dim_type type
, const char *s
)
391 map
= isl_map_cow(map
);
395 map
->dim
= isl_space_set_tuple_name(map
->dim
, type
, s
);
399 for (i
= 0; i
< map
->n
; ++i
) {
400 map
->p
[i
] = isl_basic_map_set_tuple_name(map
->p
[i
], type
, s
);
411 /* Does the input or output tuple have a name?
413 int isl_map_has_tuple_name(__isl_keep isl_map
*map
, enum isl_dim_type type
)
415 return map
? isl_space_has_tuple_name(map
->dim
, type
) : -1;
418 const char *isl_map_get_tuple_name(__isl_keep isl_map
*map
,
419 enum isl_dim_type type
)
421 return map
? isl_space_get_tuple_name(map
->dim
, type
) : NULL
;
424 __isl_give isl_set
*isl_set_set_tuple_name(__isl_take isl_set
*set
,
427 return (isl_set
*)isl_map_set_tuple_name((isl_map
*)set
, isl_dim_set
, s
);
430 __isl_give isl_map
*isl_map_set_tuple_id(__isl_take isl_map
*map
,
431 enum isl_dim_type type
, __isl_take isl_id
*id
)
433 map
= isl_map_cow(map
);
435 return isl_id_free(id
);
437 map
->dim
= isl_space_set_tuple_id(map
->dim
, type
, id
);
439 return isl_map_reset_space(map
, isl_space_copy(map
->dim
));
442 __isl_give isl_set
*isl_set_set_tuple_id(__isl_take isl_set
*set
,
443 __isl_take isl_id
*id
)
445 return isl_map_set_tuple_id(set
, isl_dim_set
, id
);
448 __isl_give isl_map
*isl_map_reset_tuple_id(__isl_take isl_map
*map
,
449 enum isl_dim_type type
)
451 map
= isl_map_cow(map
);
455 map
->dim
= isl_space_reset_tuple_id(map
->dim
, type
);
457 return isl_map_reset_space(map
, isl_space_copy(map
->dim
));
460 __isl_give isl_set
*isl_set_reset_tuple_id(__isl_take isl_set
*set
)
462 return isl_map_reset_tuple_id(set
, isl_dim_set
);
465 int isl_map_has_tuple_id(__isl_keep isl_map
*map
, enum isl_dim_type type
)
467 return map
? isl_space_has_tuple_id(map
->dim
, type
) : -1;
470 __isl_give isl_id
*isl_map_get_tuple_id(__isl_keep isl_map
*map
,
471 enum isl_dim_type type
)
473 return map
? isl_space_get_tuple_id(map
->dim
, type
) : NULL
;
476 int isl_set_has_tuple_id(__isl_keep isl_set
*set
)
478 return isl_map_has_tuple_id(set
, isl_dim_set
);
481 __isl_give isl_id
*isl_set_get_tuple_id(__isl_keep isl_set
*set
)
483 return isl_map_get_tuple_id(set
, isl_dim_set
);
486 /* Does the set tuple have a name?
488 int isl_set_has_tuple_name(__isl_keep isl_set
*set
)
490 return set
? isl_space_has_tuple_name(set
->dim
, isl_dim_set
) : -1;
494 const char *isl_basic_set_get_tuple_name(__isl_keep isl_basic_set
*bset
)
496 return bset
? isl_space_get_tuple_name(bset
->dim
, isl_dim_set
) : NULL
;
499 const char *isl_set_get_tuple_name(__isl_keep isl_set
*set
)
501 return set
? isl_space_get_tuple_name(set
->dim
, isl_dim_set
) : NULL
;
504 const char *isl_basic_map_get_dim_name(__isl_keep isl_basic_map
*bmap
,
505 enum isl_dim_type type
, unsigned pos
)
507 return bmap
? isl_space_get_dim_name(bmap
->dim
, type
, pos
) : NULL
;
510 const char *isl_basic_set_get_dim_name(__isl_keep isl_basic_set
*bset
,
511 enum isl_dim_type type
, unsigned pos
)
513 return bset
? isl_space_get_dim_name(bset
->dim
, type
, pos
) : NULL
;
516 /* Does the given dimension have a name?
518 int isl_map_has_dim_name(__isl_keep isl_map
*map
,
519 enum isl_dim_type type
, unsigned pos
)
521 return map
? isl_space_has_dim_name(map
->dim
, type
, pos
) : -1;
524 const char *isl_map_get_dim_name(__isl_keep isl_map
*map
,
525 enum isl_dim_type type
, unsigned pos
)
527 return map
? isl_space_get_dim_name(map
->dim
, type
, pos
) : NULL
;
530 const char *isl_set_get_dim_name(__isl_keep isl_set
*set
,
531 enum isl_dim_type type
, unsigned pos
)
533 return set
? isl_space_get_dim_name(set
->dim
, type
, pos
) : NULL
;
536 /* Does the given dimension have a name?
538 int isl_set_has_dim_name(__isl_keep isl_set
*set
,
539 enum isl_dim_type type
, unsigned pos
)
541 return set
? isl_space_has_dim_name(set
->dim
, type
, pos
) : -1;
544 __isl_give isl_basic_map
*isl_basic_map_set_dim_name(
545 __isl_take isl_basic_map
*bmap
,
546 enum isl_dim_type type
, unsigned pos
, const char *s
)
548 bmap
= isl_basic_map_cow(bmap
);
551 bmap
->dim
= isl_space_set_dim_name(bmap
->dim
, type
, pos
, s
);
554 return isl_basic_map_finalize(bmap
);
556 isl_basic_map_free(bmap
);
560 __isl_give isl_map
*isl_map_set_dim_name(__isl_take isl_map
*map
,
561 enum isl_dim_type type
, unsigned pos
, const char *s
)
565 map
= isl_map_cow(map
);
569 map
->dim
= isl_space_set_dim_name(map
->dim
, type
, pos
, s
);
573 for (i
= 0; i
< map
->n
; ++i
) {
574 map
->p
[i
] = isl_basic_map_set_dim_name(map
->p
[i
], type
, pos
, s
);
585 __isl_give isl_basic_set
*isl_basic_set_set_dim_name(
586 __isl_take isl_basic_set
*bset
,
587 enum isl_dim_type type
, unsigned pos
, const char *s
)
589 return (isl_basic_set
*)isl_basic_map_set_dim_name(
590 (isl_basic_map
*)bset
, type
, pos
, s
);
593 __isl_give isl_set
*isl_set_set_dim_name(__isl_take isl_set
*set
,
594 enum isl_dim_type type
, unsigned pos
, const char *s
)
596 return (isl_set
*)isl_map_set_dim_name((isl_map
*)set
, type
, pos
, s
);
599 int isl_basic_map_has_dim_id(__isl_keep isl_basic_map
*bmap
,
600 enum isl_dim_type type
, unsigned pos
)
602 return bmap
? isl_space_has_dim_id(bmap
->dim
, type
, pos
) : -1;
605 __isl_give isl_id
*isl_basic_set_get_dim_id(__isl_keep isl_basic_set
*bset
,
606 enum isl_dim_type type
, unsigned pos
)
608 return bset
? isl_space_get_dim_id(bset
->dim
, type
, pos
) : NULL
;
611 int isl_map_has_dim_id(__isl_keep isl_map
*map
,
612 enum isl_dim_type type
, unsigned pos
)
614 return map
? isl_space_has_dim_id(map
->dim
, type
, pos
) : -1;
617 __isl_give isl_id
*isl_map_get_dim_id(__isl_keep isl_map
*map
,
618 enum isl_dim_type type
, unsigned pos
)
620 return map
? isl_space_get_dim_id(map
->dim
, type
, pos
) : NULL
;
623 int isl_set_has_dim_id(__isl_keep isl_set
*set
,
624 enum isl_dim_type type
, unsigned pos
)
626 return isl_map_has_dim_id(set
, type
, pos
);
629 __isl_give isl_id
*isl_set_get_dim_id(__isl_keep isl_set
*set
,
630 enum isl_dim_type type
, unsigned pos
)
632 return isl_map_get_dim_id(set
, type
, pos
);
635 __isl_give isl_map
*isl_map_set_dim_id(__isl_take isl_map
*map
,
636 enum isl_dim_type type
, unsigned pos
, __isl_take isl_id
*id
)
638 map
= isl_map_cow(map
);
640 return isl_id_free(id
);
642 map
->dim
= isl_space_set_dim_id(map
->dim
, type
, pos
, id
);
644 return isl_map_reset_space(map
, isl_space_copy(map
->dim
));
647 __isl_give isl_set
*isl_set_set_dim_id(__isl_take isl_set
*set
,
648 enum isl_dim_type type
, unsigned pos
, __isl_take isl_id
*id
)
650 return isl_map_set_dim_id(set
, type
, pos
, id
);
653 int isl_map_find_dim_by_id(__isl_keep isl_map
*map
, enum isl_dim_type type
,
654 __isl_keep isl_id
*id
)
658 return isl_space_find_dim_by_id(map
->dim
, type
, id
);
661 int isl_set_find_dim_by_id(__isl_keep isl_set
*set
, enum isl_dim_type type
,
662 __isl_keep isl_id
*id
)
664 return isl_map_find_dim_by_id(set
, type
, id
);
667 int isl_map_find_dim_by_name(__isl_keep isl_map
*map
, enum isl_dim_type type
,
672 return isl_space_find_dim_by_name(map
->dim
, type
, name
);
675 int isl_set_find_dim_by_name(__isl_keep isl_set
*set
, enum isl_dim_type type
,
678 return isl_map_find_dim_by_name(set
, type
, name
);
681 int isl_basic_map_is_rational(__isl_keep isl_basic_map
*bmap
)
685 return ISL_F_ISSET(bmap
, ISL_BASIC_MAP_RATIONAL
);
688 int isl_basic_set_is_rational(__isl_keep isl_basic_set
*bset
)
690 return isl_basic_map_is_rational(bset
);
693 /* Does "bmap" contain any rational points?
695 * If "bmap" has an equality for each dimension, equating the dimension
696 * to an integer constant, then it has no rational points, even if it
697 * is marked as rational.
699 int isl_basic_map_has_rational(__isl_keep isl_basic_map
*bmap
)
701 int has_rational
= 1;
706 if (isl_basic_map_plain_is_empty(bmap
))
708 if (!isl_basic_map_is_rational(bmap
))
710 bmap
= isl_basic_map_copy(bmap
);
711 bmap
= isl_basic_map_implicit_equalities(bmap
);
714 total
= isl_basic_map_total_dim(bmap
);
715 if (bmap
->n_eq
== total
) {
717 for (i
= 0; i
< bmap
->n_eq
; ++i
) {
718 j
= isl_seq_first_non_zero(bmap
->eq
[i
] + 1, total
);
721 if (!isl_int_is_one(bmap
->eq
[i
][1 + j
]) &&
722 !isl_int_is_negone(bmap
->eq
[i
][1 + j
]))
724 j
= isl_seq_first_non_zero(bmap
->eq
[i
] + 1 + j
+ 1,
732 isl_basic_map_free(bmap
);
737 /* Does "map" contain any rational points?
739 int isl_map_has_rational(__isl_keep isl_map
*map
)
746 for (i
= 0; i
< map
->n
; ++i
) {
747 has_rational
= isl_basic_map_has_rational(map
->p
[i
]);
748 if (has_rational
< 0)
756 /* Does "set" contain any rational points?
758 int isl_set_has_rational(__isl_keep isl_set
*set
)
760 return isl_map_has_rational(set
);
763 /* Is this basic set a parameter domain?
765 int isl_basic_set_is_params(__isl_keep isl_basic_set
*bset
)
769 return isl_space_is_params(bset
->dim
);
772 /* Is this set a parameter domain?
774 int isl_set_is_params(__isl_keep isl_set
*set
)
778 return isl_space_is_params(set
->dim
);
781 /* Is this map actually a parameter domain?
782 * Users should never call this function. Outside of isl,
783 * a map can never be a parameter domain.
785 int isl_map_is_params(__isl_keep isl_map
*map
)
789 return isl_space_is_params(map
->dim
);
792 static struct isl_basic_map
*basic_map_init(struct isl_ctx
*ctx
,
793 struct isl_basic_map
*bmap
, unsigned extra
,
794 unsigned n_eq
, unsigned n_ineq
)
797 size_t row_size
= 1 + isl_space_dim(bmap
->dim
, isl_dim_all
) + extra
;
802 bmap
->block
= isl_blk_alloc(ctx
, (n_ineq
+ n_eq
) * row_size
);
803 if (isl_blk_is_error(bmap
->block
))
806 bmap
->ineq
= isl_alloc_array(ctx
, isl_int
*, n_ineq
+ n_eq
);
811 bmap
->block2
= isl_blk_empty();
814 bmap
->block2
= isl_blk_alloc(ctx
, extra
* (1 + row_size
));
815 if (isl_blk_is_error(bmap
->block2
))
818 bmap
->div
= isl_alloc_array(ctx
, isl_int
*, extra
);
823 for (i
= 0; i
< n_ineq
+ n_eq
; ++i
)
824 bmap
->ineq
[i
] = bmap
->block
.data
+ i
* row_size
;
826 for (i
= 0; i
< extra
; ++i
)
827 bmap
->div
[i
] = bmap
->block2
.data
+ i
* (1 + row_size
);
831 bmap
->c_size
= n_eq
+ n_ineq
;
832 bmap
->eq
= bmap
->ineq
+ n_ineq
;
841 isl_basic_map_free(bmap
);
845 struct isl_basic_set
*isl_basic_set_alloc(struct isl_ctx
*ctx
,
846 unsigned nparam
, unsigned dim
, unsigned extra
,
847 unsigned n_eq
, unsigned n_ineq
)
849 struct isl_basic_map
*bmap
;
852 space
= isl_space_set_alloc(ctx
, nparam
, dim
);
856 bmap
= isl_basic_map_alloc_space(space
, extra
, n_eq
, n_ineq
);
857 return (struct isl_basic_set
*)bmap
;
860 struct isl_basic_set
*isl_basic_set_alloc_space(__isl_take isl_space
*dim
,
861 unsigned extra
, unsigned n_eq
, unsigned n_ineq
)
863 struct isl_basic_map
*bmap
;
866 isl_assert(dim
->ctx
, dim
->n_in
== 0, goto error
);
867 bmap
= isl_basic_map_alloc_space(dim
, extra
, n_eq
, n_ineq
);
868 return (struct isl_basic_set
*)bmap
;
874 struct isl_basic_map
*isl_basic_map_alloc_space(__isl_take isl_space
*dim
,
875 unsigned extra
, unsigned n_eq
, unsigned n_ineq
)
877 struct isl_basic_map
*bmap
;
881 bmap
= isl_calloc_type(dim
->ctx
, struct isl_basic_map
);
886 return basic_map_init(dim
->ctx
, bmap
, extra
, n_eq
, n_ineq
);
892 struct isl_basic_map
*isl_basic_map_alloc(struct isl_ctx
*ctx
,
893 unsigned nparam
, unsigned in
, unsigned out
, unsigned extra
,
894 unsigned n_eq
, unsigned n_ineq
)
896 struct isl_basic_map
*bmap
;
899 dim
= isl_space_alloc(ctx
, nparam
, in
, out
);
903 bmap
= isl_basic_map_alloc_space(dim
, extra
, n_eq
, n_ineq
);
907 static void dup_constraints(
908 struct isl_basic_map
*dst
, struct isl_basic_map
*src
)
911 unsigned total
= isl_basic_map_total_dim(src
);
913 for (i
= 0; i
< src
->n_eq
; ++i
) {
914 int j
= isl_basic_map_alloc_equality(dst
);
915 isl_seq_cpy(dst
->eq
[j
], src
->eq
[i
], 1+total
);
918 for (i
= 0; i
< src
->n_ineq
; ++i
) {
919 int j
= isl_basic_map_alloc_inequality(dst
);
920 isl_seq_cpy(dst
->ineq
[j
], src
->ineq
[i
], 1+total
);
923 for (i
= 0; i
< src
->n_div
; ++i
) {
924 int j
= isl_basic_map_alloc_div(dst
);
925 isl_seq_cpy(dst
->div
[j
], src
->div
[i
], 1+1+total
);
927 ISL_F_SET(dst
, ISL_BASIC_SET_FINAL
);
930 struct isl_basic_map
*isl_basic_map_dup(struct isl_basic_map
*bmap
)
932 struct isl_basic_map
*dup
;
936 dup
= isl_basic_map_alloc_space(isl_space_copy(bmap
->dim
),
937 bmap
->n_div
, bmap
->n_eq
, bmap
->n_ineq
);
940 dup_constraints(dup
, bmap
);
941 dup
->flags
= bmap
->flags
;
942 dup
->sample
= isl_vec_copy(bmap
->sample
);
946 struct isl_basic_set
*isl_basic_set_dup(struct isl_basic_set
*bset
)
948 struct isl_basic_map
*dup
;
950 dup
= isl_basic_map_dup((struct isl_basic_map
*)bset
);
951 return (struct isl_basic_set
*)dup
;
954 struct isl_basic_set
*isl_basic_set_copy(struct isl_basic_set
*bset
)
959 if (ISL_F_ISSET(bset
, ISL_BASIC_SET_FINAL
)) {
963 return isl_basic_set_dup(bset
);
966 struct isl_set
*isl_set_copy(struct isl_set
*set
)
975 struct isl_basic_map
*isl_basic_map_copy(struct isl_basic_map
*bmap
)
980 if (ISL_F_ISSET(bmap
, ISL_BASIC_SET_FINAL
)) {
984 bmap
= isl_basic_map_dup(bmap
);
986 ISL_F_SET(bmap
, ISL_BASIC_SET_FINAL
);
990 struct isl_map
*isl_map_copy(struct isl_map
*map
)
999 void *isl_basic_map_free(__isl_take isl_basic_map
*bmap
)
1004 if (--bmap
->ref
> 0)
1007 isl_ctx_deref(bmap
->ctx
);
1009 isl_blk_free(bmap
->ctx
, bmap
->block2
);
1011 isl_blk_free(bmap
->ctx
, bmap
->block
);
1012 isl_vec_free(bmap
->sample
);
1013 isl_space_free(bmap
->dim
);
1019 void *isl_basic_set_free(struct isl_basic_set
*bset
)
1021 return isl_basic_map_free((struct isl_basic_map
*)bset
);
1024 static int room_for_con(struct isl_basic_map
*bmap
, unsigned n
)
1026 return bmap
->n_eq
+ bmap
->n_ineq
+ n
<= bmap
->c_size
;
1029 __isl_give isl_map
*isl_map_align_params_map_map_and(
1030 __isl_take isl_map
*map1
, __isl_take isl_map
*map2
,
1031 __isl_give isl_map
*(*fn
)(__isl_take isl_map
*map1
,
1032 __isl_take isl_map
*map2
))
1036 if (isl_space_match(map1
->dim
, isl_dim_param
, map2
->dim
, isl_dim_param
))
1037 return fn(map1
, map2
);
1038 if (!isl_space_has_named_params(map1
->dim
) ||
1039 !isl_space_has_named_params(map2
->dim
))
1040 isl_die(map1
->ctx
, isl_error_invalid
,
1041 "unaligned unnamed parameters", goto error
);
1042 map1
= isl_map_align_params(map1
, isl_map_get_space(map2
));
1043 map2
= isl_map_align_params(map2
, isl_map_get_space(map1
));
1044 return fn(map1
, map2
);
1051 int isl_map_align_params_map_map_and_test(__isl_keep isl_map
*map1
,
1052 __isl_keep isl_map
*map2
,
1053 int (*fn
)(__isl_keep isl_map
*map1
, __isl_keep isl_map
*map2
))
1059 if (isl_space_match(map1
->dim
, isl_dim_param
, map2
->dim
, isl_dim_param
))
1060 return fn(map1
, map2
);
1061 if (!isl_space_has_named_params(map1
->dim
) ||
1062 !isl_space_has_named_params(map2
->dim
))
1063 isl_die(map1
->ctx
, isl_error_invalid
,
1064 "unaligned unnamed parameters", return -1);
1065 map1
= isl_map_copy(map1
);
1066 map2
= isl_map_copy(map2
);
1067 map1
= isl_map_align_params(map1
, isl_map_get_space(map2
));
1068 map2
= isl_map_align_params(map2
, isl_map_get_space(map1
));
1075 int isl_basic_map_alloc_equality(struct isl_basic_map
*bmap
)
1077 struct isl_ctx
*ctx
;
1081 isl_assert(ctx
, room_for_con(bmap
, 1), return -1);
1082 isl_assert(ctx
, (bmap
->eq
- bmap
->ineq
) + bmap
->n_eq
<= bmap
->c_size
,
1084 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
1085 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NO_REDUNDANT
);
1086 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NO_IMPLICIT
);
1087 ISL_F_CLR(bmap
, ISL_BASIC_MAP_ALL_EQUALITIES
);
1088 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED_DIVS
);
1089 if ((bmap
->eq
- bmap
->ineq
) + bmap
->n_eq
== bmap
->c_size
) {
1091 int j
= isl_basic_map_alloc_inequality(bmap
);
1095 bmap
->ineq
[j
] = bmap
->ineq
[bmap
->n_ineq
- 1];
1096 bmap
->ineq
[bmap
->n_ineq
- 1] = bmap
->eq
[-1];
1103 isl_seq_clr(bmap
->eq
[bmap
->n_eq
] + 1 + isl_basic_map_total_dim(bmap
),
1104 bmap
->extra
- bmap
->n_div
);
1105 return bmap
->n_eq
++;
1108 int isl_basic_set_alloc_equality(struct isl_basic_set
*bset
)
1110 return isl_basic_map_alloc_equality((struct isl_basic_map
*)bset
);
1113 int isl_basic_map_free_equality(struct isl_basic_map
*bmap
, unsigned n
)
1117 isl_assert(bmap
->ctx
, n
<= bmap
->n_eq
, return -1);
1122 int isl_basic_set_free_equality(struct isl_basic_set
*bset
, unsigned n
)
1124 return isl_basic_map_free_equality((struct isl_basic_map
*)bset
, n
);
1127 int isl_basic_map_drop_equality(struct isl_basic_map
*bmap
, unsigned pos
)
1132 isl_assert(bmap
->ctx
, pos
< bmap
->n_eq
, return -1);
1134 if (pos
!= bmap
->n_eq
- 1) {
1136 bmap
->eq
[pos
] = bmap
->eq
[bmap
->n_eq
- 1];
1137 bmap
->eq
[bmap
->n_eq
- 1] = t
;
1143 int isl_basic_set_drop_equality(struct isl_basic_set
*bset
, unsigned pos
)
1145 return isl_basic_map_drop_equality((struct isl_basic_map
*)bset
, pos
);
1148 void isl_basic_map_inequality_to_equality(
1149 struct isl_basic_map
*bmap
, unsigned pos
)
1153 t
= bmap
->ineq
[pos
];
1154 bmap
->ineq
[pos
] = bmap
->ineq
[bmap
->n_ineq
- 1];
1155 bmap
->ineq
[bmap
->n_ineq
- 1] = bmap
->eq
[-1];
1160 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NO_REDUNDANT
);
1161 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
1162 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED_DIVS
);
1163 ISL_F_CLR(bmap
, ISL_BASIC_MAP_ALL_EQUALITIES
);
1166 static int room_for_ineq(struct isl_basic_map
*bmap
, unsigned n
)
1168 return bmap
->n_ineq
+ n
<= bmap
->eq
- bmap
->ineq
;
1171 int isl_basic_map_alloc_inequality(struct isl_basic_map
*bmap
)
1173 struct isl_ctx
*ctx
;
1177 isl_assert(ctx
, room_for_ineq(bmap
, 1), return -1);
1178 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NO_IMPLICIT
);
1179 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NO_REDUNDANT
);
1180 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
1181 ISL_F_CLR(bmap
, ISL_BASIC_MAP_ALL_EQUALITIES
);
1182 isl_seq_clr(bmap
->ineq
[bmap
->n_ineq
] +
1183 1 + isl_basic_map_total_dim(bmap
),
1184 bmap
->extra
- bmap
->n_div
);
1185 return bmap
->n_ineq
++;
1188 int isl_basic_set_alloc_inequality(struct isl_basic_set
*bset
)
1190 return isl_basic_map_alloc_inequality((struct isl_basic_map
*)bset
);
1193 int isl_basic_map_free_inequality(struct isl_basic_map
*bmap
, unsigned n
)
1197 isl_assert(bmap
->ctx
, n
<= bmap
->n_ineq
, return -1);
1202 int isl_basic_set_free_inequality(struct isl_basic_set
*bset
, unsigned n
)
1204 return isl_basic_map_free_inequality((struct isl_basic_map
*)bset
, n
);
1207 int isl_basic_map_drop_inequality(struct isl_basic_map
*bmap
, unsigned pos
)
1212 isl_assert(bmap
->ctx
, pos
< bmap
->n_ineq
, return -1);
1214 if (pos
!= bmap
->n_ineq
- 1) {
1215 t
= bmap
->ineq
[pos
];
1216 bmap
->ineq
[pos
] = bmap
->ineq
[bmap
->n_ineq
- 1];
1217 bmap
->ineq
[bmap
->n_ineq
- 1] = t
;
1218 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
1224 int isl_basic_set_drop_inequality(struct isl_basic_set
*bset
, unsigned pos
)
1226 return isl_basic_map_drop_inequality((struct isl_basic_map
*)bset
, pos
);
1229 __isl_give isl_basic_map
*isl_basic_map_add_eq(__isl_take isl_basic_map
*bmap
,
1234 bmap
= isl_basic_map_extend_constraints(bmap
, 1, 0);
1237 k
= isl_basic_map_alloc_equality(bmap
);
1240 isl_seq_cpy(bmap
->eq
[k
], eq
, 1 + isl_basic_map_total_dim(bmap
));
1243 isl_basic_map_free(bmap
);
1247 __isl_give isl_basic_set
*isl_basic_set_add_eq(__isl_take isl_basic_set
*bset
,
1250 return (isl_basic_set
*)
1251 isl_basic_map_add_eq((isl_basic_map
*)bset
, eq
);
1254 __isl_give isl_basic_map
*isl_basic_map_add_ineq(__isl_take isl_basic_map
*bmap
,
1259 bmap
= isl_basic_map_extend_constraints(bmap
, 0, 1);
1262 k
= isl_basic_map_alloc_inequality(bmap
);
1265 isl_seq_cpy(bmap
->ineq
[k
], ineq
, 1 + isl_basic_map_total_dim(bmap
));
1268 isl_basic_map_free(bmap
);
1272 __isl_give isl_basic_set
*isl_basic_set_add_ineq(__isl_take isl_basic_set
*bset
,
1275 return (isl_basic_set
*)
1276 isl_basic_map_add_ineq((isl_basic_map
*)bset
, ineq
);
1279 int isl_basic_map_alloc_div(struct isl_basic_map
*bmap
)
1283 isl_assert(bmap
->ctx
, bmap
->n_div
< bmap
->extra
, return -1);
1284 isl_seq_clr(bmap
->div
[bmap
->n_div
] +
1285 1 + 1 + isl_basic_map_total_dim(bmap
),
1286 bmap
->extra
- bmap
->n_div
);
1287 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED_DIVS
);
1288 return bmap
->n_div
++;
1291 int isl_basic_set_alloc_div(struct isl_basic_set
*bset
)
1293 return isl_basic_map_alloc_div((struct isl_basic_map
*)bset
);
1296 int isl_basic_map_free_div(struct isl_basic_map
*bmap
, unsigned n
)
1300 isl_assert(bmap
->ctx
, n
<= bmap
->n_div
, return -1);
1305 int isl_basic_set_free_div(struct isl_basic_set
*bset
, unsigned n
)
1307 return isl_basic_map_free_div((struct isl_basic_map
*)bset
, n
);
1310 /* Copy constraint from src to dst, putting the vars of src at offset
1311 * dim_off in dst and the divs of src at offset div_off in dst.
1312 * If both sets are actually map, then dim_off applies to the input
1315 static void copy_constraint(struct isl_basic_map
*dst_map
, isl_int
*dst
,
1316 struct isl_basic_map
*src_map
, isl_int
*src
,
1317 unsigned in_off
, unsigned out_off
, unsigned div_off
)
1319 unsigned src_nparam
= isl_basic_map_n_param(src_map
);
1320 unsigned dst_nparam
= isl_basic_map_n_param(dst_map
);
1321 unsigned src_in
= isl_basic_map_n_in(src_map
);
1322 unsigned dst_in
= isl_basic_map_n_in(dst_map
);
1323 unsigned src_out
= isl_basic_map_n_out(src_map
);
1324 unsigned dst_out
= isl_basic_map_n_out(dst_map
);
1325 isl_int_set(dst
[0], src
[0]);
1326 isl_seq_cpy(dst
+1, src
+1, isl_min(dst_nparam
, src_nparam
));
1327 if (dst_nparam
> src_nparam
)
1328 isl_seq_clr(dst
+1+src_nparam
,
1329 dst_nparam
- src_nparam
);
1330 isl_seq_clr(dst
+1+dst_nparam
, in_off
);
1331 isl_seq_cpy(dst
+1+dst_nparam
+in_off
,
1333 isl_min(dst_in
-in_off
, src_in
));
1334 if (dst_in
-in_off
> src_in
)
1335 isl_seq_clr(dst
+1+dst_nparam
+in_off
+src_in
,
1336 dst_in
- in_off
- src_in
);
1337 isl_seq_clr(dst
+1+dst_nparam
+dst_in
, out_off
);
1338 isl_seq_cpy(dst
+1+dst_nparam
+dst_in
+out_off
,
1339 src
+1+src_nparam
+src_in
,
1340 isl_min(dst_out
-out_off
, src_out
));
1341 if (dst_out
-out_off
> src_out
)
1342 isl_seq_clr(dst
+1+dst_nparam
+dst_in
+out_off
+src_out
,
1343 dst_out
- out_off
- src_out
);
1344 isl_seq_clr(dst
+1+dst_nparam
+dst_in
+dst_out
, div_off
);
1345 isl_seq_cpy(dst
+1+dst_nparam
+dst_in
+dst_out
+div_off
,
1346 src
+1+src_nparam
+src_in
+src_out
,
1347 isl_min(dst_map
->extra
-div_off
, src_map
->n_div
));
1348 if (dst_map
->n_div
-div_off
> src_map
->n_div
)
1349 isl_seq_clr(dst
+1+dst_nparam
+dst_in
+dst_out
+
1350 div_off
+src_map
->n_div
,
1351 dst_map
->n_div
- div_off
- src_map
->n_div
);
1354 static void copy_div(struct isl_basic_map
*dst_map
, isl_int
*dst
,
1355 struct isl_basic_map
*src_map
, isl_int
*src
,
1356 unsigned in_off
, unsigned out_off
, unsigned div_off
)
1358 isl_int_set(dst
[0], src
[0]);
1359 copy_constraint(dst_map
, dst
+1, src_map
, src
+1, in_off
, out_off
, div_off
);
1362 static struct isl_basic_map
*add_constraints(struct isl_basic_map
*bmap1
,
1363 struct isl_basic_map
*bmap2
, unsigned i_pos
, unsigned o_pos
)
1368 if (!bmap1
|| !bmap2
)
1371 div_off
= bmap1
->n_div
;
1373 for (i
= 0; i
< bmap2
->n_eq
; ++i
) {
1374 int i1
= isl_basic_map_alloc_equality(bmap1
);
1377 copy_constraint(bmap1
, bmap1
->eq
[i1
], bmap2
, bmap2
->eq
[i
],
1378 i_pos
, o_pos
, div_off
);
1381 for (i
= 0; i
< bmap2
->n_ineq
; ++i
) {
1382 int i1
= isl_basic_map_alloc_inequality(bmap1
);
1385 copy_constraint(bmap1
, bmap1
->ineq
[i1
], bmap2
, bmap2
->ineq
[i
],
1386 i_pos
, o_pos
, div_off
);
1389 for (i
= 0; i
< bmap2
->n_div
; ++i
) {
1390 int i1
= isl_basic_map_alloc_div(bmap1
);
1393 copy_div(bmap1
, bmap1
->div
[i1
], bmap2
, bmap2
->div
[i
],
1394 i_pos
, o_pos
, div_off
);
1397 isl_basic_map_free(bmap2
);
1402 isl_basic_map_free(bmap1
);
1403 isl_basic_map_free(bmap2
);
1407 struct isl_basic_set
*isl_basic_set_add_constraints(struct isl_basic_set
*bset1
,
1408 struct isl_basic_set
*bset2
, unsigned pos
)
1410 return (struct isl_basic_set
*)
1411 add_constraints((struct isl_basic_map
*)bset1
,
1412 (struct isl_basic_map
*)bset2
, 0, pos
);
1415 struct isl_basic_map
*isl_basic_map_extend_space(struct isl_basic_map
*base
,
1416 __isl_take isl_space
*dim
, unsigned extra
,
1417 unsigned n_eq
, unsigned n_ineq
)
1419 struct isl_basic_map
*ext
;
1429 dims_ok
= isl_space_is_equal(base
->dim
, dim
) &&
1430 base
->extra
>= base
->n_div
+ extra
;
1432 if (dims_ok
&& room_for_con(base
, n_eq
+ n_ineq
) &&
1433 room_for_ineq(base
, n_ineq
)) {
1434 isl_space_free(dim
);
1438 isl_assert(base
->ctx
, base
->dim
->nparam
<= dim
->nparam
, goto error
);
1439 isl_assert(base
->ctx
, base
->dim
->n_in
<= dim
->n_in
, goto error
);
1440 isl_assert(base
->ctx
, base
->dim
->n_out
<= dim
->n_out
, goto error
);
1441 extra
+= base
->extra
;
1443 n_ineq
+= base
->n_ineq
;
1445 ext
= isl_basic_map_alloc_space(dim
, extra
, n_eq
, n_ineq
);
1451 ext
->sample
= isl_vec_copy(base
->sample
);
1452 flags
= base
->flags
;
1453 ext
= add_constraints(ext
, base
, 0, 0);
1456 ISL_F_CLR(ext
, ISL_BASIC_SET_FINAL
);
1462 isl_space_free(dim
);
1463 isl_basic_map_free(base
);
1467 struct isl_basic_set
*isl_basic_set_extend_space(struct isl_basic_set
*base
,
1468 __isl_take isl_space
*dim
, unsigned extra
,
1469 unsigned n_eq
, unsigned n_ineq
)
1471 return (struct isl_basic_set
*)
1472 isl_basic_map_extend_space((struct isl_basic_map
*)base
, dim
,
1473 extra
, n_eq
, n_ineq
);
1476 struct isl_basic_map
*isl_basic_map_extend_constraints(
1477 struct isl_basic_map
*base
, unsigned n_eq
, unsigned n_ineq
)
1481 return isl_basic_map_extend_space(base
, isl_space_copy(base
->dim
),
1485 struct isl_basic_map
*isl_basic_map_extend(struct isl_basic_map
*base
,
1486 unsigned nparam
, unsigned n_in
, unsigned n_out
, unsigned extra
,
1487 unsigned n_eq
, unsigned n_ineq
)
1489 struct isl_basic_map
*bmap
;
1494 dim
= isl_space_alloc(base
->ctx
, nparam
, n_in
, n_out
);
1498 bmap
= isl_basic_map_extend_space(base
, dim
, extra
, n_eq
, n_ineq
);
1501 isl_basic_map_free(base
);
1505 struct isl_basic_set
*isl_basic_set_extend(struct isl_basic_set
*base
,
1506 unsigned nparam
, unsigned dim
, unsigned extra
,
1507 unsigned n_eq
, unsigned n_ineq
)
1509 return (struct isl_basic_set
*)
1510 isl_basic_map_extend((struct isl_basic_map
*)base
,
1511 nparam
, 0, dim
, extra
, n_eq
, n_ineq
);
1514 struct isl_basic_set
*isl_basic_set_extend_constraints(
1515 struct isl_basic_set
*base
, unsigned n_eq
, unsigned n_ineq
)
1517 return (struct isl_basic_set
*)
1518 isl_basic_map_extend_constraints((struct isl_basic_map
*)base
,
1522 struct isl_basic_set
*isl_basic_set_cow(struct isl_basic_set
*bset
)
1524 return (struct isl_basic_set
*)
1525 isl_basic_map_cow((struct isl_basic_map
*)bset
);
1528 struct isl_basic_map
*isl_basic_map_cow(struct isl_basic_map
*bmap
)
1533 if (bmap
->ref
> 1) {
1535 bmap
= isl_basic_map_dup(bmap
);
1538 ISL_F_CLR(bmap
, ISL_BASIC_SET_FINAL
);
1542 struct isl_set
*isl_set_cow(struct isl_set
*set
)
1550 return isl_set_dup(set
);
1553 struct isl_map
*isl_map_cow(struct isl_map
*map
)
1561 return isl_map_dup(map
);
1564 static void swap_vars(struct isl_blk blk
, isl_int
*a
,
1565 unsigned a_len
, unsigned b_len
)
1567 isl_seq_cpy(blk
.data
, a
+a_len
, b_len
);
1568 isl_seq_cpy(blk
.data
+b_len
, a
, a_len
);
1569 isl_seq_cpy(a
, blk
.data
, b_len
+a_len
);
1572 static __isl_give isl_basic_map
*isl_basic_map_swap_vars(
1573 __isl_take isl_basic_map
*bmap
, unsigned pos
, unsigned n1
, unsigned n2
)
1581 isl_assert(bmap
->ctx
,
1582 pos
+ n1
+ n2
<= 1 + isl_basic_map_total_dim(bmap
), goto error
);
1584 if (n1
== 0 || n2
== 0)
1587 bmap
= isl_basic_map_cow(bmap
);
1591 blk
= isl_blk_alloc(bmap
->ctx
, n1
+ n2
);
1592 if (isl_blk_is_error(blk
))
1595 for (i
= 0; i
< bmap
->n_eq
; ++i
)
1597 bmap
->eq
[i
] + pos
, n1
, n2
);
1599 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
1601 bmap
->ineq
[i
] + pos
, n1
, n2
);
1603 for (i
= 0; i
< bmap
->n_div
; ++i
)
1605 bmap
->div
[i
]+1 + pos
, n1
, n2
);
1607 isl_blk_free(bmap
->ctx
, blk
);
1609 ISL_F_CLR(bmap
, ISL_BASIC_SET_NORMALIZED
);
1610 bmap
= isl_basic_map_gauss(bmap
, NULL
);
1611 return isl_basic_map_finalize(bmap
);
1613 isl_basic_map_free(bmap
);
1617 static __isl_give isl_basic_set
*isl_basic_set_swap_vars(
1618 __isl_take isl_basic_set
*bset
, unsigned n
)
1626 nparam
= isl_basic_set_n_param(bset
);
1627 dim
= isl_basic_set_n_dim(bset
);
1628 isl_assert(bset
->ctx
, n
<= dim
, goto error
);
1630 return isl_basic_map_swap_vars(bset
, 1 + nparam
, n
, dim
- n
);
1632 isl_basic_set_free(bset
);
1636 struct isl_basic_map
*isl_basic_map_set_to_empty(struct isl_basic_map
*bmap
)
1642 total
= isl_basic_map_total_dim(bmap
);
1643 isl_basic_map_free_div(bmap
, bmap
->n_div
);
1644 isl_basic_map_free_inequality(bmap
, bmap
->n_ineq
);
1646 isl_basic_map_free_equality(bmap
, bmap
->n_eq
-1);
1648 i
= isl_basic_map_alloc_equality(bmap
);
1652 isl_int_set_si(bmap
->eq
[i
][0], 1);
1653 isl_seq_clr(bmap
->eq
[i
]+1, total
);
1654 ISL_F_SET(bmap
, ISL_BASIC_MAP_EMPTY
);
1655 isl_vec_free(bmap
->sample
);
1656 bmap
->sample
= NULL
;
1657 return isl_basic_map_finalize(bmap
);
1659 isl_basic_map_free(bmap
);
1663 struct isl_basic_set
*isl_basic_set_set_to_empty(struct isl_basic_set
*bset
)
1665 return (struct isl_basic_set
*)
1666 isl_basic_map_set_to_empty((struct isl_basic_map
*)bset
);
1669 void isl_basic_map_swap_div(struct isl_basic_map
*bmap
, int a
, int b
)
1672 unsigned off
= isl_space_dim(bmap
->dim
, isl_dim_all
);
1673 isl_int
*t
= bmap
->div
[a
];
1674 bmap
->div
[a
] = bmap
->div
[b
];
1677 for (i
= 0; i
< bmap
->n_eq
; ++i
)
1678 isl_int_swap(bmap
->eq
[i
][1+off
+a
], bmap
->eq
[i
][1+off
+b
]);
1680 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
1681 isl_int_swap(bmap
->ineq
[i
][1+off
+a
], bmap
->ineq
[i
][1+off
+b
]);
1683 for (i
= 0; i
< bmap
->n_div
; ++i
)
1684 isl_int_swap(bmap
->div
[i
][1+1+off
+a
], bmap
->div
[i
][1+1+off
+b
]);
1685 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
1688 /* Eliminate the specified n dimensions starting at first from the
1689 * constraints, without removing the dimensions from the space.
1690 * If the set is rational, the dimensions are eliminated using Fourier-Motzkin.
1692 __isl_give isl_map
*isl_map_eliminate(__isl_take isl_map
*map
,
1693 enum isl_dim_type type
, unsigned first
, unsigned n
)
1702 if (first
+ n
> isl_map_dim(map
, type
) || first
+ n
< first
)
1703 isl_die(map
->ctx
, isl_error_invalid
,
1704 "index out of bounds", goto error
);
1706 map
= isl_map_cow(map
);
1710 for (i
= 0; i
< map
->n
; ++i
) {
1711 map
->p
[i
] = isl_basic_map_eliminate(map
->p
[i
], type
, first
, n
);
1721 /* Eliminate the specified n dimensions starting at first from the
1722 * constraints, without removing the dimensions from the space.
1723 * If the set is rational, the dimensions are eliminated using Fourier-Motzkin.
1725 __isl_give isl_set
*isl_set_eliminate(__isl_take isl_set
*set
,
1726 enum isl_dim_type type
, unsigned first
, unsigned n
)
1728 return (isl_set
*)isl_map_eliminate((isl_map
*)set
, type
, first
, n
);
1731 /* Eliminate the specified n dimensions starting at first from the
1732 * constraints, without removing the dimensions from the space.
1733 * If the set is rational, the dimensions are eliminated using Fourier-Motzkin.
1735 __isl_give isl_set
*isl_set_eliminate_dims(__isl_take isl_set
*set
,
1736 unsigned first
, unsigned n
)
1738 return isl_set_eliminate(set
, isl_dim_set
, first
, n
);
1741 __isl_give isl_basic_map
*isl_basic_map_remove_divs(
1742 __isl_take isl_basic_map
*bmap
)
1746 bmap
= isl_basic_map_eliminate_vars(bmap
,
1747 isl_space_dim(bmap
->dim
, isl_dim_all
), bmap
->n_div
);
1751 return isl_basic_map_finalize(bmap
);
1754 __isl_give isl_basic_set
*isl_basic_set_remove_divs(
1755 __isl_take isl_basic_set
*bset
)
1757 return (struct isl_basic_set
*)isl_basic_map_remove_divs(
1758 (struct isl_basic_map
*)bset
);
1761 __isl_give isl_map
*isl_map_remove_divs(__isl_take isl_map
*map
)
1770 map
= isl_map_cow(map
);
1774 for (i
= 0; i
< map
->n
; ++i
) {
1775 map
->p
[i
] = isl_basic_map_remove_divs(map
->p
[i
]);
1785 __isl_give isl_set
*isl_set_remove_divs(__isl_take isl_set
*set
)
1787 return isl_map_remove_divs(set
);
1790 struct isl_basic_map
*isl_basic_map_remove_dims(struct isl_basic_map
*bmap
,
1791 enum isl_dim_type type
, unsigned first
, unsigned n
)
1795 isl_assert(bmap
->ctx
, first
+ n
<= isl_basic_map_dim(bmap
, type
),
1797 if (n
== 0 && !isl_space_is_named_or_nested(bmap
->dim
, type
))
1799 bmap
= isl_basic_map_eliminate_vars(bmap
,
1800 isl_basic_map_offset(bmap
, type
) - 1 + first
, n
);
1803 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_EMPTY
) && type
== isl_dim_div
)
1805 bmap
= isl_basic_map_drop(bmap
, type
, first
, n
);
1808 isl_basic_map_free(bmap
);
1812 /* Return true if the definition of the given div (recursively) involves
1813 * any of the given variables.
1815 static int div_involves_vars(__isl_keep isl_basic_map
*bmap
, int div
,
1816 unsigned first
, unsigned n
)
1819 unsigned div_offset
= isl_basic_map_offset(bmap
, isl_dim_div
);
1821 if (isl_int_is_zero(bmap
->div
[div
][0]))
1823 if (isl_seq_first_non_zero(bmap
->div
[div
] + 1 + first
, n
) >= 0)
1826 for (i
= bmap
->n_div
- 1; i
>= 0; --i
) {
1827 if (isl_int_is_zero(bmap
->div
[div
][1 + div_offset
+ i
]))
1829 if (div_involves_vars(bmap
, i
, first
, n
))
1836 /* Try and add a lower and/or upper bound on "div" to "bmap"
1837 * based on inequality "i".
1838 * "total" is the total number of variables (excluding the divs).
1839 * "v" is a temporary object that can be used during the calculations.
1840 * If "lb" is set, then a lower bound should be constructed.
1841 * If "ub" is set, then an upper bound should be constructed.
1843 * The calling function has already checked that the inequality does not
1844 * reference "div", but we still need to check that the inequality is
1845 * of the right form. We'll consider the case where we want to construct
1846 * a lower bound. The construction of upper bounds is similar.
1848 * Let "div" be of the form
1850 * q = floor((a + f(x))/d)
1852 * We essentially check if constraint "i" is of the form
1856 * so that we can use it to derive a lower bound on "div".
1857 * However, we allow a slightly more general form
1861 * with the condition that the coefficients of g(x) - f(x) are all
1863 * Rewriting this constraint as
1867 * adding a + f(x) to both sides and dividing by d, we obtain
1869 * (a + f(x))/d >= (a-b)/d + (f(x)-g(x))/d
1871 * Taking the floor on both sides, we obtain
1873 * q >= floor((a-b)/d) + (f(x)-g(x))/d
1877 * (g(x)-f(x))/d + ceil((b-a)/d) + q >= 0
1879 * In the case of an upper bound, we construct the constraint
1881 * (g(x)+f(x))/d + floor((b+a)/d) - q >= 0
1884 static __isl_give isl_basic_map
*insert_bounds_on_div_from_ineq(
1885 __isl_take isl_basic_map
*bmap
, int div
, int i
,
1886 unsigned total
, isl_int v
, int lb
, int ub
)
1890 for (j
= 0; (lb
|| ub
) && j
< total
+ bmap
->n_div
; ++j
) {
1892 isl_int_sub(v
, bmap
->ineq
[i
][1 + j
],
1893 bmap
->div
[div
][1 + 1 + j
]);
1894 lb
= isl_int_is_divisible_by(v
, bmap
->div
[div
][0]);
1897 isl_int_add(v
, bmap
->ineq
[i
][1 + j
],
1898 bmap
->div
[div
][1 + 1 + j
]);
1899 ub
= isl_int_is_divisible_by(v
, bmap
->div
[div
][0]);
1905 bmap
= isl_basic_map_extend_constraints(bmap
, 0, lb
+ ub
);
1907 int k
= isl_basic_map_alloc_inequality(bmap
);
1910 for (j
= 0; j
< 1 + total
+ bmap
->n_div
; ++j
) {
1911 isl_int_sub(bmap
->ineq
[k
][j
], bmap
->ineq
[i
][j
],
1912 bmap
->div
[div
][1 + j
]);
1913 isl_int_cdiv_q(bmap
->ineq
[k
][j
],
1914 bmap
->ineq
[k
][j
], bmap
->div
[div
][0]);
1916 isl_int_set_si(bmap
->ineq
[k
][1 + total
+ div
], 1);
1919 int k
= isl_basic_map_alloc_inequality(bmap
);
1922 for (j
= 0; j
< 1 + total
+ bmap
->n_div
; ++j
) {
1923 isl_int_add(bmap
->ineq
[k
][j
], bmap
->ineq
[i
][j
],
1924 bmap
->div
[div
][1 + j
]);
1925 isl_int_fdiv_q(bmap
->ineq
[k
][j
],
1926 bmap
->ineq
[k
][j
], bmap
->div
[div
][0]);
1928 isl_int_set_si(bmap
->ineq
[k
][1 + total
+ div
], -1);
1933 isl_basic_map_free(bmap
);
1937 /* This function is called right before "div" is eliminated from "bmap"
1938 * using Fourier-Motzkin.
1939 * Look through the constraints of "bmap" for constraints on the argument
1940 * of the integer division and use them to construct constraints on the
1941 * integer division itself. These constraints can then be combined
1942 * during the Fourier-Motzkin elimination.
1943 * Note that it is only useful to introduce lower bounds on "div"
1944 * if "bmap" already contains upper bounds on "div" as the newly
1945 * introduce lower bounds can then be combined with the pre-existing
1946 * upper bounds. Similarly for upper bounds.
1947 * We therefore first check if "bmap" contains any lower and/or upper bounds
1950 * It is interesting to note that the introduction of these constraints
1951 * can indeed lead to more accurate results, even when compared to
1952 * deriving constraints on the argument of "div" from constraints on "div".
1953 * Consider, for example, the set
1955 * { [i,j,k] : 3 + i + 2j >= 0 and 2 * [(i+2j)/4] <= k }
1957 * The second constraint can be rewritten as
1959 * 2 * [(-i-2j+3)/4] + k >= 0
1961 * from which we can derive
1963 * -i - 2j + 3 >= -2k
1969 * Combined with the first constraint, we obtain
1971 * -3 <= 3 + 2k or k >= -3
1973 * If, on the other hand we derive a constraint on [(i+2j)/4] from
1974 * the first constraint, we obtain
1976 * [(i + 2j)/4] >= [-3/4] = -1
1978 * Combining this constraint with the second constraint, we obtain
1982 static __isl_give isl_basic_map
*insert_bounds_on_div(
1983 __isl_take isl_basic_map
*bmap
, int div
)
1986 int check_lb
, check_ub
;
1993 if (isl_int_is_zero(bmap
->div
[div
][0]))
1996 total
= isl_space_dim(bmap
->dim
, isl_dim_all
);
2000 for (i
= 0; (!check_lb
|| !check_ub
) && i
< bmap
->n_ineq
; ++i
) {
2001 int s
= isl_int_sgn(bmap
->ineq
[i
][1 + total
+ div
]);
2008 if (!check_lb
&& !check_ub
)
2013 for (i
= 0; bmap
&& i
< bmap
->n_ineq
; ++i
) {
2014 if (!isl_int_is_zero(bmap
->ineq
[i
][1 + total
+ div
]))
2017 bmap
= insert_bounds_on_div_from_ineq(bmap
, div
, i
, total
, v
,
2018 check_lb
, check_ub
);
2026 /* Remove all divs (recursively) involving any of the given dimensions
2027 * in their definitions.
2029 __isl_give isl_basic_map
*isl_basic_map_remove_divs_involving_dims(
2030 __isl_take isl_basic_map
*bmap
,
2031 enum isl_dim_type type
, unsigned first
, unsigned n
)
2037 isl_assert(bmap
->ctx
, first
+ n
<= isl_basic_map_dim(bmap
, type
),
2039 first
+= isl_basic_map_offset(bmap
, type
);
2041 for (i
= bmap
->n_div
- 1; i
>= 0; --i
) {
2042 if (!div_involves_vars(bmap
, i
, first
, n
))
2044 bmap
= insert_bounds_on_div(bmap
, i
);
2045 bmap
= isl_basic_map_remove_dims(bmap
, isl_dim_div
, i
, 1);
2053 isl_basic_map_free(bmap
);
2057 __isl_give isl_basic_set
*isl_basic_set_remove_divs_involving_dims(
2058 __isl_take isl_basic_set
*bset
,
2059 enum isl_dim_type type
, unsigned first
, unsigned n
)
2061 return isl_basic_map_remove_divs_involving_dims(bset
, type
, first
, n
);
2064 __isl_give isl_map
*isl_map_remove_divs_involving_dims(__isl_take isl_map
*map
,
2065 enum isl_dim_type type
, unsigned first
, unsigned n
)
2074 map
= isl_map_cow(map
);
2078 for (i
= 0; i
< map
->n
; ++i
) {
2079 map
->p
[i
] = isl_basic_map_remove_divs_involving_dims(map
->p
[i
],
2090 __isl_give isl_set
*isl_set_remove_divs_involving_dims(__isl_take isl_set
*set
,
2091 enum isl_dim_type type
, unsigned first
, unsigned n
)
2093 return (isl_set
*)isl_map_remove_divs_involving_dims((isl_map
*)set
,
2097 /* Does the desciption of "bmap" depend on the specified dimensions?
2098 * We also check whether the dimensions appear in any of the div definitions.
2099 * In principle there is no need for this check. If the dimensions appear
2100 * in a div definition, they also appear in the defining constraints of that
2103 int isl_basic_map_involves_dims(__isl_keep isl_basic_map
*bmap
,
2104 enum isl_dim_type type
, unsigned first
, unsigned n
)
2111 if (first
+ n
> isl_basic_map_dim(bmap
, type
))
2112 isl_die(bmap
->ctx
, isl_error_invalid
,
2113 "index out of bounds", return -1);
2115 first
+= isl_basic_map_offset(bmap
, type
);
2116 for (i
= 0; i
< bmap
->n_eq
; ++i
)
2117 if (isl_seq_first_non_zero(bmap
->eq
[i
] + first
, n
) >= 0)
2119 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
2120 if (isl_seq_first_non_zero(bmap
->ineq
[i
] + first
, n
) >= 0)
2122 for (i
= 0; i
< bmap
->n_div
; ++i
) {
2123 if (isl_int_is_zero(bmap
->div
[i
][0]))
2125 if (isl_seq_first_non_zero(bmap
->div
[i
] + 1 + first
, n
) >= 0)
2132 int isl_map_involves_dims(__isl_keep isl_map
*map
,
2133 enum isl_dim_type type
, unsigned first
, unsigned n
)
2140 if (first
+ n
> isl_map_dim(map
, type
))
2141 isl_die(map
->ctx
, isl_error_invalid
,
2142 "index out of bounds", return -1);
2144 for (i
= 0; i
< map
->n
; ++i
) {
2145 int involves
= isl_basic_map_involves_dims(map
->p
[i
],
2147 if (involves
< 0 || involves
)
2154 int isl_basic_set_involves_dims(__isl_keep isl_basic_set
*bset
,
2155 enum isl_dim_type type
, unsigned first
, unsigned n
)
2157 return isl_basic_map_involves_dims(bset
, type
, first
, n
);
2160 int isl_set_involves_dims(__isl_keep isl_set
*set
,
2161 enum isl_dim_type type
, unsigned first
, unsigned n
)
2163 return isl_map_involves_dims(set
, type
, first
, n
);
2166 /* Return true if the definition of the given div is unknown or depends
2169 static int div_is_unknown(__isl_keep isl_basic_map
*bmap
, int div
)
2172 unsigned div_offset
= isl_basic_map_offset(bmap
, isl_dim_div
);
2174 if (isl_int_is_zero(bmap
->div
[div
][0]))
2177 for (i
= bmap
->n_div
- 1; i
>= 0; --i
) {
2178 if (isl_int_is_zero(bmap
->div
[div
][1 + div_offset
+ i
]))
2180 if (div_is_unknown(bmap
, i
))
2187 /* Remove all divs that are unknown or defined in terms of unknown divs.
2189 __isl_give isl_basic_map
*isl_basic_map_remove_unknown_divs(
2190 __isl_take isl_basic_map
*bmap
)
2197 for (i
= bmap
->n_div
- 1; i
>= 0; --i
) {
2198 if (!div_is_unknown(bmap
, i
))
2200 bmap
= isl_basic_map_remove_dims(bmap
, isl_dim_div
, i
, 1);
2209 /* Remove all divs that are unknown or defined in terms of unknown divs.
2211 __isl_give isl_basic_set
*isl_basic_set_remove_unknown_divs(
2212 __isl_take isl_basic_set
*bset
)
2214 return isl_basic_map_remove_unknown_divs(bset
);
2217 __isl_give isl_map
*isl_map_remove_unknown_divs(__isl_take isl_map
*map
)
2226 map
= isl_map_cow(map
);
2230 for (i
= 0; i
< map
->n
; ++i
) {
2231 map
->p
[i
] = isl_basic_map_remove_unknown_divs(map
->p
[i
]);
2241 __isl_give isl_set
*isl_set_remove_unknown_divs(__isl_take isl_set
*set
)
2243 return (isl_set
*)isl_map_remove_unknown_divs((isl_map
*)set
);
2246 __isl_give isl_basic_set
*isl_basic_set_remove_dims(
2247 __isl_take isl_basic_set
*bset
,
2248 enum isl_dim_type type
, unsigned first
, unsigned n
)
2250 return (isl_basic_set
*)
2251 isl_basic_map_remove_dims((isl_basic_map
*)bset
, type
, first
, n
);
2254 struct isl_map
*isl_map_remove_dims(struct isl_map
*map
,
2255 enum isl_dim_type type
, unsigned first
, unsigned n
)
2262 map
= isl_map_cow(map
);
2265 isl_assert(map
->ctx
, first
+ n
<= isl_map_dim(map
, type
), goto error
);
2267 for (i
= 0; i
< map
->n
; ++i
) {
2268 map
->p
[i
] = isl_basic_map_eliminate_vars(map
->p
[i
],
2269 isl_basic_map_offset(map
->p
[i
], type
) - 1 + first
, n
);
2273 map
= isl_map_drop(map
, type
, first
, n
);
2280 __isl_give isl_set
*isl_set_remove_dims(__isl_take isl_set
*bset
,
2281 enum isl_dim_type type
, unsigned first
, unsigned n
)
2283 return (isl_set
*)isl_map_remove_dims((isl_map
*)bset
, type
, first
, n
);
2286 /* Project out n inputs starting at first using Fourier-Motzkin */
2287 struct isl_map
*isl_map_remove_inputs(struct isl_map
*map
,
2288 unsigned first
, unsigned n
)
2290 return isl_map_remove_dims(map
, isl_dim_in
, first
, n
);
2293 static void dump_term(struct isl_basic_map
*bmap
,
2294 isl_int c
, int pos
, FILE *out
)
2297 unsigned in
= isl_basic_map_n_in(bmap
);
2298 unsigned dim
= in
+ isl_basic_map_n_out(bmap
);
2299 unsigned nparam
= isl_basic_map_n_param(bmap
);
2301 isl_int_print(out
, c
, 0);
2303 if (!isl_int_is_one(c
))
2304 isl_int_print(out
, c
, 0);
2305 if (pos
< 1 + nparam
) {
2306 name
= isl_space_get_dim_name(bmap
->dim
,
2307 isl_dim_param
, pos
- 1);
2309 fprintf(out
, "%s", name
);
2311 fprintf(out
, "p%d", pos
- 1);
2312 } else if (pos
< 1 + nparam
+ in
)
2313 fprintf(out
, "i%d", pos
- 1 - nparam
);
2314 else if (pos
< 1 + nparam
+ dim
)
2315 fprintf(out
, "o%d", pos
- 1 - nparam
- in
);
2317 fprintf(out
, "e%d", pos
- 1 - nparam
- dim
);
2321 static void dump_constraint_sign(struct isl_basic_map
*bmap
, isl_int
*c
,
2322 int sign
, FILE *out
)
2326 unsigned len
= 1 + isl_basic_map_total_dim(bmap
);
2330 for (i
= 0, first
= 1; i
< len
; ++i
) {
2331 if (isl_int_sgn(c
[i
]) * sign
<= 0)
2334 fprintf(out
, " + ");
2336 isl_int_abs(v
, c
[i
]);
2337 dump_term(bmap
, v
, i
, out
);
2344 static void dump_constraint(struct isl_basic_map
*bmap
, isl_int
*c
,
2345 const char *op
, FILE *out
, int indent
)
2349 fprintf(out
, "%*s", indent
, "");
2351 dump_constraint_sign(bmap
, c
, 1, out
);
2352 fprintf(out
, " %s ", op
);
2353 dump_constraint_sign(bmap
, c
, -1, out
);
2357 for (i
= bmap
->n_div
; i
< bmap
->extra
; ++i
) {
2358 if (isl_int_is_zero(c
[1+isl_space_dim(bmap
->dim
, isl_dim_all
)+i
]))
2360 fprintf(out
, "%*s", indent
, "");
2361 fprintf(out
, "ERROR: unused div coefficient not zero\n");
2366 static void dump_constraints(struct isl_basic_map
*bmap
,
2367 isl_int
**c
, unsigned n
,
2368 const char *op
, FILE *out
, int indent
)
2372 for (i
= 0; i
< n
; ++i
)
2373 dump_constraint(bmap
, c
[i
], op
, out
, indent
);
2376 static void dump_affine(struct isl_basic_map
*bmap
, isl_int
*exp
, FILE *out
)
2380 unsigned total
= isl_basic_map_total_dim(bmap
);
2382 for (j
= 0; j
< 1 + total
; ++j
) {
2383 if (isl_int_is_zero(exp
[j
]))
2385 if (!first
&& isl_int_is_pos(exp
[j
]))
2387 dump_term(bmap
, exp
[j
], j
, out
);
2392 static void dump(struct isl_basic_map
*bmap
, FILE *out
, int indent
)
2396 dump_constraints(bmap
, bmap
->eq
, bmap
->n_eq
, "=", out
, indent
);
2397 dump_constraints(bmap
, bmap
->ineq
, bmap
->n_ineq
, ">=", out
, indent
);
2399 for (i
= 0; i
< bmap
->n_div
; ++i
) {
2400 fprintf(out
, "%*s", indent
, "");
2401 fprintf(out
, "e%d = [(", i
);
2402 dump_affine(bmap
, bmap
->div
[i
]+1, out
);
2404 isl_int_print(out
, bmap
->div
[i
][0], 0);
2405 fprintf(out
, "]\n");
2409 void isl_basic_set_print_internal(struct isl_basic_set
*bset
,
2410 FILE *out
, int indent
)
2413 fprintf(out
, "null basic set\n");
2417 fprintf(out
, "%*s", indent
, "");
2418 fprintf(out
, "ref: %d, nparam: %d, dim: %d, extra: %d, flags: %x\n",
2419 bset
->ref
, bset
->dim
->nparam
, bset
->dim
->n_out
,
2420 bset
->extra
, bset
->flags
);
2421 dump((struct isl_basic_map
*)bset
, out
, indent
);
2424 void isl_basic_map_print_internal(struct isl_basic_map
*bmap
,
2425 FILE *out
, int indent
)
2428 fprintf(out
, "null basic map\n");
2432 fprintf(out
, "%*s", indent
, "");
2433 fprintf(out
, "ref: %d, nparam: %d, in: %d, out: %d, extra: %d, "
2434 "flags: %x, n_name: %d\n",
2436 bmap
->dim
->nparam
, bmap
->dim
->n_in
, bmap
->dim
->n_out
,
2437 bmap
->extra
, bmap
->flags
, bmap
->dim
->n_id
);
2438 dump(bmap
, out
, indent
);
2441 int isl_inequality_negate(struct isl_basic_map
*bmap
, unsigned pos
)
2446 total
= isl_basic_map_total_dim(bmap
);
2447 isl_assert(bmap
->ctx
, pos
< bmap
->n_ineq
, return -1);
2448 isl_seq_neg(bmap
->ineq
[pos
], bmap
->ineq
[pos
], 1 + total
);
2449 isl_int_sub_ui(bmap
->ineq
[pos
][0], bmap
->ineq
[pos
][0], 1);
2450 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
2454 __isl_give isl_set
*isl_set_alloc_space(__isl_take isl_space
*dim
, int n
,
2457 struct isl_set
*set
;
2461 isl_assert(dim
->ctx
, dim
->n_in
== 0, goto error
);
2462 isl_assert(dim
->ctx
, n
>= 0, goto error
);
2463 set
= isl_alloc(dim
->ctx
, struct isl_set
,
2464 sizeof(struct isl_set
) +
2465 (n
- 1) * sizeof(struct isl_basic_set
*));
2469 set
->ctx
= dim
->ctx
;
2470 isl_ctx_ref(set
->ctx
);
2478 isl_space_free(dim
);
2482 struct isl_set
*isl_set_alloc(struct isl_ctx
*ctx
,
2483 unsigned nparam
, unsigned dim
, int n
, unsigned flags
)
2485 struct isl_set
*set
;
2488 dims
= isl_space_alloc(ctx
, nparam
, 0, dim
);
2492 set
= isl_set_alloc_space(dims
, n
, flags
);
2496 /* Make sure "map" has room for at least "n" more basic maps.
2498 struct isl_map
*isl_map_grow(struct isl_map
*map
, int n
)
2501 struct isl_map
*grown
= NULL
;
2505 isl_assert(map
->ctx
, n
>= 0, goto error
);
2506 if (map
->n
+ n
<= map
->size
)
2508 grown
= isl_map_alloc_space(isl_map_get_space(map
), map
->n
+ n
, map
->flags
);
2511 for (i
= 0; i
< map
->n
; ++i
) {
2512 grown
->p
[i
] = isl_basic_map_copy(map
->p
[i
]);
2520 isl_map_free(grown
);
2525 /* Make sure "set" has room for at least "n" more basic sets.
2527 struct isl_set
*isl_set_grow(struct isl_set
*set
, int n
)
2529 return (struct isl_set
*)isl_map_grow((struct isl_map
*)set
, n
);
2532 struct isl_set
*isl_set_dup(struct isl_set
*set
)
2535 struct isl_set
*dup
;
2540 dup
= isl_set_alloc_space(isl_space_copy(set
->dim
), set
->n
, set
->flags
);
2543 for (i
= 0; i
< set
->n
; ++i
)
2544 dup
= isl_set_add_basic_set(dup
, isl_basic_set_copy(set
->p
[i
]));
2548 struct isl_set
*isl_set_from_basic_set(struct isl_basic_set
*bset
)
2550 return isl_map_from_basic_map(bset
);
2553 struct isl_map
*isl_map_from_basic_map(struct isl_basic_map
*bmap
)
2555 struct isl_map
*map
;
2560 map
= isl_map_alloc_space(isl_space_copy(bmap
->dim
), 1, ISL_MAP_DISJOINT
);
2561 return isl_map_add_basic_map(map
, bmap
);
2564 __isl_give isl_set
*isl_set_add_basic_set(__isl_take isl_set
*set
,
2565 __isl_take isl_basic_set
*bset
)
2567 return (struct isl_set
*)isl_map_add_basic_map((struct isl_map
*)set
,
2568 (struct isl_basic_map
*)bset
);
2571 void *isl_set_free(__isl_take isl_set
*set
)
2581 isl_ctx_deref(set
->ctx
);
2582 for (i
= 0; i
< set
->n
; ++i
)
2583 isl_basic_set_free(set
->p
[i
]);
2584 isl_space_free(set
->dim
);
2590 void isl_set_print_internal(struct isl_set
*set
, FILE *out
, int indent
)
2595 fprintf(out
, "null set\n");
2599 fprintf(out
, "%*s", indent
, "");
2600 fprintf(out
, "ref: %d, n: %d, nparam: %d, dim: %d, flags: %x\n",
2601 set
->ref
, set
->n
, set
->dim
->nparam
, set
->dim
->n_out
,
2603 for (i
= 0; i
< set
->n
; ++i
) {
2604 fprintf(out
, "%*s", indent
, "");
2605 fprintf(out
, "basic set %d:\n", i
);
2606 isl_basic_set_print_internal(set
->p
[i
], out
, indent
+4);
2610 void isl_map_print_internal(struct isl_map
*map
, FILE *out
, int indent
)
2615 fprintf(out
, "null map\n");
2619 fprintf(out
, "%*s", indent
, "");
2620 fprintf(out
, "ref: %d, n: %d, nparam: %d, in: %d, out: %d, "
2621 "flags: %x, n_name: %d\n",
2622 map
->ref
, map
->n
, map
->dim
->nparam
, map
->dim
->n_in
,
2623 map
->dim
->n_out
, map
->flags
, map
->dim
->n_id
);
2624 for (i
= 0; i
< map
->n
; ++i
) {
2625 fprintf(out
, "%*s", indent
, "");
2626 fprintf(out
, "basic map %d:\n", i
);
2627 isl_basic_map_print_internal(map
->p
[i
], out
, indent
+4);
2631 struct isl_basic_map
*isl_basic_map_intersect_domain(
2632 struct isl_basic_map
*bmap
, struct isl_basic_set
*bset
)
2634 struct isl_basic_map
*bmap_domain
;
2639 isl_assert(bset
->ctx
, isl_space_match(bmap
->dim
, isl_dim_param
,
2640 bset
->dim
, isl_dim_param
), goto error
);
2642 if (isl_space_dim(bset
->dim
, isl_dim_set
) != 0)
2643 isl_assert(bset
->ctx
,
2644 isl_basic_map_compatible_domain(bmap
, bset
), goto error
);
2646 bmap
= isl_basic_map_cow(bmap
);
2649 bmap
= isl_basic_map_extend_space(bmap
, isl_space_copy(bmap
->dim
),
2650 bset
->n_div
, bset
->n_eq
, bset
->n_ineq
);
2651 bmap_domain
= isl_basic_map_from_domain(bset
);
2652 bmap
= add_constraints(bmap
, bmap_domain
, 0, 0);
2654 bmap
= isl_basic_map_simplify(bmap
);
2655 return isl_basic_map_finalize(bmap
);
2657 isl_basic_map_free(bmap
);
2658 isl_basic_set_free(bset
);
2662 struct isl_basic_map
*isl_basic_map_intersect_range(
2663 struct isl_basic_map
*bmap
, struct isl_basic_set
*bset
)
2665 struct isl_basic_map
*bmap_range
;
2670 isl_assert(bset
->ctx
, isl_space_match(bmap
->dim
, isl_dim_param
,
2671 bset
->dim
, isl_dim_param
), goto error
);
2673 if (isl_space_dim(bset
->dim
, isl_dim_set
) != 0)
2674 isl_assert(bset
->ctx
,
2675 isl_basic_map_compatible_range(bmap
, bset
), goto error
);
2677 if (isl_basic_set_is_universe(bset
)) {
2678 isl_basic_set_free(bset
);
2682 bmap
= isl_basic_map_cow(bmap
);
2685 bmap
= isl_basic_map_extend_space(bmap
, isl_space_copy(bmap
->dim
),
2686 bset
->n_div
, bset
->n_eq
, bset
->n_ineq
);
2687 bmap_range
= isl_basic_map_from_basic_set(bset
, isl_space_copy(bset
->dim
));
2688 bmap
= add_constraints(bmap
, bmap_range
, 0, 0);
2690 bmap
= isl_basic_map_simplify(bmap
);
2691 return isl_basic_map_finalize(bmap
);
2693 isl_basic_map_free(bmap
);
2694 isl_basic_set_free(bset
);
2698 int isl_basic_map_contains(struct isl_basic_map
*bmap
, struct isl_vec
*vec
)
2704 total
= 1 + isl_basic_map_total_dim(bmap
);
2705 if (total
!= vec
->size
)
2710 for (i
= 0; i
< bmap
->n_eq
; ++i
) {
2711 isl_seq_inner_product(vec
->el
, bmap
->eq
[i
], total
, &s
);
2712 if (!isl_int_is_zero(s
)) {
2718 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
2719 isl_seq_inner_product(vec
->el
, bmap
->ineq
[i
], total
, &s
);
2720 if (isl_int_is_neg(s
)) {
2731 int isl_basic_set_contains(struct isl_basic_set
*bset
, struct isl_vec
*vec
)
2733 return isl_basic_map_contains((struct isl_basic_map
*)bset
, vec
);
2736 struct isl_basic_map
*isl_basic_map_intersect(
2737 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
2739 struct isl_vec
*sample
= NULL
;
2741 if (!bmap1
|| !bmap2
)
2744 isl_assert(bmap1
->ctx
, isl_space_match(bmap1
->dim
, isl_dim_param
,
2745 bmap2
->dim
, isl_dim_param
), goto error
);
2746 if (isl_space_dim(bmap1
->dim
, isl_dim_all
) ==
2747 isl_space_dim(bmap1
->dim
, isl_dim_param
) &&
2748 isl_space_dim(bmap2
->dim
, isl_dim_all
) !=
2749 isl_space_dim(bmap2
->dim
, isl_dim_param
))
2750 return isl_basic_map_intersect(bmap2
, bmap1
);
2752 if (isl_space_dim(bmap2
->dim
, isl_dim_all
) !=
2753 isl_space_dim(bmap2
->dim
, isl_dim_param
))
2754 isl_assert(bmap1
->ctx
,
2755 isl_space_is_equal(bmap1
->dim
, bmap2
->dim
), goto error
);
2757 if (bmap1
->sample
&&
2758 isl_basic_map_contains(bmap1
, bmap1
->sample
) > 0 &&
2759 isl_basic_map_contains(bmap2
, bmap1
->sample
) > 0)
2760 sample
= isl_vec_copy(bmap1
->sample
);
2761 else if (bmap2
->sample
&&
2762 isl_basic_map_contains(bmap1
, bmap2
->sample
) > 0 &&
2763 isl_basic_map_contains(bmap2
, bmap2
->sample
) > 0)
2764 sample
= isl_vec_copy(bmap2
->sample
);
2766 bmap1
= isl_basic_map_cow(bmap1
);
2769 bmap1
= isl_basic_map_extend_space(bmap1
, isl_space_copy(bmap1
->dim
),
2770 bmap2
->n_div
, bmap2
->n_eq
, bmap2
->n_ineq
);
2771 bmap1
= add_constraints(bmap1
, bmap2
, 0, 0);
2774 isl_vec_free(sample
);
2776 isl_vec_free(bmap1
->sample
);
2777 bmap1
->sample
= sample
;
2780 bmap1
= isl_basic_map_simplify(bmap1
);
2781 return isl_basic_map_finalize(bmap1
);
2784 isl_vec_free(sample
);
2785 isl_basic_map_free(bmap1
);
2786 isl_basic_map_free(bmap2
);
2790 struct isl_basic_set
*isl_basic_set_intersect(
2791 struct isl_basic_set
*bset1
, struct isl_basic_set
*bset2
)
2793 return (struct isl_basic_set
*)
2794 isl_basic_map_intersect(
2795 (struct isl_basic_map
*)bset1
,
2796 (struct isl_basic_map
*)bset2
);
2799 __isl_give isl_basic_set
*isl_basic_set_intersect_params(
2800 __isl_take isl_basic_set
*bset1
, __isl_take isl_basic_set
*bset2
)
2802 return isl_basic_set_intersect(bset1
, bset2
);
2805 /* Special case of isl_map_intersect, where both map1 and map2
2806 * are convex, without any divs and such that either map1 or map2
2807 * contains a single constraint. This constraint is then simply
2808 * added to the other map.
2810 static __isl_give isl_map
*map_intersect_add_constraint(
2811 __isl_take isl_map
*map1
, __isl_take isl_map
*map2
)
2813 isl_assert(map1
->ctx
, map1
->n
== 1, goto error
);
2814 isl_assert(map2
->ctx
, map1
->n
== 1, goto error
);
2815 isl_assert(map1
->ctx
, map1
->p
[0]->n_div
== 0, goto error
);
2816 isl_assert(map2
->ctx
, map1
->p
[0]->n_div
== 0, goto error
);
2818 if (map2
->p
[0]->n_eq
+ map2
->p
[0]->n_ineq
!= 1)
2819 return isl_map_intersect(map2
, map1
);
2821 isl_assert(map2
->ctx
,
2822 map2
->p
[0]->n_eq
+ map2
->p
[0]->n_ineq
== 1, goto error
);
2824 map1
= isl_map_cow(map1
);
2827 if (isl_map_plain_is_empty(map1
)) {
2831 map1
->p
[0] = isl_basic_map_cow(map1
->p
[0]);
2832 if (map2
->p
[0]->n_eq
== 1)
2833 map1
->p
[0] = isl_basic_map_add_eq(map1
->p
[0], map2
->p
[0]->eq
[0]);
2835 map1
->p
[0] = isl_basic_map_add_ineq(map1
->p
[0],
2836 map2
->p
[0]->ineq
[0]);
2838 map1
->p
[0] = isl_basic_map_simplify(map1
->p
[0]);
2839 map1
->p
[0] = isl_basic_map_finalize(map1
->p
[0]);
2843 if (isl_basic_map_plain_is_empty(map1
->p
[0])) {
2844 isl_basic_map_free(map1
->p
[0]);
2857 /* map2 may be either a parameter domain or a map living in the same
2860 static __isl_give isl_map
*map_intersect_internal(__isl_take isl_map
*map1
,
2861 __isl_take isl_map
*map2
)
2870 if ((isl_map_plain_is_empty(map1
) ||
2871 isl_map_plain_is_universe(map2
)) &&
2872 isl_space_is_equal(map1
->dim
, map2
->dim
)) {
2876 if ((isl_map_plain_is_empty(map2
) ||
2877 isl_map_plain_is_universe(map1
)) &&
2878 isl_space_is_equal(map1
->dim
, map2
->dim
)) {
2883 if (map1
->n
== 1 && map2
->n
== 1 &&
2884 map1
->p
[0]->n_div
== 0 && map2
->p
[0]->n_div
== 0 &&
2885 isl_space_is_equal(map1
->dim
, map2
->dim
) &&
2886 (map1
->p
[0]->n_eq
+ map1
->p
[0]->n_ineq
== 1 ||
2887 map2
->p
[0]->n_eq
+ map2
->p
[0]->n_ineq
== 1))
2888 return map_intersect_add_constraint(map1
, map2
);
2890 if (isl_space_dim(map2
->dim
, isl_dim_all
) !=
2891 isl_space_dim(map2
->dim
, isl_dim_param
))
2892 isl_assert(map1
->ctx
,
2893 isl_space_is_equal(map1
->dim
, map2
->dim
), goto error
);
2895 if (ISL_F_ISSET(map1
, ISL_MAP_DISJOINT
) &&
2896 ISL_F_ISSET(map2
, ISL_MAP_DISJOINT
))
2897 ISL_FL_SET(flags
, ISL_MAP_DISJOINT
);
2899 result
= isl_map_alloc_space(isl_space_copy(map1
->dim
),
2900 map1
->n
* map2
->n
, flags
);
2903 for (i
= 0; i
< map1
->n
; ++i
)
2904 for (j
= 0; j
< map2
->n
; ++j
) {
2905 struct isl_basic_map
*part
;
2906 part
= isl_basic_map_intersect(
2907 isl_basic_map_copy(map1
->p
[i
]),
2908 isl_basic_map_copy(map2
->p
[j
]));
2909 if (isl_basic_map_is_empty(part
) < 0)
2910 part
= isl_basic_map_free(part
);
2911 result
= isl_map_add_basic_map(result
, part
);
2924 static __isl_give isl_map
*map_intersect(__isl_take isl_map
*map1
,
2925 __isl_take isl_map
*map2
)
2929 if (!isl_space_is_equal(map1
->dim
, map2
->dim
))
2930 isl_die(isl_map_get_ctx(map1
), isl_error_invalid
,
2931 "spaces don't match", goto error
);
2932 return map_intersect_internal(map1
, map2
);
2939 __isl_give isl_map
*isl_map_intersect(__isl_take isl_map
*map1
,
2940 __isl_take isl_map
*map2
)
2942 return isl_map_align_params_map_map_and(map1
, map2
, &map_intersect
);
2945 struct isl_set
*isl_set_intersect(struct isl_set
*set1
, struct isl_set
*set2
)
2947 return (struct isl_set
*)
2948 isl_map_intersect((struct isl_map
*)set1
,
2949 (struct isl_map
*)set2
);
2952 /* map_intersect_internal accepts intersections
2953 * with parameter domains, so we can just call that function.
2955 static __isl_give isl_map
*map_intersect_params(__isl_take isl_map
*map
,
2956 __isl_take isl_set
*params
)
2958 return map_intersect_internal(map
, params
);
2961 __isl_give isl_map
*isl_map_intersect_params(__isl_take isl_map
*map1
,
2962 __isl_take isl_map
*map2
)
2964 return isl_map_align_params_map_map_and(map1
, map2
, &map_intersect_params
);
2967 __isl_give isl_set
*isl_set_intersect_params(__isl_take isl_set
*set
,
2968 __isl_take isl_set
*params
)
2970 return isl_map_intersect_params(set
, params
);
2973 struct isl_basic_map
*isl_basic_map_reverse(struct isl_basic_map
*bmap
)
2976 struct isl_basic_set
*bset
;
2981 bmap
= isl_basic_map_cow(bmap
);
2984 dim
= isl_space_reverse(isl_space_copy(bmap
->dim
));
2985 in
= isl_basic_map_n_in(bmap
);
2986 bset
= isl_basic_set_from_basic_map(bmap
);
2987 bset
= isl_basic_set_swap_vars(bset
, in
);
2988 return isl_basic_map_from_basic_set(bset
, dim
);
2991 static __isl_give isl_basic_map
*basic_map_space_reset(
2992 __isl_take isl_basic_map
*bmap
, enum isl_dim_type type
)
2998 if (!isl_space_is_named_or_nested(bmap
->dim
, type
))
3001 space
= isl_basic_map_get_space(bmap
);
3002 space
= isl_space_reset(space
, type
);
3003 bmap
= isl_basic_map_reset_space(bmap
, space
);
3007 __isl_give isl_basic_map
*isl_basic_map_insert_dims(
3008 __isl_take isl_basic_map
*bmap
, enum isl_dim_type type
,
3009 unsigned pos
, unsigned n
)
3012 struct isl_basic_map
*res
;
3013 struct isl_dim_map
*dim_map
;
3014 unsigned total
, off
;
3015 enum isl_dim_type t
;
3018 return basic_map_space_reset(bmap
, type
);
3023 res_dim
= isl_space_insert_dims(isl_basic_map_get_space(bmap
), type
, pos
, n
);
3025 total
= isl_basic_map_total_dim(bmap
) + n
;
3026 dim_map
= isl_dim_map_alloc(bmap
->ctx
, total
);
3028 for (t
= isl_dim_param
; t
<= isl_dim_out
; ++t
) {
3030 isl_dim_map_dim(dim_map
, bmap
->dim
, t
, off
);
3032 unsigned size
= isl_basic_map_dim(bmap
, t
);
3033 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3035 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3036 pos
, size
- pos
, off
+ pos
+ n
);
3038 off
+= isl_space_dim(res_dim
, t
);
3040 isl_dim_map_div(dim_map
, bmap
, off
);
3042 res
= isl_basic_map_alloc_space(res_dim
,
3043 bmap
->n_div
, bmap
->n_eq
, bmap
->n_ineq
);
3044 if (isl_basic_map_is_rational(bmap
))
3045 res
= isl_basic_map_set_rational(res
);
3046 if (isl_basic_map_plain_is_empty(bmap
)) {
3047 isl_basic_map_free(bmap
);
3048 return isl_basic_map_set_to_empty(res
);
3050 res
= isl_basic_map_add_constraints_dim_map(res
, bmap
, dim_map
);
3051 return isl_basic_map_finalize(res
);
3054 __isl_give isl_basic_set
*isl_basic_set_insert_dims(
3055 __isl_take isl_basic_set
*bset
,
3056 enum isl_dim_type type
, unsigned pos
, unsigned n
)
3058 return isl_basic_map_insert_dims(bset
, type
, pos
, n
);
3061 __isl_give isl_basic_map
*isl_basic_map_add(__isl_take isl_basic_map
*bmap
,
3062 enum isl_dim_type type
, unsigned n
)
3066 return isl_basic_map_insert_dims(bmap
, type
,
3067 isl_basic_map_dim(bmap
, type
), n
);
3070 __isl_give isl_basic_set
*isl_basic_set_add_dims(__isl_take isl_basic_set
*bset
,
3071 enum isl_dim_type type
, unsigned n
)
3075 isl_assert(bset
->ctx
, type
!= isl_dim_in
, goto error
);
3076 return (isl_basic_set
*)isl_basic_map_add((isl_basic_map
*)bset
, type
, n
);
3078 isl_basic_set_free(bset
);
3082 static __isl_give isl_map
*map_space_reset(__isl_take isl_map
*map
,
3083 enum isl_dim_type type
)
3087 if (!map
|| !isl_space_is_named_or_nested(map
->dim
, type
))
3090 space
= isl_map_get_space(map
);
3091 space
= isl_space_reset(space
, type
);
3092 map
= isl_map_reset_space(map
, space
);
3096 __isl_give isl_map
*isl_map_insert_dims(__isl_take isl_map
*map
,
3097 enum isl_dim_type type
, unsigned pos
, unsigned n
)
3102 return map_space_reset(map
, type
);
3104 map
= isl_map_cow(map
);
3108 map
->dim
= isl_space_insert_dims(map
->dim
, type
, pos
, n
);
3112 for (i
= 0; i
< map
->n
; ++i
) {
3113 map
->p
[i
] = isl_basic_map_insert_dims(map
->p
[i
], type
, pos
, n
);
3124 __isl_give isl_set
*isl_set_insert_dims(__isl_take isl_set
*set
,
3125 enum isl_dim_type type
, unsigned pos
, unsigned n
)
3127 return isl_map_insert_dims(set
, type
, pos
, n
);
3130 __isl_give isl_map
*isl_map_add_dims(__isl_take isl_map
*map
,
3131 enum isl_dim_type type
, unsigned n
)
3135 return isl_map_insert_dims(map
, type
, isl_map_dim(map
, type
), n
);
3138 __isl_give isl_set
*isl_set_add_dims(__isl_take isl_set
*set
,
3139 enum isl_dim_type type
, unsigned n
)
3143 isl_assert(set
->ctx
, type
!= isl_dim_in
, goto error
);
3144 return (isl_set
*)isl_map_add_dims((isl_map
*)set
, type
, n
);
3150 __isl_give isl_basic_map
*isl_basic_map_move_dims(
3151 __isl_take isl_basic_map
*bmap
,
3152 enum isl_dim_type dst_type
, unsigned dst_pos
,
3153 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
3155 struct isl_dim_map
*dim_map
;
3156 struct isl_basic_map
*res
;
3157 enum isl_dim_type t
;
3158 unsigned total
, off
;
3165 isl_assert(bmap
->ctx
, src_pos
+ n
<= isl_basic_map_dim(bmap
, src_type
),
3168 if (dst_type
== src_type
&& dst_pos
== src_pos
)
3171 isl_assert(bmap
->ctx
, dst_type
!= src_type
, goto error
);
3173 if (pos(bmap
->dim
, dst_type
) + dst_pos
==
3174 pos(bmap
->dim
, src_type
) + src_pos
+
3175 ((src_type
< dst_type
) ? n
: 0)) {
3176 bmap
= isl_basic_map_cow(bmap
);
3180 bmap
->dim
= isl_space_move_dims(bmap
->dim
, dst_type
, dst_pos
,
3181 src_type
, src_pos
, n
);
3185 bmap
= isl_basic_map_finalize(bmap
);
3190 total
= isl_basic_map_total_dim(bmap
);
3191 dim_map
= isl_dim_map_alloc(bmap
->ctx
, total
);
3194 for (t
= isl_dim_param
; t
<= isl_dim_out
; ++t
) {
3195 unsigned size
= isl_space_dim(bmap
->dim
, t
);
3196 if (t
== dst_type
) {
3197 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3200 isl_dim_map_dim_range(dim_map
, bmap
->dim
, src_type
,
3203 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3204 dst_pos
, size
- dst_pos
, off
);
3205 off
+= size
- dst_pos
;
3206 } else if (t
== src_type
) {
3207 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3210 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3211 src_pos
+ n
, size
- src_pos
- n
, off
);
3212 off
+= size
- src_pos
- n
;
3214 isl_dim_map_dim(dim_map
, bmap
->dim
, t
, off
);
3218 isl_dim_map_div(dim_map
, bmap
, off
);
3220 res
= isl_basic_map_alloc_space(isl_basic_map_get_space(bmap
),
3221 bmap
->n_div
, bmap
->n_eq
, bmap
->n_ineq
);
3222 bmap
= isl_basic_map_add_constraints_dim_map(res
, bmap
, dim_map
);
3224 bmap
->dim
= isl_space_move_dims(bmap
->dim
, dst_type
, dst_pos
,
3225 src_type
, src_pos
, n
);
3229 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
3230 bmap
= isl_basic_map_gauss(bmap
, NULL
);
3231 bmap
= isl_basic_map_finalize(bmap
);
3235 isl_basic_map_free(bmap
);
3239 __isl_give isl_basic_set
*isl_basic_set_move_dims(__isl_take isl_basic_set
*bset
,
3240 enum isl_dim_type dst_type
, unsigned dst_pos
,
3241 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
3243 return (isl_basic_set
*)isl_basic_map_move_dims(
3244 (isl_basic_map
*)bset
, dst_type
, dst_pos
, src_type
, src_pos
, n
);
3247 __isl_give isl_set
*isl_set_move_dims(__isl_take isl_set
*set
,
3248 enum isl_dim_type dst_type
, unsigned dst_pos
,
3249 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
3253 isl_assert(set
->ctx
, dst_type
!= isl_dim_in
, goto error
);
3254 return (isl_set
*)isl_map_move_dims((isl_map
*)set
, dst_type
, dst_pos
,
3255 src_type
, src_pos
, n
);
3261 __isl_give isl_map
*isl_map_move_dims(__isl_take isl_map
*map
,
3262 enum isl_dim_type dst_type
, unsigned dst_pos
,
3263 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
3272 isl_assert(map
->ctx
, src_pos
+ n
<= isl_map_dim(map
, src_type
),
3275 if (dst_type
== src_type
&& dst_pos
== src_pos
)
3278 isl_assert(map
->ctx
, dst_type
!= src_type
, goto error
);
3280 map
= isl_map_cow(map
);
3284 map
->dim
= isl_space_move_dims(map
->dim
, dst_type
, dst_pos
, src_type
, src_pos
, n
);
3288 for (i
= 0; i
< map
->n
; ++i
) {
3289 map
->p
[i
] = isl_basic_map_move_dims(map
->p
[i
],
3291 src_type
, src_pos
, n
);
3302 /* Move the specified dimensions to the last columns right before
3303 * the divs. Don't change the dimension specification of bmap.
3304 * That's the responsibility of the caller.
3306 static __isl_give isl_basic_map
*move_last(__isl_take isl_basic_map
*bmap
,
3307 enum isl_dim_type type
, unsigned first
, unsigned n
)
3309 struct isl_dim_map
*dim_map
;
3310 struct isl_basic_map
*res
;
3311 enum isl_dim_type t
;
3312 unsigned total
, off
;
3316 if (pos(bmap
->dim
, type
) + first
+ n
==
3317 1 + isl_space_dim(bmap
->dim
, isl_dim_all
))
3320 total
= isl_basic_map_total_dim(bmap
);
3321 dim_map
= isl_dim_map_alloc(bmap
->ctx
, total
);
3324 for (t
= isl_dim_param
; t
<= isl_dim_out
; ++t
) {
3325 unsigned size
= isl_space_dim(bmap
->dim
, t
);
3327 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3330 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3331 first
, n
, total
- bmap
->n_div
- n
);
3332 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3333 first
+ n
, size
- (first
+ n
), off
);
3334 off
+= size
- (first
+ n
);
3336 isl_dim_map_dim(dim_map
, bmap
->dim
, t
, off
);
3340 isl_dim_map_div(dim_map
, bmap
, off
+ n
);
3342 res
= isl_basic_map_alloc_space(isl_basic_map_get_space(bmap
),
3343 bmap
->n_div
, bmap
->n_eq
, bmap
->n_ineq
);
3344 res
= isl_basic_map_add_constraints_dim_map(res
, bmap
, dim_map
);
3348 /* Turn the n dimensions of type type, starting at first
3349 * into existentially quantified variables.
3351 __isl_give isl_basic_map
*isl_basic_map_project_out(
3352 __isl_take isl_basic_map
*bmap
,
3353 enum isl_dim_type type
, unsigned first
, unsigned n
)
3361 return basic_map_space_reset(bmap
, type
);
3366 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_RATIONAL
))
3367 return isl_basic_map_remove_dims(bmap
, type
, first
, n
);
3369 isl_assert(bmap
->ctx
, first
+ n
<= isl_basic_map_dim(bmap
, type
),
3372 bmap
= move_last(bmap
, type
, first
, n
);
3373 bmap
= isl_basic_map_cow(bmap
);
3377 row_size
= 1 + isl_space_dim(bmap
->dim
, isl_dim_all
) + bmap
->extra
;
3378 old
= bmap
->block2
.data
;
3379 bmap
->block2
= isl_blk_extend(bmap
->ctx
, bmap
->block2
,
3380 (bmap
->extra
+ n
) * (1 + row_size
));
3381 if (!bmap
->block2
.data
)
3383 new_div
= isl_alloc_array(bmap
->ctx
, isl_int
*, bmap
->extra
+ n
);
3386 for (i
= 0; i
< n
; ++i
) {
3387 new_div
[i
] = bmap
->block2
.data
+
3388 (bmap
->extra
+ i
) * (1 + row_size
);
3389 isl_seq_clr(new_div
[i
], 1 + row_size
);
3391 for (i
= 0; i
< bmap
->extra
; ++i
)
3392 new_div
[n
+ i
] = bmap
->block2
.data
+ (bmap
->div
[i
] - old
);
3394 bmap
->div
= new_div
;
3398 bmap
->dim
= isl_space_drop_dims(bmap
->dim
, type
, first
, n
);
3401 bmap
= isl_basic_map_simplify(bmap
);
3402 bmap
= isl_basic_map_drop_redundant_divs(bmap
);
3403 return isl_basic_map_finalize(bmap
);
3405 isl_basic_map_free(bmap
);
3409 /* Turn the n dimensions of type type, starting at first
3410 * into existentially quantified variables.
3412 struct isl_basic_set
*isl_basic_set_project_out(struct isl_basic_set
*bset
,
3413 enum isl_dim_type type
, unsigned first
, unsigned n
)
3415 return (isl_basic_set
*)isl_basic_map_project_out(
3416 (isl_basic_map
*)bset
, type
, first
, n
);
3419 /* Turn the n dimensions of type type, starting at first
3420 * into existentially quantified variables.
3422 __isl_give isl_map
*isl_map_project_out(__isl_take isl_map
*map
,
3423 enum isl_dim_type type
, unsigned first
, unsigned n
)
3431 return map_space_reset(map
, type
);
3433 isl_assert(map
->ctx
, first
+ n
<= isl_map_dim(map
, type
), goto error
);
3435 map
= isl_map_cow(map
);
3439 map
->dim
= isl_space_drop_dims(map
->dim
, type
, first
, n
);
3443 for (i
= 0; i
< map
->n
; ++i
) {
3444 map
->p
[i
] = isl_basic_map_project_out(map
->p
[i
], type
, first
, n
);
3455 /* Turn the n dimensions of type type, starting at first
3456 * into existentially quantified variables.
3458 __isl_give isl_set
*isl_set_project_out(__isl_take isl_set
*set
,
3459 enum isl_dim_type type
, unsigned first
, unsigned n
)
3461 return (isl_set
*)isl_map_project_out((isl_map
*)set
, type
, first
, n
);
3464 static struct isl_basic_map
*add_divs(struct isl_basic_map
*bmap
, unsigned n
)
3468 for (i
= 0; i
< n
; ++i
) {
3469 j
= isl_basic_map_alloc_div(bmap
);
3472 isl_seq_clr(bmap
->div
[j
], 1+1+isl_basic_map_total_dim(bmap
));
3476 isl_basic_map_free(bmap
);
3480 struct isl_basic_map
*isl_basic_map_apply_range(
3481 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
3483 isl_space
*dim_result
= NULL
;
3484 struct isl_basic_map
*bmap
;
3485 unsigned n_in
, n_out
, n
, nparam
, total
, pos
;
3486 struct isl_dim_map
*dim_map1
, *dim_map2
;
3488 if (!bmap1
|| !bmap2
)
3491 dim_result
= isl_space_join(isl_space_copy(bmap1
->dim
),
3492 isl_space_copy(bmap2
->dim
));
3494 n_in
= isl_basic_map_n_in(bmap1
);
3495 n_out
= isl_basic_map_n_out(bmap2
);
3496 n
= isl_basic_map_n_out(bmap1
);
3497 nparam
= isl_basic_map_n_param(bmap1
);
3499 total
= nparam
+ n_in
+ n_out
+ bmap1
->n_div
+ bmap2
->n_div
+ n
;
3500 dim_map1
= isl_dim_map_alloc(bmap1
->ctx
, total
);
3501 dim_map2
= isl_dim_map_alloc(bmap1
->ctx
, total
);
3502 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_param
, pos
= 0);
3503 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_param
, pos
= 0);
3504 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_in
, pos
+= nparam
);
3505 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_out
, pos
+= n_in
);
3506 isl_dim_map_div(dim_map1
, bmap1
, pos
+= n_out
);
3507 isl_dim_map_div(dim_map2
, bmap2
, pos
+= bmap1
->n_div
);
3508 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_out
, pos
+= bmap2
->n_div
);
3509 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_in
, pos
);
3511 bmap
= isl_basic_map_alloc_space(dim_result
,
3512 bmap1
->n_div
+ bmap2
->n_div
+ n
,
3513 bmap1
->n_eq
+ bmap2
->n_eq
,
3514 bmap1
->n_ineq
+ bmap2
->n_ineq
);
3515 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap1
, dim_map1
);
3516 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap2
, dim_map2
);
3517 bmap
= add_divs(bmap
, n
);
3518 bmap
= isl_basic_map_simplify(bmap
);
3519 bmap
= isl_basic_map_drop_redundant_divs(bmap
);
3520 return isl_basic_map_finalize(bmap
);
3522 isl_basic_map_free(bmap1
);
3523 isl_basic_map_free(bmap2
);
3527 struct isl_basic_set
*isl_basic_set_apply(
3528 struct isl_basic_set
*bset
, struct isl_basic_map
*bmap
)
3533 isl_assert(bset
->ctx
, isl_basic_map_compatible_domain(bmap
, bset
),
3536 return (struct isl_basic_set
*)
3537 isl_basic_map_apply_range((struct isl_basic_map
*)bset
, bmap
);
3539 isl_basic_set_free(bset
);
3540 isl_basic_map_free(bmap
);
3544 struct isl_basic_map
*isl_basic_map_apply_domain(
3545 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
3547 if (!bmap1
|| !bmap2
)
3550 isl_assert(bmap1
->ctx
,
3551 isl_basic_map_n_in(bmap1
) == isl_basic_map_n_in(bmap2
), goto error
);
3552 isl_assert(bmap1
->ctx
,
3553 isl_basic_map_n_param(bmap1
) == isl_basic_map_n_param(bmap2
),
3556 bmap1
= isl_basic_map_reverse(bmap1
);
3557 bmap1
= isl_basic_map_apply_range(bmap1
, bmap2
);
3558 return isl_basic_map_reverse(bmap1
);
3560 isl_basic_map_free(bmap1
);
3561 isl_basic_map_free(bmap2
);
3565 /* Given two basic maps A -> f(A) and B -> g(B), construct a basic map
3566 * A \cap B -> f(A) + f(B)
3568 struct isl_basic_map
*isl_basic_map_sum(
3569 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
3571 unsigned n_in
, n_out
, nparam
, total
, pos
;
3572 struct isl_basic_map
*bmap
= NULL
;
3573 struct isl_dim_map
*dim_map1
, *dim_map2
;
3576 if (!bmap1
|| !bmap2
)
3579 isl_assert(bmap1
->ctx
, isl_space_is_equal(bmap1
->dim
, bmap2
->dim
),
3582 nparam
= isl_basic_map_n_param(bmap1
);
3583 n_in
= isl_basic_map_n_in(bmap1
);
3584 n_out
= isl_basic_map_n_out(bmap1
);
3586 total
= nparam
+ n_in
+ n_out
+ bmap1
->n_div
+ bmap2
->n_div
+ 2 * n_out
;
3587 dim_map1
= isl_dim_map_alloc(bmap1
->ctx
, total
);
3588 dim_map2
= isl_dim_map_alloc(bmap2
->ctx
, total
);
3589 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_param
, pos
= 0);
3590 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_param
, pos
);
3591 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_in
, pos
+= nparam
);
3592 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_in
, pos
);
3593 isl_dim_map_div(dim_map1
, bmap1
, pos
+= n_in
+ n_out
);
3594 isl_dim_map_div(dim_map2
, bmap2
, pos
+= bmap1
->n_div
);
3595 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_out
, pos
+= bmap2
->n_div
);
3596 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_out
, pos
+= n_out
);
3598 bmap
= isl_basic_map_alloc_space(isl_space_copy(bmap1
->dim
),
3599 bmap1
->n_div
+ bmap2
->n_div
+ 2 * n_out
,
3600 bmap1
->n_eq
+ bmap2
->n_eq
+ n_out
,
3601 bmap1
->n_ineq
+ bmap2
->n_ineq
);
3602 for (i
= 0; i
< n_out
; ++i
) {
3603 int j
= isl_basic_map_alloc_equality(bmap
);
3606 isl_seq_clr(bmap
->eq
[j
], 1+total
);
3607 isl_int_set_si(bmap
->eq
[j
][1+nparam
+n_in
+i
], -1);
3608 isl_int_set_si(bmap
->eq
[j
][1+pos
+i
], 1);
3609 isl_int_set_si(bmap
->eq
[j
][1+pos
-n_out
+i
], 1);
3611 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap1
, dim_map1
);
3612 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap2
, dim_map2
);
3613 bmap
= add_divs(bmap
, 2 * n_out
);
3615 bmap
= isl_basic_map_simplify(bmap
);
3616 return isl_basic_map_finalize(bmap
);
3618 isl_basic_map_free(bmap
);
3619 isl_basic_map_free(bmap1
);
3620 isl_basic_map_free(bmap2
);
3624 /* Given two maps A -> f(A) and B -> g(B), construct a map
3625 * A \cap B -> f(A) + f(B)
3627 struct isl_map
*isl_map_sum(struct isl_map
*map1
, struct isl_map
*map2
)
3629 struct isl_map
*result
;
3635 isl_assert(map1
->ctx
, isl_space_is_equal(map1
->dim
, map2
->dim
), goto error
);
3637 result
= isl_map_alloc_space(isl_space_copy(map1
->dim
),
3638 map1
->n
* map2
->n
, 0);
3641 for (i
= 0; i
< map1
->n
; ++i
)
3642 for (j
= 0; j
< map2
->n
; ++j
) {
3643 struct isl_basic_map
*part
;
3644 part
= isl_basic_map_sum(
3645 isl_basic_map_copy(map1
->p
[i
]),
3646 isl_basic_map_copy(map2
->p
[j
]));
3647 if (isl_basic_map_is_empty(part
))
3648 isl_basic_map_free(part
);
3650 result
= isl_map_add_basic_map(result
, part
);
3663 __isl_give isl_set
*isl_set_sum(__isl_take isl_set
*set1
,
3664 __isl_take isl_set
*set2
)
3666 return (isl_set
*)isl_map_sum((isl_map
*)set1
, (isl_map
*)set2
);
3669 /* Given a basic map A -> f(A), construct A -> -f(A).
3671 struct isl_basic_map
*isl_basic_map_neg(struct isl_basic_map
*bmap
)
3676 bmap
= isl_basic_map_cow(bmap
);
3680 n
= isl_basic_map_dim(bmap
, isl_dim_out
);
3681 off
= isl_basic_map_offset(bmap
, isl_dim_out
);
3682 for (i
= 0; i
< bmap
->n_eq
; ++i
)
3683 for (j
= 0; j
< n
; ++j
)
3684 isl_int_neg(bmap
->eq
[i
][off
+j
], bmap
->eq
[i
][off
+j
]);
3685 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
3686 for (j
= 0; j
< n
; ++j
)
3687 isl_int_neg(bmap
->ineq
[i
][off
+j
], bmap
->ineq
[i
][off
+j
]);
3688 for (i
= 0; i
< bmap
->n_div
; ++i
)
3689 for (j
= 0; j
< n
; ++j
)
3690 isl_int_neg(bmap
->div
[i
][1+off
+j
], bmap
->div
[i
][1+off
+j
]);
3691 bmap
= isl_basic_map_gauss(bmap
, NULL
);
3692 return isl_basic_map_finalize(bmap
);
3695 __isl_give isl_basic_set
*isl_basic_set_neg(__isl_take isl_basic_set
*bset
)
3697 return isl_basic_map_neg(bset
);
3700 /* Given a map A -> f(A), construct A -> -f(A).
3702 struct isl_map
*isl_map_neg(struct isl_map
*map
)
3706 map
= isl_map_cow(map
);
3710 for (i
= 0; i
< map
->n
; ++i
) {
3711 map
->p
[i
] = isl_basic_map_neg(map
->p
[i
]);
3722 __isl_give isl_set
*isl_set_neg(__isl_take isl_set
*set
)
3724 return (isl_set
*)isl_map_neg((isl_map
*)set
);
3727 /* Given a basic map A -> f(A) and an integer d, construct a basic map
3728 * A -> floor(f(A)/d).
3730 struct isl_basic_map
*isl_basic_map_floordiv(struct isl_basic_map
*bmap
,
3733 unsigned n_in
, n_out
, nparam
, total
, pos
;
3734 struct isl_basic_map
*result
= NULL
;
3735 struct isl_dim_map
*dim_map
;
3741 nparam
= isl_basic_map_n_param(bmap
);
3742 n_in
= isl_basic_map_n_in(bmap
);
3743 n_out
= isl_basic_map_n_out(bmap
);
3745 total
= nparam
+ n_in
+ n_out
+ bmap
->n_div
+ n_out
;
3746 dim_map
= isl_dim_map_alloc(bmap
->ctx
, total
);
3747 isl_dim_map_dim(dim_map
, bmap
->dim
, isl_dim_param
, pos
= 0);
3748 isl_dim_map_dim(dim_map
, bmap
->dim
, isl_dim_in
, pos
+= nparam
);
3749 isl_dim_map_div(dim_map
, bmap
, pos
+= n_in
+ n_out
);
3750 isl_dim_map_dim(dim_map
, bmap
->dim
, isl_dim_out
, pos
+= bmap
->n_div
);
3752 result
= isl_basic_map_alloc_space(isl_space_copy(bmap
->dim
),
3753 bmap
->n_div
+ n_out
,
3754 bmap
->n_eq
, bmap
->n_ineq
+ 2 * n_out
);
3755 result
= isl_basic_map_add_constraints_dim_map(result
, bmap
, dim_map
);
3756 result
= add_divs(result
, n_out
);
3757 for (i
= 0; i
< n_out
; ++i
) {
3759 j
= isl_basic_map_alloc_inequality(result
);
3762 isl_seq_clr(result
->ineq
[j
], 1+total
);
3763 isl_int_neg(result
->ineq
[j
][1+nparam
+n_in
+i
], d
);
3764 isl_int_set_si(result
->ineq
[j
][1+pos
+i
], 1);
3765 j
= isl_basic_map_alloc_inequality(result
);
3768 isl_seq_clr(result
->ineq
[j
], 1+total
);
3769 isl_int_set(result
->ineq
[j
][1+nparam
+n_in
+i
], d
);
3770 isl_int_set_si(result
->ineq
[j
][1+pos
+i
], -1);
3771 isl_int_sub_ui(result
->ineq
[j
][0], d
, 1);
3774 result
= isl_basic_map_simplify(result
);
3775 return isl_basic_map_finalize(result
);
3777 isl_basic_map_free(result
);
3781 /* Given a map A -> f(A) and an integer d, construct a map
3782 * A -> floor(f(A)/d).
3784 struct isl_map
*isl_map_floordiv(struct isl_map
*map
, isl_int d
)
3788 map
= isl_map_cow(map
);
3792 ISL_F_CLR(map
, ISL_MAP_DISJOINT
);
3793 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
3794 for (i
= 0; i
< map
->n
; ++i
) {
3795 map
->p
[i
] = isl_basic_map_floordiv(map
->p
[i
], d
);
3806 static struct isl_basic_map
*var_equal(struct isl_basic_map
*bmap
, unsigned pos
)
3812 i
= isl_basic_map_alloc_equality(bmap
);
3815 nparam
= isl_basic_map_n_param(bmap
);
3816 n_in
= isl_basic_map_n_in(bmap
);
3817 isl_seq_clr(bmap
->eq
[i
], 1 + isl_basic_map_total_dim(bmap
));
3818 isl_int_set_si(bmap
->eq
[i
][1+nparam
+pos
], -1);
3819 isl_int_set_si(bmap
->eq
[i
][1+nparam
+n_in
+pos
], 1);
3820 return isl_basic_map_finalize(bmap
);
3822 isl_basic_map_free(bmap
);
3826 /* Add a constraints to "bmap" expressing i_pos < o_pos
3828 static struct isl_basic_map
*var_less(struct isl_basic_map
*bmap
, unsigned pos
)
3834 i
= isl_basic_map_alloc_inequality(bmap
);
3837 nparam
= isl_basic_map_n_param(bmap
);
3838 n_in
= isl_basic_map_n_in(bmap
);
3839 isl_seq_clr(bmap
->ineq
[i
], 1 + isl_basic_map_total_dim(bmap
));
3840 isl_int_set_si(bmap
->ineq
[i
][0], -1);
3841 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+pos
], -1);
3842 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+n_in
+pos
], 1);
3843 return isl_basic_map_finalize(bmap
);
3845 isl_basic_map_free(bmap
);
3849 /* Add a constraint to "bmap" expressing i_pos <= o_pos
3851 static __isl_give isl_basic_map
*var_less_or_equal(
3852 __isl_take isl_basic_map
*bmap
, unsigned pos
)
3858 i
= isl_basic_map_alloc_inequality(bmap
);
3861 nparam
= isl_basic_map_n_param(bmap
);
3862 n_in
= isl_basic_map_n_in(bmap
);
3863 isl_seq_clr(bmap
->ineq
[i
], 1 + isl_basic_map_total_dim(bmap
));
3864 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+pos
], -1);
3865 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+n_in
+pos
], 1);
3866 return isl_basic_map_finalize(bmap
);
3868 isl_basic_map_free(bmap
);
3872 /* Add a constraints to "bmap" expressing i_pos > o_pos
3874 static struct isl_basic_map
*var_more(struct isl_basic_map
*bmap
, unsigned pos
)
3880 i
= isl_basic_map_alloc_inequality(bmap
);
3883 nparam
= isl_basic_map_n_param(bmap
);
3884 n_in
= isl_basic_map_n_in(bmap
);
3885 isl_seq_clr(bmap
->ineq
[i
], 1 + isl_basic_map_total_dim(bmap
));
3886 isl_int_set_si(bmap
->ineq
[i
][0], -1);
3887 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+pos
], 1);
3888 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+n_in
+pos
], -1);
3889 return isl_basic_map_finalize(bmap
);
3891 isl_basic_map_free(bmap
);
3895 /* Add a constraint to "bmap" expressing i_pos >= o_pos
3897 static __isl_give isl_basic_map
*var_more_or_equal(
3898 __isl_take isl_basic_map
*bmap
, unsigned pos
)
3904 i
= isl_basic_map_alloc_inequality(bmap
);
3907 nparam
= isl_basic_map_n_param(bmap
);
3908 n_in
= isl_basic_map_n_in(bmap
);
3909 isl_seq_clr(bmap
->ineq
[i
], 1 + isl_basic_map_total_dim(bmap
));
3910 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+pos
], 1);
3911 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+n_in
+pos
], -1);
3912 return isl_basic_map_finalize(bmap
);
3914 isl_basic_map_free(bmap
);
3918 __isl_give isl_basic_map
*isl_basic_map_equal(
3919 __isl_take isl_space
*dim
, unsigned n_equal
)
3922 struct isl_basic_map
*bmap
;
3923 bmap
= isl_basic_map_alloc_space(dim
, 0, n_equal
, 0);
3926 for (i
= 0; i
< n_equal
&& bmap
; ++i
)
3927 bmap
= var_equal(bmap
, i
);
3928 return isl_basic_map_finalize(bmap
);
3931 /* Return a relation on of dimension "dim" expressing i_[0..pos] << o_[0..pos]
3933 __isl_give isl_basic_map
*isl_basic_map_less_at(__isl_take isl_space
*dim
,
3937 struct isl_basic_map
*bmap
;
3938 bmap
= isl_basic_map_alloc_space(dim
, 0, pos
, 1);
3941 for (i
= 0; i
< pos
&& bmap
; ++i
)
3942 bmap
= var_equal(bmap
, i
);
3944 bmap
= var_less(bmap
, pos
);
3945 return isl_basic_map_finalize(bmap
);
3948 /* Return a relation on of dimension "dim" expressing i_[0..pos] <<= o_[0..pos]
3950 __isl_give isl_basic_map
*isl_basic_map_less_or_equal_at(
3951 __isl_take isl_space
*dim
, unsigned pos
)
3954 isl_basic_map
*bmap
;
3956 bmap
= isl_basic_map_alloc_space(dim
, 0, pos
, 1);
3957 for (i
= 0; i
< pos
; ++i
)
3958 bmap
= var_equal(bmap
, i
);
3959 bmap
= var_less_or_equal(bmap
, pos
);
3960 return isl_basic_map_finalize(bmap
);
3963 /* Return a relation on pairs of sets of dimension "dim" expressing i_pos > o_pos
3965 __isl_give isl_basic_map
*isl_basic_map_more_at(__isl_take isl_space
*dim
,
3969 struct isl_basic_map
*bmap
;
3970 bmap
= isl_basic_map_alloc_space(dim
, 0, pos
, 1);
3973 for (i
= 0; i
< pos
&& bmap
; ++i
)
3974 bmap
= var_equal(bmap
, i
);
3976 bmap
= var_more(bmap
, pos
);
3977 return isl_basic_map_finalize(bmap
);
3980 /* Return a relation on of dimension "dim" expressing i_[0..pos] >>= o_[0..pos]
3982 __isl_give isl_basic_map
*isl_basic_map_more_or_equal_at(
3983 __isl_take isl_space
*dim
, unsigned pos
)
3986 isl_basic_map
*bmap
;
3988 bmap
= isl_basic_map_alloc_space(dim
, 0, pos
, 1);
3989 for (i
= 0; i
< pos
; ++i
)
3990 bmap
= var_equal(bmap
, i
);
3991 bmap
= var_more_or_equal(bmap
, pos
);
3992 return isl_basic_map_finalize(bmap
);
3995 static __isl_give isl_map
*map_lex_lte_first(__isl_take isl_space
*dims
,
3996 unsigned n
, int equal
)
3998 struct isl_map
*map
;
4001 if (n
== 0 && equal
)
4002 return isl_map_universe(dims
);
4004 map
= isl_map_alloc_space(isl_space_copy(dims
), n
, ISL_MAP_DISJOINT
);
4006 for (i
= 0; i
+ 1 < n
; ++i
)
4007 map
= isl_map_add_basic_map(map
,
4008 isl_basic_map_less_at(isl_space_copy(dims
), i
));
4011 map
= isl_map_add_basic_map(map
,
4012 isl_basic_map_less_or_equal_at(dims
, n
- 1));
4014 map
= isl_map_add_basic_map(map
,
4015 isl_basic_map_less_at(dims
, n
- 1));
4017 isl_space_free(dims
);
4022 static __isl_give isl_map
*map_lex_lte(__isl_take isl_space
*dims
, int equal
)
4026 return map_lex_lte_first(dims
, dims
->n_out
, equal
);
4029 __isl_give isl_map
*isl_map_lex_lt_first(__isl_take isl_space
*dim
, unsigned n
)
4031 return map_lex_lte_first(dim
, n
, 0);
4034 __isl_give isl_map
*isl_map_lex_le_first(__isl_take isl_space
*dim
, unsigned n
)
4036 return map_lex_lte_first(dim
, n
, 1);
4039 __isl_give isl_map
*isl_map_lex_lt(__isl_take isl_space
*set_dim
)
4041 return map_lex_lte(isl_space_map_from_set(set_dim
), 0);
4044 __isl_give isl_map
*isl_map_lex_le(__isl_take isl_space
*set_dim
)
4046 return map_lex_lte(isl_space_map_from_set(set_dim
), 1);
4049 static __isl_give isl_map
*map_lex_gte_first(__isl_take isl_space
*dims
,
4050 unsigned n
, int equal
)
4052 struct isl_map
*map
;
4055 if (n
== 0 && equal
)
4056 return isl_map_universe(dims
);
4058 map
= isl_map_alloc_space(isl_space_copy(dims
), n
, ISL_MAP_DISJOINT
);
4060 for (i
= 0; i
+ 1 < n
; ++i
)
4061 map
= isl_map_add_basic_map(map
,
4062 isl_basic_map_more_at(isl_space_copy(dims
), i
));
4065 map
= isl_map_add_basic_map(map
,
4066 isl_basic_map_more_or_equal_at(dims
, n
- 1));
4068 map
= isl_map_add_basic_map(map
,
4069 isl_basic_map_more_at(dims
, n
- 1));
4071 isl_space_free(dims
);
4076 static __isl_give isl_map
*map_lex_gte(__isl_take isl_space
*dims
, int equal
)
4080 return map_lex_gte_first(dims
, dims
->n_out
, equal
);
4083 __isl_give isl_map
*isl_map_lex_gt_first(__isl_take isl_space
*dim
, unsigned n
)
4085 return map_lex_gte_first(dim
, n
, 0);
4088 __isl_give isl_map
*isl_map_lex_ge_first(__isl_take isl_space
*dim
, unsigned n
)
4090 return map_lex_gte_first(dim
, n
, 1);
4093 __isl_give isl_map
*isl_map_lex_gt(__isl_take isl_space
*set_dim
)
4095 return map_lex_gte(isl_space_map_from_set(set_dim
), 0);
4098 __isl_give isl_map
*isl_map_lex_ge(__isl_take isl_space
*set_dim
)
4100 return map_lex_gte(isl_space_map_from_set(set_dim
), 1);
4103 __isl_give isl_map
*isl_set_lex_le_set(__isl_take isl_set
*set1
,
4104 __isl_take isl_set
*set2
)
4107 map
= isl_map_lex_le(isl_set_get_space(set1
));
4108 map
= isl_map_intersect_domain(map
, set1
);
4109 map
= isl_map_intersect_range(map
, set2
);
4113 __isl_give isl_map
*isl_set_lex_lt_set(__isl_take isl_set
*set1
,
4114 __isl_take isl_set
*set2
)
4117 map
= isl_map_lex_lt(isl_set_get_space(set1
));
4118 map
= isl_map_intersect_domain(map
, set1
);
4119 map
= isl_map_intersect_range(map
, set2
);
4123 __isl_give isl_map
*isl_set_lex_ge_set(__isl_take isl_set
*set1
,
4124 __isl_take isl_set
*set2
)
4127 map
= isl_map_lex_ge(isl_set_get_space(set1
));
4128 map
= isl_map_intersect_domain(map
, set1
);
4129 map
= isl_map_intersect_range(map
, set2
);
4133 __isl_give isl_map
*isl_set_lex_gt_set(__isl_take isl_set
*set1
,
4134 __isl_take isl_set
*set2
)
4137 map
= isl_map_lex_gt(isl_set_get_space(set1
));
4138 map
= isl_map_intersect_domain(map
, set1
);
4139 map
= isl_map_intersect_range(map
, set2
);
4143 __isl_give isl_map
*isl_map_lex_le_map(__isl_take isl_map
*map1
,
4144 __isl_take isl_map
*map2
)
4147 map
= isl_map_lex_le(isl_space_range(isl_map_get_space(map1
)));
4148 map
= isl_map_apply_domain(map
, isl_map_reverse(map1
));
4149 map
= isl_map_apply_range(map
, isl_map_reverse(map2
));
4153 __isl_give isl_map
*isl_map_lex_lt_map(__isl_take isl_map
*map1
,
4154 __isl_take isl_map
*map2
)
4157 map
= isl_map_lex_lt(isl_space_range(isl_map_get_space(map1
)));
4158 map
= isl_map_apply_domain(map
, isl_map_reverse(map1
));
4159 map
= isl_map_apply_range(map
, isl_map_reverse(map2
));
4163 __isl_give isl_map
*isl_map_lex_ge_map(__isl_take isl_map
*map1
,
4164 __isl_take isl_map
*map2
)
4167 map
= isl_map_lex_ge(isl_space_range(isl_map_get_space(map1
)));
4168 map
= isl_map_apply_domain(map
, isl_map_reverse(map1
));
4169 map
= isl_map_apply_range(map
, isl_map_reverse(map2
));
4173 __isl_give isl_map
*isl_map_lex_gt_map(__isl_take isl_map
*map1
,
4174 __isl_take isl_map
*map2
)
4177 map
= isl_map_lex_gt(isl_space_range(isl_map_get_space(map1
)));
4178 map
= isl_map_apply_domain(map
, isl_map_reverse(map1
));
4179 map
= isl_map_apply_range(map
, isl_map_reverse(map2
));
4183 __isl_give isl_basic_map
*isl_basic_map_from_basic_set(
4184 __isl_take isl_basic_set
*bset
, __isl_take isl_space
*dim
)
4186 struct isl_basic_map
*bmap
;
4188 bset
= isl_basic_set_cow(bset
);
4192 isl_assert(bset
->ctx
, isl_space_compatible(bset
->dim
, dim
), goto error
);
4193 isl_space_free(bset
->dim
);
4194 bmap
= (struct isl_basic_map
*) bset
;
4196 return isl_basic_map_finalize(bmap
);
4198 isl_basic_set_free(bset
);
4199 isl_space_free(dim
);
4203 struct isl_basic_set
*isl_basic_set_from_basic_map(struct isl_basic_map
*bmap
)
4207 if (bmap
->dim
->n_in
== 0)
4208 return (struct isl_basic_set
*)bmap
;
4209 bmap
= isl_basic_map_cow(bmap
);
4212 bmap
->dim
= isl_space_as_set_space(bmap
->dim
);
4215 bmap
= isl_basic_map_finalize(bmap
);
4216 return (struct isl_basic_set
*)bmap
;
4218 isl_basic_map_free(bmap
);
4222 /* For a div d = floor(f/m), add the constraints
4225 * -(f-(n-1)) + m d >= 0
4227 * Note that the second constraint is the negation of
4231 int isl_basic_map_add_div_constraints_var(__isl_keep isl_basic_map
*bmap
,
4232 unsigned pos
, isl_int
*div
)
4235 unsigned total
= isl_basic_map_total_dim(bmap
);
4237 i
= isl_basic_map_alloc_inequality(bmap
);
4240 isl_seq_cpy(bmap
->ineq
[i
], div
+ 1, 1 + total
);
4241 isl_int_neg(bmap
->ineq
[i
][1 + pos
], div
[0]);
4243 j
= isl_basic_map_alloc_inequality(bmap
);
4246 isl_seq_neg(bmap
->ineq
[j
], bmap
->ineq
[i
], 1 + total
);
4247 isl_int_add(bmap
->ineq
[j
][0], bmap
->ineq
[j
][0], bmap
->ineq
[j
][1 + pos
]);
4248 isl_int_sub_ui(bmap
->ineq
[j
][0], bmap
->ineq
[j
][0], 1);
4252 int isl_basic_set_add_div_constraints_var(__isl_keep isl_basic_set
*bset
,
4253 unsigned pos
, isl_int
*div
)
4255 return isl_basic_map_add_div_constraints_var((isl_basic_map
*)bset
,
4259 int isl_basic_map_add_div_constraints(struct isl_basic_map
*bmap
, unsigned div
)
4261 unsigned total
= isl_basic_map_total_dim(bmap
);
4262 unsigned div_pos
= total
- bmap
->n_div
+ div
;
4264 return isl_basic_map_add_div_constraints_var(bmap
, div_pos
,
4268 int isl_basic_set_add_div_constraints(struct isl_basic_set
*bset
, unsigned div
)
4270 return isl_basic_map_add_div_constraints(bset
, div
);
4273 struct isl_basic_set
*isl_basic_map_underlying_set(
4274 struct isl_basic_map
*bmap
)
4278 if (bmap
->dim
->nparam
== 0 && bmap
->dim
->n_in
== 0 &&
4280 !isl_space_is_named_or_nested(bmap
->dim
, isl_dim_in
) &&
4281 !isl_space_is_named_or_nested(bmap
->dim
, isl_dim_out
))
4282 return (struct isl_basic_set
*)bmap
;
4283 bmap
= isl_basic_map_cow(bmap
);
4286 bmap
->dim
= isl_space_underlying(bmap
->dim
, bmap
->n_div
);
4289 bmap
->extra
-= bmap
->n_div
;
4291 bmap
= isl_basic_map_finalize(bmap
);
4292 return (struct isl_basic_set
*)bmap
;
4294 isl_basic_map_free(bmap
);
4298 __isl_give isl_basic_set
*isl_basic_set_underlying_set(
4299 __isl_take isl_basic_set
*bset
)
4301 return isl_basic_map_underlying_set((isl_basic_map
*)bset
);
4304 struct isl_basic_map
*isl_basic_map_overlying_set(
4305 struct isl_basic_set
*bset
, struct isl_basic_map
*like
)
4307 struct isl_basic_map
*bmap
;
4308 struct isl_ctx
*ctx
;
4315 isl_assert(ctx
, bset
->n_div
== 0, goto error
);
4316 isl_assert(ctx
, isl_basic_set_n_param(bset
) == 0, goto error
);
4317 isl_assert(ctx
, bset
->dim
->n_out
== isl_basic_map_total_dim(like
),
4319 if (isl_space_is_equal(bset
->dim
, like
->dim
) && like
->n_div
== 0) {
4320 isl_basic_map_free(like
);
4321 return (struct isl_basic_map
*)bset
;
4323 bset
= isl_basic_set_cow(bset
);
4326 total
= bset
->dim
->n_out
+ bset
->extra
;
4327 bmap
= (struct isl_basic_map
*)bset
;
4328 isl_space_free(bmap
->dim
);
4329 bmap
->dim
= isl_space_copy(like
->dim
);
4332 bmap
->n_div
= like
->n_div
;
4333 bmap
->extra
+= like
->n_div
;
4337 ltotal
= total
- bmap
->extra
+ like
->extra
;
4340 bmap
->block2
= isl_blk_extend(ctx
, bmap
->block2
,
4341 bmap
->extra
* (1 + 1 + total
));
4342 if (isl_blk_is_error(bmap
->block2
))
4344 div
= isl_realloc_array(ctx
, bmap
->div
, isl_int
*, bmap
->extra
);
4348 for (i
= 0; i
< bmap
->extra
; ++i
)
4349 bmap
->div
[i
] = bmap
->block2
.data
+ i
* (1 + 1 + total
);
4350 for (i
= 0; i
< like
->n_div
; ++i
) {
4351 isl_seq_cpy(bmap
->div
[i
], like
->div
[i
], 1 + 1 + ltotal
);
4352 isl_seq_clr(bmap
->div
[i
]+1+1+ltotal
, total
- ltotal
);
4354 bmap
= isl_basic_map_extend_constraints(bmap
,
4355 0, 2 * like
->n_div
);
4356 for (i
= 0; i
< like
->n_div
; ++i
) {
4359 if (isl_int_is_zero(bmap
->div
[i
][0]))
4361 if (isl_basic_map_add_div_constraints(bmap
, i
) < 0)
4362 bmap
= isl_basic_map_free(bmap
);
4365 isl_basic_map_free(like
);
4366 bmap
= isl_basic_map_simplify(bmap
);
4367 bmap
= isl_basic_map_finalize(bmap
);
4370 isl_basic_map_free(like
);
4371 isl_basic_set_free(bset
);
4375 struct isl_basic_set
*isl_basic_set_from_underlying_set(
4376 struct isl_basic_set
*bset
, struct isl_basic_set
*like
)
4378 return (struct isl_basic_set
*)
4379 isl_basic_map_overlying_set(bset
, (struct isl_basic_map
*)like
);
4382 struct isl_set
*isl_set_from_underlying_set(
4383 struct isl_set
*set
, struct isl_basic_set
*like
)
4389 isl_assert(set
->ctx
, set
->dim
->n_out
== isl_basic_set_total_dim(like
),
4391 if (isl_space_is_equal(set
->dim
, like
->dim
) && like
->n_div
== 0) {
4392 isl_basic_set_free(like
);
4395 set
= isl_set_cow(set
);
4398 for (i
= 0; i
< set
->n
; ++i
) {
4399 set
->p
[i
] = isl_basic_set_from_underlying_set(set
->p
[i
],
4400 isl_basic_set_copy(like
));
4404 isl_space_free(set
->dim
);
4405 set
->dim
= isl_space_copy(like
->dim
);
4408 isl_basic_set_free(like
);
4411 isl_basic_set_free(like
);
4416 struct isl_set
*isl_map_underlying_set(struct isl_map
*map
)
4420 map
= isl_map_cow(map
);
4423 map
->dim
= isl_space_cow(map
->dim
);
4427 for (i
= 1; i
< map
->n
; ++i
)
4428 isl_assert(map
->ctx
, map
->p
[0]->n_div
== map
->p
[i
]->n_div
,
4430 for (i
= 0; i
< map
->n
; ++i
) {
4431 map
->p
[i
] = (struct isl_basic_map
*)
4432 isl_basic_map_underlying_set(map
->p
[i
]);
4437 map
->dim
= isl_space_underlying(map
->dim
, 0);
4439 isl_space_free(map
->dim
);
4440 map
->dim
= isl_space_copy(map
->p
[0]->dim
);
4444 return (struct isl_set
*)map
;
4450 struct isl_set
*isl_set_to_underlying_set(struct isl_set
*set
)
4452 return (struct isl_set
*)isl_map_underlying_set((struct isl_map
*)set
);
4455 __isl_give isl_basic_map
*isl_basic_map_reset_space(
4456 __isl_take isl_basic_map
*bmap
, __isl_take isl_space
*dim
)
4458 bmap
= isl_basic_map_cow(bmap
);
4462 isl_space_free(bmap
->dim
);
4465 bmap
= isl_basic_map_finalize(bmap
);
4469 isl_basic_map_free(bmap
);
4470 isl_space_free(dim
);
4474 __isl_give isl_basic_set
*isl_basic_set_reset_space(
4475 __isl_take isl_basic_set
*bset
, __isl_take isl_space
*dim
)
4477 return (isl_basic_set
*)isl_basic_map_reset_space((isl_basic_map
*)bset
,
4481 __isl_give isl_map
*isl_map_reset_space(__isl_take isl_map
*map
,
4482 __isl_take isl_space
*dim
)
4486 map
= isl_map_cow(map
);
4490 for (i
= 0; i
< map
->n
; ++i
) {
4491 map
->p
[i
] = isl_basic_map_reset_space(map
->p
[i
],
4492 isl_space_copy(dim
));
4496 isl_space_free(map
->dim
);
4502 isl_space_free(dim
);
4506 __isl_give isl_set
*isl_set_reset_space(__isl_take isl_set
*set
,
4507 __isl_take isl_space
*dim
)
4509 return (struct isl_set
*) isl_map_reset_space((struct isl_map
*)set
, dim
);
4512 /* Compute the parameter domain of the given basic set.
4514 __isl_give isl_basic_set
*isl_basic_set_params(__isl_take isl_basic_set
*bset
)
4519 if (isl_basic_set_is_params(bset
))
4522 n
= isl_basic_set_dim(bset
, isl_dim_set
);
4523 bset
= isl_basic_set_project_out(bset
, isl_dim_set
, 0, n
);
4524 space
= isl_basic_set_get_space(bset
);
4525 space
= isl_space_params(space
);
4526 bset
= isl_basic_set_reset_space(bset
, space
);
4530 /* Construct a zero-dimensional basic set with the given parameter domain.
4532 __isl_give isl_basic_set
*isl_basic_set_from_params(
4533 __isl_take isl_basic_set
*bset
)
4536 space
= isl_basic_set_get_space(bset
);
4537 space
= isl_space_set_from_params(space
);
4538 bset
= isl_basic_set_reset_space(bset
, space
);
4542 /* Compute the parameter domain of the given set.
4544 __isl_give isl_set
*isl_set_params(__isl_take isl_set
*set
)
4549 if (isl_set_is_params(set
))
4552 n
= isl_set_dim(set
, isl_dim_set
);
4553 set
= isl_set_project_out(set
, isl_dim_set
, 0, n
);
4554 space
= isl_set_get_space(set
);
4555 space
= isl_space_params(space
);
4556 set
= isl_set_reset_space(set
, space
);
4560 /* Construct a zero-dimensional set with the given parameter domain.
4562 __isl_give isl_set
*isl_set_from_params(__isl_take isl_set
*set
)
4565 space
= isl_set_get_space(set
);
4566 space
= isl_space_set_from_params(space
);
4567 set
= isl_set_reset_space(set
, space
);
4571 /* Compute the parameter domain of the given map.
4573 __isl_give isl_set
*isl_map_params(__isl_take isl_map
*map
)
4578 n
= isl_map_dim(map
, isl_dim_in
);
4579 map
= isl_map_project_out(map
, isl_dim_in
, 0, n
);
4580 n
= isl_map_dim(map
, isl_dim_out
);
4581 map
= isl_map_project_out(map
, isl_dim_out
, 0, n
);
4582 space
= isl_map_get_space(map
);
4583 space
= isl_space_params(space
);
4584 map
= isl_map_reset_space(map
, space
);
4588 struct isl_basic_set
*isl_basic_map_domain(struct isl_basic_map
*bmap
)
4591 struct isl_basic_set
*domain
;
4597 dim
= isl_space_domain(isl_basic_map_get_space(bmap
));
4599 n_in
= isl_basic_map_n_in(bmap
);
4600 n_out
= isl_basic_map_n_out(bmap
);
4601 domain
= isl_basic_set_from_basic_map(bmap
);
4602 domain
= isl_basic_set_project_out(domain
, isl_dim_set
, n_in
, n_out
);
4604 domain
= isl_basic_set_reset_space(domain
, dim
);
4609 int isl_basic_map_may_be_set(__isl_keep isl_basic_map
*bmap
)
4613 return isl_space_may_be_set(bmap
->dim
);
4616 /* Is this basic map actually a set?
4617 * Users should never call this function. Outside of isl,
4618 * the type should indicate whether something is a set or a map.
4620 int isl_basic_map_is_set(__isl_keep isl_basic_map
*bmap
)
4624 return isl_space_is_set(bmap
->dim
);
4627 struct isl_basic_set
*isl_basic_map_range(struct isl_basic_map
*bmap
)
4631 if (isl_basic_map_is_set(bmap
))
4633 return isl_basic_map_domain(isl_basic_map_reverse(bmap
));
4636 __isl_give isl_basic_map
*isl_basic_map_domain_map(
4637 __isl_take isl_basic_map
*bmap
)
4641 isl_basic_map
*domain
;
4642 int nparam
, n_in
, n_out
;
4645 nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
4646 n_in
= isl_basic_map_dim(bmap
, isl_dim_in
);
4647 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
4649 dim
= isl_space_from_range(isl_space_domain(isl_basic_map_get_space(bmap
)));
4650 domain
= isl_basic_map_universe(dim
);
4652 bmap
= isl_basic_map_from_domain(isl_basic_map_wrap(bmap
));
4653 bmap
= isl_basic_map_apply_range(bmap
, domain
);
4654 bmap
= isl_basic_map_extend_constraints(bmap
, n_in
, 0);
4656 total
= isl_basic_map_total_dim(bmap
);
4658 for (i
= 0; i
< n_in
; ++i
) {
4659 k
= isl_basic_map_alloc_equality(bmap
);
4662 isl_seq_clr(bmap
->eq
[k
], 1 + total
);
4663 isl_int_set_si(bmap
->eq
[k
][1 + nparam
+ i
], -1);
4664 isl_int_set_si(bmap
->eq
[k
][1 + nparam
+ n_in
+ n_out
+ i
], 1);
4667 bmap
= isl_basic_map_gauss(bmap
, NULL
);
4668 return isl_basic_map_finalize(bmap
);
4670 isl_basic_map_free(bmap
);
4674 __isl_give isl_basic_map
*isl_basic_map_range_map(
4675 __isl_take isl_basic_map
*bmap
)
4679 isl_basic_map
*range
;
4680 int nparam
, n_in
, n_out
;
4683 nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
4684 n_in
= isl_basic_map_dim(bmap
, isl_dim_in
);
4685 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
4687 dim
= isl_space_from_range(isl_space_range(isl_basic_map_get_space(bmap
)));
4688 range
= isl_basic_map_universe(dim
);
4690 bmap
= isl_basic_map_from_domain(isl_basic_map_wrap(bmap
));
4691 bmap
= isl_basic_map_apply_range(bmap
, range
);
4692 bmap
= isl_basic_map_extend_constraints(bmap
, n_out
, 0);
4694 total
= isl_basic_map_total_dim(bmap
);
4696 for (i
= 0; i
< n_out
; ++i
) {
4697 k
= isl_basic_map_alloc_equality(bmap
);
4700 isl_seq_clr(bmap
->eq
[k
], 1 + total
);
4701 isl_int_set_si(bmap
->eq
[k
][1 + nparam
+ n_in
+ i
], -1);
4702 isl_int_set_si(bmap
->eq
[k
][1 + nparam
+ n_in
+ n_out
+ i
], 1);
4705 bmap
= isl_basic_map_gauss(bmap
, NULL
);
4706 return isl_basic_map_finalize(bmap
);
4708 isl_basic_map_free(bmap
);
4712 int isl_map_may_be_set(__isl_keep isl_map
*map
)
4716 return isl_space_may_be_set(map
->dim
);
4719 /* Is this map actually a set?
4720 * Users should never call this function. Outside of isl,
4721 * the type should indicate whether something is a set or a map.
4723 int isl_map_is_set(__isl_keep isl_map
*map
)
4727 return isl_space_is_set(map
->dim
);
4730 struct isl_set
*isl_map_range(struct isl_map
*map
)
4733 struct isl_set
*set
;
4737 if (isl_map_is_set(map
))
4738 return (isl_set
*)map
;
4740 map
= isl_map_cow(map
);
4744 set
= (struct isl_set
*) map
;
4745 set
->dim
= isl_space_range(set
->dim
);
4748 for (i
= 0; i
< map
->n
; ++i
) {
4749 set
->p
[i
] = isl_basic_map_range(map
->p
[i
]);
4753 ISL_F_CLR(set
, ISL_MAP_DISJOINT
);
4754 ISL_F_CLR(set
, ISL_SET_NORMALIZED
);
4761 __isl_give isl_map
*isl_map_domain_map(__isl_take isl_map
*map
)
4764 isl_space
*domain_dim
;
4766 map
= isl_map_cow(map
);
4770 domain_dim
= isl_space_from_range(isl_space_domain(isl_map_get_space(map
)));
4771 map
->dim
= isl_space_from_domain(isl_space_wrap(map
->dim
));
4772 map
->dim
= isl_space_join(map
->dim
, domain_dim
);
4775 for (i
= 0; i
< map
->n
; ++i
) {
4776 map
->p
[i
] = isl_basic_map_domain_map(map
->p
[i
]);
4780 ISL_F_CLR(map
, ISL_MAP_DISJOINT
);
4781 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
4788 __isl_give isl_map
*isl_map_range_map(__isl_take isl_map
*map
)
4791 isl_space
*range_dim
;
4793 map
= isl_map_cow(map
);
4797 range_dim
= isl_space_range(isl_map_get_space(map
));
4798 range_dim
= isl_space_from_range(range_dim
);
4799 map
->dim
= isl_space_from_domain(isl_space_wrap(map
->dim
));
4800 map
->dim
= isl_space_join(map
->dim
, range_dim
);
4803 for (i
= 0; i
< map
->n
; ++i
) {
4804 map
->p
[i
] = isl_basic_map_range_map(map
->p
[i
]);
4808 ISL_F_CLR(map
, ISL_MAP_DISJOINT
);
4809 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
4816 __isl_give isl_map
*isl_map_from_set(__isl_take isl_set
*set
,
4817 __isl_take isl_space
*dim
)
4820 struct isl_map
*map
= NULL
;
4822 set
= isl_set_cow(set
);
4825 isl_assert(set
->ctx
, isl_space_compatible(set
->dim
, dim
), goto error
);
4826 map
= (struct isl_map
*)set
;
4827 for (i
= 0; i
< set
->n
; ++i
) {
4828 map
->p
[i
] = isl_basic_map_from_basic_set(
4829 set
->p
[i
], isl_space_copy(dim
));
4833 isl_space_free(map
->dim
);
4837 isl_space_free(dim
);
4842 __isl_give isl_basic_map
*isl_basic_map_from_domain(
4843 __isl_take isl_basic_set
*bset
)
4845 return isl_basic_map_reverse(isl_basic_map_from_range(bset
));
4848 __isl_give isl_basic_map
*isl_basic_map_from_range(
4849 __isl_take isl_basic_set
*bset
)
4852 space
= isl_basic_set_get_space(bset
);
4853 space
= isl_space_from_range(space
);
4854 bset
= isl_basic_set_reset_space(bset
, space
);
4855 return (isl_basic_map
*)bset
;
4858 struct isl_map
*isl_map_from_range(struct isl_set
*set
)
4861 space
= isl_set_get_space(set
);
4862 space
= isl_space_from_range(space
);
4863 set
= isl_set_reset_space(set
, space
);
4864 return (struct isl_map
*)set
;
4867 __isl_give isl_map
*isl_map_from_domain(__isl_take isl_set
*set
)
4869 return isl_map_reverse(isl_map_from_range(set
));
4872 __isl_give isl_basic_map
*isl_basic_map_from_domain_and_range(
4873 __isl_take isl_basic_set
*domain
, __isl_take isl_basic_set
*range
)
4875 return isl_basic_map_apply_range(isl_basic_map_reverse(domain
), range
);
4878 __isl_give isl_map
*isl_map_from_domain_and_range(__isl_take isl_set
*domain
,
4879 __isl_take isl_set
*range
)
4881 return isl_map_apply_range(isl_map_reverse(domain
), range
);
4884 struct isl_set
*isl_set_from_map(struct isl_map
*map
)
4887 struct isl_set
*set
= NULL
;
4891 map
= isl_map_cow(map
);
4894 map
->dim
= isl_space_as_set_space(map
->dim
);
4897 set
= (struct isl_set
*)map
;
4898 for (i
= 0; i
< map
->n
; ++i
) {
4899 set
->p
[i
] = isl_basic_set_from_basic_map(map
->p
[i
]);
4909 __isl_give isl_map
*isl_map_alloc_space(__isl_take isl_space
*dim
, int n
,
4912 struct isl_map
*map
;
4917 isl_die(dim
->ctx
, isl_error_internal
,
4918 "negative number of basic maps", goto error
);
4919 map
= isl_alloc(dim
->ctx
, struct isl_map
,
4920 sizeof(struct isl_map
) +
4921 (n
- 1) * sizeof(struct isl_basic_map
*));
4925 map
->ctx
= dim
->ctx
;
4926 isl_ctx_ref(map
->ctx
);
4934 isl_space_free(dim
);
4938 struct isl_map
*isl_map_alloc(struct isl_ctx
*ctx
,
4939 unsigned nparam
, unsigned in
, unsigned out
, int n
,
4942 struct isl_map
*map
;
4945 dims
= isl_space_alloc(ctx
, nparam
, in
, out
);
4949 map
= isl_map_alloc_space(dims
, n
, flags
);
4953 __isl_give isl_basic_map
*isl_basic_map_empty(__isl_take isl_space
*dim
)
4955 struct isl_basic_map
*bmap
;
4956 bmap
= isl_basic_map_alloc_space(dim
, 0, 1, 0);
4957 bmap
= isl_basic_map_set_to_empty(bmap
);
4961 __isl_give isl_basic_set
*isl_basic_set_empty(__isl_take isl_space
*dim
)
4963 struct isl_basic_set
*bset
;
4964 bset
= isl_basic_set_alloc_space(dim
, 0, 1, 0);
4965 bset
= isl_basic_set_set_to_empty(bset
);
4969 struct isl_basic_map
*isl_basic_map_empty_like(struct isl_basic_map
*model
)
4971 struct isl_basic_map
*bmap
;
4974 bmap
= isl_basic_map_alloc_space(isl_space_copy(model
->dim
), 0, 1, 0);
4975 bmap
= isl_basic_map_set_to_empty(bmap
);
4979 struct isl_basic_map
*isl_basic_map_empty_like_map(struct isl_map
*model
)
4981 struct isl_basic_map
*bmap
;
4984 bmap
= isl_basic_map_alloc_space(isl_space_copy(model
->dim
), 0, 1, 0);
4985 bmap
= isl_basic_map_set_to_empty(bmap
);
4989 struct isl_basic_set
*isl_basic_set_empty_like(struct isl_basic_set
*model
)
4991 struct isl_basic_set
*bset
;
4994 bset
= isl_basic_set_alloc_space(isl_space_copy(model
->dim
), 0, 1, 0);
4995 bset
= isl_basic_set_set_to_empty(bset
);
4999 __isl_give isl_basic_map
*isl_basic_map_universe(__isl_take isl_space
*dim
)
5001 struct isl_basic_map
*bmap
;
5002 bmap
= isl_basic_map_alloc_space(dim
, 0, 0, 0);
5003 bmap
= isl_basic_map_finalize(bmap
);
5007 __isl_give isl_basic_set
*isl_basic_set_universe(__isl_take isl_space
*dim
)
5009 struct isl_basic_set
*bset
;
5010 bset
= isl_basic_set_alloc_space(dim
, 0, 0, 0);
5011 bset
= isl_basic_set_finalize(bset
);
5015 __isl_give isl_basic_map
*isl_basic_map_nat_universe(__isl_take isl_space
*dim
)
5018 unsigned total
= isl_space_dim(dim
, isl_dim_all
);
5019 isl_basic_map
*bmap
;
5021 bmap
= isl_basic_map_alloc_space(dim
, 0, 0, total
);
5022 for (i
= 0; i
< total
; ++i
) {
5023 int k
= isl_basic_map_alloc_inequality(bmap
);
5026 isl_seq_clr(bmap
->ineq
[k
], 1 + total
);
5027 isl_int_set_si(bmap
->ineq
[k
][1 + i
], 1);
5031 isl_basic_map_free(bmap
);
5035 __isl_give isl_basic_set
*isl_basic_set_nat_universe(__isl_take isl_space
*dim
)
5037 return isl_basic_map_nat_universe(dim
);
5040 __isl_give isl_map
*isl_map_nat_universe(__isl_take isl_space
*dim
)
5042 return isl_map_from_basic_map(isl_basic_map_nat_universe(dim
));
5045 __isl_give isl_set
*isl_set_nat_universe(__isl_take isl_space
*dim
)
5047 return isl_map_nat_universe(dim
);
5050 __isl_give isl_basic_map
*isl_basic_map_universe_like(
5051 __isl_keep isl_basic_map
*model
)
5055 return isl_basic_map_alloc_space(isl_space_copy(model
->dim
), 0, 0, 0);
5058 struct isl_basic_set
*isl_basic_set_universe_like(struct isl_basic_set
*model
)
5062 return isl_basic_set_alloc_space(isl_space_copy(model
->dim
), 0, 0, 0);
5065 __isl_give isl_basic_set
*isl_basic_set_universe_like_set(
5066 __isl_keep isl_set
*model
)
5070 return isl_basic_set_alloc_space(isl_space_copy(model
->dim
), 0, 0, 0);
5073 __isl_give isl_map
*isl_map_empty(__isl_take isl_space
*dim
)
5075 return isl_map_alloc_space(dim
, 0, ISL_MAP_DISJOINT
);
5078 struct isl_map
*isl_map_empty_like(struct isl_map
*model
)
5082 return isl_map_alloc_space(isl_space_copy(model
->dim
), 0, ISL_MAP_DISJOINT
);
5085 struct isl_map
*isl_map_empty_like_basic_map(struct isl_basic_map
*model
)
5089 return isl_map_alloc_space(isl_space_copy(model
->dim
), 0, ISL_MAP_DISJOINT
);
5092 __isl_give isl_set
*isl_set_empty(__isl_take isl_space
*dim
)
5094 return isl_set_alloc_space(dim
, 0, ISL_MAP_DISJOINT
);
5097 struct isl_set
*isl_set_empty_like(struct isl_set
*model
)
5101 return isl_set_empty(isl_space_copy(model
->dim
));
5104 __isl_give isl_map
*isl_map_universe(__isl_take isl_space
*dim
)
5106 struct isl_map
*map
;
5109 map
= isl_map_alloc_space(isl_space_copy(dim
), 1, ISL_MAP_DISJOINT
);
5110 map
= isl_map_add_basic_map(map
, isl_basic_map_universe(dim
));
5114 __isl_give isl_set
*isl_set_universe(__isl_take isl_space
*dim
)
5116 struct isl_set
*set
;
5119 set
= isl_set_alloc_space(isl_space_copy(dim
), 1, ISL_MAP_DISJOINT
);
5120 set
= isl_set_add_basic_set(set
, isl_basic_set_universe(dim
));
5124 __isl_give isl_set
*isl_set_universe_like(__isl_keep isl_set
*model
)
5128 return isl_set_universe(isl_space_copy(model
->dim
));
5131 struct isl_map
*isl_map_dup(struct isl_map
*map
)
5134 struct isl_map
*dup
;
5138 dup
= isl_map_alloc_space(isl_space_copy(map
->dim
), map
->n
, map
->flags
);
5139 for (i
= 0; i
< map
->n
; ++i
)
5140 dup
= isl_map_add_basic_map(dup
, isl_basic_map_copy(map
->p
[i
]));
5144 __isl_give isl_map
*isl_map_add_basic_map(__isl_take isl_map
*map
,
5145 __isl_take isl_basic_map
*bmap
)
5149 if (isl_basic_map_plain_is_empty(bmap
)) {
5150 isl_basic_map_free(bmap
);
5153 isl_assert(map
->ctx
, isl_space_is_equal(map
->dim
, bmap
->dim
), goto error
);
5154 isl_assert(map
->ctx
, map
->n
< map
->size
, goto error
);
5155 map
->p
[map
->n
] = bmap
;
5157 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5163 isl_basic_map_free(bmap
);
5167 void *isl_map_free(struct isl_map
*map
)
5177 isl_ctx_deref(map
->ctx
);
5178 for (i
= 0; i
< map
->n
; ++i
)
5179 isl_basic_map_free(map
->p
[i
]);
5180 isl_space_free(map
->dim
);
5186 struct isl_map
*isl_map_extend(struct isl_map
*base
,
5187 unsigned nparam
, unsigned n_in
, unsigned n_out
)
5191 base
= isl_map_cow(base
);
5195 base
->dim
= isl_space_extend(base
->dim
, nparam
, n_in
, n_out
);
5198 for (i
= 0; i
< base
->n
; ++i
) {
5199 base
->p
[i
] = isl_basic_map_extend_space(base
->p
[i
],
5200 isl_space_copy(base
->dim
), 0, 0, 0);
5210 struct isl_set
*isl_set_extend(struct isl_set
*base
,
5211 unsigned nparam
, unsigned dim
)
5213 return (struct isl_set
*)isl_map_extend((struct isl_map
*)base
,
5217 static struct isl_basic_map
*isl_basic_map_fix_pos_si(
5218 struct isl_basic_map
*bmap
, unsigned pos
, int value
)
5222 bmap
= isl_basic_map_cow(bmap
);
5223 bmap
= isl_basic_map_extend_constraints(bmap
, 1, 0);
5224 j
= isl_basic_map_alloc_equality(bmap
);
5227 isl_seq_clr(bmap
->eq
[j
] + 1, isl_basic_map_total_dim(bmap
));
5228 isl_int_set_si(bmap
->eq
[j
][pos
], -1);
5229 isl_int_set_si(bmap
->eq
[j
][0], value
);
5230 bmap
= isl_basic_map_simplify(bmap
);
5231 return isl_basic_map_finalize(bmap
);
5233 isl_basic_map_free(bmap
);
5237 static __isl_give isl_basic_map
*isl_basic_map_fix_pos(
5238 __isl_take isl_basic_map
*bmap
, unsigned pos
, isl_int value
)
5242 bmap
= isl_basic_map_cow(bmap
);
5243 bmap
= isl_basic_map_extend_constraints(bmap
, 1, 0);
5244 j
= isl_basic_map_alloc_equality(bmap
);
5247 isl_seq_clr(bmap
->eq
[j
] + 1, isl_basic_map_total_dim(bmap
));
5248 isl_int_set_si(bmap
->eq
[j
][pos
], -1);
5249 isl_int_set(bmap
->eq
[j
][0], value
);
5250 bmap
= isl_basic_map_simplify(bmap
);
5251 return isl_basic_map_finalize(bmap
);
5253 isl_basic_map_free(bmap
);
5257 struct isl_basic_map
*isl_basic_map_fix_si(struct isl_basic_map
*bmap
,
5258 enum isl_dim_type type
, unsigned pos
, int value
)
5262 isl_assert(bmap
->ctx
, pos
< isl_basic_map_dim(bmap
, type
), goto error
);
5263 return isl_basic_map_fix_pos_si(bmap
,
5264 isl_basic_map_offset(bmap
, type
) + pos
, value
);
5266 isl_basic_map_free(bmap
);
5270 __isl_give isl_basic_map
*isl_basic_map_fix(__isl_take isl_basic_map
*bmap
,
5271 enum isl_dim_type type
, unsigned pos
, isl_int value
)
5275 isl_assert(bmap
->ctx
, pos
< isl_basic_map_dim(bmap
, type
), goto error
);
5276 return isl_basic_map_fix_pos(bmap
,
5277 isl_basic_map_offset(bmap
, type
) + pos
, value
);
5279 isl_basic_map_free(bmap
);
5283 struct isl_basic_set
*isl_basic_set_fix_si(struct isl_basic_set
*bset
,
5284 enum isl_dim_type type
, unsigned pos
, int value
)
5286 return (struct isl_basic_set
*)
5287 isl_basic_map_fix_si((struct isl_basic_map
*)bset
,
5291 __isl_give isl_basic_set
*isl_basic_set_fix(__isl_take isl_basic_set
*bset
,
5292 enum isl_dim_type type
, unsigned pos
, isl_int value
)
5294 return (struct isl_basic_set
*)
5295 isl_basic_map_fix((struct isl_basic_map
*)bset
,
5299 struct isl_basic_map
*isl_basic_map_fix_input_si(struct isl_basic_map
*bmap
,
5300 unsigned input
, int value
)
5302 return isl_basic_map_fix_si(bmap
, isl_dim_in
, input
, value
);
5305 struct isl_basic_set
*isl_basic_set_fix_dim_si(struct isl_basic_set
*bset
,
5306 unsigned dim
, int value
)
5308 return (struct isl_basic_set
*)
5309 isl_basic_map_fix_si((struct isl_basic_map
*)bset
,
5310 isl_dim_set
, dim
, value
);
5313 static int remove_if_empty(__isl_keep isl_map
*map
, int i
)
5315 int empty
= isl_basic_map_plain_is_empty(map
->p
[i
]);
5322 isl_basic_map_free(map
->p
[i
]);
5323 if (i
!= map
->n
- 1) {
5324 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5325 map
->p
[i
] = map
->p
[map
->n
- 1];
5332 struct isl_map
*isl_map_fix_si(struct isl_map
*map
,
5333 enum isl_dim_type type
, unsigned pos
, int value
)
5337 map
= isl_map_cow(map
);
5341 isl_assert(map
->ctx
, pos
< isl_map_dim(map
, type
), goto error
);
5342 for (i
= map
->n
- 1; i
>= 0; --i
) {
5343 map
->p
[i
] = isl_basic_map_fix_si(map
->p
[i
], type
, pos
, value
);
5344 if (remove_if_empty(map
, i
) < 0)
5347 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5354 __isl_give isl_set
*isl_set_fix_si(__isl_take isl_set
*set
,
5355 enum isl_dim_type type
, unsigned pos
, int value
)
5357 return (struct isl_set
*)
5358 isl_map_fix_si((struct isl_map
*)set
, type
, pos
, value
);
5361 __isl_give isl_map
*isl_map_fix(__isl_take isl_map
*map
,
5362 enum isl_dim_type type
, unsigned pos
, isl_int value
)
5366 map
= isl_map_cow(map
);
5370 isl_assert(map
->ctx
, pos
< isl_map_dim(map
, type
), goto error
);
5371 for (i
= 0; i
< map
->n
; ++i
) {
5372 map
->p
[i
] = isl_basic_map_fix(map
->p
[i
], type
, pos
, value
);
5376 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5383 __isl_give isl_set
*isl_set_fix(__isl_take isl_set
*set
,
5384 enum isl_dim_type type
, unsigned pos
, isl_int value
)
5386 return (struct isl_set
*)isl_map_fix((isl_map
*)set
, type
, pos
, value
);
5389 struct isl_map
*isl_map_fix_input_si(struct isl_map
*map
,
5390 unsigned input
, int value
)
5392 return isl_map_fix_si(map
, isl_dim_in
, input
, value
);
5395 struct isl_set
*isl_set_fix_dim_si(struct isl_set
*set
, unsigned dim
, int value
)
5397 return (struct isl_set
*)
5398 isl_map_fix_si((struct isl_map
*)set
, isl_dim_set
, dim
, value
);
5401 static __isl_give isl_basic_map
*basic_map_bound_si(
5402 __isl_take isl_basic_map
*bmap
,
5403 enum isl_dim_type type
, unsigned pos
, int value
, int upper
)
5409 isl_assert(bmap
->ctx
, pos
< isl_basic_map_dim(bmap
, type
), goto error
);
5410 pos
+= isl_basic_map_offset(bmap
, type
);
5411 bmap
= isl_basic_map_cow(bmap
);
5412 bmap
= isl_basic_map_extend_constraints(bmap
, 0, 1);
5413 j
= isl_basic_map_alloc_inequality(bmap
);
5416 isl_seq_clr(bmap
->ineq
[j
], 1 + isl_basic_map_total_dim(bmap
));
5418 isl_int_set_si(bmap
->ineq
[j
][pos
], -1);
5419 isl_int_set_si(bmap
->ineq
[j
][0], value
);
5421 isl_int_set_si(bmap
->ineq
[j
][pos
], 1);
5422 isl_int_set_si(bmap
->ineq
[j
][0], -value
);
5424 bmap
= isl_basic_map_simplify(bmap
);
5425 return isl_basic_map_finalize(bmap
);
5427 isl_basic_map_free(bmap
);
5431 __isl_give isl_basic_map
*isl_basic_map_lower_bound_si(
5432 __isl_take isl_basic_map
*bmap
,
5433 enum isl_dim_type type
, unsigned pos
, int value
)
5435 return basic_map_bound_si(bmap
, type
, pos
, value
, 0);
5438 /* Constrain the values of the given dimension to be no greater than "value".
5440 __isl_give isl_basic_map
*isl_basic_map_upper_bound_si(
5441 __isl_take isl_basic_map
*bmap
,
5442 enum isl_dim_type type
, unsigned pos
, int value
)
5444 return basic_map_bound_si(bmap
, type
, pos
, value
, 1);
5447 struct isl_basic_set
*isl_basic_set_lower_bound_dim(struct isl_basic_set
*bset
,
5448 unsigned dim
, isl_int value
)
5452 bset
= isl_basic_set_cow(bset
);
5453 bset
= isl_basic_set_extend_constraints(bset
, 0, 1);
5454 j
= isl_basic_set_alloc_inequality(bset
);
5457 isl_seq_clr(bset
->ineq
[j
], 1 + isl_basic_set_total_dim(bset
));
5458 isl_int_set_si(bset
->ineq
[j
][1 + isl_basic_set_n_param(bset
) + dim
], 1);
5459 isl_int_neg(bset
->ineq
[j
][0], value
);
5460 bset
= isl_basic_set_simplify(bset
);
5461 return isl_basic_set_finalize(bset
);
5463 isl_basic_set_free(bset
);
5467 static __isl_give isl_map
*map_bound_si(__isl_take isl_map
*map
,
5468 enum isl_dim_type type
, unsigned pos
, int value
, int upper
)
5472 map
= isl_map_cow(map
);
5476 isl_assert(map
->ctx
, pos
< isl_map_dim(map
, type
), goto error
);
5477 for (i
= 0; i
< map
->n
; ++i
) {
5478 map
->p
[i
] = basic_map_bound_si(map
->p
[i
],
5479 type
, pos
, value
, upper
);
5483 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5490 __isl_give isl_map
*isl_map_lower_bound_si(__isl_take isl_map
*map
,
5491 enum isl_dim_type type
, unsigned pos
, int value
)
5493 return map_bound_si(map
, type
, pos
, value
, 0);
5496 __isl_give isl_map
*isl_map_upper_bound_si(__isl_take isl_map
*map
,
5497 enum isl_dim_type type
, unsigned pos
, int value
)
5499 return map_bound_si(map
, type
, pos
, value
, 1);
5502 __isl_give isl_set
*isl_set_lower_bound_si(__isl_take isl_set
*set
,
5503 enum isl_dim_type type
, unsigned pos
, int value
)
5505 return (struct isl_set
*)
5506 isl_map_lower_bound_si((struct isl_map
*)set
, type
, pos
, value
);
5509 __isl_give isl_set
*isl_set_upper_bound_si(__isl_take isl_set
*set
,
5510 enum isl_dim_type type
, unsigned pos
, int value
)
5512 return isl_map_upper_bound_si(set
, type
, pos
, value
);
5515 /* Bound the given variable of "bmap" from below (or above is "upper"
5516 * is set) to "value".
5518 static __isl_give isl_basic_map
*basic_map_bound(
5519 __isl_take isl_basic_map
*bmap
,
5520 enum isl_dim_type type
, unsigned pos
, isl_int value
, int upper
)
5526 if (pos
>= isl_basic_map_dim(bmap
, type
))
5527 isl_die(bmap
->ctx
, isl_error_invalid
,
5528 "index out of bounds", goto error
);
5529 pos
+= isl_basic_map_offset(bmap
, type
);
5530 bmap
= isl_basic_map_cow(bmap
);
5531 bmap
= isl_basic_map_extend_constraints(bmap
, 0, 1);
5532 j
= isl_basic_map_alloc_inequality(bmap
);
5535 isl_seq_clr(bmap
->ineq
[j
], 1 + isl_basic_map_total_dim(bmap
));
5537 isl_int_set_si(bmap
->ineq
[j
][pos
], -1);
5538 isl_int_set(bmap
->ineq
[j
][0], value
);
5540 isl_int_set_si(bmap
->ineq
[j
][pos
], 1);
5541 isl_int_neg(bmap
->ineq
[j
][0], value
);
5543 bmap
= isl_basic_map_simplify(bmap
);
5544 return isl_basic_map_finalize(bmap
);
5546 isl_basic_map_free(bmap
);
5550 /* Bound the given variable of "map" from below (or above is "upper"
5551 * is set) to "value".
5553 static __isl_give isl_map
*map_bound(__isl_take isl_map
*map
,
5554 enum isl_dim_type type
, unsigned pos
, isl_int value
, int upper
)
5558 map
= isl_map_cow(map
);
5562 if (pos
>= isl_map_dim(map
, type
))
5563 isl_die(map
->ctx
, isl_error_invalid
,
5564 "index out of bounds", goto error
);
5565 for (i
= map
->n
- 1; i
>= 0; --i
) {
5566 map
->p
[i
] = basic_map_bound(map
->p
[i
], type
, pos
, value
, upper
);
5567 if (remove_if_empty(map
, i
) < 0)
5570 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5577 __isl_give isl_map
*isl_map_lower_bound(__isl_take isl_map
*map
,
5578 enum isl_dim_type type
, unsigned pos
, isl_int value
)
5580 return map_bound(map
, type
, pos
, value
, 0);
5583 __isl_give isl_map
*isl_map_upper_bound(__isl_take isl_map
*map
,
5584 enum isl_dim_type type
, unsigned pos
, isl_int value
)
5586 return map_bound(map
, type
, pos
, value
, 1);
5589 __isl_give isl_set
*isl_set_lower_bound(__isl_take isl_set
*set
,
5590 enum isl_dim_type type
, unsigned pos
, isl_int value
)
5592 return isl_map_lower_bound(set
, type
, pos
, value
);
5595 __isl_give isl_set
*isl_set_upper_bound(__isl_take isl_set
*set
,
5596 enum isl_dim_type type
, unsigned pos
, isl_int value
)
5598 return isl_map_upper_bound(set
, type
, pos
, value
);
5601 struct isl_set
*isl_set_lower_bound_dim(struct isl_set
*set
, unsigned dim
,
5606 set
= isl_set_cow(set
);
5610 isl_assert(set
->ctx
, dim
< isl_set_n_dim(set
), goto error
);
5611 for (i
= 0; i
< set
->n
; ++i
) {
5612 set
->p
[i
] = isl_basic_set_lower_bound_dim(set
->p
[i
], dim
, value
);
5622 struct isl_map
*isl_map_reverse(struct isl_map
*map
)
5626 map
= isl_map_cow(map
);
5630 map
->dim
= isl_space_reverse(map
->dim
);
5633 for (i
= 0; i
< map
->n
; ++i
) {
5634 map
->p
[i
] = isl_basic_map_reverse(map
->p
[i
]);
5638 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5645 static struct isl_map
*isl_basic_map_partial_lexopt(
5646 struct isl_basic_map
*bmap
, struct isl_basic_set
*dom
,
5647 struct isl_set
**empty
, int max
)
5651 if (bmap
->ctx
->opt
->pip
== ISL_PIP_PIP
)
5652 return isl_pip_basic_map_lexopt(bmap
, dom
, empty
, max
);
5654 return isl_tab_basic_map_partial_lexopt(bmap
, dom
, empty
, max
);
5656 isl_basic_map_free(bmap
);
5657 isl_basic_set_free(dom
);
5663 struct isl_map
*isl_basic_map_partial_lexmax(
5664 struct isl_basic_map
*bmap
, struct isl_basic_set
*dom
,
5665 struct isl_set
**empty
)
5667 return isl_basic_map_partial_lexopt(bmap
, dom
, empty
, 1);
5670 struct isl_map
*isl_basic_map_partial_lexmin(
5671 struct isl_basic_map
*bmap
, struct isl_basic_set
*dom
,
5672 struct isl_set
**empty
)
5674 return isl_basic_map_partial_lexopt(bmap
, dom
, empty
, 0);
5677 struct isl_set
*isl_basic_set_partial_lexmin(
5678 struct isl_basic_set
*bset
, struct isl_basic_set
*dom
,
5679 struct isl_set
**empty
)
5681 return (struct isl_set
*)
5682 isl_basic_map_partial_lexmin((struct isl_basic_map
*)bset
,
5686 struct isl_set
*isl_basic_set_partial_lexmax(
5687 struct isl_basic_set
*bset
, struct isl_basic_set
*dom
,
5688 struct isl_set
**empty
)
5690 return (struct isl_set
*)
5691 isl_basic_map_partial_lexmax((struct isl_basic_map
*)bset
,
5695 __isl_give isl_pw_multi_aff
*isl_basic_map_partial_lexmin_pw_multi_aff(
5696 __isl_take isl_basic_map
*bmap
, __isl_take isl_basic_set
*dom
,
5697 __isl_give isl_set
**empty
)
5699 return isl_basic_map_partial_lexopt_pw_multi_aff(bmap
, dom
, empty
, 0);
5702 __isl_give isl_pw_multi_aff
*isl_basic_map_partial_lexmax_pw_multi_aff(
5703 __isl_take isl_basic_map
*bmap
, __isl_take isl_basic_set
*dom
,
5704 __isl_give isl_set
**empty
)
5706 return isl_basic_map_partial_lexopt_pw_multi_aff(bmap
, dom
, empty
, 1);
5709 __isl_give isl_pw_multi_aff
*isl_basic_set_partial_lexmin_pw_multi_aff(
5710 __isl_take isl_basic_set
*bset
, __isl_take isl_basic_set
*dom
,
5711 __isl_give isl_set
**empty
)
5713 return isl_basic_map_partial_lexmin_pw_multi_aff(bset
, dom
, empty
);
5716 __isl_give isl_pw_multi_aff
*isl_basic_set_partial_lexmax_pw_multi_aff(
5717 __isl_take isl_basic_set
*bset
, __isl_take isl_basic_set
*dom
,
5718 __isl_give isl_set
**empty
)
5720 return isl_basic_map_partial_lexmax_pw_multi_aff(bset
, dom
, empty
);
5723 __isl_give isl_pw_multi_aff
*isl_basic_map_lexopt_pw_multi_aff(
5724 __isl_take isl_basic_map
*bmap
, int max
)
5726 isl_basic_set
*dom
= NULL
;
5727 isl_space
*dom_space
;
5731 dom_space
= isl_space_domain(isl_space_copy(bmap
->dim
));
5732 dom
= isl_basic_set_universe(dom_space
);
5733 return isl_basic_map_partial_lexopt_pw_multi_aff(bmap
, dom
, NULL
, max
);
5735 isl_basic_map_free(bmap
);
5739 __isl_give isl_pw_multi_aff
*isl_basic_map_lexmin_pw_multi_aff(
5740 __isl_take isl_basic_map
*bmap
)
5742 return isl_basic_map_lexopt_pw_multi_aff(bmap
, 0);
5746 #define TYPE isl_pw_multi_aff
5748 #define SUFFIX _pw_multi_aff
5750 #define EMPTY isl_pw_multi_aff_empty
5752 #define ADD isl_pw_multi_aff_union_add
5753 #include "isl_map_lexopt_templ.c"
5755 /* Given a map "map", compute the lexicographically minimal
5756 * (or maximal) image element for each domain element in dom,
5757 * in the form of an isl_pw_multi_aff.
5758 * Set *empty to those elements in dom that do not have an image element.
5760 * We first compute the lexicographically minimal or maximal element
5761 * in the first basic map. This results in a partial solution "res"
5762 * and a subset "todo" of dom that still need to be handled.
5763 * We then consider each of the remaining maps in "map" and successively
5764 * update both "res" and "todo".
5766 static __isl_give isl_pw_multi_aff
*isl_map_partial_lexopt_aligned_pw_multi_aff(
5767 __isl_take isl_map
*map
, __isl_take isl_set
*dom
,
5768 __isl_give isl_set
**empty
, int max
)
5771 isl_pw_multi_aff
*res
;
5777 if (isl_map_plain_is_empty(map
)) {
5782 return isl_pw_multi_aff_from_map(map
);
5785 res
= basic_map_partial_lexopt_pw_multi_aff(
5786 isl_basic_map_copy(map
->p
[0]),
5787 isl_set_copy(dom
), &todo
, max
);
5789 for (i
= 1; i
< map
->n
; ++i
) {
5790 isl_pw_multi_aff
*res_i
;
5793 res_i
= basic_map_partial_lexopt_pw_multi_aff(
5794 isl_basic_map_copy(map
->p
[i
]),
5795 isl_set_copy(dom
), &todo_i
, max
);
5798 res
= isl_pw_multi_aff_union_lexmax(res
, res_i
);
5800 res
= isl_pw_multi_aff_union_lexmin(res
, res_i
);
5802 todo
= isl_set_intersect(todo
, todo_i
);
5823 #define TYPE isl_map
5827 #define EMPTY isl_map_empty
5829 #define ADD isl_map_union_disjoint
5830 #include "isl_map_lexopt_templ.c"
5832 /* Given a map "map", compute the lexicographically minimal
5833 * (or maximal) image element for each domain element in dom.
5834 * Set *empty to those elements in dom that do not have an image element.
5836 * We first compute the lexicographically minimal or maximal element
5837 * in the first basic map. This results in a partial solution "res"
5838 * and a subset "todo" of dom that still need to be handled.
5839 * We then consider each of the remaining maps in "map" and successively
5840 * update both "res" and "todo".
5842 * Let res^k and todo^k be the results after k steps and let i = k + 1.
5843 * Assume we are computing the lexicographical maximum.
5844 * We first compute the lexicographically maximal element in basic map i.
5845 * This results in a partial solution res_i and a subset todo_i.
5846 * Then we combine these results with those obtain for the first k basic maps
5847 * to obtain a result that is valid for the first k+1 basic maps.
5848 * In particular, the set where there is no solution is the set where
5849 * there is no solution for the first k basic maps and also no solution
5850 * for the ith basic map, i.e.,
5852 * todo^i = todo^k * todo_i
5854 * On dom(res^k) * dom(res_i), we need to pick the larger of the two
5855 * solutions, arbitrarily breaking ties in favor of res^k.
5856 * That is, when res^k(a) >= res_i(a), we pick res^k and
5857 * when res^k(a) < res_i(a), we pick res_i. (Here, ">=" and "<" denote
5858 * the lexicographic order.)
5859 * In practice, we compute
5861 * res^k * (res_i . "<=")
5865 * res_i * (res^k . "<")
5867 * Finally, we consider the symmetric difference of dom(res^k) and dom(res_i),
5868 * where only one of res^k and res_i provides a solution and we simply pick
5875 * Note that we only compute these intersections when dom(res^k) intersects
5876 * dom(res_i). Otherwise, the only effect of these intersections is to
5877 * potentially break up res^k and res_i into smaller pieces.
5878 * We want to avoid such splintering as much as possible.
5879 * In fact, an earlier implementation of this function would look for
5880 * better results in the domain of res^k and for extra results in todo^k,
5881 * but this would always result in a splintering according to todo^k,
5882 * even when the domain of basic map i is disjoint from the domains of
5883 * the previous basic maps.
5885 static __isl_give isl_map
*isl_map_partial_lexopt_aligned(
5886 __isl_take isl_map
*map
, __isl_take isl_set
*dom
,
5887 __isl_give isl_set
**empty
, int max
)
5890 struct isl_map
*res
;
5891 struct isl_set
*todo
;
5896 if (isl_map_plain_is_empty(map
)) {
5904 res
= basic_map_partial_lexopt(isl_basic_map_copy(map
->p
[0]),
5905 isl_set_copy(dom
), &todo
, max
);
5907 for (i
= 1; i
< map
->n
; ++i
) {
5911 isl_space
*dim
= isl_space_range(isl_map_get_space(res
));
5913 res_i
= basic_map_partial_lexopt(isl_basic_map_copy(map
->p
[i
]),
5914 isl_set_copy(dom
), &todo_i
, max
);
5917 lt
= isl_map_lex_lt(isl_space_copy(dim
));
5918 le
= isl_map_lex_le(dim
);
5920 lt
= isl_map_lex_gt(isl_space_copy(dim
));
5921 le
= isl_map_lex_ge(dim
);
5923 lt
= isl_map_apply_range(isl_map_copy(res
), lt
);
5924 lt
= isl_map_intersect(lt
, isl_map_copy(res_i
));
5925 le
= isl_map_apply_range(isl_map_copy(res_i
), le
);
5926 le
= isl_map_intersect(le
, isl_map_copy(res
));
5928 if (!isl_map_is_empty(lt
) || !isl_map_is_empty(le
)) {
5929 res
= isl_map_intersect_domain(res
,
5930 isl_set_copy(todo_i
));
5931 res_i
= isl_map_intersect_domain(res_i
,
5932 isl_set_copy(todo
));
5935 res
= isl_map_union_disjoint(res
, res_i
);
5936 res
= isl_map_union_disjoint(res
, lt
);
5937 res
= isl_map_union_disjoint(res
, le
);
5939 todo
= isl_set_intersect(todo
, todo_i
);
5959 __isl_give isl_map
*isl_map_partial_lexmax(
5960 __isl_take isl_map
*map
, __isl_take isl_set
*dom
,
5961 __isl_give isl_set
**empty
)
5963 return isl_map_partial_lexopt(map
, dom
, empty
, 1);
5966 __isl_give isl_map
*isl_map_partial_lexmin(
5967 __isl_take isl_map
*map
, __isl_take isl_set
*dom
,
5968 __isl_give isl_set
**empty
)
5970 return isl_map_partial_lexopt(map
, dom
, empty
, 0);
5973 __isl_give isl_set
*isl_set_partial_lexmin(
5974 __isl_take isl_set
*set
, __isl_take isl_set
*dom
,
5975 __isl_give isl_set
**empty
)
5977 return (struct isl_set
*)
5978 isl_map_partial_lexmin((struct isl_map
*)set
,
5982 __isl_give isl_set
*isl_set_partial_lexmax(
5983 __isl_take isl_set
*set
, __isl_take isl_set
*dom
,
5984 __isl_give isl_set
**empty
)
5986 return (struct isl_set
*)
5987 isl_map_partial_lexmax((struct isl_map
*)set
,
5991 __isl_give isl_map
*isl_basic_map_lexopt(__isl_take isl_basic_map
*bmap
, int max
)
5993 struct isl_basic_set
*dom
= NULL
;
5998 dom_dim
= isl_space_domain(isl_space_copy(bmap
->dim
));
5999 dom
= isl_basic_set_universe(dom_dim
);
6000 return isl_basic_map_partial_lexopt(bmap
, dom
, NULL
, max
);
6002 isl_basic_map_free(bmap
);
6006 __isl_give isl_map
*isl_basic_map_lexmin(__isl_take isl_basic_map
*bmap
)
6008 return isl_basic_map_lexopt(bmap
, 0);
6011 __isl_give isl_map
*isl_basic_map_lexmax(__isl_take isl_basic_map
*bmap
)
6013 return isl_basic_map_lexopt(bmap
, 1);
6016 __isl_give isl_set
*isl_basic_set_lexmin(__isl_take isl_basic_set
*bset
)
6018 return (isl_set
*)isl_basic_map_lexmin((isl_basic_map
*)bset
);
6021 __isl_give isl_set
*isl_basic_set_lexmax(__isl_take isl_basic_set
*bset
)
6023 return (isl_set
*)isl_basic_map_lexmax((isl_basic_map
*)bset
);
6026 __isl_give isl_set
*isl_set_lexmin(__isl_take isl_set
*set
)
6028 return (isl_set
*)isl_map_lexmin((isl_map
*)set
);
6031 __isl_give isl_set
*isl_set_lexmax(__isl_take isl_set
*set
)
6033 return (isl_set
*)isl_map_lexmax((isl_map
*)set
);
6036 /* Extract the first and only affine expression from list
6037 * and then add it to *pwaff with the given dom.
6038 * This domain is known to be disjoint from other domains
6039 * because of the way isl_basic_map_foreach_lexmax works.
6041 static int update_dim_opt(__isl_take isl_basic_set
*dom
,
6042 __isl_take isl_aff_list
*list
, void *user
)
6044 isl_ctx
*ctx
= isl_basic_set_get_ctx(dom
);
6046 isl_pw_aff
**pwaff
= user
;
6047 isl_pw_aff
*pwaff_i
;
6051 if (isl_aff_list_n_aff(list
) != 1)
6052 isl_die(ctx
, isl_error_internal
,
6053 "expecting single element list", goto error
);
6055 aff
= isl_aff_list_get_aff(list
, 0);
6056 pwaff_i
= isl_pw_aff_alloc(isl_set_from_basic_set(dom
), aff
);
6058 *pwaff
= isl_pw_aff_add_disjoint(*pwaff
, pwaff_i
);
6060 isl_aff_list_free(list
);
6064 isl_basic_set_free(dom
);
6065 isl_aff_list_free(list
);
6069 /* Given a basic map with one output dimension, compute the minimum or
6070 * maximum of that dimension as an isl_pw_aff.
6072 * The isl_pw_aff is constructed by having isl_basic_map_foreach_lexopt
6073 * call update_dim_opt on each leaf of the result.
6075 static __isl_give isl_pw_aff
*basic_map_dim_opt(__isl_keep isl_basic_map
*bmap
,
6078 isl_space
*dim
= isl_basic_map_get_space(bmap
);
6082 dim
= isl_space_from_domain(isl_space_domain(dim
));
6083 dim
= isl_space_add_dims(dim
, isl_dim_out
, 1);
6084 pwaff
= isl_pw_aff_empty(dim
);
6086 r
= isl_basic_map_foreach_lexopt(bmap
, max
, &update_dim_opt
, &pwaff
);
6088 return isl_pw_aff_free(pwaff
);
6093 /* Compute the minimum or maximum of the given output dimension
6094 * as a function of the parameters and the input dimensions,
6095 * but independently of the other output dimensions.
6097 * We first project out the other output dimension and then compute
6098 * the "lexicographic" maximum in each basic map, combining the results
6099 * using isl_pw_aff_union_max.
6101 static __isl_give isl_pw_aff
*map_dim_opt(__isl_take isl_map
*map
, int pos
,
6108 n_out
= isl_map_dim(map
, isl_dim_out
);
6109 map
= isl_map_project_out(map
, isl_dim_out
, pos
+ 1, n_out
- (pos
+ 1));
6110 map
= isl_map_project_out(map
, isl_dim_out
, 0, pos
);
6115 isl_space
*dim
= isl_map_get_space(map
);
6116 dim
= isl_space_domain(isl_space_from_range(dim
));
6118 return isl_pw_aff_empty(dim
);
6121 pwaff
= basic_map_dim_opt(map
->p
[0], max
);
6122 for (i
= 1; i
< map
->n
; ++i
) {
6123 isl_pw_aff
*pwaff_i
;
6125 pwaff_i
= basic_map_dim_opt(map
->p
[i
], max
);
6126 pwaff
= isl_pw_aff_union_opt(pwaff
, pwaff_i
, max
);
6134 /* Compute the maximum of the given output dimension as a function of the
6135 * parameters and input dimensions, but independently of
6136 * the other output dimensions.
6138 __isl_give isl_pw_aff
*isl_map_dim_max(__isl_take isl_map
*map
, int pos
)
6140 return map_dim_opt(map
, pos
, 1);
6143 /* Compute the minimum or maximum of the given set dimension
6144 * as a function of the parameters,
6145 * but independently of the other set dimensions.
6147 static __isl_give isl_pw_aff
*set_dim_opt(__isl_take isl_set
*set
, int pos
,
6150 return map_dim_opt(set
, pos
, max
);
6153 /* Compute the maximum of the given set dimension as a function of the
6154 * parameters, but independently of the other set dimensions.
6156 __isl_give isl_pw_aff
*isl_set_dim_max(__isl_take isl_set
*set
, int pos
)
6158 return set_dim_opt(set
, pos
, 1);
6161 /* Compute the minimum of the given set dimension as a function of the
6162 * parameters, but independently of the other set dimensions.
6164 __isl_give isl_pw_aff
*isl_set_dim_min(__isl_take isl_set
*set
, int pos
)
6166 return set_dim_opt(set
, pos
, 0);
6169 /* Apply a preimage specified by "mat" on the parameters of "bset".
6170 * bset is assumed to have only parameters and divs.
6172 static struct isl_basic_set
*basic_set_parameter_preimage(
6173 struct isl_basic_set
*bset
, struct isl_mat
*mat
)
6180 bset
->dim
= isl_space_cow(bset
->dim
);
6184 nparam
= isl_basic_set_dim(bset
, isl_dim_param
);
6186 isl_assert(bset
->ctx
, mat
->n_row
== 1 + nparam
, goto error
);
6188 bset
->dim
->nparam
= 0;
6189 bset
->dim
->n_out
= nparam
;
6190 bset
= isl_basic_set_preimage(bset
, mat
);
6192 bset
->dim
->nparam
= bset
->dim
->n_out
;
6193 bset
->dim
->n_out
= 0;
6198 isl_basic_set_free(bset
);
6202 /* Apply a preimage specified by "mat" on the parameters of "set".
6203 * set is assumed to have only parameters and divs.
6205 static struct isl_set
*set_parameter_preimage(
6206 struct isl_set
*set
, struct isl_mat
*mat
)
6208 isl_space
*dim
= NULL
;
6214 dim
= isl_space_copy(set
->dim
);
6215 dim
= isl_space_cow(dim
);
6219 nparam
= isl_set_dim(set
, isl_dim_param
);
6221 isl_assert(set
->ctx
, mat
->n_row
== 1 + nparam
, goto error
);
6224 dim
->n_out
= nparam
;
6225 isl_set_reset_space(set
, dim
);
6226 set
= isl_set_preimage(set
, mat
);
6229 dim
= isl_space_copy(set
->dim
);
6230 dim
= isl_space_cow(dim
);
6233 dim
->nparam
= dim
->n_out
;
6235 isl_set_reset_space(set
, dim
);
6238 isl_space_free(dim
);
6245 /* Intersect the basic set "bset" with the affine space specified by the
6246 * equalities in "eq".
6248 static struct isl_basic_set
*basic_set_append_equalities(
6249 struct isl_basic_set
*bset
, struct isl_mat
*eq
)
6257 bset
= isl_basic_set_extend_space(bset
, isl_space_copy(bset
->dim
), 0,
6262 len
= 1 + isl_space_dim(bset
->dim
, isl_dim_all
) + bset
->extra
;
6263 for (i
= 0; i
< eq
->n_row
; ++i
) {
6264 k
= isl_basic_set_alloc_equality(bset
);
6267 isl_seq_cpy(bset
->eq
[k
], eq
->row
[i
], eq
->n_col
);
6268 isl_seq_clr(bset
->eq
[k
] + eq
->n_col
, len
- eq
->n_col
);
6272 bset
= isl_basic_set_gauss(bset
, NULL
);
6273 bset
= isl_basic_set_finalize(bset
);
6278 isl_basic_set_free(bset
);
6282 /* Intersect the set "set" with the affine space specified by the
6283 * equalities in "eq".
6285 static struct isl_set
*set_append_equalities(struct isl_set
*set
,
6293 for (i
= 0; i
< set
->n
; ++i
) {
6294 set
->p
[i
] = basic_set_append_equalities(set
->p
[i
],
6307 /* Project the given basic set onto its parameter domain, possibly introducing
6308 * new, explicit, existential variables in the constraints.
6309 * The input has parameters and (possibly implicit) existential variables.
6310 * The output has the same parameters, but only
6311 * explicit existentially quantified variables.
6313 * The actual projection is performed by pip, but pip doesn't seem
6314 * to like equalities very much, so we first remove the equalities
6315 * among the parameters by performing a variable compression on
6316 * the parameters. Afterward, an inverse transformation is performed
6317 * and the equalities among the parameters are inserted back in.
6319 static struct isl_set
*parameter_compute_divs(struct isl_basic_set
*bset
)
6323 struct isl_mat
*T
, *T2
;
6324 struct isl_set
*set
;
6325 unsigned nparam
, n_div
;
6327 bset
= isl_basic_set_cow(bset
);
6331 if (bset
->n_eq
== 0)
6332 return isl_basic_set_lexmin(bset
);
6334 isl_basic_set_gauss(bset
, NULL
);
6336 nparam
= isl_basic_set_dim(bset
, isl_dim_param
);
6337 n_div
= isl_basic_set_dim(bset
, isl_dim_div
);
6339 for (i
= 0, j
= n_div
- 1; i
< bset
->n_eq
&& j
>= 0; --j
) {
6340 if (!isl_int_is_zero(bset
->eq
[i
][1 + nparam
+ j
]))
6343 if (i
== bset
->n_eq
)
6344 return isl_basic_set_lexmin(bset
);
6346 eq
= isl_mat_sub_alloc6(bset
->ctx
, bset
->eq
, i
, bset
->n_eq
- i
,
6348 eq
= isl_mat_cow(eq
);
6349 T
= isl_mat_variable_compression(isl_mat_copy(eq
), &T2
);
6350 if (T
&& T
->n_col
== 0) {
6354 bset
= isl_basic_set_set_to_empty(bset
);
6355 return isl_set_from_basic_set(bset
);
6357 bset
= basic_set_parameter_preimage(bset
, T
);
6359 set
= isl_basic_set_lexmin(bset
);
6360 set
= set_parameter_preimage(set
, T2
);
6361 set
= set_append_equalities(set
, eq
);
6365 /* Compute an explicit representation for all the existentially
6366 * quantified variables.
6367 * The input and output dimensions are first turned into parameters.
6368 * compute_divs then returns a map with the same parameters and
6369 * no input or output dimensions and the dimension specification
6370 * is reset to that of the input.
6372 static struct isl_map
*compute_divs(struct isl_basic_map
*bmap
)
6374 struct isl_basic_set
*bset
;
6375 struct isl_set
*set
;
6376 struct isl_map
*map
;
6377 isl_space
*dim
, *orig_dim
= NULL
;
6382 bmap
= isl_basic_map_cow(bmap
);
6386 nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
6387 n_in
= isl_basic_map_dim(bmap
, isl_dim_in
);
6388 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
6389 dim
= isl_space_set_alloc(bmap
->ctx
, nparam
+ n_in
+ n_out
, 0);
6393 orig_dim
= bmap
->dim
;
6395 bset
= (struct isl_basic_set
*)bmap
;
6397 set
= parameter_compute_divs(bset
);
6398 map
= (struct isl_map
*)set
;
6399 map
= isl_map_reset_space(map
, orig_dim
);
6403 isl_basic_map_free(bmap
);
6407 int isl_basic_map_divs_known(__isl_keep isl_basic_map
*bmap
)
6415 off
= isl_space_dim(bmap
->dim
, isl_dim_all
);
6416 for (i
= 0; i
< bmap
->n_div
; ++i
) {
6417 if (isl_int_is_zero(bmap
->div
[i
][0]))
6419 isl_assert(bmap
->ctx
, isl_int_is_zero(bmap
->div
[i
][1+1+off
+i
]),
6425 static int map_divs_known(__isl_keep isl_map
*map
)
6432 for (i
= 0; i
< map
->n
; ++i
) {
6433 int known
= isl_basic_map_divs_known(map
->p
[i
]);
6441 /* If bmap contains any unknown divs, then compute explicit
6442 * expressions for them. However, this computation may be
6443 * quite expensive, so first try to remove divs that aren't
6446 struct isl_map
*isl_basic_map_compute_divs(struct isl_basic_map
*bmap
)
6449 struct isl_map
*map
;
6451 known
= isl_basic_map_divs_known(bmap
);
6455 return isl_map_from_basic_map(bmap
);
6457 bmap
= isl_basic_map_drop_redundant_divs(bmap
);
6459 known
= isl_basic_map_divs_known(bmap
);
6463 return isl_map_from_basic_map(bmap
);
6465 map
= compute_divs(bmap
);
6468 isl_basic_map_free(bmap
);
6472 struct isl_map
*isl_map_compute_divs(struct isl_map
*map
)
6476 struct isl_map
*res
;
6483 known
= map_divs_known(map
);
6491 res
= isl_basic_map_compute_divs(isl_basic_map_copy(map
->p
[0]));
6492 for (i
= 1 ; i
< map
->n
; ++i
) {
6494 r2
= isl_basic_map_compute_divs(isl_basic_map_copy(map
->p
[i
]));
6495 if (ISL_F_ISSET(map
, ISL_MAP_DISJOINT
))
6496 res
= isl_map_union_disjoint(res
, r2
);
6498 res
= isl_map_union(res
, r2
);
6505 struct isl_set
*isl_basic_set_compute_divs(struct isl_basic_set
*bset
)
6507 return (struct isl_set
*)
6508 isl_basic_map_compute_divs((struct isl_basic_map
*)bset
);
6511 struct isl_set
*isl_set_compute_divs(struct isl_set
*set
)
6513 return (struct isl_set
*)
6514 isl_map_compute_divs((struct isl_map
*)set
);
6517 struct isl_set
*isl_map_domain(struct isl_map
*map
)
6520 struct isl_set
*set
;
6525 map
= isl_map_cow(map
);
6529 set
= (struct isl_set
*)map
;
6530 set
->dim
= isl_space_domain(set
->dim
);
6533 for (i
= 0; i
< map
->n
; ++i
) {
6534 set
->p
[i
] = isl_basic_map_domain(map
->p
[i
]);
6538 ISL_F_CLR(set
, ISL_MAP_DISJOINT
);
6539 ISL_F_CLR(set
, ISL_SET_NORMALIZED
);
6546 /* Return the union of "map1" and "map2", where we assume for now that
6547 * "map1" and "map2" are disjoint. Note that the basic maps inside
6548 * "map1" or "map2" may not be disjoint from each other.
6549 * Also note that this function is also called from isl_map_union,
6550 * which takes care of handling the situation where "map1" and "map2"
6551 * may not be disjoint.
6553 * If one of the inputs is empty, we can simply return the other input.
6554 * Similarly, if one of the inputs is universal, then it is equal to the union.
6556 static __isl_give isl_map
*map_union_disjoint(__isl_take isl_map
*map1
,
6557 __isl_take isl_map
*map2
)
6561 struct isl_map
*map
= NULL
;
6576 is_universe
= isl_map_plain_is_universe(map1
);
6577 if (is_universe
< 0)
6584 is_universe
= isl_map_plain_is_universe(map2
);
6585 if (is_universe
< 0)
6592 isl_assert(map1
->ctx
, isl_space_is_equal(map1
->dim
, map2
->dim
), goto error
);
6594 if (ISL_F_ISSET(map1
, ISL_MAP_DISJOINT
) &&
6595 ISL_F_ISSET(map2
, ISL_MAP_DISJOINT
))
6596 ISL_FL_SET(flags
, ISL_MAP_DISJOINT
);
6598 map
= isl_map_alloc_space(isl_space_copy(map1
->dim
),
6599 map1
->n
+ map2
->n
, flags
);
6602 for (i
= 0; i
< map1
->n
; ++i
) {
6603 map
= isl_map_add_basic_map(map
,
6604 isl_basic_map_copy(map1
->p
[i
]));
6608 for (i
= 0; i
< map2
->n
; ++i
) {
6609 map
= isl_map_add_basic_map(map
,
6610 isl_basic_map_copy(map2
->p
[i
]));
6624 __isl_give isl_map
*isl_map_union_disjoint(__isl_take isl_map
*map1
,
6625 __isl_take isl_map
*map2
)
6627 return isl_map_align_params_map_map_and(map1
, map2
, &map_union_disjoint
);
6630 struct isl_map
*isl_map_union(struct isl_map
*map1
, struct isl_map
*map2
)
6632 map1
= isl_map_union_disjoint(map1
, map2
);
6636 ISL_F_CLR(map1
, ISL_MAP_DISJOINT
);
6640 struct isl_set
*isl_set_union_disjoint(
6641 struct isl_set
*set1
, struct isl_set
*set2
)
6643 return (struct isl_set
*)
6644 isl_map_union_disjoint(
6645 (struct isl_map
*)set1
, (struct isl_map
*)set2
);
6648 struct isl_set
*isl_set_union(struct isl_set
*set1
, struct isl_set
*set2
)
6650 return (struct isl_set
*)
6651 isl_map_union((struct isl_map
*)set1
, (struct isl_map
*)set2
);
6654 /* Apply "fn" to pairs of elements from "map" and "set" and collect
6657 * "map" and "set" are assumed to be compatible and non-NULL.
6659 static __isl_give isl_map
*map_intersect_set(__isl_take isl_map
*map
,
6660 __isl_take isl_set
*set
,
6661 __isl_give isl_basic_map
*fn(__isl_take isl_basic_map
*bmap
,
6662 __isl_take isl_basic_set
*bset
))
6665 struct isl_map
*result
;
6668 if (isl_set_plain_is_universe(set
)) {
6673 if (ISL_F_ISSET(map
, ISL_MAP_DISJOINT
) &&
6674 ISL_F_ISSET(set
, ISL_MAP_DISJOINT
))
6675 ISL_FL_SET(flags
, ISL_MAP_DISJOINT
);
6677 result
= isl_map_alloc_space(isl_space_copy(map
->dim
),
6678 map
->n
* set
->n
, flags
);
6679 for (i
= 0; result
&& i
< map
->n
; ++i
)
6680 for (j
= 0; j
< set
->n
; ++j
) {
6681 result
= isl_map_add_basic_map(result
,
6682 fn(isl_basic_map_copy(map
->p
[i
]),
6683 isl_basic_set_copy(set
->p
[j
])));
6693 static __isl_give isl_map
*map_intersect_range(__isl_take isl_map
*map
,
6694 __isl_take isl_set
*set
)
6699 if (!isl_map_compatible_range(map
, set
))
6700 isl_die(set
->ctx
, isl_error_invalid
,
6701 "incompatible spaces", goto error
);
6703 return map_intersect_set(map
, set
, &isl_basic_map_intersect_range
);
6710 __isl_give isl_map
*isl_map_intersect_range(__isl_take isl_map
*map
,
6711 __isl_take isl_set
*set
)
6713 return isl_map_align_params_map_map_and(map
, set
, &map_intersect_range
);
6716 static __isl_give isl_map
*map_intersect_domain(__isl_take isl_map
*map
,
6717 __isl_take isl_set
*set
)
6722 if (!isl_map_compatible_domain(map
, set
))
6723 isl_die(set
->ctx
, isl_error_invalid
,
6724 "incompatible spaces", goto error
);
6726 return map_intersect_set(map
, set
, &isl_basic_map_intersect_domain
);
6733 __isl_give isl_map
*isl_map_intersect_domain(__isl_take isl_map
*map
,
6734 __isl_take isl_set
*set
)
6736 return isl_map_align_params_map_map_and(map
, set
,
6737 &map_intersect_domain
);
6740 static __isl_give isl_map
*map_apply_domain(__isl_take isl_map
*map1
,
6741 __isl_take isl_map
*map2
)
6745 map1
= isl_map_reverse(map1
);
6746 map1
= isl_map_apply_range(map1
, map2
);
6747 return isl_map_reverse(map1
);
6754 __isl_give isl_map
*isl_map_apply_domain(__isl_take isl_map
*map1
,
6755 __isl_take isl_map
*map2
)
6757 return isl_map_align_params_map_map_and(map1
, map2
, &map_apply_domain
);
6760 static __isl_give isl_map
*map_apply_range(__isl_take isl_map
*map1
,
6761 __isl_take isl_map
*map2
)
6763 isl_space
*dim_result
;
6764 struct isl_map
*result
;
6770 dim_result
= isl_space_join(isl_space_copy(map1
->dim
),
6771 isl_space_copy(map2
->dim
));
6773 result
= isl_map_alloc_space(dim_result
, map1
->n
* map2
->n
, 0);
6776 for (i
= 0; i
< map1
->n
; ++i
)
6777 for (j
= 0; j
< map2
->n
; ++j
) {
6778 result
= isl_map_add_basic_map(result
,
6779 isl_basic_map_apply_range(
6780 isl_basic_map_copy(map1
->p
[i
]),
6781 isl_basic_map_copy(map2
->p
[j
])));
6787 if (result
&& result
->n
<= 1)
6788 ISL_F_SET(result
, ISL_MAP_DISJOINT
);
6796 __isl_give isl_map
*isl_map_apply_range(__isl_take isl_map
*map1
,
6797 __isl_take isl_map
*map2
)
6799 return isl_map_align_params_map_map_and(map1
, map2
, &map_apply_range
);
6803 * returns range - domain
6805 struct isl_basic_set
*isl_basic_map_deltas(struct isl_basic_map
*bmap
)
6807 isl_space
*dims
, *target_dim
;
6808 struct isl_basic_set
*bset
;
6815 isl_assert(bmap
->ctx
, isl_space_tuple_match(bmap
->dim
, isl_dim_in
,
6816 bmap
->dim
, isl_dim_out
),
6818 target_dim
= isl_space_domain(isl_basic_map_get_space(bmap
));
6819 dim
= isl_basic_map_n_in(bmap
);
6820 nparam
= isl_basic_map_n_param(bmap
);
6821 bset
= isl_basic_set_from_basic_map(bmap
);
6822 bset
= isl_basic_set_cow(bset
);
6823 dims
= isl_basic_set_get_space(bset
);
6824 dims
= isl_space_add_dims(dims
, isl_dim_set
, dim
);
6825 bset
= isl_basic_set_extend_space(bset
, dims
, 0, dim
, 0);
6826 bset
= isl_basic_set_swap_vars(bset
, 2*dim
);
6827 for (i
= 0; i
< dim
; ++i
) {
6828 int j
= isl_basic_map_alloc_equality(
6829 (struct isl_basic_map
*)bset
);
6832 isl_seq_clr(bset
->eq
[j
], 1 + isl_basic_set_total_dim(bset
));
6833 isl_int_set_si(bset
->eq
[j
][1+nparam
+i
], 1);
6834 isl_int_set_si(bset
->eq
[j
][1+nparam
+dim
+i
], 1);
6835 isl_int_set_si(bset
->eq
[j
][1+nparam
+2*dim
+i
], -1);
6837 bset
= isl_basic_set_project_out(bset
, isl_dim_set
, dim
, 2*dim
);
6838 bset
= isl_basic_set_reset_space(bset
, target_dim
);
6841 isl_basic_map_free(bmap
);
6846 * returns range - domain
6848 __isl_give isl_set
*isl_map_deltas(__isl_take isl_map
*map
)
6852 struct isl_set
*result
;
6857 isl_assert(map
->ctx
, isl_space_tuple_match(map
->dim
, isl_dim_in
,
6858 map
->dim
, isl_dim_out
),
6860 dim
= isl_map_get_space(map
);
6861 dim
= isl_space_domain(dim
);
6862 result
= isl_set_alloc_space(dim
, map
->n
, 0);
6865 for (i
= 0; i
< map
->n
; ++i
)
6866 result
= isl_set_add_basic_set(result
,
6867 isl_basic_map_deltas(isl_basic_map_copy(map
->p
[i
])));
6876 * returns [domain -> range] -> range - domain
6878 __isl_give isl_basic_map
*isl_basic_map_deltas_map(
6879 __isl_take isl_basic_map
*bmap
)
6883 isl_basic_map
*domain
;
6887 if (!isl_space_tuple_match(bmap
->dim
, isl_dim_in
, bmap
->dim
, isl_dim_out
))
6888 isl_die(bmap
->ctx
, isl_error_invalid
,
6889 "domain and range don't match", goto error
);
6891 nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
6892 n
= isl_basic_map_dim(bmap
, isl_dim_in
);
6894 dim
= isl_space_from_range(isl_space_domain(isl_basic_map_get_space(bmap
)));
6895 domain
= isl_basic_map_universe(dim
);
6897 bmap
= isl_basic_map_from_domain(isl_basic_map_wrap(bmap
));
6898 bmap
= isl_basic_map_apply_range(bmap
, domain
);
6899 bmap
= isl_basic_map_extend_constraints(bmap
, n
, 0);
6901 total
= isl_basic_map_total_dim(bmap
);
6903 for (i
= 0; i
< n
; ++i
) {
6904 k
= isl_basic_map_alloc_equality(bmap
);
6907 isl_seq_clr(bmap
->eq
[k
], 1 + total
);
6908 isl_int_set_si(bmap
->eq
[k
][1 + nparam
+ i
], 1);
6909 isl_int_set_si(bmap
->eq
[k
][1 + nparam
+ n
+ i
], -1);
6910 isl_int_set_si(bmap
->eq
[k
][1 + nparam
+ n
+ n
+ i
], 1);
6913 bmap
= isl_basic_map_gauss(bmap
, NULL
);
6914 return isl_basic_map_finalize(bmap
);
6916 isl_basic_map_free(bmap
);
6921 * returns [domain -> range] -> range - domain
6923 __isl_give isl_map
*isl_map_deltas_map(__isl_take isl_map
*map
)
6926 isl_space
*domain_dim
;
6931 if (!isl_space_tuple_match(map
->dim
, isl_dim_in
, map
->dim
, isl_dim_out
))
6932 isl_die(map
->ctx
, isl_error_invalid
,
6933 "domain and range don't match", goto error
);
6935 map
= isl_map_cow(map
);
6939 domain_dim
= isl_space_from_range(isl_space_domain(isl_map_get_space(map
)));
6940 map
->dim
= isl_space_from_domain(isl_space_wrap(map
->dim
));
6941 map
->dim
= isl_space_join(map
->dim
, domain_dim
);
6944 for (i
= 0; i
< map
->n
; ++i
) {
6945 map
->p
[i
] = isl_basic_map_deltas_map(map
->p
[i
]);
6949 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
6956 static __isl_give isl_basic_map
*basic_map_identity(__isl_take isl_space
*dims
)
6958 struct isl_basic_map
*bmap
;
6966 nparam
= dims
->nparam
;
6968 bmap
= isl_basic_map_alloc_space(dims
, 0, dim
, 0);
6972 for (i
= 0; i
< dim
; ++i
) {
6973 int j
= isl_basic_map_alloc_equality(bmap
);
6976 isl_seq_clr(bmap
->eq
[j
], 1 + isl_basic_map_total_dim(bmap
));
6977 isl_int_set_si(bmap
->eq
[j
][1+nparam
+i
], 1);
6978 isl_int_set_si(bmap
->eq
[j
][1+nparam
+dim
+i
], -1);
6980 return isl_basic_map_finalize(bmap
);
6982 isl_basic_map_free(bmap
);
6986 __isl_give isl_basic_map
*isl_basic_map_identity(__isl_take isl_space
*dim
)
6990 if (dim
->n_in
!= dim
->n_out
)
6991 isl_die(dim
->ctx
, isl_error_invalid
,
6992 "number of input and output dimensions needs to be "
6993 "the same", goto error
);
6994 return basic_map_identity(dim
);
6996 isl_space_free(dim
);
7000 struct isl_basic_map
*isl_basic_map_identity_like(struct isl_basic_map
*model
)
7002 if (!model
|| !model
->dim
)
7004 return isl_basic_map_identity(isl_space_copy(model
->dim
));
7007 __isl_give isl_map
*isl_map_identity(__isl_take isl_space
*dim
)
7009 return isl_map_from_basic_map(isl_basic_map_identity(dim
));
7012 struct isl_map
*isl_map_identity_like(struct isl_map
*model
)
7014 if (!model
|| !model
->dim
)
7016 return isl_map_identity(isl_space_copy(model
->dim
));
7019 struct isl_map
*isl_map_identity_like_basic_map(struct isl_basic_map
*model
)
7021 if (!model
|| !model
->dim
)
7023 return isl_map_identity(isl_space_copy(model
->dim
));
7026 __isl_give isl_map
*isl_set_identity(__isl_take isl_set
*set
)
7028 isl_space
*dim
= isl_set_get_space(set
);
7030 id
= isl_map_identity(isl_space_map_from_set(dim
));
7031 return isl_map_intersect_range(id
, set
);
7034 /* Construct a basic set with all set dimensions having only non-negative
7037 __isl_give isl_basic_set
*isl_basic_set_positive_orthant(
7038 __isl_take isl_space
*space
)
7043 struct isl_basic_set
*bset
;
7047 nparam
= space
->nparam
;
7049 bset
= isl_basic_set_alloc_space(space
, 0, 0, dim
);
7052 for (i
= 0; i
< dim
; ++i
) {
7053 int k
= isl_basic_set_alloc_inequality(bset
);
7056 isl_seq_clr(bset
->ineq
[k
], 1 + isl_basic_set_total_dim(bset
));
7057 isl_int_set_si(bset
->ineq
[k
][1 + nparam
+ i
], 1);
7061 isl_basic_set_free(bset
);
7065 /* Construct the half-space x_pos >= 0.
7067 static __isl_give isl_basic_set
*nonneg_halfspace(__isl_take isl_space
*dim
,
7071 isl_basic_set
*nonneg
;
7073 nonneg
= isl_basic_set_alloc_space(dim
, 0, 0, 1);
7074 k
= isl_basic_set_alloc_inequality(nonneg
);
7077 isl_seq_clr(nonneg
->ineq
[k
], 1 + isl_basic_set_total_dim(nonneg
));
7078 isl_int_set_si(nonneg
->ineq
[k
][pos
], 1);
7080 return isl_basic_set_finalize(nonneg
);
7082 isl_basic_set_free(nonneg
);
7086 /* Construct the half-space x_pos <= -1.
7088 static __isl_give isl_basic_set
*neg_halfspace(__isl_take isl_space
*dim
, int pos
)
7093 neg
= isl_basic_set_alloc_space(dim
, 0, 0, 1);
7094 k
= isl_basic_set_alloc_inequality(neg
);
7097 isl_seq_clr(neg
->ineq
[k
], 1 + isl_basic_set_total_dim(neg
));
7098 isl_int_set_si(neg
->ineq
[k
][0], -1);
7099 isl_int_set_si(neg
->ineq
[k
][pos
], -1);
7101 return isl_basic_set_finalize(neg
);
7103 isl_basic_set_free(neg
);
7107 __isl_give isl_set
*isl_set_split_dims(__isl_take isl_set
*set
,
7108 enum isl_dim_type type
, unsigned first
, unsigned n
)
7111 isl_basic_set
*nonneg
;
7119 isl_assert(set
->ctx
, first
+ n
<= isl_set_dim(set
, type
), goto error
);
7121 for (i
= 0; i
< n
; ++i
) {
7122 nonneg
= nonneg_halfspace(isl_set_get_space(set
),
7123 pos(set
->dim
, type
) + first
+ i
);
7124 neg
= neg_halfspace(isl_set_get_space(set
),
7125 pos(set
->dim
, type
) + first
+ i
);
7127 set
= isl_set_intersect(set
, isl_basic_set_union(nonneg
, neg
));
7136 static int foreach_orthant(__isl_take isl_set
*set
, int *signs
, int first
,
7137 int len
, int (*fn
)(__isl_take isl_set
*orthant
, int *signs
, void *user
),
7144 if (isl_set_plain_is_empty(set
)) {
7149 return fn(set
, signs
, user
);
7152 half
= isl_set_from_basic_set(nonneg_halfspace(isl_set_get_space(set
),
7154 half
= isl_set_intersect(half
, isl_set_copy(set
));
7155 if (foreach_orthant(half
, signs
, first
+ 1, len
, fn
, user
) < 0)
7159 half
= isl_set_from_basic_set(neg_halfspace(isl_set_get_space(set
),
7161 half
= isl_set_intersect(half
, set
);
7162 return foreach_orthant(half
, signs
, first
+ 1, len
, fn
, user
);
7168 /* Call "fn" on the intersections of "set" with each of the orthants
7169 * (except for obviously empty intersections). The orthant is identified
7170 * by the signs array, with each entry having value 1 or -1 according
7171 * to the sign of the corresponding variable.
7173 int isl_set_foreach_orthant(__isl_keep isl_set
*set
,
7174 int (*fn
)(__isl_take isl_set
*orthant
, int *signs
, void *user
),
7184 if (isl_set_plain_is_empty(set
))
7187 nparam
= isl_set_dim(set
, isl_dim_param
);
7188 nvar
= isl_set_dim(set
, isl_dim_set
);
7190 signs
= isl_alloc_array(set
->ctx
, int, nparam
+ nvar
);
7192 r
= foreach_orthant(isl_set_copy(set
), signs
, 0, nparam
+ nvar
,
7200 int isl_set_is_equal(struct isl_set
*set1
, struct isl_set
*set2
)
7202 return isl_map_is_equal((struct isl_map
*)set1
, (struct isl_map
*)set2
);
7205 int isl_basic_map_is_subset(
7206 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
7209 struct isl_map
*map1
;
7210 struct isl_map
*map2
;
7212 if (!bmap1
|| !bmap2
)
7215 map1
= isl_map_from_basic_map(isl_basic_map_copy(bmap1
));
7216 map2
= isl_map_from_basic_map(isl_basic_map_copy(bmap2
));
7218 is_subset
= isl_map_is_subset(map1
, map2
);
7226 int isl_basic_set_is_subset(__isl_keep isl_basic_set
*bset1
,
7227 __isl_keep isl_basic_set
*bset2
)
7229 return isl_basic_map_is_subset(bset1
, bset2
);
7232 int isl_basic_map_is_equal(
7233 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
7237 if (!bmap1
|| !bmap2
)
7239 is_subset
= isl_basic_map_is_subset(bmap1
, bmap2
);
7242 is_subset
= isl_basic_map_is_subset(bmap2
, bmap1
);
7246 int isl_basic_set_is_equal(
7247 struct isl_basic_set
*bset1
, struct isl_basic_set
*bset2
)
7249 return isl_basic_map_is_equal(
7250 (struct isl_basic_map
*)bset1
, (struct isl_basic_map
*)bset2
);
7253 int isl_map_is_empty(struct isl_map
*map
)
7260 for (i
= 0; i
< map
->n
; ++i
) {
7261 is_empty
= isl_basic_map_is_empty(map
->p
[i
]);
7270 int isl_map_plain_is_empty(__isl_keep isl_map
*map
)
7272 return map
? map
->n
== 0 : -1;
7275 int isl_map_fast_is_empty(__isl_keep isl_map
*map
)
7277 return isl_map_plain_is_empty(map
);
7280 int isl_set_plain_is_empty(struct isl_set
*set
)
7282 return set
? set
->n
== 0 : -1;
7285 int isl_set_fast_is_empty(__isl_keep isl_set
*set
)
7287 return isl_set_plain_is_empty(set
);
7290 int isl_set_is_empty(struct isl_set
*set
)
7292 return isl_map_is_empty((struct isl_map
*)set
);
7295 int isl_map_has_equal_space(__isl_keep isl_map
*map1
, __isl_keep isl_map
*map2
)
7300 return isl_space_is_equal(map1
->dim
, map2
->dim
);
7303 int isl_set_has_equal_space(__isl_keep isl_set
*set1
, __isl_keep isl_set
*set2
)
7308 return isl_space_is_equal(set1
->dim
, set2
->dim
);
7311 static int map_is_equal(__isl_keep isl_map
*map1
, __isl_keep isl_map
*map2
)
7317 is_subset
= isl_map_is_subset(map1
, map2
);
7320 is_subset
= isl_map_is_subset(map2
, map1
);
7324 int isl_map_is_equal(__isl_keep isl_map
*map1
, __isl_keep isl_map
*map2
)
7326 return isl_map_align_params_map_map_and_test(map1
, map2
, &map_is_equal
);
7329 int isl_basic_map_is_strict_subset(
7330 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
7334 if (!bmap1
|| !bmap2
)
7336 is_subset
= isl_basic_map_is_subset(bmap1
, bmap2
);
7339 is_subset
= isl_basic_map_is_subset(bmap2
, bmap1
);
7340 if (is_subset
== -1)
7345 int isl_map_is_strict_subset(struct isl_map
*map1
, struct isl_map
*map2
)
7351 is_subset
= isl_map_is_subset(map1
, map2
);
7354 is_subset
= isl_map_is_subset(map2
, map1
);
7355 if (is_subset
== -1)
7360 int isl_set_is_strict_subset(__isl_keep isl_set
*set1
, __isl_keep isl_set
*set2
)
7362 return isl_map_is_strict_subset((isl_map
*)set1
, (isl_map
*)set2
);
7365 int isl_basic_map_is_universe(struct isl_basic_map
*bmap
)
7369 return bmap
->n_eq
== 0 && bmap
->n_ineq
== 0;
7372 int isl_basic_set_is_universe(struct isl_basic_set
*bset
)
7376 return bset
->n_eq
== 0 && bset
->n_ineq
== 0;
7379 int isl_map_plain_is_universe(__isl_keep isl_map
*map
)
7386 for (i
= 0; i
< map
->n
; ++i
) {
7387 int r
= isl_basic_map_is_universe(map
->p
[i
]);
7395 int isl_set_plain_is_universe(__isl_keep isl_set
*set
)
7397 return isl_map_plain_is_universe((isl_map
*) set
);
7400 int isl_set_fast_is_universe(__isl_keep isl_set
*set
)
7402 return isl_set_plain_is_universe(set
);
7405 int isl_basic_map_is_empty(struct isl_basic_map
*bmap
)
7407 struct isl_basic_set
*bset
= NULL
;
7408 struct isl_vec
*sample
= NULL
;
7415 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_EMPTY
))
7418 if (isl_basic_map_is_universe(bmap
))
7421 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_RATIONAL
)) {
7422 struct isl_basic_map
*copy
= isl_basic_map_copy(bmap
);
7423 copy
= isl_basic_map_remove_redundancies(copy
);
7424 empty
= isl_basic_map_plain_is_empty(copy
);
7425 isl_basic_map_free(copy
);
7429 total
= 1 + isl_basic_map_total_dim(bmap
);
7430 if (bmap
->sample
&& bmap
->sample
->size
== total
) {
7431 int contains
= isl_basic_map_contains(bmap
, bmap
->sample
);
7437 isl_vec_free(bmap
->sample
);
7438 bmap
->sample
= NULL
;
7439 bset
= isl_basic_map_underlying_set(isl_basic_map_copy(bmap
));
7442 sample
= isl_basic_set_sample_vec(bset
);
7445 empty
= sample
->size
== 0;
7446 isl_vec_free(bmap
->sample
);
7447 bmap
->sample
= sample
;
7449 ISL_F_SET(bmap
, ISL_BASIC_MAP_EMPTY
);
7454 int isl_basic_map_plain_is_empty(__isl_keep isl_basic_map
*bmap
)
7458 return ISL_F_ISSET(bmap
, ISL_BASIC_MAP_EMPTY
);
7461 int isl_basic_map_fast_is_empty(__isl_keep isl_basic_map
*bmap
)
7463 return isl_basic_map_plain_is_empty(bmap
);
7466 int isl_basic_set_plain_is_empty(__isl_keep isl_basic_set
*bset
)
7470 return ISL_F_ISSET(bset
, ISL_BASIC_SET_EMPTY
);
7473 int isl_basic_set_fast_is_empty(__isl_keep isl_basic_set
*bset
)
7475 return isl_basic_set_plain_is_empty(bset
);
7478 int isl_basic_set_is_empty(struct isl_basic_set
*bset
)
7480 return isl_basic_map_is_empty((struct isl_basic_map
*)bset
);
7483 struct isl_map
*isl_basic_map_union(
7484 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
7486 struct isl_map
*map
;
7487 if (!bmap1
|| !bmap2
)
7490 isl_assert(bmap1
->ctx
, isl_space_is_equal(bmap1
->dim
, bmap2
->dim
), goto error
);
7492 map
= isl_map_alloc_space(isl_space_copy(bmap1
->dim
), 2, 0);
7495 map
= isl_map_add_basic_map(map
, bmap1
);
7496 map
= isl_map_add_basic_map(map
, bmap2
);
7499 isl_basic_map_free(bmap1
);
7500 isl_basic_map_free(bmap2
);
7504 struct isl_set
*isl_basic_set_union(
7505 struct isl_basic_set
*bset1
, struct isl_basic_set
*bset2
)
7507 return (struct isl_set
*)isl_basic_map_union(
7508 (struct isl_basic_map
*)bset1
,
7509 (struct isl_basic_map
*)bset2
);
7512 /* Order divs such that any div only depends on previous divs */
7513 struct isl_basic_map
*isl_basic_map_order_divs(struct isl_basic_map
*bmap
)
7521 off
= isl_space_dim(bmap
->dim
, isl_dim_all
);
7523 for (i
= 0; i
< bmap
->n_div
; ++i
) {
7525 if (isl_int_is_zero(bmap
->div
[i
][0]))
7527 pos
= isl_seq_first_non_zero(bmap
->div
[i
]+1+1+off
+i
,
7531 isl_basic_map_swap_div(bmap
, i
, i
+ pos
);
7537 struct isl_basic_set
*isl_basic_set_order_divs(struct isl_basic_set
*bset
)
7539 return (struct isl_basic_set
*)
7540 isl_basic_map_order_divs((struct isl_basic_map
*)bset
);
7543 __isl_give isl_map
*isl_map_order_divs(__isl_take isl_map
*map
)
7550 for (i
= 0; i
< map
->n
; ++i
) {
7551 map
->p
[i
] = isl_basic_map_order_divs(map
->p
[i
]);
7562 /* Apply the expansion computed by isl_merge_divs.
7563 * The expansion itself is given by "exp" while the resulting
7564 * list of divs is given by "div".
7566 __isl_give isl_basic_set
*isl_basic_set_expand_divs(
7567 __isl_take isl_basic_set
*bset
, __isl_take isl_mat
*div
, int *exp
)
7572 bset
= isl_basic_set_cow(bset
);
7576 if (div
->n_row
< bset
->n_div
)
7577 isl_die(isl_mat_get_ctx(div
), isl_error_invalid
,
7578 "not an expansion", goto error
);
7580 bset
= isl_basic_map_extend_space(bset
, isl_space_copy(bset
->dim
),
7581 div
->n_row
- bset
->n_div
, 0,
7582 2 * (div
->n_row
- bset
->n_div
));
7584 n_div
= bset
->n_div
;
7585 for (i
= n_div
; i
< div
->n_row
; ++i
)
7586 if (isl_basic_set_alloc_div(bset
) < 0)
7590 for (i
= div
->n_row
- 1; i
>= 0; --i
) {
7591 if (j
>= 0 && exp
[j
] == i
) {
7593 isl_basic_map_swap_div(bset
, i
, j
);
7596 isl_seq_cpy(bset
->div
[i
], div
->row
[i
], div
->n_col
);
7597 if (isl_basic_map_add_div_constraints(bset
, i
) < 0)
7605 isl_basic_set_free(bset
);
7610 /* Look for a div in dst that corresponds to the div "div" in src.
7611 * The divs before "div" in src and dst are assumed to be the same.
7613 * Returns -1 if no corresponding div was found and the position
7614 * of the corresponding div in dst otherwise.
7616 static int find_div(struct isl_basic_map
*dst
,
7617 struct isl_basic_map
*src
, unsigned div
)
7621 unsigned total
= isl_space_dim(src
->dim
, isl_dim_all
);
7623 isl_assert(dst
->ctx
, div
<= dst
->n_div
, return -1);
7624 for (i
= div
; i
< dst
->n_div
; ++i
)
7625 if (isl_seq_eq(dst
->div
[i
], src
->div
[div
], 1+1+total
+div
) &&
7626 isl_seq_first_non_zero(dst
->div
[i
]+1+1+total
+div
,
7627 dst
->n_div
- div
) == -1)
7632 struct isl_basic_map
*isl_basic_map_align_divs(
7633 struct isl_basic_map
*dst
, struct isl_basic_map
*src
)
7641 if (src
->n_div
== 0)
7644 for (i
= 0; i
< src
->n_div
; ++i
)
7645 isl_assert(src
->ctx
, !isl_int_is_zero(src
->div
[i
][0]), goto error
);
7647 src
= isl_basic_map_order_divs(src
);
7648 dst
= isl_basic_map_cow(dst
);
7649 dst
= isl_basic_map_extend_space(dst
, isl_space_copy(dst
->dim
),
7650 src
->n_div
, 0, 2 * src
->n_div
);
7653 total
= isl_space_dim(src
->dim
, isl_dim_all
);
7654 for (i
= 0; i
< src
->n_div
; ++i
) {
7655 int j
= find_div(dst
, src
, i
);
7657 j
= isl_basic_map_alloc_div(dst
);
7660 isl_seq_cpy(dst
->div
[j
], src
->div
[i
], 1+1+total
+i
);
7661 isl_seq_clr(dst
->div
[j
]+1+1+total
+i
, dst
->n_div
- i
);
7662 if (isl_basic_map_add_div_constraints(dst
, j
) < 0)
7666 isl_basic_map_swap_div(dst
, i
, j
);
7670 isl_basic_map_free(dst
);
7674 struct isl_basic_set
*isl_basic_set_align_divs(
7675 struct isl_basic_set
*dst
, struct isl_basic_set
*src
)
7677 return (struct isl_basic_set
*)isl_basic_map_align_divs(
7678 (struct isl_basic_map
*)dst
, (struct isl_basic_map
*)src
);
7681 struct isl_map
*isl_map_align_divs(struct isl_map
*map
)
7689 map
= isl_map_compute_divs(map
);
7690 map
= isl_map_cow(map
);
7694 for (i
= 1; i
< map
->n
; ++i
)
7695 map
->p
[0] = isl_basic_map_align_divs(map
->p
[0], map
->p
[i
]);
7696 for (i
= 1; i
< map
->n
; ++i
)
7697 map
->p
[i
] = isl_basic_map_align_divs(map
->p
[i
], map
->p
[0]);
7699 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
7703 struct isl_set
*isl_set_align_divs(struct isl_set
*set
)
7705 return (struct isl_set
*)isl_map_align_divs((struct isl_map
*)set
);
7708 static __isl_give isl_set
*set_apply( __isl_take isl_set
*set
,
7709 __isl_take isl_map
*map
)
7713 isl_assert(set
->ctx
, isl_map_compatible_domain(map
, set
), goto error
);
7714 map
= isl_map_intersect_domain(map
, set
);
7715 set
= isl_map_range(map
);
7723 __isl_give isl_set
*isl_set_apply( __isl_take isl_set
*set
,
7724 __isl_take isl_map
*map
)
7726 return isl_map_align_params_map_map_and(set
, map
, &set_apply
);
7729 /* There is no need to cow as removing empty parts doesn't change
7730 * the meaning of the set.
7732 struct isl_map
*isl_map_remove_empty_parts(struct isl_map
*map
)
7739 for (i
= map
->n
- 1; i
>= 0; --i
)
7740 remove_if_empty(map
, i
);
7745 struct isl_set
*isl_set_remove_empty_parts(struct isl_set
*set
)
7747 return (struct isl_set
*)
7748 isl_map_remove_empty_parts((struct isl_map
*)set
);
7751 struct isl_basic_map
*isl_map_copy_basic_map(struct isl_map
*map
)
7753 struct isl_basic_map
*bmap
;
7754 if (!map
|| map
->n
== 0)
7756 bmap
= map
->p
[map
->n
-1];
7757 isl_assert(map
->ctx
, ISL_F_ISSET(bmap
, ISL_BASIC_SET_FINAL
), return NULL
);
7758 return isl_basic_map_copy(bmap
);
7761 struct isl_basic_set
*isl_set_copy_basic_set(struct isl_set
*set
)
7763 return (struct isl_basic_set
*)
7764 isl_map_copy_basic_map((struct isl_map
*)set
);
7767 __isl_give isl_map
*isl_map_drop_basic_map(__isl_take isl_map
*map
,
7768 __isl_keep isl_basic_map
*bmap
)
7774 for (i
= map
->n
-1; i
>= 0; --i
) {
7775 if (map
->p
[i
] != bmap
)
7777 map
= isl_map_cow(map
);
7780 isl_basic_map_free(map
->p
[i
]);
7781 if (i
!= map
->n
-1) {
7782 ISL_F_CLR(map
, ISL_SET_NORMALIZED
);
7783 map
->p
[i
] = map
->p
[map
->n
-1];
7794 struct isl_set
*isl_set_drop_basic_set(struct isl_set
*set
,
7795 struct isl_basic_set
*bset
)
7797 return (struct isl_set
*)isl_map_drop_basic_map((struct isl_map
*)set
,
7798 (struct isl_basic_map
*)bset
);
7801 /* Given two basic sets bset1 and bset2, compute the maximal difference
7802 * between the values of dimension pos in bset1 and those in bset2
7803 * for any common value of the parameters and dimensions preceding pos.
7805 static enum isl_lp_result
basic_set_maximal_difference_at(
7806 __isl_keep isl_basic_set
*bset1
, __isl_keep isl_basic_set
*bset2
,
7807 int pos
, isl_int
*opt
)
7810 struct isl_basic_map
*bmap1
= NULL
;
7811 struct isl_basic_map
*bmap2
= NULL
;
7812 struct isl_ctx
*ctx
;
7813 struct isl_vec
*obj
;
7816 unsigned dim1
, dim2
;
7817 enum isl_lp_result res
;
7819 if (!bset1
|| !bset2
)
7820 return isl_lp_error
;
7822 nparam
= isl_basic_set_n_param(bset1
);
7823 dim1
= isl_basic_set_n_dim(bset1
);
7824 dim2
= isl_basic_set_n_dim(bset2
);
7825 dims
= isl_space_alloc(bset1
->ctx
, nparam
, pos
, dim1
- pos
);
7826 bmap1
= isl_basic_map_from_basic_set(isl_basic_set_copy(bset1
), dims
);
7827 dims
= isl_space_alloc(bset2
->ctx
, nparam
, pos
, dim2
- pos
);
7828 bmap2
= isl_basic_map_from_basic_set(isl_basic_set_copy(bset2
), dims
);
7829 if (!bmap1
|| !bmap2
)
7831 bmap1
= isl_basic_map_cow(bmap1
);
7832 bmap1
= isl_basic_map_extend(bmap1
, nparam
,
7833 pos
, (dim1
- pos
) + (dim2
- pos
),
7834 bmap2
->n_div
, bmap2
->n_eq
, bmap2
->n_ineq
);
7835 bmap1
= add_constraints(bmap1
, bmap2
, 0, dim1
- pos
);
7838 total
= isl_basic_map_total_dim(bmap1
);
7840 obj
= isl_vec_alloc(ctx
, 1 + total
);
7843 isl_seq_clr(obj
->block
.data
, 1 + total
);
7844 isl_int_set_si(obj
->block
.data
[1+nparam
+pos
], 1);
7845 isl_int_set_si(obj
->block
.data
[1+nparam
+pos
+(dim1
-pos
)], -1);
7846 res
= isl_basic_map_solve_lp(bmap1
, 1, obj
->block
.data
, ctx
->one
,
7848 isl_basic_map_free(bmap1
);
7852 isl_basic_map_free(bmap2
);
7854 isl_basic_map_free(bmap1
);
7855 return isl_lp_error
;
7858 /* Given two _disjoint_ basic sets bset1 and bset2, check whether
7859 * for any common value of the parameters and dimensions preceding pos
7860 * in both basic sets, the values of dimension pos in bset1 are
7861 * smaller or larger than those in bset2.
7864 * 1 if bset1 follows bset2
7865 * -1 if bset1 precedes bset2
7866 * 0 if bset1 and bset2 are incomparable
7867 * -2 if some error occurred.
7869 int isl_basic_set_compare_at(struct isl_basic_set
*bset1
,
7870 struct isl_basic_set
*bset2
, int pos
)
7873 enum isl_lp_result res
;
7878 res
= basic_set_maximal_difference_at(bset1
, bset2
, pos
, &opt
);
7880 if (res
== isl_lp_empty
)
7882 else if ((res
== isl_lp_ok
&& isl_int_is_pos(opt
)) ||
7883 res
== isl_lp_unbounded
)
7885 else if (res
== isl_lp_ok
&& isl_int_is_neg(opt
))
7894 /* Given two basic sets bset1 and bset2, check whether
7895 * for any common value of the parameters and dimensions preceding pos
7896 * there is a value of dimension pos in bset1 that is larger
7897 * than a value of the same dimension in bset2.
7900 * 1 if there exists such a pair
7901 * 0 if there is no such pair, but there is a pair of equal values
7903 * -2 if some error occurred.
7905 int isl_basic_set_follows_at(__isl_keep isl_basic_set
*bset1
,
7906 __isl_keep isl_basic_set
*bset2
, int pos
)
7909 enum isl_lp_result res
;
7914 res
= basic_set_maximal_difference_at(bset1
, bset2
, pos
, &opt
);
7916 if (res
== isl_lp_empty
)
7918 else if ((res
== isl_lp_ok
&& isl_int_is_pos(opt
)) ||
7919 res
== isl_lp_unbounded
)
7921 else if (res
== isl_lp_ok
&& isl_int_is_neg(opt
))
7923 else if (res
== isl_lp_ok
)
7932 /* Given two sets set1 and set2, check whether
7933 * for any common value of the parameters and dimensions preceding pos
7934 * there is a value of dimension pos in set1 that is larger
7935 * than a value of the same dimension in set2.
7938 * 1 if there exists such a pair
7939 * 0 if there is no such pair, but there is a pair of equal values
7941 * -2 if some error occurred.
7943 int isl_set_follows_at(__isl_keep isl_set
*set1
,
7944 __isl_keep isl_set
*set2
, int pos
)
7952 for (i
= 0; i
< set1
->n
; ++i
)
7953 for (j
= 0; j
< set2
->n
; ++j
) {
7955 f
= isl_basic_set_follows_at(set1
->p
[i
], set2
->p
[j
], pos
);
7956 if (f
== 1 || f
== -2)
7965 static int isl_basic_map_plain_has_fixed_var(__isl_keep isl_basic_map
*bmap
,
7966 unsigned pos
, isl_int
*val
)
7974 total
= isl_basic_map_total_dim(bmap
);
7975 for (i
= 0, d
= total
-1; i
< bmap
->n_eq
&& d
+1 > pos
; ++i
) {
7976 for (; d
+1 > pos
; --d
)
7977 if (!isl_int_is_zero(bmap
->eq
[i
][1+d
]))
7981 if (isl_seq_first_non_zero(bmap
->eq
[i
]+1, d
) != -1)
7983 if (isl_seq_first_non_zero(bmap
->eq
[i
]+1+d
+1, total
-d
-1) != -1)
7985 if (!isl_int_is_one(bmap
->eq
[i
][1+d
]))
7988 isl_int_neg(*val
, bmap
->eq
[i
][0]);
7994 static int isl_map_plain_has_fixed_var(__isl_keep isl_map
*map
,
7995 unsigned pos
, isl_int
*val
)
8007 return isl_basic_map_plain_has_fixed_var(map
->p
[0], pos
, val
);
8010 fixed
= isl_basic_map_plain_has_fixed_var(map
->p
[0], pos
, &v
);
8011 for (i
= 1; fixed
== 1 && i
< map
->n
; ++i
) {
8012 fixed
= isl_basic_map_plain_has_fixed_var(map
->p
[i
], pos
, &tmp
);
8013 if (fixed
== 1 && isl_int_ne(tmp
, v
))
8017 isl_int_set(*val
, v
);
8023 static int isl_basic_set_plain_has_fixed_var(__isl_keep isl_basic_set
*bset
,
8024 unsigned pos
, isl_int
*val
)
8026 return isl_basic_map_plain_has_fixed_var((struct isl_basic_map
*)bset
,
8030 static int isl_set_plain_has_fixed_var(__isl_keep isl_set
*set
, unsigned pos
,
8033 return isl_map_plain_has_fixed_var((struct isl_map
*)set
, pos
, val
);
8036 int isl_basic_map_plain_is_fixed(__isl_keep isl_basic_map
*bmap
,
8037 enum isl_dim_type type
, unsigned pos
, isl_int
*val
)
8039 if (pos
>= isl_basic_map_dim(bmap
, type
))
8041 return isl_basic_map_plain_has_fixed_var(bmap
,
8042 isl_basic_map_offset(bmap
, type
) - 1 + pos
, val
);
8045 int isl_map_plain_is_fixed(__isl_keep isl_map
*map
,
8046 enum isl_dim_type type
, unsigned pos
, isl_int
*val
)
8048 if (pos
>= isl_map_dim(map
, type
))
8050 return isl_map_plain_has_fixed_var(map
,
8051 map_offset(map
, type
) - 1 + pos
, val
);
8054 int isl_set_plain_is_fixed(__isl_keep isl_set
*set
,
8055 enum isl_dim_type type
, unsigned pos
, isl_int
*val
)
8057 return isl_map_plain_is_fixed(set
, type
, pos
, val
);
8060 int isl_map_fast_is_fixed(__isl_keep isl_map
*map
,
8061 enum isl_dim_type type
, unsigned pos
, isl_int
*val
)
8063 return isl_map_plain_is_fixed(map
, type
, pos
, val
);
8066 /* Check if dimension dim has fixed value and if so and if val is not NULL,
8067 * then return this fixed value in *val.
8069 int isl_basic_set_plain_dim_is_fixed(__isl_keep isl_basic_set
*bset
,
8070 unsigned dim
, isl_int
*val
)
8072 return isl_basic_set_plain_has_fixed_var(bset
,
8073 isl_basic_set_n_param(bset
) + dim
, val
);
8076 /* Check if dimension dim has fixed value and if so and if val is not NULL,
8077 * then return this fixed value in *val.
8079 int isl_set_plain_dim_is_fixed(__isl_keep isl_set
*set
,
8080 unsigned dim
, isl_int
*val
)
8082 return isl_set_plain_has_fixed_var(set
, isl_set_n_param(set
) + dim
, val
);
8085 int isl_set_fast_dim_is_fixed(__isl_keep isl_set
*set
,
8086 unsigned dim
, isl_int
*val
)
8088 return isl_set_plain_dim_is_fixed(set
, dim
, val
);
8091 /* Check if input variable in has fixed value and if so and if val is not NULL,
8092 * then return this fixed value in *val.
8094 int isl_map_plain_input_is_fixed(__isl_keep isl_map
*map
,
8095 unsigned in
, isl_int
*val
)
8097 return isl_map_plain_has_fixed_var(map
, isl_map_n_param(map
) + in
, val
);
8100 /* Check if dimension dim has an (obvious) fixed lower bound and if so
8101 * and if val is not NULL, then return this lower bound in *val.
8103 int isl_basic_set_plain_dim_has_fixed_lower_bound(
8104 __isl_keep isl_basic_set
*bset
, unsigned dim
, isl_int
*val
)
8106 int i
, i_eq
= -1, i_ineq
= -1;
8113 total
= isl_basic_set_total_dim(bset
);
8114 nparam
= isl_basic_set_n_param(bset
);
8115 for (i
= 0; i
< bset
->n_eq
; ++i
) {
8116 if (isl_int_is_zero(bset
->eq
[i
][1+nparam
+dim
]))
8122 for (i
= 0; i
< bset
->n_ineq
; ++i
) {
8123 if (!isl_int_is_pos(bset
->ineq
[i
][1+nparam
+dim
]))
8125 if (i_eq
!= -1 || i_ineq
!= -1)
8129 if (i_eq
== -1 && i_ineq
== -1)
8131 c
= i_eq
!= -1 ? bset
->eq
[i_eq
] : bset
->ineq
[i_ineq
];
8132 /* The coefficient should always be one due to normalization. */
8133 if (!isl_int_is_one(c
[1+nparam
+dim
]))
8135 if (isl_seq_first_non_zero(c
+1, nparam
+dim
) != -1)
8137 if (isl_seq_first_non_zero(c
+1+nparam
+dim
+1,
8138 total
- nparam
- dim
- 1) != -1)
8141 isl_int_neg(*val
, c
[0]);
8145 int isl_set_plain_dim_has_fixed_lower_bound(__isl_keep isl_set
*set
,
8146 unsigned dim
, isl_int
*val
)
8158 return isl_basic_set_plain_dim_has_fixed_lower_bound(set
->p
[0],
8162 fixed
= isl_basic_set_plain_dim_has_fixed_lower_bound(set
->p
[0],
8164 for (i
= 1; fixed
== 1 && i
< set
->n
; ++i
) {
8165 fixed
= isl_basic_set_plain_dim_has_fixed_lower_bound(set
->p
[i
],
8167 if (fixed
== 1 && isl_int_ne(tmp
, v
))
8171 isl_int_set(*val
, v
);
8182 /* uset_gist depends on constraints without existentially quantified
8183 * variables sorting first.
8185 static int qsort_constraint_cmp(const void *p1
, const void *p2
)
8187 const struct constraint
*c1
= (const struct constraint
*)p1
;
8188 const struct constraint
*c2
= (const struct constraint
*)p2
;
8190 unsigned size
= isl_min(c1
->size
, c2
->size
);
8192 l1
= isl_seq_last_non_zero(c1
->c
, size
);
8193 l2
= isl_seq_last_non_zero(c2
->c
, size
);
8198 return isl_seq_cmp(c1
->c
, c2
->c
, size
);
8201 static struct isl_basic_map
*isl_basic_map_sort_constraints(
8202 struct isl_basic_map
*bmap
)
8205 struct constraint
*c
;
8210 total
= isl_basic_map_total_dim(bmap
);
8211 c
= isl_alloc_array(bmap
->ctx
, struct constraint
, bmap
->n_ineq
);
8214 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
8216 c
[i
].c
= bmap
->ineq
[i
];
8218 qsort(c
, bmap
->n_ineq
, sizeof(struct constraint
), qsort_constraint_cmp
);
8219 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
8220 bmap
->ineq
[i
] = c
[i
].c
;
8224 isl_basic_map_free(bmap
);
8228 __isl_give isl_basic_set
*isl_basic_set_sort_constraints(
8229 __isl_take isl_basic_set
*bset
)
8231 return (struct isl_basic_set
*)isl_basic_map_sort_constraints(
8232 (struct isl_basic_map
*)bset
);
8235 struct isl_basic_map
*isl_basic_map_normalize(struct isl_basic_map
*bmap
)
8239 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_NORMALIZED
))
8241 bmap
= isl_basic_map_remove_redundancies(bmap
);
8242 bmap
= isl_basic_map_sort_constraints(bmap
);
8243 ISL_F_SET(bmap
, ISL_BASIC_MAP_NORMALIZED
);
8247 struct isl_basic_set
*isl_basic_set_normalize(struct isl_basic_set
*bset
)
8249 return (struct isl_basic_set
*)isl_basic_map_normalize(
8250 (struct isl_basic_map
*)bset
);
8253 int isl_basic_map_plain_cmp(const __isl_keep isl_basic_map
*bmap1
,
8254 const __isl_keep isl_basic_map
*bmap2
)
8261 if (ISL_F_ISSET(bmap1
, ISL_BASIC_MAP_RATIONAL
) !=
8262 ISL_F_ISSET(bmap2
, ISL_BASIC_MAP_RATIONAL
))
8263 return ISL_F_ISSET(bmap1
, ISL_BASIC_MAP_RATIONAL
) ? -1 : 1;
8264 if (isl_basic_map_n_param(bmap1
) != isl_basic_map_n_param(bmap2
))
8265 return isl_basic_map_n_param(bmap1
) - isl_basic_map_n_param(bmap2
);
8266 if (isl_basic_map_n_in(bmap1
) != isl_basic_map_n_in(bmap2
))
8267 return isl_basic_map_n_out(bmap1
) - isl_basic_map_n_out(bmap2
);
8268 if (isl_basic_map_n_out(bmap1
) != isl_basic_map_n_out(bmap2
))
8269 return isl_basic_map_n_out(bmap1
) - isl_basic_map_n_out(bmap2
);
8270 if (ISL_F_ISSET(bmap1
, ISL_BASIC_MAP_EMPTY
) &&
8271 ISL_F_ISSET(bmap2
, ISL_BASIC_MAP_EMPTY
))
8273 if (ISL_F_ISSET(bmap1
, ISL_BASIC_MAP_EMPTY
))
8275 if (ISL_F_ISSET(bmap2
, ISL_BASIC_MAP_EMPTY
))
8277 if (bmap1
->n_eq
!= bmap2
->n_eq
)
8278 return bmap1
->n_eq
- bmap2
->n_eq
;
8279 if (bmap1
->n_ineq
!= bmap2
->n_ineq
)
8280 return bmap1
->n_ineq
- bmap2
->n_ineq
;
8281 if (bmap1
->n_div
!= bmap2
->n_div
)
8282 return bmap1
->n_div
- bmap2
->n_div
;
8283 total
= isl_basic_map_total_dim(bmap1
);
8284 for (i
= 0; i
< bmap1
->n_eq
; ++i
) {
8285 cmp
= isl_seq_cmp(bmap1
->eq
[i
], bmap2
->eq
[i
], 1+total
);
8289 for (i
= 0; i
< bmap1
->n_ineq
; ++i
) {
8290 cmp
= isl_seq_cmp(bmap1
->ineq
[i
], bmap2
->ineq
[i
], 1+total
);
8294 for (i
= 0; i
< bmap1
->n_div
; ++i
) {
8295 cmp
= isl_seq_cmp(bmap1
->div
[i
], bmap2
->div
[i
], 1+1+total
);
8302 int isl_basic_set_plain_cmp(const __isl_keep isl_basic_set
*bset1
,
8303 const __isl_keep isl_basic_set
*bset2
)
8305 return isl_basic_map_plain_cmp(bset1
, bset2
);
8308 int isl_set_plain_cmp(__isl_keep isl_set
*set1
, __isl_keep isl_set
*set2
)
8314 if (set1
->n
!= set2
->n
)
8315 return set1
->n
- set2
->n
;
8317 for (i
= 0; i
< set1
->n
; ++i
) {
8318 cmp
= isl_basic_set_plain_cmp(set1
->p
[i
], set2
->p
[i
]);
8326 int isl_basic_map_plain_is_equal(__isl_keep isl_basic_map
*bmap1
,
8327 __isl_keep isl_basic_map
*bmap2
)
8329 return isl_basic_map_plain_cmp(bmap1
, bmap2
) == 0;
8332 int isl_basic_set_plain_is_equal(__isl_keep isl_basic_set
*bset1
,
8333 __isl_keep isl_basic_set
*bset2
)
8335 return isl_basic_map_plain_is_equal((isl_basic_map
*)bset1
,
8336 (isl_basic_map
*)bset2
);
8339 static int qsort_bmap_cmp(const void *p1
, const void *p2
)
8341 const struct isl_basic_map
*bmap1
= *(const struct isl_basic_map
**)p1
;
8342 const struct isl_basic_map
*bmap2
= *(const struct isl_basic_map
**)p2
;
8344 return isl_basic_map_plain_cmp(bmap1
, bmap2
);
8347 /* We normalize in place, but if anything goes wrong we need
8348 * to return NULL, so we need to make sure we don't change the
8349 * meaning of any possible other copies of map.
8351 struct isl_map
*isl_map_normalize(struct isl_map
*map
)
8354 struct isl_basic_map
*bmap
;
8358 if (ISL_F_ISSET(map
, ISL_MAP_NORMALIZED
))
8360 for (i
= 0; i
< map
->n
; ++i
) {
8361 bmap
= isl_basic_map_normalize(isl_basic_map_copy(map
->p
[i
]));
8364 isl_basic_map_free(map
->p
[i
]);
8367 qsort(map
->p
, map
->n
, sizeof(struct isl_basic_map
*), qsort_bmap_cmp
);
8368 ISL_F_SET(map
, ISL_MAP_NORMALIZED
);
8369 map
= isl_map_remove_empty_parts(map
);
8372 for (i
= map
->n
- 1; i
>= 1; --i
) {
8373 if (!isl_basic_map_plain_is_equal(map
->p
[i
-1], map
->p
[i
]))
8375 isl_basic_map_free(map
->p
[i
-1]);
8376 for (j
= i
; j
< map
->n
; ++j
)
8377 map
->p
[j
-1] = map
->p
[j
];
8387 struct isl_set
*isl_set_normalize(struct isl_set
*set
)
8389 return (struct isl_set
*)isl_map_normalize((struct isl_map
*)set
);
8392 int isl_map_plain_is_equal(__isl_keep isl_map
*map1
, __isl_keep isl_map
*map2
)
8402 if (!isl_space_is_equal(map1
->dim
, map2
->dim
))
8405 map1
= isl_map_copy(map1
);
8406 map2
= isl_map_copy(map2
);
8407 map1
= isl_map_normalize(map1
);
8408 map2
= isl_map_normalize(map2
);
8411 equal
= map1
->n
== map2
->n
;
8412 for (i
= 0; equal
&& i
< map1
->n
; ++i
) {
8413 equal
= isl_basic_map_plain_is_equal(map1
->p
[i
], map2
->p
[i
]);
8426 int isl_map_fast_is_equal(__isl_keep isl_map
*map1
, __isl_keep isl_map
*map2
)
8428 return isl_map_plain_is_equal(map1
, map2
);
8431 int isl_set_plain_is_equal(__isl_keep isl_set
*set1
, __isl_keep isl_set
*set2
)
8433 return isl_map_plain_is_equal((struct isl_map
*)set1
,
8434 (struct isl_map
*)set2
);
8437 int isl_set_fast_is_equal(__isl_keep isl_set
*set1
, __isl_keep isl_set
*set2
)
8439 return isl_set_plain_is_equal(set1
, set2
);
8442 /* Return an interval that ranges from min to max (inclusive)
8444 struct isl_basic_set
*isl_basic_set_interval(struct isl_ctx
*ctx
,
8445 isl_int min
, isl_int max
)
8448 struct isl_basic_set
*bset
= NULL
;
8450 bset
= isl_basic_set_alloc(ctx
, 0, 1, 0, 0, 2);
8454 k
= isl_basic_set_alloc_inequality(bset
);
8457 isl_int_set_si(bset
->ineq
[k
][1], 1);
8458 isl_int_neg(bset
->ineq
[k
][0], min
);
8460 k
= isl_basic_set_alloc_inequality(bset
);
8463 isl_int_set_si(bset
->ineq
[k
][1], -1);
8464 isl_int_set(bset
->ineq
[k
][0], max
);
8468 isl_basic_set_free(bset
);
8472 /* Return the Cartesian product of the basic sets in list (in the given order).
8474 __isl_give isl_basic_set
*isl_basic_set_list_product(
8475 __isl_take
struct isl_basic_set_list
*list
)
8483 struct isl_basic_set
*product
= NULL
;
8487 isl_assert(list
->ctx
, list
->n
> 0, goto error
);
8488 isl_assert(list
->ctx
, list
->p
[0], goto error
);
8489 nparam
= isl_basic_set_n_param(list
->p
[0]);
8490 dim
= isl_basic_set_n_dim(list
->p
[0]);
8491 extra
= list
->p
[0]->n_div
;
8492 n_eq
= list
->p
[0]->n_eq
;
8493 n_ineq
= list
->p
[0]->n_ineq
;
8494 for (i
= 1; i
< list
->n
; ++i
) {
8495 isl_assert(list
->ctx
, list
->p
[i
], goto error
);
8496 isl_assert(list
->ctx
,
8497 nparam
== isl_basic_set_n_param(list
->p
[i
]), goto error
);
8498 dim
+= isl_basic_set_n_dim(list
->p
[i
]);
8499 extra
+= list
->p
[i
]->n_div
;
8500 n_eq
+= list
->p
[i
]->n_eq
;
8501 n_ineq
+= list
->p
[i
]->n_ineq
;
8503 product
= isl_basic_set_alloc(list
->ctx
, nparam
, dim
, extra
,
8508 for (i
= 0; i
< list
->n
; ++i
) {
8509 isl_basic_set_add_constraints(product
,
8510 isl_basic_set_copy(list
->p
[i
]), dim
);
8511 dim
+= isl_basic_set_n_dim(list
->p
[i
]);
8513 isl_basic_set_list_free(list
);
8516 isl_basic_set_free(product
);
8517 isl_basic_set_list_free(list
);
8521 struct isl_basic_map
*isl_basic_map_product(
8522 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
8524 isl_space
*dim_result
= NULL
;
8525 struct isl_basic_map
*bmap
;
8526 unsigned in1
, in2
, out1
, out2
, nparam
, total
, pos
;
8527 struct isl_dim_map
*dim_map1
, *dim_map2
;
8529 if (!bmap1
|| !bmap2
)
8532 isl_assert(bmap1
->ctx
, isl_space_match(bmap1
->dim
, isl_dim_param
,
8533 bmap2
->dim
, isl_dim_param
), goto error
);
8534 dim_result
= isl_space_product(isl_space_copy(bmap1
->dim
),
8535 isl_space_copy(bmap2
->dim
));
8537 in1
= isl_basic_map_n_in(bmap1
);
8538 in2
= isl_basic_map_n_in(bmap2
);
8539 out1
= isl_basic_map_n_out(bmap1
);
8540 out2
= isl_basic_map_n_out(bmap2
);
8541 nparam
= isl_basic_map_n_param(bmap1
);
8543 total
= nparam
+ in1
+ in2
+ out1
+ out2
+ bmap1
->n_div
+ bmap2
->n_div
;
8544 dim_map1
= isl_dim_map_alloc(bmap1
->ctx
, total
);
8545 dim_map2
= isl_dim_map_alloc(bmap1
->ctx
, total
);
8546 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_param
, pos
= 0);
8547 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_param
, pos
= 0);
8548 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_in
, pos
+= nparam
);
8549 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_in
, pos
+= in1
);
8550 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_out
, pos
+= in2
);
8551 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_out
, pos
+= out1
);
8552 isl_dim_map_div(dim_map1
, bmap1
, pos
+= out2
);
8553 isl_dim_map_div(dim_map2
, bmap2
, pos
+= bmap1
->n_div
);
8555 bmap
= isl_basic_map_alloc_space(dim_result
,
8556 bmap1
->n_div
+ bmap2
->n_div
,
8557 bmap1
->n_eq
+ bmap2
->n_eq
,
8558 bmap1
->n_ineq
+ bmap2
->n_ineq
);
8559 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap1
, dim_map1
);
8560 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap2
, dim_map2
);
8561 bmap
= isl_basic_map_simplify(bmap
);
8562 return isl_basic_map_finalize(bmap
);
8564 isl_basic_map_free(bmap1
);
8565 isl_basic_map_free(bmap2
);
8569 __isl_give isl_basic_map
*isl_basic_map_flat_product(
8570 __isl_take isl_basic_map
*bmap1
, __isl_take isl_basic_map
*bmap2
)
8572 isl_basic_map
*prod
;
8574 prod
= isl_basic_map_product(bmap1
, bmap2
);
8575 prod
= isl_basic_map_flatten(prod
);
8579 __isl_give isl_basic_set
*isl_basic_set_flat_product(
8580 __isl_take isl_basic_set
*bset1
, __isl_take isl_basic_set
*bset2
)
8582 return isl_basic_map_flat_range_product(bset1
, bset2
);
8585 __isl_give isl_basic_map
*isl_basic_map_domain_product(
8586 __isl_take isl_basic_map
*bmap1
, __isl_take isl_basic_map
*bmap2
)
8588 isl_space
*space_result
= NULL
;
8589 isl_basic_map
*bmap
;
8590 unsigned in1
, in2
, out
, nparam
, total
, pos
;
8591 struct isl_dim_map
*dim_map1
, *dim_map2
;
8593 if (!bmap1
|| !bmap2
)
8596 space_result
= isl_space_domain_product(isl_space_copy(bmap1
->dim
),
8597 isl_space_copy(bmap2
->dim
));
8599 in1
= isl_basic_map_dim(bmap1
, isl_dim_in
);
8600 in2
= isl_basic_map_dim(bmap2
, isl_dim_in
);
8601 out
= isl_basic_map_dim(bmap1
, isl_dim_out
);
8602 nparam
= isl_basic_map_dim(bmap1
, isl_dim_param
);
8604 total
= nparam
+ in1
+ in2
+ out
+ bmap1
->n_div
+ bmap2
->n_div
;
8605 dim_map1
= isl_dim_map_alloc(bmap1
->ctx
, total
);
8606 dim_map2
= isl_dim_map_alloc(bmap1
->ctx
, total
);
8607 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_param
, pos
= 0);
8608 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_param
, pos
= 0);
8609 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_in
, pos
+= nparam
);
8610 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_in
, pos
+= in1
);
8611 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_out
, pos
+= in2
);
8612 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_out
, pos
);
8613 isl_dim_map_div(dim_map1
, bmap1
, pos
+= out
);
8614 isl_dim_map_div(dim_map2
, bmap2
, pos
+= bmap1
->n_div
);
8616 bmap
= isl_basic_map_alloc_space(space_result
,
8617 bmap1
->n_div
+ bmap2
->n_div
,
8618 bmap1
->n_eq
+ bmap2
->n_eq
,
8619 bmap1
->n_ineq
+ bmap2
->n_ineq
);
8620 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap1
, dim_map1
);
8621 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap2
, dim_map2
);
8622 bmap
= isl_basic_map_simplify(bmap
);
8623 return isl_basic_map_finalize(bmap
);
8625 isl_basic_map_free(bmap1
);
8626 isl_basic_map_free(bmap2
);
8630 __isl_give isl_basic_map
*isl_basic_map_range_product(
8631 __isl_take isl_basic_map
*bmap1
, __isl_take isl_basic_map
*bmap2
)
8633 isl_space
*dim_result
= NULL
;
8634 isl_basic_map
*bmap
;
8635 unsigned in
, out1
, out2
, nparam
, total
, pos
;
8636 struct isl_dim_map
*dim_map1
, *dim_map2
;
8638 if (!bmap1
|| !bmap2
)
8641 if (!isl_space_match(bmap1
->dim
, isl_dim_param
,
8642 bmap2
->dim
, isl_dim_param
))
8643 isl_die(isl_basic_map_get_ctx(bmap1
), isl_error_invalid
,
8644 "parameters don't match", goto error
);
8646 dim_result
= isl_space_range_product(isl_space_copy(bmap1
->dim
),
8647 isl_space_copy(bmap2
->dim
));
8649 in
= isl_basic_map_dim(bmap1
, isl_dim_in
);
8650 out1
= isl_basic_map_n_out(bmap1
);
8651 out2
= isl_basic_map_n_out(bmap2
);
8652 nparam
= isl_basic_map_n_param(bmap1
);
8654 total
= nparam
+ in
+ out1
+ out2
+ bmap1
->n_div
+ bmap2
->n_div
;
8655 dim_map1
= isl_dim_map_alloc(bmap1
->ctx
, total
);
8656 dim_map2
= isl_dim_map_alloc(bmap1
->ctx
, total
);
8657 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_param
, pos
= 0);
8658 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_param
, pos
= 0);
8659 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_in
, pos
+= nparam
);
8660 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_in
, pos
);
8661 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_out
, pos
+= in
);
8662 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_out
, pos
+= out1
);
8663 isl_dim_map_div(dim_map1
, bmap1
, pos
+= out2
);
8664 isl_dim_map_div(dim_map2
, bmap2
, pos
+= bmap1
->n_div
);
8666 bmap
= isl_basic_map_alloc_space(dim_result
,
8667 bmap1
->n_div
+ bmap2
->n_div
,
8668 bmap1
->n_eq
+ bmap2
->n_eq
,
8669 bmap1
->n_ineq
+ bmap2
->n_ineq
);
8670 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap1
, dim_map1
);
8671 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap2
, dim_map2
);
8672 bmap
= isl_basic_map_simplify(bmap
);
8673 return isl_basic_map_finalize(bmap
);
8675 isl_basic_map_free(bmap1
);
8676 isl_basic_map_free(bmap2
);
8680 __isl_give isl_basic_map
*isl_basic_map_flat_range_product(
8681 __isl_take isl_basic_map
*bmap1
, __isl_take isl_basic_map
*bmap2
)
8683 isl_basic_map
*prod
;
8685 prod
= isl_basic_map_range_product(bmap1
, bmap2
);
8686 prod
= isl_basic_map_flatten_range(prod
);
8690 static __isl_give isl_map
*map_product(__isl_take isl_map
*map1
,
8691 __isl_take isl_map
*map2
,
8692 __isl_give isl_space
*(*dim_product
)(__isl_take isl_space
*left
,
8693 __isl_take isl_space
*right
),
8694 __isl_give isl_basic_map
*(*basic_map_product
)(
8695 __isl_take isl_basic_map
*left
, __isl_take isl_basic_map
*right
))
8698 struct isl_map
*result
;
8704 isl_assert(map1
->ctx
, isl_space_match(map1
->dim
, isl_dim_param
,
8705 map2
->dim
, isl_dim_param
), goto error
);
8707 if (ISL_F_ISSET(map1
, ISL_MAP_DISJOINT
) &&
8708 ISL_F_ISSET(map2
, ISL_MAP_DISJOINT
))
8709 ISL_FL_SET(flags
, ISL_MAP_DISJOINT
);
8711 result
= isl_map_alloc_space(dim_product(isl_space_copy(map1
->dim
),
8712 isl_space_copy(map2
->dim
)),
8713 map1
->n
* map2
->n
, flags
);
8716 for (i
= 0; i
< map1
->n
; ++i
)
8717 for (j
= 0; j
< map2
->n
; ++j
) {
8718 struct isl_basic_map
*part
;
8719 part
= basic_map_product(isl_basic_map_copy(map1
->p
[i
]),
8720 isl_basic_map_copy(map2
->p
[j
]));
8721 if (isl_basic_map_is_empty(part
))
8722 isl_basic_map_free(part
);
8724 result
= isl_map_add_basic_map(result
, part
);
8737 /* Given two maps A -> B and C -> D, construct a map [A -> C] -> [B -> D]
8739 static __isl_give isl_map
*map_product_aligned(__isl_take isl_map
*map1
,
8740 __isl_take isl_map
*map2
)
8742 return map_product(map1
, map2
, &isl_space_product
, &isl_basic_map_product
);
8745 __isl_give isl_map
*isl_map_product(__isl_take isl_map
*map1
,
8746 __isl_take isl_map
*map2
)
8748 return isl_map_align_params_map_map_and(map1
, map2
, &map_product_aligned
);
8751 /* Given two maps A -> B and C -> D, construct a map (A, C) -> (B, D)
8753 __isl_give isl_map
*isl_map_flat_product(__isl_take isl_map
*map1
,
8754 __isl_take isl_map
*map2
)
8758 prod
= isl_map_product(map1
, map2
);
8759 prod
= isl_map_flatten(prod
);
8763 /* Given two set A and B, construct its Cartesian product A x B.
8765 struct isl_set
*isl_set_product(struct isl_set
*set1
, struct isl_set
*set2
)
8767 return isl_map_range_product(set1
, set2
);
8770 __isl_give isl_set
*isl_set_flat_product(__isl_take isl_set
*set1
,
8771 __isl_take isl_set
*set2
)
8773 return isl_map_flat_range_product(set1
, set2
);
8776 /* Given two maps A -> B and C -> D, construct a map [A -> C] -> (B * D)
8778 static __isl_give isl_map
*map_domain_product_aligned(__isl_take isl_map
*map1
,
8779 __isl_take isl_map
*map2
)
8781 return map_product(map1
, map2
, &isl_space_domain_product
,
8782 &isl_basic_map_domain_product
);
8785 /* Given two maps A -> B and C -> D, construct a map (A * C) -> [B -> D]
8787 static __isl_give isl_map
*map_range_product_aligned(__isl_take isl_map
*map1
,
8788 __isl_take isl_map
*map2
)
8790 return map_product(map1
, map2
, &isl_space_range_product
,
8791 &isl_basic_map_range_product
);
8794 __isl_give isl_map
*isl_map_domain_product(__isl_take isl_map
*map1
,
8795 __isl_take isl_map
*map2
)
8797 return isl_map_align_params_map_map_and(map1
, map2
,
8798 &map_domain_product_aligned
);
8801 __isl_give isl_map
*isl_map_range_product(__isl_take isl_map
*map1
,
8802 __isl_take isl_map
*map2
)
8804 return isl_map_align_params_map_map_and(map1
, map2
,
8805 &map_range_product_aligned
);
8808 /* Given two maps A -> B and C -> D, construct a map (A, C) -> (B * D)
8810 __isl_give isl_map
*isl_map_flat_domain_product(__isl_take isl_map
*map1
,
8811 __isl_take isl_map
*map2
)
8815 prod
= isl_map_domain_product(map1
, map2
);
8816 prod
= isl_map_flatten_domain(prod
);
8820 /* Given two maps A -> B and C -> D, construct a map (A * C) -> (B, D)
8822 __isl_give isl_map
*isl_map_flat_range_product(__isl_take isl_map
*map1
,
8823 __isl_take isl_map
*map2
)
8827 prod
= isl_map_range_product(map1
, map2
);
8828 prod
= isl_map_flatten_range(prod
);
8832 uint32_t isl_basic_map_get_hash(__isl_keep isl_basic_map
*bmap
)
8835 uint32_t hash
= isl_hash_init();
8840 bmap
= isl_basic_map_copy(bmap
);
8841 bmap
= isl_basic_map_normalize(bmap
);
8844 total
= isl_basic_map_total_dim(bmap
);
8845 isl_hash_byte(hash
, bmap
->n_eq
& 0xFF);
8846 for (i
= 0; i
< bmap
->n_eq
; ++i
) {
8848 c_hash
= isl_seq_get_hash(bmap
->eq
[i
], 1 + total
);
8849 isl_hash_hash(hash
, c_hash
);
8851 isl_hash_byte(hash
, bmap
->n_ineq
& 0xFF);
8852 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
8854 c_hash
= isl_seq_get_hash(bmap
->ineq
[i
], 1 + total
);
8855 isl_hash_hash(hash
, c_hash
);
8857 isl_hash_byte(hash
, bmap
->n_div
& 0xFF);
8858 for (i
= 0; i
< bmap
->n_div
; ++i
) {
8860 if (isl_int_is_zero(bmap
->div
[i
][0]))
8862 isl_hash_byte(hash
, i
& 0xFF);
8863 c_hash
= isl_seq_get_hash(bmap
->div
[i
], 1 + 1 + total
);
8864 isl_hash_hash(hash
, c_hash
);
8866 isl_basic_map_free(bmap
);
8870 uint32_t isl_basic_set_get_hash(__isl_keep isl_basic_set
*bset
)
8872 return isl_basic_map_get_hash((isl_basic_map
*)bset
);
8875 uint32_t isl_map_get_hash(__isl_keep isl_map
*map
)
8882 map
= isl_map_copy(map
);
8883 map
= isl_map_normalize(map
);
8887 hash
= isl_hash_init();
8888 for (i
= 0; i
< map
->n
; ++i
) {
8890 bmap_hash
= isl_basic_map_get_hash(map
->p
[i
]);
8891 isl_hash_hash(hash
, bmap_hash
);
8899 uint32_t isl_set_get_hash(__isl_keep isl_set
*set
)
8901 return isl_map_get_hash((isl_map
*)set
);
8904 /* Check if the value for dimension dim is completely determined
8905 * by the values of the other parameters and variables.
8906 * That is, check if dimension dim is involved in an equality.
8908 int isl_basic_set_dim_is_unique(struct isl_basic_set
*bset
, unsigned dim
)
8915 nparam
= isl_basic_set_n_param(bset
);
8916 for (i
= 0; i
< bset
->n_eq
; ++i
)
8917 if (!isl_int_is_zero(bset
->eq
[i
][1 + nparam
+ dim
]))
8922 /* Check if the value for dimension dim is completely determined
8923 * by the values of the other parameters and variables.
8924 * That is, check if dimension dim is involved in an equality
8925 * for each of the subsets.
8927 int isl_set_dim_is_unique(struct isl_set
*set
, unsigned dim
)
8933 for (i
= 0; i
< set
->n
; ++i
) {
8935 unique
= isl_basic_set_dim_is_unique(set
->p
[i
], dim
);
8942 int isl_set_n_basic_set(__isl_keep isl_set
*set
)
8944 return set
? set
->n
: 0;
8947 int isl_map_foreach_basic_map(__isl_keep isl_map
*map
,
8948 int (*fn
)(__isl_take isl_basic_map
*bmap
, void *user
), void *user
)
8955 for (i
= 0; i
< map
->n
; ++i
)
8956 if (fn(isl_basic_map_copy(map
->p
[i
]), user
) < 0)
8962 int isl_set_foreach_basic_set(__isl_keep isl_set
*set
,
8963 int (*fn
)(__isl_take isl_basic_set
*bset
, void *user
), void *user
)
8970 for (i
= 0; i
< set
->n
; ++i
)
8971 if (fn(isl_basic_set_copy(set
->p
[i
]), user
) < 0)
8977 __isl_give isl_basic_set
*isl_basic_set_lift(__isl_take isl_basic_set
*bset
)
8984 bset
= isl_basic_set_cow(bset
);
8988 dim
= isl_basic_set_get_space(bset
);
8989 dim
= isl_space_lift(dim
, bset
->n_div
);
8992 isl_space_free(bset
->dim
);
8994 bset
->extra
-= bset
->n_div
;
8997 bset
= isl_basic_set_finalize(bset
);
9001 isl_basic_set_free(bset
);
9005 __isl_give isl_set
*isl_set_lift(__isl_take isl_set
*set
)
9011 set
= isl_set_align_divs(set
);
9016 set
= isl_set_cow(set
);
9020 n_div
= set
->p
[0]->n_div
;
9021 dim
= isl_set_get_space(set
);
9022 dim
= isl_space_lift(dim
, n_div
);
9025 isl_space_free(set
->dim
);
9028 for (i
= 0; i
< set
->n
; ++i
) {
9029 set
->p
[i
] = isl_basic_set_lift(set
->p
[i
]);
9040 __isl_give isl_map
*isl_set_lifting(__isl_take isl_set
*set
)
9043 struct isl_basic_map
*bmap
;
9050 set
= isl_set_align_divs(set
);
9055 dim
= isl_set_get_space(set
);
9056 if (set
->n
== 0 || set
->p
[0]->n_div
== 0) {
9058 return isl_map_identity(isl_space_map_from_set(dim
));
9061 n_div
= set
->p
[0]->n_div
;
9062 dim
= isl_space_map_from_set(dim
);
9063 n_param
= isl_space_dim(dim
, isl_dim_param
);
9064 n_set
= isl_space_dim(dim
, isl_dim_in
);
9065 dim
= isl_space_extend(dim
, n_param
, n_set
, n_set
+ n_div
);
9066 bmap
= isl_basic_map_alloc_space(dim
, 0, n_set
, 2 * n_div
);
9067 for (i
= 0; i
< n_set
; ++i
)
9068 bmap
= var_equal(bmap
, i
);
9070 total
= n_param
+ n_set
+ n_set
+ n_div
;
9071 for (i
= 0; i
< n_div
; ++i
) {
9072 k
= isl_basic_map_alloc_inequality(bmap
);
9075 isl_seq_cpy(bmap
->ineq
[k
], set
->p
[0]->div
[i
]+1, 1+n_param
);
9076 isl_seq_clr(bmap
->ineq
[k
]+1+n_param
, n_set
);
9077 isl_seq_cpy(bmap
->ineq
[k
]+1+n_param
+n_set
,
9078 set
->p
[0]->div
[i
]+1+1+n_param
, n_set
+ n_div
);
9079 isl_int_neg(bmap
->ineq
[k
][1+n_param
+n_set
+n_set
+i
],
9080 set
->p
[0]->div
[i
][0]);
9082 l
= isl_basic_map_alloc_inequality(bmap
);
9085 isl_seq_neg(bmap
->ineq
[l
], bmap
->ineq
[k
], 1 + total
);
9086 isl_int_add(bmap
->ineq
[l
][0], bmap
->ineq
[l
][0],
9087 set
->p
[0]->div
[i
][0]);
9088 isl_int_sub_ui(bmap
->ineq
[l
][0], bmap
->ineq
[l
][0], 1);
9092 bmap
= isl_basic_map_simplify(bmap
);
9093 bmap
= isl_basic_map_finalize(bmap
);
9094 return isl_map_from_basic_map(bmap
);
9097 isl_basic_map_free(bmap
);
9101 int isl_basic_set_size(__isl_keep isl_basic_set
*bset
)
9109 dim
= isl_basic_set_total_dim(bset
);
9110 size
+= bset
->n_eq
* (1 + dim
);
9111 size
+= bset
->n_ineq
* (1 + dim
);
9112 size
+= bset
->n_div
* (2 + dim
);
9117 int isl_set_size(__isl_keep isl_set
*set
)
9125 for (i
= 0; i
< set
->n
; ++i
)
9126 size
+= isl_basic_set_size(set
->p
[i
]);
9131 /* Check if there is any lower bound (if lower == 0) and/or upper
9132 * bound (if upper == 0) on the specified dim.
9134 static int basic_map_dim_is_bounded(__isl_keep isl_basic_map
*bmap
,
9135 enum isl_dim_type type
, unsigned pos
, int lower
, int upper
)
9142 isl_assert(bmap
->ctx
, pos
< isl_basic_map_dim(bmap
, type
), return -1);
9144 pos
+= isl_basic_map_offset(bmap
, type
);
9146 for (i
= 0; i
< bmap
->n_div
; ++i
) {
9147 if (isl_int_is_zero(bmap
->div
[i
][0]))
9149 if (!isl_int_is_zero(bmap
->div
[i
][1 + pos
]))
9153 for (i
= 0; i
< bmap
->n_eq
; ++i
)
9154 if (!isl_int_is_zero(bmap
->eq
[i
][pos
]))
9157 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
9158 int sgn
= isl_int_sgn(bmap
->ineq
[i
][pos
]);
9165 return lower
&& upper
;
9168 int isl_basic_map_dim_is_bounded(__isl_keep isl_basic_map
*bmap
,
9169 enum isl_dim_type type
, unsigned pos
)
9171 return basic_map_dim_is_bounded(bmap
, type
, pos
, 0, 0);
9174 int isl_basic_map_dim_has_lower_bound(__isl_keep isl_basic_map
*bmap
,
9175 enum isl_dim_type type
, unsigned pos
)
9177 return basic_map_dim_is_bounded(bmap
, type
, pos
, 0, 1);
9180 int isl_basic_map_dim_has_upper_bound(__isl_keep isl_basic_map
*bmap
,
9181 enum isl_dim_type type
, unsigned pos
)
9183 return basic_map_dim_is_bounded(bmap
, type
, pos
, 1, 0);
9186 int isl_map_dim_is_bounded(__isl_keep isl_map
*map
,
9187 enum isl_dim_type type
, unsigned pos
)
9194 for (i
= 0; i
< map
->n
; ++i
) {
9196 bounded
= isl_basic_map_dim_is_bounded(map
->p
[i
], type
, pos
);
9197 if (bounded
< 0 || !bounded
)
9204 /* Return 1 if the specified dim is involved in both an upper bound
9205 * and a lower bound.
9207 int isl_set_dim_is_bounded(__isl_keep isl_set
*set
,
9208 enum isl_dim_type type
, unsigned pos
)
9210 return isl_map_dim_is_bounded((isl_map
*)set
, type
, pos
);
9213 /* Does "map" have a bound (according to "fn") for any of its basic maps?
9215 static int has_any_bound(__isl_keep isl_map
*map
,
9216 enum isl_dim_type type
, unsigned pos
,
9217 int (*fn
)(__isl_keep isl_basic_map
*bmap
,
9218 enum isl_dim_type type
, unsigned pos
))
9225 for (i
= 0; i
< map
->n
; ++i
) {
9227 bounded
= fn(map
->p
[i
], type
, pos
);
9228 if (bounded
< 0 || bounded
)
9235 /* Return 1 if the specified dim is involved in any lower bound.
9237 int isl_set_dim_has_any_lower_bound(__isl_keep isl_set
*set
,
9238 enum isl_dim_type type
, unsigned pos
)
9240 return has_any_bound(set
, type
, pos
,
9241 &isl_basic_map_dim_has_lower_bound
);
9244 /* Return 1 if the specified dim is involved in any upper bound.
9246 int isl_set_dim_has_any_upper_bound(__isl_keep isl_set
*set
,
9247 enum isl_dim_type type
, unsigned pos
)
9249 return has_any_bound(set
, type
, pos
,
9250 &isl_basic_map_dim_has_upper_bound
);
9253 /* Does "map" have a bound (according to "fn") for all of its basic maps?
9255 static int has_bound(__isl_keep isl_map
*map
,
9256 enum isl_dim_type type
, unsigned pos
,
9257 int (*fn
)(__isl_keep isl_basic_map
*bmap
,
9258 enum isl_dim_type type
, unsigned pos
))
9265 for (i
= 0; i
< map
->n
; ++i
) {
9267 bounded
= fn(map
->p
[i
], type
, pos
);
9268 if (bounded
< 0 || !bounded
)
9275 /* Return 1 if the specified dim has a lower bound (in each of its basic sets).
9277 int isl_set_dim_has_lower_bound(__isl_keep isl_set
*set
,
9278 enum isl_dim_type type
, unsigned pos
)
9280 return has_bound(set
, type
, pos
, &isl_basic_map_dim_has_lower_bound
);
9283 /* Return 1 if the specified dim has an upper bound (in each of its basic sets).
9285 int isl_set_dim_has_upper_bound(__isl_keep isl_set
*set
,
9286 enum isl_dim_type type
, unsigned pos
)
9288 return has_bound(set
, type
, pos
, &isl_basic_map_dim_has_upper_bound
);
9291 /* For each of the "n" variables starting at "first", determine
9292 * the sign of the variable and put the results in the first "n"
9293 * elements of the array "signs".
9295 * 1 means that the variable is non-negative
9296 * -1 means that the variable is non-positive
9297 * 0 means the variable attains both positive and negative values.
9299 int isl_basic_set_vars_get_sign(__isl_keep isl_basic_set
*bset
,
9300 unsigned first
, unsigned n
, int *signs
)
9302 isl_vec
*bound
= NULL
;
9303 struct isl_tab
*tab
= NULL
;
9304 struct isl_tab_undo
*snap
;
9307 if (!bset
|| !signs
)
9310 bound
= isl_vec_alloc(bset
->ctx
, 1 + isl_basic_set_total_dim(bset
));
9311 tab
= isl_tab_from_basic_set(bset
, 0);
9315 isl_seq_clr(bound
->el
, bound
->size
);
9316 isl_int_set_si(bound
->el
[0], -1);
9318 snap
= isl_tab_snap(tab
);
9319 for (i
= 0; i
< n
; ++i
) {
9322 isl_int_set_si(bound
->el
[1 + first
+ i
], -1);
9323 if (isl_tab_add_ineq(tab
, bound
->el
) < 0)
9326 isl_int_set_si(bound
->el
[1 + first
+ i
], 0);
9327 if (isl_tab_rollback(tab
, snap
) < 0)
9335 isl_int_set_si(bound
->el
[1 + first
+ i
], 1);
9336 if (isl_tab_add_ineq(tab
, bound
->el
) < 0)
9339 isl_int_set_si(bound
->el
[1 + first
+ i
], 0);
9340 if (isl_tab_rollback(tab
, snap
) < 0)
9343 signs
[i
] = empty
? -1 : 0;
9347 isl_vec_free(bound
);
9351 isl_vec_free(bound
);
9355 int isl_basic_set_dims_get_sign(__isl_keep isl_basic_set
*bset
,
9356 enum isl_dim_type type
, unsigned first
, unsigned n
, int *signs
)
9358 if (!bset
|| !signs
)
9360 isl_assert(bset
->ctx
, first
+ n
<= isl_basic_set_dim(bset
, type
),
9363 first
+= pos(bset
->dim
, type
) - 1;
9364 return isl_basic_set_vars_get_sign(bset
, first
, n
, signs
);
9367 /* Check if the given basic map is obviously single-valued.
9368 * In particular, for each output dimension, check that there is
9369 * an equality that defines the output dimension in terms of
9370 * earlier dimensions.
9372 int isl_basic_map_plain_is_single_valued(__isl_keep isl_basic_map
*bmap
)
9382 total
= 1 + isl_basic_map_total_dim(bmap
);
9383 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
9384 o_out
= isl_basic_map_offset(bmap
, isl_dim_out
);
9386 for (i
= 0; i
< n_out
; ++i
) {
9387 for (j
= 0; j
< bmap
->n_eq
; ++j
) {
9388 if (isl_int_is_zero(bmap
->eq
[j
][o_out
+ i
]))
9390 if (isl_seq_first_non_zero(bmap
->eq
[j
] + o_out
+ i
+ 1,
9391 total
- (o_out
+ i
+ 1)) == -1)
9394 if (j
>= bmap
->n_eq
)
9401 /* Check if the given basic map is single-valued.
9406 * and check if the result is a subset of the identity mapping.
9408 int isl_basic_map_is_single_valued(__isl_keep isl_basic_map
*bmap
)
9411 isl_basic_map
*test
;
9415 sv
= isl_basic_map_plain_is_single_valued(bmap
);
9419 test
= isl_basic_map_reverse(isl_basic_map_copy(bmap
));
9420 test
= isl_basic_map_apply_range(test
, isl_basic_map_copy(bmap
));
9422 space
= isl_basic_map_get_space(bmap
);
9423 space
= isl_space_map_from_set(isl_space_range(space
));
9424 id
= isl_basic_map_identity(space
);
9426 sv
= isl_basic_map_is_subset(test
, id
);
9428 isl_basic_map_free(test
);
9429 isl_basic_map_free(id
);
9434 /* Check if the given map is obviously single-valued.
9436 int isl_map_plain_is_single_valued(__isl_keep isl_map
*map
)
9445 return isl_basic_map_plain_is_single_valued(map
->p
[0]);
9448 /* Check if the given map is single-valued.
9453 * and check if the result is a subset of the identity mapping.
9455 int isl_map_is_single_valued(__isl_keep isl_map
*map
)
9462 sv
= isl_map_plain_is_single_valued(map
);
9466 test
= isl_map_reverse(isl_map_copy(map
));
9467 test
= isl_map_apply_range(test
, isl_map_copy(map
));
9469 dim
= isl_space_map_from_set(isl_space_range(isl_map_get_space(map
)));
9470 id
= isl_map_identity(dim
);
9472 sv
= isl_map_is_subset(test
, id
);
9480 int isl_map_is_injective(__isl_keep isl_map
*map
)
9484 map
= isl_map_copy(map
);
9485 map
= isl_map_reverse(map
);
9486 in
= isl_map_is_single_valued(map
);
9492 /* Check if the given map is obviously injective.
9494 int isl_map_plain_is_injective(__isl_keep isl_map
*map
)
9498 map
= isl_map_copy(map
);
9499 map
= isl_map_reverse(map
);
9500 in
= isl_map_plain_is_single_valued(map
);
9506 int isl_map_is_bijective(__isl_keep isl_map
*map
)
9510 sv
= isl_map_is_single_valued(map
);
9514 return isl_map_is_injective(map
);
9517 int isl_set_is_singleton(__isl_keep isl_set
*set
)
9519 return isl_map_is_single_valued((isl_map
*)set
);
9522 int isl_map_is_translation(__isl_keep isl_map
*map
)
9527 delta
= isl_map_deltas(isl_map_copy(map
));
9528 ok
= isl_set_is_singleton(delta
);
9529 isl_set_free(delta
);
9534 static int unique(isl_int
*p
, unsigned pos
, unsigned len
)
9536 if (isl_seq_first_non_zero(p
, pos
) != -1)
9538 if (isl_seq_first_non_zero(p
+ pos
+ 1, len
- pos
- 1) != -1)
9543 int isl_basic_set_is_box(__isl_keep isl_basic_set
*bset
)
9552 if (isl_basic_set_dim(bset
, isl_dim_div
) != 0)
9555 nvar
= isl_basic_set_dim(bset
, isl_dim_set
);
9556 ovar
= isl_space_offset(bset
->dim
, isl_dim_set
);
9557 for (j
= 0; j
< nvar
; ++j
) {
9558 int lower
= 0, upper
= 0;
9559 for (i
= 0; i
< bset
->n_eq
; ++i
) {
9560 if (isl_int_is_zero(bset
->eq
[i
][1 + ovar
+ j
]))
9562 if (!unique(bset
->eq
[i
] + 1 + ovar
, j
, nvar
))
9568 for (i
= 0; i
< bset
->n_ineq
; ++i
) {
9569 if (isl_int_is_zero(bset
->ineq
[i
][1 + ovar
+ j
]))
9571 if (!unique(bset
->ineq
[i
] + 1 + ovar
, j
, nvar
))
9573 if (isl_int_is_pos(bset
->ineq
[i
][1 + ovar
+ j
]))
9578 if (!lower
|| !upper
)
9585 int isl_set_is_box(__isl_keep isl_set
*set
)
9592 return isl_basic_set_is_box(set
->p
[0]);
9595 int isl_basic_set_is_wrapping(__isl_keep isl_basic_set
*bset
)
9600 return isl_space_is_wrapping(bset
->dim
);
9603 int isl_set_is_wrapping(__isl_keep isl_set
*set
)
9608 return isl_space_is_wrapping(set
->dim
);
9611 __isl_give isl_basic_set
*isl_basic_map_wrap(__isl_take isl_basic_map
*bmap
)
9613 bmap
= isl_basic_map_cow(bmap
);
9617 bmap
->dim
= isl_space_wrap(bmap
->dim
);
9621 bmap
= isl_basic_map_finalize(bmap
);
9623 return (isl_basic_set
*)bmap
;
9625 isl_basic_map_free(bmap
);
9629 __isl_give isl_set
*isl_map_wrap(__isl_take isl_map
*map
)
9633 map
= isl_map_cow(map
);
9637 for (i
= 0; i
< map
->n
; ++i
) {
9638 map
->p
[i
] = (isl_basic_map
*)isl_basic_map_wrap(map
->p
[i
]);
9642 map
->dim
= isl_space_wrap(map
->dim
);
9646 return (isl_set
*)map
;
9652 __isl_give isl_basic_map
*isl_basic_set_unwrap(__isl_take isl_basic_set
*bset
)
9654 bset
= isl_basic_set_cow(bset
);
9658 bset
->dim
= isl_space_unwrap(bset
->dim
);
9662 bset
= isl_basic_set_finalize(bset
);
9664 return (isl_basic_map
*)bset
;
9666 isl_basic_set_free(bset
);
9670 __isl_give isl_map
*isl_set_unwrap(__isl_take isl_set
*set
)
9677 if (!isl_set_is_wrapping(set
))
9678 isl_die(set
->ctx
, isl_error_invalid
, "not a wrapping set",
9681 set
= isl_set_cow(set
);
9685 for (i
= 0; i
< set
->n
; ++i
) {
9686 set
->p
[i
] = (isl_basic_set
*)isl_basic_set_unwrap(set
->p
[i
]);
9691 set
->dim
= isl_space_unwrap(set
->dim
);
9695 return (isl_map
*)set
;
9701 __isl_give isl_basic_map
*isl_basic_map_reset(__isl_take isl_basic_map
*bmap
,
9702 enum isl_dim_type type
)
9707 if (!isl_space_is_named_or_nested(bmap
->dim
, type
))
9710 bmap
= isl_basic_map_cow(bmap
);
9714 bmap
->dim
= isl_space_reset(bmap
->dim
, type
);
9718 bmap
= isl_basic_map_finalize(bmap
);
9722 isl_basic_map_free(bmap
);
9726 __isl_give isl_map
*isl_map_reset(__isl_take isl_map
*map
,
9727 enum isl_dim_type type
)
9734 if (!isl_space_is_named_or_nested(map
->dim
, type
))
9737 map
= isl_map_cow(map
);
9741 for (i
= 0; i
< map
->n
; ++i
) {
9742 map
->p
[i
] = isl_basic_map_reset(map
->p
[i
], type
);
9746 map
->dim
= isl_space_reset(map
->dim
, type
);
9756 __isl_give isl_basic_map
*isl_basic_map_flatten(__isl_take isl_basic_map
*bmap
)
9761 if (!bmap
->dim
->nested
[0] && !bmap
->dim
->nested
[1])
9764 bmap
= isl_basic_map_cow(bmap
);
9768 bmap
->dim
= isl_space_flatten(bmap
->dim
);
9772 bmap
= isl_basic_map_finalize(bmap
);
9776 isl_basic_map_free(bmap
);
9780 __isl_give isl_basic_set
*isl_basic_set_flatten(__isl_take isl_basic_set
*bset
)
9782 return (isl_basic_set
*)isl_basic_map_flatten((isl_basic_map
*)bset
);
9785 __isl_give isl_basic_map
*isl_basic_map_flatten_domain(
9786 __isl_take isl_basic_map
*bmap
)
9791 if (!bmap
->dim
->nested
[0])
9794 bmap
= isl_basic_map_cow(bmap
);
9798 bmap
->dim
= isl_space_flatten_domain(bmap
->dim
);
9802 bmap
= isl_basic_map_finalize(bmap
);
9806 isl_basic_map_free(bmap
);
9810 __isl_give isl_basic_map
*isl_basic_map_flatten_range(
9811 __isl_take isl_basic_map
*bmap
)
9816 if (!bmap
->dim
->nested
[1])
9819 bmap
= isl_basic_map_cow(bmap
);
9823 bmap
->dim
= isl_space_flatten_range(bmap
->dim
);
9827 bmap
= isl_basic_map_finalize(bmap
);
9831 isl_basic_map_free(bmap
);
9835 __isl_give isl_map
*isl_map_flatten(__isl_take isl_map
*map
)
9842 if (!map
->dim
->nested
[0] && !map
->dim
->nested
[1])
9845 map
= isl_map_cow(map
);
9849 for (i
= 0; i
< map
->n
; ++i
) {
9850 map
->p
[i
] = isl_basic_map_flatten(map
->p
[i
]);
9854 map
->dim
= isl_space_flatten(map
->dim
);
9864 __isl_give isl_set
*isl_set_flatten(__isl_take isl_set
*set
)
9866 return (isl_set
*)isl_map_flatten((isl_map
*)set
);
9869 __isl_give isl_map
*isl_set_flatten_map(__isl_take isl_set
*set
)
9871 isl_space
*dim
, *flat_dim
;
9874 dim
= isl_set_get_space(set
);
9875 flat_dim
= isl_space_flatten(isl_space_copy(dim
));
9876 map
= isl_map_identity(isl_space_join(isl_space_reverse(dim
), flat_dim
));
9877 map
= isl_map_intersect_domain(map
, set
);
9882 __isl_give isl_map
*isl_map_flatten_domain(__isl_take isl_map
*map
)
9889 if (!map
->dim
->nested
[0])
9892 map
= isl_map_cow(map
);
9896 for (i
= 0; i
< map
->n
; ++i
) {
9897 map
->p
[i
] = isl_basic_map_flatten_domain(map
->p
[i
]);
9901 map
->dim
= isl_space_flatten_domain(map
->dim
);
9911 __isl_give isl_map
*isl_map_flatten_range(__isl_take isl_map
*map
)
9918 if (!map
->dim
->nested
[1])
9921 map
= isl_map_cow(map
);
9925 for (i
= 0; i
< map
->n
; ++i
) {
9926 map
->p
[i
] = isl_basic_map_flatten_range(map
->p
[i
]);
9930 map
->dim
= isl_space_flatten_range(map
->dim
);
9940 /* Reorder the dimensions of "bmap" according to the given dim_map
9941 * and set the dimension specification to "dim".
9943 __isl_give isl_basic_map
*isl_basic_map_realign(__isl_take isl_basic_map
*bmap
,
9944 __isl_take isl_space
*dim
, __isl_take
struct isl_dim_map
*dim_map
)
9949 bmap
= isl_basic_map_cow(bmap
);
9950 if (!bmap
|| !dim
|| !dim_map
)
9953 flags
= bmap
->flags
;
9954 ISL_FL_CLR(flags
, ISL_BASIC_MAP_FINAL
);
9955 ISL_FL_CLR(flags
, ISL_BASIC_MAP_NORMALIZED
);
9956 ISL_FL_CLR(flags
, ISL_BASIC_MAP_NORMALIZED_DIVS
);
9957 res
= isl_basic_map_alloc_space(dim
,
9958 bmap
->n_div
, bmap
->n_eq
, bmap
->n_ineq
);
9959 res
= isl_basic_map_add_constraints_dim_map(res
, bmap
, dim_map
);
9962 res
= isl_basic_map_finalize(res
);
9966 isl_basic_map_free(bmap
);
9967 isl_space_free(dim
);
9971 /* Reorder the dimensions of "map" according to given reordering.
9973 __isl_give isl_map
*isl_map_realign(__isl_take isl_map
*map
,
9974 __isl_take isl_reordering
*r
)
9977 struct isl_dim_map
*dim_map
;
9979 map
= isl_map_cow(map
);
9980 dim_map
= isl_dim_map_from_reordering(r
);
9981 if (!map
|| !r
|| !dim_map
)
9984 for (i
= 0; i
< map
->n
; ++i
) {
9985 struct isl_dim_map
*dim_map_i
;
9987 dim_map_i
= isl_dim_map_extend(dim_map
, map
->p
[i
]);
9989 map
->p
[i
] = isl_basic_map_realign(map
->p
[i
],
9990 isl_space_copy(r
->dim
), dim_map_i
);
9996 map
= isl_map_reset_space(map
, isl_space_copy(r
->dim
));
9998 isl_reordering_free(r
);
10004 isl_reordering_free(r
);
10008 __isl_give isl_set
*isl_set_realign(__isl_take isl_set
*set
,
10009 __isl_take isl_reordering
*r
)
10011 return (isl_set
*)isl_map_realign((isl_map
*)set
, r
);
10014 __isl_give isl_map
*isl_map_align_params(__isl_take isl_map
*map
,
10015 __isl_take isl_space
*model
)
10019 if (!map
|| !model
)
10022 ctx
= isl_space_get_ctx(model
);
10023 if (!isl_space_has_named_params(model
))
10024 isl_die(ctx
, isl_error_invalid
,
10025 "model has unnamed parameters", goto error
);
10026 if (!isl_space_has_named_params(map
->dim
))
10027 isl_die(ctx
, isl_error_invalid
,
10028 "relation has unnamed parameters", goto error
);
10029 if (!isl_space_match(map
->dim
, isl_dim_param
, model
, isl_dim_param
)) {
10030 isl_reordering
*exp
;
10032 model
= isl_space_drop_dims(model
, isl_dim_in
,
10033 0, isl_space_dim(model
, isl_dim_in
));
10034 model
= isl_space_drop_dims(model
, isl_dim_out
,
10035 0, isl_space_dim(model
, isl_dim_out
));
10036 exp
= isl_parameter_alignment_reordering(map
->dim
, model
);
10037 exp
= isl_reordering_extend_space(exp
, isl_map_get_space(map
));
10038 map
= isl_map_realign(map
, exp
);
10041 isl_space_free(model
);
10044 isl_space_free(model
);
10049 __isl_give isl_set
*isl_set_align_params(__isl_take isl_set
*set
,
10050 __isl_take isl_space
*model
)
10052 return isl_map_align_params(set
, model
);
10055 /* Align the parameters of "bmap" to those of "model", introducing
10056 * additional parameters if needed.
10058 __isl_give isl_basic_map
*isl_basic_map_align_params(
10059 __isl_take isl_basic_map
*bmap
, __isl_take isl_space
*model
)
10063 if (!bmap
|| !model
)
10066 ctx
= isl_space_get_ctx(model
);
10067 if (!isl_space_has_named_params(model
))
10068 isl_die(ctx
, isl_error_invalid
,
10069 "model has unnamed parameters", goto error
);
10070 if (!isl_space_has_named_params(bmap
->dim
))
10071 isl_die(ctx
, isl_error_invalid
,
10072 "relation has unnamed parameters", goto error
);
10073 if (!isl_space_match(bmap
->dim
, isl_dim_param
, model
, isl_dim_param
)) {
10074 isl_reordering
*exp
;
10075 struct isl_dim_map
*dim_map
;
10077 model
= isl_space_drop_dims(model
, isl_dim_in
,
10078 0, isl_space_dim(model
, isl_dim_in
));
10079 model
= isl_space_drop_dims(model
, isl_dim_out
,
10080 0, isl_space_dim(model
, isl_dim_out
));
10081 exp
= isl_parameter_alignment_reordering(bmap
->dim
, model
);
10082 exp
= isl_reordering_extend_space(exp
,
10083 isl_basic_map_get_space(bmap
));
10084 dim_map
= isl_dim_map_from_reordering(exp
);
10085 bmap
= isl_basic_map_realign(bmap
,
10086 exp
? isl_space_copy(exp
->dim
) : NULL
,
10087 isl_dim_map_extend(dim_map
, bmap
));
10088 isl_reordering_free(exp
);
10092 isl_space_free(model
);
10095 isl_space_free(model
);
10096 isl_basic_map_free(bmap
);
10100 /* Align the parameters of "bset" to those of "model", introducing
10101 * additional parameters if needed.
10103 __isl_give isl_basic_set
*isl_basic_set_align_params(
10104 __isl_take isl_basic_set
*bset
, __isl_take isl_space
*model
)
10106 return isl_basic_map_align_params(bset
, model
);
10109 __isl_give isl_mat
*isl_basic_map_equalities_matrix(
10110 __isl_keep isl_basic_map
*bmap
, enum isl_dim_type c1
,
10111 enum isl_dim_type c2
, enum isl_dim_type c3
,
10112 enum isl_dim_type c4
, enum isl_dim_type c5
)
10114 enum isl_dim_type c
[5] = { c1
, c2
, c3
, c4
, c5
};
10115 struct isl_mat
*mat
;
10121 mat
= isl_mat_alloc(bmap
->ctx
, bmap
->n_eq
,
10122 isl_basic_map_total_dim(bmap
) + 1);
10125 for (i
= 0; i
< bmap
->n_eq
; ++i
)
10126 for (j
= 0, pos
= 0; j
< 5; ++j
) {
10127 int off
= isl_basic_map_offset(bmap
, c
[j
]);
10128 for (k
= 0; k
< isl_basic_map_dim(bmap
, c
[j
]); ++k
) {
10129 isl_int_set(mat
->row
[i
][pos
],
10130 bmap
->eq
[i
][off
+ k
]);
10138 __isl_give isl_mat
*isl_basic_map_inequalities_matrix(
10139 __isl_keep isl_basic_map
*bmap
, enum isl_dim_type c1
,
10140 enum isl_dim_type c2
, enum isl_dim_type c3
,
10141 enum isl_dim_type c4
, enum isl_dim_type c5
)
10143 enum isl_dim_type c
[5] = { c1
, c2
, c3
, c4
, c5
};
10144 struct isl_mat
*mat
;
10150 mat
= isl_mat_alloc(bmap
->ctx
, bmap
->n_ineq
,
10151 isl_basic_map_total_dim(bmap
) + 1);
10154 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
10155 for (j
= 0, pos
= 0; j
< 5; ++j
) {
10156 int off
= isl_basic_map_offset(bmap
, c
[j
]);
10157 for (k
= 0; k
< isl_basic_map_dim(bmap
, c
[j
]); ++k
) {
10158 isl_int_set(mat
->row
[i
][pos
],
10159 bmap
->ineq
[i
][off
+ k
]);
10167 __isl_give isl_basic_map
*isl_basic_map_from_constraint_matrices(
10168 __isl_take isl_space
*dim
,
10169 __isl_take isl_mat
*eq
, __isl_take isl_mat
*ineq
, enum isl_dim_type c1
,
10170 enum isl_dim_type c2
, enum isl_dim_type c3
,
10171 enum isl_dim_type c4
, enum isl_dim_type c5
)
10173 enum isl_dim_type c
[5] = { c1
, c2
, c3
, c4
, c5
};
10174 isl_basic_map
*bmap
;
10180 if (!dim
|| !eq
|| !ineq
)
10183 if (eq
->n_col
!= ineq
->n_col
)
10184 isl_die(dim
->ctx
, isl_error_invalid
,
10185 "equalities and inequalities matrices should have "
10186 "same number of columns", goto error
);
10188 total
= 1 + isl_space_dim(dim
, isl_dim_all
);
10190 if (eq
->n_col
< total
)
10191 isl_die(dim
->ctx
, isl_error_invalid
,
10192 "number of columns too small", goto error
);
10194 extra
= eq
->n_col
- total
;
10196 bmap
= isl_basic_map_alloc_space(isl_space_copy(dim
), extra
,
10197 eq
->n_row
, ineq
->n_row
);
10200 for (i
= 0; i
< extra
; ++i
) {
10201 k
= isl_basic_map_alloc_div(bmap
);
10204 isl_int_set_si(bmap
->div
[k
][0], 0);
10206 for (i
= 0; i
< eq
->n_row
; ++i
) {
10207 l
= isl_basic_map_alloc_equality(bmap
);
10210 for (j
= 0, pos
= 0; j
< 5; ++j
) {
10211 int off
= isl_basic_map_offset(bmap
, c
[j
]);
10212 for (k
= 0; k
< isl_basic_map_dim(bmap
, c
[j
]); ++k
) {
10213 isl_int_set(bmap
->eq
[l
][off
+ k
],
10219 for (i
= 0; i
< ineq
->n_row
; ++i
) {
10220 l
= isl_basic_map_alloc_inequality(bmap
);
10223 for (j
= 0, pos
= 0; j
< 5; ++j
) {
10224 int off
= isl_basic_map_offset(bmap
, c
[j
]);
10225 for (k
= 0; k
< isl_basic_map_dim(bmap
, c
[j
]); ++k
) {
10226 isl_int_set(bmap
->ineq
[l
][off
+ k
],
10227 ineq
->row
[i
][pos
]);
10233 isl_space_free(dim
);
10235 isl_mat_free(ineq
);
10239 isl_space_free(dim
);
10241 isl_mat_free(ineq
);
10245 __isl_give isl_mat
*isl_basic_set_equalities_matrix(
10246 __isl_keep isl_basic_set
*bset
, enum isl_dim_type c1
,
10247 enum isl_dim_type c2
, enum isl_dim_type c3
, enum isl_dim_type c4
)
10249 return isl_basic_map_equalities_matrix((isl_basic_map
*)bset
,
10250 c1
, c2
, c3
, c4
, isl_dim_in
);
10253 __isl_give isl_mat
*isl_basic_set_inequalities_matrix(
10254 __isl_keep isl_basic_set
*bset
, enum isl_dim_type c1
,
10255 enum isl_dim_type c2
, enum isl_dim_type c3
, enum isl_dim_type c4
)
10257 return isl_basic_map_inequalities_matrix((isl_basic_map
*)bset
,
10258 c1
, c2
, c3
, c4
, isl_dim_in
);
10261 __isl_give isl_basic_set
*isl_basic_set_from_constraint_matrices(
10262 __isl_take isl_space
*dim
,
10263 __isl_take isl_mat
*eq
, __isl_take isl_mat
*ineq
, enum isl_dim_type c1
,
10264 enum isl_dim_type c2
, enum isl_dim_type c3
, enum isl_dim_type c4
)
10266 return (isl_basic_set
*)
10267 isl_basic_map_from_constraint_matrices(dim
, eq
, ineq
,
10268 c1
, c2
, c3
, c4
, isl_dim_in
);
10271 int isl_basic_map_can_zip(__isl_keep isl_basic_map
*bmap
)
10276 return isl_space_can_zip(bmap
->dim
);
10279 int isl_map_can_zip(__isl_keep isl_map
*map
)
10284 return isl_space_can_zip(map
->dim
);
10287 /* Given a basic map (A -> B) -> (C -> D), return the corresponding basic map
10288 * (A -> C) -> (B -> D).
10290 __isl_give isl_basic_map
*isl_basic_map_zip(__isl_take isl_basic_map
*bmap
)
10299 if (!isl_basic_map_can_zip(bmap
))
10300 isl_die(bmap
->ctx
, isl_error_invalid
,
10301 "basic map cannot be zipped", goto error
);
10302 pos
= isl_basic_map_offset(bmap
, isl_dim_in
) +
10303 isl_space_dim(bmap
->dim
->nested
[0], isl_dim_in
);
10304 n1
= isl_space_dim(bmap
->dim
->nested
[0], isl_dim_out
);
10305 n2
= isl_space_dim(bmap
->dim
->nested
[1], isl_dim_in
);
10306 bmap
= isl_basic_map_cow(bmap
);
10307 bmap
= isl_basic_map_swap_vars(bmap
, pos
, n1
, n2
);
10310 bmap
->dim
= isl_space_zip(bmap
->dim
);
10315 isl_basic_map_free(bmap
);
10319 /* Given a map (A -> B) -> (C -> D), return the corresponding map
10320 * (A -> C) -> (B -> D).
10322 __isl_give isl_map
*isl_map_zip(__isl_take isl_map
*map
)
10329 if (!isl_map_can_zip(map
))
10330 isl_die(map
->ctx
, isl_error_invalid
, "map cannot be zipped",
10333 map
= isl_map_cow(map
);
10337 for (i
= 0; i
< map
->n
; ++i
) {
10338 map
->p
[i
] = isl_basic_map_zip(map
->p
[i
]);
10343 map
->dim
= isl_space_zip(map
->dim
);
10353 /* Can we apply isl_basic_map_curry to "bmap"?
10354 * That is, does it have a nested relation in its domain?
10356 int isl_basic_map_can_curry(__isl_keep isl_basic_map
*bmap
)
10361 return isl_space_can_curry(bmap
->dim
);
10364 /* Can we apply isl_map_curry to "map"?
10365 * That is, does it have a nested relation in its domain?
10367 int isl_map_can_curry(__isl_keep isl_map
*map
)
10372 return isl_space_can_curry(map
->dim
);
10375 /* Given a basic map (A -> B) -> C, return the corresponding basic map
10378 __isl_give isl_basic_map
*isl_basic_map_curry(__isl_take isl_basic_map
*bmap
)
10384 if (!isl_basic_map_can_curry(bmap
))
10385 isl_die(bmap
->ctx
, isl_error_invalid
,
10386 "basic map cannot be curried", goto error
);
10387 bmap
->dim
= isl_space_curry(bmap
->dim
);
10392 isl_basic_map_free(bmap
);
10396 /* Given a map (A -> B) -> C, return the corresponding map
10399 __isl_give isl_map
*isl_map_curry(__isl_take isl_map
*map
)
10406 if (!isl_map_can_curry(map
))
10407 isl_die(map
->ctx
, isl_error_invalid
, "map cannot be curried",
10410 map
= isl_map_cow(map
);
10414 for (i
= 0; i
< map
->n
; ++i
) {
10415 map
->p
[i
] = isl_basic_map_curry(map
->p
[i
]);
10420 map
->dim
= isl_space_curry(map
->dim
);
10430 /* Can we apply isl_basic_map_uncurry to "bmap"?
10431 * That is, does it have a nested relation in its domain?
10433 int isl_basic_map_can_uncurry(__isl_keep isl_basic_map
*bmap
)
10438 return isl_space_can_uncurry(bmap
->dim
);
10441 /* Can we apply isl_map_uncurry to "map"?
10442 * That is, does it have a nested relation in its domain?
10444 int isl_map_can_uncurry(__isl_keep isl_map
*map
)
10449 return isl_space_can_uncurry(map
->dim
);
10452 /* Given a basic map A -> (B -> C), return the corresponding basic map
10455 __isl_give isl_basic_map
*isl_basic_map_uncurry(__isl_take isl_basic_map
*bmap
)
10461 if (!isl_basic_map_can_uncurry(bmap
))
10462 isl_die(bmap
->ctx
, isl_error_invalid
,
10463 "basic map cannot be uncurried",
10464 return isl_basic_map_free(bmap
));
10465 bmap
->dim
= isl_space_uncurry(bmap
->dim
);
10467 return isl_basic_map_free(bmap
);
10471 /* Given a map A -> (B -> C), return the corresponding map
10474 __isl_give isl_map
*isl_map_uncurry(__isl_take isl_map
*map
)
10481 if (!isl_map_can_uncurry(map
))
10482 isl_die(map
->ctx
, isl_error_invalid
, "map cannot be uncurried",
10483 return isl_map_free(map
));
10485 map
= isl_map_cow(map
);
10489 for (i
= 0; i
< map
->n
; ++i
) {
10490 map
->p
[i
] = isl_basic_map_uncurry(map
->p
[i
]);
10492 return isl_map_free(map
);
10495 map
->dim
= isl_space_uncurry(map
->dim
);
10497 return isl_map_free(map
);
10502 /* Construct a basic map mapping the domain of the affine expression
10503 * to a one-dimensional range prescribed by the affine expression.
10505 __isl_give isl_basic_map
*isl_basic_map_from_aff(__isl_take isl_aff
*aff
)
10509 isl_local_space
*ls
;
10510 isl_basic_map
*bmap
;
10515 ls
= isl_aff_get_local_space(aff
);
10516 bmap
= isl_basic_map_from_local_space(ls
);
10517 bmap
= isl_basic_map_extend_constraints(bmap
, 1, 0);
10518 k
= isl_basic_map_alloc_equality(bmap
);
10522 pos
= isl_basic_map_offset(bmap
, isl_dim_out
);
10523 isl_seq_cpy(bmap
->eq
[k
], aff
->v
->el
+ 1, pos
);
10524 isl_int_neg(bmap
->eq
[k
][pos
], aff
->v
->el
[0]);
10525 isl_seq_cpy(bmap
->eq
[k
] + pos
+ 1, aff
->v
->el
+ 1 + pos
,
10526 aff
->v
->size
- (pos
+ 1));
10529 bmap
= isl_basic_map_finalize(bmap
);
10533 isl_basic_map_free(bmap
);
10537 /* Construct a map mapping the domain of the affine expression
10538 * to a one-dimensional range prescribed by the affine expression.
10540 __isl_give isl_map
*isl_map_from_aff(__isl_take isl_aff
*aff
)
10542 isl_basic_map
*bmap
;
10544 bmap
= isl_basic_map_from_aff(aff
);
10545 return isl_map_from_basic_map(bmap
);
10548 /* Construct a basic map mapping the domain the multi-affine expression
10549 * to its range, with each dimension in the range equated to the
10550 * corresponding affine expression.
10552 __isl_give isl_basic_map
*isl_basic_map_from_multi_aff(
10553 __isl_take isl_multi_aff
*maff
)
10557 isl_basic_map
*bmap
;
10562 if (isl_space_dim(maff
->space
, isl_dim_out
) != maff
->n
)
10563 isl_die(isl_multi_aff_get_ctx(maff
), isl_error_internal
,
10564 "invalid space", return isl_multi_aff_free(maff
));
10566 space
= isl_space_domain(isl_multi_aff_get_space(maff
));
10567 bmap
= isl_basic_map_universe(isl_space_from_domain(space
));
10569 for (i
= 0; i
< maff
->n
; ++i
) {
10571 isl_basic_map
*bmap_i
;
10573 aff
= isl_aff_copy(maff
->p
[i
]);
10574 bmap_i
= isl_basic_map_from_aff(aff
);
10576 bmap
= isl_basic_map_flat_range_product(bmap
, bmap_i
);
10579 bmap
= isl_basic_map_reset_space(bmap
, isl_multi_aff_get_space(maff
));
10581 isl_multi_aff_free(maff
);
10585 /* Construct a map mapping the domain the multi-affine expression
10586 * to its range, with each dimension in the range equated to the
10587 * corresponding affine expression.
10589 __isl_give isl_map
*isl_map_from_multi_aff(__isl_take isl_multi_aff
*maff
)
10591 isl_basic_map
*bmap
;
10593 bmap
= isl_basic_map_from_multi_aff(maff
);
10594 return isl_map_from_basic_map(bmap
);
10597 /* Construct a basic map mapping a domain in the given space to
10598 * to an n-dimensional range, with n the number of elements in the list,
10599 * where each coordinate in the range is prescribed by the
10600 * corresponding affine expression.
10601 * The domains of all affine expressions in the list are assumed to match
10604 __isl_give isl_basic_map
*isl_basic_map_from_aff_list(
10605 __isl_take isl_space
*domain_dim
, __isl_take isl_aff_list
*list
)
10609 isl_basic_map
*bmap
;
10614 dim
= isl_space_from_domain(domain_dim
);
10615 bmap
= isl_basic_map_universe(dim
);
10617 for (i
= 0; i
< list
->n
; ++i
) {
10619 isl_basic_map
*bmap_i
;
10621 aff
= isl_aff_copy(list
->p
[i
]);
10622 bmap_i
= isl_basic_map_from_aff(aff
);
10624 bmap
= isl_basic_map_flat_range_product(bmap
, bmap_i
);
10627 isl_aff_list_free(list
);
10631 __isl_give isl_set
*isl_set_equate(__isl_take isl_set
*set
,
10632 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
10634 return isl_map_equate(set
, type1
, pos1
, type2
, pos2
);
10637 /* Construct a basic map where the given dimensions are equal to each other.
10639 static __isl_give isl_basic_map
*equator(__isl_take isl_space
*space
,
10640 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
10642 isl_basic_map
*bmap
= NULL
;
10648 if (pos1
>= isl_space_dim(space
, type1
))
10649 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
10650 "index out of bounds", goto error
);
10651 if (pos2
>= isl_space_dim(space
, type2
))
10652 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
10653 "index out of bounds", goto error
);
10655 if (type1
== type2
&& pos1
== pos2
)
10656 return isl_basic_map_universe(space
);
10658 bmap
= isl_basic_map_alloc_space(isl_space_copy(space
), 0, 1, 0);
10659 i
= isl_basic_map_alloc_equality(bmap
);
10662 isl_seq_clr(bmap
->eq
[i
], 1 + isl_basic_map_total_dim(bmap
));
10663 pos1
+= isl_basic_map_offset(bmap
, type1
);
10664 pos2
+= isl_basic_map_offset(bmap
, type2
);
10665 isl_int_set_si(bmap
->eq
[i
][pos1
], -1);
10666 isl_int_set_si(bmap
->eq
[i
][pos2
], 1);
10667 bmap
= isl_basic_map_finalize(bmap
);
10668 isl_space_free(space
);
10671 isl_space_free(space
);
10672 isl_basic_map_free(bmap
);
10676 /* Add a constraint imposing that the given two dimensions are equal.
10678 __isl_give isl_basic_map
*isl_basic_map_equate(__isl_take isl_basic_map
*bmap
,
10679 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
10683 eq
= equator(isl_basic_map_get_space(bmap
), type1
, pos1
, type2
, pos2
);
10685 bmap
= isl_basic_map_intersect(bmap
, eq
);
10690 /* Add a constraint imposing that the given two dimensions are equal.
10692 __isl_give isl_map
*isl_map_equate(__isl_take isl_map
*map
,
10693 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
10695 isl_basic_map
*bmap
;
10697 bmap
= equator(isl_map_get_space(map
), type1
, pos1
, type2
, pos2
);
10699 map
= isl_map_intersect(map
, isl_map_from_basic_map(bmap
));
10704 /* Add a constraint imposing that the given two dimensions have opposite values.
10706 __isl_give isl_map
*isl_map_oppose(__isl_take isl_map
*map
,
10707 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
10709 isl_basic_map
*bmap
= NULL
;
10715 if (pos1
>= isl_map_dim(map
, type1
))
10716 isl_die(map
->ctx
, isl_error_invalid
,
10717 "index out of bounds", goto error
);
10718 if (pos2
>= isl_map_dim(map
, type2
))
10719 isl_die(map
->ctx
, isl_error_invalid
,
10720 "index out of bounds", goto error
);
10722 bmap
= isl_basic_map_alloc_space(isl_map_get_space(map
), 0, 1, 0);
10723 i
= isl_basic_map_alloc_equality(bmap
);
10726 isl_seq_clr(bmap
->eq
[i
], 1 + isl_basic_map_total_dim(bmap
));
10727 pos1
+= isl_basic_map_offset(bmap
, type1
);
10728 pos2
+= isl_basic_map_offset(bmap
, type2
);
10729 isl_int_set_si(bmap
->eq
[i
][pos1
], 1);
10730 isl_int_set_si(bmap
->eq
[i
][pos2
], 1);
10731 bmap
= isl_basic_map_finalize(bmap
);
10733 map
= isl_map_intersect(map
, isl_map_from_basic_map(bmap
));
10737 isl_basic_map_free(bmap
);
10742 /* Add a constraint imposing that the value of the first dimension is
10743 * greater than or equal to that of the second.
10745 __isl_give isl_basic_map
*isl_basic_map_order_ge(__isl_take isl_basic_map
*bmap
,
10746 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
10749 isl_local_space
*ls
;
10754 if (pos1
>= isl_basic_map_dim(bmap
, type1
))
10755 isl_die(bmap
->ctx
, isl_error_invalid
,
10756 "index out of bounds", return isl_basic_map_free(bmap
));
10757 if (pos2
>= isl_basic_map_dim(bmap
, type2
))
10758 isl_die(bmap
->ctx
, isl_error_invalid
,
10759 "index out of bounds", return isl_basic_map_free(bmap
));
10761 if (type1
== type2
&& pos1
== pos2
)
10764 ls
= isl_local_space_from_space(isl_basic_map_get_space(bmap
));
10765 c
= isl_inequality_alloc(ls
);
10766 c
= isl_constraint_set_coefficient_si(c
, type1
, pos1
, 1);
10767 c
= isl_constraint_set_coefficient_si(c
, type2
, pos2
, -1);
10768 bmap
= isl_basic_map_add_constraint(bmap
, c
);
10773 /* Add a constraint imposing that the value of the first dimension is
10774 * greater than that of the second.
10776 __isl_give isl_map
*isl_map_order_gt(__isl_take isl_map
*map
,
10777 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
10779 isl_basic_map
*bmap
= NULL
;
10785 if (pos1
>= isl_map_dim(map
, type1
))
10786 isl_die(map
->ctx
, isl_error_invalid
,
10787 "index out of bounds", goto error
);
10788 if (pos2
>= isl_map_dim(map
, type2
))
10789 isl_die(map
->ctx
, isl_error_invalid
,
10790 "index out of bounds", goto error
);
10792 if (type1
== type2
&& pos1
== pos2
) {
10793 isl_space
*space
= isl_map_get_space(map
);
10795 return isl_map_empty(space
);
10798 bmap
= isl_basic_map_alloc_space(isl_map_get_space(map
), 0, 0, 1);
10799 i
= isl_basic_map_alloc_inequality(bmap
);
10802 isl_seq_clr(bmap
->ineq
[i
], 1 + isl_basic_map_total_dim(bmap
));
10803 pos1
+= isl_basic_map_offset(bmap
, type1
);
10804 pos2
+= isl_basic_map_offset(bmap
, type2
);
10805 isl_int_set_si(bmap
->ineq
[i
][pos1
], 1);
10806 isl_int_set_si(bmap
->ineq
[i
][pos2
], -1);
10807 isl_int_set_si(bmap
->ineq
[i
][0], -1);
10808 bmap
= isl_basic_map_finalize(bmap
);
10810 map
= isl_map_intersect(map
, isl_map_from_basic_map(bmap
));
10814 isl_basic_map_free(bmap
);
10819 /* Add a constraint imposing that the value of the first dimension is
10820 * smaller than that of the second.
10822 __isl_give isl_map
*isl_map_order_lt(__isl_take isl_map
*map
,
10823 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
10825 return isl_map_order_gt(map
, type2
, pos2
, type1
, pos1
);
10828 __isl_give isl_aff
*isl_basic_map_get_div(__isl_keep isl_basic_map
*bmap
,
10832 isl_local_space
*ls
;
10837 if (!isl_basic_map_divs_known(bmap
))
10838 isl_die(isl_basic_map_get_ctx(bmap
), isl_error_invalid
,
10839 "some divs are unknown", return NULL
);
10841 ls
= isl_basic_map_get_local_space(bmap
);
10842 div
= isl_local_space_get_div(ls
, pos
);
10843 isl_local_space_free(ls
);
10848 __isl_give isl_aff
*isl_basic_set_get_div(__isl_keep isl_basic_set
*bset
,
10851 return isl_basic_map_get_div(bset
, pos
);
10854 /* Plug in "subs" for dimension "type", "pos" of "bset".
10856 * Let i be the dimension to replace and let "subs" be of the form
10860 * Any integer division with a non-zero coefficient for i,
10862 * floor((a i + g)/m)
10866 * floor((a f + d g)/(m d))
10868 * Constraints of the form
10876 * We currently require that "subs" is an integral expression.
10877 * Handling rational expressions may require us to add stride constraints
10878 * as we do in isl_basic_set_preimage_multi_aff.
10880 __isl_give isl_basic_set
*isl_basic_set_substitute(
10881 __isl_take isl_basic_set
*bset
,
10882 enum isl_dim_type type
, unsigned pos
, __isl_keep isl_aff
*subs
)
10888 if (bset
&& isl_basic_set_plain_is_empty(bset
))
10891 bset
= isl_basic_set_cow(bset
);
10892 if (!bset
|| !subs
)
10895 ctx
= isl_basic_set_get_ctx(bset
);
10896 if (!isl_space_is_equal(bset
->dim
, subs
->ls
->dim
))
10897 isl_die(ctx
, isl_error_invalid
,
10898 "spaces don't match", goto error
);
10899 if (isl_local_space_dim(subs
->ls
, isl_dim_div
) != 0)
10900 isl_die(ctx
, isl_error_unsupported
,
10901 "cannot handle divs yet", goto error
);
10902 if (!isl_int_is_one(subs
->v
->el
[0]))
10903 isl_die(ctx
, isl_error_invalid
,
10904 "can only substitute integer expressions", goto error
);
10906 pos
+= isl_basic_set_offset(bset
, type
);
10910 for (i
= 0; i
< bset
->n_eq
; ++i
) {
10911 if (isl_int_is_zero(bset
->eq
[i
][pos
]))
10913 isl_int_set(v
, bset
->eq
[i
][pos
]);
10914 isl_int_set_si(bset
->eq
[i
][pos
], 0);
10915 isl_seq_combine(bset
->eq
[i
], subs
->v
->el
[0], bset
->eq
[i
],
10916 v
, subs
->v
->el
+ 1, subs
->v
->size
- 1);
10919 for (i
= 0; i
< bset
->n_ineq
; ++i
) {
10920 if (isl_int_is_zero(bset
->ineq
[i
][pos
]))
10922 isl_int_set(v
, bset
->ineq
[i
][pos
]);
10923 isl_int_set_si(bset
->ineq
[i
][pos
], 0);
10924 isl_seq_combine(bset
->ineq
[i
], subs
->v
->el
[0], bset
->ineq
[i
],
10925 v
, subs
->v
->el
+ 1, subs
->v
->size
- 1);
10928 for (i
= 0; i
< bset
->n_div
; ++i
) {
10929 if (isl_int_is_zero(bset
->div
[i
][1 + pos
]))
10931 isl_int_set(v
, bset
->div
[i
][1 + pos
]);
10932 isl_int_set_si(bset
->div
[i
][1 + pos
], 0);
10933 isl_seq_combine(bset
->div
[i
] + 1,
10934 subs
->v
->el
[0], bset
->div
[i
] + 1,
10935 v
, subs
->v
->el
+ 1, subs
->v
->size
- 1);
10936 isl_int_mul(bset
->div
[i
][0], bset
->div
[i
][0], subs
->v
->el
[0]);
10941 bset
= isl_basic_set_simplify(bset
);
10942 return isl_basic_set_finalize(bset
);
10944 isl_basic_set_free(bset
);
10948 /* Plug in "subs" for dimension "type", "pos" of "set".
10950 __isl_give isl_set
*isl_set_substitute(__isl_take isl_set
*set
,
10951 enum isl_dim_type type
, unsigned pos
, __isl_keep isl_aff
*subs
)
10955 if (set
&& isl_set_plain_is_empty(set
))
10958 set
= isl_set_cow(set
);
10962 for (i
= set
->n
- 1; i
>= 0; --i
) {
10963 set
->p
[i
] = isl_basic_set_substitute(set
->p
[i
], type
, pos
, subs
);
10964 if (remove_if_empty(set
, i
) < 0)
10974 /* Check if the range of "ma" is compatible with "space".
10975 * Return -1 if anything is wrong.
10977 static int check_space_compatible_range_multi_aff(
10978 __isl_keep isl_space
*space
, __isl_keep isl_multi_aff
*ma
)
10981 isl_space
*ma_space
;
10983 ma_space
= isl_multi_aff_get_space(ma
);
10984 m
= isl_space_is_range_internal(space
, ma_space
);
10985 isl_space_free(ma_space
);
10987 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
10988 "spaces don't match", return -1);
10992 /* Check if the range of "ma" is compatible with "bset".
10993 * Return -1 if anything is wrong.
10995 static int check_basic_set_compatible_range_multi_aff(
10996 __isl_keep isl_basic_set
*bset
, __isl_keep isl_multi_aff
*ma
)
10998 return check_space_compatible_range_multi_aff(bset
->dim
, ma
);
11001 /* Copy the divs from "ma" to "bset", adding zeros for the coefficients
11002 * of the other divs in "bset".
11004 static int set_ma_divs(__isl_keep isl_basic_set
*bset
,
11005 __isl_keep isl_multi_aff
*ma
, int n_div
)
11008 isl_local_space
*ls
;
11013 ls
= isl_aff_get_domain_local_space(ma
->p
[0]);
11017 for (i
= 0; i
< n_div
; ++i
) {
11018 isl_seq_cpy(bset
->div
[i
], ls
->div
->row
[i
], ls
->div
->n_col
);
11019 isl_seq_clr(bset
->div
[i
] + ls
->div
->n_col
, bset
->n_div
- n_div
);
11020 if (isl_basic_set_add_div_constraints(bset
, i
) < 0)
11024 isl_local_space_free(ls
);
11027 isl_local_space_free(ls
);
11031 /* How many stride constraints does "ma" enforce?
11032 * That is, how many of the affine expressions have a denominator
11033 * different from one?
11035 static int multi_aff_strides(__isl_keep isl_multi_aff
*ma
)
11040 for (i
= 0; i
< ma
->n
; ++i
)
11041 if (!isl_int_is_one(ma
->p
[i
]->v
->el
[0]))
11047 /* For each affine expression in ma of the form
11049 * x_i = (f_i y + h_i)/m_i
11051 * with m_i different from one, add a constraint to "bset"
11054 * f_i y + h_i = m_i alpha_i
11056 * with alpha_i an additional existentially quantified variable.
11058 static __isl_give isl_basic_set
*add_ma_strides(
11059 __isl_take isl_basic_set
*bset
, __isl_keep isl_multi_aff
*ma
)
11065 total
= isl_basic_set_total_dim(bset
);
11066 for (i
= 0; i
< ma
->n
; ++i
) {
11069 if (isl_int_is_one(ma
->p
[i
]->v
->el
[0]))
11071 div
= isl_basic_set_alloc_div(bset
);
11072 k
= isl_basic_set_alloc_equality(bset
);
11073 if (div
< 0 || k
< 0)
11075 isl_int_set_si(bset
->div
[div
][0], 0);
11076 len
= ma
->p
[i
]->v
->size
;
11077 isl_seq_cpy(bset
->eq
[k
], ma
->p
[i
]->v
->el
+ 1, len
- 1);
11078 isl_seq_clr(bset
->eq
[k
] + len
- 1, 1 + total
- (len
- 1));
11079 isl_int_neg(bset
->eq
[k
][1 + total
], ma
->p
[i
]->v
->el
[0]);
11085 isl_basic_set_free(bset
);
11089 /* Compute the preimage of "bset" under the function represented by "ma".
11090 * In other words, plug in "ma" in "bset". The result is a basic set
11091 * that lives in the domain space of "ma".
11093 * If bset is represented by
11095 * A(p) + B x + C(divs) >= 0
11097 * and ma is represented by
11099 * x = D(p) + F(y) + G(divs')
11101 * then the result is
11103 * A(p) + B D(p) + B F(y) + B G(divs') + C(divs) >= 0
11105 * The divs in the input set are similarly adjusted.
11108 * floor((a_i(p) + b_i x + c_i(divs))/n_i)
11112 * floor((a_i(p) + b_i D(p) + b_i F(y) + B_i G(divs') + c_i(divs))/n_i)
11114 * If bset is not a rational set and if F(y) involves any denominators
11116 * x_i = (f_i y + h_i)/m_i
11118 * the additional constraints are added to ensure that we only
11119 * map back integer points. That is we enforce
11121 * f_i y + h_i = m_i alpha_i
11123 * with alpha_i an additional existentially quantified variable.
11125 * We first copy over the divs from "ma".
11126 * Then we add the modified constraints and divs from "bset".
11127 * Finally, we add the stride constraints, if needed.
11129 __isl_give isl_basic_set
*isl_basic_set_preimage_multi_aff(
11130 __isl_take isl_basic_set
*bset
, __isl_take isl_multi_aff
*ma
)
11134 isl_basic_set
*res
= NULL
;
11135 int n_div_bset
, n_div_ma
;
11136 isl_int f
, c1
, c2
, g
;
11137 int rational
, strides
;
11144 ma
= isl_multi_aff_align_divs(ma
);
11147 if (check_basic_set_compatible_range_multi_aff(bset
, ma
) < 0)
11150 n_div_bset
= isl_basic_set_dim(bset
, isl_dim_div
);
11151 n_div_ma
= ma
->n
? isl_aff_dim(ma
->p
[0], isl_dim_div
) : 0;
11153 space
= isl_space_domain(isl_multi_aff_get_space(ma
));
11154 rational
= isl_basic_set_is_rational(bset
);
11155 strides
= rational
? 0 : multi_aff_strides(ma
);
11156 res
= isl_basic_set_alloc_space(space
, n_div_ma
+ n_div_bset
+ strides
,
11157 bset
->n_eq
+ strides
, bset
->n_ineq
+ 2 * n_div_ma
);
11159 res
= isl_basic_set_set_rational(res
);
11161 for (i
= 0; i
< n_div_ma
+ n_div_bset
; ++i
)
11162 if (isl_basic_set_alloc_div(res
) < 0)
11165 if (set_ma_divs(res
, ma
, n_div_ma
) < 0)
11168 for (i
= 0; i
< bset
->n_eq
; ++i
) {
11169 k
= isl_basic_set_alloc_equality(res
);
11172 isl_seq_preimage(res
->eq
[k
], bset
->eq
[i
], ma
, n_div_ma
,
11173 n_div_bset
, f
, c1
, c2
, g
, 0);
11176 for (i
= 0; i
< bset
->n_ineq
; ++i
) {
11177 k
= isl_basic_set_alloc_inequality(res
);
11180 isl_seq_preimage(res
->ineq
[k
], bset
->ineq
[i
], ma
, n_div_ma
,
11181 n_div_bset
, f
, c1
, c2
, g
, 0);
11184 for (i
= 0; i
< bset
->n_div
; ++i
) {
11185 if (isl_int_is_zero(bset
->div
[i
][0])) {
11186 isl_int_set_si(res
->div
[n_div_ma
+ i
][0], 0);
11189 isl_seq_preimage(res
->div
[n_div_ma
+ i
], bset
->div
[i
],
11190 ma
, n_div_ma
, n_div_bset
, f
, c1
, c2
, g
, 1);
11194 res
= add_ma_strides(res
, ma
);
11200 isl_basic_set_free(bset
);
11201 isl_multi_aff_free(ma
);
11202 res
= isl_basic_set_simplify(res
);
11203 return isl_basic_set_finalize(res
);
11209 isl_basic_set_free(bset
);
11210 isl_multi_aff_free(ma
);
11211 isl_basic_set_free(res
);
11215 /* Check if the range of "ma" is compatible with "set".
11216 * Return -1 if anything is wrong.
11218 static int check_set_compatible_range_multi_aff(
11219 __isl_keep isl_set
*set
, __isl_keep isl_multi_aff
*ma
)
11221 return check_space_compatible_range_multi_aff(set
->dim
, ma
);
11224 /* Compute the preimage of "set" under the function represented by "ma".
11225 * In other words, plug in "ma" in "set. The result is a set
11226 * that lives in the domain space of "ma".
11228 static __isl_give isl_set
*set_preimage_multi_aff(__isl_take isl_set
*set
,
11229 __isl_take isl_multi_aff
*ma
)
11233 set
= isl_set_cow(set
);
11234 ma
= isl_multi_aff_align_divs(ma
);
11237 if (check_set_compatible_range_multi_aff(set
, ma
) < 0)
11240 for (i
= 0; i
< set
->n
; ++i
) {
11241 set
->p
[i
] = isl_basic_set_preimage_multi_aff(set
->p
[i
],
11242 isl_multi_aff_copy(ma
));
11247 isl_space_free(set
->dim
);
11248 set
->dim
= isl_multi_aff_get_domain_space(ma
);
11252 isl_multi_aff_free(ma
);
11254 ISL_F_CLR(set
, ISL_MAP_DISJOINT
);
11255 ISL_F_CLR(set
, ISL_SET_NORMALIZED
);
11258 isl_multi_aff_free(ma
);
11263 __isl_give isl_set
*isl_set_preimage_multi_aff(__isl_take isl_set
*set
,
11264 __isl_take isl_multi_aff
*ma
)
11269 if (isl_space_match(set
->dim
, isl_dim_param
, ma
->space
, isl_dim_param
))
11270 return set_preimage_multi_aff(set
, ma
);
11272 if (!isl_space_has_named_params(set
->dim
) ||
11273 !isl_space_has_named_params(ma
->space
))
11274 isl_die(set
->ctx
, isl_error_invalid
,
11275 "unaligned unnamed parameters", goto error
);
11276 set
= isl_set_align_params(set
, isl_multi_aff_get_space(ma
));
11277 ma
= isl_multi_aff_align_params(ma
, isl_set_get_space(set
));
11279 return set_preimage_multi_aff(set
, ma
);
11281 isl_multi_aff_free(ma
);
11282 return isl_set_free(set
);
11285 /* Compute the preimage of "set" under the function represented by "pma".
11286 * In other words, plug in "pma" in "set. The result is a set
11287 * that lives in the domain space of "pma".
11289 static __isl_give isl_set
*set_preimage_pw_multi_aff(__isl_take isl_set
*set
,
11290 __isl_take isl_pw_multi_aff
*pma
)
11299 isl_pw_multi_aff_free(pma
);
11300 res
= isl_set_empty(isl_set_get_space(set
));
11305 res
= isl_set_preimage_multi_aff(isl_set_copy(set
),
11306 isl_multi_aff_copy(pma
->p
[0].maff
));
11307 res
= isl_set_intersect(res
, isl_set_copy(pma
->p
[0].set
));
11309 for (i
= 1; i
< pma
->n
; ++i
) {
11312 res_i
= isl_set_preimage_multi_aff(isl_set_copy(set
),
11313 isl_multi_aff_copy(pma
->p
[i
].maff
));
11314 res_i
= isl_set_intersect(res_i
, isl_set_copy(pma
->p
[i
].set
));
11315 res
= isl_set_union(res
, res_i
);
11318 isl_pw_multi_aff_free(pma
);
11322 isl_pw_multi_aff_free(pma
);
11327 __isl_give isl_set
*isl_set_preimage_pw_multi_aff(__isl_take isl_set
*set
,
11328 __isl_take isl_pw_multi_aff
*pma
)
11333 if (isl_space_match(set
->dim
, isl_dim_param
, pma
->dim
, isl_dim_param
))
11334 return set_preimage_pw_multi_aff(set
, pma
);
11336 if (!isl_space_has_named_params(set
->dim
) ||
11337 !isl_space_has_named_params(pma
->dim
))
11338 isl_die(set
->ctx
, isl_error_invalid
,
11339 "unaligned unnamed parameters", goto error
);
11340 set
= isl_set_align_params(set
, isl_pw_multi_aff_get_space(pma
));
11341 pma
= isl_pw_multi_aff_align_params(pma
, isl_set_get_space(set
));
11343 return set_preimage_pw_multi_aff(set
, pma
);
11345 isl_pw_multi_aff_free(pma
);
11346 return isl_set_free(set
);