2 * Copyright 2008-2009 Katholieke Universiteit Leuven
3 * Copyright 2010 INRIA Saclay
4 * Copyright 2012-2014 Ecole Normale Superieure
5 * Copyright 2014 INRIA Rocquencourt
6 * Copyright 2016 INRIA Paris
7 * Copyright 2016 Sven Verdoolaege
9 * Use of this software is governed by the MIT license
11 * Written by Sven Verdoolaege, K.U.Leuven, Departement
12 * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
13 * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
14 * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
15 * and Ecole Normale Superieure, 45 rue d’Ulm, 75230 Paris, France
16 * and Inria Paris - Rocquencourt, Domaine de Voluceau - Rocquencourt,
17 * B.P. 105 - 78153 Le Chesnay, France
18 * and Centre de Recherche Inria de Paris, 2 rue Simone Iff - Voie DQ12,
19 * CS 42112, 75589 Paris Cedex 12, France
23 #include <isl_ctx_private.h>
24 #include <isl_map_private.h>
26 #include <isl/constraint.h>
27 #include "isl_space_private.h"
28 #include "isl_equalities.h"
29 #include <isl_lp_private.h>
33 #include <isl_reordering.h>
34 #include "isl_sample.h"
38 #include <isl_mat_private.h>
39 #include <isl_vec_private.h>
40 #include <isl_dim_map.h>
41 #include <isl_local_space_private.h>
42 #include <isl_aff_private.h>
43 #include <isl_options_private.h>
44 #include <isl_morph.h>
45 #include <isl_val_private.h>
46 #include <isl/deprecated/map_int.h>
47 #include <isl/deprecated/set_int.h>
49 #include <bset_to_bmap.c>
50 #include <bset_from_bmap.c>
51 #include <set_to_map.c>
52 #include <set_from_map.c>
54 static unsigned n(__isl_keep isl_space
*dim
, enum isl_dim_type type
)
57 case isl_dim_param
: return dim
->nparam
;
58 case isl_dim_in
: return dim
->n_in
;
59 case isl_dim_out
: return dim
->n_out
;
60 case isl_dim_all
: return dim
->nparam
+ dim
->n_in
+ dim
->n_out
;
65 static unsigned pos(__isl_keep isl_space
*dim
, enum isl_dim_type type
)
68 case isl_dim_param
: return 1;
69 case isl_dim_in
: return 1 + dim
->nparam
;
70 case isl_dim_out
: return 1 + dim
->nparam
+ dim
->n_in
;
75 unsigned isl_basic_map_dim(__isl_keep isl_basic_map
*bmap
,
76 enum isl_dim_type type
)
81 case isl_dim_cst
: return 1;
84 case isl_dim_out
: return isl_space_dim(bmap
->dim
, type
);
85 case isl_dim_div
: return bmap
->n_div
;
86 case isl_dim_all
: return isl_basic_map_total_dim(bmap
);
91 unsigned isl_map_dim(__isl_keep isl_map
*map
, enum isl_dim_type type
)
93 return map
? n(map
->dim
, type
) : 0;
96 unsigned isl_set_dim(__isl_keep isl_set
*set
, enum isl_dim_type type
)
98 return set
? n(set
->dim
, type
) : 0;
101 unsigned isl_basic_map_offset(struct isl_basic_map
*bmap
,
102 enum isl_dim_type type
)
111 case isl_dim_cst
: return 0;
112 case isl_dim_param
: return 1;
113 case isl_dim_in
: return 1 + space
->nparam
;
114 case isl_dim_out
: return 1 + space
->nparam
+ space
->n_in
;
115 case isl_dim_div
: return 1 + space
->nparam
+ space
->n_in
+
121 unsigned isl_basic_set_offset(struct isl_basic_set
*bset
,
122 enum isl_dim_type type
)
124 return isl_basic_map_offset(bset
, type
);
127 static unsigned map_offset(struct isl_map
*map
, enum isl_dim_type type
)
129 return pos(map
->dim
, type
);
132 unsigned isl_basic_set_dim(__isl_keep isl_basic_set
*bset
,
133 enum isl_dim_type type
)
135 return isl_basic_map_dim(bset
, type
);
138 unsigned isl_basic_set_n_dim(__isl_keep isl_basic_set
*bset
)
140 return isl_basic_set_dim(bset
, isl_dim_set
);
143 unsigned isl_basic_set_n_param(__isl_keep isl_basic_set
*bset
)
145 return isl_basic_set_dim(bset
, isl_dim_param
);
148 unsigned isl_basic_set_total_dim(const struct isl_basic_set
*bset
)
152 return isl_space_dim(bset
->dim
, isl_dim_all
) + bset
->n_div
;
155 unsigned isl_set_n_dim(__isl_keep isl_set
*set
)
157 return isl_set_dim(set
, isl_dim_set
);
160 unsigned isl_set_n_param(__isl_keep isl_set
*set
)
162 return isl_set_dim(set
, isl_dim_param
);
165 unsigned isl_basic_map_n_in(const struct isl_basic_map
*bmap
)
167 return bmap
? bmap
->dim
->n_in
: 0;
170 unsigned isl_basic_map_n_out(const struct isl_basic_map
*bmap
)
172 return bmap
? bmap
->dim
->n_out
: 0;
175 unsigned isl_basic_map_n_param(const struct isl_basic_map
*bmap
)
177 return bmap
? bmap
->dim
->nparam
: 0;
180 unsigned isl_basic_map_n_div(const struct isl_basic_map
*bmap
)
182 return bmap
? bmap
->n_div
: 0;
185 unsigned isl_basic_map_total_dim(const struct isl_basic_map
*bmap
)
187 return bmap
? isl_space_dim(bmap
->dim
, isl_dim_all
) + bmap
->n_div
: 0;
190 unsigned isl_map_n_in(const struct isl_map
*map
)
192 return map
? map
->dim
->n_in
: 0;
195 unsigned isl_map_n_out(const struct isl_map
*map
)
197 return map
? map
->dim
->n_out
: 0;
200 unsigned isl_map_n_param(const struct isl_map
*map
)
202 return map
? map
->dim
->nparam
: 0;
205 isl_bool
isl_map_compatible_domain(__isl_keep isl_map
*map
,
206 __isl_keep isl_set
*set
)
210 return isl_bool_error
;
211 m
= isl_space_match(map
->dim
, isl_dim_param
, set
->dim
, isl_dim_param
);
214 return isl_space_tuple_is_equal(map
->dim
, isl_dim_in
,
215 set
->dim
, isl_dim_set
);
218 isl_bool
isl_basic_map_compatible_domain(__isl_keep isl_basic_map
*bmap
,
219 __isl_keep isl_basic_set
*bset
)
223 return isl_bool_error
;
224 m
= isl_space_match(bmap
->dim
, isl_dim_param
, bset
->dim
, isl_dim_param
);
227 return isl_space_tuple_is_equal(bmap
->dim
, isl_dim_in
,
228 bset
->dim
, isl_dim_set
);
231 isl_bool
isl_map_compatible_range(__isl_keep isl_map
*map
,
232 __isl_keep isl_set
*set
)
236 return isl_bool_error
;
237 m
= isl_space_match(map
->dim
, isl_dim_param
, set
->dim
, isl_dim_param
);
240 return isl_space_tuple_is_equal(map
->dim
, isl_dim_out
,
241 set
->dim
, isl_dim_set
);
244 isl_bool
isl_basic_map_compatible_range(__isl_keep isl_basic_map
*bmap
,
245 __isl_keep isl_basic_set
*bset
)
249 return isl_bool_error
;
250 m
= isl_space_match(bmap
->dim
, isl_dim_param
, bset
->dim
, isl_dim_param
);
253 return isl_space_tuple_is_equal(bmap
->dim
, isl_dim_out
,
254 bset
->dim
, isl_dim_set
);
257 isl_ctx
*isl_basic_map_get_ctx(__isl_keep isl_basic_map
*bmap
)
259 return bmap
? bmap
->ctx
: NULL
;
262 isl_ctx
*isl_basic_set_get_ctx(__isl_keep isl_basic_set
*bset
)
264 return bset
? bset
->ctx
: NULL
;
267 isl_ctx
*isl_map_get_ctx(__isl_keep isl_map
*map
)
269 return map
? map
->ctx
: NULL
;
272 isl_ctx
*isl_set_get_ctx(__isl_keep isl_set
*set
)
274 return set
? set
->ctx
: NULL
;
277 __isl_give isl_space
*isl_basic_map_get_space(__isl_keep isl_basic_map
*bmap
)
281 return isl_space_copy(bmap
->dim
);
284 __isl_give isl_space
*isl_basic_set_get_space(__isl_keep isl_basic_set
*bset
)
288 return isl_space_copy(bset
->dim
);
291 /* Extract the divs in "bmap" as a matrix.
293 __isl_give isl_mat
*isl_basic_map_get_divs(__isl_keep isl_basic_map
*bmap
)
304 ctx
= isl_basic_map_get_ctx(bmap
);
305 total
= isl_space_dim(bmap
->dim
, isl_dim_all
);
306 cols
= 1 + 1 + total
+ bmap
->n_div
;
307 div
= isl_mat_alloc(ctx
, bmap
->n_div
, cols
);
311 for (i
= 0; i
< bmap
->n_div
; ++i
)
312 isl_seq_cpy(div
->row
[i
], bmap
->div
[i
], cols
);
317 /* Extract the divs in "bset" as a matrix.
319 __isl_give isl_mat
*isl_basic_set_get_divs(__isl_keep isl_basic_set
*bset
)
321 return isl_basic_map_get_divs(bset
);
324 __isl_give isl_local_space
*isl_basic_map_get_local_space(
325 __isl_keep isl_basic_map
*bmap
)
332 div
= isl_basic_map_get_divs(bmap
);
333 return isl_local_space_alloc_div(isl_space_copy(bmap
->dim
), div
);
336 __isl_give isl_local_space
*isl_basic_set_get_local_space(
337 __isl_keep isl_basic_set
*bset
)
339 return isl_basic_map_get_local_space(bset
);
342 /* For each known div d = floor(f/m), add the constraints
345 * -(f-(m-1)) + m d >= 0
347 * Do not finalize the result.
349 static __isl_give isl_basic_map
*add_known_div_constraints(
350 __isl_take isl_basic_map
*bmap
)
357 n_div
= isl_basic_map_dim(bmap
, isl_dim_div
);
360 bmap
= isl_basic_map_cow(bmap
);
361 bmap
= isl_basic_map_extend_constraints(bmap
, 0, 2 * n_div
);
364 for (i
= 0; i
< n_div
; ++i
) {
365 if (isl_int_is_zero(bmap
->div
[i
][0]))
367 if (isl_basic_map_add_div_constraints(bmap
, i
) < 0)
368 return isl_basic_map_free(bmap
);
374 __isl_give isl_basic_map
*isl_basic_map_from_local_space(
375 __isl_take isl_local_space
*ls
)
384 n_div
= isl_local_space_dim(ls
, isl_dim_div
);
385 bmap
= isl_basic_map_alloc_space(isl_local_space_get_space(ls
),
386 n_div
, 0, 2 * n_div
);
388 for (i
= 0; i
< n_div
; ++i
)
389 if (isl_basic_map_alloc_div(bmap
) < 0)
392 for (i
= 0; i
< n_div
; ++i
)
393 isl_seq_cpy(bmap
->div
[i
], ls
->div
->row
[i
], ls
->div
->n_col
);
394 bmap
= add_known_div_constraints(bmap
);
396 isl_local_space_free(ls
);
399 isl_local_space_free(ls
);
400 isl_basic_map_free(bmap
);
404 __isl_give isl_basic_set
*isl_basic_set_from_local_space(
405 __isl_take isl_local_space
*ls
)
407 return isl_basic_map_from_local_space(ls
);
410 __isl_give isl_space
*isl_map_get_space(__isl_keep isl_map
*map
)
414 return isl_space_copy(map
->dim
);
417 __isl_give isl_space
*isl_set_get_space(__isl_keep isl_set
*set
)
421 return isl_space_copy(set
->dim
);
424 __isl_give isl_basic_map
*isl_basic_map_set_tuple_name(
425 __isl_take isl_basic_map
*bmap
, enum isl_dim_type type
, const char *s
)
427 bmap
= isl_basic_map_cow(bmap
);
430 bmap
->dim
= isl_space_set_tuple_name(bmap
->dim
, type
, s
);
433 bmap
= isl_basic_map_finalize(bmap
);
436 isl_basic_map_free(bmap
);
440 __isl_give isl_basic_set
*isl_basic_set_set_tuple_name(
441 __isl_take isl_basic_set
*bset
, const char *s
)
443 return isl_basic_map_set_tuple_name(bset
, isl_dim_set
, s
);
446 const char *isl_basic_map_get_tuple_name(__isl_keep isl_basic_map
*bmap
,
447 enum isl_dim_type type
)
449 return bmap
? isl_space_get_tuple_name(bmap
->dim
, type
) : NULL
;
452 __isl_give isl_map
*isl_map_set_tuple_name(__isl_take isl_map
*map
,
453 enum isl_dim_type type
, const char *s
)
457 map
= isl_map_cow(map
);
461 map
->dim
= isl_space_set_tuple_name(map
->dim
, type
, s
);
465 for (i
= 0; i
< map
->n
; ++i
) {
466 map
->p
[i
] = isl_basic_map_set_tuple_name(map
->p
[i
], type
, s
);
477 /* Replace the identifier of the tuple of type "type" by "id".
479 __isl_give isl_basic_map
*isl_basic_map_set_tuple_id(
480 __isl_take isl_basic_map
*bmap
,
481 enum isl_dim_type type
, __isl_take isl_id
*id
)
483 bmap
= isl_basic_map_cow(bmap
);
486 bmap
->dim
= isl_space_set_tuple_id(bmap
->dim
, type
, id
);
488 return isl_basic_map_free(bmap
);
489 bmap
= isl_basic_map_finalize(bmap
);
496 /* Replace the identifier of the tuple by "id".
498 __isl_give isl_basic_set
*isl_basic_set_set_tuple_id(
499 __isl_take isl_basic_set
*bset
, __isl_take isl_id
*id
)
501 return isl_basic_map_set_tuple_id(bset
, isl_dim_set
, id
);
504 /* Does the input or output tuple have a name?
506 isl_bool
isl_map_has_tuple_name(__isl_keep isl_map
*map
, enum isl_dim_type type
)
508 return map
? isl_space_has_tuple_name(map
->dim
, type
) : isl_bool_error
;
511 const char *isl_map_get_tuple_name(__isl_keep isl_map
*map
,
512 enum isl_dim_type type
)
514 return map
? isl_space_get_tuple_name(map
->dim
, type
) : NULL
;
517 __isl_give isl_set
*isl_set_set_tuple_name(__isl_take isl_set
*set
,
520 return set_from_map(isl_map_set_tuple_name(set_to_map(set
),
524 __isl_give isl_map
*isl_map_set_tuple_id(__isl_take isl_map
*map
,
525 enum isl_dim_type type
, __isl_take isl_id
*id
)
527 map
= isl_map_cow(map
);
531 map
->dim
= isl_space_set_tuple_id(map
->dim
, type
, id
);
533 return isl_map_reset_space(map
, isl_space_copy(map
->dim
));
539 __isl_give isl_set
*isl_set_set_tuple_id(__isl_take isl_set
*set
,
540 __isl_take isl_id
*id
)
542 return isl_map_set_tuple_id(set
, isl_dim_set
, id
);
545 __isl_give isl_map
*isl_map_reset_tuple_id(__isl_take isl_map
*map
,
546 enum isl_dim_type type
)
548 map
= isl_map_cow(map
);
552 map
->dim
= isl_space_reset_tuple_id(map
->dim
, type
);
554 return isl_map_reset_space(map
, isl_space_copy(map
->dim
));
557 __isl_give isl_set
*isl_set_reset_tuple_id(__isl_take isl_set
*set
)
559 return isl_map_reset_tuple_id(set
, isl_dim_set
);
562 isl_bool
isl_map_has_tuple_id(__isl_keep isl_map
*map
, enum isl_dim_type type
)
564 return map
? isl_space_has_tuple_id(map
->dim
, type
) : isl_bool_error
;
567 __isl_give isl_id
*isl_map_get_tuple_id(__isl_keep isl_map
*map
,
568 enum isl_dim_type type
)
570 return map
? isl_space_get_tuple_id(map
->dim
, type
) : NULL
;
573 isl_bool
isl_set_has_tuple_id(__isl_keep isl_set
*set
)
575 return isl_map_has_tuple_id(set
, isl_dim_set
);
578 __isl_give isl_id
*isl_set_get_tuple_id(__isl_keep isl_set
*set
)
580 return isl_map_get_tuple_id(set
, isl_dim_set
);
583 /* Does the set tuple have a name?
585 isl_bool
isl_set_has_tuple_name(__isl_keep isl_set
*set
)
588 return isl_bool_error
;
589 return isl_space_has_tuple_name(set
->dim
, isl_dim_set
);
593 const char *isl_basic_set_get_tuple_name(__isl_keep isl_basic_set
*bset
)
595 return bset
? isl_space_get_tuple_name(bset
->dim
, isl_dim_set
) : NULL
;
598 const char *isl_set_get_tuple_name(__isl_keep isl_set
*set
)
600 return set
? isl_space_get_tuple_name(set
->dim
, isl_dim_set
) : NULL
;
603 const char *isl_basic_map_get_dim_name(__isl_keep isl_basic_map
*bmap
,
604 enum isl_dim_type type
, unsigned pos
)
606 return bmap
? isl_space_get_dim_name(bmap
->dim
, type
, pos
) : NULL
;
609 const char *isl_basic_set_get_dim_name(__isl_keep isl_basic_set
*bset
,
610 enum isl_dim_type type
, unsigned pos
)
612 return bset
? isl_space_get_dim_name(bset
->dim
, type
, pos
) : NULL
;
615 /* Does the given dimension have a name?
617 isl_bool
isl_map_has_dim_name(__isl_keep isl_map
*map
,
618 enum isl_dim_type type
, unsigned pos
)
621 return isl_bool_error
;
622 return isl_space_has_dim_name(map
->dim
, type
, pos
);
625 const char *isl_map_get_dim_name(__isl_keep isl_map
*map
,
626 enum isl_dim_type type
, unsigned pos
)
628 return map
? isl_space_get_dim_name(map
->dim
, type
, pos
) : NULL
;
631 const char *isl_set_get_dim_name(__isl_keep isl_set
*set
,
632 enum isl_dim_type type
, unsigned pos
)
634 return set
? isl_space_get_dim_name(set
->dim
, type
, pos
) : NULL
;
637 /* Does the given dimension have a name?
639 isl_bool
isl_set_has_dim_name(__isl_keep isl_set
*set
,
640 enum isl_dim_type type
, unsigned pos
)
643 return isl_bool_error
;
644 return isl_space_has_dim_name(set
->dim
, type
, pos
);
647 __isl_give isl_basic_map
*isl_basic_map_set_dim_name(
648 __isl_take isl_basic_map
*bmap
,
649 enum isl_dim_type type
, unsigned pos
, const char *s
)
651 bmap
= isl_basic_map_cow(bmap
);
654 bmap
->dim
= isl_space_set_dim_name(bmap
->dim
, type
, pos
, s
);
657 return isl_basic_map_finalize(bmap
);
659 isl_basic_map_free(bmap
);
663 __isl_give isl_map
*isl_map_set_dim_name(__isl_take isl_map
*map
,
664 enum isl_dim_type type
, unsigned pos
, const char *s
)
668 map
= isl_map_cow(map
);
672 map
->dim
= isl_space_set_dim_name(map
->dim
, type
, pos
, s
);
676 for (i
= 0; i
< map
->n
; ++i
) {
677 map
->p
[i
] = isl_basic_map_set_dim_name(map
->p
[i
], type
, pos
, s
);
688 __isl_give isl_basic_set
*isl_basic_set_set_dim_name(
689 __isl_take isl_basic_set
*bset
,
690 enum isl_dim_type type
, unsigned pos
, const char *s
)
692 return bset_from_bmap(isl_basic_map_set_dim_name(bset_to_bmap(bset
),
696 __isl_give isl_set
*isl_set_set_dim_name(__isl_take isl_set
*set
,
697 enum isl_dim_type type
, unsigned pos
, const char *s
)
699 return set_from_map(isl_map_set_dim_name(set_to_map(set
),
703 isl_bool
isl_basic_map_has_dim_id(__isl_keep isl_basic_map
*bmap
,
704 enum isl_dim_type type
, unsigned pos
)
707 return isl_bool_error
;
708 return isl_space_has_dim_id(bmap
->dim
, type
, pos
);
711 __isl_give isl_id
*isl_basic_set_get_dim_id(__isl_keep isl_basic_set
*bset
,
712 enum isl_dim_type type
, unsigned pos
)
714 return bset
? isl_space_get_dim_id(bset
->dim
, type
, pos
) : NULL
;
717 isl_bool
isl_map_has_dim_id(__isl_keep isl_map
*map
,
718 enum isl_dim_type type
, unsigned pos
)
720 return map
? isl_space_has_dim_id(map
->dim
, type
, pos
) : isl_bool_error
;
723 __isl_give isl_id
*isl_map_get_dim_id(__isl_keep isl_map
*map
,
724 enum isl_dim_type type
, unsigned pos
)
726 return map
? isl_space_get_dim_id(map
->dim
, type
, pos
) : NULL
;
729 isl_bool
isl_set_has_dim_id(__isl_keep isl_set
*set
,
730 enum isl_dim_type type
, unsigned pos
)
732 return isl_map_has_dim_id(set
, type
, pos
);
735 __isl_give isl_id
*isl_set_get_dim_id(__isl_keep isl_set
*set
,
736 enum isl_dim_type type
, unsigned pos
)
738 return isl_map_get_dim_id(set
, type
, pos
);
741 __isl_give isl_map
*isl_map_set_dim_id(__isl_take isl_map
*map
,
742 enum isl_dim_type type
, unsigned pos
, __isl_take isl_id
*id
)
744 map
= isl_map_cow(map
);
748 map
->dim
= isl_space_set_dim_id(map
->dim
, type
, pos
, id
);
750 return isl_map_reset_space(map
, isl_space_copy(map
->dim
));
756 __isl_give isl_set
*isl_set_set_dim_id(__isl_take isl_set
*set
,
757 enum isl_dim_type type
, unsigned pos
, __isl_take isl_id
*id
)
759 return isl_map_set_dim_id(set
, type
, pos
, id
);
762 int isl_map_find_dim_by_id(__isl_keep isl_map
*map
, enum isl_dim_type type
,
763 __isl_keep isl_id
*id
)
767 return isl_space_find_dim_by_id(map
->dim
, type
, id
);
770 int isl_set_find_dim_by_id(__isl_keep isl_set
*set
, enum isl_dim_type type
,
771 __isl_keep isl_id
*id
)
773 return isl_map_find_dim_by_id(set
, type
, id
);
776 /* Return the position of the dimension of the given type and name
778 * Return -1 if no such dimension can be found.
780 int isl_basic_map_find_dim_by_name(__isl_keep isl_basic_map
*bmap
,
781 enum isl_dim_type type
, const char *name
)
785 return isl_space_find_dim_by_name(bmap
->dim
, type
, name
);
788 int isl_map_find_dim_by_name(__isl_keep isl_map
*map
, enum isl_dim_type type
,
793 return isl_space_find_dim_by_name(map
->dim
, type
, name
);
796 int isl_set_find_dim_by_name(__isl_keep isl_set
*set
, enum isl_dim_type type
,
799 return isl_map_find_dim_by_name(set
, type
, name
);
802 /* Reset the user pointer on all identifiers of parameters and tuples
803 * of the space of "map".
805 __isl_give isl_map
*isl_map_reset_user(__isl_take isl_map
*map
)
809 space
= isl_map_get_space(map
);
810 space
= isl_space_reset_user(space
);
811 map
= isl_map_reset_space(map
, space
);
816 /* Reset the user pointer on all identifiers of parameters and tuples
817 * of the space of "set".
819 __isl_give isl_set
*isl_set_reset_user(__isl_take isl_set
*set
)
821 return isl_map_reset_user(set
);
824 isl_bool
isl_basic_map_is_rational(__isl_keep isl_basic_map
*bmap
)
827 return isl_bool_error
;
828 return ISL_F_ISSET(bmap
, ISL_BASIC_MAP_RATIONAL
);
831 /* Has "map" been marked as a rational map?
832 * In particular, have all basic maps in "map" been marked this way?
833 * An empty map is not considered to be rational.
834 * Maps where only some of the basic maps are marked rational
837 isl_bool
isl_map_is_rational(__isl_keep isl_map
*map
)
843 return isl_bool_error
;
845 return isl_bool_false
;
846 rational
= isl_basic_map_is_rational(map
->p
[0]);
849 for (i
= 1; i
< map
->n
; ++i
) {
852 rational_i
= isl_basic_map_is_rational(map
->p
[i
]);
855 if (rational
!= rational_i
)
856 isl_die(isl_map_get_ctx(map
), isl_error_unsupported
,
857 "mixed rational and integer basic maps "
858 "not supported", return isl_bool_error
);
864 /* Has "set" been marked as a rational set?
865 * In particular, have all basic set in "set" been marked this way?
866 * An empty set is not considered to be rational.
867 * Sets where only some of the basic sets are marked rational
870 isl_bool
isl_set_is_rational(__isl_keep isl_set
*set
)
872 return isl_map_is_rational(set
);
875 int isl_basic_set_is_rational(__isl_keep isl_basic_set
*bset
)
877 return isl_basic_map_is_rational(bset
);
880 /* Does "bmap" contain any rational points?
882 * If "bmap" has an equality for each dimension, equating the dimension
883 * to an integer constant, then it has no rational points, even if it
884 * is marked as rational.
886 isl_bool
isl_basic_map_has_rational(__isl_keep isl_basic_map
*bmap
)
888 isl_bool has_rational
= isl_bool_true
;
892 return isl_bool_error
;
893 if (isl_basic_map_plain_is_empty(bmap
))
894 return isl_bool_false
;
895 if (!isl_basic_map_is_rational(bmap
))
896 return isl_bool_false
;
897 bmap
= isl_basic_map_copy(bmap
);
898 bmap
= isl_basic_map_implicit_equalities(bmap
);
900 return isl_bool_error
;
901 total
= isl_basic_map_total_dim(bmap
);
902 if (bmap
->n_eq
== total
) {
904 for (i
= 0; i
< bmap
->n_eq
; ++i
) {
905 j
= isl_seq_first_non_zero(bmap
->eq
[i
] + 1, total
);
908 if (!isl_int_is_one(bmap
->eq
[i
][1 + j
]) &&
909 !isl_int_is_negone(bmap
->eq
[i
][1 + j
]))
911 j
= isl_seq_first_non_zero(bmap
->eq
[i
] + 1 + j
+ 1,
917 has_rational
= isl_bool_false
;
919 isl_basic_map_free(bmap
);
924 /* Does "map" contain any rational points?
926 isl_bool
isl_map_has_rational(__isl_keep isl_map
*map
)
929 isl_bool has_rational
;
932 return isl_bool_error
;
933 for (i
= 0; i
< map
->n
; ++i
) {
934 has_rational
= isl_basic_map_has_rational(map
->p
[i
]);
935 if (has_rational
< 0 || has_rational
)
938 return isl_bool_false
;
941 /* Does "set" contain any rational points?
943 isl_bool
isl_set_has_rational(__isl_keep isl_set
*set
)
945 return isl_map_has_rational(set
);
948 /* Is this basic set a parameter domain?
950 isl_bool
isl_basic_set_is_params(__isl_keep isl_basic_set
*bset
)
953 return isl_bool_error
;
954 return isl_space_is_params(bset
->dim
);
957 /* Is this set a parameter domain?
959 isl_bool
isl_set_is_params(__isl_keep isl_set
*set
)
962 return isl_bool_error
;
963 return isl_space_is_params(set
->dim
);
966 /* Is this map actually a parameter domain?
967 * Users should never call this function. Outside of isl,
968 * a map can never be a parameter domain.
970 isl_bool
isl_map_is_params(__isl_keep isl_map
*map
)
973 return isl_bool_error
;
974 return isl_space_is_params(map
->dim
);
977 static struct isl_basic_map
*basic_map_init(struct isl_ctx
*ctx
,
978 struct isl_basic_map
*bmap
, unsigned extra
,
979 unsigned n_eq
, unsigned n_ineq
)
982 size_t row_size
= 1 + isl_space_dim(bmap
->dim
, isl_dim_all
) + extra
;
987 bmap
->block
= isl_blk_alloc(ctx
, (n_ineq
+ n_eq
) * row_size
);
988 if (isl_blk_is_error(bmap
->block
))
991 bmap
->ineq
= isl_alloc_array(ctx
, isl_int
*, n_ineq
+ n_eq
);
992 if ((n_ineq
+ n_eq
) && !bmap
->ineq
)
996 bmap
->block2
= isl_blk_empty();
999 bmap
->block2
= isl_blk_alloc(ctx
, extra
* (1 + row_size
));
1000 if (isl_blk_is_error(bmap
->block2
))
1003 bmap
->div
= isl_alloc_array(ctx
, isl_int
*, extra
);
1008 for (i
= 0; i
< n_ineq
+ n_eq
; ++i
)
1009 bmap
->ineq
[i
] = bmap
->block
.data
+ i
* row_size
;
1011 for (i
= 0; i
< extra
; ++i
)
1012 bmap
->div
[i
] = bmap
->block2
.data
+ i
* (1 + row_size
);
1016 bmap
->c_size
= n_eq
+ n_ineq
;
1017 bmap
->eq
= bmap
->ineq
+ n_ineq
;
1018 bmap
->extra
= extra
;
1022 bmap
->sample
= NULL
;
1026 isl_basic_map_free(bmap
);
1030 struct isl_basic_set
*isl_basic_set_alloc(struct isl_ctx
*ctx
,
1031 unsigned nparam
, unsigned dim
, unsigned extra
,
1032 unsigned n_eq
, unsigned n_ineq
)
1034 struct isl_basic_map
*bmap
;
1037 space
= isl_space_set_alloc(ctx
, nparam
, dim
);
1041 bmap
= isl_basic_map_alloc_space(space
, extra
, n_eq
, n_ineq
);
1042 return bset_from_bmap(bmap
);
1045 struct isl_basic_set
*isl_basic_set_alloc_space(__isl_take isl_space
*dim
,
1046 unsigned extra
, unsigned n_eq
, unsigned n_ineq
)
1048 struct isl_basic_map
*bmap
;
1051 isl_assert(dim
->ctx
, dim
->n_in
== 0, goto error
);
1052 bmap
= isl_basic_map_alloc_space(dim
, extra
, n_eq
, n_ineq
);
1053 return bset_from_bmap(bmap
);
1055 isl_space_free(dim
);
1059 struct isl_basic_map
*isl_basic_map_alloc_space(__isl_take isl_space
*dim
,
1060 unsigned extra
, unsigned n_eq
, unsigned n_ineq
)
1062 struct isl_basic_map
*bmap
;
1066 bmap
= isl_calloc_type(dim
->ctx
, struct isl_basic_map
);
1071 return basic_map_init(dim
->ctx
, bmap
, extra
, n_eq
, n_ineq
);
1073 isl_space_free(dim
);
1077 struct isl_basic_map
*isl_basic_map_alloc(struct isl_ctx
*ctx
,
1078 unsigned nparam
, unsigned in
, unsigned out
, unsigned extra
,
1079 unsigned n_eq
, unsigned n_ineq
)
1081 struct isl_basic_map
*bmap
;
1084 dim
= isl_space_alloc(ctx
, nparam
, in
, out
);
1088 bmap
= isl_basic_map_alloc_space(dim
, extra
, n_eq
, n_ineq
);
1092 static void dup_constraints(
1093 struct isl_basic_map
*dst
, struct isl_basic_map
*src
)
1096 unsigned total
= isl_basic_map_total_dim(src
);
1098 for (i
= 0; i
< src
->n_eq
; ++i
) {
1099 int j
= isl_basic_map_alloc_equality(dst
);
1100 isl_seq_cpy(dst
->eq
[j
], src
->eq
[i
], 1+total
);
1103 for (i
= 0; i
< src
->n_ineq
; ++i
) {
1104 int j
= isl_basic_map_alloc_inequality(dst
);
1105 isl_seq_cpy(dst
->ineq
[j
], src
->ineq
[i
], 1+total
);
1108 for (i
= 0; i
< src
->n_div
; ++i
) {
1109 int j
= isl_basic_map_alloc_div(dst
);
1110 isl_seq_cpy(dst
->div
[j
], src
->div
[i
], 1+1+total
);
1112 ISL_F_SET(dst
, ISL_BASIC_SET_FINAL
);
1115 struct isl_basic_map
*isl_basic_map_dup(struct isl_basic_map
*bmap
)
1117 struct isl_basic_map
*dup
;
1121 dup
= isl_basic_map_alloc_space(isl_space_copy(bmap
->dim
),
1122 bmap
->n_div
, bmap
->n_eq
, bmap
->n_ineq
);
1125 dup_constraints(dup
, bmap
);
1126 dup
->flags
= bmap
->flags
;
1127 dup
->sample
= isl_vec_copy(bmap
->sample
);
1131 struct isl_basic_set
*isl_basic_set_dup(struct isl_basic_set
*bset
)
1133 struct isl_basic_map
*dup
;
1135 dup
= isl_basic_map_dup(bset_to_bmap(bset
));
1136 return bset_from_bmap(dup
);
1139 struct isl_basic_set
*isl_basic_set_copy(struct isl_basic_set
*bset
)
1144 if (ISL_F_ISSET(bset
, ISL_BASIC_SET_FINAL
)) {
1148 return isl_basic_set_dup(bset
);
1151 struct isl_set
*isl_set_copy(struct isl_set
*set
)
1160 struct isl_basic_map
*isl_basic_map_copy(struct isl_basic_map
*bmap
)
1165 if (ISL_F_ISSET(bmap
, ISL_BASIC_SET_FINAL
)) {
1169 bmap
= isl_basic_map_dup(bmap
);
1171 ISL_F_SET(bmap
, ISL_BASIC_SET_FINAL
);
1175 struct isl_map
*isl_map_copy(struct isl_map
*map
)
1184 __isl_null isl_basic_map
*isl_basic_map_free(__isl_take isl_basic_map
*bmap
)
1189 if (--bmap
->ref
> 0)
1192 isl_ctx_deref(bmap
->ctx
);
1194 isl_blk_free(bmap
->ctx
, bmap
->block2
);
1196 isl_blk_free(bmap
->ctx
, bmap
->block
);
1197 isl_vec_free(bmap
->sample
);
1198 isl_space_free(bmap
->dim
);
1204 __isl_null isl_basic_set
*isl_basic_set_free(__isl_take isl_basic_set
*bset
)
1206 return isl_basic_map_free(bset_to_bmap(bset
));
1209 static int room_for_con(struct isl_basic_map
*bmap
, unsigned n
)
1211 return bmap
->n_eq
+ bmap
->n_ineq
+ n
<= bmap
->c_size
;
1214 __isl_give isl_map
*isl_map_align_params_map_map_and(
1215 __isl_take isl_map
*map1
, __isl_take isl_map
*map2
,
1216 __isl_give isl_map
*(*fn
)(__isl_take isl_map
*map1
,
1217 __isl_take isl_map
*map2
))
1221 if (isl_space_match(map1
->dim
, isl_dim_param
, map2
->dim
, isl_dim_param
))
1222 return fn(map1
, map2
);
1223 if (!isl_space_has_named_params(map1
->dim
) ||
1224 !isl_space_has_named_params(map2
->dim
))
1225 isl_die(map1
->ctx
, isl_error_invalid
,
1226 "unaligned unnamed parameters", goto error
);
1227 map1
= isl_map_align_params(map1
, isl_map_get_space(map2
));
1228 map2
= isl_map_align_params(map2
, isl_map_get_space(map1
));
1229 return fn(map1
, map2
);
1236 isl_bool
isl_map_align_params_map_map_and_test(__isl_keep isl_map
*map1
,
1237 __isl_keep isl_map
*map2
,
1238 isl_bool (*fn
)(__isl_keep isl_map
*map1
, __isl_keep isl_map
*map2
))
1243 return isl_bool_error
;
1244 if (isl_space_match(map1
->dim
, isl_dim_param
, map2
->dim
, isl_dim_param
))
1245 return fn(map1
, map2
);
1246 if (!isl_space_has_named_params(map1
->dim
) ||
1247 !isl_space_has_named_params(map2
->dim
))
1248 isl_die(map1
->ctx
, isl_error_invalid
,
1249 "unaligned unnamed parameters", return isl_bool_error
);
1250 map1
= isl_map_copy(map1
);
1251 map2
= isl_map_copy(map2
);
1252 map1
= isl_map_align_params(map1
, isl_map_get_space(map2
));
1253 map2
= isl_map_align_params(map2
, isl_map_get_space(map1
));
1260 int isl_basic_map_alloc_equality(struct isl_basic_map
*bmap
)
1262 struct isl_ctx
*ctx
;
1266 isl_assert(ctx
, room_for_con(bmap
, 1), return -1);
1267 isl_assert(ctx
, (bmap
->eq
- bmap
->ineq
) + bmap
->n_eq
<= bmap
->c_size
,
1269 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
1270 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NO_REDUNDANT
);
1271 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NO_IMPLICIT
);
1272 ISL_F_CLR(bmap
, ISL_BASIC_MAP_ALL_EQUALITIES
);
1273 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED_DIVS
);
1274 if ((bmap
->eq
- bmap
->ineq
) + bmap
->n_eq
== bmap
->c_size
) {
1276 int j
= isl_basic_map_alloc_inequality(bmap
);
1280 bmap
->ineq
[j
] = bmap
->ineq
[bmap
->n_ineq
- 1];
1281 bmap
->ineq
[bmap
->n_ineq
- 1] = bmap
->eq
[-1];
1288 isl_seq_clr(bmap
->eq
[bmap
->n_eq
] + 1 + isl_basic_map_total_dim(bmap
),
1289 bmap
->extra
- bmap
->n_div
);
1290 return bmap
->n_eq
++;
1293 int isl_basic_set_alloc_equality(struct isl_basic_set
*bset
)
1295 return isl_basic_map_alloc_equality(bset_to_bmap(bset
));
1298 int isl_basic_map_free_equality(struct isl_basic_map
*bmap
, unsigned n
)
1302 isl_assert(bmap
->ctx
, n
<= bmap
->n_eq
, return -1);
1307 int isl_basic_set_free_equality(struct isl_basic_set
*bset
, unsigned n
)
1309 return isl_basic_map_free_equality(bset_to_bmap(bset
), n
);
1312 int isl_basic_map_drop_equality(struct isl_basic_map
*bmap
, unsigned pos
)
1317 isl_assert(bmap
->ctx
, pos
< bmap
->n_eq
, return -1);
1319 if (pos
!= bmap
->n_eq
- 1) {
1321 bmap
->eq
[pos
] = bmap
->eq
[bmap
->n_eq
- 1];
1322 bmap
->eq
[bmap
->n_eq
- 1] = t
;
1328 /* Turn inequality "pos" of "bmap" into an equality.
1330 * In particular, we move the inequality in front of the equalities
1331 * and move the last inequality in the position of the moved inequality.
1332 * Note that isl_tab_make_equalities_explicit depends on this particular
1333 * change in the ordering of the constraints.
1335 void isl_basic_map_inequality_to_equality(
1336 struct isl_basic_map
*bmap
, unsigned pos
)
1340 t
= bmap
->ineq
[pos
];
1341 bmap
->ineq
[pos
] = bmap
->ineq
[bmap
->n_ineq
- 1];
1342 bmap
->ineq
[bmap
->n_ineq
- 1] = bmap
->eq
[-1];
1347 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NO_REDUNDANT
);
1348 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
1349 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED_DIVS
);
1350 ISL_F_CLR(bmap
, ISL_BASIC_MAP_ALL_EQUALITIES
);
1353 static int room_for_ineq(struct isl_basic_map
*bmap
, unsigned n
)
1355 return bmap
->n_ineq
+ n
<= bmap
->eq
- bmap
->ineq
;
1358 int isl_basic_map_alloc_inequality(struct isl_basic_map
*bmap
)
1360 struct isl_ctx
*ctx
;
1364 isl_assert(ctx
, room_for_ineq(bmap
, 1), return -1);
1365 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NO_IMPLICIT
);
1366 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NO_REDUNDANT
);
1367 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
1368 ISL_F_CLR(bmap
, ISL_BASIC_MAP_ALL_EQUALITIES
);
1369 isl_seq_clr(bmap
->ineq
[bmap
->n_ineq
] +
1370 1 + isl_basic_map_total_dim(bmap
),
1371 bmap
->extra
- bmap
->n_div
);
1372 return bmap
->n_ineq
++;
1375 int isl_basic_set_alloc_inequality(struct isl_basic_set
*bset
)
1377 return isl_basic_map_alloc_inequality(bset_to_bmap(bset
));
1380 int isl_basic_map_free_inequality(struct isl_basic_map
*bmap
, unsigned n
)
1384 isl_assert(bmap
->ctx
, n
<= bmap
->n_ineq
, return -1);
1389 int isl_basic_set_free_inequality(struct isl_basic_set
*bset
, unsigned n
)
1391 return isl_basic_map_free_inequality(bset_to_bmap(bset
), n
);
1394 int isl_basic_map_drop_inequality(struct isl_basic_map
*bmap
, unsigned pos
)
1399 isl_assert(bmap
->ctx
, pos
< bmap
->n_ineq
, return -1);
1401 if (pos
!= bmap
->n_ineq
- 1) {
1402 t
= bmap
->ineq
[pos
];
1403 bmap
->ineq
[pos
] = bmap
->ineq
[bmap
->n_ineq
- 1];
1404 bmap
->ineq
[bmap
->n_ineq
- 1] = t
;
1405 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
1411 int isl_basic_set_drop_inequality(struct isl_basic_set
*bset
, unsigned pos
)
1413 return isl_basic_map_drop_inequality(bset_to_bmap(bset
), pos
);
1416 __isl_give isl_basic_map
*isl_basic_map_add_eq(__isl_take isl_basic_map
*bmap
,
1421 bmap
= isl_basic_map_extend_constraints(bmap
, 1, 0);
1424 k
= isl_basic_map_alloc_equality(bmap
);
1427 isl_seq_cpy(bmap
->eq
[k
], eq
, 1 + isl_basic_map_total_dim(bmap
));
1430 isl_basic_map_free(bmap
);
1434 __isl_give isl_basic_set
*isl_basic_set_add_eq(__isl_take isl_basic_set
*bset
,
1437 return bset_from_bmap(isl_basic_map_add_eq(bset_to_bmap(bset
), eq
));
1440 __isl_give isl_basic_map
*isl_basic_map_add_ineq(__isl_take isl_basic_map
*bmap
,
1445 bmap
= isl_basic_map_extend_constraints(bmap
, 0, 1);
1448 k
= isl_basic_map_alloc_inequality(bmap
);
1451 isl_seq_cpy(bmap
->ineq
[k
], ineq
, 1 + isl_basic_map_total_dim(bmap
));
1454 isl_basic_map_free(bmap
);
1458 __isl_give isl_basic_set
*isl_basic_set_add_ineq(__isl_take isl_basic_set
*bset
,
1461 return bset_from_bmap(isl_basic_map_add_ineq(bset_to_bmap(bset
), ineq
));
1464 int isl_basic_map_alloc_div(struct isl_basic_map
*bmap
)
1468 isl_assert(bmap
->ctx
, bmap
->n_div
< bmap
->extra
, return -1);
1469 isl_seq_clr(bmap
->div
[bmap
->n_div
] +
1470 1 + 1 + isl_basic_map_total_dim(bmap
),
1471 bmap
->extra
- bmap
->n_div
);
1472 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED_DIVS
);
1473 return bmap
->n_div
++;
1476 int isl_basic_set_alloc_div(struct isl_basic_set
*bset
)
1478 return isl_basic_map_alloc_div(bset_to_bmap(bset
));
1481 /* Check that there are "n" dimensions of type "type" starting at "first"
1484 static isl_stat
isl_basic_map_check_range(__isl_keep isl_basic_map
*bmap
,
1485 enum isl_dim_type type
, unsigned first
, unsigned n
)
1490 return isl_stat_error
;
1491 dim
= isl_basic_map_dim(bmap
, type
);
1492 if (first
+ n
> dim
|| first
+ n
< first
)
1493 isl_die(isl_basic_map_get_ctx(bmap
), isl_error_invalid
,
1494 "position or range out of bounds",
1495 return isl_stat_error
);
1499 /* Insert an extra integer division, prescribed by "div", to "bmap"
1500 * at (integer division) position "pos".
1502 * The integer division is first added at the end and then moved
1503 * into the right position.
1505 __isl_give isl_basic_map
*isl_basic_map_insert_div(
1506 __isl_take isl_basic_map
*bmap
, int pos
, __isl_keep isl_vec
*div
)
1510 bmap
= isl_basic_map_cow(bmap
);
1512 return isl_basic_map_free(bmap
);
1514 if (div
->size
!= 1 + 1 + isl_basic_map_dim(bmap
, isl_dim_all
))
1515 isl_die(isl_basic_map_get_ctx(bmap
), isl_error_invalid
,
1516 "unexpected size", return isl_basic_map_free(bmap
));
1517 if (isl_basic_map_check_range(bmap
, isl_dim_div
, pos
, 0) < 0)
1518 return isl_basic_map_free(bmap
);
1520 bmap
= isl_basic_map_extend_space(bmap
,
1521 isl_basic_map_get_space(bmap
), 1, 0, 2);
1522 k
= isl_basic_map_alloc_div(bmap
);
1524 return isl_basic_map_free(bmap
);
1525 isl_seq_cpy(bmap
->div
[k
], div
->el
, div
->size
);
1526 isl_int_set_si(bmap
->div
[k
][div
->size
], 0);
1528 for (i
= k
; i
> pos
; --i
)
1529 isl_basic_map_swap_div(bmap
, i
, i
- 1);
1534 isl_stat
isl_basic_map_free_div(struct isl_basic_map
*bmap
, unsigned n
)
1537 return isl_stat_error
;
1538 isl_assert(bmap
->ctx
, n
<= bmap
->n_div
, return isl_stat_error
);
1543 /* Copy constraint from src to dst, putting the vars of src at offset
1544 * dim_off in dst and the divs of src at offset div_off in dst.
1545 * If both sets are actually map, then dim_off applies to the input
1548 static void copy_constraint(struct isl_basic_map
*dst_map
, isl_int
*dst
,
1549 struct isl_basic_map
*src_map
, isl_int
*src
,
1550 unsigned in_off
, unsigned out_off
, unsigned div_off
)
1552 unsigned src_nparam
= isl_basic_map_n_param(src_map
);
1553 unsigned dst_nparam
= isl_basic_map_n_param(dst_map
);
1554 unsigned src_in
= isl_basic_map_n_in(src_map
);
1555 unsigned dst_in
= isl_basic_map_n_in(dst_map
);
1556 unsigned src_out
= isl_basic_map_n_out(src_map
);
1557 unsigned dst_out
= isl_basic_map_n_out(dst_map
);
1558 isl_int_set(dst
[0], src
[0]);
1559 isl_seq_cpy(dst
+1, src
+1, isl_min(dst_nparam
, src_nparam
));
1560 if (dst_nparam
> src_nparam
)
1561 isl_seq_clr(dst
+1+src_nparam
,
1562 dst_nparam
- src_nparam
);
1563 isl_seq_clr(dst
+1+dst_nparam
, in_off
);
1564 isl_seq_cpy(dst
+1+dst_nparam
+in_off
,
1566 isl_min(dst_in
-in_off
, src_in
));
1567 if (dst_in
-in_off
> src_in
)
1568 isl_seq_clr(dst
+1+dst_nparam
+in_off
+src_in
,
1569 dst_in
- in_off
- src_in
);
1570 isl_seq_clr(dst
+1+dst_nparam
+dst_in
, out_off
);
1571 isl_seq_cpy(dst
+1+dst_nparam
+dst_in
+out_off
,
1572 src
+1+src_nparam
+src_in
,
1573 isl_min(dst_out
-out_off
, src_out
));
1574 if (dst_out
-out_off
> src_out
)
1575 isl_seq_clr(dst
+1+dst_nparam
+dst_in
+out_off
+src_out
,
1576 dst_out
- out_off
- src_out
);
1577 isl_seq_clr(dst
+1+dst_nparam
+dst_in
+dst_out
, div_off
);
1578 isl_seq_cpy(dst
+1+dst_nparam
+dst_in
+dst_out
+div_off
,
1579 src
+1+src_nparam
+src_in
+src_out
,
1580 isl_min(dst_map
->extra
-div_off
, src_map
->n_div
));
1581 if (dst_map
->n_div
-div_off
> src_map
->n_div
)
1582 isl_seq_clr(dst
+1+dst_nparam
+dst_in
+dst_out
+
1583 div_off
+src_map
->n_div
,
1584 dst_map
->n_div
- div_off
- src_map
->n_div
);
1587 static void copy_div(struct isl_basic_map
*dst_map
, isl_int
*dst
,
1588 struct isl_basic_map
*src_map
, isl_int
*src
,
1589 unsigned in_off
, unsigned out_off
, unsigned div_off
)
1591 isl_int_set(dst
[0], src
[0]);
1592 copy_constraint(dst_map
, dst
+1, src_map
, src
+1, in_off
, out_off
, div_off
);
1595 static struct isl_basic_map
*add_constraints(struct isl_basic_map
*bmap1
,
1596 struct isl_basic_map
*bmap2
, unsigned i_pos
, unsigned o_pos
)
1601 if (!bmap1
|| !bmap2
)
1604 div_off
= bmap1
->n_div
;
1606 for (i
= 0; i
< bmap2
->n_eq
; ++i
) {
1607 int i1
= isl_basic_map_alloc_equality(bmap1
);
1610 copy_constraint(bmap1
, bmap1
->eq
[i1
], bmap2
, bmap2
->eq
[i
],
1611 i_pos
, o_pos
, div_off
);
1614 for (i
= 0; i
< bmap2
->n_ineq
; ++i
) {
1615 int i1
= isl_basic_map_alloc_inequality(bmap1
);
1618 copy_constraint(bmap1
, bmap1
->ineq
[i1
], bmap2
, bmap2
->ineq
[i
],
1619 i_pos
, o_pos
, div_off
);
1622 for (i
= 0; i
< bmap2
->n_div
; ++i
) {
1623 int i1
= isl_basic_map_alloc_div(bmap1
);
1626 copy_div(bmap1
, bmap1
->div
[i1
], bmap2
, bmap2
->div
[i
],
1627 i_pos
, o_pos
, div_off
);
1630 isl_basic_map_free(bmap2
);
1635 isl_basic_map_free(bmap1
);
1636 isl_basic_map_free(bmap2
);
1640 struct isl_basic_set
*isl_basic_set_add_constraints(struct isl_basic_set
*bset1
,
1641 struct isl_basic_set
*bset2
, unsigned pos
)
1643 return bset_from_bmap(add_constraints(bset_to_bmap(bset1
),
1644 bset_to_bmap(bset2
), 0, pos
));
1647 struct isl_basic_map
*isl_basic_map_extend_space(struct isl_basic_map
*base
,
1648 __isl_take isl_space
*dim
, unsigned extra
,
1649 unsigned n_eq
, unsigned n_ineq
)
1651 struct isl_basic_map
*ext
;
1661 dims_ok
= isl_space_is_equal(base
->dim
, dim
) &&
1662 base
->extra
>= base
->n_div
+ extra
;
1664 if (dims_ok
&& room_for_con(base
, n_eq
+ n_ineq
) &&
1665 room_for_ineq(base
, n_ineq
)) {
1666 isl_space_free(dim
);
1670 isl_assert(base
->ctx
, base
->dim
->nparam
<= dim
->nparam
, goto error
);
1671 isl_assert(base
->ctx
, base
->dim
->n_in
<= dim
->n_in
, goto error
);
1672 isl_assert(base
->ctx
, base
->dim
->n_out
<= dim
->n_out
, goto error
);
1673 extra
+= base
->extra
;
1675 n_ineq
+= base
->n_ineq
;
1677 ext
= isl_basic_map_alloc_space(dim
, extra
, n_eq
, n_ineq
);
1683 ext
->sample
= isl_vec_copy(base
->sample
);
1684 flags
= base
->flags
;
1685 ext
= add_constraints(ext
, base
, 0, 0);
1688 ISL_F_CLR(ext
, ISL_BASIC_SET_FINAL
);
1694 isl_space_free(dim
);
1695 isl_basic_map_free(base
);
1699 struct isl_basic_set
*isl_basic_set_extend_space(struct isl_basic_set
*base
,
1700 __isl_take isl_space
*dim
, unsigned extra
,
1701 unsigned n_eq
, unsigned n_ineq
)
1703 return bset_from_bmap(isl_basic_map_extend_space(bset_to_bmap(base
),
1704 dim
, extra
, n_eq
, n_ineq
));
1707 struct isl_basic_map
*isl_basic_map_extend_constraints(
1708 struct isl_basic_map
*base
, unsigned n_eq
, unsigned n_ineq
)
1712 return isl_basic_map_extend_space(base
, isl_space_copy(base
->dim
),
1716 struct isl_basic_map
*isl_basic_map_extend(struct isl_basic_map
*base
,
1717 unsigned nparam
, unsigned n_in
, unsigned n_out
, unsigned extra
,
1718 unsigned n_eq
, unsigned n_ineq
)
1720 struct isl_basic_map
*bmap
;
1725 dim
= isl_space_alloc(base
->ctx
, nparam
, n_in
, n_out
);
1729 bmap
= isl_basic_map_extend_space(base
, dim
, extra
, n_eq
, n_ineq
);
1732 isl_basic_map_free(base
);
1736 struct isl_basic_set
*isl_basic_set_extend(struct isl_basic_set
*base
,
1737 unsigned nparam
, unsigned dim
, unsigned extra
,
1738 unsigned n_eq
, unsigned n_ineq
)
1740 return bset_from_bmap(isl_basic_map_extend(bset_to_bmap(base
),
1741 nparam
, 0, dim
, extra
, n_eq
, n_ineq
));
1744 struct isl_basic_set
*isl_basic_set_extend_constraints(
1745 struct isl_basic_set
*base
, unsigned n_eq
, unsigned n_ineq
)
1747 isl_basic_map
*bmap
= bset_to_bmap(base
);
1748 bmap
= isl_basic_map_extend_constraints(bmap
, n_eq
, n_ineq
);
1749 return bset_from_bmap(bmap
);
1752 struct isl_basic_set
*isl_basic_set_cow(struct isl_basic_set
*bset
)
1754 return bset_from_bmap(isl_basic_map_cow(bset_to_bmap(bset
)));
1757 struct isl_basic_map
*isl_basic_map_cow(struct isl_basic_map
*bmap
)
1762 if (bmap
->ref
> 1) {
1764 bmap
= isl_basic_map_dup(bmap
);
1767 ISL_F_CLR(bmap
, ISL_BASIC_SET_FINAL
);
1768 ISL_F_CLR(bmap
, ISL_BASIC_MAP_REDUCED_COEFFICIENTS
);
1773 /* Clear all cached information in "map", either because it is about
1774 * to be modified or because it is being freed.
1775 * Always return the same pointer that is passed in.
1776 * This is needed for the use in isl_map_free.
1778 static __isl_give isl_map
*clear_caches(__isl_take isl_map
*map
)
1780 isl_basic_map_free(map
->cached_simple_hull
[0]);
1781 isl_basic_map_free(map
->cached_simple_hull
[1]);
1782 map
->cached_simple_hull
[0] = NULL
;
1783 map
->cached_simple_hull
[1] = NULL
;
1787 struct isl_set
*isl_set_cow(struct isl_set
*set
)
1789 return isl_map_cow(set
);
1792 /* Return an isl_map that is equal to "map" and that has only
1793 * a single reference.
1795 * If the original input already has only one reference, then
1796 * simply return it, but clear all cached information, since
1797 * it may be rendered invalid by the operations that will be
1798 * performed on the result.
1800 * Otherwise, create a duplicate (without any cached information).
1802 struct isl_map
*isl_map_cow(struct isl_map
*map
)
1808 return clear_caches(map
);
1810 return isl_map_dup(map
);
1813 static void swap_vars(struct isl_blk blk
, isl_int
*a
,
1814 unsigned a_len
, unsigned b_len
)
1816 isl_seq_cpy(blk
.data
, a
+a_len
, b_len
);
1817 isl_seq_cpy(blk
.data
+b_len
, a
, a_len
);
1818 isl_seq_cpy(a
, blk
.data
, b_len
+a_len
);
1821 static __isl_give isl_basic_map
*isl_basic_map_swap_vars(
1822 __isl_take isl_basic_map
*bmap
, unsigned pos
, unsigned n1
, unsigned n2
)
1830 isl_assert(bmap
->ctx
,
1831 pos
+ n1
+ n2
<= 1 + isl_basic_map_total_dim(bmap
), goto error
);
1833 if (n1
== 0 || n2
== 0)
1836 bmap
= isl_basic_map_cow(bmap
);
1840 blk
= isl_blk_alloc(bmap
->ctx
, n1
+ n2
);
1841 if (isl_blk_is_error(blk
))
1844 for (i
= 0; i
< bmap
->n_eq
; ++i
)
1846 bmap
->eq
[i
] + pos
, n1
, n2
);
1848 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
1850 bmap
->ineq
[i
] + pos
, n1
, n2
);
1852 for (i
= 0; i
< bmap
->n_div
; ++i
)
1854 bmap
->div
[i
]+1 + pos
, n1
, n2
);
1856 isl_blk_free(bmap
->ctx
, blk
);
1858 ISL_F_CLR(bmap
, ISL_BASIC_SET_NORMALIZED
);
1859 bmap
= isl_basic_map_gauss(bmap
, NULL
);
1860 return isl_basic_map_finalize(bmap
);
1862 isl_basic_map_free(bmap
);
1866 struct isl_basic_map
*isl_basic_map_set_to_empty(struct isl_basic_map
*bmap
)
1872 total
= isl_basic_map_total_dim(bmap
);
1873 if (isl_basic_map_free_div(bmap
, bmap
->n_div
) < 0)
1874 return isl_basic_map_free(bmap
);
1875 isl_basic_map_free_inequality(bmap
, bmap
->n_ineq
);
1877 isl_basic_map_free_equality(bmap
, bmap
->n_eq
-1);
1879 i
= isl_basic_map_alloc_equality(bmap
);
1883 isl_int_set_si(bmap
->eq
[i
][0], 1);
1884 isl_seq_clr(bmap
->eq
[i
]+1, total
);
1885 ISL_F_SET(bmap
, ISL_BASIC_MAP_EMPTY
);
1886 isl_vec_free(bmap
->sample
);
1887 bmap
->sample
= NULL
;
1888 return isl_basic_map_finalize(bmap
);
1890 isl_basic_map_free(bmap
);
1894 struct isl_basic_set
*isl_basic_set_set_to_empty(struct isl_basic_set
*bset
)
1896 return bset_from_bmap(isl_basic_map_set_to_empty(bset_to_bmap(bset
)));
1899 /* Swap divs "a" and "b" in "bmap" (without modifying any of the constraints
1902 static void swap_div(__isl_keep isl_basic_map
*bmap
, int a
, int b
)
1904 isl_int
*t
= bmap
->div
[a
];
1905 bmap
->div
[a
] = bmap
->div
[b
];
1909 /* Swap divs "a" and "b" in "bmap" and adjust the constraints and
1910 * div definitions accordingly.
1912 void isl_basic_map_swap_div(struct isl_basic_map
*bmap
, int a
, int b
)
1915 unsigned off
= isl_space_dim(bmap
->dim
, isl_dim_all
);
1917 swap_div(bmap
, a
, b
);
1919 for (i
= 0; i
< bmap
->n_eq
; ++i
)
1920 isl_int_swap(bmap
->eq
[i
][1+off
+a
], bmap
->eq
[i
][1+off
+b
]);
1922 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
1923 isl_int_swap(bmap
->ineq
[i
][1+off
+a
], bmap
->ineq
[i
][1+off
+b
]);
1925 for (i
= 0; i
< bmap
->n_div
; ++i
)
1926 isl_int_swap(bmap
->div
[i
][1+1+off
+a
], bmap
->div
[i
][1+1+off
+b
]);
1927 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
1930 /* Swap divs "a" and "b" in "bset" and adjust the constraints and
1931 * div definitions accordingly.
1933 void isl_basic_set_swap_div(__isl_keep isl_basic_set
*bset
, int a
, int b
)
1935 isl_basic_map_swap_div(bset
, a
, b
);
1938 /* Eliminate the specified n dimensions starting at first from the
1939 * constraints, without removing the dimensions from the space.
1940 * If the set is rational, the dimensions are eliminated using Fourier-Motzkin.
1942 __isl_give isl_map
*isl_map_eliminate(__isl_take isl_map
*map
,
1943 enum isl_dim_type type
, unsigned first
, unsigned n
)
1952 if (first
+ n
> isl_map_dim(map
, type
) || first
+ n
< first
)
1953 isl_die(map
->ctx
, isl_error_invalid
,
1954 "index out of bounds", goto error
);
1956 map
= isl_map_cow(map
);
1960 for (i
= 0; i
< map
->n
; ++i
) {
1961 map
->p
[i
] = isl_basic_map_eliminate(map
->p
[i
], type
, first
, n
);
1971 /* Eliminate the specified n dimensions starting at first from the
1972 * constraints, without removing the dimensions from the space.
1973 * If the set is rational, the dimensions are eliminated using Fourier-Motzkin.
1975 __isl_give isl_set
*isl_set_eliminate(__isl_take isl_set
*set
,
1976 enum isl_dim_type type
, unsigned first
, unsigned n
)
1978 return set_from_map(isl_map_eliminate(set_to_map(set
), type
, first
, n
));
1981 /* Eliminate the specified n dimensions starting at first from the
1982 * constraints, without removing the dimensions from the space.
1983 * If the set is rational, the dimensions are eliminated using Fourier-Motzkin.
1985 __isl_give isl_set
*isl_set_eliminate_dims(__isl_take isl_set
*set
,
1986 unsigned first
, unsigned n
)
1988 return isl_set_eliminate(set
, isl_dim_set
, first
, n
);
1991 __isl_give isl_basic_map
*isl_basic_map_remove_divs(
1992 __isl_take isl_basic_map
*bmap
)
1996 bmap
= isl_basic_map_eliminate_vars(bmap
,
1997 isl_space_dim(bmap
->dim
, isl_dim_all
), bmap
->n_div
);
2001 return isl_basic_map_finalize(bmap
);
2004 __isl_give isl_basic_set
*isl_basic_set_remove_divs(
2005 __isl_take isl_basic_set
*bset
)
2007 return bset_from_bmap(isl_basic_map_remove_divs(bset_to_bmap(bset
)));
2010 __isl_give isl_map
*isl_map_remove_divs(__isl_take isl_map
*map
)
2019 map
= isl_map_cow(map
);
2023 for (i
= 0; i
< map
->n
; ++i
) {
2024 map
->p
[i
] = isl_basic_map_remove_divs(map
->p
[i
]);
2034 __isl_give isl_set
*isl_set_remove_divs(__isl_take isl_set
*set
)
2036 return isl_map_remove_divs(set
);
2039 struct isl_basic_map
*isl_basic_map_remove_dims(struct isl_basic_map
*bmap
,
2040 enum isl_dim_type type
, unsigned first
, unsigned n
)
2042 if (isl_basic_map_check_range(bmap
, type
, first
, n
) < 0)
2043 return isl_basic_map_free(bmap
);
2044 if (n
== 0 && !isl_space_is_named_or_nested(bmap
->dim
, type
))
2046 bmap
= isl_basic_map_eliminate_vars(bmap
,
2047 isl_basic_map_offset(bmap
, type
) - 1 + first
, n
);
2050 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_EMPTY
) && type
== isl_dim_div
)
2052 bmap
= isl_basic_map_drop(bmap
, type
, first
, n
);
2056 /* Return true if the definition of the given div (recursively) involves
2057 * any of the given variables.
2059 static isl_bool
div_involves_vars(__isl_keep isl_basic_map
*bmap
, int div
,
2060 unsigned first
, unsigned n
)
2063 unsigned div_offset
= isl_basic_map_offset(bmap
, isl_dim_div
);
2065 if (isl_int_is_zero(bmap
->div
[div
][0]))
2066 return isl_bool_false
;
2067 if (isl_seq_first_non_zero(bmap
->div
[div
] + 1 + first
, n
) >= 0)
2068 return isl_bool_true
;
2070 for (i
= bmap
->n_div
- 1; i
>= 0; --i
) {
2073 if (isl_int_is_zero(bmap
->div
[div
][1 + div_offset
+ i
]))
2075 involves
= div_involves_vars(bmap
, i
, first
, n
);
2076 if (involves
< 0 || involves
)
2080 return isl_bool_false
;
2083 /* Try and add a lower and/or upper bound on "div" to "bmap"
2084 * based on inequality "i".
2085 * "total" is the total number of variables (excluding the divs).
2086 * "v" is a temporary object that can be used during the calculations.
2087 * If "lb" is set, then a lower bound should be constructed.
2088 * If "ub" is set, then an upper bound should be constructed.
2090 * The calling function has already checked that the inequality does not
2091 * reference "div", but we still need to check that the inequality is
2092 * of the right form. We'll consider the case where we want to construct
2093 * a lower bound. The construction of upper bounds is similar.
2095 * Let "div" be of the form
2097 * q = floor((a + f(x))/d)
2099 * We essentially check if constraint "i" is of the form
2103 * so that we can use it to derive a lower bound on "div".
2104 * However, we allow a slightly more general form
2108 * with the condition that the coefficients of g(x) - f(x) are all
2110 * Rewriting this constraint as
2114 * adding a + f(x) to both sides and dividing by d, we obtain
2116 * (a + f(x))/d >= (a-b)/d + (f(x)-g(x))/d
2118 * Taking the floor on both sides, we obtain
2120 * q >= floor((a-b)/d) + (f(x)-g(x))/d
2124 * (g(x)-f(x))/d + ceil((b-a)/d) + q >= 0
2126 * In the case of an upper bound, we construct the constraint
2128 * (g(x)+f(x))/d + floor((b+a)/d) - q >= 0
2131 static __isl_give isl_basic_map
*insert_bounds_on_div_from_ineq(
2132 __isl_take isl_basic_map
*bmap
, int div
, int i
,
2133 unsigned total
, isl_int v
, int lb
, int ub
)
2137 for (j
= 0; (lb
|| ub
) && j
< total
+ bmap
->n_div
; ++j
) {
2139 isl_int_sub(v
, bmap
->ineq
[i
][1 + j
],
2140 bmap
->div
[div
][1 + 1 + j
]);
2141 lb
= isl_int_is_divisible_by(v
, bmap
->div
[div
][0]);
2144 isl_int_add(v
, bmap
->ineq
[i
][1 + j
],
2145 bmap
->div
[div
][1 + 1 + j
]);
2146 ub
= isl_int_is_divisible_by(v
, bmap
->div
[div
][0]);
2152 bmap
= isl_basic_map_cow(bmap
);
2153 bmap
= isl_basic_map_extend_constraints(bmap
, 0, lb
+ ub
);
2155 int k
= isl_basic_map_alloc_inequality(bmap
);
2158 for (j
= 0; j
< 1 + total
+ bmap
->n_div
; ++j
) {
2159 isl_int_sub(bmap
->ineq
[k
][j
], bmap
->ineq
[i
][j
],
2160 bmap
->div
[div
][1 + j
]);
2161 isl_int_cdiv_q(bmap
->ineq
[k
][j
],
2162 bmap
->ineq
[k
][j
], bmap
->div
[div
][0]);
2164 isl_int_set_si(bmap
->ineq
[k
][1 + total
+ div
], 1);
2167 int k
= isl_basic_map_alloc_inequality(bmap
);
2170 for (j
= 0; j
< 1 + total
+ bmap
->n_div
; ++j
) {
2171 isl_int_add(bmap
->ineq
[k
][j
], bmap
->ineq
[i
][j
],
2172 bmap
->div
[div
][1 + j
]);
2173 isl_int_fdiv_q(bmap
->ineq
[k
][j
],
2174 bmap
->ineq
[k
][j
], bmap
->div
[div
][0]);
2176 isl_int_set_si(bmap
->ineq
[k
][1 + total
+ div
], -1);
2179 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
2182 isl_basic_map_free(bmap
);
2186 /* This function is called right before "div" is eliminated from "bmap"
2187 * using Fourier-Motzkin.
2188 * Look through the constraints of "bmap" for constraints on the argument
2189 * of the integer division and use them to construct constraints on the
2190 * integer division itself. These constraints can then be combined
2191 * during the Fourier-Motzkin elimination.
2192 * Note that it is only useful to introduce lower bounds on "div"
2193 * if "bmap" already contains upper bounds on "div" as the newly
2194 * introduce lower bounds can then be combined with the pre-existing
2195 * upper bounds. Similarly for upper bounds.
2196 * We therefore first check if "bmap" contains any lower and/or upper bounds
2199 * It is interesting to note that the introduction of these constraints
2200 * can indeed lead to more accurate results, even when compared to
2201 * deriving constraints on the argument of "div" from constraints on "div".
2202 * Consider, for example, the set
2204 * { [i,j,k] : 3 + i + 2j >= 0 and 2 * [(i+2j)/4] <= k }
2206 * The second constraint can be rewritten as
2208 * 2 * [(-i-2j+3)/4] + k >= 0
2210 * from which we can derive
2212 * -i - 2j + 3 >= -2k
2218 * Combined with the first constraint, we obtain
2220 * -3 <= 3 + 2k or k >= -3
2222 * If, on the other hand we derive a constraint on [(i+2j)/4] from
2223 * the first constraint, we obtain
2225 * [(i + 2j)/4] >= [-3/4] = -1
2227 * Combining this constraint with the second constraint, we obtain
2231 static __isl_give isl_basic_map
*insert_bounds_on_div(
2232 __isl_take isl_basic_map
*bmap
, int div
)
2235 int check_lb
, check_ub
;
2242 if (isl_int_is_zero(bmap
->div
[div
][0]))
2245 total
= isl_space_dim(bmap
->dim
, isl_dim_all
);
2249 for (i
= 0; (!check_lb
|| !check_ub
) && i
< bmap
->n_ineq
; ++i
) {
2250 int s
= isl_int_sgn(bmap
->ineq
[i
][1 + total
+ div
]);
2257 if (!check_lb
&& !check_ub
)
2262 for (i
= 0; bmap
&& i
< bmap
->n_ineq
; ++i
) {
2263 if (!isl_int_is_zero(bmap
->ineq
[i
][1 + total
+ div
]))
2266 bmap
= insert_bounds_on_div_from_ineq(bmap
, div
, i
, total
, v
,
2267 check_lb
, check_ub
);
2275 /* Remove all divs (recursively) involving any of the given dimensions
2276 * in their definitions.
2278 __isl_give isl_basic_map
*isl_basic_map_remove_divs_involving_dims(
2279 __isl_take isl_basic_map
*bmap
,
2280 enum isl_dim_type type
, unsigned first
, unsigned n
)
2284 if (isl_basic_map_check_range(bmap
, type
, first
, n
) < 0)
2285 return isl_basic_map_free(bmap
);
2286 first
+= isl_basic_map_offset(bmap
, type
);
2288 for (i
= bmap
->n_div
- 1; i
>= 0; --i
) {
2291 involves
= div_involves_vars(bmap
, i
, first
, n
);
2293 return isl_basic_map_free(bmap
);
2296 bmap
= insert_bounds_on_div(bmap
, i
);
2297 bmap
= isl_basic_map_remove_dims(bmap
, isl_dim_div
, i
, 1);
2306 __isl_give isl_basic_set
*isl_basic_set_remove_divs_involving_dims(
2307 __isl_take isl_basic_set
*bset
,
2308 enum isl_dim_type type
, unsigned first
, unsigned n
)
2310 return isl_basic_map_remove_divs_involving_dims(bset
, type
, first
, n
);
2313 __isl_give isl_map
*isl_map_remove_divs_involving_dims(__isl_take isl_map
*map
,
2314 enum isl_dim_type type
, unsigned first
, unsigned n
)
2323 map
= isl_map_cow(map
);
2327 for (i
= 0; i
< map
->n
; ++i
) {
2328 map
->p
[i
] = isl_basic_map_remove_divs_involving_dims(map
->p
[i
],
2339 __isl_give isl_set
*isl_set_remove_divs_involving_dims(__isl_take isl_set
*set
,
2340 enum isl_dim_type type
, unsigned first
, unsigned n
)
2342 return set_from_map(isl_map_remove_divs_involving_dims(set_to_map(set
),
2346 /* Does the description of "bmap" depend on the specified dimensions?
2347 * We also check whether the dimensions appear in any of the div definitions.
2348 * In principle there is no need for this check. If the dimensions appear
2349 * in a div definition, they also appear in the defining constraints of that
2352 isl_bool
isl_basic_map_involves_dims(__isl_keep isl_basic_map
*bmap
,
2353 enum isl_dim_type type
, unsigned first
, unsigned n
)
2357 if (isl_basic_map_check_range(bmap
, type
, first
, n
) < 0)
2358 return isl_bool_error
;
2360 first
+= isl_basic_map_offset(bmap
, type
);
2361 for (i
= 0; i
< bmap
->n_eq
; ++i
)
2362 if (isl_seq_first_non_zero(bmap
->eq
[i
] + first
, n
) >= 0)
2363 return isl_bool_true
;
2364 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
2365 if (isl_seq_first_non_zero(bmap
->ineq
[i
] + first
, n
) >= 0)
2366 return isl_bool_true
;
2367 for (i
= 0; i
< bmap
->n_div
; ++i
) {
2368 if (isl_int_is_zero(bmap
->div
[i
][0]))
2370 if (isl_seq_first_non_zero(bmap
->div
[i
] + 1 + first
, n
) >= 0)
2371 return isl_bool_true
;
2374 return isl_bool_false
;
2377 isl_bool
isl_map_involves_dims(__isl_keep isl_map
*map
,
2378 enum isl_dim_type type
, unsigned first
, unsigned n
)
2383 return isl_bool_error
;
2385 if (first
+ n
> isl_map_dim(map
, type
))
2386 isl_die(map
->ctx
, isl_error_invalid
,
2387 "index out of bounds", return isl_bool_error
);
2389 for (i
= 0; i
< map
->n
; ++i
) {
2390 isl_bool involves
= isl_basic_map_involves_dims(map
->p
[i
],
2392 if (involves
< 0 || involves
)
2396 return isl_bool_false
;
2399 isl_bool
isl_basic_set_involves_dims(__isl_keep isl_basic_set
*bset
,
2400 enum isl_dim_type type
, unsigned first
, unsigned n
)
2402 return isl_basic_map_involves_dims(bset
, type
, first
, n
);
2405 isl_bool
isl_set_involves_dims(__isl_keep isl_set
*set
,
2406 enum isl_dim_type type
, unsigned first
, unsigned n
)
2408 return isl_map_involves_dims(set
, type
, first
, n
);
2411 /* Drop all constraints in bmap that involve any of the dimensions
2412 * first to first+n-1.
2414 static __isl_give isl_basic_map
*isl_basic_map_drop_constraints_involving(
2415 __isl_take isl_basic_map
*bmap
, unsigned first
, unsigned n
)
2422 bmap
= isl_basic_map_cow(bmap
);
2427 for (i
= bmap
->n_eq
- 1; i
>= 0; --i
) {
2428 if (isl_seq_first_non_zero(bmap
->eq
[i
] + 1 + first
, n
) == -1)
2430 isl_basic_map_drop_equality(bmap
, i
);
2433 for (i
= bmap
->n_ineq
- 1; i
>= 0; --i
) {
2434 if (isl_seq_first_non_zero(bmap
->ineq
[i
] + 1 + first
, n
) == -1)
2436 isl_basic_map_drop_inequality(bmap
, i
);
2439 bmap
= isl_basic_map_add_known_div_constraints(bmap
);
2443 /* Drop all constraints in bset that involve any of the dimensions
2444 * first to first+n-1.
2446 __isl_give isl_basic_set
*isl_basic_set_drop_constraints_involving(
2447 __isl_take isl_basic_set
*bset
, unsigned first
, unsigned n
)
2449 return isl_basic_map_drop_constraints_involving(bset
, first
, n
);
2452 /* Drop all constraints in bmap that do not involve any of the dimensions
2453 * first to first + n - 1 of the given type.
2455 __isl_give isl_basic_map
*isl_basic_map_drop_constraints_not_involving_dims(
2456 __isl_take isl_basic_map
*bmap
,
2457 enum isl_dim_type type
, unsigned first
, unsigned n
)
2462 isl_space
*space
= isl_basic_map_get_space(bmap
);
2463 isl_basic_map_free(bmap
);
2464 return isl_basic_map_universe(space
);
2466 bmap
= isl_basic_map_cow(bmap
);
2470 if (isl_basic_map_check_range(bmap
, type
, first
, n
) < 0)
2471 return isl_basic_map_free(bmap
);
2473 first
+= isl_basic_map_offset(bmap
, type
) - 1;
2475 for (i
= bmap
->n_eq
- 1; i
>= 0; --i
) {
2476 if (isl_seq_first_non_zero(bmap
->eq
[i
] + 1 + first
, n
) != -1)
2478 isl_basic_map_drop_equality(bmap
, i
);
2481 for (i
= bmap
->n_ineq
- 1; i
>= 0; --i
) {
2482 if (isl_seq_first_non_zero(bmap
->ineq
[i
] + 1 + first
, n
) != -1)
2484 isl_basic_map_drop_inequality(bmap
, i
);
2487 bmap
= isl_basic_map_add_known_div_constraints(bmap
);
2491 /* Drop all constraints in bset that do not involve any of the dimensions
2492 * first to first + n - 1 of the given type.
2494 __isl_give isl_basic_set
*isl_basic_set_drop_constraints_not_involving_dims(
2495 __isl_take isl_basic_set
*bset
,
2496 enum isl_dim_type type
, unsigned first
, unsigned n
)
2498 return isl_basic_map_drop_constraints_not_involving_dims(bset
,
2502 /* Drop all constraints in bmap that involve any of the dimensions
2503 * first to first + n - 1 of the given type.
2505 __isl_give isl_basic_map
*isl_basic_map_drop_constraints_involving_dims(
2506 __isl_take isl_basic_map
*bmap
,
2507 enum isl_dim_type type
, unsigned first
, unsigned n
)
2514 if (isl_basic_map_check_range(bmap
, type
, first
, n
) < 0)
2515 return isl_basic_map_free(bmap
);
2517 bmap
= isl_basic_map_remove_divs_involving_dims(bmap
, type
, first
, n
);
2518 first
+= isl_basic_map_offset(bmap
, type
) - 1;
2519 return isl_basic_map_drop_constraints_involving(bmap
, first
, n
);
2522 /* Drop all constraints in bset that involve any of the dimensions
2523 * first to first + n - 1 of the given type.
2525 __isl_give isl_basic_set
*isl_basic_set_drop_constraints_involving_dims(
2526 __isl_take isl_basic_set
*bset
,
2527 enum isl_dim_type type
, unsigned first
, unsigned n
)
2529 return isl_basic_map_drop_constraints_involving_dims(bset
,
2533 /* Drop constraints from "map" by applying "drop" to each basic map.
2535 static __isl_give isl_map
*drop_constraints(__isl_take isl_map
*map
,
2536 enum isl_dim_type type
, unsigned first
, unsigned n
,
2537 __isl_give isl_basic_map
*(*drop
)(__isl_take isl_basic_map
*bmap
,
2538 enum isl_dim_type type
, unsigned first
, unsigned n
))
2546 dim
= isl_map_dim(map
, type
);
2547 if (first
+ n
> dim
|| first
+ n
< first
)
2548 isl_die(isl_map_get_ctx(map
), isl_error_invalid
,
2549 "index out of bounds", return isl_map_free(map
));
2551 map
= isl_map_cow(map
);
2555 for (i
= 0; i
< map
->n
; ++i
) {
2556 map
->p
[i
] = drop(map
->p
[i
], type
, first
, n
);
2558 return isl_map_free(map
);
2562 ISL_F_CLR(map
, ISL_MAP_DISJOINT
);
2567 /* Drop all constraints in map that involve any of the dimensions
2568 * first to first + n - 1 of the given type.
2570 __isl_give isl_map
*isl_map_drop_constraints_involving_dims(
2571 __isl_take isl_map
*map
,
2572 enum isl_dim_type type
, unsigned first
, unsigned n
)
2576 return drop_constraints(map
, type
, first
, n
,
2577 &isl_basic_map_drop_constraints_involving_dims
);
2580 /* Drop all constraints in "map" that do not involve any of the dimensions
2581 * first to first + n - 1 of the given type.
2583 __isl_give isl_map
*isl_map_drop_constraints_not_involving_dims(
2584 __isl_take isl_map
*map
,
2585 enum isl_dim_type type
, unsigned first
, unsigned n
)
2588 isl_space
*space
= isl_map_get_space(map
);
2590 return isl_map_universe(space
);
2592 return drop_constraints(map
, type
, first
, n
,
2593 &isl_basic_map_drop_constraints_not_involving_dims
);
2596 /* Drop all constraints in set that involve any of the dimensions
2597 * first to first + n - 1 of the given type.
2599 __isl_give isl_set
*isl_set_drop_constraints_involving_dims(
2600 __isl_take isl_set
*set
,
2601 enum isl_dim_type type
, unsigned first
, unsigned n
)
2603 return isl_map_drop_constraints_involving_dims(set
, type
, first
, n
);
2606 /* Drop all constraints in "set" that do not involve any of the dimensions
2607 * first to first + n - 1 of the given type.
2609 __isl_give isl_set
*isl_set_drop_constraints_not_involving_dims(
2610 __isl_take isl_set
*set
,
2611 enum isl_dim_type type
, unsigned first
, unsigned n
)
2613 return isl_map_drop_constraints_not_involving_dims(set
, type
, first
, n
);
2616 /* Does local variable "div" of "bmap" have a complete explicit representation?
2617 * Having a complete explicit representation requires not only
2618 * an explicit representation, but also that all local variables
2619 * that appear in this explicit representation in turn have
2620 * a complete explicit representation.
2622 isl_bool
isl_basic_map_div_is_known(__isl_keep isl_basic_map
*bmap
, int div
)
2625 unsigned div_offset
= isl_basic_map_offset(bmap
, isl_dim_div
);
2628 marked
= isl_basic_map_div_is_marked_unknown(bmap
, div
);
2629 if (marked
< 0 || marked
)
2630 return isl_bool_not(marked
);
2632 for (i
= bmap
->n_div
- 1; i
>= 0; --i
) {
2635 if (isl_int_is_zero(bmap
->div
[div
][1 + div_offset
+ i
]))
2637 known
= isl_basic_map_div_is_known(bmap
, i
);
2638 if (known
< 0 || !known
)
2642 return isl_bool_true
;
2645 /* Remove all divs that are unknown or defined in terms of unknown divs.
2647 __isl_give isl_basic_map
*isl_basic_map_remove_unknown_divs(
2648 __isl_take isl_basic_map
*bmap
)
2655 for (i
= bmap
->n_div
- 1; i
>= 0; --i
) {
2656 if (isl_basic_map_div_is_known(bmap
, i
))
2658 bmap
= isl_basic_map_remove_dims(bmap
, isl_dim_div
, i
, 1);
2667 /* Remove all divs that are unknown or defined in terms of unknown divs.
2669 __isl_give isl_basic_set
*isl_basic_set_remove_unknown_divs(
2670 __isl_take isl_basic_set
*bset
)
2672 return isl_basic_map_remove_unknown_divs(bset
);
2675 __isl_give isl_map
*isl_map_remove_unknown_divs(__isl_take isl_map
*map
)
2684 map
= isl_map_cow(map
);
2688 for (i
= 0; i
< map
->n
; ++i
) {
2689 map
->p
[i
] = isl_basic_map_remove_unknown_divs(map
->p
[i
]);
2699 __isl_give isl_set
*isl_set_remove_unknown_divs(__isl_take isl_set
*set
)
2701 return set_from_map(isl_map_remove_unknown_divs(set_to_map(set
)));
2704 __isl_give isl_basic_set
*isl_basic_set_remove_dims(
2705 __isl_take isl_basic_set
*bset
,
2706 enum isl_dim_type type
, unsigned first
, unsigned n
)
2708 isl_basic_map
*bmap
= bset_to_bmap(bset
);
2709 bmap
= isl_basic_map_remove_dims(bmap
, type
, first
, n
);
2710 return bset_from_bmap(bmap
);
2713 struct isl_map
*isl_map_remove_dims(struct isl_map
*map
,
2714 enum isl_dim_type type
, unsigned first
, unsigned n
)
2721 map
= isl_map_cow(map
);
2724 isl_assert(map
->ctx
, first
+ n
<= isl_map_dim(map
, type
), goto error
);
2726 for (i
= 0; i
< map
->n
; ++i
) {
2727 map
->p
[i
] = isl_basic_map_eliminate_vars(map
->p
[i
],
2728 isl_basic_map_offset(map
->p
[i
], type
) - 1 + first
, n
);
2732 map
= isl_map_drop(map
, type
, first
, n
);
2739 __isl_give isl_set
*isl_set_remove_dims(__isl_take isl_set
*bset
,
2740 enum isl_dim_type type
, unsigned first
, unsigned n
)
2742 return set_from_map(isl_map_remove_dims(set_to_map(bset
),
2746 /* Project out n inputs starting at first using Fourier-Motzkin */
2747 struct isl_map
*isl_map_remove_inputs(struct isl_map
*map
,
2748 unsigned first
, unsigned n
)
2750 return isl_map_remove_dims(map
, isl_dim_in
, first
, n
);
2753 static void dump_term(struct isl_basic_map
*bmap
,
2754 isl_int c
, int pos
, FILE *out
)
2757 unsigned in
= isl_basic_map_n_in(bmap
);
2758 unsigned dim
= in
+ isl_basic_map_n_out(bmap
);
2759 unsigned nparam
= isl_basic_map_n_param(bmap
);
2761 isl_int_print(out
, c
, 0);
2763 if (!isl_int_is_one(c
))
2764 isl_int_print(out
, c
, 0);
2765 if (pos
< 1 + nparam
) {
2766 name
= isl_space_get_dim_name(bmap
->dim
,
2767 isl_dim_param
, pos
- 1);
2769 fprintf(out
, "%s", name
);
2771 fprintf(out
, "p%d", pos
- 1);
2772 } else if (pos
< 1 + nparam
+ in
)
2773 fprintf(out
, "i%d", pos
- 1 - nparam
);
2774 else if (pos
< 1 + nparam
+ dim
)
2775 fprintf(out
, "o%d", pos
- 1 - nparam
- in
);
2777 fprintf(out
, "e%d", pos
- 1 - nparam
- dim
);
2781 static void dump_constraint_sign(struct isl_basic_map
*bmap
, isl_int
*c
,
2782 int sign
, FILE *out
)
2786 unsigned len
= 1 + isl_basic_map_total_dim(bmap
);
2790 for (i
= 0, first
= 1; i
< len
; ++i
) {
2791 if (isl_int_sgn(c
[i
]) * sign
<= 0)
2794 fprintf(out
, " + ");
2796 isl_int_abs(v
, c
[i
]);
2797 dump_term(bmap
, v
, i
, out
);
2804 static void dump_constraint(struct isl_basic_map
*bmap
, isl_int
*c
,
2805 const char *op
, FILE *out
, int indent
)
2809 fprintf(out
, "%*s", indent
, "");
2811 dump_constraint_sign(bmap
, c
, 1, out
);
2812 fprintf(out
, " %s ", op
);
2813 dump_constraint_sign(bmap
, c
, -1, out
);
2817 for (i
= bmap
->n_div
; i
< bmap
->extra
; ++i
) {
2818 if (isl_int_is_zero(c
[1+isl_space_dim(bmap
->dim
, isl_dim_all
)+i
]))
2820 fprintf(out
, "%*s", indent
, "");
2821 fprintf(out
, "ERROR: unused div coefficient not zero\n");
2826 static void dump_constraints(struct isl_basic_map
*bmap
,
2827 isl_int
**c
, unsigned n
,
2828 const char *op
, FILE *out
, int indent
)
2832 for (i
= 0; i
< n
; ++i
)
2833 dump_constraint(bmap
, c
[i
], op
, out
, indent
);
2836 static void dump_affine(struct isl_basic_map
*bmap
, isl_int
*exp
, FILE *out
)
2840 unsigned total
= isl_basic_map_total_dim(bmap
);
2842 for (j
= 0; j
< 1 + total
; ++j
) {
2843 if (isl_int_is_zero(exp
[j
]))
2845 if (!first
&& isl_int_is_pos(exp
[j
]))
2847 dump_term(bmap
, exp
[j
], j
, out
);
2852 static void dump(struct isl_basic_map
*bmap
, FILE *out
, int indent
)
2856 dump_constraints(bmap
, bmap
->eq
, bmap
->n_eq
, "=", out
, indent
);
2857 dump_constraints(bmap
, bmap
->ineq
, bmap
->n_ineq
, ">=", out
, indent
);
2859 for (i
= 0; i
< bmap
->n_div
; ++i
) {
2860 fprintf(out
, "%*s", indent
, "");
2861 fprintf(out
, "e%d = [(", i
);
2862 dump_affine(bmap
, bmap
->div
[i
]+1, out
);
2864 isl_int_print(out
, bmap
->div
[i
][0], 0);
2865 fprintf(out
, "]\n");
2869 void isl_basic_set_print_internal(struct isl_basic_set
*bset
,
2870 FILE *out
, int indent
)
2873 fprintf(out
, "null basic set\n");
2877 fprintf(out
, "%*s", indent
, "");
2878 fprintf(out
, "ref: %d, nparam: %d, dim: %d, extra: %d, flags: %x\n",
2879 bset
->ref
, bset
->dim
->nparam
, bset
->dim
->n_out
,
2880 bset
->extra
, bset
->flags
);
2881 dump(bset_to_bmap(bset
), out
, indent
);
2884 void isl_basic_map_print_internal(struct isl_basic_map
*bmap
,
2885 FILE *out
, int indent
)
2888 fprintf(out
, "null basic map\n");
2892 fprintf(out
, "%*s", indent
, "");
2893 fprintf(out
, "ref: %d, nparam: %d, in: %d, out: %d, extra: %d, "
2894 "flags: %x, n_name: %d\n",
2896 bmap
->dim
->nparam
, bmap
->dim
->n_in
, bmap
->dim
->n_out
,
2897 bmap
->extra
, bmap
->flags
, bmap
->dim
->n_id
);
2898 dump(bmap
, out
, indent
);
2901 int isl_inequality_negate(struct isl_basic_map
*bmap
, unsigned pos
)
2906 total
= isl_basic_map_total_dim(bmap
);
2907 isl_assert(bmap
->ctx
, pos
< bmap
->n_ineq
, return -1);
2908 isl_seq_neg(bmap
->ineq
[pos
], bmap
->ineq
[pos
], 1 + total
);
2909 isl_int_sub_ui(bmap
->ineq
[pos
][0], bmap
->ineq
[pos
][0], 1);
2910 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
2914 __isl_give isl_set
*isl_set_alloc_space(__isl_take isl_space
*space
, int n
,
2919 if (isl_space_dim(space
, isl_dim_in
) != 0)
2920 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
2921 "set cannot have input dimensions", goto error
);
2922 return isl_map_alloc_space(space
, n
, flags
);
2924 isl_space_free(space
);
2928 /* Make sure "map" has room for at least "n" more basic maps.
2930 struct isl_map
*isl_map_grow(struct isl_map
*map
, int n
)
2933 struct isl_map
*grown
= NULL
;
2937 isl_assert(map
->ctx
, n
>= 0, goto error
);
2938 if (map
->n
+ n
<= map
->size
)
2940 grown
= isl_map_alloc_space(isl_map_get_space(map
), map
->n
+ n
, map
->flags
);
2943 for (i
= 0; i
< map
->n
; ++i
) {
2944 grown
->p
[i
] = isl_basic_map_copy(map
->p
[i
]);
2952 isl_map_free(grown
);
2957 /* Make sure "set" has room for at least "n" more basic sets.
2959 struct isl_set
*isl_set_grow(struct isl_set
*set
, int n
)
2961 return set_from_map(isl_map_grow(set_to_map(set
), n
));
2964 struct isl_set
*isl_set_from_basic_set(struct isl_basic_set
*bset
)
2966 return isl_map_from_basic_map(bset
);
2969 struct isl_map
*isl_map_from_basic_map(struct isl_basic_map
*bmap
)
2971 struct isl_map
*map
;
2976 map
= isl_map_alloc_space(isl_space_copy(bmap
->dim
), 1, ISL_MAP_DISJOINT
);
2977 return isl_map_add_basic_map(map
, bmap
);
2980 __isl_give isl_set
*isl_set_add_basic_set(__isl_take isl_set
*set
,
2981 __isl_take isl_basic_set
*bset
)
2983 return set_from_map(isl_map_add_basic_map(set_to_map(set
),
2984 bset_to_bmap(bset
)));
2987 __isl_null isl_set
*isl_set_free(__isl_take isl_set
*set
)
2989 return isl_map_free(set
);
2992 void isl_set_print_internal(struct isl_set
*set
, FILE *out
, int indent
)
2997 fprintf(out
, "null set\n");
3001 fprintf(out
, "%*s", indent
, "");
3002 fprintf(out
, "ref: %d, n: %d, nparam: %d, dim: %d, flags: %x\n",
3003 set
->ref
, set
->n
, set
->dim
->nparam
, set
->dim
->n_out
,
3005 for (i
= 0; i
< set
->n
; ++i
) {
3006 fprintf(out
, "%*s", indent
, "");
3007 fprintf(out
, "basic set %d:\n", i
);
3008 isl_basic_set_print_internal(set
->p
[i
], out
, indent
+4);
3012 void isl_map_print_internal(struct isl_map
*map
, FILE *out
, int indent
)
3017 fprintf(out
, "null map\n");
3021 fprintf(out
, "%*s", indent
, "");
3022 fprintf(out
, "ref: %d, n: %d, nparam: %d, in: %d, out: %d, "
3023 "flags: %x, n_name: %d\n",
3024 map
->ref
, map
->n
, map
->dim
->nparam
, map
->dim
->n_in
,
3025 map
->dim
->n_out
, map
->flags
, map
->dim
->n_id
);
3026 for (i
= 0; i
< map
->n
; ++i
) {
3027 fprintf(out
, "%*s", indent
, "");
3028 fprintf(out
, "basic map %d:\n", i
);
3029 isl_basic_map_print_internal(map
->p
[i
], out
, indent
+4);
3033 struct isl_basic_map
*isl_basic_map_intersect_domain(
3034 struct isl_basic_map
*bmap
, struct isl_basic_set
*bset
)
3036 struct isl_basic_map
*bmap_domain
;
3041 isl_assert(bset
->ctx
, isl_space_match(bmap
->dim
, isl_dim_param
,
3042 bset
->dim
, isl_dim_param
), goto error
);
3044 if (isl_space_dim(bset
->dim
, isl_dim_set
) != 0)
3045 isl_assert(bset
->ctx
,
3046 isl_basic_map_compatible_domain(bmap
, bset
), goto error
);
3048 bmap
= isl_basic_map_cow(bmap
);
3051 bmap
= isl_basic_map_extend_space(bmap
, isl_space_copy(bmap
->dim
),
3052 bset
->n_div
, bset
->n_eq
, bset
->n_ineq
);
3053 bmap_domain
= isl_basic_map_from_domain(bset
);
3054 bmap
= add_constraints(bmap
, bmap_domain
, 0, 0);
3056 bmap
= isl_basic_map_simplify(bmap
);
3057 return isl_basic_map_finalize(bmap
);
3059 isl_basic_map_free(bmap
);
3060 isl_basic_set_free(bset
);
3064 /* Check that the space of "bset" is the same as that of the range of "bmap".
3066 static isl_stat
isl_basic_map_check_compatible_range(
3067 __isl_keep isl_basic_map
*bmap
, __isl_keep isl_basic_set
*bset
)
3071 ok
= isl_basic_map_compatible_range(bmap
, bset
);
3073 return isl_stat_error
;
3075 isl_die(isl_basic_set_get_ctx(bset
), isl_error_invalid
,
3076 "incompatible spaces", return isl_stat_error
);
3081 struct isl_basic_map
*isl_basic_map_intersect_range(
3082 struct isl_basic_map
*bmap
, struct isl_basic_set
*bset
)
3084 struct isl_basic_map
*bmap_range
;
3089 isl_assert(bset
->ctx
, isl_space_match(bmap
->dim
, isl_dim_param
,
3090 bset
->dim
, isl_dim_param
), goto error
);
3092 if (isl_space_dim(bset
->dim
, isl_dim_set
) != 0 &&
3093 isl_basic_map_check_compatible_range(bmap
, bset
) < 0)
3096 if (isl_basic_set_plain_is_universe(bset
)) {
3097 isl_basic_set_free(bset
);
3101 bmap
= isl_basic_map_cow(bmap
);
3104 bmap
= isl_basic_map_extend_space(bmap
, isl_space_copy(bmap
->dim
),
3105 bset
->n_div
, bset
->n_eq
, bset
->n_ineq
);
3106 bmap_range
= bset_to_bmap(bset
);
3107 bmap
= add_constraints(bmap
, bmap_range
, 0, 0);
3109 bmap
= isl_basic_map_simplify(bmap
);
3110 return isl_basic_map_finalize(bmap
);
3112 isl_basic_map_free(bmap
);
3113 isl_basic_set_free(bset
);
3117 isl_bool
isl_basic_map_contains(__isl_keep isl_basic_map
*bmap
,
3118 __isl_keep isl_vec
*vec
)
3125 return isl_bool_error
;
3127 total
= 1 + isl_basic_map_total_dim(bmap
);
3128 if (total
!= vec
->size
)
3129 return isl_bool_false
;
3133 for (i
= 0; i
< bmap
->n_eq
; ++i
) {
3134 isl_seq_inner_product(vec
->el
, bmap
->eq
[i
], total
, &s
);
3135 if (!isl_int_is_zero(s
)) {
3137 return isl_bool_false
;
3141 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
3142 isl_seq_inner_product(vec
->el
, bmap
->ineq
[i
], total
, &s
);
3143 if (isl_int_is_neg(s
)) {
3145 return isl_bool_false
;
3151 return isl_bool_true
;
3154 isl_bool
isl_basic_set_contains(__isl_keep isl_basic_set
*bset
,
3155 __isl_keep isl_vec
*vec
)
3157 return isl_basic_map_contains(bset_to_bmap(bset
), vec
);
3160 struct isl_basic_map
*isl_basic_map_intersect(
3161 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
3163 struct isl_vec
*sample
= NULL
;
3165 if (!bmap1
|| !bmap2
)
3168 isl_assert(bmap1
->ctx
, isl_space_match(bmap1
->dim
, isl_dim_param
,
3169 bmap2
->dim
, isl_dim_param
), goto error
);
3170 if (isl_space_dim(bmap1
->dim
, isl_dim_all
) ==
3171 isl_space_dim(bmap1
->dim
, isl_dim_param
) &&
3172 isl_space_dim(bmap2
->dim
, isl_dim_all
) !=
3173 isl_space_dim(bmap2
->dim
, isl_dim_param
))
3174 return isl_basic_map_intersect(bmap2
, bmap1
);
3176 if (isl_space_dim(bmap2
->dim
, isl_dim_all
) !=
3177 isl_space_dim(bmap2
->dim
, isl_dim_param
))
3178 isl_assert(bmap1
->ctx
,
3179 isl_space_is_equal(bmap1
->dim
, bmap2
->dim
), goto error
);
3181 if (isl_basic_map_plain_is_empty(bmap1
)) {
3182 isl_basic_map_free(bmap2
);
3185 if (isl_basic_map_plain_is_empty(bmap2
)) {
3186 isl_basic_map_free(bmap1
);
3190 if (bmap1
->sample
&&
3191 isl_basic_map_contains(bmap1
, bmap1
->sample
) > 0 &&
3192 isl_basic_map_contains(bmap2
, bmap1
->sample
) > 0)
3193 sample
= isl_vec_copy(bmap1
->sample
);
3194 else if (bmap2
->sample
&&
3195 isl_basic_map_contains(bmap1
, bmap2
->sample
) > 0 &&
3196 isl_basic_map_contains(bmap2
, bmap2
->sample
) > 0)
3197 sample
= isl_vec_copy(bmap2
->sample
);
3199 bmap1
= isl_basic_map_cow(bmap1
);
3202 bmap1
= isl_basic_map_extend_space(bmap1
, isl_space_copy(bmap1
->dim
),
3203 bmap2
->n_div
, bmap2
->n_eq
, bmap2
->n_ineq
);
3204 bmap1
= add_constraints(bmap1
, bmap2
, 0, 0);
3207 isl_vec_free(sample
);
3209 isl_vec_free(bmap1
->sample
);
3210 bmap1
->sample
= sample
;
3213 bmap1
= isl_basic_map_simplify(bmap1
);
3214 return isl_basic_map_finalize(bmap1
);
3217 isl_vec_free(sample
);
3218 isl_basic_map_free(bmap1
);
3219 isl_basic_map_free(bmap2
);
3223 struct isl_basic_set
*isl_basic_set_intersect(
3224 struct isl_basic_set
*bset1
, struct isl_basic_set
*bset2
)
3226 return bset_from_bmap(isl_basic_map_intersect(bset_to_bmap(bset1
),
3227 bset_to_bmap(bset2
)));
3230 __isl_give isl_basic_set
*isl_basic_set_intersect_params(
3231 __isl_take isl_basic_set
*bset1
, __isl_take isl_basic_set
*bset2
)
3233 return isl_basic_set_intersect(bset1
, bset2
);
3236 /* Special case of isl_map_intersect, where both map1 and map2
3237 * are convex, without any divs and such that either map1 or map2
3238 * contains a single constraint. This constraint is then simply
3239 * added to the other map.
3241 static __isl_give isl_map
*map_intersect_add_constraint(
3242 __isl_take isl_map
*map1
, __isl_take isl_map
*map2
)
3244 isl_assert(map1
->ctx
, map1
->n
== 1, goto error
);
3245 isl_assert(map2
->ctx
, map1
->n
== 1, goto error
);
3246 isl_assert(map1
->ctx
, map1
->p
[0]->n_div
== 0, goto error
);
3247 isl_assert(map2
->ctx
, map1
->p
[0]->n_div
== 0, goto error
);
3249 if (map2
->p
[0]->n_eq
+ map2
->p
[0]->n_ineq
!= 1)
3250 return isl_map_intersect(map2
, map1
);
3252 map1
= isl_map_cow(map1
);
3255 if (isl_map_plain_is_empty(map1
)) {
3259 map1
->p
[0] = isl_basic_map_cow(map1
->p
[0]);
3260 if (map2
->p
[0]->n_eq
== 1)
3261 map1
->p
[0] = isl_basic_map_add_eq(map1
->p
[0], map2
->p
[0]->eq
[0]);
3263 map1
->p
[0] = isl_basic_map_add_ineq(map1
->p
[0],
3264 map2
->p
[0]->ineq
[0]);
3266 map1
->p
[0] = isl_basic_map_simplify(map1
->p
[0]);
3267 map1
->p
[0] = isl_basic_map_finalize(map1
->p
[0]);
3271 if (isl_basic_map_plain_is_empty(map1
->p
[0])) {
3272 isl_basic_map_free(map1
->p
[0]);
3285 /* map2 may be either a parameter domain or a map living in the same
3288 static __isl_give isl_map
*map_intersect_internal(__isl_take isl_map
*map1
,
3289 __isl_take isl_map
*map2
)
3298 if ((isl_map_plain_is_empty(map1
) ||
3299 isl_map_plain_is_universe(map2
)) &&
3300 isl_space_is_equal(map1
->dim
, map2
->dim
)) {
3304 if ((isl_map_plain_is_empty(map2
) ||
3305 isl_map_plain_is_universe(map1
)) &&
3306 isl_space_is_equal(map1
->dim
, map2
->dim
)) {
3311 if (map1
->n
== 1 && map2
->n
== 1 &&
3312 map1
->p
[0]->n_div
== 0 && map2
->p
[0]->n_div
== 0 &&
3313 isl_space_is_equal(map1
->dim
, map2
->dim
) &&
3314 (map1
->p
[0]->n_eq
+ map1
->p
[0]->n_ineq
== 1 ||
3315 map2
->p
[0]->n_eq
+ map2
->p
[0]->n_ineq
== 1))
3316 return map_intersect_add_constraint(map1
, map2
);
3318 if (isl_space_dim(map2
->dim
, isl_dim_all
) !=
3319 isl_space_dim(map2
->dim
, isl_dim_param
))
3320 isl_assert(map1
->ctx
,
3321 isl_space_is_equal(map1
->dim
, map2
->dim
), goto error
);
3323 if (ISL_F_ISSET(map1
, ISL_MAP_DISJOINT
) &&
3324 ISL_F_ISSET(map2
, ISL_MAP_DISJOINT
))
3325 ISL_FL_SET(flags
, ISL_MAP_DISJOINT
);
3327 result
= isl_map_alloc_space(isl_space_copy(map1
->dim
),
3328 map1
->n
* map2
->n
, flags
);
3331 for (i
= 0; i
< map1
->n
; ++i
)
3332 for (j
= 0; j
< map2
->n
; ++j
) {
3333 struct isl_basic_map
*part
;
3334 part
= isl_basic_map_intersect(
3335 isl_basic_map_copy(map1
->p
[i
]),
3336 isl_basic_map_copy(map2
->p
[j
]));
3337 if (isl_basic_map_is_empty(part
) < 0)
3338 part
= isl_basic_map_free(part
);
3339 result
= isl_map_add_basic_map(result
, part
);
3352 static __isl_give isl_map
*map_intersect(__isl_take isl_map
*map1
,
3353 __isl_take isl_map
*map2
)
3357 if (!isl_space_is_equal(map1
->dim
, map2
->dim
))
3358 isl_die(isl_map_get_ctx(map1
), isl_error_invalid
,
3359 "spaces don't match", goto error
);
3360 return map_intersect_internal(map1
, map2
);
3367 __isl_give isl_map
*isl_map_intersect(__isl_take isl_map
*map1
,
3368 __isl_take isl_map
*map2
)
3370 return isl_map_align_params_map_map_and(map1
, map2
, &map_intersect
);
3373 struct isl_set
*isl_set_intersect(struct isl_set
*set1
, struct isl_set
*set2
)
3375 return set_from_map(isl_map_intersect(set_to_map(set1
),
3379 /* map_intersect_internal accepts intersections
3380 * with parameter domains, so we can just call that function.
3382 static __isl_give isl_map
*map_intersect_params(__isl_take isl_map
*map
,
3383 __isl_take isl_set
*params
)
3385 return map_intersect_internal(map
, params
);
3388 __isl_give isl_map
*isl_map_intersect_params(__isl_take isl_map
*map1
,
3389 __isl_take isl_map
*map2
)
3391 return isl_map_align_params_map_map_and(map1
, map2
, &map_intersect_params
);
3394 __isl_give isl_set
*isl_set_intersect_params(__isl_take isl_set
*set
,
3395 __isl_take isl_set
*params
)
3397 return isl_map_intersect_params(set
, params
);
3400 struct isl_basic_map
*isl_basic_map_reverse(struct isl_basic_map
*bmap
)
3403 unsigned pos
, n1
, n2
;
3407 bmap
= isl_basic_map_cow(bmap
);
3410 space
= isl_space_reverse(isl_space_copy(bmap
->dim
));
3411 pos
= isl_basic_map_offset(bmap
, isl_dim_in
);
3412 n1
= isl_basic_map_dim(bmap
, isl_dim_in
);
3413 n2
= isl_basic_map_dim(bmap
, isl_dim_out
);
3414 bmap
= isl_basic_map_swap_vars(bmap
, pos
, n1
, n2
);
3415 return isl_basic_map_reset_space(bmap
, space
);
3418 static __isl_give isl_basic_map
*basic_map_space_reset(
3419 __isl_take isl_basic_map
*bmap
, enum isl_dim_type type
)
3425 if (!isl_space_is_named_or_nested(bmap
->dim
, type
))
3428 space
= isl_basic_map_get_space(bmap
);
3429 space
= isl_space_reset(space
, type
);
3430 bmap
= isl_basic_map_reset_space(bmap
, space
);
3434 __isl_give isl_basic_map
*isl_basic_map_insert_dims(
3435 __isl_take isl_basic_map
*bmap
, enum isl_dim_type type
,
3436 unsigned pos
, unsigned n
)
3440 struct isl_basic_map
*res
;
3441 struct isl_dim_map
*dim_map
;
3442 unsigned total
, off
;
3443 enum isl_dim_type t
;
3446 return basic_map_space_reset(bmap
, type
);
3451 res_dim
= isl_space_insert_dims(isl_basic_map_get_space(bmap
), type
, pos
, n
);
3453 total
= isl_basic_map_total_dim(bmap
) + n
;
3454 dim_map
= isl_dim_map_alloc(bmap
->ctx
, total
);
3456 for (t
= isl_dim_param
; t
<= isl_dim_out
; ++t
) {
3458 isl_dim_map_dim(dim_map
, bmap
->dim
, t
, off
);
3460 unsigned size
= isl_basic_map_dim(bmap
, t
);
3461 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3463 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3464 pos
, size
- pos
, off
+ pos
+ n
);
3466 off
+= isl_space_dim(res_dim
, t
);
3468 isl_dim_map_div(dim_map
, bmap
, off
);
3470 res
= isl_basic_map_alloc_space(res_dim
,
3471 bmap
->n_div
, bmap
->n_eq
, bmap
->n_ineq
);
3472 rational
= isl_basic_map_is_rational(bmap
);
3474 res
= isl_basic_map_free(res
);
3476 res
= isl_basic_map_set_rational(res
);
3477 if (isl_basic_map_plain_is_empty(bmap
)) {
3478 isl_basic_map_free(bmap
);
3480 return isl_basic_map_set_to_empty(res
);
3482 res
= isl_basic_map_add_constraints_dim_map(res
, bmap
, dim_map
);
3483 return isl_basic_map_finalize(res
);
3486 __isl_give isl_basic_set
*isl_basic_set_insert_dims(
3487 __isl_take isl_basic_set
*bset
,
3488 enum isl_dim_type type
, unsigned pos
, unsigned n
)
3490 return isl_basic_map_insert_dims(bset
, type
, pos
, n
);
3493 __isl_give isl_basic_map
*isl_basic_map_add_dims(__isl_take isl_basic_map
*bmap
,
3494 enum isl_dim_type type
, unsigned n
)
3498 return isl_basic_map_insert_dims(bmap
, type
,
3499 isl_basic_map_dim(bmap
, type
), n
);
3502 __isl_give isl_basic_set
*isl_basic_set_add_dims(__isl_take isl_basic_set
*bset
,
3503 enum isl_dim_type type
, unsigned n
)
3507 isl_assert(bset
->ctx
, type
!= isl_dim_in
, goto error
);
3508 return isl_basic_map_add_dims(bset
, type
, n
);
3510 isl_basic_set_free(bset
);
3514 static __isl_give isl_map
*map_space_reset(__isl_take isl_map
*map
,
3515 enum isl_dim_type type
)
3519 if (!map
|| !isl_space_is_named_or_nested(map
->dim
, type
))
3522 space
= isl_map_get_space(map
);
3523 space
= isl_space_reset(space
, type
);
3524 map
= isl_map_reset_space(map
, space
);
3528 __isl_give isl_map
*isl_map_insert_dims(__isl_take isl_map
*map
,
3529 enum isl_dim_type type
, unsigned pos
, unsigned n
)
3534 return map_space_reset(map
, type
);
3536 map
= isl_map_cow(map
);
3540 map
->dim
= isl_space_insert_dims(map
->dim
, type
, pos
, n
);
3544 for (i
= 0; i
< map
->n
; ++i
) {
3545 map
->p
[i
] = isl_basic_map_insert_dims(map
->p
[i
], type
, pos
, n
);
3556 __isl_give isl_set
*isl_set_insert_dims(__isl_take isl_set
*set
,
3557 enum isl_dim_type type
, unsigned pos
, unsigned n
)
3559 return isl_map_insert_dims(set
, type
, pos
, n
);
3562 __isl_give isl_map
*isl_map_add_dims(__isl_take isl_map
*map
,
3563 enum isl_dim_type type
, unsigned n
)
3567 return isl_map_insert_dims(map
, type
, isl_map_dim(map
, type
), n
);
3570 __isl_give isl_set
*isl_set_add_dims(__isl_take isl_set
*set
,
3571 enum isl_dim_type type
, unsigned n
)
3575 isl_assert(set
->ctx
, type
!= isl_dim_in
, goto error
);
3576 return set_from_map(isl_map_add_dims(set_to_map(set
), type
, n
));
3582 __isl_give isl_basic_map
*isl_basic_map_move_dims(
3583 __isl_take isl_basic_map
*bmap
,
3584 enum isl_dim_type dst_type
, unsigned dst_pos
,
3585 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
3587 struct isl_dim_map
*dim_map
;
3588 struct isl_basic_map
*res
;
3589 enum isl_dim_type t
;
3590 unsigned total
, off
;
3597 if (isl_basic_map_check_range(bmap
, src_type
, src_pos
, n
) < 0)
3598 return isl_basic_map_free(bmap
);
3600 if (dst_type
== src_type
&& dst_pos
== src_pos
)
3603 isl_assert(bmap
->ctx
, dst_type
!= src_type
, goto error
);
3605 if (pos(bmap
->dim
, dst_type
) + dst_pos
==
3606 pos(bmap
->dim
, src_type
) + src_pos
+
3607 ((src_type
< dst_type
) ? n
: 0)) {
3608 bmap
= isl_basic_map_cow(bmap
);
3612 bmap
->dim
= isl_space_move_dims(bmap
->dim
, dst_type
, dst_pos
,
3613 src_type
, src_pos
, n
);
3617 bmap
= isl_basic_map_finalize(bmap
);
3622 total
= isl_basic_map_total_dim(bmap
);
3623 dim_map
= isl_dim_map_alloc(bmap
->ctx
, total
);
3626 for (t
= isl_dim_param
; t
<= isl_dim_out
; ++t
) {
3627 unsigned size
= isl_space_dim(bmap
->dim
, t
);
3628 if (t
== dst_type
) {
3629 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3632 isl_dim_map_dim_range(dim_map
, bmap
->dim
, src_type
,
3635 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3636 dst_pos
, size
- dst_pos
, off
);
3637 off
+= size
- dst_pos
;
3638 } else if (t
== src_type
) {
3639 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3642 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3643 src_pos
+ n
, size
- src_pos
- n
, off
);
3644 off
+= size
- src_pos
- n
;
3646 isl_dim_map_dim(dim_map
, bmap
->dim
, t
, off
);
3650 isl_dim_map_div(dim_map
, bmap
, off
);
3652 res
= isl_basic_map_alloc_space(isl_basic_map_get_space(bmap
),
3653 bmap
->n_div
, bmap
->n_eq
, bmap
->n_ineq
);
3654 bmap
= isl_basic_map_add_constraints_dim_map(res
, bmap
, dim_map
);
3658 bmap
->dim
= isl_space_move_dims(bmap
->dim
, dst_type
, dst_pos
,
3659 src_type
, src_pos
, n
);
3663 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
3664 bmap
= isl_basic_map_gauss(bmap
, NULL
);
3665 bmap
= isl_basic_map_finalize(bmap
);
3669 isl_basic_map_free(bmap
);
3673 __isl_give isl_basic_set
*isl_basic_set_move_dims(__isl_take isl_basic_set
*bset
,
3674 enum isl_dim_type dst_type
, unsigned dst_pos
,
3675 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
3677 isl_basic_map
*bmap
= bset_to_bmap(bset
);
3678 bmap
= isl_basic_map_move_dims(bmap
, dst_type
, dst_pos
,
3679 src_type
, src_pos
, n
);
3680 return bset_from_bmap(bmap
);
3683 __isl_give isl_set
*isl_set_move_dims(__isl_take isl_set
*set
,
3684 enum isl_dim_type dst_type
, unsigned dst_pos
,
3685 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
3689 isl_assert(set
->ctx
, dst_type
!= isl_dim_in
, goto error
);
3690 return set_from_map(isl_map_move_dims(set_to_map(set
),
3691 dst_type
, dst_pos
, src_type
, src_pos
, n
));
3697 __isl_give isl_map
*isl_map_move_dims(__isl_take isl_map
*map
,
3698 enum isl_dim_type dst_type
, unsigned dst_pos
,
3699 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
3708 isl_assert(map
->ctx
, src_pos
+ n
<= isl_map_dim(map
, src_type
),
3711 if (dst_type
== src_type
&& dst_pos
== src_pos
)
3714 isl_assert(map
->ctx
, dst_type
!= src_type
, goto error
);
3716 map
= isl_map_cow(map
);
3720 map
->dim
= isl_space_move_dims(map
->dim
, dst_type
, dst_pos
, src_type
, src_pos
, n
);
3724 for (i
= 0; i
< map
->n
; ++i
) {
3725 map
->p
[i
] = isl_basic_map_move_dims(map
->p
[i
],
3727 src_type
, src_pos
, n
);
3738 /* Move the specified dimensions to the last columns right before
3739 * the divs. Don't change the dimension specification of bmap.
3740 * That's the responsibility of the caller.
3742 static __isl_give isl_basic_map
*move_last(__isl_take isl_basic_map
*bmap
,
3743 enum isl_dim_type type
, unsigned first
, unsigned n
)
3745 struct isl_dim_map
*dim_map
;
3746 struct isl_basic_map
*res
;
3747 enum isl_dim_type t
;
3748 unsigned total
, off
;
3752 if (pos(bmap
->dim
, type
) + first
+ n
==
3753 1 + isl_space_dim(bmap
->dim
, isl_dim_all
))
3756 total
= isl_basic_map_total_dim(bmap
);
3757 dim_map
= isl_dim_map_alloc(bmap
->ctx
, total
);
3760 for (t
= isl_dim_param
; t
<= isl_dim_out
; ++t
) {
3761 unsigned size
= isl_space_dim(bmap
->dim
, t
);
3763 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3766 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3767 first
, n
, total
- bmap
->n_div
- n
);
3768 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
3769 first
+ n
, size
- (first
+ n
), off
);
3770 off
+= size
- (first
+ n
);
3772 isl_dim_map_dim(dim_map
, bmap
->dim
, t
, off
);
3776 isl_dim_map_div(dim_map
, bmap
, off
+ n
);
3778 res
= isl_basic_map_alloc_space(isl_basic_map_get_space(bmap
),
3779 bmap
->n_div
, bmap
->n_eq
, bmap
->n_ineq
);
3780 res
= isl_basic_map_add_constraints_dim_map(res
, bmap
, dim_map
);
3784 /* Insert "n" rows in the divs of "bmap".
3786 * The number of columns is not changed, which means that the last
3787 * dimensions of "bmap" are being reintepreted as the new divs.
3788 * The space of "bmap" is not adjusted, however, which means
3789 * that "bmap" is left in an inconsistent state. Removing "n" dimensions
3790 * from the space of "bmap" is the responsibility of the caller.
3792 static __isl_give isl_basic_map
*insert_div_rows(__isl_take isl_basic_map
*bmap
,
3800 bmap
= isl_basic_map_cow(bmap
);
3804 row_size
= 1 + isl_space_dim(bmap
->dim
, isl_dim_all
) + bmap
->extra
;
3805 old
= bmap
->block2
.data
;
3806 bmap
->block2
= isl_blk_extend(bmap
->ctx
, bmap
->block2
,
3807 (bmap
->extra
+ n
) * (1 + row_size
));
3808 if (!bmap
->block2
.data
)
3809 return isl_basic_map_free(bmap
);
3810 new_div
= isl_alloc_array(bmap
->ctx
, isl_int
*, bmap
->extra
+ n
);
3812 return isl_basic_map_free(bmap
);
3813 for (i
= 0; i
< n
; ++i
) {
3814 new_div
[i
] = bmap
->block2
.data
+
3815 (bmap
->extra
+ i
) * (1 + row_size
);
3816 isl_seq_clr(new_div
[i
], 1 + row_size
);
3818 for (i
= 0; i
< bmap
->extra
; ++i
)
3819 new_div
[n
+ i
] = bmap
->block2
.data
+ (bmap
->div
[i
] - old
);
3821 bmap
->div
= new_div
;
3828 /* Drop constraints from "bmap" that only involve the variables
3829 * of "type" in the range [first, first + n] that are not related
3830 * to any of the variables outside that interval.
3831 * These constraints cannot influence the values for the variables
3832 * outside the interval, except in case they cause "bmap" to be empty.
3833 * Only drop the constraints if "bmap" is known to be non-empty.
3835 static __isl_give isl_basic_map
*drop_irrelevant_constraints(
3836 __isl_take isl_basic_map
*bmap
, enum isl_dim_type type
,
3837 unsigned first
, unsigned n
)
3841 unsigned dim
, n_div
;
3844 non_empty
= isl_basic_map_plain_is_non_empty(bmap
);
3846 return isl_basic_map_free(bmap
);
3850 dim
= isl_basic_map_dim(bmap
, isl_dim_all
);
3851 n_div
= isl_basic_map_dim(bmap
, isl_dim_div
);
3852 groups
= isl_calloc_array(isl_basic_map_get_ctx(bmap
), int, dim
);
3854 return isl_basic_map_free(bmap
);
3855 first
+= isl_basic_map_offset(bmap
, type
) - 1;
3856 for (i
= 0; i
< first
; ++i
)
3858 for (i
= first
+ n
; i
< dim
- n_div
; ++i
)
3861 bmap
= isl_basic_map_drop_unrelated_constraints(bmap
, groups
);
3866 /* Turn the n dimensions of type type, starting at first
3867 * into existentially quantified variables.
3869 * If a subset of the projected out variables are unrelated
3870 * to any of the variables that remain, then the constraints
3871 * involving this subset are simply dropped first.
3873 __isl_give isl_basic_map
*isl_basic_map_project_out(
3874 __isl_take isl_basic_map
*bmap
,
3875 enum isl_dim_type type
, unsigned first
, unsigned n
)
3878 return basic_map_space_reset(bmap
, type
);
3879 if (type
== isl_dim_div
)
3880 isl_die(isl_basic_map_get_ctx(bmap
), isl_error_invalid
,
3881 "cannot project out existentially quantified variables",
3882 return isl_basic_map_free(bmap
));
3884 bmap
= drop_irrelevant_constraints(bmap
, type
, first
, n
);
3888 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_RATIONAL
))
3889 return isl_basic_map_remove_dims(bmap
, type
, first
, n
);
3891 if (isl_basic_map_check_range(bmap
, type
, first
, n
) < 0)
3892 return isl_basic_map_free(bmap
);
3894 bmap
= move_last(bmap
, type
, first
, n
);
3895 bmap
= isl_basic_map_cow(bmap
);
3896 bmap
= insert_div_rows(bmap
, n
);
3900 bmap
->dim
= isl_space_drop_dims(bmap
->dim
, type
, first
, n
);
3903 bmap
= isl_basic_map_simplify(bmap
);
3904 bmap
= isl_basic_map_drop_redundant_divs(bmap
);
3905 return isl_basic_map_finalize(bmap
);
3907 isl_basic_map_free(bmap
);
3911 /* Turn the n dimensions of type type, starting at first
3912 * into existentially quantified variables.
3914 struct isl_basic_set
*isl_basic_set_project_out(struct isl_basic_set
*bset
,
3915 enum isl_dim_type type
, unsigned first
, unsigned n
)
3917 return bset_from_bmap(isl_basic_map_project_out(bset_to_bmap(bset
),
3921 /* Turn the n dimensions of type type, starting at first
3922 * into existentially quantified variables.
3924 __isl_give isl_map
*isl_map_project_out(__isl_take isl_map
*map
,
3925 enum isl_dim_type type
, unsigned first
, unsigned n
)
3933 return map_space_reset(map
, type
);
3935 isl_assert(map
->ctx
, first
+ n
<= isl_map_dim(map
, type
), goto error
);
3937 map
= isl_map_cow(map
);
3941 map
->dim
= isl_space_drop_dims(map
->dim
, type
, first
, n
);
3945 for (i
= 0; i
< map
->n
; ++i
) {
3946 map
->p
[i
] = isl_basic_map_project_out(map
->p
[i
], type
, first
, n
);
3957 /* Turn the n dimensions of type type, starting at first
3958 * into existentially quantified variables.
3960 __isl_give isl_set
*isl_set_project_out(__isl_take isl_set
*set
,
3961 enum isl_dim_type type
, unsigned first
, unsigned n
)
3963 return set_from_map(isl_map_project_out(set_to_map(set
),
3967 /* Return a map that projects the elements in "set" onto their
3968 * "n" set dimensions starting at "first".
3969 * "type" should be equal to isl_dim_set.
3971 __isl_give isl_map
*isl_set_project_onto_map(__isl_take isl_set
*set
,
3972 enum isl_dim_type type
, unsigned first
, unsigned n
)
3980 if (type
!= isl_dim_set
)
3981 isl_die(isl_set_get_ctx(set
), isl_error_invalid
,
3982 "only set dimensions can be projected out", goto error
);
3983 dim
= isl_set_dim(set
, isl_dim_set
);
3984 if (first
+ n
> dim
|| first
+ n
< first
)
3985 isl_die(isl_set_get_ctx(set
), isl_error_invalid
,
3986 "index out of bounds", goto error
);
3988 map
= isl_map_from_domain(set
);
3989 map
= isl_map_add_dims(map
, isl_dim_out
, n
);
3990 for (i
= 0; i
< n
; ++i
)
3991 map
= isl_map_equate(map
, isl_dim_in
, first
+ i
,
3999 static struct isl_basic_map
*add_divs(struct isl_basic_map
*bmap
, unsigned n
)
4003 for (i
= 0; i
< n
; ++i
) {
4004 j
= isl_basic_map_alloc_div(bmap
);
4007 isl_seq_clr(bmap
->div
[j
], 1+1+isl_basic_map_total_dim(bmap
));
4011 isl_basic_map_free(bmap
);
4015 struct isl_basic_map
*isl_basic_map_apply_range(
4016 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
4018 isl_space
*dim_result
= NULL
;
4019 struct isl_basic_map
*bmap
;
4020 unsigned n_in
, n_out
, n
, nparam
, total
, pos
;
4021 struct isl_dim_map
*dim_map1
, *dim_map2
;
4023 if (!bmap1
|| !bmap2
)
4025 if (!isl_space_match(bmap1
->dim
, isl_dim_param
,
4026 bmap2
->dim
, isl_dim_param
))
4027 isl_die(isl_basic_map_get_ctx(bmap1
), isl_error_invalid
,
4028 "parameters don't match", goto error
);
4029 if (!isl_space_tuple_is_equal(bmap1
->dim
, isl_dim_out
,
4030 bmap2
->dim
, isl_dim_in
))
4031 isl_die(isl_basic_map_get_ctx(bmap1
), isl_error_invalid
,
4032 "spaces don't match", goto error
);
4034 dim_result
= isl_space_join(isl_space_copy(bmap1
->dim
),
4035 isl_space_copy(bmap2
->dim
));
4037 n_in
= isl_basic_map_n_in(bmap1
);
4038 n_out
= isl_basic_map_n_out(bmap2
);
4039 n
= isl_basic_map_n_out(bmap1
);
4040 nparam
= isl_basic_map_n_param(bmap1
);
4042 total
= nparam
+ n_in
+ n_out
+ bmap1
->n_div
+ bmap2
->n_div
+ n
;
4043 dim_map1
= isl_dim_map_alloc(bmap1
->ctx
, total
);
4044 dim_map2
= isl_dim_map_alloc(bmap1
->ctx
, total
);
4045 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_param
, pos
= 0);
4046 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_param
, pos
= 0);
4047 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_in
, pos
+= nparam
);
4048 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_out
, pos
+= n_in
);
4049 isl_dim_map_div(dim_map1
, bmap1
, pos
+= n_out
);
4050 isl_dim_map_div(dim_map2
, bmap2
, pos
+= bmap1
->n_div
);
4051 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_out
, pos
+= bmap2
->n_div
);
4052 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_in
, pos
);
4054 bmap
= isl_basic_map_alloc_space(dim_result
,
4055 bmap1
->n_div
+ bmap2
->n_div
+ n
,
4056 bmap1
->n_eq
+ bmap2
->n_eq
,
4057 bmap1
->n_ineq
+ bmap2
->n_ineq
);
4058 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap1
, dim_map1
);
4059 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap2
, dim_map2
);
4060 bmap
= add_divs(bmap
, n
);
4061 bmap
= isl_basic_map_simplify(bmap
);
4062 bmap
= isl_basic_map_drop_redundant_divs(bmap
);
4063 return isl_basic_map_finalize(bmap
);
4065 isl_basic_map_free(bmap1
);
4066 isl_basic_map_free(bmap2
);
4070 struct isl_basic_set
*isl_basic_set_apply(
4071 struct isl_basic_set
*bset
, struct isl_basic_map
*bmap
)
4076 isl_assert(bset
->ctx
, isl_basic_map_compatible_domain(bmap
, bset
),
4079 return bset_from_bmap(isl_basic_map_apply_range(bset_to_bmap(bset
),
4082 isl_basic_set_free(bset
);
4083 isl_basic_map_free(bmap
);
4087 struct isl_basic_map
*isl_basic_map_apply_domain(
4088 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
4090 if (!bmap1
|| !bmap2
)
4093 if (!isl_space_match(bmap1
->dim
, isl_dim_param
,
4094 bmap2
->dim
, isl_dim_param
))
4095 isl_die(isl_basic_map_get_ctx(bmap1
), isl_error_invalid
,
4096 "parameters don't match", goto error
);
4097 if (!isl_space_tuple_is_equal(bmap1
->dim
, isl_dim_in
,
4098 bmap2
->dim
, isl_dim_in
))
4099 isl_die(isl_basic_map_get_ctx(bmap1
), isl_error_invalid
,
4100 "spaces don't match", goto error
);
4102 bmap1
= isl_basic_map_reverse(bmap1
);
4103 bmap1
= isl_basic_map_apply_range(bmap1
, bmap2
);
4104 return isl_basic_map_reverse(bmap1
);
4106 isl_basic_map_free(bmap1
);
4107 isl_basic_map_free(bmap2
);
4111 /* Given two basic maps A -> f(A) and B -> g(B), construct a basic map
4112 * A \cap B -> f(A) + f(B)
4114 struct isl_basic_map
*isl_basic_map_sum(
4115 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
4117 unsigned n_in
, n_out
, nparam
, total
, pos
;
4118 struct isl_basic_map
*bmap
= NULL
;
4119 struct isl_dim_map
*dim_map1
, *dim_map2
;
4122 if (!bmap1
|| !bmap2
)
4125 isl_assert(bmap1
->ctx
, isl_space_is_equal(bmap1
->dim
, bmap2
->dim
),
4128 nparam
= isl_basic_map_n_param(bmap1
);
4129 n_in
= isl_basic_map_n_in(bmap1
);
4130 n_out
= isl_basic_map_n_out(bmap1
);
4132 total
= nparam
+ n_in
+ n_out
+ bmap1
->n_div
+ bmap2
->n_div
+ 2 * n_out
;
4133 dim_map1
= isl_dim_map_alloc(bmap1
->ctx
, total
);
4134 dim_map2
= isl_dim_map_alloc(bmap2
->ctx
, total
);
4135 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_param
, pos
= 0);
4136 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_param
, pos
);
4137 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_in
, pos
+= nparam
);
4138 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_in
, pos
);
4139 isl_dim_map_div(dim_map1
, bmap1
, pos
+= n_in
+ n_out
);
4140 isl_dim_map_div(dim_map2
, bmap2
, pos
+= bmap1
->n_div
);
4141 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_out
, pos
+= bmap2
->n_div
);
4142 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_out
, pos
+= n_out
);
4144 bmap
= isl_basic_map_alloc_space(isl_space_copy(bmap1
->dim
),
4145 bmap1
->n_div
+ bmap2
->n_div
+ 2 * n_out
,
4146 bmap1
->n_eq
+ bmap2
->n_eq
+ n_out
,
4147 bmap1
->n_ineq
+ bmap2
->n_ineq
);
4148 for (i
= 0; i
< n_out
; ++i
) {
4149 int j
= isl_basic_map_alloc_equality(bmap
);
4152 isl_seq_clr(bmap
->eq
[j
], 1+total
);
4153 isl_int_set_si(bmap
->eq
[j
][1+nparam
+n_in
+i
], -1);
4154 isl_int_set_si(bmap
->eq
[j
][1+pos
+i
], 1);
4155 isl_int_set_si(bmap
->eq
[j
][1+pos
-n_out
+i
], 1);
4157 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap1
, dim_map1
);
4158 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap2
, dim_map2
);
4159 bmap
= add_divs(bmap
, 2 * n_out
);
4161 bmap
= isl_basic_map_simplify(bmap
);
4162 return isl_basic_map_finalize(bmap
);
4164 isl_basic_map_free(bmap
);
4165 isl_basic_map_free(bmap1
);
4166 isl_basic_map_free(bmap2
);
4170 /* Given two maps A -> f(A) and B -> g(B), construct a map
4171 * A \cap B -> f(A) + f(B)
4173 struct isl_map
*isl_map_sum(struct isl_map
*map1
, struct isl_map
*map2
)
4175 struct isl_map
*result
;
4181 isl_assert(map1
->ctx
, isl_space_is_equal(map1
->dim
, map2
->dim
), goto error
);
4183 result
= isl_map_alloc_space(isl_space_copy(map1
->dim
),
4184 map1
->n
* map2
->n
, 0);
4187 for (i
= 0; i
< map1
->n
; ++i
)
4188 for (j
= 0; j
< map2
->n
; ++j
) {
4189 struct isl_basic_map
*part
;
4190 part
= isl_basic_map_sum(
4191 isl_basic_map_copy(map1
->p
[i
]),
4192 isl_basic_map_copy(map2
->p
[j
]));
4193 if (isl_basic_map_is_empty(part
))
4194 isl_basic_map_free(part
);
4196 result
= isl_map_add_basic_map(result
, part
);
4209 __isl_give isl_set
*isl_set_sum(__isl_take isl_set
*set1
,
4210 __isl_take isl_set
*set2
)
4212 return set_from_map(isl_map_sum(set_to_map(set1
), set_to_map(set2
)));
4215 /* Given a basic map A -> f(A), construct A -> -f(A).
4217 struct isl_basic_map
*isl_basic_map_neg(struct isl_basic_map
*bmap
)
4222 bmap
= isl_basic_map_cow(bmap
);
4226 n
= isl_basic_map_dim(bmap
, isl_dim_out
);
4227 off
= isl_basic_map_offset(bmap
, isl_dim_out
);
4228 for (i
= 0; i
< bmap
->n_eq
; ++i
)
4229 for (j
= 0; j
< n
; ++j
)
4230 isl_int_neg(bmap
->eq
[i
][off
+j
], bmap
->eq
[i
][off
+j
]);
4231 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
4232 for (j
= 0; j
< n
; ++j
)
4233 isl_int_neg(bmap
->ineq
[i
][off
+j
], bmap
->ineq
[i
][off
+j
]);
4234 for (i
= 0; i
< bmap
->n_div
; ++i
)
4235 for (j
= 0; j
< n
; ++j
)
4236 isl_int_neg(bmap
->div
[i
][1+off
+j
], bmap
->div
[i
][1+off
+j
]);
4237 bmap
= isl_basic_map_gauss(bmap
, NULL
);
4238 return isl_basic_map_finalize(bmap
);
4241 __isl_give isl_basic_set
*isl_basic_set_neg(__isl_take isl_basic_set
*bset
)
4243 return isl_basic_map_neg(bset
);
4246 /* Given a map A -> f(A), construct A -> -f(A).
4248 struct isl_map
*isl_map_neg(struct isl_map
*map
)
4252 map
= isl_map_cow(map
);
4256 for (i
= 0; i
< map
->n
; ++i
) {
4257 map
->p
[i
] = isl_basic_map_neg(map
->p
[i
]);
4268 __isl_give isl_set
*isl_set_neg(__isl_take isl_set
*set
)
4270 return set_from_map(isl_map_neg(set_to_map(set
)));
4273 /* Given a basic map A -> f(A) and an integer d, construct a basic map
4274 * A -> floor(f(A)/d).
4276 struct isl_basic_map
*isl_basic_map_floordiv(struct isl_basic_map
*bmap
,
4279 unsigned n_in
, n_out
, nparam
, total
, pos
;
4280 struct isl_basic_map
*result
= NULL
;
4281 struct isl_dim_map
*dim_map
;
4287 nparam
= isl_basic_map_n_param(bmap
);
4288 n_in
= isl_basic_map_n_in(bmap
);
4289 n_out
= isl_basic_map_n_out(bmap
);
4291 total
= nparam
+ n_in
+ n_out
+ bmap
->n_div
+ n_out
;
4292 dim_map
= isl_dim_map_alloc(bmap
->ctx
, total
);
4293 isl_dim_map_dim(dim_map
, bmap
->dim
, isl_dim_param
, pos
= 0);
4294 isl_dim_map_dim(dim_map
, bmap
->dim
, isl_dim_in
, pos
+= nparam
);
4295 isl_dim_map_div(dim_map
, bmap
, pos
+= n_in
+ n_out
);
4296 isl_dim_map_dim(dim_map
, bmap
->dim
, isl_dim_out
, pos
+= bmap
->n_div
);
4298 result
= isl_basic_map_alloc_space(isl_space_copy(bmap
->dim
),
4299 bmap
->n_div
+ n_out
,
4300 bmap
->n_eq
, bmap
->n_ineq
+ 2 * n_out
);
4301 result
= isl_basic_map_add_constraints_dim_map(result
, bmap
, dim_map
);
4302 result
= add_divs(result
, n_out
);
4303 for (i
= 0; i
< n_out
; ++i
) {
4305 j
= isl_basic_map_alloc_inequality(result
);
4308 isl_seq_clr(result
->ineq
[j
], 1+total
);
4309 isl_int_neg(result
->ineq
[j
][1+nparam
+n_in
+i
], d
);
4310 isl_int_set_si(result
->ineq
[j
][1+pos
+i
], 1);
4311 j
= isl_basic_map_alloc_inequality(result
);
4314 isl_seq_clr(result
->ineq
[j
], 1+total
);
4315 isl_int_set(result
->ineq
[j
][1+nparam
+n_in
+i
], d
);
4316 isl_int_set_si(result
->ineq
[j
][1+pos
+i
], -1);
4317 isl_int_sub_ui(result
->ineq
[j
][0], d
, 1);
4320 result
= isl_basic_map_simplify(result
);
4321 return isl_basic_map_finalize(result
);
4323 isl_basic_map_free(result
);
4327 /* Given a map A -> f(A) and an integer d, construct a map
4328 * A -> floor(f(A)/d).
4330 struct isl_map
*isl_map_floordiv(struct isl_map
*map
, isl_int d
)
4334 map
= isl_map_cow(map
);
4338 ISL_F_CLR(map
, ISL_MAP_DISJOINT
);
4339 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
4340 for (i
= 0; i
< map
->n
; ++i
) {
4341 map
->p
[i
] = isl_basic_map_floordiv(map
->p
[i
], d
);
4352 /* Given a map A -> f(A) and an integer d, construct a map
4353 * A -> floor(f(A)/d).
4355 __isl_give isl_map
*isl_map_floordiv_val(__isl_take isl_map
*map
,
4356 __isl_take isl_val
*d
)
4360 if (!isl_val_is_int(d
))
4361 isl_die(isl_val_get_ctx(d
), isl_error_invalid
,
4362 "expecting integer denominator", goto error
);
4363 map
= isl_map_floordiv(map
, d
->n
);
4372 static struct isl_basic_map
*var_equal(struct isl_basic_map
*bmap
, unsigned pos
)
4378 i
= isl_basic_map_alloc_equality(bmap
);
4381 nparam
= isl_basic_map_n_param(bmap
);
4382 n_in
= isl_basic_map_n_in(bmap
);
4383 isl_seq_clr(bmap
->eq
[i
], 1 + isl_basic_map_total_dim(bmap
));
4384 isl_int_set_si(bmap
->eq
[i
][1+nparam
+pos
], -1);
4385 isl_int_set_si(bmap
->eq
[i
][1+nparam
+n_in
+pos
], 1);
4386 return isl_basic_map_finalize(bmap
);
4388 isl_basic_map_free(bmap
);
4392 /* Add a constraint to "bmap" expressing i_pos < o_pos
4394 static struct isl_basic_map
*var_less(struct isl_basic_map
*bmap
, unsigned pos
)
4400 i
= isl_basic_map_alloc_inequality(bmap
);
4403 nparam
= isl_basic_map_n_param(bmap
);
4404 n_in
= isl_basic_map_n_in(bmap
);
4405 isl_seq_clr(bmap
->ineq
[i
], 1 + isl_basic_map_total_dim(bmap
));
4406 isl_int_set_si(bmap
->ineq
[i
][0], -1);
4407 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+pos
], -1);
4408 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+n_in
+pos
], 1);
4409 return isl_basic_map_finalize(bmap
);
4411 isl_basic_map_free(bmap
);
4415 /* Add a constraint to "bmap" expressing i_pos <= o_pos
4417 static __isl_give isl_basic_map
*var_less_or_equal(
4418 __isl_take isl_basic_map
*bmap
, unsigned pos
)
4424 i
= isl_basic_map_alloc_inequality(bmap
);
4427 nparam
= isl_basic_map_n_param(bmap
);
4428 n_in
= isl_basic_map_n_in(bmap
);
4429 isl_seq_clr(bmap
->ineq
[i
], 1 + isl_basic_map_total_dim(bmap
));
4430 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+pos
], -1);
4431 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+n_in
+pos
], 1);
4432 return isl_basic_map_finalize(bmap
);
4434 isl_basic_map_free(bmap
);
4438 /* Add a constraint to "bmap" expressing i_pos > o_pos
4440 static struct isl_basic_map
*var_more(struct isl_basic_map
*bmap
, unsigned pos
)
4446 i
= isl_basic_map_alloc_inequality(bmap
);
4449 nparam
= isl_basic_map_n_param(bmap
);
4450 n_in
= isl_basic_map_n_in(bmap
);
4451 isl_seq_clr(bmap
->ineq
[i
], 1 + isl_basic_map_total_dim(bmap
));
4452 isl_int_set_si(bmap
->ineq
[i
][0], -1);
4453 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+pos
], 1);
4454 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+n_in
+pos
], -1);
4455 return isl_basic_map_finalize(bmap
);
4457 isl_basic_map_free(bmap
);
4461 /* Add a constraint to "bmap" expressing i_pos >= o_pos
4463 static __isl_give isl_basic_map
*var_more_or_equal(
4464 __isl_take isl_basic_map
*bmap
, unsigned pos
)
4470 i
= isl_basic_map_alloc_inequality(bmap
);
4473 nparam
= isl_basic_map_n_param(bmap
);
4474 n_in
= isl_basic_map_n_in(bmap
);
4475 isl_seq_clr(bmap
->ineq
[i
], 1 + isl_basic_map_total_dim(bmap
));
4476 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+pos
], 1);
4477 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+n_in
+pos
], -1);
4478 return isl_basic_map_finalize(bmap
);
4480 isl_basic_map_free(bmap
);
4484 __isl_give isl_basic_map
*isl_basic_map_equal(
4485 __isl_take isl_space
*dim
, unsigned n_equal
)
4488 struct isl_basic_map
*bmap
;
4489 bmap
= isl_basic_map_alloc_space(dim
, 0, n_equal
, 0);
4492 for (i
= 0; i
< n_equal
&& bmap
; ++i
)
4493 bmap
= var_equal(bmap
, i
);
4494 return isl_basic_map_finalize(bmap
);
4497 /* Return a relation on of dimension "dim" expressing i_[0..pos] << o_[0..pos]
4499 __isl_give isl_basic_map
*isl_basic_map_less_at(__isl_take isl_space
*dim
,
4503 struct isl_basic_map
*bmap
;
4504 bmap
= isl_basic_map_alloc_space(dim
, 0, pos
, 1);
4507 for (i
= 0; i
< pos
&& bmap
; ++i
)
4508 bmap
= var_equal(bmap
, i
);
4510 bmap
= var_less(bmap
, pos
);
4511 return isl_basic_map_finalize(bmap
);
4514 /* Return a relation on "dim" expressing i_[0..pos] <<= o_[0..pos]
4516 __isl_give isl_basic_map
*isl_basic_map_less_or_equal_at(
4517 __isl_take isl_space
*dim
, unsigned pos
)
4520 isl_basic_map
*bmap
;
4522 bmap
= isl_basic_map_alloc_space(dim
, 0, pos
, 1);
4523 for (i
= 0; i
< pos
; ++i
)
4524 bmap
= var_equal(bmap
, i
);
4525 bmap
= var_less_or_equal(bmap
, pos
);
4526 return isl_basic_map_finalize(bmap
);
4529 /* Return a relation on "dim" expressing i_pos > o_pos
4531 __isl_give isl_basic_map
*isl_basic_map_more_at(__isl_take isl_space
*dim
,
4535 struct isl_basic_map
*bmap
;
4536 bmap
= isl_basic_map_alloc_space(dim
, 0, pos
, 1);
4539 for (i
= 0; i
< pos
&& bmap
; ++i
)
4540 bmap
= var_equal(bmap
, i
);
4542 bmap
= var_more(bmap
, pos
);
4543 return isl_basic_map_finalize(bmap
);
4546 /* Return a relation on "dim" expressing i_[0..pos] >>= o_[0..pos]
4548 __isl_give isl_basic_map
*isl_basic_map_more_or_equal_at(
4549 __isl_take isl_space
*dim
, unsigned pos
)
4552 isl_basic_map
*bmap
;
4554 bmap
= isl_basic_map_alloc_space(dim
, 0, pos
, 1);
4555 for (i
= 0; i
< pos
; ++i
)
4556 bmap
= var_equal(bmap
, i
);
4557 bmap
= var_more_or_equal(bmap
, pos
);
4558 return isl_basic_map_finalize(bmap
);
4561 static __isl_give isl_map
*map_lex_lte_first(__isl_take isl_space
*dims
,
4562 unsigned n
, int equal
)
4564 struct isl_map
*map
;
4567 if (n
== 0 && equal
)
4568 return isl_map_universe(dims
);
4570 map
= isl_map_alloc_space(isl_space_copy(dims
), n
, ISL_MAP_DISJOINT
);
4572 for (i
= 0; i
+ 1 < n
; ++i
)
4573 map
= isl_map_add_basic_map(map
,
4574 isl_basic_map_less_at(isl_space_copy(dims
), i
));
4577 map
= isl_map_add_basic_map(map
,
4578 isl_basic_map_less_or_equal_at(dims
, n
- 1));
4580 map
= isl_map_add_basic_map(map
,
4581 isl_basic_map_less_at(dims
, n
- 1));
4583 isl_space_free(dims
);
4588 static __isl_give isl_map
*map_lex_lte(__isl_take isl_space
*dims
, int equal
)
4592 return map_lex_lte_first(dims
, dims
->n_out
, equal
);
4595 __isl_give isl_map
*isl_map_lex_lt_first(__isl_take isl_space
*dim
, unsigned n
)
4597 return map_lex_lte_first(dim
, n
, 0);
4600 __isl_give isl_map
*isl_map_lex_le_first(__isl_take isl_space
*dim
, unsigned n
)
4602 return map_lex_lte_first(dim
, n
, 1);
4605 __isl_give isl_map
*isl_map_lex_lt(__isl_take isl_space
*set_dim
)
4607 return map_lex_lte(isl_space_map_from_set(set_dim
), 0);
4610 __isl_give isl_map
*isl_map_lex_le(__isl_take isl_space
*set_dim
)
4612 return map_lex_lte(isl_space_map_from_set(set_dim
), 1);
4615 static __isl_give isl_map
*map_lex_gte_first(__isl_take isl_space
*dims
,
4616 unsigned n
, int equal
)
4618 struct isl_map
*map
;
4621 if (n
== 0 && equal
)
4622 return isl_map_universe(dims
);
4624 map
= isl_map_alloc_space(isl_space_copy(dims
), n
, ISL_MAP_DISJOINT
);
4626 for (i
= 0; i
+ 1 < n
; ++i
)
4627 map
= isl_map_add_basic_map(map
,
4628 isl_basic_map_more_at(isl_space_copy(dims
), i
));
4631 map
= isl_map_add_basic_map(map
,
4632 isl_basic_map_more_or_equal_at(dims
, n
- 1));
4634 map
= isl_map_add_basic_map(map
,
4635 isl_basic_map_more_at(dims
, n
- 1));
4637 isl_space_free(dims
);
4642 static __isl_give isl_map
*map_lex_gte(__isl_take isl_space
*dims
, int equal
)
4646 return map_lex_gte_first(dims
, dims
->n_out
, equal
);
4649 __isl_give isl_map
*isl_map_lex_gt_first(__isl_take isl_space
*dim
, unsigned n
)
4651 return map_lex_gte_first(dim
, n
, 0);
4654 __isl_give isl_map
*isl_map_lex_ge_first(__isl_take isl_space
*dim
, unsigned n
)
4656 return map_lex_gte_first(dim
, n
, 1);
4659 __isl_give isl_map
*isl_map_lex_gt(__isl_take isl_space
*set_dim
)
4661 return map_lex_gte(isl_space_map_from_set(set_dim
), 0);
4664 __isl_give isl_map
*isl_map_lex_ge(__isl_take isl_space
*set_dim
)
4666 return map_lex_gte(isl_space_map_from_set(set_dim
), 1);
4669 __isl_give isl_map
*isl_set_lex_le_set(__isl_take isl_set
*set1
,
4670 __isl_take isl_set
*set2
)
4673 map
= isl_map_lex_le(isl_set_get_space(set1
));
4674 map
= isl_map_intersect_domain(map
, set1
);
4675 map
= isl_map_intersect_range(map
, set2
);
4679 __isl_give isl_map
*isl_set_lex_lt_set(__isl_take isl_set
*set1
,
4680 __isl_take isl_set
*set2
)
4683 map
= isl_map_lex_lt(isl_set_get_space(set1
));
4684 map
= isl_map_intersect_domain(map
, set1
);
4685 map
= isl_map_intersect_range(map
, set2
);
4689 __isl_give isl_map
*isl_set_lex_ge_set(__isl_take isl_set
*set1
,
4690 __isl_take isl_set
*set2
)
4693 map
= isl_map_lex_ge(isl_set_get_space(set1
));
4694 map
= isl_map_intersect_domain(map
, set1
);
4695 map
= isl_map_intersect_range(map
, set2
);
4699 __isl_give isl_map
*isl_set_lex_gt_set(__isl_take isl_set
*set1
,
4700 __isl_take isl_set
*set2
)
4703 map
= isl_map_lex_gt(isl_set_get_space(set1
));
4704 map
= isl_map_intersect_domain(map
, set1
);
4705 map
= isl_map_intersect_range(map
, set2
);
4709 __isl_give isl_map
*isl_map_lex_le_map(__isl_take isl_map
*map1
,
4710 __isl_take isl_map
*map2
)
4713 map
= isl_map_lex_le(isl_space_range(isl_map_get_space(map1
)));
4714 map
= isl_map_apply_domain(map
, isl_map_reverse(map1
));
4715 map
= isl_map_apply_range(map
, isl_map_reverse(map2
));
4719 __isl_give isl_map
*isl_map_lex_lt_map(__isl_take isl_map
*map1
,
4720 __isl_take isl_map
*map2
)
4723 map
= isl_map_lex_lt(isl_space_range(isl_map_get_space(map1
)));
4724 map
= isl_map_apply_domain(map
, isl_map_reverse(map1
));
4725 map
= isl_map_apply_range(map
, isl_map_reverse(map2
));
4729 __isl_give isl_map
*isl_map_lex_ge_map(__isl_take isl_map
*map1
,
4730 __isl_take isl_map
*map2
)
4733 map
= isl_map_lex_ge(isl_space_range(isl_map_get_space(map1
)));
4734 map
= isl_map_apply_domain(map
, isl_map_reverse(map1
));
4735 map
= isl_map_apply_range(map
, isl_map_reverse(map2
));
4739 __isl_give isl_map
*isl_map_lex_gt_map(__isl_take isl_map
*map1
,
4740 __isl_take isl_map
*map2
)
4743 map
= isl_map_lex_gt(isl_space_range(isl_map_get_space(map1
)));
4744 map
= isl_map_apply_domain(map
, isl_map_reverse(map1
));
4745 map
= isl_map_apply_range(map
, isl_map_reverse(map2
));
4749 /* For a div d = floor(f/m), add the constraint
4753 static isl_stat
add_upper_div_constraint(__isl_keep isl_basic_map
*bmap
,
4754 unsigned pos
, isl_int
*div
)
4757 unsigned total
= isl_basic_map_total_dim(bmap
);
4759 i
= isl_basic_map_alloc_inequality(bmap
);
4761 return isl_stat_error
;
4762 isl_seq_cpy(bmap
->ineq
[i
], div
+ 1, 1 + total
);
4763 isl_int_neg(bmap
->ineq
[i
][1 + pos
], div
[0]);
4768 /* For a div d = floor(f/m), add the constraint
4770 * -(f-(m-1)) + m d >= 0
4772 static isl_stat
add_lower_div_constraint(__isl_keep isl_basic_map
*bmap
,
4773 unsigned pos
, isl_int
*div
)
4776 unsigned total
= isl_basic_map_total_dim(bmap
);
4778 i
= isl_basic_map_alloc_inequality(bmap
);
4780 return isl_stat_error
;
4781 isl_seq_neg(bmap
->ineq
[i
], div
+ 1, 1 + total
);
4782 isl_int_set(bmap
->ineq
[i
][1 + pos
], div
[0]);
4783 isl_int_add(bmap
->ineq
[i
][0], bmap
->ineq
[i
][0], bmap
->ineq
[i
][1 + pos
]);
4784 isl_int_sub_ui(bmap
->ineq
[i
][0], bmap
->ineq
[i
][0], 1);
4789 /* For a div d = floor(f/m), add the constraints
4792 * -(f-(m-1)) + m d >= 0
4794 * Note that the second constraint is the negation of
4798 int isl_basic_map_add_div_constraints_var(__isl_keep isl_basic_map
*bmap
,
4799 unsigned pos
, isl_int
*div
)
4801 if (add_upper_div_constraint(bmap
, pos
, div
) < 0)
4803 if (add_lower_div_constraint(bmap
, pos
, div
) < 0)
4808 int isl_basic_set_add_div_constraints_var(__isl_keep isl_basic_set
*bset
,
4809 unsigned pos
, isl_int
*div
)
4811 return isl_basic_map_add_div_constraints_var(bset_to_bmap(bset
),
4815 int isl_basic_map_add_div_constraints(struct isl_basic_map
*bmap
, unsigned div
)
4817 unsigned total
= isl_basic_map_total_dim(bmap
);
4818 unsigned div_pos
= total
- bmap
->n_div
+ div
;
4820 return isl_basic_map_add_div_constraints_var(bmap
, div_pos
,
4824 /* For each known div d = floor(f/m), add the constraints
4827 * -(f-(m-1)) + m d >= 0
4829 * Remove duplicate constraints in case of some these div constraints
4830 * already appear in "bmap".
4832 __isl_give isl_basic_map
*isl_basic_map_add_known_div_constraints(
4833 __isl_take isl_basic_map
*bmap
)
4839 n_div
= isl_basic_map_dim(bmap
, isl_dim_div
);
4843 bmap
= add_known_div_constraints(bmap
);
4844 bmap
= isl_basic_map_remove_duplicate_constraints(bmap
, NULL
, 0);
4845 bmap
= isl_basic_map_finalize(bmap
);
4849 /* Add the div constraint of sign "sign" for div "div" of "bmap".
4851 * In particular, if this div is of the form d = floor(f/m),
4852 * then add the constraint
4856 * if sign < 0 or the constraint
4858 * -(f-(m-1)) + m d >= 0
4862 int isl_basic_map_add_div_constraint(__isl_keep isl_basic_map
*bmap
,
4863 unsigned div
, int sign
)
4871 total
= isl_basic_map_total_dim(bmap
);
4872 div_pos
= total
- bmap
->n_div
+ div
;
4875 return add_upper_div_constraint(bmap
, div_pos
, bmap
->div
[div
]);
4877 return add_lower_div_constraint(bmap
, div_pos
, bmap
->div
[div
]);
4880 struct isl_basic_set
*isl_basic_map_underlying_set(
4881 struct isl_basic_map
*bmap
)
4885 if (bmap
->dim
->nparam
== 0 && bmap
->dim
->n_in
== 0 &&
4887 !isl_space_is_named_or_nested(bmap
->dim
, isl_dim_in
) &&
4888 !isl_space_is_named_or_nested(bmap
->dim
, isl_dim_out
))
4889 return bset_from_bmap(bmap
);
4890 bmap
= isl_basic_map_cow(bmap
);
4893 bmap
->dim
= isl_space_underlying(bmap
->dim
, bmap
->n_div
);
4896 bmap
->extra
-= bmap
->n_div
;
4898 bmap
= isl_basic_map_finalize(bmap
);
4899 return bset_from_bmap(bmap
);
4901 isl_basic_map_free(bmap
);
4905 __isl_give isl_basic_set
*isl_basic_set_underlying_set(
4906 __isl_take isl_basic_set
*bset
)
4908 return isl_basic_map_underlying_set(bset_to_bmap(bset
));
4911 /* Replace each element in "list" by the result of applying
4912 * isl_basic_map_underlying_set to the element.
4914 __isl_give isl_basic_set_list
*isl_basic_map_list_underlying_set(
4915 __isl_take isl_basic_map_list
*list
)
4922 n
= isl_basic_map_list_n_basic_map(list
);
4923 for (i
= 0; i
< n
; ++i
) {
4924 isl_basic_map
*bmap
;
4925 isl_basic_set
*bset
;
4927 bmap
= isl_basic_map_list_get_basic_map(list
, i
);
4928 bset
= isl_basic_set_underlying_set(bmap
);
4929 list
= isl_basic_set_list_set_basic_set(list
, i
, bset
);
4935 struct isl_basic_map
*isl_basic_map_overlying_set(
4936 struct isl_basic_set
*bset
, struct isl_basic_map
*like
)
4938 struct isl_basic_map
*bmap
;
4939 struct isl_ctx
*ctx
;
4946 isl_assert(ctx
, bset
->n_div
== 0, goto error
);
4947 isl_assert(ctx
, isl_basic_set_n_param(bset
) == 0, goto error
);
4948 isl_assert(ctx
, bset
->dim
->n_out
== isl_basic_map_total_dim(like
),
4950 if (like
->n_div
== 0) {
4951 isl_space
*space
= isl_basic_map_get_space(like
);
4952 isl_basic_map_free(like
);
4953 return isl_basic_map_reset_space(bset
, space
);
4955 bset
= isl_basic_set_cow(bset
);
4958 total
= bset
->dim
->n_out
+ bset
->extra
;
4959 bmap
= bset_to_bmap(bset
);
4960 isl_space_free(bmap
->dim
);
4961 bmap
->dim
= isl_space_copy(like
->dim
);
4964 bmap
->n_div
= like
->n_div
;
4965 bmap
->extra
+= like
->n_div
;
4969 ltotal
= total
- bmap
->extra
+ like
->extra
;
4972 bmap
->block2
= isl_blk_extend(ctx
, bmap
->block2
,
4973 bmap
->extra
* (1 + 1 + total
));
4974 if (isl_blk_is_error(bmap
->block2
))
4976 div
= isl_realloc_array(ctx
, bmap
->div
, isl_int
*, bmap
->extra
);
4980 for (i
= 0; i
< bmap
->extra
; ++i
)
4981 bmap
->div
[i
] = bmap
->block2
.data
+ i
* (1 + 1 + total
);
4982 for (i
= 0; i
< like
->n_div
; ++i
) {
4983 isl_seq_cpy(bmap
->div
[i
], like
->div
[i
], 1 + 1 + ltotal
);
4984 isl_seq_clr(bmap
->div
[i
]+1+1+ltotal
, total
- ltotal
);
4986 bmap
= isl_basic_map_add_known_div_constraints(bmap
);
4988 isl_basic_map_free(like
);
4989 bmap
= isl_basic_map_simplify(bmap
);
4990 bmap
= isl_basic_map_finalize(bmap
);
4993 isl_basic_map_free(like
);
4994 isl_basic_set_free(bset
);
4998 struct isl_basic_set
*isl_basic_set_from_underlying_set(
4999 struct isl_basic_set
*bset
, struct isl_basic_set
*like
)
5001 return bset_from_bmap(isl_basic_map_overlying_set(bset
,
5002 bset_to_bmap(like
)));
5005 struct isl_set
*isl_map_underlying_set(struct isl_map
*map
)
5009 map
= isl_map_cow(map
);
5012 map
->dim
= isl_space_cow(map
->dim
);
5016 for (i
= 1; i
< map
->n
; ++i
)
5017 isl_assert(map
->ctx
, map
->p
[0]->n_div
== map
->p
[i
]->n_div
,
5019 for (i
= 0; i
< map
->n
; ++i
) {
5020 map
->p
[i
] = bset_to_bmap(
5021 isl_basic_map_underlying_set(map
->p
[i
]));
5026 map
->dim
= isl_space_underlying(map
->dim
, 0);
5028 isl_space_free(map
->dim
);
5029 map
->dim
= isl_space_copy(map
->p
[0]->dim
);
5033 return set_from_map(map
);
5039 /* Replace the space of "bmap" by "space".
5041 * If the space of "bmap" is identical to "space" (including the identifiers
5042 * of the input and output dimensions), then simply return the original input.
5044 __isl_give isl_basic_map
*isl_basic_map_reset_space(
5045 __isl_take isl_basic_map
*bmap
, __isl_take isl_space
*space
)
5051 equal
= isl_space_is_equal(bmap
->dim
, space
);
5052 if (equal
>= 0 && equal
)
5053 equal
= isl_space_match(bmap
->dim
, isl_dim_in
,
5055 if (equal
>= 0 && equal
)
5056 equal
= isl_space_match(bmap
->dim
, isl_dim_out
,
5057 space
, isl_dim_out
);
5061 isl_space_free(space
);
5064 bmap
= isl_basic_map_cow(bmap
);
5065 if (!bmap
|| !space
)
5068 isl_space_free(bmap
->dim
);
5071 bmap
= isl_basic_map_finalize(bmap
);
5075 isl_basic_map_free(bmap
);
5076 isl_space_free(space
);
5080 __isl_give isl_basic_set
*isl_basic_set_reset_space(
5081 __isl_take isl_basic_set
*bset
, __isl_take isl_space
*dim
)
5083 return bset_from_bmap(isl_basic_map_reset_space(bset_to_bmap(bset
),
5087 __isl_give isl_map
*isl_map_reset_space(__isl_take isl_map
*map
,
5088 __isl_take isl_space
*dim
)
5092 map
= isl_map_cow(map
);
5096 for (i
= 0; i
< map
->n
; ++i
) {
5097 map
->p
[i
] = isl_basic_map_reset_space(map
->p
[i
],
5098 isl_space_copy(dim
));
5102 isl_space_free(map
->dim
);
5108 isl_space_free(dim
);
5112 __isl_give isl_set
*isl_set_reset_space(__isl_take isl_set
*set
,
5113 __isl_take isl_space
*dim
)
5115 return set_from_map(isl_map_reset_space(set_to_map(set
), dim
));
5118 /* Compute the parameter domain of the given basic set.
5120 __isl_give isl_basic_set
*isl_basic_set_params(__isl_take isl_basic_set
*bset
)
5126 is_params
= isl_basic_set_is_params(bset
);
5128 return isl_basic_set_free(bset
);
5132 n
= isl_basic_set_dim(bset
, isl_dim_set
);
5133 bset
= isl_basic_set_project_out(bset
, isl_dim_set
, 0, n
);
5134 space
= isl_basic_set_get_space(bset
);
5135 space
= isl_space_params(space
);
5136 bset
= isl_basic_set_reset_space(bset
, space
);
5140 /* Construct a zero-dimensional basic set with the given parameter domain.
5142 __isl_give isl_basic_set
*isl_basic_set_from_params(
5143 __isl_take isl_basic_set
*bset
)
5146 space
= isl_basic_set_get_space(bset
);
5147 space
= isl_space_set_from_params(space
);
5148 bset
= isl_basic_set_reset_space(bset
, space
);
5152 /* Compute the parameter domain of the given set.
5154 __isl_give isl_set
*isl_set_params(__isl_take isl_set
*set
)
5159 if (isl_set_is_params(set
))
5162 n
= isl_set_dim(set
, isl_dim_set
);
5163 set
= isl_set_project_out(set
, isl_dim_set
, 0, n
);
5164 space
= isl_set_get_space(set
);
5165 space
= isl_space_params(space
);
5166 set
= isl_set_reset_space(set
, space
);
5170 /* Construct a zero-dimensional set with the given parameter domain.
5172 __isl_give isl_set
*isl_set_from_params(__isl_take isl_set
*set
)
5175 space
= isl_set_get_space(set
);
5176 space
= isl_space_set_from_params(space
);
5177 set
= isl_set_reset_space(set
, space
);
5181 /* Compute the parameter domain of the given map.
5183 __isl_give isl_set
*isl_map_params(__isl_take isl_map
*map
)
5188 n
= isl_map_dim(map
, isl_dim_in
);
5189 map
= isl_map_project_out(map
, isl_dim_in
, 0, n
);
5190 n
= isl_map_dim(map
, isl_dim_out
);
5191 map
= isl_map_project_out(map
, isl_dim_out
, 0, n
);
5192 space
= isl_map_get_space(map
);
5193 space
= isl_space_params(space
);
5194 map
= isl_map_reset_space(map
, space
);
5198 struct isl_basic_set
*isl_basic_map_domain(struct isl_basic_map
*bmap
)
5205 space
= isl_space_domain(isl_basic_map_get_space(bmap
));
5207 n_out
= isl_basic_map_n_out(bmap
);
5208 bmap
= isl_basic_map_project_out(bmap
, isl_dim_out
, 0, n_out
);
5210 return isl_basic_map_reset_space(bmap
, space
);
5213 isl_bool
isl_basic_map_may_be_set(__isl_keep isl_basic_map
*bmap
)
5216 return isl_bool_error
;
5217 return isl_space_may_be_set(bmap
->dim
);
5220 /* Is this basic map actually a set?
5221 * Users should never call this function. Outside of isl,
5222 * the type should indicate whether something is a set or a map.
5224 isl_bool
isl_basic_map_is_set(__isl_keep isl_basic_map
*bmap
)
5227 return isl_bool_error
;
5228 return isl_space_is_set(bmap
->dim
);
5231 struct isl_basic_set
*isl_basic_map_range(struct isl_basic_map
*bmap
)
5235 is_set
= isl_basic_map_is_set(bmap
);
5240 return isl_basic_map_domain(isl_basic_map_reverse(bmap
));
5242 isl_basic_map_free(bmap
);
5246 __isl_give isl_basic_map
*isl_basic_map_domain_map(
5247 __isl_take isl_basic_map
*bmap
)
5251 isl_basic_map
*domain
;
5252 int nparam
, n_in
, n_out
;
5254 nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
5255 n_in
= isl_basic_map_dim(bmap
, isl_dim_in
);
5256 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
5258 dim
= isl_space_from_range(isl_space_domain(isl_basic_map_get_space(bmap
)));
5259 domain
= isl_basic_map_universe(dim
);
5261 bmap
= isl_basic_map_from_domain(isl_basic_map_wrap(bmap
));
5262 bmap
= isl_basic_map_apply_range(bmap
, domain
);
5263 bmap
= isl_basic_map_extend_constraints(bmap
, n_in
, 0);
5265 for (i
= 0; i
< n_in
; ++i
)
5266 bmap
= isl_basic_map_equate(bmap
, isl_dim_in
, i
,
5269 bmap
= isl_basic_map_gauss(bmap
, NULL
);
5270 return isl_basic_map_finalize(bmap
);
5273 __isl_give isl_basic_map
*isl_basic_map_range_map(
5274 __isl_take isl_basic_map
*bmap
)
5278 isl_basic_map
*range
;
5279 int nparam
, n_in
, n_out
;
5281 nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
5282 n_in
= isl_basic_map_dim(bmap
, isl_dim_in
);
5283 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
5285 dim
= isl_space_from_range(isl_space_range(isl_basic_map_get_space(bmap
)));
5286 range
= isl_basic_map_universe(dim
);
5288 bmap
= isl_basic_map_from_domain(isl_basic_map_wrap(bmap
));
5289 bmap
= isl_basic_map_apply_range(bmap
, range
);
5290 bmap
= isl_basic_map_extend_constraints(bmap
, n_out
, 0);
5292 for (i
= 0; i
< n_out
; ++i
)
5293 bmap
= isl_basic_map_equate(bmap
, isl_dim_in
, n_in
+ i
,
5296 bmap
= isl_basic_map_gauss(bmap
, NULL
);
5297 return isl_basic_map_finalize(bmap
);
5300 int isl_map_may_be_set(__isl_keep isl_map
*map
)
5304 return isl_space_may_be_set(map
->dim
);
5307 /* Is this map actually a set?
5308 * Users should never call this function. Outside of isl,
5309 * the type should indicate whether something is a set or a map.
5311 isl_bool
isl_map_is_set(__isl_keep isl_map
*map
)
5314 return isl_bool_error
;
5315 return isl_space_is_set(map
->dim
);
5318 struct isl_set
*isl_map_range(struct isl_map
*map
)
5322 struct isl_set
*set
;
5324 is_set
= isl_map_is_set(map
);
5328 return set_from_map(map
);
5330 map
= isl_map_cow(map
);
5334 set
= set_from_map(map
);
5335 set
->dim
= isl_space_range(set
->dim
);
5338 for (i
= 0; i
< map
->n
; ++i
) {
5339 set
->p
[i
] = isl_basic_map_range(map
->p
[i
]);
5343 ISL_F_CLR(set
, ISL_MAP_DISJOINT
);
5344 ISL_F_CLR(set
, ISL_SET_NORMALIZED
);
5351 __isl_give isl_map
*isl_map_domain_map(__isl_take isl_map
*map
)
5355 map
= isl_map_cow(map
);
5359 map
->dim
= isl_space_domain_map(map
->dim
);
5362 for (i
= 0; i
< map
->n
; ++i
) {
5363 map
->p
[i
] = isl_basic_map_domain_map(map
->p
[i
]);
5367 ISL_F_CLR(map
, ISL_MAP_DISJOINT
);
5368 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5375 __isl_give isl_map
*isl_map_range_map(__isl_take isl_map
*map
)
5378 isl_space
*range_dim
;
5380 map
= isl_map_cow(map
);
5384 range_dim
= isl_space_range(isl_map_get_space(map
));
5385 range_dim
= isl_space_from_range(range_dim
);
5386 map
->dim
= isl_space_from_domain(isl_space_wrap(map
->dim
));
5387 map
->dim
= isl_space_join(map
->dim
, range_dim
);
5390 for (i
= 0; i
< map
->n
; ++i
) {
5391 map
->p
[i
] = isl_basic_map_range_map(map
->p
[i
]);
5395 ISL_F_CLR(map
, ISL_MAP_DISJOINT
);
5396 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5403 /* Given a wrapped map of the form A[B -> C],
5404 * return the map A[B -> C] -> B.
5406 __isl_give isl_map
*isl_set_wrapped_domain_map(__isl_take isl_set
*set
)
5413 if (!isl_set_has_tuple_id(set
))
5414 return isl_map_domain_map(isl_set_unwrap(set
));
5416 id
= isl_set_get_tuple_id(set
);
5417 map
= isl_map_domain_map(isl_set_unwrap(set
));
5418 map
= isl_map_set_tuple_id(map
, isl_dim_in
, id
);
5423 __isl_give isl_basic_map
*isl_basic_map_from_domain(
5424 __isl_take isl_basic_set
*bset
)
5426 return isl_basic_map_reverse(isl_basic_map_from_range(bset
));
5429 __isl_give isl_basic_map
*isl_basic_map_from_range(
5430 __isl_take isl_basic_set
*bset
)
5433 space
= isl_basic_set_get_space(bset
);
5434 space
= isl_space_from_range(space
);
5435 bset
= isl_basic_set_reset_space(bset
, space
);
5436 return bset_to_bmap(bset
);
5439 /* Create a relation with the given set as range.
5440 * The domain of the created relation is a zero-dimensional
5441 * flat anonymous space.
5443 __isl_give isl_map
*isl_map_from_range(__isl_take isl_set
*set
)
5446 space
= isl_set_get_space(set
);
5447 space
= isl_space_from_range(space
);
5448 set
= isl_set_reset_space(set
, space
);
5449 return set_to_map(set
);
5452 /* Create a relation with the given set as domain.
5453 * The range of the created relation is a zero-dimensional
5454 * flat anonymous space.
5456 __isl_give isl_map
*isl_map_from_domain(__isl_take isl_set
*set
)
5458 return isl_map_reverse(isl_map_from_range(set
));
5461 __isl_give isl_basic_map
*isl_basic_map_from_domain_and_range(
5462 __isl_take isl_basic_set
*domain
, __isl_take isl_basic_set
*range
)
5464 return isl_basic_map_apply_range(isl_basic_map_reverse(domain
), range
);
5467 __isl_give isl_map
*isl_map_from_domain_and_range(__isl_take isl_set
*domain
,
5468 __isl_take isl_set
*range
)
5470 return isl_map_apply_range(isl_map_reverse(domain
), range
);
5473 /* Return a newly allocated isl_map with given space and flags and
5474 * room for "n" basic maps.
5475 * Make sure that all cached information is cleared.
5477 __isl_give isl_map
*isl_map_alloc_space(__isl_take isl_space
*space
, int n
,
5480 struct isl_map
*map
;
5485 isl_die(space
->ctx
, isl_error_internal
,
5486 "negative number of basic maps", goto error
);
5487 map
= isl_calloc(space
->ctx
, struct isl_map
,
5488 sizeof(struct isl_map
) +
5489 (n
- 1) * sizeof(struct isl_basic_map
*));
5493 map
->ctx
= space
->ctx
;
5494 isl_ctx_ref(map
->ctx
);
5502 isl_space_free(space
);
5506 __isl_give isl_basic_map
*isl_basic_map_empty(__isl_take isl_space
*dim
)
5508 struct isl_basic_map
*bmap
;
5509 bmap
= isl_basic_map_alloc_space(dim
, 0, 1, 0);
5510 bmap
= isl_basic_map_set_to_empty(bmap
);
5514 __isl_give isl_basic_set
*isl_basic_set_empty(__isl_take isl_space
*dim
)
5516 struct isl_basic_set
*bset
;
5517 bset
= isl_basic_set_alloc_space(dim
, 0, 1, 0);
5518 bset
= isl_basic_set_set_to_empty(bset
);
5522 __isl_give isl_basic_map
*isl_basic_map_universe(__isl_take isl_space
*dim
)
5524 struct isl_basic_map
*bmap
;
5525 bmap
= isl_basic_map_alloc_space(dim
, 0, 0, 0);
5526 bmap
= isl_basic_map_finalize(bmap
);
5530 __isl_give isl_basic_set
*isl_basic_set_universe(__isl_take isl_space
*dim
)
5532 struct isl_basic_set
*bset
;
5533 bset
= isl_basic_set_alloc_space(dim
, 0, 0, 0);
5534 bset
= isl_basic_set_finalize(bset
);
5538 __isl_give isl_basic_map
*isl_basic_map_nat_universe(__isl_take isl_space
*dim
)
5541 unsigned total
= isl_space_dim(dim
, isl_dim_all
);
5542 isl_basic_map
*bmap
;
5544 bmap
= isl_basic_map_alloc_space(dim
, 0, 0, total
);
5545 for (i
= 0; i
< total
; ++i
) {
5546 int k
= isl_basic_map_alloc_inequality(bmap
);
5549 isl_seq_clr(bmap
->ineq
[k
], 1 + total
);
5550 isl_int_set_si(bmap
->ineq
[k
][1 + i
], 1);
5554 isl_basic_map_free(bmap
);
5558 __isl_give isl_basic_set
*isl_basic_set_nat_universe(__isl_take isl_space
*dim
)
5560 return isl_basic_map_nat_universe(dim
);
5563 __isl_give isl_map
*isl_map_nat_universe(__isl_take isl_space
*dim
)
5565 return isl_map_from_basic_map(isl_basic_map_nat_universe(dim
));
5568 __isl_give isl_set
*isl_set_nat_universe(__isl_take isl_space
*dim
)
5570 return isl_map_nat_universe(dim
);
5573 __isl_give isl_map
*isl_map_empty(__isl_take isl_space
*dim
)
5575 return isl_map_alloc_space(dim
, 0, ISL_MAP_DISJOINT
);
5578 __isl_give isl_set
*isl_set_empty(__isl_take isl_space
*dim
)
5580 return isl_set_alloc_space(dim
, 0, ISL_MAP_DISJOINT
);
5583 __isl_give isl_map
*isl_map_universe(__isl_take isl_space
*dim
)
5585 struct isl_map
*map
;
5588 map
= isl_map_alloc_space(isl_space_copy(dim
), 1, ISL_MAP_DISJOINT
);
5589 map
= isl_map_add_basic_map(map
, isl_basic_map_universe(dim
));
5593 __isl_give isl_set
*isl_set_universe(__isl_take isl_space
*dim
)
5595 struct isl_set
*set
;
5598 set
= isl_set_alloc_space(isl_space_copy(dim
), 1, ISL_MAP_DISJOINT
);
5599 set
= isl_set_add_basic_set(set
, isl_basic_set_universe(dim
));
5603 struct isl_map
*isl_map_dup(struct isl_map
*map
)
5606 struct isl_map
*dup
;
5610 dup
= isl_map_alloc_space(isl_space_copy(map
->dim
), map
->n
, map
->flags
);
5611 for (i
= 0; i
< map
->n
; ++i
)
5612 dup
= isl_map_add_basic_map(dup
, isl_basic_map_copy(map
->p
[i
]));
5616 __isl_give isl_map
*isl_map_add_basic_map(__isl_take isl_map
*map
,
5617 __isl_take isl_basic_map
*bmap
)
5621 if (isl_basic_map_plain_is_empty(bmap
)) {
5622 isl_basic_map_free(bmap
);
5625 isl_assert(map
->ctx
, isl_space_is_equal(map
->dim
, bmap
->dim
), goto error
);
5626 isl_assert(map
->ctx
, map
->n
< map
->size
, goto error
);
5627 map
->p
[map
->n
] = bmap
;
5629 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5635 isl_basic_map_free(bmap
);
5639 __isl_null isl_map
*isl_map_free(__isl_take isl_map
*map
)
5650 isl_ctx_deref(map
->ctx
);
5651 for (i
= 0; i
< map
->n
; ++i
)
5652 isl_basic_map_free(map
->p
[i
]);
5653 isl_space_free(map
->dim
);
5659 static struct isl_basic_map
*isl_basic_map_fix_pos_si(
5660 struct isl_basic_map
*bmap
, unsigned pos
, int value
)
5664 bmap
= isl_basic_map_cow(bmap
);
5665 bmap
= isl_basic_map_extend_constraints(bmap
, 1, 0);
5666 j
= isl_basic_map_alloc_equality(bmap
);
5669 isl_seq_clr(bmap
->eq
[j
] + 1, isl_basic_map_total_dim(bmap
));
5670 isl_int_set_si(bmap
->eq
[j
][pos
], -1);
5671 isl_int_set_si(bmap
->eq
[j
][0], value
);
5672 bmap
= isl_basic_map_simplify(bmap
);
5673 return isl_basic_map_finalize(bmap
);
5675 isl_basic_map_free(bmap
);
5679 static __isl_give isl_basic_map
*isl_basic_map_fix_pos(
5680 __isl_take isl_basic_map
*bmap
, unsigned pos
, isl_int value
)
5684 bmap
= isl_basic_map_cow(bmap
);
5685 bmap
= isl_basic_map_extend_constraints(bmap
, 1, 0);
5686 j
= isl_basic_map_alloc_equality(bmap
);
5689 isl_seq_clr(bmap
->eq
[j
] + 1, isl_basic_map_total_dim(bmap
));
5690 isl_int_set_si(bmap
->eq
[j
][pos
], -1);
5691 isl_int_set(bmap
->eq
[j
][0], value
);
5692 bmap
= isl_basic_map_simplify(bmap
);
5693 return isl_basic_map_finalize(bmap
);
5695 isl_basic_map_free(bmap
);
5699 struct isl_basic_map
*isl_basic_map_fix_si(struct isl_basic_map
*bmap
,
5700 enum isl_dim_type type
, unsigned pos
, int value
)
5702 if (isl_basic_map_check_range(bmap
, type
, pos
, 1) < 0)
5703 return isl_basic_map_free(bmap
);
5704 return isl_basic_map_fix_pos_si(bmap
,
5705 isl_basic_map_offset(bmap
, type
) + pos
, value
);
5708 __isl_give isl_basic_map
*isl_basic_map_fix(__isl_take isl_basic_map
*bmap
,
5709 enum isl_dim_type type
, unsigned pos
, isl_int value
)
5711 if (isl_basic_map_check_range(bmap
, type
, pos
, 1) < 0)
5712 return isl_basic_map_free(bmap
);
5713 return isl_basic_map_fix_pos(bmap
,
5714 isl_basic_map_offset(bmap
, type
) + pos
, value
);
5717 /* Fix the value of the variable at position "pos" of type "type" of "bmap"
5718 * to be equal to "v".
5720 __isl_give isl_basic_map
*isl_basic_map_fix_val(__isl_take isl_basic_map
*bmap
,
5721 enum isl_dim_type type
, unsigned pos
, __isl_take isl_val
*v
)
5725 if (!isl_val_is_int(v
))
5726 isl_die(isl_basic_map_get_ctx(bmap
), isl_error_invalid
,
5727 "expecting integer value", goto error
);
5728 if (isl_basic_map_check_range(bmap
, type
, pos
, 1) < 0)
5730 pos
+= isl_basic_map_offset(bmap
, type
);
5731 bmap
= isl_basic_map_fix_pos(bmap
, pos
, v
->n
);
5735 isl_basic_map_free(bmap
);
5740 /* Fix the value of the variable at position "pos" of type "type" of "bset"
5741 * to be equal to "v".
5743 __isl_give isl_basic_set
*isl_basic_set_fix_val(__isl_take isl_basic_set
*bset
,
5744 enum isl_dim_type type
, unsigned pos
, __isl_take isl_val
*v
)
5746 return isl_basic_map_fix_val(bset
, type
, pos
, v
);
5749 struct isl_basic_set
*isl_basic_set_fix_si(struct isl_basic_set
*bset
,
5750 enum isl_dim_type type
, unsigned pos
, int value
)
5752 return bset_from_bmap(isl_basic_map_fix_si(bset_to_bmap(bset
),
5756 __isl_give isl_basic_set
*isl_basic_set_fix(__isl_take isl_basic_set
*bset
,
5757 enum isl_dim_type type
, unsigned pos
, isl_int value
)
5759 return bset_from_bmap(isl_basic_map_fix(bset_to_bmap(bset
),
5763 struct isl_basic_map
*isl_basic_map_fix_input_si(struct isl_basic_map
*bmap
,
5764 unsigned input
, int value
)
5766 return isl_basic_map_fix_si(bmap
, isl_dim_in
, input
, value
);
5769 struct isl_basic_set
*isl_basic_set_fix_dim_si(struct isl_basic_set
*bset
,
5770 unsigned dim
, int value
)
5772 return bset_from_bmap(isl_basic_map_fix_si(bset_to_bmap(bset
),
5773 isl_dim_set
, dim
, value
));
5776 static int remove_if_empty(__isl_keep isl_map
*map
, int i
)
5778 int empty
= isl_basic_map_plain_is_empty(map
->p
[i
]);
5785 isl_basic_map_free(map
->p
[i
]);
5786 if (i
!= map
->n
- 1) {
5787 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5788 map
->p
[i
] = map
->p
[map
->n
- 1];
5795 /* Perform "fn" on each basic map of "map", where we may not be holding
5796 * the only reference to "map".
5797 * In particular, "fn" should be a semantics preserving operation
5798 * that we want to apply to all copies of "map". We therefore need
5799 * to be careful not to modify "map" in a way that breaks "map"
5800 * in case anything goes wrong.
5802 __isl_give isl_map
*isl_map_inline_foreach_basic_map(__isl_take isl_map
*map
,
5803 __isl_give isl_basic_map
*(*fn
)(__isl_take isl_basic_map
*bmap
))
5805 struct isl_basic_map
*bmap
;
5811 for (i
= map
->n
- 1; i
>= 0; --i
) {
5812 bmap
= isl_basic_map_copy(map
->p
[i
]);
5816 isl_basic_map_free(map
->p
[i
]);
5818 if (remove_if_empty(map
, i
) < 0)
5828 struct isl_map
*isl_map_fix_si(struct isl_map
*map
,
5829 enum isl_dim_type type
, unsigned pos
, int value
)
5833 map
= isl_map_cow(map
);
5837 isl_assert(map
->ctx
, pos
< isl_map_dim(map
, type
), goto error
);
5838 for (i
= map
->n
- 1; i
>= 0; --i
) {
5839 map
->p
[i
] = isl_basic_map_fix_si(map
->p
[i
], type
, pos
, value
);
5840 if (remove_if_empty(map
, i
) < 0)
5843 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5850 __isl_give isl_set
*isl_set_fix_si(__isl_take isl_set
*set
,
5851 enum isl_dim_type type
, unsigned pos
, int value
)
5853 return set_from_map(isl_map_fix_si(set_to_map(set
), type
, pos
, value
));
5856 __isl_give isl_map
*isl_map_fix(__isl_take isl_map
*map
,
5857 enum isl_dim_type type
, unsigned pos
, isl_int value
)
5861 map
= isl_map_cow(map
);
5865 isl_assert(map
->ctx
, pos
< isl_map_dim(map
, type
), goto error
);
5866 for (i
= 0; i
< map
->n
; ++i
) {
5867 map
->p
[i
] = isl_basic_map_fix(map
->p
[i
], type
, pos
, value
);
5871 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5878 __isl_give isl_set
*isl_set_fix(__isl_take isl_set
*set
,
5879 enum isl_dim_type type
, unsigned pos
, isl_int value
)
5881 return set_from_map(isl_map_fix(set_to_map(set
), type
, pos
, value
));
5884 /* Fix the value of the variable at position "pos" of type "type" of "map"
5885 * to be equal to "v".
5887 __isl_give isl_map
*isl_map_fix_val(__isl_take isl_map
*map
,
5888 enum isl_dim_type type
, unsigned pos
, __isl_take isl_val
*v
)
5892 map
= isl_map_cow(map
);
5896 if (!isl_val_is_int(v
))
5897 isl_die(isl_map_get_ctx(map
), isl_error_invalid
,
5898 "expecting integer value", goto error
);
5899 if (pos
>= isl_map_dim(map
, type
))
5900 isl_die(isl_map_get_ctx(map
), isl_error_invalid
,
5901 "index out of bounds", goto error
);
5902 for (i
= map
->n
- 1; i
>= 0; --i
) {
5903 map
->p
[i
] = isl_basic_map_fix_val(map
->p
[i
], type
, pos
,
5905 if (remove_if_empty(map
, i
) < 0)
5908 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5917 /* Fix the value of the variable at position "pos" of type "type" of "set"
5918 * to be equal to "v".
5920 __isl_give isl_set
*isl_set_fix_val(__isl_take isl_set
*set
,
5921 enum isl_dim_type type
, unsigned pos
, __isl_take isl_val
*v
)
5923 return isl_map_fix_val(set
, type
, pos
, v
);
5926 struct isl_map
*isl_map_fix_input_si(struct isl_map
*map
,
5927 unsigned input
, int value
)
5929 return isl_map_fix_si(map
, isl_dim_in
, input
, value
);
5932 struct isl_set
*isl_set_fix_dim_si(struct isl_set
*set
, unsigned dim
, int value
)
5934 return set_from_map(isl_map_fix_si(set_to_map(set
),
5935 isl_dim_set
, dim
, value
));
5938 static __isl_give isl_basic_map
*basic_map_bound_si(
5939 __isl_take isl_basic_map
*bmap
,
5940 enum isl_dim_type type
, unsigned pos
, int value
, int upper
)
5944 if (isl_basic_map_check_range(bmap
, type
, pos
, 1) < 0)
5945 return isl_basic_map_free(bmap
);
5946 pos
+= isl_basic_map_offset(bmap
, type
);
5947 bmap
= isl_basic_map_cow(bmap
);
5948 bmap
= isl_basic_map_extend_constraints(bmap
, 0, 1);
5949 j
= isl_basic_map_alloc_inequality(bmap
);
5952 isl_seq_clr(bmap
->ineq
[j
], 1 + isl_basic_map_total_dim(bmap
));
5954 isl_int_set_si(bmap
->ineq
[j
][pos
], -1);
5955 isl_int_set_si(bmap
->ineq
[j
][0], value
);
5957 isl_int_set_si(bmap
->ineq
[j
][pos
], 1);
5958 isl_int_set_si(bmap
->ineq
[j
][0], -value
);
5960 bmap
= isl_basic_map_simplify(bmap
);
5961 return isl_basic_map_finalize(bmap
);
5963 isl_basic_map_free(bmap
);
5967 __isl_give isl_basic_map
*isl_basic_map_lower_bound_si(
5968 __isl_take isl_basic_map
*bmap
,
5969 enum isl_dim_type type
, unsigned pos
, int value
)
5971 return basic_map_bound_si(bmap
, type
, pos
, value
, 0);
5974 /* Constrain the values of the given dimension to be no greater than "value".
5976 __isl_give isl_basic_map
*isl_basic_map_upper_bound_si(
5977 __isl_take isl_basic_map
*bmap
,
5978 enum isl_dim_type type
, unsigned pos
, int value
)
5980 return basic_map_bound_si(bmap
, type
, pos
, value
, 1);
5983 static __isl_give isl_map
*map_bound_si(__isl_take isl_map
*map
,
5984 enum isl_dim_type type
, unsigned pos
, int value
, int upper
)
5988 map
= isl_map_cow(map
);
5992 isl_assert(map
->ctx
, pos
< isl_map_dim(map
, type
), goto error
);
5993 for (i
= 0; i
< map
->n
; ++i
) {
5994 map
->p
[i
] = basic_map_bound_si(map
->p
[i
],
5995 type
, pos
, value
, upper
);
5999 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
6006 __isl_give isl_map
*isl_map_lower_bound_si(__isl_take isl_map
*map
,
6007 enum isl_dim_type type
, unsigned pos
, int value
)
6009 return map_bound_si(map
, type
, pos
, value
, 0);
6012 __isl_give isl_map
*isl_map_upper_bound_si(__isl_take isl_map
*map
,
6013 enum isl_dim_type type
, unsigned pos
, int value
)
6015 return map_bound_si(map
, type
, pos
, value
, 1);
6018 __isl_give isl_set
*isl_set_lower_bound_si(__isl_take isl_set
*set
,
6019 enum isl_dim_type type
, unsigned pos
, int value
)
6021 return set_from_map(isl_map_lower_bound_si(set_to_map(set
),
6025 __isl_give isl_set
*isl_set_upper_bound_si(__isl_take isl_set
*set
,
6026 enum isl_dim_type type
, unsigned pos
, int value
)
6028 return isl_map_upper_bound_si(set
, type
, pos
, value
);
6031 /* Bound the given variable of "bmap" from below (or above is "upper"
6032 * is set) to "value".
6034 static __isl_give isl_basic_map
*basic_map_bound(
6035 __isl_take isl_basic_map
*bmap
,
6036 enum isl_dim_type type
, unsigned pos
, isl_int value
, int upper
)
6040 if (isl_basic_map_check_range(bmap
, type
, pos
, 1) < 0)
6041 return isl_basic_map_free(bmap
);
6042 pos
+= isl_basic_map_offset(bmap
, type
);
6043 bmap
= isl_basic_map_cow(bmap
);
6044 bmap
= isl_basic_map_extend_constraints(bmap
, 0, 1);
6045 j
= isl_basic_map_alloc_inequality(bmap
);
6048 isl_seq_clr(bmap
->ineq
[j
], 1 + isl_basic_map_total_dim(bmap
));
6050 isl_int_set_si(bmap
->ineq
[j
][pos
], -1);
6051 isl_int_set(bmap
->ineq
[j
][0], value
);
6053 isl_int_set_si(bmap
->ineq
[j
][pos
], 1);
6054 isl_int_neg(bmap
->ineq
[j
][0], value
);
6056 bmap
= isl_basic_map_simplify(bmap
);
6057 return isl_basic_map_finalize(bmap
);
6059 isl_basic_map_free(bmap
);
6063 /* Bound the given variable of "map" from below (or above is "upper"
6064 * is set) to "value".
6066 static __isl_give isl_map
*map_bound(__isl_take isl_map
*map
,
6067 enum isl_dim_type type
, unsigned pos
, isl_int value
, int upper
)
6071 map
= isl_map_cow(map
);
6075 if (pos
>= isl_map_dim(map
, type
))
6076 isl_die(map
->ctx
, isl_error_invalid
,
6077 "index out of bounds", goto error
);
6078 for (i
= map
->n
- 1; i
>= 0; --i
) {
6079 map
->p
[i
] = basic_map_bound(map
->p
[i
], type
, pos
, value
, upper
);
6080 if (remove_if_empty(map
, i
) < 0)
6083 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
6090 __isl_give isl_map
*isl_map_lower_bound(__isl_take isl_map
*map
,
6091 enum isl_dim_type type
, unsigned pos
, isl_int value
)
6093 return map_bound(map
, type
, pos
, value
, 0);
6096 __isl_give isl_map
*isl_map_upper_bound(__isl_take isl_map
*map
,
6097 enum isl_dim_type type
, unsigned pos
, isl_int value
)
6099 return map_bound(map
, type
, pos
, value
, 1);
6102 __isl_give isl_set
*isl_set_lower_bound(__isl_take isl_set
*set
,
6103 enum isl_dim_type type
, unsigned pos
, isl_int value
)
6105 return isl_map_lower_bound(set
, type
, pos
, value
);
6108 __isl_give isl_set
*isl_set_upper_bound(__isl_take isl_set
*set
,
6109 enum isl_dim_type type
, unsigned pos
, isl_int value
)
6111 return isl_map_upper_bound(set
, type
, pos
, value
);
6114 /* Force the values of the variable at position "pos" of type "type" of "set"
6115 * to be no smaller than "value".
6117 __isl_give isl_set
*isl_set_lower_bound_val(__isl_take isl_set
*set
,
6118 enum isl_dim_type type
, unsigned pos
, __isl_take isl_val
*value
)
6122 if (!isl_val_is_int(value
))
6123 isl_die(isl_set_get_ctx(set
), isl_error_invalid
,
6124 "expecting integer value", goto error
);
6125 set
= isl_set_lower_bound(set
, type
, pos
, value
->n
);
6126 isl_val_free(value
);
6129 isl_val_free(value
);
6134 /* Force the values of the variable at position "pos" of type "type" of "set"
6135 * to be no greater than "value".
6137 __isl_give isl_set
*isl_set_upper_bound_val(__isl_take isl_set
*set
,
6138 enum isl_dim_type type
, unsigned pos
, __isl_take isl_val
*value
)
6142 if (!isl_val_is_int(value
))
6143 isl_die(isl_set_get_ctx(set
), isl_error_invalid
,
6144 "expecting integer value", goto error
);
6145 set
= isl_set_upper_bound(set
, type
, pos
, value
->n
);
6146 isl_val_free(value
);
6149 isl_val_free(value
);
6154 struct isl_map
*isl_map_reverse(struct isl_map
*map
)
6158 map
= isl_map_cow(map
);
6162 map
->dim
= isl_space_reverse(map
->dim
);
6165 for (i
= 0; i
< map
->n
; ++i
) {
6166 map
->p
[i
] = isl_basic_map_reverse(map
->p
[i
]);
6170 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
6178 #define TYPE isl_pw_multi_aff
6180 #define SUFFIX _pw_multi_aff
6182 #define EMPTY isl_pw_multi_aff_empty
6184 #define ADD isl_pw_multi_aff_union_add
6185 #include "isl_map_lexopt_templ.c"
6187 /* Given a map "map", compute the lexicographically minimal
6188 * (or maximal) image element for each domain element in dom,
6189 * in the form of an isl_pw_multi_aff.
6190 * If "empty" is not NULL, then set *empty to those elements in dom that
6191 * do not have an image element.
6192 * If "flags" includes ISL_OPT_FULL, then "dom" is NULL and the optimum
6193 * should be computed over the domain of "map". "empty" is also NULL
6196 * We first compute the lexicographically minimal or maximal element
6197 * in the first basic map. This results in a partial solution "res"
6198 * and a subset "todo" of dom that still need to be handled.
6199 * We then consider each of the remaining maps in "map" and successively
6200 * update both "res" and "todo".
6201 * If "empty" is NULL, then the todo sets are not needed and therefore
6202 * also not computed.
6204 static __isl_give isl_pw_multi_aff
*isl_map_partial_lexopt_aligned_pw_multi_aff(
6205 __isl_take isl_map
*map
, __isl_take isl_set
*dom
,
6206 __isl_give isl_set
**empty
, unsigned flags
)
6210 isl_pw_multi_aff
*res
;
6213 full
= ISL_FL_ISSET(flags
, ISL_OPT_FULL
);
6214 if (!map
|| (!full
&& !dom
))
6217 if (isl_map_plain_is_empty(map
)) {
6222 return isl_pw_multi_aff_from_map(map
);
6225 res
= basic_map_partial_lexopt_pw_multi_aff(
6226 isl_basic_map_copy(map
->p
[0]),
6227 isl_set_copy(dom
), empty
, flags
);
6231 for (i
= 1; i
< map
->n
; ++i
) {
6232 isl_pw_multi_aff
*res_i
;
6234 res_i
= basic_map_partial_lexopt_pw_multi_aff(
6235 isl_basic_map_copy(map
->p
[i
]),
6236 isl_set_copy(dom
), empty
, flags
);
6238 if (ISL_FL_ISSET(flags
, ISL_OPT_MAX
))
6239 res
= isl_pw_multi_aff_union_lexmax(res
, res_i
);
6241 res
= isl_pw_multi_aff_union_lexmin(res
, res_i
);
6244 todo
= isl_set_intersect(todo
, *empty
);
6263 #define TYPE isl_map
6267 #define EMPTY isl_map_empty
6269 #define ADD isl_map_union_disjoint
6270 #include "isl_map_lexopt_templ.c"
6272 /* Given a map "map", compute the lexicographically minimal
6273 * (or maximal) image element for each domain element in "dom",
6274 * in the form of an isl_map.
6275 * If "empty" is not NULL, then set *empty to those elements in "dom" that
6276 * do not have an image element.
6277 * If "flags" includes ISL_OPT_FULL, then "dom" is NULL and the optimum
6278 * should be computed over the domain of "map". "empty" is also NULL
6281 * If the input consists of more than one disjunct, then first
6282 * compute the desired result in the form of an isl_pw_multi_aff and
6283 * then convert that into an isl_map.
6285 * This function used to have an explicit implementation in terms
6286 * of isl_maps, but it would continually intersect the domains of
6287 * partial results with the complement of the domain of the next
6288 * partial solution, potentially leading to an explosion in the number
6289 * of disjuncts if there are several disjuncts in the input.
6290 * An even earlier implementation of this function would look for
6291 * better results in the domain of the partial result and for extra
6292 * results in the complement of this domain, which would lead to
6293 * even more splintering.
6295 static __isl_give isl_map
*isl_map_partial_lexopt_aligned(
6296 __isl_take isl_map
*map
, __isl_take isl_set
*dom
,
6297 __isl_give isl_set
**empty
, unsigned flags
)
6300 struct isl_map
*res
;
6301 isl_pw_multi_aff
*pma
;
6303 full
= ISL_FL_ISSET(flags
, ISL_OPT_FULL
);
6304 if (!map
|| (!full
&& !dom
))
6307 if (isl_map_plain_is_empty(map
)) {
6316 res
= basic_map_partial_lexopt(isl_basic_map_copy(map
->p
[0]),
6322 pma
= isl_map_partial_lexopt_aligned_pw_multi_aff(map
, dom
, empty
,
6324 return isl_map_from_pw_multi_aff(pma
);
6333 __isl_give isl_map
*isl_map_partial_lexmax(
6334 __isl_take isl_map
*map
, __isl_take isl_set
*dom
,
6335 __isl_give isl_set
**empty
)
6337 return isl_map_partial_lexopt(map
, dom
, empty
, ISL_OPT_MAX
);
6340 __isl_give isl_map
*isl_map_partial_lexmin(
6341 __isl_take isl_map
*map
, __isl_take isl_set
*dom
,
6342 __isl_give isl_set
**empty
)
6344 return isl_map_partial_lexopt(map
, dom
, empty
, 0);
6347 __isl_give isl_set
*isl_set_partial_lexmin(
6348 __isl_take isl_set
*set
, __isl_take isl_set
*dom
,
6349 __isl_give isl_set
**empty
)
6351 return set_from_map(isl_map_partial_lexmin(set_to_map(set
),
6355 __isl_give isl_set
*isl_set_partial_lexmax(
6356 __isl_take isl_set
*set
, __isl_take isl_set
*dom
,
6357 __isl_give isl_set
**empty
)
6359 return set_from_map(isl_map_partial_lexmax(set_to_map(set
),
6363 /* Compute the lexicographic minimum (or maximum if "flags" includes
6364 * ISL_OPT_MAX) of "bset" over its parametric domain.
6366 __isl_give isl_set
*isl_basic_set_lexopt(__isl_take isl_basic_set
*bset
,
6369 return isl_basic_map_lexopt(bset
, flags
);
6372 __isl_give isl_map
*isl_basic_map_lexmax(__isl_take isl_basic_map
*bmap
)
6374 return isl_basic_map_lexopt(bmap
, ISL_OPT_MAX
);
6377 __isl_give isl_set
*isl_basic_set_lexmin(__isl_take isl_basic_set
*bset
)
6379 return set_from_map(isl_basic_map_lexmin(bset_to_bmap(bset
)));
6382 __isl_give isl_set
*isl_basic_set_lexmax(__isl_take isl_basic_set
*bset
)
6384 return set_from_map(isl_basic_map_lexmax(bset_to_bmap(bset
)));
6387 /* Compute the lexicographic minimum of "bset" over its parametric domain
6388 * for the purpose of quantifier elimination.
6389 * That is, find an explicit representation for all the existentially
6390 * quantified variables in "bset" by computing their lexicographic
6393 static __isl_give isl_set
*isl_basic_set_lexmin_compute_divs(
6394 __isl_take isl_basic_set
*bset
)
6396 return isl_basic_set_lexopt(bset
, ISL_OPT_QE
);
6399 /* Extract the first and only affine expression from list
6400 * and then add it to *pwaff with the given dom.
6401 * This domain is known to be disjoint from other domains
6402 * because of the way isl_basic_map_foreach_lexmax works.
6404 static isl_stat
update_dim_opt(__isl_take isl_basic_set
*dom
,
6405 __isl_take isl_aff_list
*list
, void *user
)
6407 isl_ctx
*ctx
= isl_basic_set_get_ctx(dom
);
6409 isl_pw_aff
**pwaff
= user
;
6410 isl_pw_aff
*pwaff_i
;
6414 if (isl_aff_list_n_aff(list
) != 1)
6415 isl_die(ctx
, isl_error_internal
,
6416 "expecting single element list", goto error
);
6418 aff
= isl_aff_list_get_aff(list
, 0);
6419 pwaff_i
= isl_pw_aff_alloc(isl_set_from_basic_set(dom
), aff
);
6421 *pwaff
= isl_pw_aff_add_disjoint(*pwaff
, pwaff_i
);
6423 isl_aff_list_free(list
);
6427 isl_basic_set_free(dom
);
6428 isl_aff_list_free(list
);
6429 return isl_stat_error
;
6432 /* Given a basic map with one output dimension, compute the minimum or
6433 * maximum of that dimension as an isl_pw_aff.
6435 * The isl_pw_aff is constructed by having isl_basic_map_foreach_lexopt
6436 * call update_dim_opt on each leaf of the result.
6438 static __isl_give isl_pw_aff
*basic_map_dim_opt(__isl_keep isl_basic_map
*bmap
,
6441 isl_space
*dim
= isl_basic_map_get_space(bmap
);
6445 dim
= isl_space_from_domain(isl_space_domain(dim
));
6446 dim
= isl_space_add_dims(dim
, isl_dim_out
, 1);
6447 pwaff
= isl_pw_aff_empty(dim
);
6449 r
= isl_basic_map_foreach_lexopt(bmap
, max
, &update_dim_opt
, &pwaff
);
6451 return isl_pw_aff_free(pwaff
);
6456 /* Compute the minimum or maximum of the given output dimension
6457 * as a function of the parameters and the input dimensions,
6458 * but independently of the other output dimensions.
6460 * We first project out the other output dimension and then compute
6461 * the "lexicographic" maximum in each basic map, combining the results
6462 * using isl_pw_aff_union_max.
6464 static __isl_give isl_pw_aff
*map_dim_opt(__isl_take isl_map
*map
, int pos
,
6471 n_out
= isl_map_dim(map
, isl_dim_out
);
6472 map
= isl_map_project_out(map
, isl_dim_out
, pos
+ 1, n_out
- (pos
+ 1));
6473 map
= isl_map_project_out(map
, isl_dim_out
, 0, pos
);
6478 isl_space
*dim
= isl_map_get_space(map
);
6480 return isl_pw_aff_empty(dim
);
6483 pwaff
= basic_map_dim_opt(map
->p
[0], max
);
6484 for (i
= 1; i
< map
->n
; ++i
) {
6485 isl_pw_aff
*pwaff_i
;
6487 pwaff_i
= basic_map_dim_opt(map
->p
[i
], max
);
6488 pwaff
= isl_pw_aff_union_opt(pwaff
, pwaff_i
, max
);
6496 /* Compute the minimum of the given output dimension as a function of the
6497 * parameters and input dimensions, but independently of
6498 * the other output dimensions.
6500 __isl_give isl_pw_aff
*isl_map_dim_min(__isl_take isl_map
*map
, int pos
)
6502 return map_dim_opt(map
, pos
, 0);
6505 /* Compute the maximum of the given output dimension as a function of the
6506 * parameters and input dimensions, but independently of
6507 * the other output dimensions.
6509 __isl_give isl_pw_aff
*isl_map_dim_max(__isl_take isl_map
*map
, int pos
)
6511 return map_dim_opt(map
, pos
, 1);
6514 /* Compute the minimum or maximum of the given set dimension
6515 * as a function of the parameters,
6516 * but independently of the other set dimensions.
6518 static __isl_give isl_pw_aff
*set_dim_opt(__isl_take isl_set
*set
, int pos
,
6521 return map_dim_opt(set
, pos
, max
);
6524 /* Compute the maximum of the given set dimension as a function of the
6525 * parameters, but independently of the other set dimensions.
6527 __isl_give isl_pw_aff
*isl_set_dim_max(__isl_take isl_set
*set
, int pos
)
6529 return set_dim_opt(set
, pos
, 1);
6532 /* Compute the minimum of the given set dimension as a function of the
6533 * parameters, but independently of the other set dimensions.
6535 __isl_give isl_pw_aff
*isl_set_dim_min(__isl_take isl_set
*set
, int pos
)
6537 return set_dim_opt(set
, pos
, 0);
6540 /* Apply a preimage specified by "mat" on the parameters of "bset".
6541 * bset is assumed to have only parameters and divs.
6543 static struct isl_basic_set
*basic_set_parameter_preimage(
6544 struct isl_basic_set
*bset
, struct isl_mat
*mat
)
6551 bset
->dim
= isl_space_cow(bset
->dim
);
6555 nparam
= isl_basic_set_dim(bset
, isl_dim_param
);
6557 isl_assert(bset
->ctx
, mat
->n_row
== 1 + nparam
, goto error
);
6559 bset
->dim
->nparam
= 0;
6560 bset
->dim
->n_out
= nparam
;
6561 bset
= isl_basic_set_preimage(bset
, mat
);
6563 bset
->dim
->nparam
= bset
->dim
->n_out
;
6564 bset
->dim
->n_out
= 0;
6569 isl_basic_set_free(bset
);
6573 /* Apply a preimage specified by "mat" on the parameters of "set".
6574 * set is assumed to have only parameters and divs.
6576 static __isl_give isl_set
*set_parameter_preimage(__isl_take isl_set
*set
,
6577 __isl_take isl_mat
*mat
)
6585 nparam
= isl_set_dim(set
, isl_dim_param
);
6587 if (mat
->n_row
!= 1 + nparam
)
6588 isl_die(isl_set_get_ctx(set
), isl_error_internal
,
6589 "unexpected number of rows", goto error
);
6591 space
= isl_set_get_space(set
);
6592 space
= isl_space_move_dims(space
, isl_dim_set
, 0,
6593 isl_dim_param
, 0, nparam
);
6594 set
= isl_set_reset_space(set
, space
);
6595 set
= isl_set_preimage(set
, mat
);
6596 nparam
= isl_set_dim(set
, isl_dim_out
);
6597 space
= isl_set_get_space(set
);
6598 space
= isl_space_move_dims(space
, isl_dim_param
, 0,
6599 isl_dim_out
, 0, nparam
);
6600 set
= isl_set_reset_space(set
, space
);
6608 /* Intersect the basic set "bset" with the affine space specified by the
6609 * equalities in "eq".
6611 static struct isl_basic_set
*basic_set_append_equalities(
6612 struct isl_basic_set
*bset
, struct isl_mat
*eq
)
6620 bset
= isl_basic_set_extend_space(bset
, isl_space_copy(bset
->dim
), 0,
6625 len
= 1 + isl_space_dim(bset
->dim
, isl_dim_all
) + bset
->extra
;
6626 for (i
= 0; i
< eq
->n_row
; ++i
) {
6627 k
= isl_basic_set_alloc_equality(bset
);
6630 isl_seq_cpy(bset
->eq
[k
], eq
->row
[i
], eq
->n_col
);
6631 isl_seq_clr(bset
->eq
[k
] + eq
->n_col
, len
- eq
->n_col
);
6635 bset
= isl_basic_set_gauss(bset
, NULL
);
6636 bset
= isl_basic_set_finalize(bset
);
6641 isl_basic_set_free(bset
);
6645 /* Intersect the set "set" with the affine space specified by the
6646 * equalities in "eq".
6648 static struct isl_set
*set_append_equalities(struct isl_set
*set
,
6656 for (i
= 0; i
< set
->n
; ++i
) {
6657 set
->p
[i
] = basic_set_append_equalities(set
->p
[i
],
6670 /* Given a basic set "bset" that only involves parameters and existentially
6671 * quantified variables, return the index of the first equality
6672 * that only involves parameters. If there is no such equality then
6673 * return bset->n_eq.
6675 * This function assumes that isl_basic_set_gauss has been called on "bset".
6677 static int first_parameter_equality(__isl_keep isl_basic_set
*bset
)
6680 unsigned nparam
, n_div
;
6685 nparam
= isl_basic_set_dim(bset
, isl_dim_param
);
6686 n_div
= isl_basic_set_dim(bset
, isl_dim_div
);
6688 for (i
= 0, j
= n_div
- 1; i
< bset
->n_eq
&& j
>= 0; --j
) {
6689 if (!isl_int_is_zero(bset
->eq
[i
][1 + nparam
+ j
]))
6696 /* Compute an explicit representation for the existentially quantified
6697 * variables in "bset" by computing the "minimal value" of the set
6698 * variables. Since there are no set variables, the computation of
6699 * the minimal value essentially computes an explicit representation
6700 * of the non-empty part(s) of "bset".
6702 * The input only involves parameters and existentially quantified variables.
6703 * All equalities among parameters have been removed.
6705 * Since the existentially quantified variables in the result are in general
6706 * going to be different from those in the input, we first replace
6707 * them by the minimal number of variables based on their equalities.
6708 * This should simplify the parametric integer programming.
6710 static __isl_give isl_set
*base_compute_divs(__isl_take isl_basic_set
*bset
)
6712 isl_morph
*morph1
, *morph2
;
6718 if (bset
->n_eq
== 0)
6719 return isl_basic_set_lexmin_compute_divs(bset
);
6721 morph1
= isl_basic_set_parameter_compression(bset
);
6722 bset
= isl_morph_basic_set(isl_morph_copy(morph1
), bset
);
6723 bset
= isl_basic_set_lift(bset
);
6724 morph2
= isl_basic_set_variable_compression(bset
, isl_dim_set
);
6725 bset
= isl_morph_basic_set(morph2
, bset
);
6726 n
= isl_basic_set_dim(bset
, isl_dim_set
);
6727 bset
= isl_basic_set_project_out(bset
, isl_dim_set
, 0, n
);
6729 set
= isl_basic_set_lexmin_compute_divs(bset
);
6731 set
= isl_morph_set(isl_morph_inverse(morph1
), set
);
6736 /* Project the given basic set onto its parameter domain, possibly introducing
6737 * new, explicit, existential variables in the constraints.
6738 * The input has parameters and (possibly implicit) existential variables.
6739 * The output has the same parameters, but only
6740 * explicit existentially quantified variables.
6742 * The actual projection is performed by pip, but pip doesn't seem
6743 * to like equalities very much, so we first remove the equalities
6744 * among the parameters by performing a variable compression on
6745 * the parameters. Afterward, an inverse transformation is performed
6746 * and the equalities among the parameters are inserted back in.
6748 * The variable compression on the parameters may uncover additional
6749 * equalities that were only implicit before. We therefore check
6750 * if there are any new parameter equalities in the result and
6751 * if so recurse. The removal of parameter equalities is required
6752 * for the parameter compression performed by base_compute_divs.
6754 static struct isl_set
*parameter_compute_divs(struct isl_basic_set
*bset
)
6758 struct isl_mat
*T
, *T2
;
6759 struct isl_set
*set
;
6762 bset
= isl_basic_set_cow(bset
);
6766 if (bset
->n_eq
== 0)
6767 return base_compute_divs(bset
);
6769 bset
= isl_basic_set_gauss(bset
, NULL
);
6772 if (isl_basic_set_plain_is_empty(bset
))
6773 return isl_set_from_basic_set(bset
);
6775 i
= first_parameter_equality(bset
);
6776 if (i
== bset
->n_eq
)
6777 return base_compute_divs(bset
);
6779 nparam
= isl_basic_set_dim(bset
, isl_dim_param
);
6780 eq
= isl_mat_sub_alloc6(bset
->ctx
, bset
->eq
, i
, bset
->n_eq
- i
,
6782 eq
= isl_mat_cow(eq
);
6783 T
= isl_mat_variable_compression(isl_mat_copy(eq
), &T2
);
6784 if (T
&& T
->n_col
== 0) {
6788 bset
= isl_basic_set_set_to_empty(bset
);
6789 return isl_set_from_basic_set(bset
);
6791 bset
= basic_set_parameter_preimage(bset
, T
);
6793 i
= first_parameter_equality(bset
);
6796 else if (i
== bset
->n_eq
)
6797 set
= base_compute_divs(bset
);
6799 set
= parameter_compute_divs(bset
);
6800 set
= set_parameter_preimage(set
, T2
);
6801 set
= set_append_equalities(set
, eq
);
6805 /* Insert the divs from "ls" before those of "bmap".
6807 * The number of columns is not changed, which means that the last
6808 * dimensions of "bmap" are being reintepreted as the divs from "ls".
6809 * The caller is responsible for removing the same number of dimensions
6810 * from the space of "bmap".
6812 static __isl_give isl_basic_map
*insert_divs_from_local_space(
6813 __isl_take isl_basic_map
*bmap
, __isl_keep isl_local_space
*ls
)
6819 n_div
= isl_local_space_dim(ls
, isl_dim_div
);
6823 old_n_div
= bmap
->n_div
;
6824 bmap
= insert_div_rows(bmap
, n_div
);
6828 for (i
= 0; i
< n_div
; ++i
) {
6829 isl_seq_cpy(bmap
->div
[i
], ls
->div
->row
[i
], ls
->div
->n_col
);
6830 isl_seq_clr(bmap
->div
[i
] + ls
->div
->n_col
, old_n_div
);
6836 /* Replace the space of "bmap" by the space and divs of "ls".
6838 * If "ls" has any divs, then we simplify the result since we may
6839 * have discovered some additional equalities that could simplify
6840 * the div expressions.
6842 static __isl_give isl_basic_map
*basic_replace_space_by_local_space(
6843 __isl_take isl_basic_map
*bmap
, __isl_take isl_local_space
*ls
)
6847 bmap
= isl_basic_map_cow(bmap
);
6851 n_div
= isl_local_space_dim(ls
, isl_dim_div
);
6852 bmap
= insert_divs_from_local_space(bmap
, ls
);
6856 isl_space_free(bmap
->dim
);
6857 bmap
->dim
= isl_local_space_get_space(ls
);
6861 isl_local_space_free(ls
);
6863 bmap
= isl_basic_map_simplify(bmap
);
6864 bmap
= isl_basic_map_finalize(bmap
);
6867 isl_basic_map_free(bmap
);
6868 isl_local_space_free(ls
);
6872 /* Replace the space of "map" by the space and divs of "ls".
6874 static __isl_give isl_map
*replace_space_by_local_space(__isl_take isl_map
*map
,
6875 __isl_take isl_local_space
*ls
)
6879 map
= isl_map_cow(map
);
6883 for (i
= 0; i
< map
->n
; ++i
) {
6884 map
->p
[i
] = basic_replace_space_by_local_space(map
->p
[i
],
6885 isl_local_space_copy(ls
));
6889 isl_space_free(map
->dim
);
6890 map
->dim
= isl_local_space_get_space(ls
);
6894 isl_local_space_free(ls
);
6897 isl_local_space_free(ls
);
6902 /* Compute an explicit representation for the existentially
6903 * quantified variables for which do not know any explicit representation yet.
6905 * We first sort the existentially quantified variables so that the
6906 * existentially quantified variables for which we already have an explicit
6907 * representation are placed before those for which we do not.
6908 * The input dimensions, the output dimensions and the existentially
6909 * quantified variables for which we already have an explicit
6910 * representation are then turned into parameters.
6911 * compute_divs returns a map with the same parameters and
6912 * no input or output dimensions and the dimension specification
6913 * is reset to that of the input, including the existentially quantified
6914 * variables for which we already had an explicit representation.
6916 static struct isl_map
*compute_divs(struct isl_basic_map
*bmap
)
6918 struct isl_basic_set
*bset
;
6919 struct isl_set
*set
;
6920 struct isl_map
*map
;
6922 isl_local_space
*ls
;
6929 bmap
= isl_basic_map_sort_divs(bmap
);
6930 bmap
= isl_basic_map_cow(bmap
);
6934 n_known
= isl_basic_map_first_unknown_div(bmap
);
6936 return isl_map_from_basic_map(isl_basic_map_free(bmap
));
6938 nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
6939 n_in
= isl_basic_map_dim(bmap
, isl_dim_in
);
6940 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
6941 dim
= isl_space_set_alloc(bmap
->ctx
,
6942 nparam
+ n_in
+ n_out
+ n_known
, 0);
6946 ls
= isl_basic_map_get_local_space(bmap
);
6947 ls
= isl_local_space_drop_dims(ls
, isl_dim_div
,
6948 n_known
, bmap
->n_div
- n_known
);
6950 for (i
= n_known
; i
< bmap
->n_div
; ++i
)
6951 swap_div(bmap
, i
- n_known
, i
);
6952 bmap
->n_div
-= n_known
;
6953 bmap
->extra
-= n_known
;
6955 bmap
= isl_basic_map_reset_space(bmap
, dim
);
6956 bset
= bset_from_bmap(bmap
);
6958 set
= parameter_compute_divs(bset
);
6959 map
= set_to_map(set
);
6960 map
= replace_space_by_local_space(map
, ls
);
6964 isl_basic_map_free(bmap
);
6968 /* Remove the explicit representation of local variable "div",
6971 __isl_give isl_basic_map
*isl_basic_map_mark_div_unknown(
6972 __isl_take isl_basic_map
*bmap
, int div
)
6976 unknown
= isl_basic_map_div_is_marked_unknown(bmap
, div
);
6978 return isl_basic_map_free(bmap
);
6982 bmap
= isl_basic_map_cow(bmap
);
6985 isl_int_set_si(bmap
->div
[div
][0], 0);
6989 /* Is local variable "div" of "bmap" marked as not having an explicit
6991 * Note that even if "div" is not marked in this way and therefore
6992 * has an explicit representation, this representation may still
6993 * depend (indirectly) on other local variables that do not
6994 * have an explicit representation.
6996 isl_bool
isl_basic_map_div_is_marked_unknown(__isl_keep isl_basic_map
*bmap
,
6999 if (isl_basic_map_check_range(bmap
, isl_dim_div
, div
, 1) < 0)
7000 return isl_bool_error
;
7001 return isl_int_is_zero(bmap
->div
[div
][0]);
7004 /* Return the position of the first local variable that does not
7005 * have an explicit representation.
7006 * Return the total number of local variables if they all have
7007 * an explicit representation.
7008 * Return -1 on error.
7010 int isl_basic_map_first_unknown_div(__isl_keep isl_basic_map
*bmap
)
7017 for (i
= 0; i
< bmap
->n_div
; ++i
) {
7018 if (!isl_basic_map_div_is_known(bmap
, i
))
7024 /* Return the position of the first local variable that does not
7025 * have an explicit representation.
7026 * Return the total number of local variables if they all have
7027 * an explicit representation.
7028 * Return -1 on error.
7030 int isl_basic_set_first_unknown_div(__isl_keep isl_basic_set
*bset
)
7032 return isl_basic_map_first_unknown_div(bset
);
7035 /* Does "bmap" have an explicit representation for all local variables?
7037 isl_bool
isl_basic_map_divs_known(__isl_keep isl_basic_map
*bmap
)
7041 n
= isl_basic_map_dim(bmap
, isl_dim_div
);
7042 first
= isl_basic_map_first_unknown_div(bmap
);
7044 return isl_bool_error
;
7048 /* Do all basic maps in "map" have an explicit representation
7049 * for all local variables?
7051 isl_bool
isl_map_divs_known(__isl_keep isl_map
*map
)
7056 return isl_bool_error
;
7058 for (i
= 0; i
< map
->n
; ++i
) {
7059 int known
= isl_basic_map_divs_known(map
->p
[i
]);
7064 return isl_bool_true
;
7067 /* If bmap contains any unknown divs, then compute explicit
7068 * expressions for them. However, this computation may be
7069 * quite expensive, so first try to remove divs that aren't
7072 struct isl_map
*isl_basic_map_compute_divs(struct isl_basic_map
*bmap
)
7075 struct isl_map
*map
;
7077 known
= isl_basic_map_divs_known(bmap
);
7081 return isl_map_from_basic_map(bmap
);
7083 bmap
= isl_basic_map_drop_redundant_divs(bmap
);
7085 known
= isl_basic_map_divs_known(bmap
);
7089 return isl_map_from_basic_map(bmap
);
7091 map
= compute_divs(bmap
);
7094 isl_basic_map_free(bmap
);
7098 struct isl_map
*isl_map_compute_divs(struct isl_map
*map
)
7102 struct isl_map
*res
;
7109 known
= isl_map_divs_known(map
);
7117 res
= isl_basic_map_compute_divs(isl_basic_map_copy(map
->p
[0]));
7118 for (i
= 1 ; i
< map
->n
; ++i
) {
7120 r2
= isl_basic_map_compute_divs(isl_basic_map_copy(map
->p
[i
]));
7121 if (ISL_F_ISSET(map
, ISL_MAP_DISJOINT
))
7122 res
= isl_map_union_disjoint(res
, r2
);
7124 res
= isl_map_union(res
, r2
);
7131 struct isl_set
*isl_basic_set_compute_divs(struct isl_basic_set
*bset
)
7133 return set_from_map(isl_basic_map_compute_divs(bset_to_bmap(bset
)));
7136 struct isl_set
*isl_set_compute_divs(struct isl_set
*set
)
7138 return set_from_map(isl_map_compute_divs(set_to_map(set
)));
7141 struct isl_set
*isl_map_domain(struct isl_map
*map
)
7144 struct isl_set
*set
;
7149 map
= isl_map_cow(map
);
7153 set
= set_from_map(map
);
7154 set
->dim
= isl_space_domain(set
->dim
);
7157 for (i
= 0; i
< map
->n
; ++i
) {
7158 set
->p
[i
] = isl_basic_map_domain(map
->p
[i
]);
7162 ISL_F_CLR(set
, ISL_MAP_DISJOINT
);
7163 ISL_F_CLR(set
, ISL_SET_NORMALIZED
);
7170 /* Return the union of "map1" and "map2", where we assume for now that
7171 * "map1" and "map2" are disjoint. Note that the basic maps inside
7172 * "map1" or "map2" may not be disjoint from each other.
7173 * Also note that this function is also called from isl_map_union,
7174 * which takes care of handling the situation where "map1" and "map2"
7175 * may not be disjoint.
7177 * If one of the inputs is empty, we can simply return the other input.
7178 * Similarly, if one of the inputs is universal, then it is equal to the union.
7180 static __isl_give isl_map
*map_union_disjoint(__isl_take isl_map
*map1
,
7181 __isl_take isl_map
*map2
)
7185 struct isl_map
*map
= NULL
;
7191 if (!isl_space_is_equal(map1
->dim
, map2
->dim
))
7192 isl_die(isl_map_get_ctx(map1
), isl_error_invalid
,
7193 "spaces don't match", goto error
);
7204 is_universe
= isl_map_plain_is_universe(map1
);
7205 if (is_universe
< 0)
7212 is_universe
= isl_map_plain_is_universe(map2
);
7213 if (is_universe
< 0)
7220 if (ISL_F_ISSET(map1
, ISL_MAP_DISJOINT
) &&
7221 ISL_F_ISSET(map2
, ISL_MAP_DISJOINT
))
7222 ISL_FL_SET(flags
, ISL_MAP_DISJOINT
);
7224 map
= isl_map_alloc_space(isl_space_copy(map1
->dim
),
7225 map1
->n
+ map2
->n
, flags
);
7228 for (i
= 0; i
< map1
->n
; ++i
) {
7229 map
= isl_map_add_basic_map(map
,
7230 isl_basic_map_copy(map1
->p
[i
]));
7234 for (i
= 0; i
< map2
->n
; ++i
) {
7235 map
= isl_map_add_basic_map(map
,
7236 isl_basic_map_copy(map2
->p
[i
]));
7250 /* Return the union of "map1" and "map2", where "map1" and "map2" are
7251 * guaranteed to be disjoint by the caller.
7253 * Note that this functions is called from within isl_map_make_disjoint,
7254 * so we have to be careful not to touch the constraints of the inputs
7257 __isl_give isl_map
*isl_map_union_disjoint(__isl_take isl_map
*map1
,
7258 __isl_take isl_map
*map2
)
7260 return isl_map_align_params_map_map_and(map1
, map2
, &map_union_disjoint
);
7263 /* Return the union of "map1" and "map2", where "map1" and "map2" may
7264 * not be disjoint. The parameters are assumed to have been aligned.
7266 * We currently simply call map_union_disjoint, the internal operation
7267 * of which does not really depend on the inputs being disjoint.
7268 * If the result contains more than one basic map, then we clear
7269 * the disjoint flag since the result may contain basic maps from
7270 * both inputs and these are not guaranteed to be disjoint.
7272 * As a special case, if "map1" and "map2" are obviously equal,
7273 * then we simply return "map1".
7275 static __isl_give isl_map
*map_union_aligned(__isl_take isl_map
*map1
,
7276 __isl_take isl_map
*map2
)
7283 equal
= isl_map_plain_is_equal(map1
, map2
);
7291 map1
= map_union_disjoint(map1
, map2
);
7295 ISL_F_CLR(map1
, ISL_MAP_DISJOINT
);
7303 /* Return the union of "map1" and "map2", where "map1" and "map2" may
7306 __isl_give isl_map
*isl_map_union(__isl_take isl_map
*map1
,
7307 __isl_take isl_map
*map2
)
7309 return isl_map_align_params_map_map_and(map1
, map2
, &map_union_aligned
);
7312 struct isl_set
*isl_set_union_disjoint(
7313 struct isl_set
*set1
, struct isl_set
*set2
)
7315 return set_from_map(isl_map_union_disjoint(set_to_map(set1
),
7319 struct isl_set
*isl_set_union(struct isl_set
*set1
, struct isl_set
*set2
)
7321 return set_from_map(isl_map_union(set_to_map(set1
), set_to_map(set2
)));
7324 /* Apply "fn" to pairs of elements from "map" and "set" and collect
7327 * "map" and "set" are assumed to be compatible and non-NULL.
7329 static __isl_give isl_map
*map_intersect_set(__isl_take isl_map
*map
,
7330 __isl_take isl_set
*set
,
7331 __isl_give isl_basic_map
*fn(__isl_take isl_basic_map
*bmap
,
7332 __isl_take isl_basic_set
*bset
))
7335 struct isl_map
*result
;
7338 if (isl_set_plain_is_universe(set
)) {
7343 if (ISL_F_ISSET(map
, ISL_MAP_DISJOINT
) &&
7344 ISL_F_ISSET(set
, ISL_MAP_DISJOINT
))
7345 ISL_FL_SET(flags
, ISL_MAP_DISJOINT
);
7347 result
= isl_map_alloc_space(isl_space_copy(map
->dim
),
7348 map
->n
* set
->n
, flags
);
7349 for (i
= 0; result
&& i
< map
->n
; ++i
)
7350 for (j
= 0; j
< set
->n
; ++j
) {
7351 result
= isl_map_add_basic_map(result
,
7352 fn(isl_basic_map_copy(map
->p
[i
]),
7353 isl_basic_set_copy(set
->p
[j
])));
7363 static __isl_give isl_map
*map_intersect_range(__isl_take isl_map
*map
,
7364 __isl_take isl_set
*set
)
7368 ok
= isl_map_compatible_range(map
, set
);
7372 isl_die(set
->ctx
, isl_error_invalid
,
7373 "incompatible spaces", goto error
);
7375 return map_intersect_set(map
, set
, &isl_basic_map_intersect_range
);
7382 __isl_give isl_map
*isl_map_intersect_range(__isl_take isl_map
*map
,
7383 __isl_take isl_set
*set
)
7385 return isl_map_align_params_map_map_and(map
, set
, &map_intersect_range
);
7388 static __isl_give isl_map
*map_intersect_domain(__isl_take isl_map
*map
,
7389 __isl_take isl_set
*set
)
7393 ok
= isl_map_compatible_domain(map
, set
);
7397 isl_die(set
->ctx
, isl_error_invalid
,
7398 "incompatible spaces", goto error
);
7400 return map_intersect_set(map
, set
, &isl_basic_map_intersect_domain
);
7407 __isl_give isl_map
*isl_map_intersect_domain(__isl_take isl_map
*map
,
7408 __isl_take isl_set
*set
)
7410 return isl_map_align_params_map_map_and(map
, set
,
7411 &map_intersect_domain
);
7414 static __isl_give isl_map
*map_apply_domain(__isl_take isl_map
*map1
,
7415 __isl_take isl_map
*map2
)
7419 map1
= isl_map_reverse(map1
);
7420 map1
= isl_map_apply_range(map1
, map2
);
7421 return isl_map_reverse(map1
);
7428 __isl_give isl_map
*isl_map_apply_domain(__isl_take isl_map
*map1
,
7429 __isl_take isl_map
*map2
)
7431 return isl_map_align_params_map_map_and(map1
, map2
, &map_apply_domain
);
7434 static __isl_give isl_map
*map_apply_range(__isl_take isl_map
*map1
,
7435 __isl_take isl_map
*map2
)
7437 isl_space
*dim_result
;
7438 struct isl_map
*result
;
7444 dim_result
= isl_space_join(isl_space_copy(map1
->dim
),
7445 isl_space_copy(map2
->dim
));
7447 result
= isl_map_alloc_space(dim_result
, map1
->n
* map2
->n
, 0);
7450 for (i
= 0; i
< map1
->n
; ++i
)
7451 for (j
= 0; j
< map2
->n
; ++j
) {
7452 result
= isl_map_add_basic_map(result
,
7453 isl_basic_map_apply_range(
7454 isl_basic_map_copy(map1
->p
[i
]),
7455 isl_basic_map_copy(map2
->p
[j
])));
7461 if (result
&& result
->n
<= 1)
7462 ISL_F_SET(result
, ISL_MAP_DISJOINT
);
7470 __isl_give isl_map
*isl_map_apply_range(__isl_take isl_map
*map1
,
7471 __isl_take isl_map
*map2
)
7473 return isl_map_align_params_map_map_and(map1
, map2
, &map_apply_range
);
7477 * returns range - domain
7479 struct isl_basic_set
*isl_basic_map_deltas(struct isl_basic_map
*bmap
)
7481 isl_space
*target_space
;
7482 struct isl_basic_set
*bset
;
7489 isl_assert(bmap
->ctx
, isl_space_tuple_is_equal(bmap
->dim
, isl_dim_in
,
7490 bmap
->dim
, isl_dim_out
),
7492 target_space
= isl_space_domain(isl_basic_map_get_space(bmap
));
7493 dim
= isl_basic_map_n_in(bmap
);
7494 nparam
= isl_basic_map_n_param(bmap
);
7495 bmap
= isl_basic_map_from_range(isl_basic_map_wrap(bmap
));
7496 bmap
= isl_basic_map_add_dims(bmap
, isl_dim_in
, dim
);
7497 bmap
= isl_basic_map_extend_constraints(bmap
, dim
, 0);
7498 for (i
= 0; i
< dim
; ++i
) {
7499 int j
= isl_basic_map_alloc_equality(bmap
);
7501 bmap
= isl_basic_map_free(bmap
);
7504 isl_seq_clr(bmap
->eq
[j
], 1 + isl_basic_map_total_dim(bmap
));
7505 isl_int_set_si(bmap
->eq
[j
][1+nparam
+i
], 1);
7506 isl_int_set_si(bmap
->eq
[j
][1+nparam
+dim
+i
], 1);
7507 isl_int_set_si(bmap
->eq
[j
][1+nparam
+2*dim
+i
], -1);
7509 bset
= isl_basic_map_domain(bmap
);
7510 bset
= isl_basic_set_reset_space(bset
, target_space
);
7513 isl_basic_map_free(bmap
);
7518 * returns range - domain
7520 __isl_give isl_set
*isl_map_deltas(__isl_take isl_map
*map
)
7524 struct isl_set
*result
;
7529 isl_assert(map
->ctx
, isl_space_tuple_is_equal(map
->dim
, isl_dim_in
,
7530 map
->dim
, isl_dim_out
),
7532 dim
= isl_map_get_space(map
);
7533 dim
= isl_space_domain(dim
);
7534 result
= isl_set_alloc_space(dim
, map
->n
, 0);
7537 for (i
= 0; i
< map
->n
; ++i
)
7538 result
= isl_set_add_basic_set(result
,
7539 isl_basic_map_deltas(isl_basic_map_copy(map
->p
[i
])));
7548 * returns [domain -> range] -> range - domain
7550 __isl_give isl_basic_map
*isl_basic_map_deltas_map(
7551 __isl_take isl_basic_map
*bmap
)
7555 isl_basic_map
*domain
;
7559 if (!isl_space_tuple_is_equal(bmap
->dim
, isl_dim_in
,
7560 bmap
->dim
, isl_dim_out
))
7561 isl_die(bmap
->ctx
, isl_error_invalid
,
7562 "domain and range don't match", goto error
);
7564 nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
7565 n
= isl_basic_map_dim(bmap
, isl_dim_in
);
7567 dim
= isl_space_from_range(isl_space_domain(isl_basic_map_get_space(bmap
)));
7568 domain
= isl_basic_map_universe(dim
);
7570 bmap
= isl_basic_map_from_domain(isl_basic_map_wrap(bmap
));
7571 bmap
= isl_basic_map_apply_range(bmap
, domain
);
7572 bmap
= isl_basic_map_extend_constraints(bmap
, n
, 0);
7574 total
= isl_basic_map_total_dim(bmap
);
7576 for (i
= 0; i
< n
; ++i
) {
7577 k
= isl_basic_map_alloc_equality(bmap
);
7580 isl_seq_clr(bmap
->eq
[k
], 1 + total
);
7581 isl_int_set_si(bmap
->eq
[k
][1 + nparam
+ i
], 1);
7582 isl_int_set_si(bmap
->eq
[k
][1 + nparam
+ n
+ i
], -1);
7583 isl_int_set_si(bmap
->eq
[k
][1 + nparam
+ n
+ n
+ i
], 1);
7586 bmap
= isl_basic_map_gauss(bmap
, NULL
);
7587 return isl_basic_map_finalize(bmap
);
7589 isl_basic_map_free(bmap
);
7594 * returns [domain -> range] -> range - domain
7596 __isl_give isl_map
*isl_map_deltas_map(__isl_take isl_map
*map
)
7599 isl_space
*domain_dim
;
7604 if (!isl_space_tuple_is_equal(map
->dim
, isl_dim_in
,
7605 map
->dim
, isl_dim_out
))
7606 isl_die(map
->ctx
, isl_error_invalid
,
7607 "domain and range don't match", goto error
);
7609 map
= isl_map_cow(map
);
7613 domain_dim
= isl_space_from_range(isl_space_domain(isl_map_get_space(map
)));
7614 map
->dim
= isl_space_from_domain(isl_space_wrap(map
->dim
));
7615 map
->dim
= isl_space_join(map
->dim
, domain_dim
);
7618 for (i
= 0; i
< map
->n
; ++i
) {
7619 map
->p
[i
] = isl_basic_map_deltas_map(map
->p
[i
]);
7623 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
7630 static __isl_give isl_basic_map
*basic_map_identity(__isl_take isl_space
*dims
)
7632 struct isl_basic_map
*bmap
;
7640 nparam
= dims
->nparam
;
7642 bmap
= isl_basic_map_alloc_space(dims
, 0, dim
, 0);
7646 for (i
= 0; i
< dim
; ++i
) {
7647 int j
= isl_basic_map_alloc_equality(bmap
);
7650 isl_seq_clr(bmap
->eq
[j
], 1 + isl_basic_map_total_dim(bmap
));
7651 isl_int_set_si(bmap
->eq
[j
][1+nparam
+i
], 1);
7652 isl_int_set_si(bmap
->eq
[j
][1+nparam
+dim
+i
], -1);
7654 return isl_basic_map_finalize(bmap
);
7656 isl_basic_map_free(bmap
);
7660 __isl_give isl_basic_map
*isl_basic_map_identity(__isl_take isl_space
*dim
)
7664 if (dim
->n_in
!= dim
->n_out
)
7665 isl_die(dim
->ctx
, isl_error_invalid
,
7666 "number of input and output dimensions needs to be "
7667 "the same", goto error
);
7668 return basic_map_identity(dim
);
7670 isl_space_free(dim
);
7674 __isl_give isl_map
*isl_map_identity(__isl_take isl_space
*dim
)
7676 return isl_map_from_basic_map(isl_basic_map_identity(dim
));
7679 __isl_give isl_map
*isl_set_identity(__isl_take isl_set
*set
)
7681 isl_space
*dim
= isl_set_get_space(set
);
7683 id
= isl_map_identity(isl_space_map_from_set(dim
));
7684 return isl_map_intersect_range(id
, set
);
7687 /* Construct a basic set with all set dimensions having only non-negative
7690 __isl_give isl_basic_set
*isl_basic_set_positive_orthant(
7691 __isl_take isl_space
*space
)
7696 struct isl_basic_set
*bset
;
7700 nparam
= space
->nparam
;
7702 bset
= isl_basic_set_alloc_space(space
, 0, 0, dim
);
7705 for (i
= 0; i
< dim
; ++i
) {
7706 int k
= isl_basic_set_alloc_inequality(bset
);
7709 isl_seq_clr(bset
->ineq
[k
], 1 + isl_basic_set_total_dim(bset
));
7710 isl_int_set_si(bset
->ineq
[k
][1 + nparam
+ i
], 1);
7714 isl_basic_set_free(bset
);
7718 /* Construct the half-space x_pos >= 0.
7720 static __isl_give isl_basic_set
*nonneg_halfspace(__isl_take isl_space
*dim
,
7724 isl_basic_set
*nonneg
;
7726 nonneg
= isl_basic_set_alloc_space(dim
, 0, 0, 1);
7727 k
= isl_basic_set_alloc_inequality(nonneg
);
7730 isl_seq_clr(nonneg
->ineq
[k
], 1 + isl_basic_set_total_dim(nonneg
));
7731 isl_int_set_si(nonneg
->ineq
[k
][pos
], 1);
7733 return isl_basic_set_finalize(nonneg
);
7735 isl_basic_set_free(nonneg
);
7739 /* Construct the half-space x_pos <= -1.
7741 static __isl_give isl_basic_set
*neg_halfspace(__isl_take isl_space
*dim
, int pos
)
7746 neg
= isl_basic_set_alloc_space(dim
, 0, 0, 1);
7747 k
= isl_basic_set_alloc_inequality(neg
);
7750 isl_seq_clr(neg
->ineq
[k
], 1 + isl_basic_set_total_dim(neg
));
7751 isl_int_set_si(neg
->ineq
[k
][0], -1);
7752 isl_int_set_si(neg
->ineq
[k
][pos
], -1);
7754 return isl_basic_set_finalize(neg
);
7756 isl_basic_set_free(neg
);
7760 __isl_give isl_set
*isl_set_split_dims(__isl_take isl_set
*set
,
7761 enum isl_dim_type type
, unsigned first
, unsigned n
)
7765 isl_basic_set
*nonneg
;
7773 isl_assert(set
->ctx
, first
+ n
<= isl_set_dim(set
, type
), goto error
);
7775 offset
= pos(set
->dim
, type
);
7776 for (i
= 0; i
< n
; ++i
) {
7777 nonneg
= nonneg_halfspace(isl_set_get_space(set
),
7778 offset
+ first
+ i
);
7779 neg
= neg_halfspace(isl_set_get_space(set
), offset
+ first
+ i
);
7781 set
= isl_set_intersect(set
, isl_basic_set_union(nonneg
, neg
));
7790 static isl_stat
foreach_orthant(__isl_take isl_set
*set
, int *signs
, int first
,
7792 isl_stat (*fn
)(__isl_take isl_set
*orthant
, int *signs
, void *user
),
7798 return isl_stat_error
;
7799 if (isl_set_plain_is_empty(set
)) {
7804 return fn(set
, signs
, user
);
7807 half
= isl_set_from_basic_set(nonneg_halfspace(isl_set_get_space(set
),
7809 half
= isl_set_intersect(half
, isl_set_copy(set
));
7810 if (foreach_orthant(half
, signs
, first
+ 1, len
, fn
, user
) < 0)
7814 half
= isl_set_from_basic_set(neg_halfspace(isl_set_get_space(set
),
7816 half
= isl_set_intersect(half
, set
);
7817 return foreach_orthant(half
, signs
, first
+ 1, len
, fn
, user
);
7820 return isl_stat_error
;
7823 /* Call "fn" on the intersections of "set" with each of the orthants
7824 * (except for obviously empty intersections). The orthant is identified
7825 * by the signs array, with each entry having value 1 or -1 according
7826 * to the sign of the corresponding variable.
7828 isl_stat
isl_set_foreach_orthant(__isl_keep isl_set
*set
,
7829 isl_stat (*fn
)(__isl_take isl_set
*orthant
, int *signs
, void *user
),
7838 return isl_stat_error
;
7839 if (isl_set_plain_is_empty(set
))
7842 nparam
= isl_set_dim(set
, isl_dim_param
);
7843 nvar
= isl_set_dim(set
, isl_dim_set
);
7845 signs
= isl_alloc_array(set
->ctx
, int, nparam
+ nvar
);
7847 r
= foreach_orthant(isl_set_copy(set
), signs
, 0, nparam
+ nvar
,
7855 isl_bool
isl_set_is_equal(__isl_keep isl_set
*set1
, __isl_keep isl_set
*set2
)
7857 return isl_map_is_equal(set_to_map(set1
), set_to_map(set2
));
7860 isl_bool
isl_basic_map_is_subset(__isl_keep isl_basic_map
*bmap1
,
7861 __isl_keep isl_basic_map
*bmap2
)
7864 struct isl_map
*map1
;
7865 struct isl_map
*map2
;
7867 if (!bmap1
|| !bmap2
)
7868 return isl_bool_error
;
7870 map1
= isl_map_from_basic_map(isl_basic_map_copy(bmap1
));
7871 map2
= isl_map_from_basic_map(isl_basic_map_copy(bmap2
));
7873 is_subset
= isl_map_is_subset(map1
, map2
);
7881 isl_bool
isl_basic_set_is_subset(__isl_keep isl_basic_set
*bset1
,
7882 __isl_keep isl_basic_set
*bset2
)
7884 return isl_basic_map_is_subset(bset1
, bset2
);
7887 isl_bool
isl_basic_map_is_equal(__isl_keep isl_basic_map
*bmap1
,
7888 __isl_keep isl_basic_map
*bmap2
)
7892 if (!bmap1
|| !bmap2
)
7893 return isl_bool_error
;
7894 is_subset
= isl_basic_map_is_subset(bmap1
, bmap2
);
7895 if (is_subset
!= isl_bool_true
)
7897 is_subset
= isl_basic_map_is_subset(bmap2
, bmap1
);
7901 isl_bool
isl_basic_set_is_equal(__isl_keep isl_basic_set
*bset1
,
7902 __isl_keep isl_basic_set
*bset2
)
7904 return isl_basic_map_is_equal(
7905 bset_to_bmap(bset1
), bset_to_bmap(bset2
));
7908 isl_bool
isl_map_is_empty(__isl_keep isl_map
*map
)
7914 return isl_bool_error
;
7915 for (i
= 0; i
< map
->n
; ++i
) {
7916 is_empty
= isl_basic_map_is_empty(map
->p
[i
]);
7918 return isl_bool_error
;
7920 return isl_bool_false
;
7922 return isl_bool_true
;
7925 isl_bool
isl_map_plain_is_empty(__isl_keep isl_map
*map
)
7927 return map
? map
->n
== 0 : isl_bool_error
;
7930 isl_bool
isl_set_plain_is_empty(__isl_keep isl_set
*set
)
7932 return set
? set
->n
== 0 : isl_bool_error
;
7935 isl_bool
isl_set_is_empty(__isl_keep isl_set
*set
)
7937 return isl_map_is_empty(set_to_map(set
));
7940 isl_bool
isl_map_has_equal_space(__isl_keep isl_map
*map1
,
7941 __isl_keep isl_map
*map2
)
7944 return isl_bool_error
;
7946 return isl_space_is_equal(map1
->dim
, map2
->dim
);
7949 isl_bool
isl_set_has_equal_space(__isl_keep isl_set
*set1
,
7950 __isl_keep isl_set
*set2
)
7953 return isl_bool_error
;
7955 return isl_space_is_equal(set1
->dim
, set2
->dim
);
7958 static isl_bool
map_is_equal(__isl_keep isl_map
*map1
, __isl_keep isl_map
*map2
)
7963 return isl_bool_error
;
7964 is_subset
= isl_map_is_subset(map1
, map2
);
7965 if (is_subset
!= isl_bool_true
)
7967 is_subset
= isl_map_is_subset(map2
, map1
);
7971 /* Is "map1" equal to "map2"?
7973 * First check if they are obviously equal.
7974 * If not, then perform a more detailed analysis.
7976 isl_bool
isl_map_is_equal(__isl_keep isl_map
*map1
, __isl_keep isl_map
*map2
)
7980 equal
= isl_map_plain_is_equal(map1
, map2
);
7981 if (equal
< 0 || equal
)
7983 return isl_map_align_params_map_map_and_test(map1
, map2
, &map_is_equal
);
7986 isl_bool
isl_basic_map_is_strict_subset(
7987 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
7991 if (!bmap1
|| !bmap2
)
7992 return isl_bool_error
;
7993 is_subset
= isl_basic_map_is_subset(bmap1
, bmap2
);
7994 if (is_subset
!= isl_bool_true
)
7996 is_subset
= isl_basic_map_is_subset(bmap2
, bmap1
);
7997 if (is_subset
== isl_bool_error
)
8002 isl_bool
isl_map_is_strict_subset(__isl_keep isl_map
*map1
,
8003 __isl_keep isl_map
*map2
)
8008 return isl_bool_error
;
8009 is_subset
= isl_map_is_subset(map1
, map2
);
8010 if (is_subset
!= isl_bool_true
)
8012 is_subset
= isl_map_is_subset(map2
, map1
);
8013 if (is_subset
== isl_bool_error
)
8018 isl_bool
isl_set_is_strict_subset(__isl_keep isl_set
*set1
,
8019 __isl_keep isl_set
*set2
)
8021 return isl_map_is_strict_subset(set_to_map(set1
), set_to_map(set2
));
8024 /* Is "bmap" obviously equal to the universe with the same space?
8026 * That is, does it not have any constraints?
8028 isl_bool
isl_basic_map_plain_is_universe(__isl_keep isl_basic_map
*bmap
)
8031 return isl_bool_error
;
8032 return bmap
->n_eq
== 0 && bmap
->n_ineq
== 0;
8035 /* Is "bset" obviously equal to the universe with the same space?
8037 isl_bool
isl_basic_set_plain_is_universe(__isl_keep isl_basic_set
*bset
)
8039 return isl_basic_map_plain_is_universe(bset
);
8042 /* If "c" does not involve any existentially quantified variables,
8043 * then set *univ to false and abort
8045 static isl_stat
involves_divs(__isl_take isl_constraint
*c
, void *user
)
8047 isl_bool
*univ
= user
;
8050 n
= isl_constraint_dim(c
, isl_dim_div
);
8051 *univ
= isl_constraint_involves_dims(c
, isl_dim_div
, 0, n
);
8052 isl_constraint_free(c
);
8053 if (*univ
< 0 || !*univ
)
8054 return isl_stat_error
;
8058 /* Is "bmap" equal to the universe with the same space?
8060 * First check if it is obviously equal to the universe.
8061 * If not and if there are any constraints not involving
8062 * existentially quantified variables, then it is certainly
8063 * not equal to the universe.
8064 * Otherwise, check if the universe is a subset of "bmap".
8066 isl_bool
isl_basic_map_is_universe(__isl_keep isl_basic_map
*bmap
)
8069 isl_basic_map
*test
;
8071 univ
= isl_basic_map_plain_is_universe(bmap
);
8072 if (univ
< 0 || univ
)
8074 if (isl_basic_map_dim(bmap
, isl_dim_div
) == 0)
8075 return isl_bool_false
;
8076 univ
= isl_bool_true
;
8077 if (isl_basic_map_foreach_constraint(bmap
, &involves_divs
, &univ
) < 0 &&
8079 return isl_bool_error
;
8080 if (univ
< 0 || !univ
)
8082 test
= isl_basic_map_universe(isl_basic_map_get_space(bmap
));
8083 univ
= isl_basic_map_is_subset(test
, bmap
);
8084 isl_basic_map_free(test
);
8088 /* Is "bset" equal to the universe with the same space?
8090 isl_bool
isl_basic_set_is_universe(__isl_keep isl_basic_set
*bset
)
8092 return isl_basic_map_is_universe(bset
);
8095 isl_bool
isl_map_plain_is_universe(__isl_keep isl_map
*map
)
8100 return isl_bool_error
;
8102 for (i
= 0; i
< map
->n
; ++i
) {
8103 isl_bool r
= isl_basic_map_plain_is_universe(map
->p
[i
]);
8108 return isl_bool_false
;
8111 isl_bool
isl_set_plain_is_universe(__isl_keep isl_set
*set
)
8113 return isl_map_plain_is_universe(set_to_map(set
));
8116 isl_bool
isl_basic_map_is_empty(__isl_keep isl_basic_map
*bmap
)
8118 struct isl_basic_set
*bset
= NULL
;
8119 struct isl_vec
*sample
= NULL
;
8120 isl_bool empty
, non_empty
;
8123 return isl_bool_error
;
8125 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_EMPTY
))
8126 return isl_bool_true
;
8128 if (isl_basic_map_plain_is_universe(bmap
))
8129 return isl_bool_false
;
8131 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_RATIONAL
)) {
8132 struct isl_basic_map
*copy
= isl_basic_map_copy(bmap
);
8133 copy
= isl_basic_map_remove_redundancies(copy
);
8134 empty
= isl_basic_map_plain_is_empty(copy
);
8135 isl_basic_map_free(copy
);
8139 non_empty
= isl_basic_map_plain_is_non_empty(bmap
);
8141 return isl_bool_error
;
8143 return isl_bool_false
;
8144 isl_vec_free(bmap
->sample
);
8145 bmap
->sample
= NULL
;
8146 bset
= isl_basic_map_underlying_set(isl_basic_map_copy(bmap
));
8148 return isl_bool_error
;
8149 sample
= isl_basic_set_sample_vec(bset
);
8151 return isl_bool_error
;
8152 empty
= sample
->size
== 0;
8153 isl_vec_free(bmap
->sample
);
8154 bmap
->sample
= sample
;
8156 ISL_F_SET(bmap
, ISL_BASIC_MAP_EMPTY
);
8161 isl_bool
isl_basic_map_plain_is_empty(__isl_keep isl_basic_map
*bmap
)
8164 return isl_bool_error
;
8165 return ISL_F_ISSET(bmap
, ISL_BASIC_MAP_EMPTY
);
8168 isl_bool
isl_basic_set_plain_is_empty(__isl_keep isl_basic_set
*bset
)
8171 return isl_bool_error
;
8172 return ISL_F_ISSET(bset
, ISL_BASIC_SET_EMPTY
);
8175 /* Is "bmap" known to be non-empty?
8177 * That is, is the cached sample still valid?
8179 isl_bool
isl_basic_map_plain_is_non_empty(__isl_keep isl_basic_map
*bmap
)
8184 return isl_bool_error
;
8186 return isl_bool_false
;
8187 total
= 1 + isl_basic_map_total_dim(bmap
);
8188 if (bmap
->sample
->size
!= total
)
8189 return isl_bool_false
;
8190 return isl_basic_map_contains(bmap
, bmap
->sample
);
8193 isl_bool
isl_basic_set_is_empty(__isl_keep isl_basic_set
*bset
)
8195 return isl_basic_map_is_empty(bset_to_bmap(bset
));
8198 struct isl_map
*isl_basic_map_union(
8199 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
8201 struct isl_map
*map
;
8202 if (!bmap1
|| !bmap2
)
8205 isl_assert(bmap1
->ctx
, isl_space_is_equal(bmap1
->dim
, bmap2
->dim
), goto error
);
8207 map
= isl_map_alloc_space(isl_space_copy(bmap1
->dim
), 2, 0);
8210 map
= isl_map_add_basic_map(map
, bmap1
);
8211 map
= isl_map_add_basic_map(map
, bmap2
);
8214 isl_basic_map_free(bmap1
);
8215 isl_basic_map_free(bmap2
);
8219 struct isl_set
*isl_basic_set_union(
8220 struct isl_basic_set
*bset1
, struct isl_basic_set
*bset2
)
8222 return set_from_map(isl_basic_map_union(bset_to_bmap(bset1
),
8223 bset_to_bmap(bset2
)));
8226 /* Order divs such that any div only depends on previous divs */
8227 struct isl_basic_map
*isl_basic_map_order_divs(struct isl_basic_map
*bmap
)
8235 off
= isl_space_dim(bmap
->dim
, isl_dim_all
);
8237 for (i
= 0; i
< bmap
->n_div
; ++i
) {
8239 if (isl_int_is_zero(bmap
->div
[i
][0]))
8241 pos
= isl_seq_first_non_zero(bmap
->div
[i
]+1+1+off
+i
,
8246 isl_die(isl_basic_map_get_ctx(bmap
), isl_error_internal
,
8247 "integer division depends on itself",
8248 return isl_basic_map_free(bmap
));
8249 isl_basic_map_swap_div(bmap
, i
, i
+ pos
);
8255 struct isl_basic_set
*isl_basic_set_order_divs(struct isl_basic_set
*bset
)
8257 return bset_from_bmap(isl_basic_map_order_divs(bset_to_bmap(bset
)));
8260 __isl_give isl_map
*isl_map_order_divs(__isl_take isl_map
*map
)
8267 for (i
= 0; i
< map
->n
; ++i
) {
8268 map
->p
[i
] = isl_basic_map_order_divs(map
->p
[i
]);
8279 /* Sort the local variables of "bset".
8281 __isl_give isl_basic_set
*isl_basic_set_sort_divs(
8282 __isl_take isl_basic_set
*bset
)
8284 return bset_from_bmap(isl_basic_map_sort_divs(bset_to_bmap(bset
)));
8287 /* Apply the expansion computed by isl_merge_divs.
8288 * The expansion itself is given by "exp" while the resulting
8289 * list of divs is given by "div".
8291 * Move the integer divisions of "bmap" into the right position
8292 * according to "exp" and then introduce the additional integer
8293 * divisions, adding div constraints.
8294 * The moving should be done first to avoid moving coefficients
8295 * in the definitions of the extra integer divisions.
8297 __isl_give isl_basic_map
*isl_basic_map_expand_divs(
8298 __isl_take isl_basic_map
*bmap
, __isl_take isl_mat
*div
, int *exp
)
8303 bmap
= isl_basic_map_cow(bmap
);
8307 if (div
->n_row
< bmap
->n_div
)
8308 isl_die(isl_mat_get_ctx(div
), isl_error_invalid
,
8309 "not an expansion", goto error
);
8311 n_div
= bmap
->n_div
;
8312 bmap
= isl_basic_map_extend_space(bmap
, isl_space_copy(bmap
->dim
),
8313 div
->n_row
- n_div
, 0,
8314 2 * (div
->n_row
- n_div
));
8316 for (i
= n_div
; i
< div
->n_row
; ++i
)
8317 if (isl_basic_map_alloc_div(bmap
) < 0)
8320 for (j
= n_div
- 1; j
>= 0; --j
) {
8323 isl_basic_map_swap_div(bmap
, j
, exp
[j
]);
8326 for (i
= 0; i
< div
->n_row
; ++i
) {
8327 if (j
< n_div
&& exp
[j
] == i
) {
8330 isl_seq_cpy(bmap
->div
[i
], div
->row
[i
], div
->n_col
);
8331 if (isl_basic_map_div_is_marked_unknown(bmap
, i
))
8333 if (isl_basic_map_add_div_constraints(bmap
, i
) < 0)
8341 isl_basic_map_free(bmap
);
8346 /* Apply the expansion computed by isl_merge_divs.
8347 * The expansion itself is given by "exp" while the resulting
8348 * list of divs is given by "div".
8350 __isl_give isl_basic_set
*isl_basic_set_expand_divs(
8351 __isl_take isl_basic_set
*bset
, __isl_take isl_mat
*div
, int *exp
)
8353 return isl_basic_map_expand_divs(bset
, div
, exp
);
8356 /* Look for a div in dst that corresponds to the div "div" in src.
8357 * The divs before "div" in src and dst are assumed to be the same.
8359 * Returns -1 if no corresponding div was found and the position
8360 * of the corresponding div in dst otherwise.
8362 static int find_div(struct isl_basic_map
*dst
,
8363 struct isl_basic_map
*src
, unsigned div
)
8367 unsigned total
= isl_space_dim(src
->dim
, isl_dim_all
);
8369 isl_assert(dst
->ctx
, div
<= dst
->n_div
, return -1);
8370 for (i
= div
; i
< dst
->n_div
; ++i
)
8371 if (isl_seq_eq(dst
->div
[i
], src
->div
[div
], 1+1+total
+div
) &&
8372 isl_seq_first_non_zero(dst
->div
[i
]+1+1+total
+div
,
8373 dst
->n_div
- div
) == -1)
8378 /* Align the divs of "dst" to those of "src", adding divs from "src"
8379 * if needed. That is, make sure that the first src->n_div divs
8380 * of the result are equal to those of src.
8382 * The result is not finalized as by design it will have redundant
8383 * divs if any divs from "src" were copied.
8385 __isl_give isl_basic_map
*isl_basic_map_align_divs(
8386 __isl_take isl_basic_map
*dst
, __isl_keep isl_basic_map
*src
)
8389 int known
, extended
;
8393 return isl_basic_map_free(dst
);
8395 if (src
->n_div
== 0)
8398 known
= isl_basic_map_divs_known(src
);
8400 return isl_basic_map_free(dst
);
8402 isl_die(isl_basic_map_get_ctx(src
), isl_error_invalid
,
8403 "some src divs are unknown",
8404 return isl_basic_map_free(dst
));
8406 src
= isl_basic_map_order_divs(src
);
8409 total
= isl_space_dim(src
->dim
, isl_dim_all
);
8410 for (i
= 0; i
< src
->n_div
; ++i
) {
8411 int j
= find_div(dst
, src
, i
);
8414 int extra
= src
->n_div
- i
;
8415 dst
= isl_basic_map_cow(dst
);
8418 dst
= isl_basic_map_extend_space(dst
,
8419 isl_space_copy(dst
->dim
),
8420 extra
, 0, 2 * extra
);
8423 j
= isl_basic_map_alloc_div(dst
);
8425 return isl_basic_map_free(dst
);
8426 isl_seq_cpy(dst
->div
[j
], src
->div
[i
], 1+1+total
+i
);
8427 isl_seq_clr(dst
->div
[j
]+1+1+total
+i
, dst
->n_div
- i
);
8428 if (isl_basic_map_add_div_constraints(dst
, j
) < 0)
8429 return isl_basic_map_free(dst
);
8432 isl_basic_map_swap_div(dst
, i
, j
);
8437 struct isl_map
*isl_map_align_divs(struct isl_map
*map
)
8445 map
= isl_map_compute_divs(map
);
8446 map
= isl_map_cow(map
);
8450 for (i
= 1; i
< map
->n
; ++i
)
8451 map
->p
[0] = isl_basic_map_align_divs(map
->p
[0], map
->p
[i
]);
8452 for (i
= 1; i
< map
->n
; ++i
) {
8453 map
->p
[i
] = isl_basic_map_align_divs(map
->p
[i
], map
->p
[0]);
8455 return isl_map_free(map
);
8458 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
8462 struct isl_set
*isl_set_align_divs(struct isl_set
*set
)
8464 return set_from_map(isl_map_align_divs(set_to_map(set
)));
8467 /* Align the divs of the basic maps in "map" to those
8468 * of the basic maps in "list", as well as to the other basic maps in "map".
8469 * The elements in "list" are assumed to have known divs.
8471 __isl_give isl_map
*isl_map_align_divs_to_basic_map_list(
8472 __isl_take isl_map
*map
, __isl_keep isl_basic_map_list
*list
)
8476 map
= isl_map_compute_divs(map
);
8477 map
= isl_map_cow(map
);
8479 return isl_map_free(map
);
8483 n
= isl_basic_map_list_n_basic_map(list
);
8484 for (i
= 0; i
< n
; ++i
) {
8485 isl_basic_map
*bmap
;
8487 bmap
= isl_basic_map_list_get_basic_map(list
, i
);
8488 map
->p
[0] = isl_basic_map_align_divs(map
->p
[0], bmap
);
8489 isl_basic_map_free(bmap
);
8492 return isl_map_free(map
);
8494 return isl_map_align_divs(map
);
8497 /* Align the divs of each element of "list" to those of "bmap".
8498 * Both "bmap" and the elements of "list" are assumed to have known divs.
8500 __isl_give isl_basic_map_list
*isl_basic_map_list_align_divs_to_basic_map(
8501 __isl_take isl_basic_map_list
*list
, __isl_keep isl_basic_map
*bmap
)
8506 return isl_basic_map_list_free(list
);
8508 n
= isl_basic_map_list_n_basic_map(list
);
8509 for (i
= 0; i
< n
; ++i
) {
8510 isl_basic_map
*bmap_i
;
8512 bmap_i
= isl_basic_map_list_get_basic_map(list
, i
);
8513 bmap_i
= isl_basic_map_align_divs(bmap_i
, bmap
);
8514 list
= isl_basic_map_list_set_basic_map(list
, i
, bmap_i
);
8520 static __isl_give isl_set
*set_apply( __isl_take isl_set
*set
,
8521 __isl_take isl_map
*map
)
8525 ok
= isl_map_compatible_domain(map
, set
);
8529 isl_die(isl_set_get_ctx(set
), isl_error_invalid
,
8530 "incompatible spaces", goto error
);
8531 map
= isl_map_intersect_domain(map
, set
);
8532 set
= isl_map_range(map
);
8540 __isl_give isl_set
*isl_set_apply( __isl_take isl_set
*set
,
8541 __isl_take isl_map
*map
)
8543 return isl_map_align_params_map_map_and(set
, map
, &set_apply
);
8546 /* There is no need to cow as removing empty parts doesn't change
8547 * the meaning of the set.
8549 struct isl_map
*isl_map_remove_empty_parts(struct isl_map
*map
)
8556 for (i
= map
->n
- 1; i
>= 0; --i
)
8557 remove_if_empty(map
, i
);
8562 struct isl_set
*isl_set_remove_empty_parts(struct isl_set
*set
)
8564 return set_from_map(isl_map_remove_empty_parts(set_to_map(set
)));
8567 static __isl_give isl_basic_map
*map_copy_basic_map(__isl_keep isl_map
*map
)
8569 struct isl_basic_map
*bmap
;
8570 if (!map
|| map
->n
== 0)
8572 bmap
= map
->p
[map
->n
-1];
8573 isl_assert(map
->ctx
, ISL_F_ISSET(bmap
, ISL_BASIC_SET_FINAL
), return NULL
);
8574 return isl_basic_map_copy(bmap
);
8577 __isl_give isl_basic_map
*isl_map_copy_basic_map(__isl_keep isl_map
*map
)
8579 return map_copy_basic_map(map
);
8582 struct isl_basic_set
*isl_set_copy_basic_set(struct isl_set
*set
)
8584 return bset_from_bmap(map_copy_basic_map(set_to_map(set
)));
8587 static __isl_give isl_map
*map_drop_basic_map(__isl_take isl_map
*map
,
8588 __isl_keep isl_basic_map
*bmap
)
8594 for (i
= map
->n
-1; i
>= 0; --i
) {
8595 if (map
->p
[i
] != bmap
)
8597 map
= isl_map_cow(map
);
8600 isl_basic_map_free(map
->p
[i
]);
8601 if (i
!= map
->n
-1) {
8602 ISL_F_CLR(map
, ISL_SET_NORMALIZED
);
8603 map
->p
[i
] = map
->p
[map
->n
-1];
8614 __isl_give isl_map
*isl_map_drop_basic_map(__isl_take isl_map
*map
,
8615 __isl_keep isl_basic_map
*bmap
)
8617 return map_drop_basic_map(map
, bmap
);
8620 struct isl_set
*isl_set_drop_basic_set(struct isl_set
*set
,
8621 struct isl_basic_set
*bset
)
8623 return set_from_map(map_drop_basic_map(set_to_map(set
),
8624 bset_to_bmap(bset
)));
8627 /* Given two basic sets bset1 and bset2, compute the maximal difference
8628 * between the values of dimension pos in bset1 and those in bset2
8629 * for any common value of the parameters and dimensions preceding pos.
8631 static enum isl_lp_result
basic_set_maximal_difference_at(
8632 __isl_keep isl_basic_set
*bset1
, __isl_keep isl_basic_set
*bset2
,
8633 int pos
, isl_int
*opt
)
8635 isl_basic_map
*bmap1
;
8636 isl_basic_map
*bmap2
;
8637 struct isl_ctx
*ctx
;
8638 struct isl_vec
*obj
;
8642 enum isl_lp_result res
;
8644 if (!bset1
|| !bset2
)
8645 return isl_lp_error
;
8647 nparam
= isl_basic_set_n_param(bset1
);
8648 dim1
= isl_basic_set_n_dim(bset1
);
8650 bmap1
= isl_basic_map_from_range(isl_basic_set_copy(bset1
));
8651 bmap2
= isl_basic_map_from_range(isl_basic_set_copy(bset2
));
8652 bmap1
= isl_basic_map_move_dims(bmap1
, isl_dim_in
, 0,
8653 isl_dim_out
, 0, pos
);
8654 bmap2
= isl_basic_map_move_dims(bmap2
, isl_dim_in
, 0,
8655 isl_dim_out
, 0, pos
);
8656 bmap1
= isl_basic_map_range_product(bmap1
, bmap2
);
8658 return isl_lp_error
;
8660 total
= isl_basic_map_total_dim(bmap1
);
8662 obj
= isl_vec_alloc(ctx
, 1 + total
);
8665 isl_seq_clr(obj
->block
.data
, 1 + total
);
8666 isl_int_set_si(obj
->block
.data
[1+nparam
+pos
], 1);
8667 isl_int_set_si(obj
->block
.data
[1+nparam
+pos
+(dim1
-pos
)], -1);
8668 res
= isl_basic_map_solve_lp(bmap1
, 1, obj
->block
.data
, ctx
->one
,
8670 isl_basic_map_free(bmap1
);
8674 isl_basic_map_free(bmap1
);
8675 return isl_lp_error
;
8678 /* Given two _disjoint_ basic sets bset1 and bset2, check whether
8679 * for any common value of the parameters and dimensions preceding pos
8680 * in both basic sets, the values of dimension pos in bset1 are
8681 * smaller or larger than those in bset2.
8684 * 1 if bset1 follows bset2
8685 * -1 if bset1 precedes bset2
8686 * 0 if bset1 and bset2 are incomparable
8687 * -2 if some error occurred.
8689 int isl_basic_set_compare_at(struct isl_basic_set
*bset1
,
8690 struct isl_basic_set
*bset2
, int pos
)
8693 enum isl_lp_result res
;
8698 res
= basic_set_maximal_difference_at(bset1
, bset2
, pos
, &opt
);
8700 if (res
== isl_lp_empty
)
8702 else if ((res
== isl_lp_ok
&& isl_int_is_pos(opt
)) ||
8703 res
== isl_lp_unbounded
)
8705 else if (res
== isl_lp_ok
&& isl_int_is_neg(opt
))
8714 /* Given two basic sets bset1 and bset2, check whether
8715 * for any common value of the parameters and dimensions preceding pos
8716 * there is a value of dimension pos in bset1 that is larger
8717 * than a value of the same dimension in bset2.
8720 * 1 if there exists such a pair
8721 * 0 if there is no such pair, but there is a pair of equal values
8723 * -2 if some error occurred.
8725 int isl_basic_set_follows_at(__isl_keep isl_basic_set
*bset1
,
8726 __isl_keep isl_basic_set
*bset2
, int pos
)
8729 enum isl_lp_result res
;
8734 res
= basic_set_maximal_difference_at(bset1
, bset2
, pos
, &opt
);
8736 if (res
== isl_lp_empty
)
8738 else if ((res
== isl_lp_ok
&& isl_int_is_pos(opt
)) ||
8739 res
== isl_lp_unbounded
)
8741 else if (res
== isl_lp_ok
&& isl_int_is_neg(opt
))
8743 else if (res
== isl_lp_ok
)
8752 /* Given two sets set1 and set2, check whether
8753 * for any common value of the parameters and dimensions preceding pos
8754 * there is a value of dimension pos in set1 that is larger
8755 * than a value of the same dimension in set2.
8758 * 1 if there exists such a pair
8759 * 0 if there is no such pair, but there is a pair of equal values
8761 * -2 if some error occurred.
8763 int isl_set_follows_at(__isl_keep isl_set
*set1
,
8764 __isl_keep isl_set
*set2
, int pos
)
8772 for (i
= 0; i
< set1
->n
; ++i
)
8773 for (j
= 0; j
< set2
->n
; ++j
) {
8775 f
= isl_basic_set_follows_at(set1
->p
[i
], set2
->p
[j
], pos
);
8776 if (f
== 1 || f
== -2)
8785 static isl_bool
isl_basic_map_plain_has_fixed_var(
8786 __isl_keep isl_basic_map
*bmap
, unsigned pos
, isl_int
*val
)
8793 return isl_bool_error
;
8794 total
= isl_basic_map_total_dim(bmap
);
8795 for (i
= 0, d
= total
-1; i
< bmap
->n_eq
&& d
+1 > pos
; ++i
) {
8796 for (; d
+1 > pos
; --d
)
8797 if (!isl_int_is_zero(bmap
->eq
[i
][1+d
]))
8801 if (isl_seq_first_non_zero(bmap
->eq
[i
]+1, d
) != -1)
8802 return isl_bool_false
;
8803 if (isl_seq_first_non_zero(bmap
->eq
[i
]+1+d
+1, total
-d
-1) != -1)
8804 return isl_bool_false
;
8805 if (!isl_int_is_one(bmap
->eq
[i
][1+d
]))
8806 return isl_bool_false
;
8808 isl_int_neg(*val
, bmap
->eq
[i
][0]);
8809 return isl_bool_true
;
8811 return isl_bool_false
;
8814 static isl_bool
isl_map_plain_has_fixed_var(__isl_keep isl_map
*map
,
8815 unsigned pos
, isl_int
*val
)
8823 return isl_bool_error
;
8825 return isl_bool_false
;
8827 return isl_basic_map_plain_has_fixed_var(map
->p
[0], pos
, val
);
8830 fixed
= isl_basic_map_plain_has_fixed_var(map
->p
[0], pos
, &v
);
8831 for (i
= 1; fixed
== isl_bool_true
&& i
< map
->n
; ++i
) {
8832 fixed
= isl_basic_map_plain_has_fixed_var(map
->p
[i
], pos
, &tmp
);
8833 if (fixed
== isl_bool_true
&& isl_int_ne(tmp
, v
))
8834 fixed
= isl_bool_false
;
8837 isl_int_set(*val
, v
);
8843 static isl_bool
isl_basic_set_plain_has_fixed_var(
8844 __isl_keep isl_basic_set
*bset
, unsigned pos
, isl_int
*val
)
8846 return isl_basic_map_plain_has_fixed_var(bset_to_bmap(bset
),
8850 isl_bool
isl_basic_map_plain_is_fixed(__isl_keep isl_basic_map
*bmap
,
8851 enum isl_dim_type type
, unsigned pos
, isl_int
*val
)
8853 if (isl_basic_map_check_range(bmap
, type
, pos
, 1) < 0)
8854 return isl_bool_error
;
8855 return isl_basic_map_plain_has_fixed_var(bmap
,
8856 isl_basic_map_offset(bmap
, type
) - 1 + pos
, val
);
8859 /* If "bmap" obviously lies on a hyperplane where the given dimension
8860 * has a fixed value, then return that value.
8861 * Otherwise return NaN.
8863 __isl_give isl_val
*isl_basic_map_plain_get_val_if_fixed(
8864 __isl_keep isl_basic_map
*bmap
,
8865 enum isl_dim_type type
, unsigned pos
)
8873 ctx
= isl_basic_map_get_ctx(bmap
);
8874 v
= isl_val_alloc(ctx
);
8877 fixed
= isl_basic_map_plain_is_fixed(bmap
, type
, pos
, &v
->n
);
8879 return isl_val_free(v
);
8881 isl_int_set_si(v
->d
, 1);
8885 return isl_val_nan(ctx
);
8888 isl_bool
isl_map_plain_is_fixed(__isl_keep isl_map
*map
,
8889 enum isl_dim_type type
, unsigned pos
, isl_int
*val
)
8891 if (pos
>= isl_map_dim(map
, type
))
8892 isl_die(isl_map_get_ctx(map
), isl_error_invalid
,
8893 "position out of bounds", return isl_bool_error
);
8894 return isl_map_plain_has_fixed_var(map
,
8895 map_offset(map
, type
) - 1 + pos
, val
);
8898 /* If "map" obviously lies on a hyperplane where the given dimension
8899 * has a fixed value, then return that value.
8900 * Otherwise return NaN.
8902 __isl_give isl_val
*isl_map_plain_get_val_if_fixed(__isl_keep isl_map
*map
,
8903 enum isl_dim_type type
, unsigned pos
)
8911 ctx
= isl_map_get_ctx(map
);
8912 v
= isl_val_alloc(ctx
);
8915 fixed
= isl_map_plain_is_fixed(map
, type
, pos
, &v
->n
);
8917 return isl_val_free(v
);
8919 isl_int_set_si(v
->d
, 1);
8923 return isl_val_nan(ctx
);
8926 /* If "set" obviously lies on a hyperplane where the given dimension
8927 * has a fixed value, then return that value.
8928 * Otherwise return NaN.
8930 __isl_give isl_val
*isl_set_plain_get_val_if_fixed(__isl_keep isl_set
*set
,
8931 enum isl_dim_type type
, unsigned pos
)
8933 return isl_map_plain_get_val_if_fixed(set
, type
, pos
);
8936 isl_bool
isl_set_plain_is_fixed(__isl_keep isl_set
*set
,
8937 enum isl_dim_type type
, unsigned pos
, isl_int
*val
)
8939 return isl_map_plain_is_fixed(set
, type
, pos
, val
);
8942 /* Check if dimension dim has fixed value and if so and if val is not NULL,
8943 * then return this fixed value in *val.
8945 isl_bool
isl_basic_set_plain_dim_is_fixed(__isl_keep isl_basic_set
*bset
,
8946 unsigned dim
, isl_int
*val
)
8948 return isl_basic_set_plain_has_fixed_var(bset
,
8949 isl_basic_set_n_param(bset
) + dim
, val
);
8952 /* Return -1 if the constraint "c1" should be sorted before "c2"
8953 * and 1 if it should be sorted after "c2".
8954 * Return 0 if the two constraints are the same (up to the constant term).
8956 * In particular, if a constraint involves later variables than another
8957 * then it is sorted after this other constraint.
8958 * uset_gist depends on constraints without existentially quantified
8959 * variables sorting first.
8961 * For constraints that have the same latest variable, those
8962 * with the same coefficient for this latest variable (first in absolute value
8963 * and then in actual value) are grouped together.
8964 * This is useful for detecting pairs of constraints that can
8965 * be chained in their printed representation.
8967 * Finally, within a group, constraints are sorted according to
8968 * their coefficients (excluding the constant term).
8970 static int sort_constraint_cmp(const void *p1
, const void *p2
, void *arg
)
8972 isl_int
**c1
= (isl_int
**) p1
;
8973 isl_int
**c2
= (isl_int
**) p2
;
8975 unsigned size
= *(unsigned *) arg
;
8978 l1
= isl_seq_last_non_zero(*c1
+ 1, size
);
8979 l2
= isl_seq_last_non_zero(*c2
+ 1, size
);
8984 cmp
= isl_int_abs_cmp((*c1
)[1 + l1
], (*c2
)[1 + l1
]);
8987 cmp
= isl_int_cmp((*c1
)[1 + l1
], (*c2
)[1 + l1
]);
8991 return isl_seq_cmp(*c1
+ 1, *c2
+ 1, size
);
8994 /* Return -1 if the constraint "c1" of "bmap" is sorted before "c2"
8995 * by isl_basic_map_sort_constraints, 1 if it is sorted after "c2"
8996 * and 0 if the two constraints are the same (up to the constant term).
8998 int isl_basic_map_constraint_cmp(__isl_keep isl_basic_map
*bmap
,
8999 isl_int
*c1
, isl_int
*c2
)
9005 total
= isl_basic_map_total_dim(bmap
);
9006 return sort_constraint_cmp(&c1
, &c2
, &total
);
9009 __isl_give isl_basic_map
*isl_basic_map_sort_constraints(
9010 __isl_take isl_basic_map
*bmap
)
9016 if (bmap
->n_ineq
== 0)
9018 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_NORMALIZED
))
9020 total
= isl_basic_map_total_dim(bmap
);
9021 if (isl_sort(bmap
->ineq
, bmap
->n_ineq
, sizeof(isl_int
*),
9022 &sort_constraint_cmp
, &total
) < 0)
9023 return isl_basic_map_free(bmap
);
9027 __isl_give isl_basic_set
*isl_basic_set_sort_constraints(
9028 __isl_take isl_basic_set
*bset
)
9030 isl_basic_map
*bmap
= bset_to_bmap(bset
);
9031 return bset_from_bmap(isl_basic_map_sort_constraints(bmap
));
9034 struct isl_basic_map
*isl_basic_map_normalize(struct isl_basic_map
*bmap
)
9038 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_NORMALIZED
))
9040 bmap
= isl_basic_map_remove_redundancies(bmap
);
9041 bmap
= isl_basic_map_sort_constraints(bmap
);
9043 ISL_F_SET(bmap
, ISL_BASIC_MAP_NORMALIZED
);
9046 int isl_basic_map_plain_cmp(__isl_keep isl_basic_map
*bmap1
,
9047 __isl_keep isl_basic_map
*bmap2
)
9052 if (!bmap1
|| !bmap2
)
9057 if (ISL_F_ISSET(bmap1
, ISL_BASIC_MAP_RATIONAL
) !=
9058 ISL_F_ISSET(bmap2
, ISL_BASIC_MAP_RATIONAL
))
9059 return ISL_F_ISSET(bmap1
, ISL_BASIC_MAP_RATIONAL
) ? -1 : 1;
9060 if (isl_basic_map_n_param(bmap1
) != isl_basic_map_n_param(bmap2
))
9061 return isl_basic_map_n_param(bmap1
) - isl_basic_map_n_param(bmap2
);
9062 if (isl_basic_map_n_in(bmap1
) != isl_basic_map_n_in(bmap2
))
9063 return isl_basic_map_n_out(bmap1
) - isl_basic_map_n_out(bmap2
);
9064 if (isl_basic_map_n_out(bmap1
) != isl_basic_map_n_out(bmap2
))
9065 return isl_basic_map_n_out(bmap1
) - isl_basic_map_n_out(bmap2
);
9066 if (ISL_F_ISSET(bmap1
, ISL_BASIC_MAP_EMPTY
) &&
9067 ISL_F_ISSET(bmap2
, ISL_BASIC_MAP_EMPTY
))
9069 if (ISL_F_ISSET(bmap1
, ISL_BASIC_MAP_EMPTY
))
9071 if (ISL_F_ISSET(bmap2
, ISL_BASIC_MAP_EMPTY
))
9073 if (bmap1
->n_eq
!= bmap2
->n_eq
)
9074 return bmap1
->n_eq
- bmap2
->n_eq
;
9075 if (bmap1
->n_ineq
!= bmap2
->n_ineq
)
9076 return bmap1
->n_ineq
- bmap2
->n_ineq
;
9077 if (bmap1
->n_div
!= bmap2
->n_div
)
9078 return bmap1
->n_div
- bmap2
->n_div
;
9079 total
= isl_basic_map_total_dim(bmap1
);
9080 for (i
= 0; i
< bmap1
->n_eq
; ++i
) {
9081 cmp
= isl_seq_cmp(bmap1
->eq
[i
], bmap2
->eq
[i
], 1+total
);
9085 for (i
= 0; i
< bmap1
->n_ineq
; ++i
) {
9086 cmp
= isl_seq_cmp(bmap1
->ineq
[i
], bmap2
->ineq
[i
], 1+total
);
9090 for (i
= 0; i
< bmap1
->n_div
; ++i
) {
9091 cmp
= isl_seq_cmp(bmap1
->div
[i
], bmap2
->div
[i
], 1+1+total
);
9098 int isl_basic_set_plain_cmp(__isl_keep isl_basic_set
*bset1
,
9099 __isl_keep isl_basic_set
*bset2
)
9101 return isl_basic_map_plain_cmp(bset1
, bset2
);
9104 int isl_set_plain_cmp(__isl_keep isl_set
*set1
, __isl_keep isl_set
*set2
)
9110 if (set1
->n
!= set2
->n
)
9111 return set1
->n
- set2
->n
;
9113 for (i
= 0; i
< set1
->n
; ++i
) {
9114 cmp
= isl_basic_set_plain_cmp(set1
->p
[i
], set2
->p
[i
]);
9122 isl_bool
isl_basic_map_plain_is_equal(__isl_keep isl_basic_map
*bmap1
,
9123 __isl_keep isl_basic_map
*bmap2
)
9125 if (!bmap1
|| !bmap2
)
9126 return isl_bool_error
;
9127 return isl_basic_map_plain_cmp(bmap1
, bmap2
) == 0;
9130 isl_bool
isl_basic_set_plain_is_equal(__isl_keep isl_basic_set
*bset1
,
9131 __isl_keep isl_basic_set
*bset2
)
9133 return isl_basic_map_plain_is_equal(bset_to_bmap(bset1
),
9134 bset_to_bmap(bset2
));
9137 static int qsort_bmap_cmp(const void *p1
, const void *p2
)
9139 isl_basic_map
*bmap1
= *(isl_basic_map
**) p1
;
9140 isl_basic_map
*bmap2
= *(isl_basic_map
**) p2
;
9142 return isl_basic_map_plain_cmp(bmap1
, bmap2
);
9145 /* Sort the basic maps of "map" and remove duplicate basic maps.
9147 * While removing basic maps, we make sure that the basic maps remain
9148 * sorted because isl_map_normalize expects the basic maps of the result
9151 static __isl_give isl_map
*sort_and_remove_duplicates(__isl_take isl_map
*map
)
9155 map
= isl_map_remove_empty_parts(map
);
9158 qsort(map
->p
, map
->n
, sizeof(struct isl_basic_map
*), qsort_bmap_cmp
);
9159 for (i
= map
->n
- 1; i
>= 1; --i
) {
9160 if (!isl_basic_map_plain_is_equal(map
->p
[i
- 1], map
->p
[i
]))
9162 isl_basic_map_free(map
->p
[i
-1]);
9163 for (j
= i
; j
< map
->n
; ++j
)
9164 map
->p
[j
- 1] = map
->p
[j
];
9171 /* Remove obvious duplicates among the basic maps of "map".
9173 * Unlike isl_map_normalize, this function does not remove redundant
9174 * constraints and only removes duplicates that have exactly the same
9175 * constraints in the input. It does sort the constraints and
9176 * the basic maps to ease the detection of duplicates.
9178 * If "map" has already been normalized or if the basic maps are
9179 * disjoint, then there can be no duplicates.
9181 __isl_give isl_map
*isl_map_remove_obvious_duplicates(__isl_take isl_map
*map
)
9184 isl_basic_map
*bmap
;
9190 if (ISL_F_ISSET(map
, ISL_MAP_NORMALIZED
| ISL_MAP_DISJOINT
))
9192 for (i
= 0; i
< map
->n
; ++i
) {
9193 bmap
= isl_basic_map_copy(map
->p
[i
]);
9194 bmap
= isl_basic_map_sort_constraints(bmap
);
9196 return isl_map_free(map
);
9197 isl_basic_map_free(map
->p
[i
]);
9201 map
= sort_and_remove_duplicates(map
);
9205 /* We normalize in place, but if anything goes wrong we need
9206 * to return NULL, so we need to make sure we don't change the
9207 * meaning of any possible other copies of map.
9209 __isl_give isl_map
*isl_map_normalize(__isl_take isl_map
*map
)
9212 struct isl_basic_map
*bmap
;
9216 if (ISL_F_ISSET(map
, ISL_MAP_NORMALIZED
))
9218 for (i
= 0; i
< map
->n
; ++i
) {
9219 bmap
= isl_basic_map_normalize(isl_basic_map_copy(map
->p
[i
]));
9222 isl_basic_map_free(map
->p
[i
]);
9226 map
= sort_and_remove_duplicates(map
);
9228 ISL_F_SET(map
, ISL_MAP_NORMALIZED
);
9235 struct isl_set
*isl_set_normalize(struct isl_set
*set
)
9237 return set_from_map(isl_map_normalize(set_to_map(set
)));
9240 isl_bool
isl_map_plain_is_equal(__isl_keep isl_map
*map1
,
9241 __isl_keep isl_map
*map2
)
9247 return isl_bool_error
;
9250 return isl_bool_true
;
9251 if (!isl_space_is_equal(map1
->dim
, map2
->dim
))
9252 return isl_bool_false
;
9254 map1
= isl_map_copy(map1
);
9255 map2
= isl_map_copy(map2
);
9256 map1
= isl_map_normalize(map1
);
9257 map2
= isl_map_normalize(map2
);
9260 equal
= map1
->n
== map2
->n
;
9261 for (i
= 0; equal
&& i
< map1
->n
; ++i
) {
9262 equal
= isl_basic_map_plain_is_equal(map1
->p
[i
], map2
->p
[i
]);
9272 return isl_bool_error
;
9275 isl_bool
isl_set_plain_is_equal(__isl_keep isl_set
*set1
,
9276 __isl_keep isl_set
*set2
)
9278 return isl_map_plain_is_equal(set_to_map(set1
), set_to_map(set2
));
9281 /* Return the basic maps in "map" as a list.
9283 __isl_give isl_basic_map_list
*isl_map_get_basic_map_list(
9284 __isl_keep isl_map
*map
)
9288 isl_basic_map_list
*list
;
9292 ctx
= isl_map_get_ctx(map
);
9293 list
= isl_basic_map_list_alloc(ctx
, map
->n
);
9295 for (i
= 0; i
< map
->n
; ++i
) {
9296 isl_basic_map
*bmap
;
9298 bmap
= isl_basic_map_copy(map
->p
[i
]);
9299 list
= isl_basic_map_list_add(list
, bmap
);
9305 /* Return the intersection of the elements in the non-empty list "list".
9306 * All elements are assumed to live in the same space.
9308 __isl_give isl_basic_map
*isl_basic_map_list_intersect(
9309 __isl_take isl_basic_map_list
*list
)
9312 isl_basic_map
*bmap
;
9316 n
= isl_basic_map_list_n_basic_map(list
);
9318 isl_die(isl_basic_map_list_get_ctx(list
), isl_error_invalid
,
9319 "expecting non-empty list", goto error
);
9321 bmap
= isl_basic_map_list_get_basic_map(list
, 0);
9322 for (i
= 1; i
< n
; ++i
) {
9323 isl_basic_map
*bmap_i
;
9325 bmap_i
= isl_basic_map_list_get_basic_map(list
, i
);
9326 bmap
= isl_basic_map_intersect(bmap
, bmap_i
);
9329 isl_basic_map_list_free(list
);
9332 isl_basic_map_list_free(list
);
9336 /* Return the intersection of the elements in the non-empty list "list".
9337 * All elements are assumed to live in the same space.
9339 __isl_give isl_basic_set
*isl_basic_set_list_intersect(
9340 __isl_take isl_basic_set_list
*list
)
9342 return isl_basic_map_list_intersect(list
);
9345 /* Return the union of the elements of "list".
9346 * The list is required to have at least one element.
9348 __isl_give isl_set
*isl_basic_set_list_union(
9349 __isl_take isl_basic_set_list
*list
)
9353 isl_basic_set
*bset
;
9358 n
= isl_basic_set_list_n_basic_set(list
);
9360 isl_die(isl_basic_set_list_get_ctx(list
), isl_error_invalid
,
9361 "expecting non-empty list", goto error
);
9363 bset
= isl_basic_set_list_get_basic_set(list
, 0);
9364 space
= isl_basic_set_get_space(bset
);
9365 isl_basic_set_free(bset
);
9367 set
= isl_set_alloc_space(space
, n
, 0);
9368 for (i
= 0; i
< n
; ++i
) {
9369 bset
= isl_basic_set_list_get_basic_set(list
, i
);
9370 set
= isl_set_add_basic_set(set
, bset
);
9373 isl_basic_set_list_free(list
);
9376 isl_basic_set_list_free(list
);
9380 /* Return the union of the elements in the non-empty list "list".
9381 * All elements are assumed to live in the same space.
9383 __isl_give isl_set
*isl_set_list_union(__isl_take isl_set_list
*list
)
9390 n
= isl_set_list_n_set(list
);
9392 isl_die(isl_set_list_get_ctx(list
), isl_error_invalid
,
9393 "expecting non-empty list", goto error
);
9395 set
= isl_set_list_get_set(list
, 0);
9396 for (i
= 1; i
< n
; ++i
) {
9399 set_i
= isl_set_list_get_set(list
, i
);
9400 set
= isl_set_union(set
, set_i
);
9403 isl_set_list_free(list
);
9406 isl_set_list_free(list
);
9410 struct isl_basic_map
*isl_basic_map_product(
9411 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
9413 isl_space
*dim_result
= NULL
;
9414 struct isl_basic_map
*bmap
;
9415 unsigned in1
, in2
, out1
, out2
, nparam
, total
, pos
;
9416 struct isl_dim_map
*dim_map1
, *dim_map2
;
9418 if (!bmap1
|| !bmap2
)
9421 isl_assert(bmap1
->ctx
, isl_space_match(bmap1
->dim
, isl_dim_param
,
9422 bmap2
->dim
, isl_dim_param
), goto error
);
9423 dim_result
= isl_space_product(isl_space_copy(bmap1
->dim
),
9424 isl_space_copy(bmap2
->dim
));
9426 in1
= isl_basic_map_n_in(bmap1
);
9427 in2
= isl_basic_map_n_in(bmap2
);
9428 out1
= isl_basic_map_n_out(bmap1
);
9429 out2
= isl_basic_map_n_out(bmap2
);
9430 nparam
= isl_basic_map_n_param(bmap1
);
9432 total
= nparam
+ in1
+ in2
+ out1
+ out2
+ bmap1
->n_div
+ bmap2
->n_div
;
9433 dim_map1
= isl_dim_map_alloc(bmap1
->ctx
, total
);
9434 dim_map2
= isl_dim_map_alloc(bmap1
->ctx
, total
);
9435 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_param
, pos
= 0);
9436 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_param
, pos
= 0);
9437 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_in
, pos
+= nparam
);
9438 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_in
, pos
+= in1
);
9439 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_out
, pos
+= in2
);
9440 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_out
, pos
+= out1
);
9441 isl_dim_map_div(dim_map1
, bmap1
, pos
+= out2
);
9442 isl_dim_map_div(dim_map2
, bmap2
, pos
+= bmap1
->n_div
);
9444 bmap
= isl_basic_map_alloc_space(dim_result
,
9445 bmap1
->n_div
+ bmap2
->n_div
,
9446 bmap1
->n_eq
+ bmap2
->n_eq
,
9447 bmap1
->n_ineq
+ bmap2
->n_ineq
);
9448 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap1
, dim_map1
);
9449 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap2
, dim_map2
);
9450 bmap
= isl_basic_map_simplify(bmap
);
9451 return isl_basic_map_finalize(bmap
);
9453 isl_basic_map_free(bmap1
);
9454 isl_basic_map_free(bmap2
);
9458 __isl_give isl_basic_map
*isl_basic_map_flat_product(
9459 __isl_take isl_basic_map
*bmap1
, __isl_take isl_basic_map
*bmap2
)
9461 isl_basic_map
*prod
;
9463 prod
= isl_basic_map_product(bmap1
, bmap2
);
9464 prod
= isl_basic_map_flatten(prod
);
9468 __isl_give isl_basic_set
*isl_basic_set_flat_product(
9469 __isl_take isl_basic_set
*bset1
, __isl_take isl_basic_set
*bset2
)
9471 return isl_basic_map_flat_range_product(bset1
, bset2
);
9474 __isl_give isl_basic_map
*isl_basic_map_domain_product(
9475 __isl_take isl_basic_map
*bmap1
, __isl_take isl_basic_map
*bmap2
)
9477 isl_space
*space_result
= NULL
;
9478 isl_basic_map
*bmap
;
9479 unsigned in1
, in2
, out
, nparam
, total
, pos
;
9480 struct isl_dim_map
*dim_map1
, *dim_map2
;
9482 if (!bmap1
|| !bmap2
)
9485 space_result
= isl_space_domain_product(isl_space_copy(bmap1
->dim
),
9486 isl_space_copy(bmap2
->dim
));
9488 in1
= isl_basic_map_dim(bmap1
, isl_dim_in
);
9489 in2
= isl_basic_map_dim(bmap2
, isl_dim_in
);
9490 out
= isl_basic_map_dim(bmap1
, isl_dim_out
);
9491 nparam
= isl_basic_map_dim(bmap1
, isl_dim_param
);
9493 total
= nparam
+ in1
+ in2
+ out
+ bmap1
->n_div
+ bmap2
->n_div
;
9494 dim_map1
= isl_dim_map_alloc(bmap1
->ctx
, total
);
9495 dim_map2
= isl_dim_map_alloc(bmap1
->ctx
, total
);
9496 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_param
, pos
= 0);
9497 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_param
, pos
= 0);
9498 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_in
, pos
+= nparam
);
9499 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_in
, pos
+= in1
);
9500 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_out
, pos
+= in2
);
9501 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_out
, pos
);
9502 isl_dim_map_div(dim_map1
, bmap1
, pos
+= out
);
9503 isl_dim_map_div(dim_map2
, bmap2
, pos
+= bmap1
->n_div
);
9505 bmap
= isl_basic_map_alloc_space(space_result
,
9506 bmap1
->n_div
+ bmap2
->n_div
,
9507 bmap1
->n_eq
+ bmap2
->n_eq
,
9508 bmap1
->n_ineq
+ bmap2
->n_ineq
);
9509 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap1
, dim_map1
);
9510 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap2
, dim_map2
);
9511 bmap
= isl_basic_map_simplify(bmap
);
9512 return isl_basic_map_finalize(bmap
);
9514 isl_basic_map_free(bmap1
);
9515 isl_basic_map_free(bmap2
);
9519 __isl_give isl_basic_map
*isl_basic_map_range_product(
9520 __isl_take isl_basic_map
*bmap1
, __isl_take isl_basic_map
*bmap2
)
9523 isl_space
*dim_result
= NULL
;
9524 isl_basic_map
*bmap
;
9525 unsigned in
, out1
, out2
, nparam
, total
, pos
;
9526 struct isl_dim_map
*dim_map1
, *dim_map2
;
9528 rational
= isl_basic_map_is_rational(bmap1
);
9529 if (rational
>= 0 && rational
)
9530 rational
= isl_basic_map_is_rational(bmap2
);
9531 if (!bmap1
|| !bmap2
|| rational
< 0)
9534 if (!isl_space_match(bmap1
->dim
, isl_dim_param
,
9535 bmap2
->dim
, isl_dim_param
))
9536 isl_die(isl_basic_map_get_ctx(bmap1
), isl_error_invalid
,
9537 "parameters don't match", goto error
);
9539 dim_result
= isl_space_range_product(isl_space_copy(bmap1
->dim
),
9540 isl_space_copy(bmap2
->dim
));
9542 in
= isl_basic_map_dim(bmap1
, isl_dim_in
);
9543 out1
= isl_basic_map_n_out(bmap1
);
9544 out2
= isl_basic_map_n_out(bmap2
);
9545 nparam
= isl_basic_map_n_param(bmap1
);
9547 total
= nparam
+ in
+ out1
+ out2
+ bmap1
->n_div
+ bmap2
->n_div
;
9548 dim_map1
= isl_dim_map_alloc(bmap1
->ctx
, total
);
9549 dim_map2
= isl_dim_map_alloc(bmap1
->ctx
, total
);
9550 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_param
, pos
= 0);
9551 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_param
, pos
= 0);
9552 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_in
, pos
+= nparam
);
9553 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_in
, pos
);
9554 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_out
, pos
+= in
);
9555 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_out
, pos
+= out1
);
9556 isl_dim_map_div(dim_map1
, bmap1
, pos
+= out2
);
9557 isl_dim_map_div(dim_map2
, bmap2
, pos
+= bmap1
->n_div
);
9559 bmap
= isl_basic_map_alloc_space(dim_result
,
9560 bmap1
->n_div
+ bmap2
->n_div
,
9561 bmap1
->n_eq
+ bmap2
->n_eq
,
9562 bmap1
->n_ineq
+ bmap2
->n_ineq
);
9563 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap1
, dim_map1
);
9564 bmap
= isl_basic_map_add_constraints_dim_map(bmap
, bmap2
, dim_map2
);
9566 bmap
= isl_basic_map_set_rational(bmap
);
9567 bmap
= isl_basic_map_simplify(bmap
);
9568 return isl_basic_map_finalize(bmap
);
9570 isl_basic_map_free(bmap1
);
9571 isl_basic_map_free(bmap2
);
9575 __isl_give isl_basic_map
*isl_basic_map_flat_range_product(
9576 __isl_take isl_basic_map
*bmap1
, __isl_take isl_basic_map
*bmap2
)
9578 isl_basic_map
*prod
;
9580 prod
= isl_basic_map_range_product(bmap1
, bmap2
);
9581 prod
= isl_basic_map_flatten_range(prod
);
9585 /* Apply "basic_map_product" to each pair of basic maps in "map1" and "map2"
9586 * and collect the results.
9587 * The result live in the space obtained by calling "space_product"
9588 * on the spaces of "map1" and "map2".
9589 * If "remove_duplicates" is set then the result may contain duplicates
9590 * (even if the inputs do not) and so we try and remove the obvious
9593 static __isl_give isl_map
*map_product(__isl_take isl_map
*map1
,
9594 __isl_take isl_map
*map2
,
9595 __isl_give isl_space
*(*space_product
)(__isl_take isl_space
*left
,
9596 __isl_take isl_space
*right
),
9597 __isl_give isl_basic_map
*(*basic_map_product
)(
9598 __isl_take isl_basic_map
*left
,
9599 __isl_take isl_basic_map
*right
),
9600 int remove_duplicates
)
9603 struct isl_map
*result
;
9609 isl_assert(map1
->ctx
, isl_space_match(map1
->dim
, isl_dim_param
,
9610 map2
->dim
, isl_dim_param
), goto error
);
9612 if (ISL_F_ISSET(map1
, ISL_MAP_DISJOINT
) &&
9613 ISL_F_ISSET(map2
, ISL_MAP_DISJOINT
))
9614 ISL_FL_SET(flags
, ISL_MAP_DISJOINT
);
9616 result
= isl_map_alloc_space(space_product(isl_space_copy(map1
->dim
),
9617 isl_space_copy(map2
->dim
)),
9618 map1
->n
* map2
->n
, flags
);
9621 for (i
= 0; i
< map1
->n
; ++i
)
9622 for (j
= 0; j
< map2
->n
; ++j
) {
9623 struct isl_basic_map
*part
;
9624 part
= basic_map_product(isl_basic_map_copy(map1
->p
[i
]),
9625 isl_basic_map_copy(map2
->p
[j
]));
9626 if (isl_basic_map_is_empty(part
))
9627 isl_basic_map_free(part
);
9629 result
= isl_map_add_basic_map(result
, part
);
9633 if (remove_duplicates
)
9634 result
= isl_map_remove_obvious_duplicates(result
);
9644 /* Given two maps A -> B and C -> D, construct a map [A -> C] -> [B -> D]
9646 static __isl_give isl_map
*map_product_aligned(__isl_take isl_map
*map1
,
9647 __isl_take isl_map
*map2
)
9649 return map_product(map1
, map2
, &isl_space_product
,
9650 &isl_basic_map_product
, 0);
9653 __isl_give isl_map
*isl_map_product(__isl_take isl_map
*map1
,
9654 __isl_take isl_map
*map2
)
9656 return isl_map_align_params_map_map_and(map1
, map2
, &map_product_aligned
);
9659 /* Given two maps A -> B and C -> D, construct a map (A, C) -> (B, D)
9661 __isl_give isl_map
*isl_map_flat_product(__isl_take isl_map
*map1
,
9662 __isl_take isl_map
*map2
)
9666 prod
= isl_map_product(map1
, map2
);
9667 prod
= isl_map_flatten(prod
);
9671 /* Given two set A and B, construct its Cartesian product A x B.
9673 struct isl_set
*isl_set_product(struct isl_set
*set1
, struct isl_set
*set2
)
9675 return isl_map_range_product(set1
, set2
);
9678 __isl_give isl_set
*isl_set_flat_product(__isl_take isl_set
*set1
,
9679 __isl_take isl_set
*set2
)
9681 return isl_map_flat_range_product(set1
, set2
);
9684 /* Given two maps A -> B and C -> D, construct a map [A -> C] -> (B * D)
9686 static __isl_give isl_map
*map_domain_product_aligned(__isl_take isl_map
*map1
,
9687 __isl_take isl_map
*map2
)
9689 return map_product(map1
, map2
, &isl_space_domain_product
,
9690 &isl_basic_map_domain_product
, 1);
9693 /* Given two maps A -> B and C -> D, construct a map (A * C) -> [B -> D]
9695 static __isl_give isl_map
*map_range_product_aligned(__isl_take isl_map
*map1
,
9696 __isl_take isl_map
*map2
)
9698 return map_product(map1
, map2
, &isl_space_range_product
,
9699 &isl_basic_map_range_product
, 1);
9702 __isl_give isl_map
*isl_map_domain_product(__isl_take isl_map
*map1
,
9703 __isl_take isl_map
*map2
)
9705 return isl_map_align_params_map_map_and(map1
, map2
,
9706 &map_domain_product_aligned
);
9709 __isl_give isl_map
*isl_map_range_product(__isl_take isl_map
*map1
,
9710 __isl_take isl_map
*map2
)
9712 return isl_map_align_params_map_map_and(map1
, map2
,
9713 &map_range_product_aligned
);
9716 /* Given a map of the form [A -> B] -> [C -> D], return the map A -> C.
9718 __isl_give isl_map
*isl_map_factor_domain(__isl_take isl_map
*map
)
9721 int total1
, keep1
, total2
, keep2
;
9725 if (!isl_space_domain_is_wrapping(map
->dim
) ||
9726 !isl_space_range_is_wrapping(map
->dim
))
9727 isl_die(isl_map_get_ctx(map
), isl_error_invalid
,
9728 "not a product", return isl_map_free(map
));
9730 space
= isl_map_get_space(map
);
9731 total1
= isl_space_dim(space
, isl_dim_in
);
9732 total2
= isl_space_dim(space
, isl_dim_out
);
9733 space
= isl_space_factor_domain(space
);
9734 keep1
= isl_space_dim(space
, isl_dim_in
);
9735 keep2
= isl_space_dim(space
, isl_dim_out
);
9736 map
= isl_map_project_out(map
, isl_dim_in
, keep1
, total1
- keep1
);
9737 map
= isl_map_project_out(map
, isl_dim_out
, keep2
, total2
- keep2
);
9738 map
= isl_map_reset_space(map
, space
);
9743 /* Given a map of the form [A -> B] -> [C -> D], return the map B -> D.
9745 __isl_give isl_map
*isl_map_factor_range(__isl_take isl_map
*map
)
9748 int total1
, keep1
, total2
, keep2
;
9752 if (!isl_space_domain_is_wrapping(map
->dim
) ||
9753 !isl_space_range_is_wrapping(map
->dim
))
9754 isl_die(isl_map_get_ctx(map
), isl_error_invalid
,
9755 "not a product", return isl_map_free(map
));
9757 space
= isl_map_get_space(map
);
9758 total1
= isl_space_dim(space
, isl_dim_in
);
9759 total2
= isl_space_dim(space
, isl_dim_out
);
9760 space
= isl_space_factor_range(space
);
9761 keep1
= isl_space_dim(space
, isl_dim_in
);
9762 keep2
= isl_space_dim(space
, isl_dim_out
);
9763 map
= isl_map_project_out(map
, isl_dim_in
, 0, total1
- keep1
);
9764 map
= isl_map_project_out(map
, isl_dim_out
, 0, total2
- keep2
);
9765 map
= isl_map_reset_space(map
, space
);
9770 /* Given a map of the form [A -> B] -> C, return the map A -> C.
9772 __isl_give isl_map
*isl_map_domain_factor_domain(__isl_take isl_map
*map
)
9779 if (!isl_space_domain_is_wrapping(map
->dim
))
9780 isl_die(isl_map_get_ctx(map
), isl_error_invalid
,
9781 "domain is not a product", return isl_map_free(map
));
9783 space
= isl_map_get_space(map
);
9784 total
= isl_space_dim(space
, isl_dim_in
);
9785 space
= isl_space_domain_factor_domain(space
);
9786 keep
= isl_space_dim(space
, isl_dim_in
);
9787 map
= isl_map_project_out(map
, isl_dim_in
, keep
, total
- keep
);
9788 map
= isl_map_reset_space(map
, space
);
9793 /* Given a map of the form [A -> B] -> C, return the map B -> C.
9795 __isl_give isl_map
*isl_map_domain_factor_range(__isl_take isl_map
*map
)
9802 if (!isl_space_domain_is_wrapping(map
->dim
))
9803 isl_die(isl_map_get_ctx(map
), isl_error_invalid
,
9804 "domain is not a product", return isl_map_free(map
));
9806 space
= isl_map_get_space(map
);
9807 total
= isl_space_dim(space
, isl_dim_in
);
9808 space
= isl_space_domain_factor_range(space
);
9809 keep
= isl_space_dim(space
, isl_dim_in
);
9810 map
= isl_map_project_out(map
, isl_dim_in
, 0, total
- keep
);
9811 map
= isl_map_reset_space(map
, space
);
9816 /* Given a map A -> [B -> C], extract the map A -> B.
9818 __isl_give isl_map
*isl_map_range_factor_domain(__isl_take isl_map
*map
)
9825 if (!isl_space_range_is_wrapping(map
->dim
))
9826 isl_die(isl_map_get_ctx(map
), isl_error_invalid
,
9827 "range is not a product", return isl_map_free(map
));
9829 space
= isl_map_get_space(map
);
9830 total
= isl_space_dim(space
, isl_dim_out
);
9831 space
= isl_space_range_factor_domain(space
);
9832 keep
= isl_space_dim(space
, isl_dim_out
);
9833 map
= isl_map_project_out(map
, isl_dim_out
, keep
, total
- keep
);
9834 map
= isl_map_reset_space(map
, space
);
9839 /* Given a map A -> [B -> C], extract the map A -> C.
9841 __isl_give isl_map
*isl_map_range_factor_range(__isl_take isl_map
*map
)
9848 if (!isl_space_range_is_wrapping(map
->dim
))
9849 isl_die(isl_map_get_ctx(map
), isl_error_invalid
,
9850 "range is not a product", return isl_map_free(map
));
9852 space
= isl_map_get_space(map
);
9853 total
= isl_space_dim(space
, isl_dim_out
);
9854 space
= isl_space_range_factor_range(space
);
9855 keep
= isl_space_dim(space
, isl_dim_out
);
9856 map
= isl_map_project_out(map
, isl_dim_out
, 0, total
- keep
);
9857 map
= isl_map_reset_space(map
, space
);
9862 /* Given two maps A -> B and C -> D, construct a map (A, C) -> (B * D)
9864 __isl_give isl_map
*isl_map_flat_domain_product(__isl_take isl_map
*map1
,
9865 __isl_take isl_map
*map2
)
9869 prod
= isl_map_domain_product(map1
, map2
);
9870 prod
= isl_map_flatten_domain(prod
);
9874 /* Given two maps A -> B and C -> D, construct a map (A * C) -> (B, D)
9876 __isl_give isl_map
*isl_map_flat_range_product(__isl_take isl_map
*map1
,
9877 __isl_take isl_map
*map2
)
9881 prod
= isl_map_range_product(map1
, map2
);
9882 prod
= isl_map_flatten_range(prod
);
9886 uint32_t isl_basic_map_get_hash(__isl_keep isl_basic_map
*bmap
)
9889 uint32_t hash
= isl_hash_init();
9894 bmap
= isl_basic_map_copy(bmap
);
9895 bmap
= isl_basic_map_normalize(bmap
);
9898 total
= isl_basic_map_total_dim(bmap
);
9899 isl_hash_byte(hash
, bmap
->n_eq
& 0xFF);
9900 for (i
= 0; i
< bmap
->n_eq
; ++i
) {
9902 c_hash
= isl_seq_get_hash(bmap
->eq
[i
], 1 + total
);
9903 isl_hash_hash(hash
, c_hash
);
9905 isl_hash_byte(hash
, bmap
->n_ineq
& 0xFF);
9906 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
9908 c_hash
= isl_seq_get_hash(bmap
->ineq
[i
], 1 + total
);
9909 isl_hash_hash(hash
, c_hash
);
9911 isl_hash_byte(hash
, bmap
->n_div
& 0xFF);
9912 for (i
= 0; i
< bmap
->n_div
; ++i
) {
9914 if (isl_int_is_zero(bmap
->div
[i
][0]))
9916 isl_hash_byte(hash
, i
& 0xFF);
9917 c_hash
= isl_seq_get_hash(bmap
->div
[i
], 1 + 1 + total
);
9918 isl_hash_hash(hash
, c_hash
);
9920 isl_basic_map_free(bmap
);
9924 uint32_t isl_basic_set_get_hash(__isl_keep isl_basic_set
*bset
)
9926 return isl_basic_map_get_hash(bset_to_bmap(bset
));
9929 uint32_t isl_map_get_hash(__isl_keep isl_map
*map
)
9936 map
= isl_map_copy(map
);
9937 map
= isl_map_normalize(map
);
9941 hash
= isl_hash_init();
9942 for (i
= 0; i
< map
->n
; ++i
) {
9944 bmap_hash
= isl_basic_map_get_hash(map
->p
[i
]);
9945 isl_hash_hash(hash
, bmap_hash
);
9953 uint32_t isl_set_get_hash(__isl_keep isl_set
*set
)
9955 return isl_map_get_hash(set_to_map(set
));
9958 /* Check if the value for dimension dim is completely determined
9959 * by the values of the other parameters and variables.
9960 * That is, check if dimension dim is involved in an equality.
9962 int isl_basic_set_dim_is_unique(struct isl_basic_set
*bset
, unsigned dim
)
9969 nparam
= isl_basic_set_n_param(bset
);
9970 for (i
= 0; i
< bset
->n_eq
; ++i
)
9971 if (!isl_int_is_zero(bset
->eq
[i
][1 + nparam
+ dim
]))
9976 /* Check if the value for dimension dim is completely determined
9977 * by the values of the other parameters and variables.
9978 * That is, check if dimension dim is involved in an equality
9979 * for each of the subsets.
9981 int isl_set_dim_is_unique(struct isl_set
*set
, unsigned dim
)
9987 for (i
= 0; i
< set
->n
; ++i
) {
9989 unique
= isl_basic_set_dim_is_unique(set
->p
[i
], dim
);
9996 /* Return the number of basic maps in the (current) representation of "map".
9998 int isl_map_n_basic_map(__isl_keep isl_map
*map
)
10000 return map
? map
->n
: 0;
10003 int isl_set_n_basic_set(__isl_keep isl_set
*set
)
10005 return set
? set
->n
: 0;
10008 isl_stat
isl_map_foreach_basic_map(__isl_keep isl_map
*map
,
10009 isl_stat (*fn
)(__isl_take isl_basic_map
*bmap
, void *user
), void *user
)
10014 return isl_stat_error
;
10016 for (i
= 0; i
< map
->n
; ++i
)
10017 if (fn(isl_basic_map_copy(map
->p
[i
]), user
) < 0)
10018 return isl_stat_error
;
10020 return isl_stat_ok
;
10023 isl_stat
isl_set_foreach_basic_set(__isl_keep isl_set
*set
,
10024 isl_stat (*fn
)(__isl_take isl_basic_set
*bset
, void *user
), void *user
)
10029 return isl_stat_error
;
10031 for (i
= 0; i
< set
->n
; ++i
)
10032 if (fn(isl_basic_set_copy(set
->p
[i
]), user
) < 0)
10033 return isl_stat_error
;
10035 return isl_stat_ok
;
10038 /* Return a list of basic sets, the union of which is equal to "set".
10040 __isl_give isl_basic_set_list
*isl_set_get_basic_set_list(
10041 __isl_keep isl_set
*set
)
10044 isl_basic_set_list
*list
;
10049 list
= isl_basic_set_list_alloc(isl_set_get_ctx(set
), set
->n
);
10050 for (i
= 0; i
< set
->n
; ++i
) {
10051 isl_basic_set
*bset
;
10053 bset
= isl_basic_set_copy(set
->p
[i
]);
10054 list
= isl_basic_set_list_add(list
, bset
);
10060 __isl_give isl_basic_set
*isl_basic_set_lift(__isl_take isl_basic_set
*bset
)
10067 bset
= isl_basic_set_cow(bset
);
10071 dim
= isl_basic_set_get_space(bset
);
10072 dim
= isl_space_lift(dim
, bset
->n_div
);
10075 isl_space_free(bset
->dim
);
10077 bset
->extra
-= bset
->n_div
;
10080 bset
= isl_basic_set_finalize(bset
);
10084 isl_basic_set_free(bset
);
10088 __isl_give isl_set
*isl_set_lift(__isl_take isl_set
*set
)
10094 set
= isl_set_align_divs(set
);
10099 set
= isl_set_cow(set
);
10103 n_div
= set
->p
[0]->n_div
;
10104 dim
= isl_set_get_space(set
);
10105 dim
= isl_space_lift(dim
, n_div
);
10108 isl_space_free(set
->dim
);
10111 for (i
= 0; i
< set
->n
; ++i
) {
10112 set
->p
[i
] = isl_basic_set_lift(set
->p
[i
]);
10123 int isl_basic_set_size(__isl_keep isl_basic_set
*bset
)
10131 dim
= isl_basic_set_total_dim(bset
);
10132 size
+= bset
->n_eq
* (1 + dim
);
10133 size
+= bset
->n_ineq
* (1 + dim
);
10134 size
+= bset
->n_div
* (2 + dim
);
10139 int isl_set_size(__isl_keep isl_set
*set
)
10147 for (i
= 0; i
< set
->n
; ++i
)
10148 size
+= isl_basic_set_size(set
->p
[i
]);
10153 /* Check if there is any lower bound (if lower == 0) and/or upper
10154 * bound (if upper == 0) on the specified dim.
10156 static isl_bool
basic_map_dim_is_bounded(__isl_keep isl_basic_map
*bmap
,
10157 enum isl_dim_type type
, unsigned pos
, int lower
, int upper
)
10161 if (isl_basic_map_check_range(bmap
, type
, pos
, 1) < 0)
10162 return isl_bool_error
;
10164 pos
+= isl_basic_map_offset(bmap
, type
);
10166 for (i
= 0; i
< bmap
->n_div
; ++i
) {
10167 if (isl_int_is_zero(bmap
->div
[i
][0]))
10169 if (!isl_int_is_zero(bmap
->div
[i
][1 + pos
]))
10170 return isl_bool_true
;
10173 for (i
= 0; i
< bmap
->n_eq
; ++i
)
10174 if (!isl_int_is_zero(bmap
->eq
[i
][pos
]))
10175 return isl_bool_true
;
10177 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
10178 int sgn
= isl_int_sgn(bmap
->ineq
[i
][pos
]);
10185 return lower
&& upper
;
10188 isl_bool
isl_basic_map_dim_is_bounded(__isl_keep isl_basic_map
*bmap
,
10189 enum isl_dim_type type
, unsigned pos
)
10191 return basic_map_dim_is_bounded(bmap
, type
, pos
, 0, 0);
10194 isl_bool
isl_basic_map_dim_has_lower_bound(__isl_keep isl_basic_map
*bmap
,
10195 enum isl_dim_type type
, unsigned pos
)
10197 return basic_map_dim_is_bounded(bmap
, type
, pos
, 0, 1);
10200 isl_bool
isl_basic_map_dim_has_upper_bound(__isl_keep isl_basic_map
*bmap
,
10201 enum isl_dim_type type
, unsigned pos
)
10203 return basic_map_dim_is_bounded(bmap
, type
, pos
, 1, 0);
10206 isl_bool
isl_map_dim_is_bounded(__isl_keep isl_map
*map
,
10207 enum isl_dim_type type
, unsigned pos
)
10212 return isl_bool_error
;
10214 for (i
= 0; i
< map
->n
; ++i
) {
10216 bounded
= isl_basic_map_dim_is_bounded(map
->p
[i
], type
, pos
);
10217 if (bounded
< 0 || !bounded
)
10221 return isl_bool_true
;
10224 /* Return true if the specified dim is involved in both an upper bound
10225 * and a lower bound.
10227 isl_bool
isl_set_dim_is_bounded(__isl_keep isl_set
*set
,
10228 enum isl_dim_type type
, unsigned pos
)
10230 return isl_map_dim_is_bounded(set_to_map(set
), type
, pos
);
10233 /* Does "map" have a bound (according to "fn") for any of its basic maps?
10235 static isl_bool
has_any_bound(__isl_keep isl_map
*map
,
10236 enum isl_dim_type type
, unsigned pos
,
10237 isl_bool (*fn
)(__isl_keep isl_basic_map
*bmap
,
10238 enum isl_dim_type type
, unsigned pos
))
10243 return isl_bool_error
;
10245 for (i
= 0; i
< map
->n
; ++i
) {
10247 bounded
= fn(map
->p
[i
], type
, pos
);
10248 if (bounded
< 0 || bounded
)
10252 return isl_bool_false
;
10255 /* Return 1 if the specified dim is involved in any lower bound.
10257 isl_bool
isl_set_dim_has_any_lower_bound(__isl_keep isl_set
*set
,
10258 enum isl_dim_type type
, unsigned pos
)
10260 return has_any_bound(set
, type
, pos
,
10261 &isl_basic_map_dim_has_lower_bound
);
10264 /* Return 1 if the specified dim is involved in any upper bound.
10266 isl_bool
isl_set_dim_has_any_upper_bound(__isl_keep isl_set
*set
,
10267 enum isl_dim_type type
, unsigned pos
)
10269 return has_any_bound(set
, type
, pos
,
10270 &isl_basic_map_dim_has_upper_bound
);
10273 /* Does "map" have a bound (according to "fn") for all of its basic maps?
10275 static isl_bool
has_bound(__isl_keep isl_map
*map
,
10276 enum isl_dim_type type
, unsigned pos
,
10277 isl_bool (*fn
)(__isl_keep isl_basic_map
*bmap
,
10278 enum isl_dim_type type
, unsigned pos
))
10283 return isl_bool_error
;
10285 for (i
= 0; i
< map
->n
; ++i
) {
10287 bounded
= fn(map
->p
[i
], type
, pos
);
10288 if (bounded
< 0 || !bounded
)
10292 return isl_bool_true
;
10295 /* Return 1 if the specified dim has a lower bound (in each of its basic sets).
10297 isl_bool
isl_set_dim_has_lower_bound(__isl_keep isl_set
*set
,
10298 enum isl_dim_type type
, unsigned pos
)
10300 return has_bound(set
, type
, pos
, &isl_basic_map_dim_has_lower_bound
);
10303 /* Return 1 if the specified dim has an upper bound (in each of its basic sets).
10305 isl_bool
isl_set_dim_has_upper_bound(__isl_keep isl_set
*set
,
10306 enum isl_dim_type type
, unsigned pos
)
10308 return has_bound(set
, type
, pos
, &isl_basic_map_dim_has_upper_bound
);
10311 /* For each of the "n" variables starting at "first", determine
10312 * the sign of the variable and put the results in the first "n"
10313 * elements of the array "signs".
10315 * 1 means that the variable is non-negative
10316 * -1 means that the variable is non-positive
10317 * 0 means the variable attains both positive and negative values.
10319 isl_stat
isl_basic_set_vars_get_sign(__isl_keep isl_basic_set
*bset
,
10320 unsigned first
, unsigned n
, int *signs
)
10322 isl_vec
*bound
= NULL
;
10323 struct isl_tab
*tab
= NULL
;
10324 struct isl_tab_undo
*snap
;
10327 if (!bset
|| !signs
)
10328 return isl_stat_error
;
10330 bound
= isl_vec_alloc(bset
->ctx
, 1 + isl_basic_set_total_dim(bset
));
10331 tab
= isl_tab_from_basic_set(bset
, 0);
10332 if (!bound
|| !tab
)
10335 isl_seq_clr(bound
->el
, bound
->size
);
10336 isl_int_set_si(bound
->el
[0], -1);
10338 snap
= isl_tab_snap(tab
);
10339 for (i
= 0; i
< n
; ++i
) {
10342 isl_int_set_si(bound
->el
[1 + first
+ i
], -1);
10343 if (isl_tab_add_ineq(tab
, bound
->el
) < 0)
10345 empty
= tab
->empty
;
10346 isl_int_set_si(bound
->el
[1 + first
+ i
], 0);
10347 if (isl_tab_rollback(tab
, snap
) < 0)
10355 isl_int_set_si(bound
->el
[1 + first
+ i
], 1);
10356 if (isl_tab_add_ineq(tab
, bound
->el
) < 0)
10358 empty
= tab
->empty
;
10359 isl_int_set_si(bound
->el
[1 + first
+ i
], 0);
10360 if (isl_tab_rollback(tab
, snap
) < 0)
10363 signs
[i
] = empty
? -1 : 0;
10367 isl_vec_free(bound
);
10368 return isl_stat_ok
;
10371 isl_vec_free(bound
);
10372 return isl_stat_error
;
10375 isl_stat
isl_basic_set_dims_get_sign(__isl_keep isl_basic_set
*bset
,
10376 enum isl_dim_type type
, unsigned first
, unsigned n
, int *signs
)
10378 if (!bset
|| !signs
)
10379 return isl_stat_error
;
10380 isl_assert(bset
->ctx
, first
+ n
<= isl_basic_set_dim(bset
, type
),
10381 return isl_stat_error
);
10383 first
+= pos(bset
->dim
, type
) - 1;
10384 return isl_basic_set_vars_get_sign(bset
, first
, n
, signs
);
10387 /* Is it possible for the integer division "div" to depend (possibly
10388 * indirectly) on any output dimensions?
10390 * If the div is undefined, then we conservatively assume that it
10391 * may depend on them.
10392 * Otherwise, we check if it actually depends on them or on any integer
10393 * divisions that may depend on them.
10395 static isl_bool
div_may_involve_output(__isl_keep isl_basic_map
*bmap
, int div
)
10398 unsigned n_out
, o_out
;
10399 unsigned n_div
, o_div
;
10401 if (isl_int_is_zero(bmap
->div
[div
][0]))
10402 return isl_bool_true
;
10404 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
10405 o_out
= isl_basic_map_offset(bmap
, isl_dim_out
);
10407 if (isl_seq_first_non_zero(bmap
->div
[div
] + 1 + o_out
, n_out
) != -1)
10408 return isl_bool_true
;
10410 n_div
= isl_basic_map_dim(bmap
, isl_dim_div
);
10411 o_div
= isl_basic_map_offset(bmap
, isl_dim_div
);
10413 for (i
= 0; i
< n_div
; ++i
) {
10414 isl_bool may_involve
;
10416 if (isl_int_is_zero(bmap
->div
[div
][1 + o_div
+ i
]))
10418 may_involve
= div_may_involve_output(bmap
, i
);
10419 if (may_involve
< 0 || may_involve
)
10420 return may_involve
;
10423 return isl_bool_false
;
10426 /* Return the first integer division of "bmap" in the range
10427 * [first, first + n[ that may depend on any output dimensions and
10428 * that has a non-zero coefficient in "c" (where the first coefficient
10429 * in "c" corresponds to integer division "first").
10431 static int first_div_may_involve_output(__isl_keep isl_basic_map
*bmap
,
10432 isl_int
*c
, int first
, int n
)
10439 for (k
= first
; k
< first
+ n
; ++k
) {
10440 isl_bool may_involve
;
10442 if (isl_int_is_zero(c
[k
]))
10444 may_involve
= div_may_involve_output(bmap
, k
);
10445 if (may_involve
< 0)
10454 /* Look for a pair of inequality constraints in "bmap" of the form
10456 * -l + i >= 0 or i >= l
10458 * n + l - i >= 0 or i <= l + n
10460 * with n < "m" and i the output dimension at position "pos".
10461 * (Note that n >= 0 as otherwise the two constraints would conflict.)
10462 * Furthermore, "l" is only allowed to involve parameters, input dimensions
10463 * and earlier output dimensions, as well as integer divisions that do
10464 * not involve any of the output dimensions.
10466 * Return the index of the first inequality constraint or bmap->n_ineq
10467 * if no such pair can be found.
10469 static int find_modulo_constraint_pair(__isl_keep isl_basic_map
*bmap
,
10470 int pos
, isl_int m
)
10475 unsigned n_div
, o_div
;
10476 unsigned n_out
, o_out
;
10482 ctx
= isl_basic_map_get_ctx(bmap
);
10483 total
= isl_basic_map_total_dim(bmap
);
10484 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
10485 o_out
= isl_basic_map_offset(bmap
, isl_dim_out
);
10486 n_div
= isl_basic_map_dim(bmap
, isl_dim_div
);
10487 o_div
= isl_basic_map_offset(bmap
, isl_dim_div
);
10488 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
10489 if (!isl_int_abs_eq(bmap
->ineq
[i
][o_out
+ pos
], ctx
->one
))
10491 if (isl_seq_first_non_zero(bmap
->ineq
[i
] + o_out
+ pos
+ 1,
10492 n_out
- (pos
+ 1)) != -1)
10494 if (first_div_may_involve_output(bmap
, bmap
->ineq
[i
] + o_div
,
10497 for (j
= i
+ 1; j
< bmap
->n_ineq
; ++j
) {
10498 if (!isl_int_abs_eq(bmap
->ineq
[j
][o_out
+ pos
],
10501 if (!isl_seq_is_neg(bmap
->ineq
[i
] + 1,
10502 bmap
->ineq
[j
] + 1, total
))
10506 if (j
>= bmap
->n_ineq
)
10508 isl_int_add(bmap
->ineq
[i
][0],
10509 bmap
->ineq
[i
][0], bmap
->ineq
[j
][0]);
10510 less
= isl_int_abs_lt(bmap
->ineq
[i
][0], m
);
10511 isl_int_sub(bmap
->ineq
[i
][0],
10512 bmap
->ineq
[i
][0], bmap
->ineq
[j
][0]);
10515 if (isl_int_is_one(bmap
->ineq
[i
][o_out
+ pos
]))
10521 return bmap
->n_ineq
;
10524 /* Return the index of the equality of "bmap" that defines
10525 * the output dimension "pos" in terms of earlier dimensions.
10526 * The equality may also involve integer divisions, as long
10527 * as those integer divisions are defined in terms of
10528 * parameters or input dimensions.
10529 * In this case, *div is set to the number of integer divisions and
10530 * *ineq is set to the number of inequality constraints (provided
10531 * div and ineq are not NULL).
10533 * The equality may also involve a single integer division involving
10534 * the output dimensions (typically only output dimension "pos") as
10535 * long as the coefficient of output dimension "pos" is 1 or -1 and
10536 * there is a pair of constraints i >= l and i <= l + n, with i referring
10537 * to output dimension "pos", l an expression involving only earlier
10538 * dimensions and n smaller than the coefficient of the integer division
10539 * in the equality. In this case, the output dimension can be defined
10540 * in terms of a modulo expression that does not involve the integer division.
10541 * *div is then set to this single integer division and
10542 * *ineq is set to the index of constraint i >= l.
10544 * Return bmap->n_eq if there is no such equality.
10545 * Return -1 on error.
10547 int isl_basic_map_output_defining_equality(__isl_keep isl_basic_map
*bmap
,
10548 int pos
, int *div
, int *ineq
)
10551 unsigned n_out
, o_out
;
10552 unsigned n_div
, o_div
;
10557 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
10558 o_out
= isl_basic_map_offset(bmap
, isl_dim_out
);
10559 n_div
= isl_basic_map_dim(bmap
, isl_dim_div
);
10560 o_div
= isl_basic_map_offset(bmap
, isl_dim_div
);
10563 *ineq
= bmap
->n_ineq
;
10566 for (j
= 0; j
< bmap
->n_eq
; ++j
) {
10567 if (isl_int_is_zero(bmap
->eq
[j
][o_out
+ pos
]))
10569 if (isl_seq_first_non_zero(bmap
->eq
[j
] + o_out
+ pos
+ 1,
10570 n_out
- (pos
+ 1)) != -1)
10572 k
= first_div_may_involve_output(bmap
, bmap
->eq
[j
] + o_div
,
10576 if (!isl_int_is_one(bmap
->eq
[j
][o_out
+ pos
]) &&
10577 !isl_int_is_negone(bmap
->eq
[j
][o_out
+ pos
]))
10579 if (first_div_may_involve_output(bmap
, bmap
->eq
[j
] + o_div
,
10580 k
+ 1, n_div
- (k
+1)) < n_div
)
10582 l
= find_modulo_constraint_pair(bmap
, pos
,
10583 bmap
->eq
[j
][o_div
+ k
]);
10586 if (l
>= bmap
->n_ineq
)
10598 /* Check if the given basic map is obviously single-valued.
10599 * In particular, for each output dimension, check that there is
10600 * an equality that defines the output dimension in terms of
10601 * earlier dimensions.
10603 isl_bool
isl_basic_map_plain_is_single_valued(__isl_keep isl_basic_map
*bmap
)
10609 return isl_bool_error
;
10611 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
10613 for (i
= 0; i
< n_out
; ++i
) {
10616 eq
= isl_basic_map_output_defining_equality(bmap
, i
,
10619 return isl_bool_error
;
10620 if (eq
>= bmap
->n_eq
)
10621 return isl_bool_false
;
10624 return isl_bool_true
;
10627 /* Check if the given basic map is single-valued.
10628 * We simply compute
10632 * and check if the result is a subset of the identity mapping.
10634 isl_bool
isl_basic_map_is_single_valued(__isl_keep isl_basic_map
*bmap
)
10637 isl_basic_map
*test
;
10641 sv
= isl_basic_map_plain_is_single_valued(bmap
);
10645 test
= isl_basic_map_reverse(isl_basic_map_copy(bmap
));
10646 test
= isl_basic_map_apply_range(test
, isl_basic_map_copy(bmap
));
10648 space
= isl_basic_map_get_space(bmap
);
10649 space
= isl_space_map_from_set(isl_space_range(space
));
10650 id
= isl_basic_map_identity(space
);
10652 sv
= isl_basic_map_is_subset(test
, id
);
10654 isl_basic_map_free(test
);
10655 isl_basic_map_free(id
);
10660 /* Check if the given map is obviously single-valued.
10662 isl_bool
isl_map_plain_is_single_valued(__isl_keep isl_map
*map
)
10665 return isl_bool_error
;
10667 return isl_bool_true
;
10669 return isl_bool_false
;
10671 return isl_basic_map_plain_is_single_valued(map
->p
[0]);
10674 /* Check if the given map is single-valued.
10675 * We simply compute
10679 * and check if the result is a subset of the identity mapping.
10681 isl_bool
isl_map_is_single_valued(__isl_keep isl_map
*map
)
10688 sv
= isl_map_plain_is_single_valued(map
);
10692 test
= isl_map_reverse(isl_map_copy(map
));
10693 test
= isl_map_apply_range(test
, isl_map_copy(map
));
10695 dim
= isl_space_map_from_set(isl_space_range(isl_map_get_space(map
)));
10696 id
= isl_map_identity(dim
);
10698 sv
= isl_map_is_subset(test
, id
);
10700 isl_map_free(test
);
10706 isl_bool
isl_map_is_injective(__isl_keep isl_map
*map
)
10710 map
= isl_map_copy(map
);
10711 map
= isl_map_reverse(map
);
10712 in
= isl_map_is_single_valued(map
);
10718 /* Check if the given map is obviously injective.
10720 isl_bool
isl_map_plain_is_injective(__isl_keep isl_map
*map
)
10724 map
= isl_map_copy(map
);
10725 map
= isl_map_reverse(map
);
10726 in
= isl_map_plain_is_single_valued(map
);
10732 isl_bool
isl_map_is_bijective(__isl_keep isl_map
*map
)
10736 sv
= isl_map_is_single_valued(map
);
10740 return isl_map_is_injective(map
);
10743 isl_bool
isl_set_is_singleton(__isl_keep isl_set
*set
)
10745 return isl_map_is_single_valued(set_to_map(set
));
10748 /* Does "map" only map elements to themselves?
10750 * If the domain and range spaces are different, then "map"
10751 * is considered not to be an identity relation, even if it is empty.
10752 * Otherwise, construct the maximal identity relation and
10753 * check whether "map" is a subset of this relation.
10755 isl_bool
isl_map_is_identity(__isl_keep isl_map
*map
)
10759 isl_bool equal
, is_identity
;
10761 space
= isl_map_get_space(map
);
10762 equal
= isl_space_tuple_is_equal(space
, isl_dim_in
, space
, isl_dim_out
);
10763 isl_space_free(space
);
10764 if (equal
< 0 || !equal
)
10767 id
= isl_map_identity(isl_map_get_space(map
));
10768 is_identity
= isl_map_is_subset(map
, id
);
10771 return is_identity
;
10774 int isl_map_is_translation(__isl_keep isl_map
*map
)
10779 delta
= isl_map_deltas(isl_map_copy(map
));
10780 ok
= isl_set_is_singleton(delta
);
10781 isl_set_free(delta
);
10786 static int unique(isl_int
*p
, unsigned pos
, unsigned len
)
10788 if (isl_seq_first_non_zero(p
, pos
) != -1)
10790 if (isl_seq_first_non_zero(p
+ pos
+ 1, len
- pos
- 1) != -1)
10795 isl_bool
isl_basic_set_is_box(__isl_keep isl_basic_set
*bset
)
10802 return isl_bool_error
;
10804 if (isl_basic_set_dim(bset
, isl_dim_div
) != 0)
10805 return isl_bool_false
;
10807 nvar
= isl_basic_set_dim(bset
, isl_dim_set
);
10808 ovar
= isl_space_offset(bset
->dim
, isl_dim_set
);
10809 for (j
= 0; j
< nvar
; ++j
) {
10810 int lower
= 0, upper
= 0;
10811 for (i
= 0; i
< bset
->n_eq
; ++i
) {
10812 if (isl_int_is_zero(bset
->eq
[i
][1 + ovar
+ j
]))
10814 if (!unique(bset
->eq
[i
] + 1 + ovar
, j
, nvar
))
10815 return isl_bool_false
;
10818 if (i
< bset
->n_eq
)
10820 for (i
= 0; i
< bset
->n_ineq
; ++i
) {
10821 if (isl_int_is_zero(bset
->ineq
[i
][1 + ovar
+ j
]))
10823 if (!unique(bset
->ineq
[i
] + 1 + ovar
, j
, nvar
))
10824 return isl_bool_false
;
10825 if (isl_int_is_pos(bset
->ineq
[i
][1 + ovar
+ j
]))
10830 if (!lower
|| !upper
)
10831 return isl_bool_false
;
10834 return isl_bool_true
;
10837 isl_bool
isl_set_is_box(__isl_keep isl_set
*set
)
10840 return isl_bool_error
;
10842 return isl_bool_false
;
10844 return isl_basic_set_is_box(set
->p
[0]);
10847 isl_bool
isl_basic_set_is_wrapping(__isl_keep isl_basic_set
*bset
)
10850 return isl_bool_error
;
10852 return isl_space_is_wrapping(bset
->dim
);
10855 isl_bool
isl_set_is_wrapping(__isl_keep isl_set
*set
)
10858 return isl_bool_error
;
10860 return isl_space_is_wrapping(set
->dim
);
10863 /* Modify the space of "map" through a call to "change".
10864 * If "can_change" is set (not NULL), then first call it to check
10865 * if the modification is allowed, printing the error message "cannot_change"
10868 static __isl_give isl_map
*isl_map_change_space(__isl_take isl_map
*map
,
10869 isl_bool (*can_change
)(__isl_keep isl_map
*map
),
10870 const char *cannot_change
,
10871 __isl_give isl_space
*(*change
)(__isl_take isl_space
*space
))
10879 ok
= can_change
? can_change(map
) : isl_bool_true
;
10881 return isl_map_free(map
);
10883 isl_die(isl_map_get_ctx(map
), isl_error_invalid
, cannot_change
,
10884 return isl_map_free(map
));
10886 space
= change(isl_map_get_space(map
));
10887 map
= isl_map_reset_space(map
, space
);
10892 /* Is the domain of "map" a wrapped relation?
10894 isl_bool
isl_map_domain_is_wrapping(__isl_keep isl_map
*map
)
10897 return isl_bool_error
;
10899 return isl_space_domain_is_wrapping(map
->dim
);
10902 /* Is the range of "map" a wrapped relation?
10904 isl_bool
isl_map_range_is_wrapping(__isl_keep isl_map
*map
)
10907 return isl_bool_error
;
10909 return isl_space_range_is_wrapping(map
->dim
);
10912 __isl_give isl_basic_set
*isl_basic_map_wrap(__isl_take isl_basic_map
*bmap
)
10914 bmap
= isl_basic_map_cow(bmap
);
10918 bmap
->dim
= isl_space_wrap(bmap
->dim
);
10922 bmap
= isl_basic_map_finalize(bmap
);
10924 return bset_from_bmap(bmap
);
10926 isl_basic_map_free(bmap
);
10930 /* Given a map A -> B, return the set (A -> B).
10932 __isl_give isl_set
*isl_map_wrap(__isl_take isl_map
*map
)
10934 return isl_map_change_space(map
, NULL
, NULL
, &isl_space_wrap
);
10937 __isl_give isl_basic_map
*isl_basic_set_unwrap(__isl_take isl_basic_set
*bset
)
10939 bset
= isl_basic_set_cow(bset
);
10943 bset
->dim
= isl_space_unwrap(bset
->dim
);
10947 bset
= isl_basic_set_finalize(bset
);
10949 return bset_to_bmap(bset
);
10951 isl_basic_set_free(bset
);
10955 /* Given a set (A -> B), return the map A -> B.
10956 * Error out if "set" is not of the form (A -> B).
10958 __isl_give isl_map
*isl_set_unwrap(__isl_take isl_set
*set
)
10960 return isl_map_change_space(set
, &isl_set_is_wrapping
,
10961 "not a wrapping set", &isl_space_unwrap
);
10964 __isl_give isl_basic_map
*isl_basic_map_reset(__isl_take isl_basic_map
*bmap
,
10965 enum isl_dim_type type
)
10970 if (!isl_space_is_named_or_nested(bmap
->dim
, type
))
10973 bmap
= isl_basic_map_cow(bmap
);
10977 bmap
->dim
= isl_space_reset(bmap
->dim
, type
);
10981 bmap
= isl_basic_map_finalize(bmap
);
10985 isl_basic_map_free(bmap
);
10989 __isl_give isl_map
*isl_map_reset(__isl_take isl_map
*map
,
10990 enum isl_dim_type type
)
10997 if (!isl_space_is_named_or_nested(map
->dim
, type
))
11000 map
= isl_map_cow(map
);
11004 for (i
= 0; i
< map
->n
; ++i
) {
11005 map
->p
[i
] = isl_basic_map_reset(map
->p
[i
], type
);
11009 map
->dim
= isl_space_reset(map
->dim
, type
);
11019 __isl_give isl_basic_map
*isl_basic_map_flatten(__isl_take isl_basic_map
*bmap
)
11024 if (!bmap
->dim
->nested
[0] && !bmap
->dim
->nested
[1])
11027 bmap
= isl_basic_map_cow(bmap
);
11031 bmap
->dim
= isl_space_flatten(bmap
->dim
);
11035 bmap
= isl_basic_map_finalize(bmap
);
11039 isl_basic_map_free(bmap
);
11043 __isl_give isl_basic_set
*isl_basic_set_flatten(__isl_take isl_basic_set
*bset
)
11045 return bset_from_bmap(isl_basic_map_flatten(bset_to_bmap(bset
)));
11048 __isl_give isl_basic_map
*isl_basic_map_flatten_domain(
11049 __isl_take isl_basic_map
*bmap
)
11054 if (!bmap
->dim
->nested
[0])
11057 bmap
= isl_basic_map_cow(bmap
);
11061 bmap
->dim
= isl_space_flatten_domain(bmap
->dim
);
11065 bmap
= isl_basic_map_finalize(bmap
);
11069 isl_basic_map_free(bmap
);
11073 __isl_give isl_basic_map
*isl_basic_map_flatten_range(
11074 __isl_take isl_basic_map
*bmap
)
11079 if (!bmap
->dim
->nested
[1])
11082 bmap
= isl_basic_map_cow(bmap
);
11086 bmap
->dim
= isl_space_flatten_range(bmap
->dim
);
11090 bmap
= isl_basic_map_finalize(bmap
);
11094 isl_basic_map_free(bmap
);
11098 /* Remove any internal structure from the spaces of domain and range of "map".
11100 __isl_give isl_map
*isl_map_flatten(__isl_take isl_map
*map
)
11105 if (!map
->dim
->nested
[0] && !map
->dim
->nested
[1])
11108 return isl_map_change_space(map
, NULL
, NULL
, &isl_space_flatten
);
11111 __isl_give isl_set
*isl_set_flatten(__isl_take isl_set
*set
)
11113 return set_from_map(isl_map_flatten(set_to_map(set
)));
11116 __isl_give isl_map
*isl_set_flatten_map(__isl_take isl_set
*set
)
11118 isl_space
*dim
, *flat_dim
;
11121 dim
= isl_set_get_space(set
);
11122 flat_dim
= isl_space_flatten(isl_space_copy(dim
));
11123 map
= isl_map_identity(isl_space_join(isl_space_reverse(dim
), flat_dim
));
11124 map
= isl_map_intersect_domain(map
, set
);
11129 /* Remove any internal structure from the space of the domain of "map".
11131 __isl_give isl_map
*isl_map_flatten_domain(__isl_take isl_map
*map
)
11136 if (!map
->dim
->nested
[0])
11139 return isl_map_change_space(map
, NULL
, NULL
, &isl_space_flatten_domain
);
11142 /* Remove any internal structure from the space of the range of "map".
11144 __isl_give isl_map
*isl_map_flatten_range(__isl_take isl_map
*map
)
11149 if (!map
->dim
->nested
[1])
11152 return isl_map_change_space(map
, NULL
, NULL
, &isl_space_flatten_range
);
11155 /* Reorder the dimensions of "bmap" according to the given dim_map
11156 * and set the dimension specification to "dim" and
11157 * perform Gaussian elimination on the result.
11159 __isl_give isl_basic_map
*isl_basic_map_realign(__isl_take isl_basic_map
*bmap
,
11160 __isl_take isl_space
*dim
, __isl_take
struct isl_dim_map
*dim_map
)
11162 isl_basic_map
*res
;
11165 bmap
= isl_basic_map_cow(bmap
);
11166 if (!bmap
|| !dim
|| !dim_map
)
11169 flags
= bmap
->flags
;
11170 ISL_FL_CLR(flags
, ISL_BASIC_MAP_FINAL
);
11171 ISL_FL_CLR(flags
, ISL_BASIC_MAP_NORMALIZED
);
11172 ISL_FL_CLR(flags
, ISL_BASIC_MAP_NORMALIZED_DIVS
);
11173 res
= isl_basic_map_alloc_space(dim
,
11174 bmap
->n_div
, bmap
->n_eq
, bmap
->n_ineq
);
11175 res
= isl_basic_map_add_constraints_dim_map(res
, bmap
, dim_map
);
11177 res
->flags
= flags
;
11178 res
= isl_basic_map_gauss(res
, NULL
);
11179 res
= isl_basic_map_finalize(res
);
11183 isl_basic_map_free(bmap
);
11184 isl_space_free(dim
);
11188 /* Reorder the dimensions of "map" according to given reordering.
11190 __isl_give isl_map
*isl_map_realign(__isl_take isl_map
*map
,
11191 __isl_take isl_reordering
*r
)
11194 struct isl_dim_map
*dim_map
;
11196 map
= isl_map_cow(map
);
11197 dim_map
= isl_dim_map_from_reordering(r
);
11198 if (!map
|| !r
|| !dim_map
)
11201 for (i
= 0; i
< map
->n
; ++i
) {
11202 struct isl_dim_map
*dim_map_i
;
11204 dim_map_i
= isl_dim_map_extend(dim_map
, map
->p
[i
]);
11206 map
->p
[i
] = isl_basic_map_realign(map
->p
[i
],
11207 isl_space_copy(r
->dim
), dim_map_i
);
11213 map
= isl_map_reset_space(map
, isl_space_copy(r
->dim
));
11215 isl_reordering_free(r
);
11221 isl_reordering_free(r
);
11225 __isl_give isl_set
*isl_set_realign(__isl_take isl_set
*set
,
11226 __isl_take isl_reordering
*r
)
11228 return set_from_map(isl_map_realign(set_to_map(set
), r
));
11231 __isl_give isl_map
*isl_map_align_params(__isl_take isl_map
*map
,
11232 __isl_take isl_space
*model
)
11236 if (!map
|| !model
)
11239 ctx
= isl_space_get_ctx(model
);
11240 if (!isl_space_has_named_params(model
))
11241 isl_die(ctx
, isl_error_invalid
,
11242 "model has unnamed parameters", goto error
);
11243 if (!isl_space_has_named_params(map
->dim
))
11244 isl_die(ctx
, isl_error_invalid
,
11245 "relation has unnamed parameters", goto error
);
11246 if (!isl_space_match(map
->dim
, isl_dim_param
, model
, isl_dim_param
)) {
11247 isl_reordering
*exp
;
11249 model
= isl_space_drop_dims(model
, isl_dim_in
,
11250 0, isl_space_dim(model
, isl_dim_in
));
11251 model
= isl_space_drop_dims(model
, isl_dim_out
,
11252 0, isl_space_dim(model
, isl_dim_out
));
11253 exp
= isl_parameter_alignment_reordering(map
->dim
, model
);
11254 exp
= isl_reordering_extend_space(exp
, isl_map_get_space(map
));
11255 map
= isl_map_realign(map
, exp
);
11258 isl_space_free(model
);
11261 isl_space_free(model
);
11266 __isl_give isl_set
*isl_set_align_params(__isl_take isl_set
*set
,
11267 __isl_take isl_space
*model
)
11269 return isl_map_align_params(set
, model
);
11272 /* Align the parameters of "bmap" to those of "model", introducing
11273 * additional parameters if needed.
11275 __isl_give isl_basic_map
*isl_basic_map_align_params(
11276 __isl_take isl_basic_map
*bmap
, __isl_take isl_space
*model
)
11280 if (!bmap
|| !model
)
11283 ctx
= isl_space_get_ctx(model
);
11284 if (!isl_space_has_named_params(model
))
11285 isl_die(ctx
, isl_error_invalid
,
11286 "model has unnamed parameters", goto error
);
11287 if (!isl_space_has_named_params(bmap
->dim
))
11288 isl_die(ctx
, isl_error_invalid
,
11289 "relation has unnamed parameters", goto error
);
11290 if (!isl_space_match(bmap
->dim
, isl_dim_param
, model
, isl_dim_param
)) {
11291 isl_reordering
*exp
;
11292 struct isl_dim_map
*dim_map
;
11294 model
= isl_space_drop_dims(model
, isl_dim_in
,
11295 0, isl_space_dim(model
, isl_dim_in
));
11296 model
= isl_space_drop_dims(model
, isl_dim_out
,
11297 0, isl_space_dim(model
, isl_dim_out
));
11298 exp
= isl_parameter_alignment_reordering(bmap
->dim
, model
);
11299 exp
= isl_reordering_extend_space(exp
,
11300 isl_basic_map_get_space(bmap
));
11301 dim_map
= isl_dim_map_from_reordering(exp
);
11302 bmap
= isl_basic_map_realign(bmap
,
11303 exp
? isl_space_copy(exp
->dim
) : NULL
,
11304 isl_dim_map_extend(dim_map
, bmap
));
11305 isl_reordering_free(exp
);
11309 isl_space_free(model
);
11312 isl_space_free(model
);
11313 isl_basic_map_free(bmap
);
11317 /* Align the parameters of "bset" to those of "model", introducing
11318 * additional parameters if needed.
11320 __isl_give isl_basic_set
*isl_basic_set_align_params(
11321 __isl_take isl_basic_set
*bset
, __isl_take isl_space
*model
)
11323 return isl_basic_map_align_params(bset
, model
);
11326 __isl_give isl_mat
*isl_basic_map_equalities_matrix(
11327 __isl_keep isl_basic_map
*bmap
, enum isl_dim_type c1
,
11328 enum isl_dim_type c2
, enum isl_dim_type c3
,
11329 enum isl_dim_type c4
, enum isl_dim_type c5
)
11331 enum isl_dim_type c
[5] = { c1
, c2
, c3
, c4
, c5
};
11332 struct isl_mat
*mat
;
11338 mat
= isl_mat_alloc(bmap
->ctx
, bmap
->n_eq
,
11339 isl_basic_map_total_dim(bmap
) + 1);
11342 for (i
= 0; i
< bmap
->n_eq
; ++i
)
11343 for (j
= 0, pos
= 0; j
< 5; ++j
) {
11344 int off
= isl_basic_map_offset(bmap
, c
[j
]);
11345 for (k
= 0; k
< isl_basic_map_dim(bmap
, c
[j
]); ++k
) {
11346 isl_int_set(mat
->row
[i
][pos
],
11347 bmap
->eq
[i
][off
+ k
]);
11355 __isl_give isl_mat
*isl_basic_map_inequalities_matrix(
11356 __isl_keep isl_basic_map
*bmap
, enum isl_dim_type c1
,
11357 enum isl_dim_type c2
, enum isl_dim_type c3
,
11358 enum isl_dim_type c4
, enum isl_dim_type c5
)
11360 enum isl_dim_type c
[5] = { c1
, c2
, c3
, c4
, c5
};
11361 struct isl_mat
*mat
;
11367 mat
= isl_mat_alloc(bmap
->ctx
, bmap
->n_ineq
,
11368 isl_basic_map_total_dim(bmap
) + 1);
11371 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
11372 for (j
= 0, pos
= 0; j
< 5; ++j
) {
11373 int off
= isl_basic_map_offset(bmap
, c
[j
]);
11374 for (k
= 0; k
< isl_basic_map_dim(bmap
, c
[j
]); ++k
) {
11375 isl_int_set(mat
->row
[i
][pos
],
11376 bmap
->ineq
[i
][off
+ k
]);
11384 __isl_give isl_basic_map
*isl_basic_map_from_constraint_matrices(
11385 __isl_take isl_space
*dim
,
11386 __isl_take isl_mat
*eq
, __isl_take isl_mat
*ineq
, enum isl_dim_type c1
,
11387 enum isl_dim_type c2
, enum isl_dim_type c3
,
11388 enum isl_dim_type c4
, enum isl_dim_type c5
)
11390 enum isl_dim_type c
[5] = { c1
, c2
, c3
, c4
, c5
};
11391 isl_basic_map
*bmap
;
11397 if (!dim
|| !eq
|| !ineq
)
11400 if (eq
->n_col
!= ineq
->n_col
)
11401 isl_die(dim
->ctx
, isl_error_invalid
,
11402 "equalities and inequalities matrices should have "
11403 "same number of columns", goto error
);
11405 total
= 1 + isl_space_dim(dim
, isl_dim_all
);
11407 if (eq
->n_col
< total
)
11408 isl_die(dim
->ctx
, isl_error_invalid
,
11409 "number of columns too small", goto error
);
11411 extra
= eq
->n_col
- total
;
11413 bmap
= isl_basic_map_alloc_space(isl_space_copy(dim
), extra
,
11414 eq
->n_row
, ineq
->n_row
);
11417 for (i
= 0; i
< extra
; ++i
) {
11418 k
= isl_basic_map_alloc_div(bmap
);
11421 isl_int_set_si(bmap
->div
[k
][0], 0);
11423 for (i
= 0; i
< eq
->n_row
; ++i
) {
11424 l
= isl_basic_map_alloc_equality(bmap
);
11427 for (j
= 0, pos
= 0; j
< 5; ++j
) {
11428 int off
= isl_basic_map_offset(bmap
, c
[j
]);
11429 for (k
= 0; k
< isl_basic_map_dim(bmap
, c
[j
]); ++k
) {
11430 isl_int_set(bmap
->eq
[l
][off
+ k
],
11436 for (i
= 0; i
< ineq
->n_row
; ++i
) {
11437 l
= isl_basic_map_alloc_inequality(bmap
);
11440 for (j
= 0, pos
= 0; j
< 5; ++j
) {
11441 int off
= isl_basic_map_offset(bmap
, c
[j
]);
11442 for (k
= 0; k
< isl_basic_map_dim(bmap
, c
[j
]); ++k
) {
11443 isl_int_set(bmap
->ineq
[l
][off
+ k
],
11444 ineq
->row
[i
][pos
]);
11450 isl_space_free(dim
);
11452 isl_mat_free(ineq
);
11454 bmap
= isl_basic_map_simplify(bmap
);
11455 return isl_basic_map_finalize(bmap
);
11457 isl_space_free(dim
);
11459 isl_mat_free(ineq
);
11463 __isl_give isl_mat
*isl_basic_set_equalities_matrix(
11464 __isl_keep isl_basic_set
*bset
, enum isl_dim_type c1
,
11465 enum isl_dim_type c2
, enum isl_dim_type c3
, enum isl_dim_type c4
)
11467 return isl_basic_map_equalities_matrix(bset_to_bmap(bset
),
11468 c1
, c2
, c3
, c4
, isl_dim_in
);
11471 __isl_give isl_mat
*isl_basic_set_inequalities_matrix(
11472 __isl_keep isl_basic_set
*bset
, enum isl_dim_type c1
,
11473 enum isl_dim_type c2
, enum isl_dim_type c3
, enum isl_dim_type c4
)
11475 return isl_basic_map_inequalities_matrix(bset_to_bmap(bset
),
11476 c1
, c2
, c3
, c4
, isl_dim_in
);
11479 __isl_give isl_basic_set
*isl_basic_set_from_constraint_matrices(
11480 __isl_take isl_space
*dim
,
11481 __isl_take isl_mat
*eq
, __isl_take isl_mat
*ineq
, enum isl_dim_type c1
,
11482 enum isl_dim_type c2
, enum isl_dim_type c3
, enum isl_dim_type c4
)
11484 isl_basic_map
*bmap
;
11485 bmap
= isl_basic_map_from_constraint_matrices(dim
, eq
, ineq
,
11486 c1
, c2
, c3
, c4
, isl_dim_in
);
11487 return bset_from_bmap(bmap
);
11490 isl_bool
isl_basic_map_can_zip(__isl_keep isl_basic_map
*bmap
)
11493 return isl_bool_error
;
11495 return isl_space_can_zip(bmap
->dim
);
11498 isl_bool
isl_map_can_zip(__isl_keep isl_map
*map
)
11501 return isl_bool_error
;
11503 return isl_space_can_zip(map
->dim
);
11506 /* Given a basic map (A -> B) -> (C -> D), return the corresponding basic map
11507 * (A -> C) -> (B -> D).
11509 __isl_give isl_basic_map
*isl_basic_map_zip(__isl_take isl_basic_map
*bmap
)
11518 if (!isl_basic_map_can_zip(bmap
))
11519 isl_die(bmap
->ctx
, isl_error_invalid
,
11520 "basic map cannot be zipped", goto error
);
11521 pos
= isl_basic_map_offset(bmap
, isl_dim_in
) +
11522 isl_space_dim(bmap
->dim
->nested
[0], isl_dim_in
);
11523 n1
= isl_space_dim(bmap
->dim
->nested
[0], isl_dim_out
);
11524 n2
= isl_space_dim(bmap
->dim
->nested
[1], isl_dim_in
);
11525 bmap
= isl_basic_map_cow(bmap
);
11526 bmap
= isl_basic_map_swap_vars(bmap
, pos
, n1
, n2
);
11529 bmap
->dim
= isl_space_zip(bmap
->dim
);
11532 bmap
= isl_basic_map_mark_final(bmap
);
11535 isl_basic_map_free(bmap
);
11539 /* Given a map (A -> B) -> (C -> D), return the corresponding map
11540 * (A -> C) -> (B -> D).
11542 __isl_give isl_map
*isl_map_zip(__isl_take isl_map
*map
)
11549 if (!isl_map_can_zip(map
))
11550 isl_die(map
->ctx
, isl_error_invalid
, "map cannot be zipped",
11553 map
= isl_map_cow(map
);
11557 for (i
= 0; i
< map
->n
; ++i
) {
11558 map
->p
[i
] = isl_basic_map_zip(map
->p
[i
]);
11563 map
->dim
= isl_space_zip(map
->dim
);
11573 /* Can we apply isl_basic_map_curry to "bmap"?
11574 * That is, does it have a nested relation in its domain?
11576 isl_bool
isl_basic_map_can_curry(__isl_keep isl_basic_map
*bmap
)
11579 return isl_bool_error
;
11581 return isl_space_can_curry(bmap
->dim
);
11584 /* Can we apply isl_map_curry to "map"?
11585 * That is, does it have a nested relation in its domain?
11587 isl_bool
isl_map_can_curry(__isl_keep isl_map
*map
)
11590 return isl_bool_error
;
11592 return isl_space_can_curry(map
->dim
);
11595 /* Given a basic map (A -> B) -> C, return the corresponding basic map
11598 __isl_give isl_basic_map
*isl_basic_map_curry(__isl_take isl_basic_map
*bmap
)
11604 if (!isl_basic_map_can_curry(bmap
))
11605 isl_die(bmap
->ctx
, isl_error_invalid
,
11606 "basic map cannot be curried", goto error
);
11607 bmap
= isl_basic_map_cow(bmap
);
11610 bmap
->dim
= isl_space_curry(bmap
->dim
);
11613 bmap
= isl_basic_map_mark_final(bmap
);
11616 isl_basic_map_free(bmap
);
11620 /* Given a map (A -> B) -> C, return the corresponding map
11623 __isl_give isl_map
*isl_map_curry(__isl_take isl_map
*map
)
11625 return isl_map_change_space(map
, &isl_map_can_curry
,
11626 "map cannot be curried", &isl_space_curry
);
11629 /* Can isl_map_range_curry be applied to "map"?
11630 * That is, does it have a nested relation in its range,
11631 * the domain of which is itself a nested relation?
11633 isl_bool
isl_map_can_range_curry(__isl_keep isl_map
*map
)
11636 return isl_bool_error
;
11638 return isl_space_can_range_curry(map
->dim
);
11641 /* Given a map A -> ((B -> C) -> D), return the corresponding map
11642 * A -> (B -> (C -> D)).
11644 __isl_give isl_map
*isl_map_range_curry(__isl_take isl_map
*map
)
11646 return isl_map_change_space(map
, &isl_map_can_range_curry
,
11647 "map range cannot be curried",
11648 &isl_space_range_curry
);
11651 /* Can we apply isl_basic_map_uncurry to "bmap"?
11652 * That is, does it have a nested relation in its domain?
11654 isl_bool
isl_basic_map_can_uncurry(__isl_keep isl_basic_map
*bmap
)
11657 return isl_bool_error
;
11659 return isl_space_can_uncurry(bmap
->dim
);
11662 /* Can we apply isl_map_uncurry to "map"?
11663 * That is, does it have a nested relation in its domain?
11665 isl_bool
isl_map_can_uncurry(__isl_keep isl_map
*map
)
11668 return isl_bool_error
;
11670 return isl_space_can_uncurry(map
->dim
);
11673 /* Given a basic map A -> (B -> C), return the corresponding basic map
11676 __isl_give isl_basic_map
*isl_basic_map_uncurry(__isl_take isl_basic_map
*bmap
)
11682 if (!isl_basic_map_can_uncurry(bmap
))
11683 isl_die(bmap
->ctx
, isl_error_invalid
,
11684 "basic map cannot be uncurried",
11685 return isl_basic_map_free(bmap
));
11686 bmap
= isl_basic_map_cow(bmap
);
11689 bmap
->dim
= isl_space_uncurry(bmap
->dim
);
11691 return isl_basic_map_free(bmap
);
11692 bmap
= isl_basic_map_mark_final(bmap
);
11696 /* Given a map A -> (B -> C), return the corresponding map
11699 __isl_give isl_map
*isl_map_uncurry(__isl_take isl_map
*map
)
11701 return isl_map_change_space(map
, &isl_map_can_uncurry
,
11702 "map cannot be uncurried", &isl_space_uncurry
);
11705 /* Construct a basic map mapping the domain of the affine expression
11706 * to a one-dimensional range prescribed by the affine expression.
11707 * If "rational" is set, then construct a rational basic map.
11709 * A NaN affine expression cannot be converted to a basic map.
11711 static __isl_give isl_basic_map
*isl_basic_map_from_aff2(
11712 __isl_take isl_aff
*aff
, int rational
)
11717 isl_local_space
*ls
;
11718 isl_basic_map
*bmap
= NULL
;
11722 is_nan
= isl_aff_is_nan(aff
);
11726 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
11727 "cannot convert NaN", goto error
);
11729 ls
= isl_aff_get_local_space(aff
);
11730 bmap
= isl_basic_map_from_local_space(ls
);
11731 bmap
= isl_basic_map_extend_constraints(bmap
, 1, 0);
11732 k
= isl_basic_map_alloc_equality(bmap
);
11736 pos
= isl_basic_map_offset(bmap
, isl_dim_out
);
11737 isl_seq_cpy(bmap
->eq
[k
], aff
->v
->el
+ 1, pos
);
11738 isl_int_neg(bmap
->eq
[k
][pos
], aff
->v
->el
[0]);
11739 isl_seq_cpy(bmap
->eq
[k
] + pos
+ 1, aff
->v
->el
+ 1 + pos
,
11740 aff
->v
->size
- (pos
+ 1));
11744 bmap
= isl_basic_map_set_rational(bmap
);
11745 bmap
= isl_basic_map_finalize(bmap
);
11749 isl_basic_map_free(bmap
);
11753 /* Construct a basic map mapping the domain of the affine expression
11754 * to a one-dimensional range prescribed by the affine expression.
11756 __isl_give isl_basic_map
*isl_basic_map_from_aff(__isl_take isl_aff
*aff
)
11758 return isl_basic_map_from_aff2(aff
, 0);
11761 /* Construct a map mapping the domain of the affine expression
11762 * to a one-dimensional range prescribed by the affine expression.
11764 __isl_give isl_map
*isl_map_from_aff(__isl_take isl_aff
*aff
)
11766 isl_basic_map
*bmap
;
11768 bmap
= isl_basic_map_from_aff(aff
);
11769 return isl_map_from_basic_map(bmap
);
11772 /* Construct a basic map mapping the domain the multi-affine expression
11773 * to its range, with each dimension in the range equated to the
11774 * corresponding affine expression.
11775 * If "rational" is set, then construct a rational basic map.
11777 __isl_give isl_basic_map
*isl_basic_map_from_multi_aff2(
11778 __isl_take isl_multi_aff
*maff
, int rational
)
11782 isl_basic_map
*bmap
;
11787 if (isl_space_dim(maff
->space
, isl_dim_out
) != maff
->n
)
11788 isl_die(isl_multi_aff_get_ctx(maff
), isl_error_internal
,
11789 "invalid space", goto error
);
11791 space
= isl_space_domain(isl_multi_aff_get_space(maff
));
11792 bmap
= isl_basic_map_universe(isl_space_from_domain(space
));
11794 bmap
= isl_basic_map_set_rational(bmap
);
11796 for (i
= 0; i
< maff
->n
; ++i
) {
11798 isl_basic_map
*bmap_i
;
11800 aff
= isl_aff_copy(maff
->p
[i
]);
11801 bmap_i
= isl_basic_map_from_aff2(aff
, rational
);
11803 bmap
= isl_basic_map_flat_range_product(bmap
, bmap_i
);
11806 bmap
= isl_basic_map_reset_space(bmap
, isl_multi_aff_get_space(maff
));
11808 isl_multi_aff_free(maff
);
11811 isl_multi_aff_free(maff
);
11815 /* Construct a basic map mapping the domain the multi-affine expression
11816 * to its range, with each dimension in the range equated to the
11817 * corresponding affine expression.
11819 __isl_give isl_basic_map
*isl_basic_map_from_multi_aff(
11820 __isl_take isl_multi_aff
*ma
)
11822 return isl_basic_map_from_multi_aff2(ma
, 0);
11825 /* Construct a map mapping the domain the multi-affine expression
11826 * to its range, with each dimension in the range equated to the
11827 * corresponding affine expression.
11829 __isl_give isl_map
*isl_map_from_multi_aff(__isl_take isl_multi_aff
*maff
)
11831 isl_basic_map
*bmap
;
11833 bmap
= isl_basic_map_from_multi_aff(maff
);
11834 return isl_map_from_basic_map(bmap
);
11837 /* Construct a basic map mapping a domain in the given space to
11838 * to an n-dimensional range, with n the number of elements in the list,
11839 * where each coordinate in the range is prescribed by the
11840 * corresponding affine expression.
11841 * The domains of all affine expressions in the list are assumed to match
11844 __isl_give isl_basic_map
*isl_basic_map_from_aff_list(
11845 __isl_take isl_space
*domain_dim
, __isl_take isl_aff_list
*list
)
11849 isl_basic_map
*bmap
;
11854 dim
= isl_space_from_domain(domain_dim
);
11855 bmap
= isl_basic_map_universe(dim
);
11857 for (i
= 0; i
< list
->n
; ++i
) {
11859 isl_basic_map
*bmap_i
;
11861 aff
= isl_aff_copy(list
->p
[i
]);
11862 bmap_i
= isl_basic_map_from_aff(aff
);
11864 bmap
= isl_basic_map_flat_range_product(bmap
, bmap_i
);
11867 isl_aff_list_free(list
);
11871 __isl_give isl_set
*isl_set_equate(__isl_take isl_set
*set
,
11872 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
11874 return isl_map_equate(set
, type1
, pos1
, type2
, pos2
);
11877 /* Construct a basic map where the given dimensions are equal to each other.
11879 static __isl_give isl_basic_map
*equator(__isl_take isl_space
*space
,
11880 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
11882 isl_basic_map
*bmap
= NULL
;
11888 if (pos1
>= isl_space_dim(space
, type1
))
11889 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
11890 "index out of bounds", goto error
);
11891 if (pos2
>= isl_space_dim(space
, type2
))
11892 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
11893 "index out of bounds", goto error
);
11895 if (type1
== type2
&& pos1
== pos2
)
11896 return isl_basic_map_universe(space
);
11898 bmap
= isl_basic_map_alloc_space(isl_space_copy(space
), 0, 1, 0);
11899 i
= isl_basic_map_alloc_equality(bmap
);
11902 isl_seq_clr(bmap
->eq
[i
], 1 + isl_basic_map_total_dim(bmap
));
11903 pos1
+= isl_basic_map_offset(bmap
, type1
);
11904 pos2
+= isl_basic_map_offset(bmap
, type2
);
11905 isl_int_set_si(bmap
->eq
[i
][pos1
], -1);
11906 isl_int_set_si(bmap
->eq
[i
][pos2
], 1);
11907 bmap
= isl_basic_map_finalize(bmap
);
11908 isl_space_free(space
);
11911 isl_space_free(space
);
11912 isl_basic_map_free(bmap
);
11916 /* Add a constraint imposing that the given two dimensions are equal.
11918 __isl_give isl_basic_map
*isl_basic_map_equate(__isl_take isl_basic_map
*bmap
,
11919 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
11923 eq
= equator(isl_basic_map_get_space(bmap
), type1
, pos1
, type2
, pos2
);
11925 bmap
= isl_basic_map_intersect(bmap
, eq
);
11930 /* Add a constraint imposing that the given two dimensions are equal.
11932 __isl_give isl_map
*isl_map_equate(__isl_take isl_map
*map
,
11933 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
11935 isl_basic_map
*bmap
;
11937 bmap
= equator(isl_map_get_space(map
), type1
, pos1
, type2
, pos2
);
11939 map
= isl_map_intersect(map
, isl_map_from_basic_map(bmap
));
11944 /* Add a constraint imposing that the given two dimensions have opposite values.
11946 __isl_give isl_map
*isl_map_oppose(__isl_take isl_map
*map
,
11947 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
11949 isl_basic_map
*bmap
= NULL
;
11955 if (pos1
>= isl_map_dim(map
, type1
))
11956 isl_die(map
->ctx
, isl_error_invalid
,
11957 "index out of bounds", goto error
);
11958 if (pos2
>= isl_map_dim(map
, type2
))
11959 isl_die(map
->ctx
, isl_error_invalid
,
11960 "index out of bounds", goto error
);
11962 bmap
= isl_basic_map_alloc_space(isl_map_get_space(map
), 0, 1, 0);
11963 i
= isl_basic_map_alloc_equality(bmap
);
11966 isl_seq_clr(bmap
->eq
[i
], 1 + isl_basic_map_total_dim(bmap
));
11967 pos1
+= isl_basic_map_offset(bmap
, type1
);
11968 pos2
+= isl_basic_map_offset(bmap
, type2
);
11969 isl_int_set_si(bmap
->eq
[i
][pos1
], 1);
11970 isl_int_set_si(bmap
->eq
[i
][pos2
], 1);
11971 bmap
= isl_basic_map_finalize(bmap
);
11973 map
= isl_map_intersect(map
, isl_map_from_basic_map(bmap
));
11977 isl_basic_map_free(bmap
);
11982 /* Construct a constraint imposing that the value of the first dimension is
11983 * greater than or equal to that of the second.
11985 static __isl_give isl_constraint
*constraint_order_ge(
11986 __isl_take isl_space
*space
, enum isl_dim_type type1
, int pos1
,
11987 enum isl_dim_type type2
, int pos2
)
11994 c
= isl_constraint_alloc_inequality(isl_local_space_from_space(space
));
11996 if (pos1
>= isl_constraint_dim(c
, type1
))
11997 isl_die(isl_constraint_get_ctx(c
), isl_error_invalid
,
11998 "index out of bounds", return isl_constraint_free(c
));
11999 if (pos2
>= isl_constraint_dim(c
, type2
))
12000 isl_die(isl_constraint_get_ctx(c
), isl_error_invalid
,
12001 "index out of bounds", return isl_constraint_free(c
));
12003 if (type1
== type2
&& pos1
== pos2
)
12006 c
= isl_constraint_set_coefficient_si(c
, type1
, pos1
, 1);
12007 c
= isl_constraint_set_coefficient_si(c
, type2
, pos2
, -1);
12012 /* Add a constraint imposing that the value of the first dimension is
12013 * greater than or equal to that of the second.
12015 __isl_give isl_basic_map
*isl_basic_map_order_ge(__isl_take isl_basic_map
*bmap
,
12016 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
12021 if (type1
== type2
&& pos1
== pos2
)
12023 space
= isl_basic_map_get_space(bmap
);
12024 c
= constraint_order_ge(space
, type1
, pos1
, type2
, pos2
);
12025 bmap
= isl_basic_map_add_constraint(bmap
, c
);
12030 /* Add a constraint imposing that the value of the first dimension is
12031 * greater than or equal to that of the second.
12033 __isl_give isl_map
*isl_map_order_ge(__isl_take isl_map
*map
,
12034 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
12039 if (type1
== type2
&& pos1
== pos2
)
12041 space
= isl_map_get_space(map
);
12042 c
= constraint_order_ge(space
, type1
, pos1
, type2
, pos2
);
12043 map
= isl_map_add_constraint(map
, c
);
12048 /* Add a constraint imposing that the value of the first dimension is
12049 * less than or equal to that of the second.
12051 __isl_give isl_map
*isl_map_order_le(__isl_take isl_map
*map
,
12052 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
12054 return isl_map_order_ge(map
, type2
, pos2
, type1
, pos1
);
12057 /* Construct a basic map where the value of the first dimension is
12058 * greater than that of the second.
12060 static __isl_give isl_basic_map
*greator(__isl_take isl_space
*space
,
12061 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
12063 isl_basic_map
*bmap
= NULL
;
12069 if (pos1
>= isl_space_dim(space
, type1
))
12070 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
12071 "index out of bounds", goto error
);
12072 if (pos2
>= isl_space_dim(space
, type2
))
12073 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
12074 "index out of bounds", goto error
);
12076 if (type1
== type2
&& pos1
== pos2
)
12077 return isl_basic_map_empty(space
);
12079 bmap
= isl_basic_map_alloc_space(space
, 0, 0, 1);
12080 i
= isl_basic_map_alloc_inequality(bmap
);
12082 return isl_basic_map_free(bmap
);
12083 isl_seq_clr(bmap
->ineq
[i
], 1 + isl_basic_map_total_dim(bmap
));
12084 pos1
+= isl_basic_map_offset(bmap
, type1
);
12085 pos2
+= isl_basic_map_offset(bmap
, type2
);
12086 isl_int_set_si(bmap
->ineq
[i
][pos1
], 1);
12087 isl_int_set_si(bmap
->ineq
[i
][pos2
], -1);
12088 isl_int_set_si(bmap
->ineq
[i
][0], -1);
12089 bmap
= isl_basic_map_finalize(bmap
);
12093 isl_space_free(space
);
12094 isl_basic_map_free(bmap
);
12098 /* Add a constraint imposing that the value of the first dimension is
12099 * greater than that of the second.
12101 __isl_give isl_basic_map
*isl_basic_map_order_gt(__isl_take isl_basic_map
*bmap
,
12102 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
12106 gt
= greator(isl_basic_map_get_space(bmap
), type1
, pos1
, type2
, pos2
);
12108 bmap
= isl_basic_map_intersect(bmap
, gt
);
12113 /* Add a constraint imposing that the value of the first dimension is
12114 * greater than that of the second.
12116 __isl_give isl_map
*isl_map_order_gt(__isl_take isl_map
*map
,
12117 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
12119 isl_basic_map
*bmap
;
12121 bmap
= greator(isl_map_get_space(map
), type1
, pos1
, type2
, pos2
);
12123 map
= isl_map_intersect(map
, isl_map_from_basic_map(bmap
));
12128 /* Add a constraint imposing that the value of the first dimension is
12129 * smaller than that of the second.
12131 __isl_give isl_map
*isl_map_order_lt(__isl_take isl_map
*map
,
12132 enum isl_dim_type type1
, int pos1
, enum isl_dim_type type2
, int pos2
)
12134 return isl_map_order_gt(map
, type2
, pos2
, type1
, pos1
);
12137 __isl_give isl_aff
*isl_basic_map_get_div(__isl_keep isl_basic_map
*bmap
,
12141 isl_local_space
*ls
;
12146 if (!isl_basic_map_divs_known(bmap
))
12147 isl_die(isl_basic_map_get_ctx(bmap
), isl_error_invalid
,
12148 "some divs are unknown", return NULL
);
12150 ls
= isl_basic_map_get_local_space(bmap
);
12151 div
= isl_local_space_get_div(ls
, pos
);
12152 isl_local_space_free(ls
);
12157 __isl_give isl_aff
*isl_basic_set_get_div(__isl_keep isl_basic_set
*bset
,
12160 return isl_basic_map_get_div(bset
, pos
);
12163 /* Plug in "subs" for dimension "type", "pos" of "bset".
12165 * Let i be the dimension to replace and let "subs" be of the form
12169 * Any integer division with a non-zero coefficient for i,
12171 * floor((a i + g)/m)
12175 * floor((a f + d g)/(m d))
12177 * Constraints of the form
12185 * We currently require that "subs" is an integral expression.
12186 * Handling rational expressions may require us to add stride constraints
12187 * as we do in isl_basic_set_preimage_multi_aff.
12189 __isl_give isl_basic_set
*isl_basic_set_substitute(
12190 __isl_take isl_basic_set
*bset
,
12191 enum isl_dim_type type
, unsigned pos
, __isl_keep isl_aff
*subs
)
12197 if (bset
&& isl_basic_set_plain_is_empty(bset
))
12200 bset
= isl_basic_set_cow(bset
);
12201 if (!bset
|| !subs
)
12204 ctx
= isl_basic_set_get_ctx(bset
);
12205 if (!isl_space_is_equal(bset
->dim
, subs
->ls
->dim
))
12206 isl_die(ctx
, isl_error_invalid
,
12207 "spaces don't match", goto error
);
12208 if (isl_local_space_dim(subs
->ls
, isl_dim_div
) != 0)
12209 isl_die(ctx
, isl_error_unsupported
,
12210 "cannot handle divs yet", goto error
);
12211 if (!isl_int_is_one(subs
->v
->el
[0]))
12212 isl_die(ctx
, isl_error_invalid
,
12213 "can only substitute integer expressions", goto error
);
12215 pos
+= isl_basic_set_offset(bset
, type
);
12219 for (i
= 0; i
< bset
->n_eq
; ++i
) {
12220 if (isl_int_is_zero(bset
->eq
[i
][pos
]))
12222 isl_int_set(v
, bset
->eq
[i
][pos
]);
12223 isl_int_set_si(bset
->eq
[i
][pos
], 0);
12224 isl_seq_combine(bset
->eq
[i
], subs
->v
->el
[0], bset
->eq
[i
],
12225 v
, subs
->v
->el
+ 1, subs
->v
->size
- 1);
12228 for (i
= 0; i
< bset
->n_ineq
; ++i
) {
12229 if (isl_int_is_zero(bset
->ineq
[i
][pos
]))
12231 isl_int_set(v
, bset
->ineq
[i
][pos
]);
12232 isl_int_set_si(bset
->ineq
[i
][pos
], 0);
12233 isl_seq_combine(bset
->ineq
[i
], subs
->v
->el
[0], bset
->ineq
[i
],
12234 v
, subs
->v
->el
+ 1, subs
->v
->size
- 1);
12237 for (i
= 0; i
< bset
->n_div
; ++i
) {
12238 if (isl_int_is_zero(bset
->div
[i
][1 + pos
]))
12240 isl_int_set(v
, bset
->div
[i
][1 + pos
]);
12241 isl_int_set_si(bset
->div
[i
][1 + pos
], 0);
12242 isl_seq_combine(bset
->div
[i
] + 1,
12243 subs
->v
->el
[0], bset
->div
[i
] + 1,
12244 v
, subs
->v
->el
+ 1, subs
->v
->size
- 1);
12245 isl_int_mul(bset
->div
[i
][0], bset
->div
[i
][0], subs
->v
->el
[0]);
12250 bset
= isl_basic_set_simplify(bset
);
12251 return isl_basic_set_finalize(bset
);
12253 isl_basic_set_free(bset
);
12257 /* Plug in "subs" for dimension "type", "pos" of "set".
12259 __isl_give isl_set
*isl_set_substitute(__isl_take isl_set
*set
,
12260 enum isl_dim_type type
, unsigned pos
, __isl_keep isl_aff
*subs
)
12264 if (set
&& isl_set_plain_is_empty(set
))
12267 set
= isl_set_cow(set
);
12271 for (i
= set
->n
- 1; i
>= 0; --i
) {
12272 set
->p
[i
] = isl_basic_set_substitute(set
->p
[i
], type
, pos
, subs
);
12273 if (remove_if_empty(set
, i
) < 0)
12283 /* Check if the range of "ma" is compatible with the domain or range
12284 * (depending on "type") of "bmap".
12286 static isl_stat
check_basic_map_compatible_range_multi_aff(
12287 __isl_keep isl_basic_map
*bmap
, enum isl_dim_type type
,
12288 __isl_keep isl_multi_aff
*ma
)
12291 isl_space
*ma_space
;
12293 ma_space
= isl_multi_aff_get_space(ma
);
12295 m
= isl_space_match(bmap
->dim
, isl_dim_param
, ma_space
, isl_dim_param
);
12299 isl_die(isl_basic_map_get_ctx(bmap
), isl_error_invalid
,
12300 "parameters don't match", goto error
);
12301 m
= isl_space_tuple_is_equal(bmap
->dim
, type
, ma_space
, isl_dim_out
);
12305 isl_die(isl_basic_map_get_ctx(bmap
), isl_error_invalid
,
12306 "spaces don't match", goto error
);
12308 isl_space_free(ma_space
);
12309 return isl_stat_ok
;
12311 isl_space_free(ma_space
);
12312 return isl_stat_error
;
12315 /* Copy the divs from "ma" to "bmap", adding zeros for the "n_before"
12316 * coefficients before the transformed range of dimensions,
12317 * the "n_after" coefficients after the transformed range of dimensions
12318 * and the coefficients of the other divs in "bmap".
12320 static int set_ma_divs(__isl_keep isl_basic_map
*bmap
,
12321 __isl_keep isl_multi_aff
*ma
, int n_before
, int n_after
, int n_div
)
12326 isl_local_space
*ls
;
12331 ls
= isl_aff_get_domain_local_space(ma
->p
[0]);
12335 n_param
= isl_local_space_dim(ls
, isl_dim_param
);
12336 n_set
= isl_local_space_dim(ls
, isl_dim_set
);
12337 for (i
= 0; i
< n_div
; ++i
) {
12338 int o_bmap
= 0, o_ls
= 0;
12340 isl_seq_cpy(bmap
->div
[i
], ls
->div
->row
[i
], 1 + 1 + n_param
);
12341 o_bmap
+= 1 + 1 + n_param
;
12342 o_ls
+= 1 + 1 + n_param
;
12343 isl_seq_clr(bmap
->div
[i
] + o_bmap
, n_before
);
12344 o_bmap
+= n_before
;
12345 isl_seq_cpy(bmap
->div
[i
] + o_bmap
,
12346 ls
->div
->row
[i
] + o_ls
, n_set
);
12349 isl_seq_clr(bmap
->div
[i
] + o_bmap
, n_after
);
12351 isl_seq_cpy(bmap
->div
[i
] + o_bmap
,
12352 ls
->div
->row
[i
] + o_ls
, n_div
);
12355 isl_seq_clr(bmap
->div
[i
] + o_bmap
, bmap
->n_div
- n_div
);
12356 if (isl_basic_map_add_div_constraints(bmap
, i
) < 0)
12360 isl_local_space_free(ls
);
12363 isl_local_space_free(ls
);
12367 /* How many stride constraints does "ma" enforce?
12368 * That is, how many of the affine expressions have a denominator
12369 * different from one?
12371 static int multi_aff_strides(__isl_keep isl_multi_aff
*ma
)
12376 for (i
= 0; i
< ma
->n
; ++i
)
12377 if (!isl_int_is_one(ma
->p
[i
]->v
->el
[0]))
12383 /* For each affine expression in ma of the form
12385 * x_i = (f_i y + h_i)/m_i
12387 * with m_i different from one, add a constraint to "bmap"
12390 * f_i y + h_i = m_i alpha_i
12392 * with alpha_i an additional existentially quantified variable.
12394 * The input variables of "ma" correspond to a subset of the variables
12395 * of "bmap". There are "n_before" variables in "bmap" before this
12396 * subset and "n_after" variables after this subset.
12397 * The integer divisions of the affine expressions in "ma" are assumed
12398 * to have been aligned. There are "n_div_ma" of them and
12399 * they appear first in "bmap", straight after the "n_after" variables.
12401 static __isl_give isl_basic_map
*add_ma_strides(
12402 __isl_take isl_basic_map
*bmap
, __isl_keep isl_multi_aff
*ma
,
12403 int n_before
, int n_after
, int n_div_ma
)
12411 total
= isl_basic_map_total_dim(bmap
);
12412 n_param
= isl_multi_aff_dim(ma
, isl_dim_param
);
12413 n_in
= isl_multi_aff_dim(ma
, isl_dim_in
);
12414 for (i
= 0; i
< ma
->n
; ++i
) {
12415 int o_bmap
= 0, o_ma
= 1;
12417 if (isl_int_is_one(ma
->p
[i
]->v
->el
[0]))
12419 div
= isl_basic_map_alloc_div(bmap
);
12420 k
= isl_basic_map_alloc_equality(bmap
);
12421 if (div
< 0 || k
< 0)
12423 isl_int_set_si(bmap
->div
[div
][0], 0);
12424 isl_seq_cpy(bmap
->eq
[k
] + o_bmap
,
12425 ma
->p
[i
]->v
->el
+ o_ma
, 1 + n_param
);
12426 o_bmap
+= 1 + n_param
;
12427 o_ma
+= 1 + n_param
;
12428 isl_seq_clr(bmap
->eq
[k
] + o_bmap
, n_before
);
12429 o_bmap
+= n_before
;
12430 isl_seq_cpy(bmap
->eq
[k
] + o_bmap
,
12431 ma
->p
[i
]->v
->el
+ o_ma
, n_in
);
12434 isl_seq_clr(bmap
->eq
[k
] + o_bmap
, n_after
);
12436 isl_seq_cpy(bmap
->eq
[k
] + o_bmap
,
12437 ma
->p
[i
]->v
->el
+ o_ma
, n_div_ma
);
12438 o_bmap
+= n_div_ma
;
12440 isl_seq_clr(bmap
->eq
[k
] + o_bmap
, 1 + total
- o_bmap
);
12441 isl_int_neg(bmap
->eq
[k
][1 + total
], ma
->p
[i
]->v
->el
[0]);
12447 isl_basic_map_free(bmap
);
12451 /* Replace the domain or range space (depending on "type) of "space" by "set".
12453 static __isl_give isl_space
*isl_space_set(__isl_take isl_space
*space
,
12454 enum isl_dim_type type
, __isl_take isl_space
*set
)
12456 if (type
== isl_dim_in
) {
12457 space
= isl_space_range(space
);
12458 space
= isl_space_map_from_domain_and_range(set
, space
);
12460 space
= isl_space_domain(space
);
12461 space
= isl_space_map_from_domain_and_range(space
, set
);
12467 /* Compute the preimage of the domain or range (depending on "type")
12468 * of "bmap" under the function represented by "ma".
12469 * In other words, plug in "ma" in the domain or range of "bmap".
12470 * The result is a basic map that lives in the same space as "bmap"
12471 * except that the domain or range has been replaced by
12472 * the domain space of "ma".
12474 * If bmap is represented by
12476 * A(p) + S u + B x + T v + C(divs) >= 0,
12478 * where u and x are input and output dimensions if type == isl_dim_out
12479 * while x and v are input and output dimensions if type == isl_dim_in,
12480 * and ma is represented by
12482 * x = D(p) + F(y) + G(divs')
12484 * then the result is
12486 * A(p) + B D(p) + S u + B F(y) + T v + B G(divs') + C(divs) >= 0
12488 * The divs in the input set are similarly adjusted.
12491 * floor((a_i(p) + s u + b_i x + t v + c_i(divs))/n_i)
12495 * floor((a_i(p) + b_i D(p) + s u + b_i F(y) + t v +
12496 * B_i G(divs') + c_i(divs))/n_i)
12498 * If bmap is not a rational map and if F(y) involves any denominators
12500 * x_i = (f_i y + h_i)/m_i
12502 * then additional constraints are added to ensure that we only
12503 * map back integer points. That is we enforce
12505 * f_i y + h_i = m_i alpha_i
12507 * with alpha_i an additional existentially quantified variable.
12509 * We first copy over the divs from "ma".
12510 * Then we add the modified constraints and divs from "bmap".
12511 * Finally, we add the stride constraints, if needed.
12513 __isl_give isl_basic_map
*isl_basic_map_preimage_multi_aff(
12514 __isl_take isl_basic_map
*bmap
, enum isl_dim_type type
,
12515 __isl_take isl_multi_aff
*ma
)
12519 isl_basic_map
*res
= NULL
;
12520 int n_before
, n_after
, n_div_bmap
, n_div_ma
;
12521 isl_int f
, c1
, c2
, g
;
12530 ma
= isl_multi_aff_align_divs(ma
);
12533 if (check_basic_map_compatible_range_multi_aff(bmap
, type
, ma
) < 0)
12536 if (type
== isl_dim_in
) {
12538 n_after
= isl_basic_map_dim(bmap
, isl_dim_out
);
12540 n_before
= isl_basic_map_dim(bmap
, isl_dim_in
);
12543 n_div_bmap
= isl_basic_map_dim(bmap
, isl_dim_div
);
12544 n_div_ma
= ma
->n
? isl_aff_dim(ma
->p
[0], isl_dim_div
) : 0;
12546 space
= isl_multi_aff_get_domain_space(ma
);
12547 space
= isl_space_set(isl_basic_map_get_space(bmap
), type
, space
);
12548 rational
= isl_basic_map_is_rational(bmap
);
12549 strides
= rational
? 0 : multi_aff_strides(ma
);
12550 res
= isl_basic_map_alloc_space(space
, n_div_ma
+ n_div_bmap
+ strides
,
12551 bmap
->n_eq
+ strides
, bmap
->n_ineq
+ 2 * n_div_ma
);
12553 res
= isl_basic_map_set_rational(res
);
12555 for (i
= 0; i
< n_div_ma
+ n_div_bmap
; ++i
)
12556 if (isl_basic_map_alloc_div(res
) < 0)
12559 if (set_ma_divs(res
, ma
, n_before
, n_after
, n_div_ma
) < 0)
12562 for (i
= 0; i
< bmap
->n_eq
; ++i
) {
12563 k
= isl_basic_map_alloc_equality(res
);
12566 isl_seq_preimage(res
->eq
[k
], bmap
->eq
[i
], ma
, n_before
,
12567 n_after
, n_div_ma
, n_div_bmap
, f
, c1
, c2
, g
, 0);
12570 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
12571 k
= isl_basic_map_alloc_inequality(res
);
12574 isl_seq_preimage(res
->ineq
[k
], bmap
->ineq
[i
], ma
, n_before
,
12575 n_after
, n_div_ma
, n_div_bmap
, f
, c1
, c2
, g
, 0);
12578 for (i
= 0; i
< bmap
->n_div
; ++i
) {
12579 if (isl_int_is_zero(bmap
->div
[i
][0])) {
12580 isl_int_set_si(res
->div
[n_div_ma
+ i
][0], 0);
12583 isl_seq_preimage(res
->div
[n_div_ma
+ i
], bmap
->div
[i
], ma
,
12584 n_before
, n_after
, n_div_ma
, n_div_bmap
,
12589 res
= add_ma_strides(res
, ma
, n_before
, n_after
, n_div_ma
);
12595 isl_basic_map_free(bmap
);
12596 isl_multi_aff_free(ma
);
12597 res
= isl_basic_map_simplify(res
);
12598 return isl_basic_map_finalize(res
);
12604 isl_basic_map_free(bmap
);
12605 isl_multi_aff_free(ma
);
12606 isl_basic_map_free(res
);
12610 /* Compute the preimage of "bset" under the function represented by "ma".
12611 * In other words, plug in "ma" in "bset". The result is a basic set
12612 * that lives in the domain space of "ma".
12614 __isl_give isl_basic_set
*isl_basic_set_preimage_multi_aff(
12615 __isl_take isl_basic_set
*bset
, __isl_take isl_multi_aff
*ma
)
12617 return isl_basic_map_preimage_multi_aff(bset
, isl_dim_set
, ma
);
12620 /* Compute the preimage of the domain of "bmap" under the function
12621 * represented by "ma".
12622 * In other words, plug in "ma" in the domain of "bmap".
12623 * The result is a basic map that lives in the same space as "bmap"
12624 * except that the domain has been replaced by the domain space of "ma".
12626 __isl_give isl_basic_map
*isl_basic_map_preimage_domain_multi_aff(
12627 __isl_take isl_basic_map
*bmap
, __isl_take isl_multi_aff
*ma
)
12629 return isl_basic_map_preimage_multi_aff(bmap
, isl_dim_in
, ma
);
12632 /* Compute the preimage of the range of "bmap" under the function
12633 * represented by "ma".
12634 * In other words, plug in "ma" in the range of "bmap".
12635 * The result is a basic map that lives in the same space as "bmap"
12636 * except that the range has been replaced by the domain space of "ma".
12638 __isl_give isl_basic_map
*isl_basic_map_preimage_range_multi_aff(
12639 __isl_take isl_basic_map
*bmap
, __isl_take isl_multi_aff
*ma
)
12641 return isl_basic_map_preimage_multi_aff(bmap
, isl_dim_out
, ma
);
12644 /* Check if the range of "ma" is compatible with the domain or range
12645 * (depending on "type") of "map".
12646 * Return isl_stat_error if anything is wrong.
12648 static isl_stat
check_map_compatible_range_multi_aff(
12649 __isl_keep isl_map
*map
, enum isl_dim_type type
,
12650 __isl_keep isl_multi_aff
*ma
)
12653 isl_space
*ma_space
;
12655 ma_space
= isl_multi_aff_get_space(ma
);
12656 m
= isl_space_tuple_is_equal(map
->dim
, type
, ma_space
, isl_dim_out
);
12657 isl_space_free(ma_space
);
12659 return isl_stat_error
;
12661 isl_die(isl_map_get_ctx(map
), isl_error_invalid
,
12662 "spaces don't match", return isl_stat_error
);
12663 return isl_stat_ok
;
12666 /* Compute the preimage of the domain or range (depending on "type")
12667 * of "map" under the function represented by "ma".
12668 * In other words, plug in "ma" in the domain or range of "map".
12669 * The result is a map that lives in the same space as "map"
12670 * except that the domain or range has been replaced by
12671 * the domain space of "ma".
12673 * The parameters are assumed to have been aligned.
12675 static __isl_give isl_map
*map_preimage_multi_aff(__isl_take isl_map
*map
,
12676 enum isl_dim_type type
, __isl_take isl_multi_aff
*ma
)
12681 map
= isl_map_cow(map
);
12682 ma
= isl_multi_aff_align_divs(ma
);
12685 if (check_map_compatible_range_multi_aff(map
, type
, ma
) < 0)
12688 for (i
= 0; i
< map
->n
; ++i
) {
12689 map
->p
[i
] = isl_basic_map_preimage_multi_aff(map
->p
[i
], type
,
12690 isl_multi_aff_copy(ma
));
12695 space
= isl_multi_aff_get_domain_space(ma
);
12696 space
= isl_space_set(isl_map_get_space(map
), type
, space
);
12698 isl_space_free(map
->dim
);
12703 isl_multi_aff_free(ma
);
12705 ISL_F_CLR(map
, ISL_MAP_DISJOINT
);
12706 ISL_F_CLR(map
, ISL_SET_NORMALIZED
);
12709 isl_multi_aff_free(ma
);
12714 /* Compute the preimage of the domain or range (depending on "type")
12715 * of "map" under the function represented by "ma".
12716 * In other words, plug in "ma" in the domain or range of "map".
12717 * The result is a map that lives in the same space as "map"
12718 * except that the domain or range has been replaced by
12719 * the domain space of "ma".
12721 __isl_give isl_map
*isl_map_preimage_multi_aff(__isl_take isl_map
*map
,
12722 enum isl_dim_type type
, __isl_take isl_multi_aff
*ma
)
12727 if (isl_space_match(map
->dim
, isl_dim_param
, ma
->space
, isl_dim_param
))
12728 return map_preimage_multi_aff(map
, type
, ma
);
12730 if (!isl_space_has_named_params(map
->dim
) ||
12731 !isl_space_has_named_params(ma
->space
))
12732 isl_die(map
->ctx
, isl_error_invalid
,
12733 "unaligned unnamed parameters", goto error
);
12734 map
= isl_map_align_params(map
, isl_multi_aff_get_space(ma
));
12735 ma
= isl_multi_aff_align_params(ma
, isl_map_get_space(map
));
12737 return map_preimage_multi_aff(map
, type
, ma
);
12739 isl_multi_aff_free(ma
);
12740 return isl_map_free(map
);
12743 /* Compute the preimage of "set" under the function represented by "ma".
12744 * In other words, plug in "ma" in "set". The result is a set
12745 * that lives in the domain space of "ma".
12747 __isl_give isl_set
*isl_set_preimage_multi_aff(__isl_take isl_set
*set
,
12748 __isl_take isl_multi_aff
*ma
)
12750 return isl_map_preimage_multi_aff(set
, isl_dim_set
, ma
);
12753 /* Compute the preimage of the domain of "map" under the function
12754 * represented by "ma".
12755 * In other words, plug in "ma" in the domain of "map".
12756 * The result is a map that lives in the same space as "map"
12757 * except that the domain has been replaced by the domain space of "ma".
12759 __isl_give isl_map
*isl_map_preimage_domain_multi_aff(__isl_take isl_map
*map
,
12760 __isl_take isl_multi_aff
*ma
)
12762 return isl_map_preimage_multi_aff(map
, isl_dim_in
, ma
);
12765 /* Compute the preimage of the range of "map" under the function
12766 * represented by "ma".
12767 * In other words, plug in "ma" in the range of "map".
12768 * The result is a map that lives in the same space as "map"
12769 * except that the range has been replaced by the domain space of "ma".
12771 __isl_give isl_map
*isl_map_preimage_range_multi_aff(__isl_take isl_map
*map
,
12772 __isl_take isl_multi_aff
*ma
)
12774 return isl_map_preimage_multi_aff(map
, isl_dim_out
, ma
);
12777 /* Compute the preimage of "map" under the function represented by "pma".
12778 * In other words, plug in "pma" in the domain or range of "map".
12779 * The result is a map that lives in the same space as "map",
12780 * except that the space of type "type" has been replaced by
12781 * the domain space of "pma".
12783 * The parameters of "map" and "pma" are assumed to have been aligned.
12785 static __isl_give isl_map
*isl_map_preimage_pw_multi_aff_aligned(
12786 __isl_take isl_map
*map
, enum isl_dim_type type
,
12787 __isl_take isl_pw_multi_aff
*pma
)
12796 isl_pw_multi_aff_free(pma
);
12797 res
= isl_map_empty(isl_map_get_space(map
));
12802 res
= isl_map_preimage_multi_aff(isl_map_copy(map
), type
,
12803 isl_multi_aff_copy(pma
->p
[0].maff
));
12804 if (type
== isl_dim_in
)
12805 res
= isl_map_intersect_domain(res
,
12806 isl_map_copy(pma
->p
[0].set
));
12808 res
= isl_map_intersect_range(res
,
12809 isl_map_copy(pma
->p
[0].set
));
12811 for (i
= 1; i
< pma
->n
; ++i
) {
12814 res_i
= isl_map_preimage_multi_aff(isl_map_copy(map
), type
,
12815 isl_multi_aff_copy(pma
->p
[i
].maff
));
12816 if (type
== isl_dim_in
)
12817 res_i
= isl_map_intersect_domain(res_i
,
12818 isl_map_copy(pma
->p
[i
].set
));
12820 res_i
= isl_map_intersect_range(res_i
,
12821 isl_map_copy(pma
->p
[i
].set
));
12822 res
= isl_map_union(res
, res_i
);
12825 isl_pw_multi_aff_free(pma
);
12829 isl_pw_multi_aff_free(pma
);
12834 /* Compute the preimage of "map" under the function represented by "pma".
12835 * In other words, plug in "pma" in the domain or range of "map".
12836 * The result is a map that lives in the same space as "map",
12837 * except that the space of type "type" has been replaced by
12838 * the domain space of "pma".
12840 __isl_give isl_map
*isl_map_preimage_pw_multi_aff(__isl_take isl_map
*map
,
12841 enum isl_dim_type type
, __isl_take isl_pw_multi_aff
*pma
)
12846 if (isl_space_match(map
->dim
, isl_dim_param
, pma
->dim
, isl_dim_param
))
12847 return isl_map_preimage_pw_multi_aff_aligned(map
, type
, pma
);
12849 if (!isl_space_has_named_params(map
->dim
) ||
12850 !isl_space_has_named_params(pma
->dim
))
12851 isl_die(map
->ctx
, isl_error_invalid
,
12852 "unaligned unnamed parameters", goto error
);
12853 map
= isl_map_align_params(map
, isl_pw_multi_aff_get_space(pma
));
12854 pma
= isl_pw_multi_aff_align_params(pma
, isl_map_get_space(map
));
12856 return isl_map_preimage_pw_multi_aff_aligned(map
, type
, pma
);
12858 isl_pw_multi_aff_free(pma
);
12859 return isl_map_free(map
);
12862 /* Compute the preimage of "set" under the function represented by "pma".
12863 * In other words, plug in "pma" in "set". The result is a set
12864 * that lives in the domain space of "pma".
12866 __isl_give isl_set
*isl_set_preimage_pw_multi_aff(__isl_take isl_set
*set
,
12867 __isl_take isl_pw_multi_aff
*pma
)
12869 return isl_map_preimage_pw_multi_aff(set
, isl_dim_set
, pma
);
12872 /* Compute the preimage of the domain of "map" under the function
12873 * represented by "pma".
12874 * In other words, plug in "pma" in the domain of "map".
12875 * The result is a map that lives in the same space as "map",
12876 * except that domain space has been replaced by the domain space of "pma".
12878 __isl_give isl_map
*isl_map_preimage_domain_pw_multi_aff(
12879 __isl_take isl_map
*map
, __isl_take isl_pw_multi_aff
*pma
)
12881 return isl_map_preimage_pw_multi_aff(map
, isl_dim_in
, pma
);
12884 /* Compute the preimage of the range of "map" under the function
12885 * represented by "pma".
12886 * In other words, plug in "pma" in the range of "map".
12887 * The result is a map that lives in the same space as "map",
12888 * except that range space has been replaced by the domain space of "pma".
12890 __isl_give isl_map
*isl_map_preimage_range_pw_multi_aff(
12891 __isl_take isl_map
*map
, __isl_take isl_pw_multi_aff
*pma
)
12893 return isl_map_preimage_pw_multi_aff(map
, isl_dim_out
, pma
);
12896 /* Compute the preimage of "map" under the function represented by "mpa".
12897 * In other words, plug in "mpa" in the domain or range of "map".
12898 * The result is a map that lives in the same space as "map",
12899 * except that the space of type "type" has been replaced by
12900 * the domain space of "mpa".
12902 * If the map does not involve any constraints that refer to the
12903 * dimensions of the substituted space, then the only possible
12904 * effect of "mpa" on the map is to map the space to a different space.
12905 * We create a separate isl_multi_aff to effectuate this change
12906 * in order to avoid spurious splitting of the map along the pieces
12909 __isl_give isl_map
*isl_map_preimage_multi_pw_aff(__isl_take isl_map
*map
,
12910 enum isl_dim_type type
, __isl_take isl_multi_pw_aff
*mpa
)
12913 isl_pw_multi_aff
*pma
;
12918 n
= isl_map_dim(map
, type
);
12919 if (!isl_map_involves_dims(map
, type
, 0, n
)) {
12923 space
= isl_multi_pw_aff_get_space(mpa
);
12924 isl_multi_pw_aff_free(mpa
);
12925 ma
= isl_multi_aff_zero(space
);
12926 return isl_map_preimage_multi_aff(map
, type
, ma
);
12929 pma
= isl_pw_multi_aff_from_multi_pw_aff(mpa
);
12930 return isl_map_preimage_pw_multi_aff(map
, type
, pma
);
12933 isl_multi_pw_aff_free(mpa
);
12937 /* Compute the preimage of "map" under the function represented by "mpa".
12938 * In other words, plug in "mpa" in the domain "map".
12939 * The result is a map that lives in the same space as "map",
12940 * except that domain space has been replaced by the domain space of "mpa".
12942 __isl_give isl_map
*isl_map_preimage_domain_multi_pw_aff(
12943 __isl_take isl_map
*map
, __isl_take isl_multi_pw_aff
*mpa
)
12945 return isl_map_preimage_multi_pw_aff(map
, isl_dim_in
, mpa
);
12948 /* Compute the preimage of "set" by the function represented by "mpa".
12949 * In other words, plug in "mpa" in "set".
12951 __isl_give isl_set
*isl_set_preimage_multi_pw_aff(__isl_take isl_set
*set
,
12952 __isl_take isl_multi_pw_aff
*mpa
)
12954 return isl_map_preimage_multi_pw_aff(set
, isl_dim_set
, mpa
);
12957 /* Are the "n" "coefficients" starting at "first" of the integer division
12958 * expressions at position "pos1" in "bmap1" and "pos2" in "bmap2" equal
12960 * The "coefficient" at position 0 is the denominator.
12961 * The "coefficient" at position 1 is the constant term.
12963 isl_bool
isl_basic_map_equal_div_expr_part(__isl_keep isl_basic_map
*bmap1
,
12964 int pos1
, __isl_keep isl_basic_map
*bmap2
, int pos2
,
12965 unsigned first
, unsigned n
)
12967 if (isl_basic_map_check_range(bmap1
, isl_dim_div
, pos1
, 1) < 0)
12968 return isl_bool_error
;
12969 if (isl_basic_map_check_range(bmap2
, isl_dim_div
, pos2
, 1) < 0)
12970 return isl_bool_error
;
12971 return isl_seq_eq(bmap1
->div
[pos1
] + first
,
12972 bmap2
->div
[pos2
] + first
, n
);
12975 /* Are the integer division expressions at position "pos1" in "bmap1" and
12976 * "pos2" in "bmap2" equal to each other, except that the constant terms
12979 isl_bool
isl_basic_map_equal_div_expr_except_constant(
12980 __isl_keep isl_basic_map
*bmap1
, int pos1
,
12981 __isl_keep isl_basic_map
*bmap2
, int pos2
)
12986 if (!bmap1
|| !bmap2
)
12987 return isl_bool_error
;
12988 total
= isl_basic_map_total_dim(bmap1
);
12989 if (total
!= isl_basic_map_total_dim(bmap2
))
12990 isl_die(isl_basic_map_get_ctx(bmap1
), isl_error_invalid
,
12991 "incomparable div expressions", return isl_bool_error
);
12992 equal
= isl_basic_map_equal_div_expr_part(bmap1
, pos1
, bmap2
, pos2
,
12994 if (equal
< 0 || !equal
)
12996 equal
= isl_basic_map_equal_div_expr_part(bmap1
, pos1
, bmap2
, pos2
,
12998 if (equal
< 0 || equal
)
12999 return isl_bool_not(equal
);
13000 return isl_basic_map_equal_div_expr_part(bmap1
, pos1
, bmap2
, pos2
,
13004 /* Replace the numerator of the constant term of the integer division
13005 * expression at position "div" in "bmap" by "value".
13006 * The caller guarantees that this does not change the meaning
13009 __isl_give isl_basic_map
*isl_basic_map_set_div_expr_constant_num_si_inplace(
13010 __isl_take isl_basic_map
*bmap
, int div
, int value
)
13012 if (isl_basic_map_check_range(bmap
, isl_dim_div
, div
, 1) < 0)
13013 return isl_basic_map_free(bmap
);
13015 isl_int_set_si(bmap
->div
[div
][1], value
);
13020 /* Is the point "inner" internal to inequality constraint "ineq"
13022 * The point is considered to be internal to the inequality constraint,
13023 * if it strictly lies on the positive side of the inequality constraint,
13024 * or if it lies on the constraint and the constraint is lexico-positive.
13026 static isl_bool
is_internal(__isl_keep isl_vec
*inner
,
13027 __isl_keep isl_basic_set
*bset
, int ineq
)
13033 if (!inner
|| !bset
)
13034 return isl_bool_error
;
13036 ctx
= isl_basic_set_get_ctx(bset
);
13037 isl_seq_inner_product(inner
->el
, bset
->ineq
[ineq
], inner
->size
,
13038 &ctx
->normalize_gcd
);
13039 if (!isl_int_is_zero(ctx
->normalize_gcd
))
13040 return isl_int_is_nonneg(ctx
->normalize_gcd
);
13042 total
= isl_basic_set_dim(bset
, isl_dim_all
);
13043 pos
= isl_seq_first_non_zero(bset
->ineq
[ineq
] + 1, total
);
13044 return isl_int_is_pos(bset
->ineq
[ineq
][1 + pos
]);
13047 /* Tighten the inequality constraints of "bset" that are outward with respect
13048 * to the point "vec".
13049 * That is, tighten the constraints that are not satisfied by "vec".
13051 * "vec" is a point internal to some superset S of "bset" that is used
13052 * to make the subsets of S disjoint, by tightening one half of the constraints
13053 * that separate two subsets. In particular, the constraints of S
13054 * are all satisfied by "vec" and should not be tightened.
13055 * Of the internal constraints, those that have "vec" on the outside
13056 * are tightened. The shared facet is included in the adjacent subset
13057 * with the opposite constraint.
13058 * For constraints that saturate "vec", this criterion cannot be used
13059 * to determine which of the two sides should be tightened.
13060 * Instead, the sign of the first non-zero coefficient is used
13061 * to make this choice. Note that this second criterion is never used
13062 * on the constraints of S since "vec" is interior to "S".
13064 __isl_give isl_basic_set
*isl_basic_set_tighten_outward(
13065 __isl_take isl_basic_set
*bset
, __isl_keep isl_vec
*vec
)
13069 bset
= isl_basic_set_cow(bset
);
13072 for (j
= 0; j
< bset
->n_ineq
; ++j
) {
13075 internal
= is_internal(vec
, bset
, j
);
13077 return isl_basic_set_free(bset
);
13080 isl_int_sub_ui(bset
->ineq
[j
][0], bset
->ineq
[j
][0], 1);