2 * Copyright 2008-2009 Katholieke Universiteit Leuven
3 * Copyright 2010 INRIA Saclay
5 * Use of this software is governed by the GNU LGPLv2.1 license
7 * Written by Sven Verdoolaege, K.U.Leuven, Departement
8 * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
9 * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
10 * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
18 #include "isl_equalities.h"
24 #include "isl_map_private.h"
25 #include "isl_map_piplib.h"
26 #include "isl_sample.h"
30 /* Maps dst positions to src positions */
36 static struct isl_dim_map
*isl_dim_map_alloc(struct isl_ctx
*ctx
, unsigned len
)
39 struct isl_dim_map
*dim_map
;
40 dim_map
= isl_alloc(ctx
, struct isl_dim_map
,
41 sizeof(struct isl_dim_map
) + len
* sizeof(int));
44 dim_map
->len
= 1 + len
;
46 for (i
= 0; i
< len
; ++i
)
47 dim_map
->pos
[1 + i
] = -1;
51 static unsigned n(struct isl_dim
*dim
, enum isl_dim_type type
)
54 case isl_dim_param
: return dim
->nparam
;
55 case isl_dim_in
: return dim
->n_in
;
56 case isl_dim_out
: return dim
->n_out
;
57 case isl_dim_all
: return dim
->nparam
+ dim
->n_in
+ dim
->n_out
;
61 static unsigned pos(struct isl_dim
*dim
, enum isl_dim_type type
)
64 case isl_dim_param
: return 1;
65 case isl_dim_in
: return 1 + dim
->nparam
;
66 case isl_dim_out
: return 1 + dim
->nparam
+ dim
->n_in
;
70 static void isl_dim_map_dim_range(struct isl_dim_map
*dim_map
,
71 struct isl_dim
*dim
, enum isl_dim_type type
,
72 unsigned first
, unsigned n
, unsigned dst_pos
)
80 src_pos
= pos(dim
, type
);
81 for (i
= 0; i
< n
; ++i
)
82 dim_map
->pos
[1 + dst_pos
+ i
] = src_pos
+ first
+ i
;
85 static void isl_dim_map_dim(struct isl_dim_map
*dim_map
, struct isl_dim
*dim
,
86 enum isl_dim_type type
, unsigned dst_pos
)
88 isl_dim_map_dim_range(dim_map
, dim
, type
, 0, n(dim
, type
), dst_pos
);
91 static void isl_dim_map_div(struct isl_dim_map
*dim_map
,
92 struct isl_basic_map
*bmap
, unsigned dst_pos
)
97 if (!dim_map
|| !bmap
)
100 src_pos
= 1 + isl_dim_total(bmap
->dim
);
101 for (i
= 0; i
< bmap
->n_div
; ++i
)
102 dim_map
->pos
[1 + dst_pos
+ i
] = src_pos
+ i
;
105 static void isl_dim_map_dump(struct isl_dim_map
*dim_map
)
109 for (i
= 0; i
< dim_map
->len
; ++i
)
110 fprintf(stderr
, "%d -> %d; ", i
, dim_map
->pos
[i
]);
111 fprintf(stderr
, "\n");
114 unsigned isl_basic_map_dim(const struct isl_basic_map
*bmap
,
115 enum isl_dim_type type
)
120 case isl_dim_out
: return isl_dim_size(bmap
->dim
, type
);
121 case isl_dim_div
: return bmap
->n_div
;
122 case isl_dim_all
: return isl_basic_map_total_dim(bmap
);
126 unsigned isl_map_dim(const struct isl_map
*map
, enum isl_dim_type type
)
128 return map
? n(map
->dim
, type
) : 0;
131 unsigned isl_set_dim(const struct isl_set
*set
, enum isl_dim_type type
)
133 return set
? n(set
->dim
, type
) : 0;
136 unsigned isl_basic_map_offset(struct isl_basic_map
*bmap
,
137 enum isl_dim_type type
)
139 struct isl_dim
*dim
= bmap
->dim
;
141 case isl_dim_param
: return 1;
142 case isl_dim_in
: return 1 + dim
->nparam
;
143 case isl_dim_out
: return 1 + dim
->nparam
+ dim
->n_in
;
144 case isl_dim_div
: return 1 + dim
->nparam
+ dim
->n_in
+ dim
->n_out
;
148 static unsigned map_offset(struct isl_map
*map
, enum isl_dim_type type
)
150 return pos(map
->dim
, type
);
153 unsigned isl_basic_set_dim(const struct isl_basic_set
*bset
,
154 enum isl_dim_type type
)
156 return isl_basic_map_dim((const struct isl_basic_map
*)bset
, type
);
159 unsigned isl_basic_set_n_dim(const struct isl_basic_set
*bset
)
161 return bset
->dim
->n_out
;
164 unsigned isl_basic_set_n_param(const struct isl_basic_set
*bset
)
166 return bset
->dim
->nparam
;
169 unsigned isl_basic_set_total_dim(const struct isl_basic_set
*bset
)
171 return isl_dim_total(bset
->dim
) + bset
->n_div
;
174 unsigned isl_set_n_dim(const struct isl_set
*set
)
176 return set
->dim
->n_out
;
179 unsigned isl_set_n_param(const struct isl_set
*set
)
181 return set
->dim
->nparam
;
184 unsigned isl_basic_map_n_in(const struct isl_basic_map
*bmap
)
186 return bmap
->dim
->n_in
;
189 unsigned isl_basic_map_n_out(const struct isl_basic_map
*bmap
)
191 return bmap
->dim
->n_out
;
194 unsigned isl_basic_map_n_param(const struct isl_basic_map
*bmap
)
196 return bmap
->dim
->nparam
;
199 unsigned isl_basic_map_n_div(const struct isl_basic_map
*bmap
)
204 unsigned isl_basic_map_total_dim(const struct isl_basic_map
*bmap
)
206 return isl_dim_total(bmap
->dim
) + bmap
->n_div
;
209 unsigned isl_map_n_in(const struct isl_map
*map
)
211 return map
->dim
->n_in
;
214 unsigned isl_map_n_out(const struct isl_map
*map
)
216 return map
->dim
->n_out
;
219 unsigned isl_map_n_param(const struct isl_map
*map
)
221 return map
->dim
->nparam
;
224 int isl_map_compatible_domain(struct isl_map
*map
, struct isl_set
*set
)
226 return map
->dim
->n_in
== set
->dim
->n_out
&&
227 map
->dim
->nparam
== set
->dim
->nparam
;
230 int isl_basic_map_compatible_domain(struct isl_basic_map
*bmap
,
231 struct isl_basic_set
*bset
)
233 return bmap
->dim
->n_in
== bset
->dim
->n_out
&&
234 bmap
->dim
->nparam
== bset
->dim
->nparam
;
237 int isl_basic_map_compatible_range(struct isl_basic_map
*bmap
,
238 struct isl_basic_set
*bset
)
240 return bmap
->dim
->n_out
== bset
->dim
->n_out
&&
241 bmap
->dim
->nparam
== bset
->dim
->nparam
;
244 struct isl_dim
*isl_basic_map_get_dim(struct isl_basic_map
*bmap
)
248 return isl_dim_copy(bmap
->dim
);
251 struct isl_dim
*isl_basic_set_get_dim(struct isl_basic_set
*bset
)
255 return isl_dim_copy(bset
->dim
);
258 struct isl_dim
*isl_map_get_dim(struct isl_map
*map
)
262 return isl_dim_copy(map
->dim
);
265 struct isl_dim
*isl_set_get_dim(struct isl_set
*set
)
269 return isl_dim_copy(set
->dim
);
272 static struct isl_basic_map
*basic_map_init(struct isl_ctx
*ctx
,
273 struct isl_basic_map
*bmap
, unsigned extra
,
274 unsigned n_eq
, unsigned n_ineq
)
277 size_t row_size
= 1 + isl_dim_total(bmap
->dim
) + extra
;
279 bmap
->block
= isl_blk_alloc(ctx
, (n_ineq
+ n_eq
) * row_size
);
280 if (isl_blk_is_error(bmap
->block
)) {
285 bmap
->ineq
= isl_alloc_array(ctx
, isl_int
*, n_ineq
+ n_eq
);
287 isl_blk_free(ctx
, bmap
->block
);
293 bmap
->block2
= isl_blk_empty();
296 bmap
->block2
= isl_blk_alloc(ctx
, extra
* (1 + row_size
));
297 if (isl_blk_is_error(bmap
->block2
)) {
299 isl_blk_free(ctx
, bmap
->block
);
304 bmap
->div
= isl_alloc_array(ctx
, isl_int
*, extra
);
306 isl_blk_free(ctx
, bmap
->block2
);
308 isl_blk_free(ctx
, bmap
->block
);
314 for (i
= 0; i
< n_ineq
+ n_eq
; ++i
)
315 bmap
->ineq
[i
] = bmap
->block
.data
+ i
* row_size
;
317 for (i
= 0; i
< extra
; ++i
)
318 bmap
->div
[i
] = bmap
->block2
.data
+ i
* (1 + row_size
);
324 bmap
->c_size
= n_eq
+ n_ineq
;
325 bmap
->eq
= bmap
->ineq
+ n_ineq
;
334 isl_basic_map_free(bmap
);
338 struct isl_basic_set
*isl_basic_set_alloc(struct isl_ctx
*ctx
,
339 unsigned nparam
, unsigned dim
, unsigned extra
,
340 unsigned n_eq
, unsigned n_ineq
)
342 struct isl_basic_map
*bmap
;
343 bmap
= isl_basic_map_alloc(ctx
, nparam
, 0, dim
, extra
, n_eq
, n_ineq
);
344 return (struct isl_basic_set
*)bmap
;
347 struct isl_basic_set
*isl_basic_set_alloc_dim(struct isl_dim
*dim
,
348 unsigned extra
, unsigned n_eq
, unsigned n_ineq
)
350 struct isl_basic_map
*bmap
;
353 isl_assert(dim
->ctx
, dim
->n_in
== 0, return NULL
);
354 bmap
= isl_basic_map_alloc_dim(dim
, extra
, n_eq
, n_ineq
);
355 return (struct isl_basic_set
*)bmap
;
358 struct isl_basic_map
*isl_basic_map_alloc_dim(struct isl_dim
*dim
,
359 unsigned extra
, unsigned n_eq
, unsigned n_ineq
)
361 struct isl_basic_map
*bmap
;
365 bmap
= isl_alloc_type(dim
->ctx
, struct isl_basic_map
);
370 return basic_map_init(dim
->ctx
, bmap
, extra
, n_eq
, n_ineq
);
376 struct isl_basic_map
*isl_basic_map_alloc(struct isl_ctx
*ctx
,
377 unsigned nparam
, unsigned in
, unsigned out
, unsigned extra
,
378 unsigned n_eq
, unsigned n_ineq
)
380 struct isl_basic_map
*bmap
;
383 dim
= isl_dim_alloc(ctx
, nparam
, in
, out
);
387 bmap
= isl_basic_map_alloc_dim(dim
, extra
, n_eq
, n_ineq
);
391 static void dup_constraints(
392 struct isl_basic_map
*dst
, struct isl_basic_map
*src
)
395 unsigned total
= isl_basic_map_total_dim(src
);
397 for (i
= 0; i
< src
->n_eq
; ++i
) {
398 int j
= isl_basic_map_alloc_equality(dst
);
399 isl_seq_cpy(dst
->eq
[j
], src
->eq
[i
], 1+total
);
402 for (i
= 0; i
< src
->n_ineq
; ++i
) {
403 int j
= isl_basic_map_alloc_inequality(dst
);
404 isl_seq_cpy(dst
->ineq
[j
], src
->ineq
[i
], 1+total
);
407 for (i
= 0; i
< src
->n_div
; ++i
) {
408 int j
= isl_basic_map_alloc_div(dst
);
409 isl_seq_cpy(dst
->div
[j
], src
->div
[i
], 1+1+total
);
411 ISL_F_SET(dst
, ISL_BASIC_SET_FINAL
);
414 struct isl_basic_map
*isl_basic_map_dup(struct isl_basic_map
*bmap
)
416 struct isl_basic_map
*dup
;
420 dup
= isl_basic_map_alloc_dim(isl_dim_copy(bmap
->dim
),
421 bmap
->n_div
, bmap
->n_eq
, bmap
->n_ineq
);
424 dup_constraints(dup
, bmap
);
425 dup
->flags
= bmap
->flags
;
426 dup
->sample
= isl_vec_copy(bmap
->sample
);
430 struct isl_basic_set
*isl_basic_set_dup(struct isl_basic_set
*bset
)
432 struct isl_basic_map
*dup
;
434 dup
= isl_basic_map_dup((struct isl_basic_map
*)bset
);
435 return (struct isl_basic_set
*)dup
;
438 struct isl_basic_set
*isl_basic_set_copy(struct isl_basic_set
*bset
)
443 if (ISL_F_ISSET(bset
, ISL_BASIC_SET_FINAL
)) {
447 return isl_basic_set_dup(bset
);
450 struct isl_set
*isl_set_copy(struct isl_set
*set
)
459 struct isl_basic_map
*isl_basic_map_copy(struct isl_basic_map
*bmap
)
464 if (ISL_F_ISSET(bmap
, ISL_BASIC_SET_FINAL
)) {
468 return isl_basic_map_dup(bmap
);
471 struct isl_map
*isl_map_copy(struct isl_map
*map
)
480 void isl_basic_map_free(struct isl_basic_map
*bmap
)
488 isl_ctx_deref(bmap
->ctx
);
490 isl_blk_free(bmap
->ctx
, bmap
->block2
);
492 isl_blk_free(bmap
->ctx
, bmap
->block
);
493 isl_vec_free(bmap
->sample
);
494 isl_dim_free(bmap
->dim
);
498 void isl_basic_set_free(struct isl_basic_set
*bset
)
500 isl_basic_map_free((struct isl_basic_map
*)bset
);
503 static int room_for_con(struct isl_basic_map
*bmap
, unsigned n
)
505 return bmap
->n_eq
+ bmap
->n_ineq
+ n
<= bmap
->c_size
;
508 int isl_basic_map_alloc_equality(struct isl_basic_map
*bmap
)
514 isl_assert(ctx
, room_for_con(bmap
, 1), return -1);
515 isl_assert(ctx
, (bmap
->eq
- bmap
->ineq
) + bmap
->n_eq
<= bmap
->c_size
,
517 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
518 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NO_REDUNDANT
);
519 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NO_IMPLICIT
);
520 ISL_F_CLR(bmap
, ISL_BASIC_MAP_ALL_EQUALITIES
);
521 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED_DIVS
);
522 if ((bmap
->eq
- bmap
->ineq
) + bmap
->n_eq
== bmap
->c_size
) {
524 int j
= isl_basic_map_alloc_inequality(bmap
);
528 bmap
->ineq
[j
] = bmap
->ineq
[bmap
->n_ineq
- 1];
529 bmap
->ineq
[bmap
->n_ineq
- 1] = bmap
->eq
[-1];
536 isl_seq_clr(bmap
->eq
[bmap
->n_eq
] + 1 + isl_basic_map_total_dim(bmap
),
537 bmap
->extra
- bmap
->n_div
);
541 int isl_basic_set_alloc_equality(struct isl_basic_set
*bset
)
543 return isl_basic_map_alloc_equality((struct isl_basic_map
*)bset
);
546 int isl_basic_map_free_equality(struct isl_basic_map
*bmap
, unsigned n
)
550 isl_assert(bmap
->ctx
, n
<= bmap
->n_eq
, return -1);
555 int isl_basic_set_free_equality(struct isl_basic_set
*bset
, unsigned n
)
557 return isl_basic_map_free_equality((struct isl_basic_map
*)bset
, n
);
560 int isl_basic_map_drop_equality(struct isl_basic_map
*bmap
, unsigned pos
)
565 isl_assert(bmap
->ctx
, pos
< bmap
->n_eq
, return -1);
567 if (pos
!= bmap
->n_eq
- 1) {
569 bmap
->eq
[pos
] = bmap
->eq
[bmap
->n_eq
- 1];
570 bmap
->eq
[bmap
->n_eq
- 1] = t
;
576 int isl_basic_set_drop_equality(struct isl_basic_set
*bset
, unsigned pos
)
578 return isl_basic_map_drop_equality((struct isl_basic_map
*)bset
, pos
);
581 void isl_basic_map_inequality_to_equality(
582 struct isl_basic_map
*bmap
, unsigned pos
)
587 bmap
->ineq
[pos
] = bmap
->ineq
[bmap
->n_ineq
- 1];
588 bmap
->ineq
[bmap
->n_ineq
- 1] = bmap
->eq
[-1];
593 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NO_REDUNDANT
);
594 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
595 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED_DIVS
);
596 ISL_F_CLR(bmap
, ISL_BASIC_MAP_ALL_EQUALITIES
);
599 static int room_for_ineq(struct isl_basic_map
*bmap
, unsigned n
)
601 return bmap
->n_ineq
+ n
<= bmap
->eq
- bmap
->ineq
;
604 int isl_basic_map_alloc_inequality(struct isl_basic_map
*bmap
)
610 isl_assert(ctx
, room_for_ineq(bmap
, 1), return -1);
611 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NO_IMPLICIT
);
612 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NO_REDUNDANT
);
613 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
614 ISL_F_CLR(bmap
, ISL_BASIC_MAP_ALL_EQUALITIES
);
615 isl_seq_clr(bmap
->ineq
[bmap
->n_ineq
] +
616 1 + isl_basic_map_total_dim(bmap
),
617 bmap
->extra
- bmap
->n_div
);
618 return bmap
->n_ineq
++;
621 int isl_basic_set_alloc_inequality(struct isl_basic_set
*bset
)
623 return isl_basic_map_alloc_inequality((struct isl_basic_map
*)bset
);
626 int isl_basic_map_free_inequality(struct isl_basic_map
*bmap
, unsigned n
)
630 isl_assert(bmap
->ctx
, n
<= bmap
->n_ineq
, return -1);
635 int isl_basic_set_free_inequality(struct isl_basic_set
*bset
, unsigned n
)
637 return isl_basic_map_free_inequality((struct isl_basic_map
*)bset
, n
);
640 int isl_basic_map_drop_inequality(struct isl_basic_map
*bmap
, unsigned pos
)
645 isl_assert(bmap
->ctx
, pos
< bmap
->n_ineq
, return -1);
647 if (pos
!= bmap
->n_ineq
- 1) {
649 bmap
->ineq
[pos
] = bmap
->ineq
[bmap
->n_ineq
- 1];
650 bmap
->ineq
[bmap
->n_ineq
- 1] = t
;
651 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
657 int isl_basic_set_drop_inequality(struct isl_basic_set
*bset
, unsigned pos
)
659 return isl_basic_map_drop_inequality((struct isl_basic_map
*)bset
, pos
);
662 __isl_give isl_basic_map
*isl_basic_map_add_eq(__isl_take isl_basic_map
*bmap
,
667 bmap
= isl_basic_map_extend_constraints(bmap
, 1, 0);
670 k
= isl_basic_map_alloc_equality(bmap
);
673 isl_seq_cpy(bmap
->eq
[k
], eq
, 1 + isl_basic_map_total_dim(bmap
));
676 isl_basic_map_free(bmap
);
680 __isl_give isl_basic_set
*isl_basic_set_add_eq(__isl_take isl_basic_set
*bset
,
683 return (isl_basic_set
*)
684 isl_basic_map_add_eq((isl_basic_map
*)bset
, eq
);
687 __isl_give isl_basic_map
*isl_basic_map_add_ineq(__isl_take isl_basic_map
*bmap
,
692 bmap
= isl_basic_map_extend_constraints(bmap
, 0, 1);
695 k
= isl_basic_map_alloc_inequality(bmap
);
698 isl_seq_cpy(bmap
->ineq
[k
], ineq
, 1 + isl_basic_map_total_dim(bmap
));
701 isl_basic_map_free(bmap
);
705 __isl_give isl_basic_set
*isl_basic_set_add_ineq(__isl_take isl_basic_set
*bset
,
708 return (isl_basic_set
*)
709 isl_basic_map_add_ineq((isl_basic_map
*)bset
, ineq
);
712 int isl_basic_map_alloc_div(struct isl_basic_map
*bmap
)
716 isl_assert(bmap
->ctx
, bmap
->n_div
< bmap
->extra
, return -1);
717 isl_seq_clr(bmap
->div
[bmap
->n_div
] +
718 1 + 1 + isl_basic_map_total_dim(bmap
),
719 bmap
->extra
- bmap
->n_div
);
720 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED_DIVS
);
721 return bmap
->n_div
++;
724 int isl_basic_set_alloc_div(struct isl_basic_set
*bset
)
726 return isl_basic_map_alloc_div((struct isl_basic_map
*)bset
);
729 int isl_basic_map_free_div(struct isl_basic_map
*bmap
, unsigned n
)
733 isl_assert(bmap
->ctx
, n
<= bmap
->n_div
, return -1);
738 int isl_basic_set_free_div(struct isl_basic_set
*bset
, unsigned n
)
740 return isl_basic_map_free_div((struct isl_basic_map
*)bset
, n
);
743 /* Copy constraint from src to dst, putting the vars of src at offset
744 * dim_off in dst and the divs of src at offset div_off in dst.
745 * If both sets are actually map, then dim_off applies to the input
748 static void copy_constraint(struct isl_basic_map
*dst_map
, isl_int
*dst
,
749 struct isl_basic_map
*src_map
, isl_int
*src
,
750 unsigned in_off
, unsigned out_off
, unsigned div_off
)
752 unsigned src_nparam
= isl_basic_map_n_param(src_map
);
753 unsigned dst_nparam
= isl_basic_map_n_param(dst_map
);
754 unsigned src_in
= isl_basic_map_n_in(src_map
);
755 unsigned dst_in
= isl_basic_map_n_in(dst_map
);
756 unsigned src_out
= isl_basic_map_n_out(src_map
);
757 unsigned dst_out
= isl_basic_map_n_out(dst_map
);
758 isl_int_set(dst
[0], src
[0]);
759 isl_seq_cpy(dst
+1, src
+1, isl_min(dst_nparam
, src_nparam
));
760 if (dst_nparam
> src_nparam
)
761 isl_seq_clr(dst
+1+src_nparam
,
762 dst_nparam
- src_nparam
);
763 isl_seq_clr(dst
+1+dst_nparam
, in_off
);
764 isl_seq_cpy(dst
+1+dst_nparam
+in_off
,
766 isl_min(dst_in
-in_off
, src_in
));
767 if (dst_in
-in_off
> src_in
)
768 isl_seq_clr(dst
+1+dst_nparam
+in_off
+src_in
,
769 dst_in
- in_off
- src_in
);
770 isl_seq_clr(dst
+1+dst_nparam
+dst_in
, out_off
);
771 isl_seq_cpy(dst
+1+dst_nparam
+dst_in
+out_off
,
772 src
+1+src_nparam
+src_in
,
773 isl_min(dst_out
-out_off
, src_out
));
774 if (dst_out
-out_off
> src_out
)
775 isl_seq_clr(dst
+1+dst_nparam
+dst_in
+out_off
+src_out
,
776 dst_out
- out_off
- src_out
);
777 isl_seq_clr(dst
+1+dst_nparam
+dst_in
+dst_out
, div_off
);
778 isl_seq_cpy(dst
+1+dst_nparam
+dst_in
+dst_out
+div_off
,
779 src
+1+src_nparam
+src_in
+src_out
,
780 isl_min(dst_map
->extra
-div_off
, src_map
->n_div
));
781 if (dst_map
->n_div
-div_off
> src_map
->n_div
)
782 isl_seq_clr(dst
+1+dst_nparam
+dst_in
+dst_out
+
783 div_off
+src_map
->n_div
,
784 dst_map
->n_div
- div_off
- src_map
->n_div
);
787 static void copy_div(struct isl_basic_map
*dst_map
, isl_int
*dst
,
788 struct isl_basic_map
*src_map
, isl_int
*src
,
789 unsigned in_off
, unsigned out_off
, unsigned div_off
)
791 isl_int_set(dst
[0], src
[0]);
792 copy_constraint(dst_map
, dst
+1, src_map
, src
+1, in_off
, out_off
, div_off
);
795 static struct isl_basic_map
*add_constraints(struct isl_basic_map
*bmap1
,
796 struct isl_basic_map
*bmap2
, unsigned i_pos
, unsigned o_pos
)
801 if (!bmap1
|| !bmap2
)
804 div_off
= bmap1
->n_div
;
806 for (i
= 0; i
< bmap2
->n_eq
; ++i
) {
807 int i1
= isl_basic_map_alloc_equality(bmap1
);
810 copy_constraint(bmap1
, bmap1
->eq
[i1
], bmap2
, bmap2
->eq
[i
],
811 i_pos
, o_pos
, div_off
);
814 for (i
= 0; i
< bmap2
->n_ineq
; ++i
) {
815 int i1
= isl_basic_map_alloc_inequality(bmap1
);
818 copy_constraint(bmap1
, bmap1
->ineq
[i1
], bmap2
, bmap2
->ineq
[i
],
819 i_pos
, o_pos
, div_off
);
822 for (i
= 0; i
< bmap2
->n_div
; ++i
) {
823 int i1
= isl_basic_map_alloc_div(bmap1
);
826 copy_div(bmap1
, bmap1
->div
[i1
], bmap2
, bmap2
->div
[i
],
827 i_pos
, o_pos
, div_off
);
830 isl_basic_map_free(bmap2
);
835 isl_basic_map_free(bmap1
);
836 isl_basic_map_free(bmap2
);
840 static void copy_constraint_dim_map(isl_int
*dst
, isl_int
*src
,
841 struct isl_dim_map
*dim_map
)
845 for (i
= 0; i
< dim_map
->len
; ++i
) {
846 if (dim_map
->pos
[i
] < 0)
847 isl_int_set_si(dst
[i
], 0);
849 isl_int_set(dst
[i
], src
[dim_map
->pos
[i
]]);
853 static void copy_div_dim_map(isl_int
*dst
, isl_int
*src
,
854 struct isl_dim_map
*dim_map
)
856 isl_int_set(dst
[0], src
[0]);
857 copy_constraint_dim_map(dst
+1, src
+1, dim_map
);
860 static struct isl_basic_map
*add_constraints_dim_map(struct isl_basic_map
*dst
,
861 struct isl_basic_map
*src
, struct isl_dim_map
*dim_map
)
865 if (!src
|| !dst
|| !dim_map
)
868 for (i
= 0; i
< src
->n_eq
; ++i
) {
869 int i1
= isl_basic_map_alloc_equality(dst
);
872 copy_constraint_dim_map(dst
->eq
[i1
], src
->eq
[i
], dim_map
);
875 for (i
= 0; i
< src
->n_ineq
; ++i
) {
876 int i1
= isl_basic_map_alloc_inequality(dst
);
879 copy_constraint_dim_map(dst
->ineq
[i1
], src
->ineq
[i
], dim_map
);
882 for (i
= 0; i
< src
->n_div
; ++i
) {
883 int i1
= isl_basic_map_alloc_div(dst
);
886 copy_div_dim_map(dst
->div
[i1
], src
->div
[i
], dim_map
);
890 isl_basic_map_free(src
);
895 isl_basic_map_free(src
);
896 isl_basic_map_free(dst
);
900 struct isl_basic_set
*isl_basic_set_add_constraints(struct isl_basic_set
*bset1
,
901 struct isl_basic_set
*bset2
, unsigned pos
)
903 return (struct isl_basic_set
*)
904 add_constraints((struct isl_basic_map
*)bset1
,
905 (struct isl_basic_map
*)bset2
, 0, pos
);
908 struct isl_basic_map
*isl_basic_map_extend_dim(struct isl_basic_map
*base
,
909 struct isl_dim
*dim
, unsigned extra
,
910 unsigned n_eq
, unsigned n_ineq
)
912 struct isl_basic_map
*ext
;
922 dims_ok
= isl_dim_equal(base
->dim
, dim
) &&
923 base
->extra
>= base
->n_div
+ extra
;
925 if (dims_ok
&& room_for_con(base
, n_eq
+ n_ineq
) &&
926 room_for_ineq(base
, n_ineq
)) {
931 isl_assert(base
->ctx
, base
->dim
->nparam
<= dim
->nparam
, goto error
);
932 isl_assert(base
->ctx
, base
->dim
->n_in
<= dim
->n_in
, goto error
);
933 isl_assert(base
->ctx
, base
->dim
->n_out
<= dim
->n_out
, goto error
);
934 extra
+= base
->extra
;
936 n_ineq
+= base
->n_ineq
;
938 ext
= isl_basic_map_alloc_dim(dim
, extra
, n_eq
, n_ineq
);
944 ext
->sample
= isl_vec_copy(base
->sample
);
946 ext
= add_constraints(ext
, base
, 0, 0);
949 ISL_F_CLR(ext
, ISL_BASIC_SET_FINAL
);
956 isl_basic_map_free(base
);
960 struct isl_basic_set
*isl_basic_set_extend_dim(struct isl_basic_set
*base
,
961 struct isl_dim
*dim
, unsigned extra
,
962 unsigned n_eq
, unsigned n_ineq
)
964 return (struct isl_basic_set
*)
965 isl_basic_map_extend_dim((struct isl_basic_map
*)base
, dim
,
966 extra
, n_eq
, n_ineq
);
969 struct isl_basic_map
*isl_basic_map_extend_constraints(
970 struct isl_basic_map
*base
, unsigned n_eq
, unsigned n_ineq
)
974 return isl_basic_map_extend_dim(base
, isl_dim_copy(base
->dim
),
978 struct isl_basic_map
*isl_basic_map_extend(struct isl_basic_map
*base
,
979 unsigned nparam
, unsigned n_in
, unsigned n_out
, unsigned extra
,
980 unsigned n_eq
, unsigned n_ineq
)
982 struct isl_basic_map
*bmap
;
987 dim
= isl_dim_alloc(base
->ctx
, nparam
, n_in
, n_out
);
991 bmap
= isl_basic_map_extend_dim(base
, dim
, extra
, n_eq
, n_ineq
);
995 struct isl_basic_set
*isl_basic_set_extend(struct isl_basic_set
*base
,
996 unsigned nparam
, unsigned dim
, unsigned extra
,
997 unsigned n_eq
, unsigned n_ineq
)
999 return (struct isl_basic_set
*)
1000 isl_basic_map_extend((struct isl_basic_map
*)base
,
1001 nparam
, 0, dim
, extra
, n_eq
, n_ineq
);
1004 struct isl_basic_set
*isl_basic_set_extend_constraints(
1005 struct isl_basic_set
*base
, unsigned n_eq
, unsigned n_ineq
)
1007 return (struct isl_basic_set
*)
1008 isl_basic_map_extend_constraints((struct isl_basic_map
*)base
,
1012 struct isl_basic_set
*isl_basic_set_cow(struct isl_basic_set
*bset
)
1014 return (struct isl_basic_set
*)
1015 isl_basic_map_cow((struct isl_basic_map
*)bset
);
1018 struct isl_basic_map
*isl_basic_map_cow(struct isl_basic_map
*bmap
)
1023 if (bmap
->ref
> 1) {
1025 bmap
= isl_basic_map_dup(bmap
);
1027 ISL_F_CLR(bmap
, ISL_BASIC_SET_FINAL
);
1031 struct isl_set
*isl_set_cow(struct isl_set
*set
)
1039 return isl_set_dup(set
);
1042 struct isl_map
*isl_map_cow(struct isl_map
*map
)
1050 return isl_map_dup(map
);
1053 static void swap_vars(struct isl_blk blk
, isl_int
*a
,
1054 unsigned a_len
, unsigned b_len
)
1056 isl_seq_cpy(blk
.data
, a
+a_len
, b_len
);
1057 isl_seq_cpy(blk
.data
+b_len
, a
, a_len
);
1058 isl_seq_cpy(a
, blk
.data
, b_len
+a_len
);
1061 struct isl_basic_set
*isl_basic_set_swap_vars(
1062 struct isl_basic_set
*bset
, unsigned n
)
1072 nparam
= isl_basic_set_n_param(bset
);
1073 dim
= isl_basic_set_n_dim(bset
);
1074 isl_assert(bset
->ctx
, n
<= dim
, goto error
);
1079 bset
= isl_basic_set_cow(bset
);
1083 blk
= isl_blk_alloc(bset
->ctx
, dim
);
1084 if (isl_blk_is_error(blk
))
1087 for (i
= 0; i
< bset
->n_eq
; ++i
)
1089 bset
->eq
[i
]+1+nparam
, n
, dim
- n
);
1091 for (i
= 0; i
< bset
->n_ineq
; ++i
)
1093 bset
->ineq
[i
]+1+nparam
, n
, dim
- n
);
1095 for (i
= 0; i
< bset
->n_div
; ++i
)
1097 bset
->div
[i
]+1+1+nparam
, n
, dim
- n
);
1099 isl_blk_free(bset
->ctx
, blk
);
1101 ISL_F_CLR(bset
, ISL_BASIC_SET_NORMALIZED
);
1102 return isl_basic_set_gauss(bset
, NULL
);
1104 isl_basic_set_free(bset
);
1108 struct isl_set
*isl_set_swap_vars(struct isl_set
*set
, unsigned n
)
1111 set
= isl_set_cow(set
);
1115 for (i
= 0; i
< set
->n
; ++i
) {
1116 set
->p
[i
] = isl_basic_set_swap_vars(set
->p
[i
], n
);
1122 ISL_F_CLR(set
, ISL_SET_NORMALIZED
);
1126 struct isl_basic_map
*isl_basic_map_set_to_empty(struct isl_basic_map
*bmap
)
1132 total
= isl_basic_map_total_dim(bmap
);
1133 isl_basic_map_free_div(bmap
, bmap
->n_div
);
1134 isl_basic_map_free_inequality(bmap
, bmap
->n_ineq
);
1136 isl_basic_map_free_equality(bmap
, bmap
->n_eq
-1);
1138 i
= isl_basic_map_alloc_equality(bmap
);
1142 isl_int_set_si(bmap
->eq
[i
][0], 1);
1143 isl_seq_clr(bmap
->eq
[i
]+1, total
);
1144 ISL_F_SET(bmap
, ISL_BASIC_MAP_EMPTY
);
1145 isl_vec_free(bmap
->sample
);
1146 bmap
->sample
= NULL
;
1147 return isl_basic_map_finalize(bmap
);
1149 isl_basic_map_free(bmap
);
1153 struct isl_basic_set
*isl_basic_set_set_to_empty(struct isl_basic_set
*bset
)
1155 return (struct isl_basic_set
*)
1156 isl_basic_map_set_to_empty((struct isl_basic_map
*)bset
);
1159 void isl_basic_map_swap_div(struct isl_basic_map
*bmap
, int a
, int b
)
1162 unsigned off
= isl_dim_total(bmap
->dim
);
1163 isl_int
*t
= bmap
->div
[a
];
1164 bmap
->div
[a
] = bmap
->div
[b
];
1167 for (i
= 0; i
< bmap
->n_eq
; ++i
)
1168 isl_int_swap(bmap
->eq
[i
][1+off
+a
], bmap
->eq
[i
][1+off
+b
]);
1170 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
1171 isl_int_swap(bmap
->ineq
[i
][1+off
+a
], bmap
->ineq
[i
][1+off
+b
]);
1173 for (i
= 0; i
< bmap
->n_div
; ++i
)
1174 isl_int_swap(bmap
->div
[i
][1+1+off
+a
], bmap
->div
[i
][1+1+off
+b
]);
1175 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
1178 /* Eliminate the specified n dimensions starting at first from the
1179 * constraints using Fourier-Motzkin. The dimensions themselves
1182 __isl_give isl_map
*isl_map_eliminate(__isl_take isl_map
*map
,
1183 enum isl_dim_type type
, unsigned first
, unsigned n
)
1192 map
= isl_map_cow(map
);
1195 isl_assert(map
->ctx
, first
+ n
<= isl_map_dim(map
, type
), goto error
);
1196 first
+= pos(map
->dim
, type
) - 1;
1198 for (i
= 0; i
< map
->n
; ++i
) {
1199 map
->p
[i
] = isl_basic_map_eliminate_vars(map
->p
[i
], first
, n
);
1209 /* Eliminate the specified n dimensions starting at first from the
1210 * constraints using Fourier-Motzkin. The dimensions themselves
1213 __isl_give isl_set
*isl_set_eliminate(__isl_take isl_set
*set
,
1214 enum isl_dim_type type
, unsigned first
, unsigned n
)
1216 return (isl_set
*)isl_map_eliminate((isl_map
*)set
, type
, first
, n
);
1219 /* Eliminate the specified n dimensions starting at first from the
1220 * constraints using Fourier-Motzkin. The dimensions themselves
1223 __isl_give isl_set
*isl_set_eliminate_dims(__isl_take isl_set
*set
,
1224 unsigned first
, unsigned n
)
1226 return isl_set_eliminate(set
, isl_dim_set
, first
, n
);
1229 /* Project out n dimensions starting at first using Fourier-Motzkin */
1230 struct isl_set
*isl_set_remove_dims(struct isl_set
*set
,
1231 unsigned first
, unsigned n
)
1233 set
= isl_set_eliminate_dims(set
, first
, n
);
1234 set
= isl_set_drop_dims(set
, first
, n
);
1238 struct isl_basic_set
*isl_basic_set_remove_divs(struct isl_basic_set
*bset
)
1240 bset
= isl_basic_set_eliminate_vars(bset
, isl_dim_total(bset
->dim
),
1248 struct isl_set
*isl_set_remove_divs(struct isl_set
*set
)
1257 set
= isl_set_cow(set
);
1261 for (i
= 0; i
< set
->n
; ++i
) {
1262 set
->p
[i
] = isl_basic_set_remove_divs(set
->p
[i
]);
1272 struct isl_basic_map
*isl_basic_map_remove(struct isl_basic_map
*bmap
,
1273 enum isl_dim_type type
, unsigned first
, unsigned n
)
1277 isl_assert(bmap
->ctx
, first
+ n
<= isl_basic_map_dim(bmap
, type
),
1281 bmap
= isl_basic_map_eliminate_vars(bmap
,
1282 isl_basic_map_offset(bmap
, type
) - 1 + first
, n
);
1285 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_EMPTY
) && type
== isl_dim_div
)
1287 bmap
= isl_basic_map_drop(bmap
, type
, first
, n
);
1290 isl_basic_map_free(bmap
);
1294 __isl_give isl_basic_set
*isl_basic_set_remove(__isl_take isl_basic_set
*bset
,
1295 enum isl_dim_type type
, unsigned first
, unsigned n
)
1297 return (isl_basic_set
*)
1298 isl_basic_map_remove((isl_basic_map
*)bset
, type
, first
, n
);
1301 struct isl_map
*isl_map_remove(struct isl_map
*map
,
1302 enum isl_dim_type type
, unsigned first
, unsigned n
)
1309 map
= isl_map_cow(map
);
1312 isl_assert(map
->ctx
, first
+ n
<= isl_map_dim(map
, type
), goto error
);
1314 for (i
= 0; i
< map
->n
; ++i
) {
1315 map
->p
[i
] = isl_basic_map_eliminate_vars(map
->p
[i
],
1316 isl_basic_map_offset(map
->p
[i
], type
) - 1 + first
, n
);
1320 map
= isl_map_drop(map
, type
, first
, n
);
1327 __isl_give isl_set
*isl_set_remove(__isl_take isl_set
*bset
,
1328 enum isl_dim_type type
, unsigned first
, unsigned n
)
1330 return (isl_set
*)isl_map_remove((isl_map
*)bset
, type
, first
, n
);
1333 /* Project out n inputs starting at first using Fourier-Motzkin */
1334 struct isl_map
*isl_map_remove_inputs(struct isl_map
*map
,
1335 unsigned first
, unsigned n
)
1337 return isl_map_remove(map
, isl_dim_in
, first
, n
);
1340 /* Project out n dimensions starting at first using Fourier-Motzkin */
1341 struct isl_basic_set
*isl_basic_set_remove_dims(struct isl_basic_set
*bset
,
1342 unsigned first
, unsigned n
)
1344 unsigned nparam
= isl_basic_set_n_param(bset
);
1345 bset
= isl_basic_set_eliminate_vars(bset
, nparam
+ first
, n
);
1346 bset
= isl_basic_set_drop_dims(bset
, first
, n
);
1350 static void dump_term(struct isl_basic_map
*bmap
,
1351 isl_int c
, int pos
, FILE *out
)
1354 unsigned in
= isl_basic_map_n_in(bmap
);
1355 unsigned dim
= in
+ isl_basic_map_n_out(bmap
);
1356 unsigned nparam
= isl_basic_map_n_param(bmap
);
1358 isl_int_print(out
, c
, 0);
1360 if (!isl_int_is_one(c
))
1361 isl_int_print(out
, c
, 0);
1362 if (pos
< 1 + nparam
) {
1363 name
= isl_dim_get_name(bmap
->dim
,
1364 isl_dim_param
, pos
- 1);
1366 fprintf(out
, "%s", name
);
1368 fprintf(out
, "p%d", pos
- 1);
1369 } else if (pos
< 1 + nparam
+ in
)
1370 fprintf(out
, "i%d", pos
- 1 - nparam
);
1371 else if (pos
< 1 + nparam
+ dim
)
1372 fprintf(out
, "o%d", pos
- 1 - nparam
- in
);
1374 fprintf(out
, "e%d", pos
- 1 - nparam
- dim
);
1378 static void dump_constraint_sign(struct isl_basic_map
*bmap
, isl_int
*c
,
1379 int sign
, FILE *out
)
1383 unsigned len
= 1 + isl_basic_map_total_dim(bmap
);
1387 for (i
= 0, first
= 1; i
< len
; ++i
) {
1388 if (isl_int_sgn(c
[i
]) * sign
<= 0)
1391 fprintf(out
, " + ");
1393 isl_int_abs(v
, c
[i
]);
1394 dump_term(bmap
, v
, i
, out
);
1401 static void dump_constraint(struct isl_basic_map
*bmap
, isl_int
*c
,
1402 const char *op
, FILE *out
, int indent
)
1406 fprintf(out
, "%*s", indent
, "");
1408 dump_constraint_sign(bmap
, c
, 1, out
);
1409 fprintf(out
, " %s ", op
);
1410 dump_constraint_sign(bmap
, c
, -1, out
);
1414 for (i
= bmap
->n_div
; i
< bmap
->extra
; ++i
) {
1415 if (isl_int_is_zero(c
[1+isl_dim_total(bmap
->dim
)+i
]))
1417 fprintf(out
, "%*s", indent
, "");
1418 fprintf(out
, "ERROR: unused div coefficient not zero\n");
1423 static void dump_constraints(struct isl_basic_map
*bmap
,
1424 isl_int
**c
, unsigned n
,
1425 const char *op
, FILE *out
, int indent
)
1429 for (i
= 0; i
< n
; ++i
)
1430 dump_constraint(bmap
, c
[i
], op
, out
, indent
);
1433 static void dump_affine(struct isl_basic_map
*bmap
, isl_int
*exp
, FILE *out
)
1437 unsigned total
= isl_basic_map_total_dim(bmap
);
1439 for (j
= 0; j
< 1 + total
; ++j
) {
1440 if (isl_int_is_zero(exp
[j
]))
1442 if (!first
&& isl_int_is_pos(exp
[j
]))
1444 dump_term(bmap
, exp
[j
], j
, out
);
1449 static void dump(struct isl_basic_map
*bmap
, FILE *out
, int indent
)
1453 dump_constraints(bmap
, bmap
->eq
, bmap
->n_eq
, "=", out
, indent
);
1454 dump_constraints(bmap
, bmap
->ineq
, bmap
->n_ineq
, ">=", out
, indent
);
1456 for (i
= 0; i
< bmap
->n_div
; ++i
) {
1457 fprintf(out
, "%*s", indent
, "");
1458 fprintf(out
, "e%d = [(", i
);
1459 dump_affine(bmap
, bmap
->div
[i
]+1, out
);
1461 isl_int_print(out
, bmap
->div
[i
][0], 0);
1462 fprintf(out
, "]\n");
1466 void isl_basic_set_dump(struct isl_basic_set
*bset
, FILE *out
, int indent
)
1469 fprintf(out
, "null basic set\n");
1473 fprintf(out
, "%*s", indent
, "");
1474 fprintf(out
, "ref: %d, nparam: %d, dim: %d, extra: %d, flags: %x\n",
1475 bset
->ref
, bset
->dim
->nparam
, bset
->dim
->n_out
,
1476 bset
->extra
, bset
->flags
);
1477 dump((struct isl_basic_map
*)bset
, out
, indent
);
1480 void isl_basic_map_dump(struct isl_basic_map
*bmap
, FILE *out
, int indent
)
1483 fprintf(out
, "null basic map\n");
1487 fprintf(out
, "%*s", indent
, "");
1488 fprintf(out
, "ref: %d, nparam: %d, in: %d, out: %d, extra: %d, "
1489 "flags: %x, n_name: %d\n",
1491 bmap
->dim
->nparam
, bmap
->dim
->n_in
, bmap
->dim
->n_out
,
1492 bmap
->extra
, bmap
->flags
, bmap
->dim
->n_name
);
1493 dump(bmap
, out
, indent
);
1496 int isl_inequality_negate(struct isl_basic_map
*bmap
, unsigned pos
)
1501 total
= isl_basic_map_total_dim(bmap
);
1502 isl_assert(bmap
->ctx
, pos
< bmap
->n_ineq
, return -1);
1503 isl_seq_neg(bmap
->ineq
[pos
], bmap
->ineq
[pos
], 1 + total
);
1504 isl_int_sub_ui(bmap
->ineq
[pos
][0], bmap
->ineq
[pos
][0], 1);
1505 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
1509 struct isl_set
*isl_set_alloc_dim(struct isl_dim
*dim
, int n
, unsigned flags
)
1511 struct isl_set
*set
;
1515 isl_assert(dim
->ctx
, dim
->n_in
== 0, return NULL
);
1516 isl_assert(dim
->ctx
, n
>= 0, return NULL
);
1517 set
= isl_alloc(dim
->ctx
, struct isl_set
,
1518 sizeof(struct isl_set
) +
1519 (n
- 1) * sizeof(struct isl_basic_set
*));
1523 set
->ctx
= dim
->ctx
;
1524 isl_ctx_ref(set
->ctx
);
1536 struct isl_set
*isl_set_alloc(struct isl_ctx
*ctx
,
1537 unsigned nparam
, unsigned dim
, int n
, unsigned flags
)
1539 struct isl_set
*set
;
1540 struct isl_dim
*dims
;
1542 dims
= isl_dim_alloc(ctx
, nparam
, 0, dim
);
1546 set
= isl_set_alloc_dim(dims
, n
, flags
);
1550 /* Make sure "map" has room for at least "n" more basic maps.
1552 struct isl_map
*isl_map_grow(struct isl_map
*map
, int n
)
1555 struct isl_map
*grown
= NULL
;
1559 isl_assert(map
->ctx
, n
>= 0, goto error
);
1560 if (map
->n
+ n
<= map
->size
)
1562 grown
= isl_map_alloc_dim(isl_map_get_dim(map
), map
->n
+ n
, map
->flags
);
1565 for (i
= 0; i
< map
->n
; ++i
) {
1566 grown
->p
[i
] = isl_basic_map_copy(map
->p
[i
]);
1574 isl_map_free(grown
);
1579 /* Make sure "set" has room for at least "n" more basic sets.
1581 struct isl_set
*isl_set_grow(struct isl_set
*set
, int n
)
1583 return (struct isl_set
*)isl_map_grow((struct isl_map
*)set
, n
);
1586 struct isl_set
*isl_set_dup(struct isl_set
*set
)
1589 struct isl_set
*dup
;
1594 dup
= isl_set_alloc_dim(isl_dim_copy(set
->dim
), set
->n
, set
->flags
);
1597 for (i
= 0; i
< set
->n
; ++i
)
1598 dup
= isl_set_add_basic_set(dup
, isl_basic_set_copy(set
->p
[i
]));
1602 struct isl_set
*isl_set_from_basic_set(struct isl_basic_set
*bset
)
1604 struct isl_set
*set
;
1609 set
= isl_set_alloc_dim(isl_dim_copy(bset
->dim
), 1, ISL_MAP_DISJOINT
);
1611 isl_basic_set_free(bset
);
1614 return isl_set_add_basic_set(set
, bset
);
1617 struct isl_map
*isl_map_from_basic_map(struct isl_basic_map
*bmap
)
1619 struct isl_map
*map
;
1624 map
= isl_map_alloc_dim(isl_dim_copy(bmap
->dim
), 1, ISL_MAP_DISJOINT
);
1626 isl_basic_map_free(bmap
);
1629 return isl_map_add_basic_map(map
, bmap
);
1632 __isl_give isl_set
*isl_set_add_basic_set(__isl_take isl_set
*set
,
1633 __isl_take isl_basic_set
*bset
)
1635 return (struct isl_set
*)isl_map_add_basic_map((struct isl_map
*)set
,
1636 (struct isl_basic_map
*)bset
);
1639 void isl_set_free(struct isl_set
*set
)
1649 isl_ctx_deref(set
->ctx
);
1650 for (i
= 0; i
< set
->n
; ++i
)
1651 isl_basic_set_free(set
->p
[i
]);
1652 isl_dim_free(set
->dim
);
1656 void isl_set_dump(struct isl_set
*set
, FILE *out
, int indent
)
1661 fprintf(out
, "null set\n");
1665 fprintf(out
, "%*s", indent
, "");
1666 fprintf(out
, "ref: %d, n: %d, nparam: %d, dim: %d, flags: %x\n",
1667 set
->ref
, set
->n
, set
->dim
->nparam
, set
->dim
->n_out
,
1669 for (i
= 0; i
< set
->n
; ++i
) {
1670 fprintf(out
, "%*s", indent
, "");
1671 fprintf(out
, "basic set %d:\n", i
);
1672 isl_basic_set_dump(set
->p
[i
], out
, indent
+4);
1676 void isl_map_dump(struct isl_map
*map
, FILE *out
, int indent
)
1681 fprintf(out
, "null map\n");
1685 fprintf(out
, "%*s", indent
, "");
1686 fprintf(out
, "ref: %d, n: %d, nparam: %d, in: %d, out: %d, "
1687 "flags: %x, n_name: %d\n",
1688 map
->ref
, map
->n
, map
->dim
->nparam
, map
->dim
->n_in
,
1689 map
->dim
->n_out
, map
->flags
, map
->dim
->n_name
);
1690 for (i
= 0; i
< map
->n
; ++i
) {
1691 fprintf(out
, "%*s", indent
, "");
1692 fprintf(out
, "basic map %d:\n", i
);
1693 isl_basic_map_dump(map
->p
[i
], out
, indent
+4);
1697 struct isl_basic_map
*isl_basic_map_intersect_domain(
1698 struct isl_basic_map
*bmap
, struct isl_basic_set
*bset
)
1700 struct isl_basic_map
*bmap_domain
;
1701 struct isl_dim
*dim
;
1706 isl_assert(bset
->ctx
, isl_dim_match(bmap
->dim
, isl_dim_param
,
1707 bset
->dim
, isl_dim_param
), goto error
);
1709 if (isl_dim_size(bset
->dim
, isl_dim_set
) != 0)
1710 isl_assert(bset
->ctx
,
1711 isl_basic_map_compatible_domain(bmap
, bset
), goto error
);
1713 bmap
= isl_basic_map_cow(bmap
);
1714 bmap
= isl_basic_map_extend_dim(bmap
, isl_dim_copy(bmap
->dim
),
1715 bset
->n_div
, bset
->n_eq
, bset
->n_ineq
);
1718 dim
= isl_dim_reverse(isl_dim_copy(bset
->dim
));
1719 bmap_domain
= isl_basic_map_from_basic_set(bset
, dim
);
1720 bmap
= add_constraints(bmap
, bmap_domain
, 0, 0);
1722 bmap
= isl_basic_map_simplify(bmap
);
1723 return isl_basic_map_finalize(bmap
);
1725 isl_basic_map_free(bmap
);
1726 isl_basic_set_free(bset
);
1730 struct isl_basic_map
*isl_basic_map_intersect_range(
1731 struct isl_basic_map
*bmap
, struct isl_basic_set
*bset
)
1733 struct isl_basic_map
*bmap_range
;
1738 isl_assert(bset
->ctx
, isl_dim_match(bmap
->dim
, isl_dim_param
,
1739 bset
->dim
, isl_dim_param
), goto error
);
1741 if (isl_dim_size(bset
->dim
, isl_dim_set
) != 0)
1742 isl_assert(bset
->ctx
,
1743 isl_basic_map_compatible_range(bmap
, bset
), goto error
);
1745 bmap
= isl_basic_map_cow(bmap
);
1746 bmap
= isl_basic_map_extend_dim(bmap
, isl_dim_copy(bmap
->dim
),
1747 bset
->n_div
, bset
->n_eq
, bset
->n_ineq
);
1750 bmap_range
= isl_basic_map_from_basic_set(bset
, isl_dim_copy(bset
->dim
));
1751 bmap
= add_constraints(bmap
, bmap_range
, 0, 0);
1753 bmap
= isl_basic_map_simplify(bmap
);
1754 return isl_basic_map_finalize(bmap
);
1756 isl_basic_map_free(bmap
);
1757 isl_basic_set_free(bset
);
1761 int isl_basic_map_contains(struct isl_basic_map
*bmap
, struct isl_vec
*vec
)
1767 total
= 1 + isl_basic_map_total_dim(bmap
);
1768 if (total
!= vec
->size
)
1773 for (i
= 0; i
< bmap
->n_eq
; ++i
) {
1774 isl_seq_inner_product(vec
->el
, bmap
->eq
[i
], total
, &s
);
1775 if (!isl_int_is_zero(s
)) {
1781 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
1782 isl_seq_inner_product(vec
->el
, bmap
->ineq
[i
], total
, &s
);
1783 if (isl_int_is_neg(s
)) {
1794 int isl_basic_set_contains(struct isl_basic_set
*bset
, struct isl_vec
*vec
)
1796 return isl_basic_map_contains((struct isl_basic_map
*)bset
, vec
);
1799 struct isl_basic_map
*isl_basic_map_intersect(
1800 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
1802 struct isl_vec
*sample
= NULL
;
1804 if (!bmap1
|| !bmap2
)
1807 isl_assert(bmap1
->ctx
, isl_dim_match(bmap1
->dim
, isl_dim_param
,
1808 bmap2
->dim
, isl_dim_param
), goto error
);
1809 if (isl_dim_total(bmap1
->dim
) ==
1810 isl_dim_size(bmap1
->dim
, isl_dim_param
) &&
1811 isl_dim_total(bmap2
->dim
) !=
1812 isl_dim_size(bmap2
->dim
, isl_dim_param
))
1813 return isl_basic_map_intersect(bmap2
, bmap1
);
1815 if (isl_dim_total(bmap2
->dim
) !=
1816 isl_dim_size(bmap2
->dim
, isl_dim_param
))
1817 isl_assert(bmap1
->ctx
,
1818 isl_dim_equal(bmap1
->dim
, bmap2
->dim
), goto error
);
1820 if (bmap1
->sample
&&
1821 isl_basic_map_contains(bmap1
, bmap1
->sample
) > 0 &&
1822 isl_basic_map_contains(bmap2
, bmap1
->sample
) > 0)
1823 sample
= isl_vec_copy(bmap1
->sample
);
1824 else if (bmap2
->sample
&&
1825 isl_basic_map_contains(bmap1
, bmap2
->sample
) > 0 &&
1826 isl_basic_map_contains(bmap2
, bmap2
->sample
) > 0)
1827 sample
= isl_vec_copy(bmap2
->sample
);
1829 bmap1
= isl_basic_map_cow(bmap1
);
1830 bmap1
= isl_basic_map_extend_dim(bmap1
, isl_dim_copy(bmap1
->dim
),
1831 bmap2
->n_div
, bmap2
->n_eq
, bmap2
->n_ineq
);
1834 bmap1
= add_constraints(bmap1
, bmap2
, 0, 0);
1837 isl_vec_free(bmap1
->sample
);
1838 bmap1
->sample
= sample
;
1841 bmap1
= isl_basic_map_simplify(bmap1
);
1842 return isl_basic_map_finalize(bmap1
);
1845 isl_vec_free(sample
);
1846 isl_basic_map_free(bmap1
);
1847 isl_basic_map_free(bmap2
);
1851 struct isl_basic_set
*isl_basic_set_intersect(
1852 struct isl_basic_set
*bset1
, struct isl_basic_set
*bset2
)
1854 return (struct isl_basic_set
*)
1855 isl_basic_map_intersect(
1856 (struct isl_basic_map
*)bset1
,
1857 (struct isl_basic_map
*)bset2
);
1860 /* Special case of isl_map_intersect, where both map1 and map2
1861 * are convex, without any divs and such that either map1 or map2
1862 * contains a single constraint. This constraint is then simply
1863 * added to the other map.
1865 static __isl_give isl_map
*map_intersect_add_constraint(
1866 __isl_take isl_map
*map1
, __isl_take isl_map
*map2
)
1868 struct isl_basic_map
*bmap1
;
1869 struct isl_basic_map
*bmap2
;
1871 isl_assert(map1
->ctx
, map1
->n
== 1, goto error
);
1872 isl_assert(map2
->ctx
, map1
->n
== 1, goto error
);
1873 isl_assert(map1
->ctx
, map1
->p
[0]->n_div
== 0, goto error
);
1874 isl_assert(map2
->ctx
, map1
->p
[0]->n_div
== 0, goto error
);
1876 if (map2
->p
[0]->n_eq
+ map2
->p
[0]->n_ineq
!= 1)
1877 return isl_map_intersect(map2
, map1
);
1879 isl_assert(map2
->ctx
,
1880 map2
->p
[0]->n_eq
+ map2
->p
[0]->n_ineq
== 1, goto error
);
1882 map1
= isl_map_cow(map1
);
1885 if (isl_map_fast_is_empty(map1
)) {
1889 map1
->p
[0] = isl_basic_map_cow(map1
->p
[0]);
1890 if (map2
->p
[0]->n_eq
== 1)
1891 map1
->p
[0] = isl_basic_map_add_eq(map1
->p
[0], map2
->p
[0]->eq
[0]);
1893 map1
->p
[0] = isl_basic_map_add_ineq(map1
->p
[0],
1894 map2
->p
[0]->ineq
[0]);
1896 map1
->p
[0] = isl_basic_map_simplify(map1
->p
[0]);
1897 map1
->p
[0] = isl_basic_map_finalize(map1
->p
[0]);
1901 if (isl_basic_map_fast_is_empty(map1
->p
[0])) {
1902 isl_basic_map_free(map1
->p
[0]);
1915 struct isl_map
*isl_map_intersect(struct isl_map
*map1
, struct isl_map
*map2
)
1918 struct isl_map
*result
;
1924 if (isl_map_fast_is_empty(map1
)) {
1928 if (isl_map_fast_is_empty(map2
)) {
1933 if (map1
->n
== 1 && map2
->n
== 1 &&
1934 map1
->p
[0]->n_div
== 0 && map2
->p
[0]->n_div
== 0 &&
1935 isl_dim_equal(map1
->dim
, map2
->dim
) &&
1936 (map1
->p
[0]->n_eq
+ map1
->p
[0]->n_ineq
== 1 ||
1937 map2
->p
[0]->n_eq
+ map2
->p
[0]->n_ineq
== 1))
1938 return map_intersect_add_constraint(map1
, map2
);
1939 isl_assert(map1
->ctx
, isl_dim_match(map1
->dim
, isl_dim_param
,
1940 map2
->dim
, isl_dim_param
), goto error
);
1941 if (isl_dim_total(map1
->dim
) ==
1942 isl_dim_size(map1
->dim
, isl_dim_param
) &&
1943 isl_dim_total(map2
->dim
) != isl_dim_size(map2
->dim
, isl_dim_param
))
1944 return isl_map_intersect(map2
, map1
);
1946 if (isl_dim_total(map2
->dim
) != isl_dim_size(map2
->dim
, isl_dim_param
))
1947 isl_assert(map1
->ctx
,
1948 isl_dim_equal(map1
->dim
, map2
->dim
), goto error
);
1950 if (ISL_F_ISSET(map1
, ISL_MAP_DISJOINT
) &&
1951 ISL_F_ISSET(map2
, ISL_MAP_DISJOINT
))
1952 ISL_FL_SET(flags
, ISL_MAP_DISJOINT
);
1954 result
= isl_map_alloc_dim(isl_dim_copy(map1
->dim
),
1955 map1
->n
* map2
->n
, flags
);
1958 for (i
= 0; i
< map1
->n
; ++i
)
1959 for (j
= 0; j
< map2
->n
; ++j
) {
1960 struct isl_basic_map
*part
;
1961 part
= isl_basic_map_intersect(
1962 isl_basic_map_copy(map1
->p
[i
]),
1963 isl_basic_map_copy(map2
->p
[j
]));
1964 if (isl_basic_map_is_empty(part
))
1965 isl_basic_map_free(part
);
1967 result
= isl_map_add_basic_map(result
, part
);
1980 struct isl_set
*isl_set_intersect(struct isl_set
*set1
, struct isl_set
*set2
)
1982 return (struct isl_set
*)
1983 isl_map_intersect((struct isl_map
*)set1
,
1984 (struct isl_map
*)set2
);
1987 struct isl_basic_map
*isl_basic_map_reverse(struct isl_basic_map
*bmap
)
1989 struct isl_dim
*dim
;
1990 struct isl_basic_set
*bset
;
1995 bmap
= isl_basic_map_cow(bmap
);
1998 dim
= isl_dim_reverse(isl_dim_copy(bmap
->dim
));
1999 in
= isl_basic_map_n_in(bmap
);
2000 bset
= isl_basic_set_from_basic_map(bmap
);
2001 bset
= isl_basic_set_swap_vars(bset
, in
);
2002 return isl_basic_map_from_basic_set(bset
, dim
);
2005 __isl_give isl_basic_map
*isl_basic_map_insert(__isl_take isl_basic_map
*bmap
,
2006 enum isl_dim_type type
, unsigned pos
, unsigned n
)
2008 struct isl_dim
*res_dim
;
2009 struct isl_basic_map
*res
;
2010 struct isl_dim_map
*dim_map
;
2011 unsigned total
, off
;
2012 enum isl_dim_type t
;
2020 res_dim
= isl_dim_insert(isl_basic_map_get_dim(bmap
), type
, pos
, n
);
2022 total
= isl_basic_map_total_dim(bmap
) + n
;
2023 dim_map
= isl_dim_map_alloc(bmap
->ctx
, total
);
2025 for (t
= isl_dim_param
; t
<= isl_dim_out
; ++t
) {
2027 isl_dim_map_dim(dim_map
, bmap
->dim
, t
, off
);
2029 unsigned size
= isl_basic_map_dim(bmap
, t
);
2030 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
2032 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
2033 pos
, size
- pos
, off
+ pos
+ n
);
2035 off
+= isl_dim_size(res_dim
, t
);
2037 isl_dim_map_div(dim_map
, bmap
, off
);
2039 res
= isl_basic_map_alloc_dim(res_dim
,
2040 bmap
->n_div
, bmap
->n_eq
, bmap
->n_ineq
);
2041 res
= add_constraints_dim_map(res
, bmap
, dim_map
);
2042 res
= isl_basic_map_simplify(res
);
2043 return isl_basic_map_finalize(res
);
2046 __isl_give isl_basic_map
*isl_basic_map_add(__isl_take isl_basic_map
*bmap
,
2047 enum isl_dim_type type
, unsigned n
)
2051 return isl_basic_map_insert(bmap
, type
,
2052 isl_basic_map_dim(bmap
, type
), n
);
2055 __isl_give isl_basic_set
*isl_basic_set_add(__isl_take isl_basic_set
*bset
,
2056 enum isl_dim_type type
, unsigned n
)
2060 isl_assert(bset
->ctx
, type
!= isl_dim_in
, goto error
);
2061 return (isl_basic_set
*)isl_basic_map_add((isl_basic_map
*)bset
, type
, n
);
2063 isl_basic_set_free(bset
);
2067 __isl_give isl_map
*isl_map_insert(__isl_take isl_map
*map
,
2068 enum isl_dim_type type
, unsigned pos
, unsigned n
)
2075 map
= isl_map_cow(map
);
2079 map
->dim
= isl_dim_insert(map
->dim
, type
, pos
, n
);
2083 for (i
= 0; i
< map
->n
; ++i
) {
2084 map
->p
[i
] = isl_basic_map_insert(map
->p
[i
], type
, pos
, n
);
2095 __isl_give isl_map
*isl_map_add(__isl_take isl_map
*map
,
2096 enum isl_dim_type type
, unsigned n
)
2100 return isl_map_insert(map
, type
, isl_map_dim(map
, type
), n
);
2103 __isl_give isl_set
*isl_set_add(__isl_take isl_set
*set
,
2104 enum isl_dim_type type
, unsigned n
)
2108 isl_assert(set
->ctx
, type
!= isl_dim_in
, goto error
);
2109 return (isl_set
*)isl_map_add((isl_map
*)set
, type
, n
);
2115 __isl_give isl_basic_map
*isl_basic_map_move_dims(
2116 __isl_take isl_basic_map
*bmap
,
2117 enum isl_dim_type dst_type
, unsigned dst_pos
,
2118 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
2121 struct isl_dim_map
*dim_map
;
2122 struct isl_basic_map
*res
;
2123 enum isl_dim_type t
;
2124 unsigned total
, off
;
2131 isl_assert(bmap
->ctx
, src_pos
+ n
<= isl_basic_map_dim(bmap
, src_type
),
2134 if (dst_type
== src_type
&& dst_pos
== src_pos
)
2137 isl_assert(bmap
->ctx
, dst_type
!= src_type
, goto error
);
2139 if (pos(bmap
->dim
, dst_type
) + dst_pos
==
2140 pos(bmap
->dim
, src_type
) + src_pos
+
2141 ((src_type
< dst_type
) ? n
: 0)) {
2142 bmap
= isl_basic_map_cow(bmap
);
2146 bmap
->dim
= isl_dim_move(bmap
->dim
, dst_type
, dst_pos
,
2147 src_type
, src_pos
, n
);
2154 total
= isl_basic_map_total_dim(bmap
);
2155 dim_map
= isl_dim_map_alloc(bmap
->ctx
, total
);
2158 for (t
= isl_dim_param
; t
<= isl_dim_out
; ++t
) {
2159 unsigned size
= isl_dim_size(bmap
->dim
, t
);
2160 if (t
== dst_type
) {
2161 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
2164 isl_dim_map_dim_range(dim_map
, bmap
->dim
, src_type
,
2167 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
2168 dst_pos
, size
- dst_pos
, off
);
2169 off
+= size
- dst_pos
;
2170 } else if (t
== src_type
) {
2171 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
2174 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
2175 src_pos
+ n
, size
- src_pos
- n
, off
);
2176 off
+= size
- src_pos
- n
;
2178 isl_dim_map_dim(dim_map
, bmap
->dim
, t
, off
);
2182 isl_dim_map_div(dim_map
, bmap
, off
+ n
);
2184 res
= isl_basic_map_alloc_dim(isl_basic_map_get_dim(bmap
),
2185 bmap
->n_div
, bmap
->n_eq
, bmap
->n_ineq
);
2186 bmap
= add_constraints_dim_map(res
, bmap
, dim_map
);
2188 bmap
->dim
= isl_dim_move(bmap
->dim
, dst_type
, dst_pos
,
2189 src_type
, src_pos
, n
);
2193 ISL_F_CLR(bmap
, ISL_BASIC_MAP_NORMALIZED
);
2194 bmap
= isl_basic_map_gauss(bmap
, NULL
);
2195 bmap
= isl_basic_map_finalize(bmap
);
2199 isl_basic_map_free(bmap
);
2203 __isl_give isl_basic_set
*isl_basic_set_move_dims(__isl_take isl_basic_set
*bset
,
2204 enum isl_dim_type dst_type
, unsigned dst_pos
,
2205 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
2207 return (isl_basic_set
*)isl_basic_map_move_dims(
2208 (isl_basic_map
*)bset
, dst_type
, dst_pos
, src_type
, src_pos
, n
);
2211 __isl_give isl_set
*isl_set_move_dims(__isl_take isl_set
*set
,
2212 enum isl_dim_type dst_type
, unsigned dst_pos
,
2213 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
2217 isl_assert(set
->ctx
, dst_type
!= isl_dim_in
, goto error
);
2218 return (isl_set
*)isl_map_move_dims((isl_map
*)set
, dst_type
, dst_pos
,
2219 src_type
, src_pos
, n
);
2225 __isl_give isl_map
*isl_map_move_dims(__isl_take isl_map
*map
,
2226 enum isl_dim_type dst_type
, unsigned dst_pos
,
2227 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
2236 isl_assert(map
->ctx
, src_pos
+ n
<= isl_map_dim(map
, src_type
),
2239 if (dst_type
== src_type
&& dst_pos
== src_pos
)
2242 isl_assert(map
->ctx
, dst_type
!= src_type
, goto error
);
2244 map
= isl_map_cow(map
);
2248 map
->dim
= isl_dim_move(map
->dim
, dst_type
, dst_pos
, src_type
, src_pos
, n
);
2252 for (i
= 0; i
< map
->n
; ++i
) {
2253 map
->p
[i
] = isl_basic_map_move_dims(map
->p
[i
],
2255 src_type
, src_pos
, n
);
2266 /* Move the specified dimensions to the last columns right before
2267 * the divs. Don't change the dimension specification of bmap.
2268 * That's the responsibility of the caller.
2270 static __isl_give isl_basic_map
*move_last(__isl_take isl_basic_map
*bmap
,
2271 enum isl_dim_type type
, unsigned first
, unsigned n
)
2273 struct isl_dim_map
*dim_map
;
2274 struct isl_basic_map
*res
;
2275 enum isl_dim_type t
;
2276 unsigned total
, off
;
2280 if (pos(bmap
->dim
, type
) + first
+ n
== 1 + isl_dim_total(bmap
->dim
))
2283 total
= isl_basic_map_total_dim(bmap
);
2284 dim_map
= isl_dim_map_alloc(bmap
->ctx
, total
);
2287 for (t
= isl_dim_param
; t
<= isl_dim_out
; ++t
) {
2288 unsigned size
= isl_dim_size(bmap
->dim
, t
);
2290 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
2293 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
2294 first
, n
, total
- bmap
->n_div
- n
);
2295 isl_dim_map_dim_range(dim_map
, bmap
->dim
, t
,
2296 first
+ n
, size
- (first
+ n
), off
);
2297 off
+= size
- (first
+ n
);
2299 isl_dim_map_dim(dim_map
, bmap
->dim
, t
, off
);
2303 isl_dim_map_div(dim_map
, bmap
, off
+ n
);
2305 res
= isl_basic_map_alloc_dim(isl_basic_map_get_dim(bmap
),
2306 bmap
->n_div
, bmap
->n_eq
, bmap
->n_ineq
);
2307 res
= add_constraints_dim_map(res
, bmap
, dim_map
);
2311 /* Turn the n dimensions of type type, starting at first
2312 * into existentially quantified variables.
2314 __isl_give isl_basic_map
*isl_basic_map_project_out(
2315 __isl_take isl_basic_map
*bmap
,
2316 enum isl_dim_type type
, unsigned first
, unsigned n
)
2329 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_RATIONAL
))
2330 return isl_basic_map_remove(bmap
, type
, first
, n
);
2332 isl_assert(bmap
->ctx
, first
+ n
<= isl_basic_map_dim(bmap
, type
),
2335 bmap
= move_last(bmap
, type
, first
, n
);
2336 bmap
= isl_basic_map_cow(bmap
);
2338 row_size
= 1 + isl_dim_total(bmap
->dim
) + bmap
->extra
;
2339 old
= bmap
->block2
.data
;
2340 bmap
->block2
= isl_blk_extend(bmap
->ctx
, bmap
->block2
,
2341 (bmap
->extra
+ n
) * (1 + row_size
));
2342 if (!bmap
->block2
.data
)
2344 new_div
= isl_alloc_array(ctx
, isl_int
*, bmap
->extra
+ n
);
2347 for (i
= 0; i
< n
; ++i
) {
2348 new_div
[i
] = bmap
->block2
.data
+
2349 (bmap
->extra
+ i
) * (1 + row_size
);
2350 isl_seq_clr(new_div
[i
], 1 + row_size
);
2352 for (i
= 0; i
< bmap
->extra
; ++i
)
2353 new_div
[n
+ i
] = bmap
->block2
.data
+ (bmap
->div
[i
] - old
);
2355 bmap
->div
= new_div
;
2359 bmap
->dim
= isl_dim_drop(bmap
->dim
, type
, first
, n
);
2362 bmap
= isl_basic_map_simplify(bmap
);
2363 bmap
= isl_basic_map_drop_redundant_divs(bmap
);
2364 return isl_basic_map_finalize(bmap
);
2366 isl_basic_map_free(bmap
);
2370 /* Turn the n dimensions of type type, starting at first
2371 * into existentially quantified variables.
2373 struct isl_basic_set
*isl_basic_set_project_out(struct isl_basic_set
*bset
,
2374 enum isl_dim_type type
, unsigned first
, unsigned n
)
2376 return (isl_basic_set
*)isl_basic_map_project_out(
2377 (isl_basic_map
*)bset
, type
, first
, n
);
2380 /* Turn the n dimensions of type type, starting at first
2381 * into existentially quantified variables.
2383 __isl_give isl_map
*isl_map_project_out(__isl_take isl_map
*map
,
2384 enum isl_dim_type type
, unsigned first
, unsigned n
)
2394 isl_assert(map
->ctx
, first
+ n
<= isl_map_dim(map
, type
), goto error
);
2396 map
= isl_map_cow(map
);
2400 map
->dim
= isl_dim_drop(map
->dim
, type
, first
, n
);
2404 for (i
= 0; i
< map
->n
; ++i
) {
2405 map
->p
[i
] = isl_basic_map_project_out(map
->p
[i
], type
, first
, n
);
2416 /* Turn the n dimensions of type type, starting at first
2417 * into existentially quantified variables.
2419 __isl_give isl_set
*isl_set_project_out(__isl_take isl_set
*set
,
2420 enum isl_dim_type type
, unsigned first
, unsigned n
)
2422 return (isl_set
*)isl_map_project_out((isl_map
*)set
, type
, first
, n
);
2425 static struct isl_basic_map
*add_divs(struct isl_basic_map
*bmap
, unsigned n
)
2429 for (i
= 0; i
< n
; ++i
) {
2430 j
= isl_basic_map_alloc_div(bmap
);
2433 isl_seq_clr(bmap
->div
[j
], 1+1+isl_basic_map_total_dim(bmap
));
2437 isl_basic_map_free(bmap
);
2441 struct isl_basic_map
*isl_basic_map_apply_range(
2442 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
2444 struct isl_dim
*dim_result
= NULL
;
2445 struct isl_basic_map
*bmap
;
2446 unsigned n_in
, n_out
, n
, nparam
, total
, pos
;
2447 struct isl_dim_map
*dim_map1
, *dim_map2
;
2449 if (!bmap1
|| !bmap2
)
2452 dim_result
= isl_dim_join(isl_dim_copy(bmap1
->dim
),
2453 isl_dim_copy(bmap2
->dim
));
2455 n_in
= isl_basic_map_n_in(bmap1
);
2456 n_out
= isl_basic_map_n_out(bmap2
);
2457 n
= isl_basic_map_n_out(bmap1
);
2458 nparam
= isl_basic_map_n_param(bmap1
);
2460 total
= nparam
+ n_in
+ n_out
+ bmap1
->n_div
+ bmap2
->n_div
+ n
;
2461 dim_map1
= isl_dim_map_alloc(bmap1
->ctx
, total
);
2462 dim_map2
= isl_dim_map_alloc(bmap1
->ctx
, total
);
2463 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_param
, pos
= 0);
2464 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_param
, pos
= 0);
2465 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_in
, pos
+= nparam
);
2466 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_out
, pos
+= n_in
);
2467 isl_dim_map_div(dim_map1
, bmap1
, pos
+= n_out
);
2468 isl_dim_map_div(dim_map2
, bmap2
, pos
+= bmap1
->n_div
);
2469 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_out
, pos
+= bmap2
->n_div
);
2470 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_in
, pos
);
2472 bmap
= isl_basic_map_alloc_dim(dim_result
,
2473 bmap1
->n_div
+ bmap2
->n_div
+ n
,
2474 bmap1
->n_eq
+ bmap2
->n_eq
,
2475 bmap1
->n_ineq
+ bmap2
->n_ineq
);
2476 bmap
= add_constraints_dim_map(bmap
, bmap1
, dim_map1
);
2477 bmap
= add_constraints_dim_map(bmap
, bmap2
, dim_map2
);
2478 bmap
= add_divs(bmap
, n
);
2479 bmap
= isl_basic_map_simplify(bmap
);
2480 bmap
= isl_basic_map_drop_redundant_divs(bmap
);
2481 return isl_basic_map_finalize(bmap
);
2483 isl_basic_map_free(bmap1
);
2484 isl_basic_map_free(bmap2
);
2488 struct isl_basic_set
*isl_basic_set_apply(
2489 struct isl_basic_set
*bset
, struct isl_basic_map
*bmap
)
2494 isl_assert(bset
->ctx
, isl_basic_map_compatible_domain(bmap
, bset
),
2497 return (struct isl_basic_set
*)
2498 isl_basic_map_apply_range((struct isl_basic_map
*)bset
, bmap
);
2500 isl_basic_set_free(bset
);
2501 isl_basic_map_free(bmap
);
2505 struct isl_basic_map
*isl_basic_map_apply_domain(
2506 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
2508 if (!bmap1
|| !bmap2
)
2511 isl_assert(bmap1
->ctx
,
2512 isl_basic_map_n_in(bmap1
) == isl_basic_map_n_in(bmap2
), goto error
);
2513 isl_assert(bmap1
->ctx
,
2514 isl_basic_map_n_param(bmap1
) == isl_basic_map_n_param(bmap2
),
2517 bmap1
= isl_basic_map_reverse(bmap1
);
2518 bmap1
= isl_basic_map_apply_range(bmap1
, bmap2
);
2519 return isl_basic_map_reverse(bmap1
);
2521 isl_basic_map_free(bmap1
);
2522 isl_basic_map_free(bmap2
);
2526 /* Given two basic maps A -> f(A) and B -> g(B), construct a basic map
2527 * A \cap B -> f(A) + f(B)
2529 struct isl_basic_map
*isl_basic_map_sum(
2530 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
2532 unsigned n_in
, n_out
, nparam
, total
, pos
;
2533 struct isl_basic_map
*bmap
= NULL
;
2534 struct isl_dim_map
*dim_map1
, *dim_map2
;
2537 if (!bmap1
|| !bmap2
)
2540 isl_assert(bmap1
->ctx
, isl_dim_equal(bmap1
->dim
, bmap2
->dim
),
2543 nparam
= isl_basic_map_n_param(bmap1
);
2544 n_in
= isl_basic_map_n_in(bmap1
);
2545 n_out
= isl_basic_map_n_out(bmap1
);
2547 total
= nparam
+ n_in
+ n_out
+ bmap1
->n_div
+ bmap2
->n_div
+ 2 * n_out
;
2548 dim_map1
= isl_dim_map_alloc(bmap1
->ctx
, total
);
2549 dim_map2
= isl_dim_map_alloc(bmap2
->ctx
, total
);
2550 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_param
, pos
= 0);
2551 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_param
, pos
);
2552 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_in
, pos
+= nparam
);
2553 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_in
, pos
);
2554 isl_dim_map_div(dim_map1
, bmap1
, pos
+= n_in
+ n_out
);
2555 isl_dim_map_div(dim_map2
, bmap2
, pos
+= bmap1
->n_div
);
2556 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_out
, pos
+= bmap2
->n_div
);
2557 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_out
, pos
+= n_out
);
2559 bmap
= isl_basic_map_alloc_dim(isl_dim_copy(bmap1
->dim
),
2560 bmap1
->n_div
+ bmap2
->n_div
+ 2 * n_out
,
2561 bmap1
->n_eq
+ bmap2
->n_eq
+ n_out
,
2562 bmap1
->n_ineq
+ bmap2
->n_ineq
);
2563 for (i
= 0; i
< n_out
; ++i
) {
2564 int j
= isl_basic_map_alloc_equality(bmap
);
2567 isl_seq_clr(bmap
->eq
[j
], 1+total
);
2568 isl_int_set_si(bmap
->eq
[j
][1+nparam
+n_in
+i
], -1);
2569 isl_int_set_si(bmap
->eq
[j
][1+pos
+i
], 1);
2570 isl_int_set_si(bmap
->eq
[j
][1+pos
-n_out
+i
], 1);
2572 bmap
= add_constraints_dim_map(bmap
, bmap1
, dim_map1
);
2573 bmap
= add_constraints_dim_map(bmap
, bmap2
, dim_map2
);
2574 bmap
= add_divs(bmap
, 2 * n_out
);
2576 bmap
= isl_basic_map_simplify(bmap
);
2577 return isl_basic_map_finalize(bmap
);
2579 isl_basic_map_free(bmap
);
2580 isl_basic_map_free(bmap1
);
2581 isl_basic_map_free(bmap2
);
2585 /* Given two maps A -> f(A) and B -> g(B), construct a map
2586 * A \cap B -> f(A) + f(B)
2588 struct isl_map
*isl_map_sum(struct isl_map
*map1
, struct isl_map
*map2
)
2590 struct isl_map
*result
;
2596 isl_assert(map1
->ctx
, isl_dim_equal(map1
->dim
, map2
->dim
), goto error
);
2598 result
= isl_map_alloc_dim(isl_dim_copy(map1
->dim
),
2599 map1
->n
* map2
->n
, 0);
2602 for (i
= 0; i
< map1
->n
; ++i
)
2603 for (j
= 0; j
< map2
->n
; ++j
) {
2604 struct isl_basic_map
*part
;
2605 part
= isl_basic_map_sum(
2606 isl_basic_map_copy(map1
->p
[i
]),
2607 isl_basic_map_copy(map2
->p
[j
]));
2608 if (isl_basic_map_is_empty(part
))
2609 isl_basic_map_free(part
);
2611 result
= isl_map_add_basic_map(result
, part
);
2624 __isl_give isl_set
*isl_set_sum(__isl_take isl_set
*set1
,
2625 __isl_take isl_set
*set2
)
2627 return (isl_set
*)isl_map_sum((isl_map
*)set1
, (isl_map
*)set2
);
2630 /* Given a basic map A -> f(A), construct A -> -f(A).
2632 struct isl_basic_map
*isl_basic_map_neg(struct isl_basic_map
*bmap
)
2637 bmap
= isl_basic_map_cow(bmap
);
2641 n
= isl_basic_map_dim(bmap
, isl_dim_out
);
2642 off
= isl_basic_map_offset(bmap
, isl_dim_out
);
2643 for (i
= 0; i
< bmap
->n_eq
; ++i
)
2644 for (j
= 0; j
< n
; ++j
)
2645 isl_int_neg(bmap
->eq
[i
][off
+j
], bmap
->eq
[i
][off
+j
]);
2646 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
2647 for (j
= 0; j
< n
; ++j
)
2648 isl_int_neg(bmap
->ineq
[i
][off
+j
], bmap
->ineq
[i
][off
+j
]);
2649 for (i
= 0; i
< bmap
->n_div
; ++i
)
2650 for (j
= 0; j
< n
; ++j
)
2651 isl_int_neg(bmap
->div
[i
][1+off
+j
], bmap
->div
[i
][1+off
+j
]);
2652 return isl_basic_map_finalize(bmap
);
2655 /* Given a map A -> f(A), construct A -> -f(A).
2657 struct isl_map
*isl_map_neg(struct isl_map
*map
)
2661 map
= isl_map_cow(map
);
2665 for (i
= 0; i
< map
->n
; ++i
) {
2666 map
->p
[i
] = isl_basic_map_neg(map
->p
[i
]);
2677 __isl_give isl_set
*isl_set_neg(__isl_take isl_set
*set
)
2679 return (isl_set
*)isl_map_neg((isl_map
*)set
);
2682 /* Given a basic map A -> f(A) and an integer d, construct a basic map
2683 * A -> floor(f(A)/d).
2685 struct isl_basic_map
*isl_basic_map_floordiv(struct isl_basic_map
*bmap
,
2688 unsigned n_in
, n_out
, nparam
, total
, pos
;
2689 struct isl_basic_map
*result
= NULL
;
2690 struct isl_dim_map
*dim_map
;
2696 nparam
= isl_basic_map_n_param(bmap
);
2697 n_in
= isl_basic_map_n_in(bmap
);
2698 n_out
= isl_basic_map_n_out(bmap
);
2700 total
= nparam
+ n_in
+ n_out
+ bmap
->n_div
+ n_out
;
2701 dim_map
= isl_dim_map_alloc(bmap
->ctx
, total
);
2702 isl_dim_map_dim(dim_map
, bmap
->dim
, isl_dim_param
, pos
= 0);
2703 isl_dim_map_dim(dim_map
, bmap
->dim
, isl_dim_in
, pos
+= nparam
);
2704 isl_dim_map_div(dim_map
, bmap
, pos
+= n_in
+ n_out
);
2705 isl_dim_map_dim(dim_map
, bmap
->dim
, isl_dim_out
, pos
+= bmap
->n_div
);
2707 result
= isl_basic_map_alloc_dim(isl_dim_copy(bmap
->dim
),
2708 bmap
->n_div
+ n_out
,
2709 bmap
->n_eq
, bmap
->n_ineq
+ 2 * n_out
);
2710 result
= add_constraints_dim_map(result
, bmap
, dim_map
);
2711 result
= add_divs(result
, n_out
);
2712 for (i
= 0; i
< n_out
; ++i
) {
2714 j
= isl_basic_map_alloc_inequality(result
);
2717 isl_seq_clr(result
->ineq
[j
], 1+total
);
2718 isl_int_neg(result
->ineq
[j
][1+nparam
+n_in
+i
], d
);
2719 isl_int_set_si(result
->ineq
[j
][1+pos
+i
], 1);
2720 j
= isl_basic_map_alloc_inequality(result
);
2723 isl_seq_clr(result
->ineq
[j
], 1+total
);
2724 isl_int_set(result
->ineq
[j
][1+nparam
+n_in
+i
], d
);
2725 isl_int_set_si(result
->ineq
[j
][1+pos
+i
], -1);
2726 isl_int_sub_ui(result
->ineq
[j
][0], d
, 1);
2729 result
= isl_basic_map_simplify(result
);
2730 return isl_basic_map_finalize(result
);
2732 isl_basic_map_free(result
);
2736 /* Given a map A -> f(A) and an integer d, construct a map
2737 * A -> floor(f(A)/d).
2739 struct isl_map
*isl_map_floordiv(struct isl_map
*map
, isl_int d
)
2743 map
= isl_map_cow(map
);
2747 ISL_F_CLR(map
, ISL_MAP_DISJOINT
);
2748 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
2749 for (i
= 0; i
< map
->n
; ++i
) {
2750 map
->p
[i
] = isl_basic_map_floordiv(map
->p
[i
], d
);
2761 static struct isl_basic_map
*var_equal(struct isl_basic_map
*bmap
, unsigned pos
)
2767 i
= isl_basic_map_alloc_equality(bmap
);
2770 nparam
= isl_basic_map_n_param(bmap
);
2771 n_in
= isl_basic_map_n_in(bmap
);
2772 isl_seq_clr(bmap
->eq
[i
], 1 + isl_basic_map_total_dim(bmap
));
2773 isl_int_set_si(bmap
->eq
[i
][1+nparam
+pos
], -1);
2774 isl_int_set_si(bmap
->eq
[i
][1+nparam
+n_in
+pos
], 1);
2775 return isl_basic_map_finalize(bmap
);
2777 isl_basic_map_free(bmap
);
2781 /* Add a constraints to "bmap" expressing i_pos < o_pos
2783 static struct isl_basic_map
*var_less(struct isl_basic_map
*bmap
, unsigned pos
)
2789 i
= isl_basic_map_alloc_inequality(bmap
);
2792 nparam
= isl_basic_map_n_param(bmap
);
2793 n_in
= isl_basic_map_n_in(bmap
);
2794 isl_seq_clr(bmap
->ineq
[i
], 1 + isl_basic_map_total_dim(bmap
));
2795 isl_int_set_si(bmap
->ineq
[i
][0], -1);
2796 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+pos
], -1);
2797 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+n_in
+pos
], 1);
2798 return isl_basic_map_finalize(bmap
);
2800 isl_basic_map_free(bmap
);
2804 /* Add a constraint to "bmap" expressing i_pos <= o_pos
2806 static __isl_give isl_basic_map
*var_less_or_equal(
2807 __isl_take isl_basic_map
*bmap
, unsigned pos
)
2813 i
= isl_basic_map_alloc_inequality(bmap
);
2816 nparam
= isl_basic_map_n_param(bmap
);
2817 n_in
= isl_basic_map_n_in(bmap
);
2818 isl_seq_clr(bmap
->ineq
[i
], 1 + isl_basic_map_total_dim(bmap
));
2819 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+pos
], -1);
2820 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+n_in
+pos
], 1);
2821 return isl_basic_map_finalize(bmap
);
2823 isl_basic_map_free(bmap
);
2827 /* Add a constraints to "bmap" expressing i_pos > o_pos
2829 static struct isl_basic_map
*var_more(struct isl_basic_map
*bmap
, unsigned pos
)
2835 i
= isl_basic_map_alloc_inequality(bmap
);
2838 nparam
= isl_basic_map_n_param(bmap
);
2839 n_in
= isl_basic_map_n_in(bmap
);
2840 isl_seq_clr(bmap
->ineq
[i
], 1 + isl_basic_map_total_dim(bmap
));
2841 isl_int_set_si(bmap
->ineq
[i
][0], -1);
2842 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+pos
], 1);
2843 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+n_in
+pos
], -1);
2844 return isl_basic_map_finalize(bmap
);
2846 isl_basic_map_free(bmap
);
2850 /* Add a constraint to "bmap" expressing i_pos >= o_pos
2852 static __isl_give isl_basic_map
*var_more_or_equal(
2853 __isl_take isl_basic_map
*bmap
, unsigned pos
)
2859 i
= isl_basic_map_alloc_inequality(bmap
);
2862 nparam
= isl_basic_map_n_param(bmap
);
2863 n_in
= isl_basic_map_n_in(bmap
);
2864 isl_seq_clr(bmap
->ineq
[i
], 1 + isl_basic_map_total_dim(bmap
));
2865 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+pos
], 1);
2866 isl_int_set_si(bmap
->ineq
[i
][1+nparam
+n_in
+pos
], -1);
2867 return isl_basic_map_finalize(bmap
);
2869 isl_basic_map_free(bmap
);
2873 struct isl_basic_map
*isl_basic_map_equal(struct isl_dim
*dim
, unsigned n_equal
)
2876 struct isl_basic_map
*bmap
;
2877 bmap
= isl_basic_map_alloc_dim(dim
, 0, n_equal
, 0);
2880 for (i
= 0; i
< n_equal
&& bmap
; ++i
)
2881 bmap
= var_equal(bmap
, i
);
2882 return isl_basic_map_finalize(bmap
);
2885 /* Return a relation on of dimension "dim" expressing i_[0..pos] << o_[0..pos]
2887 struct isl_basic_map
*isl_basic_map_less_at(struct isl_dim
*dim
, unsigned pos
)
2890 struct isl_basic_map
*bmap
;
2891 bmap
= isl_basic_map_alloc_dim(dim
, 0, pos
, 1);
2894 for (i
= 0; i
< pos
&& bmap
; ++i
)
2895 bmap
= var_equal(bmap
, i
);
2897 bmap
= var_less(bmap
, pos
);
2898 return isl_basic_map_finalize(bmap
);
2901 /* Return a relation on of dimension "dim" expressing i_[0..pos] <<= o_[0..pos]
2903 __isl_give isl_basic_map
*isl_basic_map_less_or_equal_at(
2904 __isl_take isl_dim
*dim
, unsigned pos
)
2907 isl_basic_map
*bmap
;
2909 bmap
= isl_basic_map_alloc_dim(dim
, 0, pos
, 1);
2910 for (i
= 0; i
< pos
; ++i
)
2911 bmap
= var_equal(bmap
, i
);
2912 bmap
= var_less_or_equal(bmap
, pos
);
2913 return isl_basic_map_finalize(bmap
);
2916 /* Return a relation on pairs of sets of dimension "dim" expressing i_pos > o_pos
2918 struct isl_basic_map
*isl_basic_map_more_at(struct isl_dim
*dim
, unsigned pos
)
2921 struct isl_basic_map
*bmap
;
2922 bmap
= isl_basic_map_alloc_dim(dim
, 0, pos
, 1);
2925 for (i
= 0; i
< pos
&& bmap
; ++i
)
2926 bmap
= var_equal(bmap
, i
);
2928 bmap
= var_more(bmap
, pos
);
2929 return isl_basic_map_finalize(bmap
);
2932 /* Return a relation on of dimension "dim" expressing i_[0..pos] >>= o_[0..pos]
2934 __isl_give isl_basic_map
*isl_basic_map_more_or_equal_at(
2935 __isl_take isl_dim
*dim
, unsigned pos
)
2938 isl_basic_map
*bmap
;
2940 bmap
= isl_basic_map_alloc_dim(dim
, 0, pos
, 1);
2941 for (i
= 0; i
< pos
; ++i
)
2942 bmap
= var_equal(bmap
, i
);
2943 bmap
= var_more_or_equal(bmap
, pos
);
2944 return isl_basic_map_finalize(bmap
);
2947 static __isl_give isl_map
*map_lex_lte_first(__isl_take isl_dim
*dims
,
2948 unsigned n
, int equal
)
2950 struct isl_map
*map
;
2953 map
= isl_map_alloc_dim(isl_dim_copy(dims
), n
, ISL_MAP_DISJOINT
);
2955 for (i
= 0; i
+ 1 < n
; ++i
)
2956 map
= isl_map_add_basic_map(map
,
2957 isl_basic_map_less_at(isl_dim_copy(dims
), i
));
2960 map
= isl_map_add_basic_map(map
,
2961 isl_basic_map_less_or_equal_at(dims
, n
- 1));
2963 map
= isl_map_add_basic_map(map
,
2964 isl_basic_map_less_at(dims
, n
- 1));
2971 static __isl_give isl_map
*map_lex_lte(__isl_take isl_dim
*dims
, int equal
)
2975 return map_lex_lte_first(dims
, dims
->n_out
, equal
);
2978 __isl_give isl_map
*isl_map_lex_lt_first(__isl_take isl_dim
*dim
, unsigned n
)
2980 return map_lex_lte_first(dim
, n
, 0);
2983 __isl_give isl_map
*isl_map_lex_le_first(__isl_take isl_dim
*dim
, unsigned n
)
2985 return map_lex_lte_first(dim
, n
, 1);
2988 __isl_give isl_map
*isl_map_lex_lt(__isl_take isl_dim
*set_dim
)
2990 return map_lex_lte(isl_dim_map(set_dim
), 0);
2993 __isl_give isl_map
*isl_map_lex_le(__isl_take isl_dim
*set_dim
)
2995 return map_lex_lte(isl_dim_map(set_dim
), 1);
2998 static __isl_give isl_map
*map_lex_gte_first(__isl_take isl_dim
*dims
,
2999 unsigned n
, int equal
)
3001 struct isl_map
*map
;
3004 map
= isl_map_alloc_dim(isl_dim_copy(dims
), n
, ISL_MAP_DISJOINT
);
3006 for (i
= 0; i
+ 1 < n
; ++i
)
3007 map
= isl_map_add_basic_map(map
,
3008 isl_basic_map_more_at(isl_dim_copy(dims
), i
));
3011 map
= isl_map_add_basic_map(map
,
3012 isl_basic_map_more_or_equal_at(dims
, n
- 1));
3014 map
= isl_map_add_basic_map(map
,
3015 isl_basic_map_more_at(dims
, n
- 1));
3022 static __isl_give isl_map
*map_lex_gte(__isl_take isl_dim
*dims
, int equal
)
3026 return map_lex_gte_first(dims
, dims
->n_out
, equal
);
3029 __isl_give isl_map
*isl_map_lex_gt_first(__isl_take isl_dim
*dim
, unsigned n
)
3031 return map_lex_gte_first(dim
, n
, 0);
3034 __isl_give isl_map
*isl_map_lex_ge_first(__isl_take isl_dim
*dim
, unsigned n
)
3036 return map_lex_gte_first(dim
, n
, 1);
3039 __isl_give isl_map
*isl_map_lex_gt(__isl_take isl_dim
*set_dim
)
3041 return map_lex_gte(isl_dim_map(set_dim
), 0);
3044 __isl_give isl_map
*isl_map_lex_ge(__isl_take isl_dim
*set_dim
)
3046 return map_lex_gte(isl_dim_map(set_dim
), 1);
3049 struct isl_basic_map
*isl_basic_map_from_basic_set(
3050 struct isl_basic_set
*bset
, struct isl_dim
*dim
)
3052 struct isl_basic_map
*bmap
;
3054 bset
= isl_basic_set_cow(bset
);
3058 isl_assert(bset
->ctx
, isl_dim_compatible(bset
->dim
, dim
), goto error
);
3059 isl_dim_free(bset
->dim
);
3060 bmap
= (struct isl_basic_map
*) bset
;
3062 return isl_basic_map_finalize(bmap
);
3064 isl_basic_set_free(bset
);
3069 struct isl_basic_set
*isl_basic_set_from_basic_map(struct isl_basic_map
*bmap
)
3073 if (bmap
->dim
->n_in
== 0)
3074 return (struct isl_basic_set
*)bmap
;
3075 bmap
= isl_basic_map_cow(bmap
);
3078 bmap
->dim
= isl_dim_cow(bmap
->dim
);
3081 bmap
->dim
->n_out
+= bmap
->dim
->n_in
;
3082 bmap
->dim
->n_in
= 0;
3083 bmap
= isl_basic_map_finalize(bmap
);
3084 return (struct isl_basic_set
*)bmap
;
3086 isl_basic_map_free(bmap
);
3090 /* For a div d = floor(f/m), add the constraints
3093 * -(f-(n-1)) + m d >= 0
3095 * Note that the second constraint is the negation of
3099 int isl_basic_map_add_div_constraints_var(__isl_keep isl_basic_map
*bmap
,
3100 unsigned pos
, isl_int
*div
)
3103 unsigned total
= isl_basic_map_total_dim(bmap
);
3105 i
= isl_basic_map_alloc_inequality(bmap
);
3108 isl_seq_cpy(bmap
->ineq
[i
], div
+ 1, 1 + total
);
3109 isl_int_neg(bmap
->ineq
[i
][1 + pos
], div
[0]);
3111 j
= isl_basic_map_alloc_inequality(bmap
);
3114 isl_seq_neg(bmap
->ineq
[j
], bmap
->ineq
[i
], 1 + total
);
3115 isl_int_add(bmap
->ineq
[j
][0], bmap
->ineq
[j
][0], bmap
->ineq
[j
][1 + pos
]);
3116 isl_int_sub_ui(bmap
->ineq
[j
][0], bmap
->ineq
[j
][0], 1);
3120 int isl_basic_set_add_div_constraints_var(__isl_keep isl_basic_set
*bset
,
3121 unsigned pos
, isl_int
*div
)
3123 return isl_basic_map_add_div_constraints_var((isl_basic_map
*)bset
,
3127 int isl_basic_map_add_div_constraints(struct isl_basic_map
*bmap
, unsigned div
)
3129 unsigned total
= isl_basic_map_total_dim(bmap
);
3130 unsigned div_pos
= total
- bmap
->n_div
+ div
;
3132 return isl_basic_map_add_div_constraints_var(bmap
, div_pos
,
3136 struct isl_basic_set
*isl_basic_map_underlying_set(
3137 struct isl_basic_map
*bmap
)
3141 if (bmap
->dim
->nparam
== 0 && bmap
->dim
->n_in
== 0 && bmap
->n_div
== 0)
3142 return (struct isl_basic_set
*)bmap
;
3143 bmap
= isl_basic_map_cow(bmap
);
3146 bmap
->dim
= isl_dim_underlying(bmap
->dim
, bmap
->n_div
);
3149 bmap
->extra
-= bmap
->n_div
;
3151 bmap
= isl_basic_map_finalize(bmap
);
3152 return (struct isl_basic_set
*)bmap
;
3157 __isl_give isl_basic_set
*isl_basic_set_underlying_set(
3158 __isl_take isl_basic_set
*bset
)
3160 return isl_basic_map_underlying_set((isl_basic_map
*)bset
);
3163 struct isl_basic_map
*isl_basic_map_overlying_set(
3164 struct isl_basic_set
*bset
, struct isl_basic_map
*like
)
3166 struct isl_basic_map
*bmap
;
3167 struct isl_ctx
*ctx
;
3174 isl_assert(ctx
, bset
->n_div
== 0, goto error
);
3175 isl_assert(ctx
, isl_basic_set_n_param(bset
) == 0, goto error
);
3176 isl_assert(ctx
, bset
->dim
->n_out
== isl_basic_map_total_dim(like
),
3178 if (isl_dim_equal(bset
->dim
, like
->dim
) && like
->n_div
== 0) {
3179 isl_basic_map_free(like
);
3180 return (struct isl_basic_map
*)bset
;
3182 bset
= isl_basic_set_cow(bset
);
3185 total
= bset
->dim
->n_out
+ bset
->extra
;
3186 bmap
= (struct isl_basic_map
*)bset
;
3187 isl_dim_free(bmap
->dim
);
3188 bmap
->dim
= isl_dim_copy(like
->dim
);
3191 bmap
->n_div
= like
->n_div
;
3192 bmap
->extra
+= like
->n_div
;
3195 ltotal
= total
- bmap
->extra
+ like
->extra
;
3198 bmap
->block2
= isl_blk_extend(ctx
, bmap
->block2
,
3199 bmap
->extra
* (1 + 1 + total
));
3200 if (isl_blk_is_error(bmap
->block2
))
3202 bmap
->div
= isl_realloc_array(ctx
, bmap
->div
, isl_int
*,
3206 for (i
= 0; i
< bmap
->extra
; ++i
)
3207 bmap
->div
[i
] = bmap
->block2
.data
+ i
* (1 + 1 + total
);
3208 for (i
= 0; i
< like
->n_div
; ++i
) {
3209 isl_seq_cpy(bmap
->div
[i
], like
->div
[i
], 1 + 1 + ltotal
);
3210 isl_seq_clr(bmap
->div
[i
]+1+1+ltotal
, total
- ltotal
);
3212 bmap
= isl_basic_map_extend_constraints(bmap
,
3213 0, 2 * like
->n_div
);
3214 for (i
= 0; i
< like
->n_div
; ++i
) {
3215 if (isl_int_is_zero(bmap
->div
[i
][0]))
3217 if (isl_basic_map_add_div_constraints(bmap
, i
) < 0)
3221 isl_basic_map_free(like
);
3222 bmap
= isl_basic_map_simplify(bmap
);
3223 bmap
= isl_basic_map_finalize(bmap
);
3226 isl_basic_map_free(like
);
3227 isl_basic_set_free(bset
);
3231 struct isl_basic_set
*isl_basic_set_from_underlying_set(
3232 struct isl_basic_set
*bset
, struct isl_basic_set
*like
)
3234 return (struct isl_basic_set
*)
3235 isl_basic_map_overlying_set(bset
, (struct isl_basic_map
*)like
);
3238 struct isl_set
*isl_set_from_underlying_set(
3239 struct isl_set
*set
, struct isl_basic_set
*like
)
3245 isl_assert(set
->ctx
, set
->dim
->n_out
== isl_basic_set_total_dim(like
),
3247 if (isl_dim_equal(set
->dim
, like
->dim
) && like
->n_div
== 0) {
3248 isl_basic_set_free(like
);
3251 set
= isl_set_cow(set
);
3254 for (i
= 0; i
< set
->n
; ++i
) {
3255 set
->p
[i
] = isl_basic_set_from_underlying_set(set
->p
[i
],
3256 isl_basic_set_copy(like
));
3260 isl_dim_free(set
->dim
);
3261 set
->dim
= isl_dim_copy(like
->dim
);
3264 isl_basic_set_free(like
);
3267 isl_basic_set_free(like
);
3272 struct isl_set
*isl_map_underlying_set(struct isl_map
*map
)
3276 map
= isl_map_cow(map
);
3279 map
->dim
= isl_dim_cow(map
->dim
);
3283 for (i
= 1; i
< map
->n
; ++i
)
3284 isl_assert(map
->ctx
, map
->p
[0]->n_div
== map
->p
[i
]->n_div
,
3286 for (i
= 0; i
< map
->n
; ++i
) {
3287 map
->p
[i
] = (struct isl_basic_map
*)
3288 isl_basic_map_underlying_set(map
->p
[i
]);
3293 map
->dim
= isl_dim_underlying(map
->dim
, 0);
3295 isl_dim_free(map
->dim
);
3296 map
->dim
= isl_dim_copy(map
->p
[0]->dim
);
3300 return (struct isl_set
*)map
;
3306 struct isl_set
*isl_set_to_underlying_set(struct isl_set
*set
)
3308 return (struct isl_set
*)isl_map_underlying_set((struct isl_map
*)set
);
3311 struct isl_basic_set
*isl_basic_map_domain(struct isl_basic_map
*bmap
)
3313 struct isl_basic_set
*domain
;
3318 n_in
= isl_basic_map_n_in(bmap
);
3319 n_out
= isl_basic_map_n_out(bmap
);
3320 domain
= isl_basic_set_from_basic_map(bmap
);
3321 return isl_basic_set_project_out(domain
, isl_dim_set
, n_in
, n_out
);
3324 struct isl_basic_set
*isl_basic_map_range(struct isl_basic_map
*bmap
)
3326 return isl_basic_map_domain(isl_basic_map_reverse(bmap
));
3329 struct isl_set
*isl_map_range(struct isl_map
*map
)
3332 struct isl_set
*set
;
3336 if (isl_map_dim(map
, isl_dim_in
) == 0)
3337 return (isl_set
*)map
;
3339 map
= isl_map_cow(map
);
3343 set
= (struct isl_set
*) map
;
3344 set
->dim
= isl_dim_drop_inputs(set
->dim
, 0, set
->dim
->n_in
);
3347 for (i
= 0; i
< map
->n
; ++i
) {
3348 set
->p
[i
] = isl_basic_map_range(map
->p
[i
]);
3352 ISL_F_CLR(set
, ISL_MAP_DISJOINT
);
3353 ISL_F_CLR(set
, ISL_SET_NORMALIZED
);
3360 struct isl_map
*isl_map_from_set(struct isl_set
*set
, struct isl_dim
*dim
)
3363 struct isl_map
*map
= NULL
;
3365 set
= isl_set_cow(set
);
3368 isl_assert(set
->ctx
, isl_dim_compatible(set
->dim
, dim
), goto error
);
3369 map
= (struct isl_map
*)set
;
3370 for (i
= 0; i
< set
->n
; ++i
) {
3371 map
->p
[i
] = isl_basic_map_from_basic_set(
3372 set
->p
[i
], isl_dim_copy(dim
));
3376 isl_dim_free(map
->dim
);
3385 struct isl_map
*isl_map_from_range(struct isl_set
*set
)
3387 return (struct isl_map
*)set
;
3390 __isl_give isl_map
*isl_map_from_domain(__isl_take isl_set
*set
)
3392 return isl_map_reverse(isl_map_from_range(set
));;
3395 __isl_give isl_map
*isl_map_from_domain_and_range(__isl_take isl_set
*domain
,
3396 __isl_take isl_set
*range
)
3398 return isl_map_product(isl_map_from_domain(domain
),
3399 isl_map_from_range(range
));
3402 struct isl_set
*isl_set_from_map(struct isl_map
*map
)
3405 struct isl_set
*set
= NULL
;
3409 map
= isl_map_cow(map
);
3412 map
->dim
= isl_dim_cow(map
->dim
);
3415 map
->dim
->n_out
+= map
->dim
->n_in
;
3417 set
= (struct isl_set
*)map
;
3418 for (i
= 0; i
< map
->n
; ++i
) {
3419 set
->p
[i
] = isl_basic_set_from_basic_map(map
->p
[i
]);
3429 struct isl_map
*isl_map_alloc_dim(struct isl_dim
*dim
, int n
, unsigned flags
)
3431 struct isl_map
*map
;
3435 isl_assert(dim
->ctx
, n
>= 0, return NULL
);
3436 map
= isl_alloc(dim
->ctx
, struct isl_map
,
3437 sizeof(struct isl_map
) +
3438 (n
- 1) * sizeof(struct isl_basic_map
*));
3442 map
->ctx
= dim
->ctx
;
3443 isl_ctx_ref(map
->ctx
);
3455 struct isl_map
*isl_map_alloc(struct isl_ctx
*ctx
,
3456 unsigned nparam
, unsigned in
, unsigned out
, int n
,
3459 struct isl_map
*map
;
3460 struct isl_dim
*dims
;
3462 dims
= isl_dim_alloc(ctx
, nparam
, in
, out
);
3466 map
= isl_map_alloc_dim(dims
, n
, flags
);
3470 struct isl_basic_map
*isl_basic_map_empty(struct isl_dim
*dim
)
3472 struct isl_basic_map
*bmap
;
3473 bmap
= isl_basic_map_alloc_dim(dim
, 0, 1, 0);
3474 bmap
= isl_basic_map_set_to_empty(bmap
);
3478 struct isl_basic_set
*isl_basic_set_empty(struct isl_dim
*dim
)
3480 struct isl_basic_set
*bset
;
3481 bset
= isl_basic_set_alloc_dim(dim
, 0, 1, 0);
3482 bset
= isl_basic_set_set_to_empty(bset
);
3486 struct isl_basic_map
*isl_basic_map_empty_like(struct isl_basic_map
*model
)
3488 struct isl_basic_map
*bmap
;
3491 bmap
= isl_basic_map_alloc_dim(isl_dim_copy(model
->dim
), 0, 1, 0);
3492 bmap
= isl_basic_map_set_to_empty(bmap
);
3496 struct isl_basic_map
*isl_basic_map_empty_like_map(struct isl_map
*model
)
3498 struct isl_basic_map
*bmap
;
3501 bmap
= isl_basic_map_alloc_dim(isl_dim_copy(model
->dim
), 0, 1, 0);
3502 bmap
= isl_basic_map_set_to_empty(bmap
);
3506 struct isl_basic_set
*isl_basic_set_empty_like(struct isl_basic_set
*model
)
3508 struct isl_basic_set
*bset
;
3511 bset
= isl_basic_set_alloc_dim(isl_dim_copy(model
->dim
), 0, 1, 0);
3512 bset
= isl_basic_set_set_to_empty(bset
);
3516 struct isl_basic_map
*isl_basic_map_universe(struct isl_dim
*dim
)
3518 struct isl_basic_map
*bmap
;
3519 bmap
= isl_basic_map_alloc_dim(dim
, 0, 0, 0);
3523 struct isl_basic_set
*isl_basic_set_universe(struct isl_dim
*dim
)
3525 struct isl_basic_set
*bset
;
3526 bset
= isl_basic_set_alloc_dim(dim
, 0, 0, 0);
3530 __isl_give isl_basic_map
*isl_basic_map_universe_like(
3531 __isl_keep isl_basic_map
*model
)
3535 return isl_basic_map_alloc_dim(isl_dim_copy(model
->dim
), 0, 0, 0);
3538 struct isl_basic_set
*isl_basic_set_universe_like(struct isl_basic_set
*model
)
3542 return isl_basic_set_alloc_dim(isl_dim_copy(model
->dim
), 0, 0, 0);
3545 __isl_give isl_basic_set
*isl_basic_set_universe_like_set(
3546 __isl_keep isl_set
*model
)
3550 return isl_basic_set_alloc_dim(isl_dim_copy(model
->dim
), 0, 0, 0);
3553 struct isl_map
*isl_map_empty(struct isl_dim
*dim
)
3555 return isl_map_alloc_dim(dim
, 0, ISL_MAP_DISJOINT
);
3558 struct isl_map
*isl_map_empty_like(struct isl_map
*model
)
3562 return isl_map_alloc_dim(isl_dim_copy(model
->dim
), 0, ISL_MAP_DISJOINT
);
3565 struct isl_map
*isl_map_empty_like_basic_map(struct isl_basic_map
*model
)
3569 return isl_map_alloc_dim(isl_dim_copy(model
->dim
), 0, ISL_MAP_DISJOINT
);
3572 struct isl_set
*isl_set_empty(struct isl_dim
*dim
)
3574 return isl_set_alloc_dim(dim
, 0, ISL_MAP_DISJOINT
);
3577 struct isl_set
*isl_set_empty_like(struct isl_set
*model
)
3581 return isl_set_empty(isl_dim_copy(model
->dim
));
3584 struct isl_map
*isl_map_universe(struct isl_dim
*dim
)
3586 struct isl_map
*map
;
3589 map
= isl_map_alloc_dim(isl_dim_copy(dim
), 1, ISL_MAP_DISJOINT
);
3590 map
= isl_map_add_basic_map(map
, isl_basic_map_universe(dim
));
3594 struct isl_set
*isl_set_universe(struct isl_dim
*dim
)
3596 struct isl_set
*set
;
3599 set
= isl_set_alloc_dim(isl_dim_copy(dim
), 1, ISL_MAP_DISJOINT
);
3600 set
= isl_set_add_basic_set(set
, isl_basic_set_universe(dim
));
3604 __isl_give isl_set
*isl_set_universe_like(__isl_keep isl_set
*model
)
3608 return isl_set_universe(isl_dim_copy(model
->dim
));
3611 struct isl_map
*isl_map_dup(struct isl_map
*map
)
3614 struct isl_map
*dup
;
3618 dup
= isl_map_alloc_dim(isl_dim_copy(map
->dim
), map
->n
, map
->flags
);
3619 for (i
= 0; i
< map
->n
; ++i
)
3620 dup
= isl_map_add_basic_map(dup
, isl_basic_map_copy(map
->p
[i
]));
3624 __isl_give isl_map
*isl_map_add_basic_map(__isl_take isl_map
*map
,
3625 __isl_take isl_basic_map
*bmap
)
3629 if (isl_basic_map_fast_is_empty(bmap
)) {
3630 isl_basic_map_free(bmap
);
3633 isl_assert(map
->ctx
, isl_dim_equal(map
->dim
, bmap
->dim
), goto error
);
3634 isl_assert(map
->ctx
, map
->n
< map
->size
, goto error
);
3635 map
->p
[map
->n
] = bmap
;
3637 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
3643 isl_basic_map_free(bmap
);
3647 void isl_map_free(struct isl_map
*map
)
3657 isl_ctx_deref(map
->ctx
);
3658 for (i
= 0; i
< map
->n
; ++i
)
3659 isl_basic_map_free(map
->p
[i
]);
3660 isl_dim_free(map
->dim
);
3664 struct isl_map
*isl_map_extend(struct isl_map
*base
,
3665 unsigned nparam
, unsigned n_in
, unsigned n_out
)
3669 base
= isl_map_cow(base
);
3673 base
->dim
= isl_dim_extend(base
->dim
, nparam
, n_in
, n_out
);
3676 for (i
= 0; i
< base
->n
; ++i
) {
3677 base
->p
[i
] = isl_basic_map_extend_dim(base
->p
[i
],
3678 isl_dim_copy(base
->dim
), 0, 0, 0);
3688 struct isl_set
*isl_set_extend(struct isl_set
*base
,
3689 unsigned nparam
, unsigned dim
)
3691 return (struct isl_set
*)isl_map_extend((struct isl_map
*)base
,
3695 static struct isl_basic_map
*isl_basic_map_fix_pos_si(
3696 struct isl_basic_map
*bmap
, unsigned pos
, int value
)
3700 bmap
= isl_basic_map_cow(bmap
);
3701 bmap
= isl_basic_map_extend_constraints(bmap
, 1, 0);
3702 j
= isl_basic_map_alloc_equality(bmap
);
3705 isl_seq_clr(bmap
->eq
[j
] + 1, isl_basic_map_total_dim(bmap
));
3706 isl_int_set_si(bmap
->eq
[j
][pos
], -1);
3707 isl_int_set_si(bmap
->eq
[j
][0], value
);
3708 bmap
= isl_basic_map_simplify(bmap
);
3709 return isl_basic_map_finalize(bmap
);
3711 isl_basic_map_free(bmap
);
3715 static __isl_give isl_basic_map
*isl_basic_map_fix_pos(
3716 __isl_take isl_basic_map
*bmap
, unsigned pos
, isl_int value
)
3720 bmap
= isl_basic_map_cow(bmap
);
3721 bmap
= isl_basic_map_extend_constraints(bmap
, 1, 0);
3722 j
= isl_basic_map_alloc_equality(bmap
);
3725 isl_seq_clr(bmap
->eq
[j
] + 1, isl_basic_map_total_dim(bmap
));
3726 isl_int_set_si(bmap
->eq
[j
][pos
], -1);
3727 isl_int_set(bmap
->eq
[j
][0], value
);
3728 bmap
= isl_basic_map_simplify(bmap
);
3729 return isl_basic_map_finalize(bmap
);
3731 isl_basic_map_free(bmap
);
3735 struct isl_basic_map
*isl_basic_map_fix_si(struct isl_basic_map
*bmap
,
3736 enum isl_dim_type type
, unsigned pos
, int value
)
3740 isl_assert(bmap
->ctx
, pos
< isl_basic_map_dim(bmap
, type
), goto error
);
3741 return isl_basic_map_fix_pos_si(bmap
,
3742 isl_basic_map_offset(bmap
, type
) + pos
, value
);
3744 isl_basic_map_free(bmap
);
3748 __isl_give isl_basic_map
*isl_basic_map_fix(__isl_take isl_basic_map
*bmap
,
3749 enum isl_dim_type type
, unsigned pos
, isl_int value
)
3753 isl_assert(bmap
->ctx
, pos
< isl_basic_map_dim(bmap
, type
), goto error
);
3754 return isl_basic_map_fix_pos(bmap
,
3755 isl_basic_map_offset(bmap
, type
) + pos
, value
);
3757 isl_basic_map_free(bmap
);
3761 struct isl_basic_set
*isl_basic_set_fix_si(struct isl_basic_set
*bset
,
3762 enum isl_dim_type type
, unsigned pos
, int value
)
3764 return (struct isl_basic_set
*)
3765 isl_basic_map_fix_si((struct isl_basic_map
*)bset
,
3769 __isl_give isl_basic_set
*isl_basic_set_fix(__isl_take isl_basic_set
*bset
,
3770 enum isl_dim_type type
, unsigned pos
, isl_int value
)
3772 return (struct isl_basic_set
*)
3773 isl_basic_map_fix((struct isl_basic_map
*)bset
,
3777 struct isl_basic_map
*isl_basic_map_fix_input_si(struct isl_basic_map
*bmap
,
3778 unsigned input
, int value
)
3780 return isl_basic_map_fix_si(bmap
, isl_dim_in
, input
, value
);
3783 struct isl_basic_set
*isl_basic_set_fix_dim_si(struct isl_basic_set
*bset
,
3784 unsigned dim
, int value
)
3786 return (struct isl_basic_set
*)
3787 isl_basic_map_fix_si((struct isl_basic_map
*)bset
,
3788 isl_dim_set
, dim
, value
);
3791 struct isl_map
*isl_map_fix_si(struct isl_map
*map
,
3792 enum isl_dim_type type
, unsigned pos
, int value
)
3796 map
= isl_map_cow(map
);
3800 isl_assert(map
->ctx
, pos
< isl_map_dim(map
, type
), goto error
);
3801 for (i
= 0; i
< map
->n
; ++i
) {
3802 map
->p
[i
] = isl_basic_map_fix_si(map
->p
[i
], type
, pos
, value
);
3806 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
3813 __isl_give isl_set
*isl_set_fix_si(__isl_take isl_set
*set
,
3814 enum isl_dim_type type
, unsigned pos
, int value
)
3816 return (struct isl_set
*)
3817 isl_map_fix_si((struct isl_map
*)set
, type
, pos
, value
);
3820 __isl_give isl_map
*isl_map_fix(__isl_take isl_map
*map
,
3821 enum isl_dim_type type
, unsigned pos
, isl_int value
)
3825 map
= isl_map_cow(map
);
3829 isl_assert(map
->ctx
, pos
< isl_map_dim(map
, type
), goto error
);
3830 for (i
= 0; i
< map
->n
; ++i
) {
3831 map
->p
[i
] = isl_basic_map_fix(map
->p
[i
], type
, pos
, value
);
3835 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
3842 __isl_give isl_set
*isl_set_fix(__isl_take isl_set
*set
,
3843 enum isl_dim_type type
, unsigned pos
, isl_int value
)
3845 return (struct isl_set
*)isl_map_fix((isl_map
*)set
, type
, pos
, value
);
3848 struct isl_map
*isl_map_fix_input_si(struct isl_map
*map
,
3849 unsigned input
, int value
)
3851 return isl_map_fix_si(map
, isl_dim_in
, input
, value
);
3854 struct isl_set
*isl_set_fix_dim_si(struct isl_set
*set
, unsigned dim
, int value
)
3856 return (struct isl_set
*)
3857 isl_map_fix_si((struct isl_map
*)set
, isl_dim_set
, dim
, value
);
3860 __isl_give isl_basic_map
*isl_basic_map_lower_bound_si(
3861 __isl_take isl_basic_map
*bmap
,
3862 enum isl_dim_type type
, unsigned pos
, int value
)
3868 isl_assert(bmap
->ctx
, pos
< isl_basic_map_dim(bmap
, type
), goto error
);
3869 pos
+= isl_basic_map_offset(bmap
, type
);
3870 bmap
= isl_basic_map_cow(bmap
);
3871 bmap
= isl_basic_map_extend_constraints(bmap
, 0, 1);
3872 j
= isl_basic_map_alloc_inequality(bmap
);
3875 isl_seq_clr(bmap
->ineq
[j
], 1 + isl_basic_map_total_dim(bmap
));
3876 isl_int_set_si(bmap
->ineq
[j
][pos
], 1);
3877 isl_int_set_si(bmap
->ineq
[j
][0], -value
);
3878 bmap
= isl_basic_map_simplify(bmap
);
3879 return isl_basic_map_finalize(bmap
);
3881 isl_basic_map_free(bmap
);
3885 struct isl_basic_set
*isl_basic_set_lower_bound_dim(struct isl_basic_set
*bset
,
3886 unsigned dim
, isl_int value
)
3890 bset
= isl_basic_set_cow(bset
);
3891 bset
= isl_basic_set_extend_constraints(bset
, 0, 1);
3892 j
= isl_basic_set_alloc_inequality(bset
);
3895 isl_seq_clr(bset
->ineq
[j
], 1 + isl_basic_set_total_dim(bset
));
3896 isl_int_set_si(bset
->ineq
[j
][1 + isl_basic_set_n_param(bset
) + dim
], 1);
3897 isl_int_neg(bset
->ineq
[j
][0], value
);
3898 bset
= isl_basic_set_simplify(bset
);
3899 return isl_basic_set_finalize(bset
);
3901 isl_basic_set_free(bset
);
3905 __isl_give isl_map
*isl_map_lower_bound_si(__isl_take isl_map
*map
,
3906 enum isl_dim_type type
, unsigned pos
, int value
)
3910 map
= isl_map_cow(map
);
3914 isl_assert(map
->ctx
, pos
< isl_map_dim(map
, type
), goto error
);
3915 for (i
= 0; i
< map
->n
; ++i
) {
3916 map
->p
[i
] = isl_basic_map_lower_bound_si(map
->p
[i
],
3921 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
3928 __isl_give isl_set
*isl_set_lower_bound_si(__isl_take isl_set
*set
,
3929 enum isl_dim_type type
, unsigned pos
, int value
)
3931 return (struct isl_set
*)
3932 isl_map_lower_bound_si((struct isl_map
*)set
, type
, pos
, value
);
3935 struct isl_set
*isl_set_lower_bound_dim(struct isl_set
*set
, unsigned dim
,
3940 set
= isl_set_cow(set
);
3944 isl_assert(set
->ctx
, dim
< isl_set_n_dim(set
), goto error
);
3945 for (i
= 0; i
< set
->n
; ++i
) {
3946 set
->p
[i
] = isl_basic_set_lower_bound_dim(set
->p
[i
], dim
, value
);
3956 struct isl_map
*isl_map_reverse(struct isl_map
*map
)
3960 map
= isl_map_cow(map
);
3964 map
->dim
= isl_dim_reverse(map
->dim
);
3967 for (i
= 0; i
< map
->n
; ++i
) {
3968 map
->p
[i
] = isl_basic_map_reverse(map
->p
[i
]);
3972 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
3979 static struct isl_map
*isl_basic_map_partial_lexopt(
3980 struct isl_basic_map
*bmap
, struct isl_basic_set
*dom
,
3981 struct isl_set
**empty
, int max
)
3985 if (bmap
->ctx
->opt
->pip
== ISL_PIP_PIP
)
3986 return isl_pip_basic_map_lexopt(bmap
, dom
, empty
, max
);
3988 return isl_tab_basic_map_partial_lexopt(bmap
, dom
, empty
, max
);
3990 isl_basic_map_free(bmap
);
3991 isl_basic_set_free(dom
);
3997 struct isl_map
*isl_basic_map_partial_lexmax(
3998 struct isl_basic_map
*bmap
, struct isl_basic_set
*dom
,
3999 struct isl_set
**empty
)
4001 return isl_basic_map_partial_lexopt(bmap
, dom
, empty
, 1);
4004 struct isl_map
*isl_basic_map_partial_lexmin(
4005 struct isl_basic_map
*bmap
, struct isl_basic_set
*dom
,
4006 struct isl_set
**empty
)
4008 return isl_basic_map_partial_lexopt(bmap
, dom
, empty
, 0);
4011 struct isl_set
*isl_basic_set_partial_lexmin(
4012 struct isl_basic_set
*bset
, struct isl_basic_set
*dom
,
4013 struct isl_set
**empty
)
4015 return (struct isl_set
*)
4016 isl_basic_map_partial_lexmin((struct isl_basic_map
*)bset
,
4020 struct isl_set
*isl_basic_set_partial_lexmax(
4021 struct isl_basic_set
*bset
, struct isl_basic_set
*dom
,
4022 struct isl_set
**empty
)
4024 return (struct isl_set
*)
4025 isl_basic_map_partial_lexmax((struct isl_basic_map
*)bset
,
4029 /* Given a basic map "bmap", compute the lexicograhically minimal
4030 * (or maximal) image element for each domain element in dom.
4031 * Set *empty to those elements in dom that do not have an image element.
4033 * We first make sure the basic sets in dom are disjoint and then
4034 * simply collect the results over each of the basic sets separately.
4035 * We could probably improve the efficiency a bit by moving the union
4036 * domain down into the parametric integer programming.
4038 static __isl_give isl_map
*basic_map_partial_lexopt(
4039 __isl_take isl_basic_map
*bmap
, __isl_take isl_set
*dom
,
4040 __isl_give isl_set
**empty
, int max
)
4043 struct isl_map
*res
;
4045 dom
= isl_set_make_disjoint(dom
);
4049 if (isl_set_fast_is_empty(dom
)) {
4050 res
= isl_map_empty_like_basic_map(bmap
);
4051 *empty
= isl_set_empty_like(dom
);
4053 isl_basic_map_free(bmap
);
4057 res
= isl_basic_map_partial_lexopt(isl_basic_map_copy(bmap
),
4058 isl_basic_set_copy(dom
->p
[0]), empty
, max
);
4060 for (i
= 1; i
< dom
->n
; ++i
) {
4061 struct isl_map
*res_i
;
4062 struct isl_set
*empty_i
;
4064 res_i
= isl_basic_map_partial_lexopt(isl_basic_map_copy(bmap
),
4065 isl_basic_set_copy(dom
->p
[i
]), &empty_i
, max
);
4067 res
= isl_map_union_disjoint(res
, res_i
);
4068 *empty
= isl_set_union_disjoint(*empty
, empty_i
);
4072 isl_basic_map_free(bmap
);
4077 isl_basic_map_free(bmap
);
4081 /* Given a map "map", compute the lexicograhically minimal
4082 * (or maximal) image element for each domain element in dom.
4083 * Set *empty to those elements in dom that do not have an image element.
4085 * We first compute the lexicographically minimal or maximal element
4086 * in the first basic map. This results in a partial solution "res"
4087 * and a subset "todo" of dom that still need to be handled.
4088 * We then consider each of the remaining maps in "map" and successively
4089 * improve both "res" and "todo".
4091 * Let res^k and todo^k be the results after k steps and let i = k + 1.
4092 * Assume we are computing the lexicographical maximum.
4093 * We first intersect basic map i with a relation that maps elements
4094 * to elements that are lexicographically larger than the image elements
4095 * in res^k and the compute the maximum image element of this intersection.
4096 * The result ("better") corresponds to those image elements in basic map i
4097 * that are better than what we had before. The remainder ("keep") are the
4098 * domain elements for which the image element in res_k was better.
4099 * We also compute the lexicographical maximum of basic map i in todo^k.
4100 * res^i is the result of the operation + better + those elements in
4101 * res^k that we should keep
4102 * todo^i is the remainder of the maximum operation on todo^k.
4104 static __isl_give isl_map
*isl_map_partial_lexopt(
4105 __isl_take isl_map
*map
, __isl_take isl_set
*dom
,
4106 __isl_give isl_set
**empty
, int max
)
4109 struct isl_map
*res
;
4110 struct isl_set
*todo
;
4115 if (isl_map_fast_is_empty(map
)) {
4123 res
= basic_map_partial_lexopt(isl_basic_map_copy(map
->p
[0]),
4124 isl_set_copy(dom
), &todo
, max
);
4126 for (i
= 1; i
< map
->n
; ++i
) {
4128 struct isl_map
*better
;
4129 struct isl_set
*keep
;
4130 struct isl_map
*res_i
;
4131 struct isl_set
*todo_i
;
4132 struct isl_dim
*dim
= isl_map_get_dim(res
);
4134 dim
= isl_dim_range(dim
);
4136 lt
= isl_map_lex_lt(dim
);
4138 lt
= isl_map_lex_gt(dim
);
4139 lt
= isl_map_apply_range(isl_map_copy(res
), lt
);
4140 lt
= isl_map_intersect(lt
,
4141 isl_map_from_basic_map(isl_basic_map_copy(map
->p
[i
])));
4142 better
= isl_map_partial_lexopt(lt
,
4143 isl_map_domain(isl_map_copy(res
)),
4146 res_i
= basic_map_partial_lexopt(isl_basic_map_copy(map
->p
[i
]),
4147 todo
, &todo_i
, max
);
4149 res
= isl_map_intersect_domain(res
, keep
);
4150 res
= isl_map_union_disjoint(res
, res_i
);
4151 res
= isl_map_union_disjoint(res
, better
);
4172 __isl_give isl_map
*isl_map_partial_lexmax(
4173 __isl_take isl_map
*map
, __isl_take isl_set
*dom
,
4174 __isl_give isl_set
**empty
)
4176 return isl_map_partial_lexopt(map
, dom
, empty
, 1);
4179 __isl_give isl_map
*isl_map_partial_lexmin(
4180 __isl_take isl_map
*map
, __isl_take isl_set
*dom
,
4181 __isl_give isl_set
**empty
)
4183 return isl_map_partial_lexopt(map
, dom
, empty
, 0);
4186 __isl_give isl_set
*isl_set_partial_lexmin(
4187 __isl_take isl_set
*set
, __isl_take isl_set
*dom
,
4188 __isl_give isl_set
**empty
)
4190 return (struct isl_set
*)
4191 isl_map_partial_lexmin((struct isl_map
*)set
,
4195 __isl_give isl_set
*isl_set_partial_lexmax(
4196 __isl_take isl_set
*set
, __isl_take isl_set
*dom
,
4197 __isl_give isl_set
**empty
)
4199 return (struct isl_set
*)
4200 isl_map_partial_lexmax((struct isl_map
*)set
,
4204 __isl_give isl_map
*isl_basic_map_lexopt(__isl_take isl_basic_map
*bmap
, int max
)
4206 struct isl_basic_set
*dom
= NULL
;
4207 struct isl_dim
*dom_dim
;
4211 dom_dim
= isl_dim_domain(isl_dim_copy(bmap
->dim
));
4212 dom
= isl_basic_set_universe(dom_dim
);
4213 return isl_basic_map_partial_lexopt(bmap
, dom
, NULL
, max
);
4215 isl_basic_map_free(bmap
);
4219 __isl_give isl_map
*isl_basic_map_lexmin(__isl_take isl_basic_map
*bmap
)
4221 return isl_basic_map_lexopt(bmap
, 0);
4224 __isl_give isl_map
*isl_basic_map_lexmax(__isl_take isl_basic_map
*bmap
)
4226 return isl_basic_map_lexopt(bmap
, 1);
4229 __isl_give isl_set
*isl_basic_set_lexmin(__isl_take isl_basic_set
*bset
)
4231 return (isl_set
*)isl_basic_map_lexmin((isl_basic_map
*)bset
);
4234 __isl_give isl_set
*isl_basic_set_lexmax(__isl_take isl_basic_set
*bset
)
4236 return (isl_set
*)isl_basic_map_lexmax((isl_basic_map
*)bset
);
4239 __isl_give isl_map
*isl_map_lexopt(__isl_take isl_map
*map
, int max
)
4241 struct isl_set
*dom
= NULL
;
4242 struct isl_dim
*dom_dim
;
4246 dom_dim
= isl_dim_domain(isl_dim_copy(map
->dim
));
4247 dom
= isl_set_universe(dom_dim
);
4248 return isl_map_partial_lexopt(map
, dom
, NULL
, max
);
4254 __isl_give isl_map
*isl_map_lexmin(__isl_take isl_map
*map
)
4256 return isl_map_lexopt(map
, 0);
4259 __isl_give isl_map
*isl_map_lexmax(__isl_take isl_map
*map
)
4261 return isl_map_lexopt(map
, 1);
4264 __isl_give isl_set
*isl_set_lexmin(__isl_take isl_set
*set
)
4266 return (isl_set
*)isl_map_lexmin((isl_map
*)set
);
4269 __isl_give isl_set
*isl_set_lexmax(__isl_take isl_set
*set
)
4271 return (isl_set
*)isl_map_lexmax((isl_map
*)set
);
4274 static struct isl_map
*isl_map_reset_dim(struct isl_map
*map
,
4275 struct isl_dim
*dim
)
4282 for (i
= 0; i
< map
->n
; ++i
) {
4283 isl_dim_free(map
->p
[i
]->dim
);
4284 map
->p
[i
]->dim
= isl_dim_copy(dim
);
4286 isl_dim_free(map
->dim
);
4296 static struct isl_set
*isl_set_reset_dim(struct isl_set
*set
,
4297 struct isl_dim
*dim
)
4299 return (struct isl_set
*) isl_map_reset_dim((struct isl_map
*)set
, dim
);
4302 /* Apply a preimage specified by "mat" on the parameters of "bset".
4303 * bset is assumed to have only parameters and divs.
4305 static struct isl_basic_set
*basic_set_parameter_preimage(
4306 struct isl_basic_set
*bset
, struct isl_mat
*mat
)
4313 bset
->dim
= isl_dim_cow(bset
->dim
);
4317 nparam
= isl_basic_set_dim(bset
, isl_dim_param
);
4319 isl_assert(bset
->ctx
, mat
->n_row
== 1 + nparam
, goto error
);
4321 bset
->dim
->nparam
= 0;
4322 bset
->dim
->n_out
= nparam
;
4323 bset
= isl_basic_set_preimage(bset
, mat
);
4325 bset
->dim
->nparam
= bset
->dim
->n_out
;
4326 bset
->dim
->n_out
= 0;
4331 isl_basic_set_free(bset
);
4335 /* Apply a preimage specified by "mat" on the parameters of "set".
4336 * set is assumed to have only parameters and divs.
4338 static struct isl_set
*set_parameter_preimage(
4339 struct isl_set
*set
, struct isl_mat
*mat
)
4341 struct isl_dim
*dim
= NULL
;
4347 dim
= isl_dim_copy(set
->dim
);
4348 dim
= isl_dim_cow(dim
);
4352 nparam
= isl_set_dim(set
, isl_dim_param
);
4354 isl_assert(set
->ctx
, mat
->n_row
== 1 + nparam
, goto error
);
4357 dim
->n_out
= nparam
;
4358 isl_set_reset_dim(set
, dim
);
4359 set
= isl_set_preimage(set
, mat
);
4362 dim
= isl_dim_copy(set
->dim
);
4363 dim
= isl_dim_cow(dim
);
4366 dim
->nparam
= dim
->n_out
;
4368 isl_set_reset_dim(set
, dim
);
4378 /* Intersect the basic set "bset" with the affine space specified by the
4379 * equalities in "eq".
4381 static struct isl_basic_set
*basic_set_append_equalities(
4382 struct isl_basic_set
*bset
, struct isl_mat
*eq
)
4390 bset
= isl_basic_set_extend_dim(bset
, isl_dim_copy(bset
->dim
), 0,
4395 len
= 1 + isl_dim_total(bset
->dim
) + bset
->extra
;
4396 for (i
= 0; i
< eq
->n_row
; ++i
) {
4397 k
= isl_basic_set_alloc_equality(bset
);
4400 isl_seq_cpy(bset
->eq
[k
], eq
->row
[i
], eq
->n_col
);
4401 isl_seq_clr(bset
->eq
[k
] + eq
->n_col
, len
- eq
->n_col
);
4405 bset
= isl_basic_set_gauss(bset
, NULL
);
4406 bset
= isl_basic_set_finalize(bset
);
4411 isl_basic_set_free(bset
);
4415 /* Intersect the set "set" with the affine space specified by the
4416 * equalities in "eq".
4418 static struct isl_set
*set_append_equalities(struct isl_set
*set
,
4426 for (i
= 0; i
< set
->n
; ++i
) {
4427 set
->p
[i
] = basic_set_append_equalities(set
->p
[i
],
4440 /* Project the given basic set onto its parameter domain, possibly introducing
4441 * new, explicit, existential variables in the constraints.
4442 * The input has parameters and (possibly implicit) existential variables.
4443 * The output has the same parameters, but only
4444 * explicit existentially quantified variables.
4446 * The actual projection is performed by pip, but pip doesn't seem
4447 * to like equalities very much, so we first remove the equalities
4448 * among the parameters by performing a variable compression on
4449 * the parameters. Afterward, an inverse transformation is performed
4450 * and the equalities among the parameters are inserted back in.
4452 static struct isl_set
*parameter_compute_divs(struct isl_basic_set
*bset
)
4456 struct isl_mat
*T
, *T2
;
4457 struct isl_set
*set
;
4458 unsigned nparam
, n_div
;
4460 bset
= isl_basic_set_cow(bset
);
4464 if (bset
->n_eq
== 0)
4465 return isl_basic_set_lexmin(bset
);
4467 isl_basic_set_gauss(bset
, NULL
);
4469 nparam
= isl_basic_set_dim(bset
, isl_dim_param
);
4470 n_div
= isl_basic_set_dim(bset
, isl_dim_div
);
4472 for (i
= 0, j
= n_div
- 1; i
< bset
->n_eq
&& j
>= 0; --j
) {
4473 if (!isl_int_is_zero(bset
->eq
[i
][1 + nparam
+ j
]))
4476 if (i
== bset
->n_eq
)
4477 return isl_basic_set_lexmin(bset
);
4479 eq
= isl_mat_sub_alloc(bset
->ctx
, bset
->eq
, i
, bset
->n_eq
- i
,
4481 eq
= isl_mat_cow(eq
);
4482 T
= isl_mat_variable_compression(isl_mat_copy(eq
), &T2
);
4483 if (T
&& T
->n_col
== 0) {
4487 bset
= isl_basic_set_set_to_empty(bset
);
4488 return isl_set_from_basic_set(bset
);
4490 bset
= basic_set_parameter_preimage(bset
, T
);
4492 set
= isl_basic_set_lexmin(bset
);
4493 set
= set_parameter_preimage(set
, T2
);
4494 set
= set_append_equalities(set
, eq
);
4498 /* Compute an explicit representation for all the existentially
4499 * quantified variables.
4500 * The input and output dimensions are first turned into parameters.
4501 * compute_divs then returns a map with the same parameters and
4502 * no input or output dimensions and the dimension specification
4503 * is reset to that of the input.
4505 static struct isl_map
*compute_divs(struct isl_basic_map
*bmap
)
4507 struct isl_basic_set
*bset
;
4508 struct isl_set
*set
;
4509 struct isl_map
*map
;
4510 struct isl_dim
*dim
, *orig_dim
= NULL
;
4515 bmap
= isl_basic_map_cow(bmap
);
4519 nparam
= isl_basic_map_dim(bmap
, isl_dim_param
);
4520 n_in
= isl_basic_map_dim(bmap
, isl_dim_in
);
4521 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
4522 dim
= isl_dim_set_alloc(bmap
->ctx
, nparam
+ n_in
+ n_out
, 0);
4526 orig_dim
= bmap
->dim
;
4528 bset
= (struct isl_basic_set
*)bmap
;
4530 set
= parameter_compute_divs(bset
);
4531 map
= (struct isl_map
*)set
;
4532 map
= isl_map_reset_dim(map
, orig_dim
);
4536 isl_basic_map_free(bmap
);
4540 static int basic_map_divs_known(__isl_keep isl_basic_map
*bmap
)
4548 off
= isl_dim_total(bmap
->dim
);
4549 for (i
= 0; i
< bmap
->n_div
; ++i
) {
4550 if (isl_int_is_zero(bmap
->div
[i
][0]))
4552 isl_assert(bmap
->ctx
, isl_int_is_zero(bmap
->div
[i
][1+1+off
+i
]),
4558 static int map_divs_known(__isl_keep isl_map
*map
)
4565 for (i
= 0; i
< map
->n
; ++i
) {
4566 int known
= basic_map_divs_known(map
->p
[i
]);
4574 /* If bmap contains any unknown divs, then compute explicit
4575 * expressions for them. However, this computation may be
4576 * quite expensive, so first try to remove divs that aren't
4579 struct isl_map
*isl_basic_map_compute_divs(struct isl_basic_map
*bmap
)
4583 struct isl_map
*map
;
4585 known
= basic_map_divs_known(bmap
);
4589 return isl_map_from_basic_map(bmap
);
4591 bmap
= isl_basic_map_drop_redundant_divs(bmap
);
4593 known
= basic_map_divs_known(bmap
);
4597 return isl_map_from_basic_map(bmap
);
4599 map
= compute_divs(bmap
);
4602 isl_basic_map_free(bmap
);
4606 struct isl_map
*isl_map_compute_divs(struct isl_map
*map
)
4610 struct isl_map
*res
;
4617 known
= map_divs_known(map
);
4625 res
= isl_basic_map_compute_divs(isl_basic_map_copy(map
->p
[0]));
4626 for (i
= 1 ; i
< map
->n
; ++i
) {
4628 r2
= isl_basic_map_compute_divs(isl_basic_map_copy(map
->p
[i
]));
4629 if (ISL_F_ISSET(map
, ISL_MAP_DISJOINT
))
4630 res
= isl_map_union_disjoint(res
, r2
);
4632 res
= isl_map_union(res
, r2
);
4639 struct isl_set
*isl_basic_set_compute_divs(struct isl_basic_set
*bset
)
4641 return (struct isl_set
*)
4642 isl_basic_map_compute_divs((struct isl_basic_map
*)bset
);
4645 struct isl_set
*isl_set_compute_divs(struct isl_set
*set
)
4647 return (struct isl_set
*)
4648 isl_map_compute_divs((struct isl_map
*)set
);
4651 struct isl_set
*isl_map_domain(struct isl_map
*map
)
4654 struct isl_set
*set
;
4659 map
= isl_map_cow(map
);
4663 set
= (struct isl_set
*)map
;
4664 set
->dim
= isl_dim_domain(set
->dim
);
4667 for (i
= 0; i
< map
->n
; ++i
) {
4668 set
->p
[i
] = isl_basic_map_domain(map
->p
[i
]);
4672 ISL_F_CLR(set
, ISL_MAP_DISJOINT
);
4673 ISL_F_CLR(set
, ISL_SET_NORMALIZED
);
4680 struct isl_map
*isl_map_union_disjoint(
4681 struct isl_map
*map1
, struct isl_map
*map2
)
4685 struct isl_map
*map
= NULL
;
4699 isl_assert(map1
->ctx
, isl_dim_equal(map1
->dim
, map2
->dim
), goto error
);
4701 if (ISL_F_ISSET(map1
, ISL_MAP_DISJOINT
) &&
4702 ISL_F_ISSET(map2
, ISL_MAP_DISJOINT
))
4703 ISL_FL_SET(flags
, ISL_MAP_DISJOINT
);
4705 map
= isl_map_alloc_dim(isl_dim_copy(map1
->dim
),
4706 map1
->n
+ map2
->n
, flags
);
4709 for (i
= 0; i
< map1
->n
; ++i
) {
4710 map
= isl_map_add_basic_map(map
,
4711 isl_basic_map_copy(map1
->p
[i
]));
4715 for (i
= 0; i
< map2
->n
; ++i
) {
4716 map
= isl_map_add_basic_map(map
,
4717 isl_basic_map_copy(map2
->p
[i
]));
4731 struct isl_map
*isl_map_union(struct isl_map
*map1
, struct isl_map
*map2
)
4733 map1
= isl_map_union_disjoint(map1
, map2
);
4737 ISL_F_CLR(map1
, ISL_MAP_DISJOINT
);
4741 struct isl_set
*isl_set_union_disjoint(
4742 struct isl_set
*set1
, struct isl_set
*set2
)
4744 return (struct isl_set
*)
4745 isl_map_union_disjoint(
4746 (struct isl_map
*)set1
, (struct isl_map
*)set2
);
4749 struct isl_set
*isl_set_union(struct isl_set
*set1
, struct isl_set
*set2
)
4751 return (struct isl_set
*)
4752 isl_map_union((struct isl_map
*)set1
, (struct isl_map
*)set2
);
4755 struct isl_map
*isl_map_intersect_range(
4756 struct isl_map
*map
, struct isl_set
*set
)
4759 struct isl_map
*result
;
4765 if (ISL_F_ISSET(map
, ISL_MAP_DISJOINT
) &&
4766 ISL_F_ISSET(set
, ISL_MAP_DISJOINT
))
4767 ISL_FL_SET(flags
, ISL_MAP_DISJOINT
);
4769 result
= isl_map_alloc_dim(isl_dim_copy(map
->dim
),
4770 map
->n
* set
->n
, flags
);
4773 for (i
= 0; i
< map
->n
; ++i
)
4774 for (j
= 0; j
< set
->n
; ++j
) {
4775 result
= isl_map_add_basic_map(result
,
4776 isl_basic_map_intersect_range(
4777 isl_basic_map_copy(map
->p
[i
]),
4778 isl_basic_set_copy(set
->p
[j
])));
4791 struct isl_map
*isl_map_intersect_domain(
4792 struct isl_map
*map
, struct isl_set
*set
)
4794 return isl_map_reverse(
4795 isl_map_intersect_range(isl_map_reverse(map
), set
));
4798 struct isl_map
*isl_map_apply_domain(
4799 struct isl_map
*map1
, struct isl_map
*map2
)
4803 map1
= isl_map_reverse(map1
);
4804 map1
= isl_map_apply_range(map1
, map2
);
4805 return isl_map_reverse(map1
);
4812 struct isl_map
*isl_map_apply_range(
4813 struct isl_map
*map1
, struct isl_map
*map2
)
4815 struct isl_dim
*dim_result
;
4816 struct isl_map
*result
;
4822 dim_result
= isl_dim_join(isl_dim_copy(map1
->dim
),
4823 isl_dim_copy(map2
->dim
));
4825 result
= isl_map_alloc_dim(dim_result
, map1
->n
* map2
->n
, 0);
4828 for (i
= 0; i
< map1
->n
; ++i
)
4829 for (j
= 0; j
< map2
->n
; ++j
) {
4830 result
= isl_map_add_basic_map(result
,
4831 isl_basic_map_apply_range(
4832 isl_basic_map_copy(map1
->p
[i
]),
4833 isl_basic_map_copy(map2
->p
[j
])));
4839 if (result
&& result
->n
<= 1)
4840 ISL_F_SET(result
, ISL_MAP_DISJOINT
);
4849 * returns range - domain
4851 struct isl_basic_set
*isl_basic_map_deltas(struct isl_basic_map
*bmap
)
4854 struct isl_basic_set
*bset
;
4861 dim
= isl_basic_map_n_in(bmap
);
4862 nparam
= isl_basic_map_n_param(bmap
);
4863 isl_assert(bmap
->ctx
, dim
== isl_basic_map_n_out(bmap
), goto error
);
4864 bset
= isl_basic_set_from_basic_map(bmap
);
4865 bset
= isl_basic_set_cow(bset
);
4866 dims
= isl_basic_set_get_dim(bset
);
4867 dims
= isl_dim_add(dims
, isl_dim_set
, dim
);
4868 bset
= isl_basic_set_extend_dim(bset
, dims
, 0, dim
, 0);
4869 bset
= isl_basic_set_swap_vars(bset
, 2*dim
);
4870 for (i
= 0; i
< dim
; ++i
) {
4871 int j
= isl_basic_map_alloc_equality(
4872 (struct isl_basic_map
*)bset
);
4875 isl_seq_clr(bset
->eq
[j
], 1 + isl_basic_set_total_dim(bset
));
4876 isl_int_set_si(bset
->eq
[j
][1+nparam
+i
], 1);
4877 isl_int_set_si(bset
->eq
[j
][1+nparam
+dim
+i
], 1);
4878 isl_int_set_si(bset
->eq
[j
][1+nparam
+2*dim
+i
], -1);
4880 return isl_basic_set_project_out(bset
, isl_dim_set
, dim
, 2*dim
);
4882 isl_basic_map_free(bmap
);
4887 * returns range - domain
4889 struct isl_set
*isl_map_deltas(struct isl_map
*map
)
4893 struct isl_set
*result
;
4898 isl_assert(map
->ctx
, isl_map_n_in(map
) == isl_map_n_out(map
), goto error
);
4899 dim
= isl_map_get_dim(map
);
4900 dim
= isl_dim_domain(dim
);
4901 result
= isl_set_alloc_dim(dim
, map
->n
, map
->flags
);
4904 for (i
= 0; i
< map
->n
; ++i
)
4905 result
= isl_set_add_basic_set(result
,
4906 isl_basic_map_deltas(isl_basic_map_copy(map
->p
[i
])));
4914 static struct isl_basic_map
*basic_map_identity(struct isl_dim
*dims
)
4916 struct isl_basic_map
*bmap
;
4924 nparam
= dims
->nparam
;
4926 bmap
= isl_basic_map_alloc_dim(dims
, 0, dim
, 0);
4930 for (i
= 0; i
< dim
; ++i
) {
4931 int j
= isl_basic_map_alloc_equality(bmap
);
4934 isl_seq_clr(bmap
->eq
[j
], 1 + isl_basic_map_total_dim(bmap
));
4935 isl_int_set_si(bmap
->eq
[j
][1+nparam
+i
], 1);
4936 isl_int_set_si(bmap
->eq
[j
][1+nparam
+dim
+i
], -1);
4938 return isl_basic_map_finalize(bmap
);
4940 isl_basic_map_free(bmap
);
4944 struct isl_basic_map
*isl_basic_map_identity(struct isl_dim
*set_dim
)
4946 struct isl_dim
*dim
= isl_dim_map(set_dim
);
4949 return basic_map_identity(dim
);
4952 struct isl_basic_map
*isl_basic_map_identity_like(struct isl_basic_map
*model
)
4954 if (!model
|| !model
->dim
)
4956 isl_assert(model
->ctx
,
4957 model
->dim
->n_in
== model
->dim
->n_out
, return NULL
);
4958 return basic_map_identity(isl_dim_copy(model
->dim
));
4961 static struct isl_map
*map_identity(struct isl_dim
*dim
)
4963 struct isl_map
*map
= isl_map_alloc_dim(dim
, 1, ISL_MAP_DISJOINT
);
4964 return isl_map_add_basic_map(map
, basic_map_identity(isl_dim_copy(dim
)));
4967 struct isl_map
*isl_map_identity(struct isl_dim
*set_dim
)
4969 struct isl_dim
*dim
= isl_dim_map(set_dim
);
4972 return map_identity(dim
);
4975 struct isl_map
*isl_map_identity_like(struct isl_map
*model
)
4977 if (!model
|| !model
->dim
)
4979 isl_assert(model
->ctx
,
4980 model
->dim
->n_in
== model
->dim
->n_out
, return NULL
);
4981 return map_identity(isl_dim_copy(model
->dim
));
4984 struct isl_map
*isl_map_identity_like_basic_map(struct isl_basic_map
*model
)
4986 if (!model
|| !model
->dim
)
4988 isl_assert(model
->ctx
,
4989 model
->dim
->n_in
== model
->dim
->n_out
, return NULL
);
4990 return map_identity(isl_dim_copy(model
->dim
));
4993 /* Construct a basic set with all set dimensions having only non-negative
4996 struct isl_basic_set
*isl_basic_set_positive_orthant(struct isl_dim
*dims
)
5001 struct isl_basic_set
*bset
;
5005 nparam
= dims
->nparam
;
5007 bset
= isl_basic_set_alloc_dim(dims
, 0, 0, dim
);
5010 for (i
= 0; i
< dim
; ++i
) {
5011 int k
= isl_basic_set_alloc_inequality(bset
);
5014 isl_seq_clr(bset
->ineq
[k
], 1 + isl_basic_set_total_dim(bset
));
5015 isl_int_set_si(bset
->ineq
[k
][1 + nparam
+ i
], 1);
5019 isl_basic_set_free(bset
);
5023 __isl_give isl_set
*isl_set_split_dims(__isl_take isl_set
*set
,
5024 enum isl_dim_type type
, unsigned first
, unsigned n
)
5027 isl_basic_set
*nonneg
= NULL
;
5028 isl_basic_set
*neg
= NULL
;
5035 isl_assert(set
->ctx
, first
+ n
<= isl_set_dim(set
, type
), goto error
);
5037 for (i
= 0; i
< n
; ++i
) {
5041 nonneg
= isl_basic_set_alloc_dim(isl_set_get_dim(set
), 0, 0, 1);
5042 k
= isl_basic_set_alloc_inequality(nonneg
);
5045 isl_seq_clr(nonneg
->ineq
[k
], 1 + isl_basic_set_total_dim(nonneg
));
5046 isl_int_set_si(nonneg
->ineq
[k
][pos(set
->dim
, type
) + first
+ i
], 1);
5048 neg
= isl_basic_set_alloc_dim(isl_set_get_dim(set
), 0, 0, 1);
5049 k
= isl_basic_set_alloc_inequality(neg
);
5052 isl_seq_clr(neg
->ineq
[k
], 1 + isl_basic_set_total_dim(neg
));
5053 isl_int_set_si(neg
->ineq
[k
][0], -1);
5054 isl_int_set_si(neg
->ineq
[k
][pos(set
->dim
, type
) + first
+ i
], -1);
5056 set
= isl_set_intersect(set
, isl_basic_set_union(nonneg
, neg
));
5061 isl_basic_set_free(nonneg
);
5062 isl_basic_set_free(neg
);
5067 int isl_set_is_equal(struct isl_set
*set1
, struct isl_set
*set2
)
5069 return isl_map_is_equal((struct isl_map
*)set1
, (struct isl_map
*)set2
);
5072 int isl_basic_map_is_subset(
5073 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
5076 struct isl_map
*map1
;
5077 struct isl_map
*map2
;
5079 if (!bmap1
|| !bmap2
)
5082 map1
= isl_map_from_basic_map(isl_basic_map_copy(bmap1
));
5083 map2
= isl_map_from_basic_map(isl_basic_map_copy(bmap2
));
5085 is_subset
= isl_map_is_subset(map1
, map2
);
5093 int isl_basic_map_is_equal(
5094 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
5098 if (!bmap1
|| !bmap2
)
5100 is_subset
= isl_basic_map_is_subset(bmap1
, bmap2
);
5103 is_subset
= isl_basic_map_is_subset(bmap2
, bmap1
);
5107 int isl_basic_set_is_equal(
5108 struct isl_basic_set
*bset1
, struct isl_basic_set
*bset2
)
5110 return isl_basic_map_is_equal(
5111 (struct isl_basic_map
*)bset1
, (struct isl_basic_map
*)bset2
);
5114 int isl_map_is_empty(struct isl_map
*map
)
5121 for (i
= 0; i
< map
->n
; ++i
) {
5122 is_empty
= isl_basic_map_is_empty(map
->p
[i
]);
5131 int isl_map_fast_is_empty(struct isl_map
*map
)
5136 int isl_set_fast_is_empty(struct isl_set
*set
)
5141 int isl_set_is_empty(struct isl_set
*set
)
5143 return isl_map_is_empty((struct isl_map
*)set
);
5146 int isl_map_is_equal(struct isl_map
*map1
, struct isl_map
*map2
)
5152 is_subset
= isl_map_is_subset(map1
, map2
);
5155 is_subset
= isl_map_is_subset(map2
, map1
);
5159 int isl_basic_map_is_strict_subset(
5160 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
5164 if (!bmap1
|| !bmap2
)
5166 is_subset
= isl_basic_map_is_subset(bmap1
, bmap2
);
5169 is_subset
= isl_basic_map_is_subset(bmap2
, bmap1
);
5170 if (is_subset
== -1)
5175 int isl_map_is_strict_subset(struct isl_map
*map1
, struct isl_map
*map2
)
5181 is_subset
= isl_map_is_subset(map1
, map2
);
5184 is_subset
= isl_map_is_subset(map2
, map1
);
5185 if (is_subset
== -1)
5190 int isl_set_is_strict_subset(__isl_keep isl_set
*set1
, __isl_keep isl_set
*set2
)
5192 return isl_map_is_strict_subset((isl_map
*)set1
, (isl_map
*)set2
);
5195 int isl_basic_map_is_universe(struct isl_basic_map
*bmap
)
5199 return bmap
->n_eq
== 0 && bmap
->n_ineq
== 0;
5202 int isl_basic_set_is_universe(struct isl_basic_set
*bset
)
5206 return bset
->n_eq
== 0 && bset
->n_ineq
== 0;
5209 int isl_map_fast_is_universe(__isl_keep isl_map
*map
)
5214 return map
->n
== 1 && isl_basic_map_is_universe(map
->p
[0]);
5217 int isl_set_fast_is_universe(__isl_keep isl_set
*set
)
5219 return isl_map_fast_is_universe((isl_map
*) set
);
5222 int isl_basic_map_is_empty(struct isl_basic_map
*bmap
)
5224 struct isl_basic_set
*bset
= NULL
;
5225 struct isl_vec
*sample
= NULL
;
5232 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_EMPTY
))
5235 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_RATIONAL
)) {
5236 struct isl_basic_map
*copy
= isl_basic_map_copy(bmap
);
5237 copy
= isl_basic_map_convex_hull(copy
);
5238 empty
= ISL_F_ISSET(copy
, ISL_BASIC_MAP_EMPTY
);
5239 isl_basic_map_free(copy
);
5243 total
= 1 + isl_basic_map_total_dim(bmap
);
5244 if (bmap
->sample
&& bmap
->sample
->size
== total
) {
5245 int contains
= isl_basic_map_contains(bmap
, bmap
->sample
);
5251 isl_vec_free(bmap
->sample
);
5252 bmap
->sample
= NULL
;
5253 bset
= isl_basic_map_underlying_set(isl_basic_map_copy(bmap
));
5256 sample
= isl_basic_set_sample_vec(bset
);
5259 empty
= sample
->size
== 0;
5260 isl_vec_free(bmap
->sample
);
5261 bmap
->sample
= sample
;
5263 ISL_F_SET(bmap
, ISL_BASIC_MAP_EMPTY
);
5268 int isl_basic_map_fast_is_empty(struct isl_basic_map
*bmap
)
5272 return ISL_F_ISSET(bmap
, ISL_BASIC_MAP_EMPTY
);
5275 int isl_basic_set_fast_is_empty(struct isl_basic_set
*bset
)
5279 return ISL_F_ISSET(bset
, ISL_BASIC_SET_EMPTY
);
5282 int isl_basic_set_is_empty(struct isl_basic_set
*bset
)
5284 return isl_basic_map_is_empty((struct isl_basic_map
*)bset
);
5287 struct isl_map
*isl_basic_map_union(
5288 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
5290 struct isl_map
*map
;
5291 if (!bmap1
|| !bmap2
)
5294 isl_assert(bmap1
->ctx
, isl_dim_equal(bmap1
->dim
, bmap2
->dim
), goto error
);
5296 map
= isl_map_alloc_dim(isl_dim_copy(bmap1
->dim
), 2, 0);
5299 map
= isl_map_add_basic_map(map
, bmap1
);
5300 map
= isl_map_add_basic_map(map
, bmap2
);
5303 isl_basic_map_free(bmap1
);
5304 isl_basic_map_free(bmap2
);
5308 struct isl_set
*isl_basic_set_union(
5309 struct isl_basic_set
*bset1
, struct isl_basic_set
*bset2
)
5311 return (struct isl_set
*)isl_basic_map_union(
5312 (struct isl_basic_map
*)bset1
,
5313 (struct isl_basic_map
*)bset2
);
5316 /* Order divs such that any div only depends on previous divs */
5317 struct isl_basic_map
*isl_basic_map_order_divs(struct isl_basic_map
*bmap
)
5320 unsigned off
= isl_dim_total(bmap
->dim
);
5322 for (i
= 0; i
< bmap
->n_div
; ++i
) {
5324 if (isl_int_is_zero(bmap
->div
[i
][0]))
5326 pos
= isl_seq_first_non_zero(bmap
->div
[i
]+1+1+off
+i
,
5330 isl_basic_map_swap_div(bmap
, i
, i
+ pos
);
5336 struct isl_basic_set
*isl_basic_set_order_divs(struct isl_basic_set
*bset
)
5338 return (struct isl_basic_set
*)
5339 isl_basic_map_order_divs((struct isl_basic_map
*)bset
);
5342 __isl_give isl_map
*isl_map_order_divs(__isl_take isl_map
*map
)
5349 for (i
= 0; i
< map
->n
; ++i
) {
5350 map
->p
[i
] = isl_basic_map_order_divs(map
->p
[i
]);
5361 /* Look for a div in dst that corresponds to the div "div" in src.
5362 * The divs before "div" in src and dst are assumed to be the same.
5364 * Returns -1 if no corresponding div was found and the position
5365 * of the corresponding div in dst otherwise.
5367 static int find_div(struct isl_basic_map
*dst
,
5368 struct isl_basic_map
*src
, unsigned div
)
5372 unsigned total
= isl_dim_total(src
->dim
);
5374 isl_assert(dst
->ctx
, div
<= dst
->n_div
, return -1);
5375 for (i
= div
; i
< dst
->n_div
; ++i
)
5376 if (isl_seq_eq(dst
->div
[i
], src
->div
[div
], 1+1+total
+div
) &&
5377 isl_seq_first_non_zero(dst
->div
[i
]+1+1+total
+div
,
5378 dst
->n_div
- div
) == -1)
5383 struct isl_basic_map
*isl_basic_map_align_divs(
5384 struct isl_basic_map
*dst
, struct isl_basic_map
*src
)
5387 unsigned total
= isl_dim_total(src
->dim
);
5392 if (src
->n_div
== 0)
5395 for (i
= 0; i
< src
->n_div
; ++i
)
5396 isl_assert(src
->ctx
, !isl_int_is_zero(src
->div
[i
][0]), goto error
);
5398 src
= isl_basic_map_order_divs(src
);
5399 dst
= isl_basic_map_cow(dst
);
5400 dst
= isl_basic_map_extend_dim(dst
, isl_dim_copy(dst
->dim
),
5401 src
->n_div
, 0, 2 * src
->n_div
);
5404 for (i
= 0; i
< src
->n_div
; ++i
) {
5405 int j
= find_div(dst
, src
, i
);
5407 j
= isl_basic_map_alloc_div(dst
);
5410 isl_seq_cpy(dst
->div
[j
], src
->div
[i
], 1+1+total
+i
);
5411 isl_seq_clr(dst
->div
[j
]+1+1+total
+i
, dst
->n_div
- i
);
5412 if (isl_basic_map_add_div_constraints(dst
, j
) < 0)
5416 isl_basic_map_swap_div(dst
, i
, j
);
5420 isl_basic_map_free(dst
);
5424 struct isl_basic_set
*isl_basic_set_align_divs(
5425 struct isl_basic_set
*dst
, struct isl_basic_set
*src
)
5427 return (struct isl_basic_set
*)isl_basic_map_align_divs(
5428 (struct isl_basic_map
*)dst
, (struct isl_basic_map
*)src
);
5431 struct isl_map
*isl_map_align_divs(struct isl_map
*map
)
5439 map
= isl_map_compute_divs(map
);
5440 map
= isl_map_cow(map
);
5444 for (i
= 1; i
< map
->n
; ++i
)
5445 map
->p
[0] = isl_basic_map_align_divs(map
->p
[0], map
->p
[i
]);
5446 for (i
= 1; i
< map
->n
; ++i
)
5447 map
->p
[i
] = isl_basic_map_align_divs(map
->p
[i
], map
->p
[0]);
5449 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5453 struct isl_set
*isl_set_align_divs(struct isl_set
*set
)
5455 return (struct isl_set
*)isl_map_align_divs((struct isl_map
*)set
);
5458 struct isl_set
*isl_set_apply(struct isl_set
*set
, struct isl_map
*map
)
5462 isl_assert(set
->ctx
, isl_map_compatible_domain(map
, set
), goto error
);
5463 map
= isl_map_intersect_domain(map
, set
);
5464 set
= isl_map_range(map
);
5472 /* There is no need to cow as removing empty parts doesn't change
5473 * the meaning of the set.
5475 struct isl_map
*isl_map_remove_empty_parts(struct isl_map
*map
)
5482 for (i
= map
->n
-1; i
>= 0; --i
) {
5483 if (!ISL_F_ISSET(map
->p
[i
], ISL_BASIC_MAP_EMPTY
))
5485 isl_basic_map_free(map
->p
[i
]);
5486 if (i
!= map
->n
-1) {
5487 ISL_F_CLR(map
, ISL_MAP_NORMALIZED
);
5488 map
->p
[i
] = map
->p
[map
->n
-1];
5496 struct isl_set
*isl_set_remove_empty_parts(struct isl_set
*set
)
5498 return (struct isl_set
*)
5499 isl_map_remove_empty_parts((struct isl_map
*)set
);
5502 struct isl_basic_map
*isl_map_copy_basic_map(struct isl_map
*map
)
5504 struct isl_basic_map
*bmap
;
5505 if (!map
|| map
->n
== 0)
5507 bmap
= map
->p
[map
->n
-1];
5508 isl_assert(map
->ctx
, ISL_F_ISSET(bmap
, ISL_BASIC_SET_FINAL
), return NULL
);
5509 return isl_basic_map_copy(bmap
);
5512 struct isl_basic_set
*isl_set_copy_basic_set(struct isl_set
*set
)
5514 return (struct isl_basic_set
*)
5515 isl_map_copy_basic_map((struct isl_map
*)set
);
5518 __isl_give isl_map
*isl_map_drop_basic_map(__isl_take isl_map
*map
,
5519 __isl_keep isl_basic_map
*bmap
)
5525 for (i
= map
->n
-1; i
>= 0; --i
) {
5526 if (map
->p
[i
] != bmap
)
5528 map
= isl_map_cow(map
);
5531 isl_basic_map_free(map
->p
[i
]);
5532 if (i
!= map
->n
-1) {
5533 ISL_F_CLR(map
, ISL_SET_NORMALIZED
);
5534 map
->p
[i
] = map
->p
[map
->n
-1];
5545 struct isl_set
*isl_set_drop_basic_set(struct isl_set
*set
,
5546 struct isl_basic_set
*bset
)
5548 return (struct isl_set
*)isl_map_drop_basic_map((struct isl_map
*)set
,
5549 (struct isl_basic_map
*)bset
);
5552 /* Given two basic sets bset1 and bset2, compute the maximal difference
5553 * between the values of dimension pos in bset1 and those in bset2
5554 * for any common value of the parameters and dimensions preceding pos.
5556 static enum isl_lp_result
basic_set_maximal_difference_at(
5557 __isl_keep isl_basic_set
*bset1
, __isl_keep isl_basic_set
*bset2
,
5558 int pos
, isl_int
*opt
)
5560 struct isl_dim
*dims
;
5561 struct isl_basic_map
*bmap1
= NULL
;
5562 struct isl_basic_map
*bmap2
= NULL
;
5563 struct isl_ctx
*ctx
;
5564 struct isl_vec
*obj
;
5567 unsigned dim1
, dim2
;
5568 enum isl_lp_result res
;
5570 if (!bset1
|| !bset2
)
5571 return isl_lp_error
;
5573 nparam
= isl_basic_set_n_param(bset1
);
5574 dim1
= isl_basic_set_n_dim(bset1
);
5575 dim2
= isl_basic_set_n_dim(bset2
);
5576 dims
= isl_dim_alloc(bset1
->ctx
, nparam
, pos
, dim1
- pos
);
5577 bmap1
= isl_basic_map_from_basic_set(isl_basic_set_copy(bset1
), dims
);
5578 dims
= isl_dim_alloc(bset2
->ctx
, nparam
, pos
, dim2
- pos
);
5579 bmap2
= isl_basic_map_from_basic_set(isl_basic_set_copy(bset2
), dims
);
5580 if (!bmap1
|| !bmap2
)
5582 bmap1
= isl_basic_map_cow(bmap1
);
5583 bmap1
= isl_basic_map_extend(bmap1
, nparam
,
5584 pos
, (dim1
- pos
) + (dim2
- pos
),
5585 bmap2
->n_div
, bmap2
->n_eq
, bmap2
->n_ineq
);
5586 bmap1
= add_constraints(bmap1
, bmap2
, 0, dim1
- pos
);
5589 total
= isl_basic_map_total_dim(bmap1
);
5591 obj
= isl_vec_alloc(ctx
, 1 + total
);
5592 isl_seq_clr(obj
->block
.data
, 1 + total
);
5593 isl_int_set_si(obj
->block
.data
[1+nparam
+pos
], 1);
5594 isl_int_set_si(obj
->block
.data
[1+nparam
+pos
+(dim1
-pos
)], -1);
5597 res
= isl_basic_map_solve_lp(bmap1
, 1, obj
->block
.data
, ctx
->one
,
5599 isl_basic_map_free(bmap1
);
5603 isl_basic_map_free(bmap1
);
5604 isl_basic_map_free(bmap2
);
5605 return isl_lp_error
;
5608 /* Given two _disjoint_ basic sets bset1 and bset2, check whether
5609 * for any common value of the parameters and dimensions preceding pos
5610 * in both basic sets, the values of dimension pos in bset1 are
5611 * smaller or larger than those in bset2.
5614 * 1 if bset1 follows bset2
5615 * -1 if bset1 precedes bset2
5616 * 0 if bset1 and bset2 are incomparable
5617 * -2 if some error occurred.
5619 int isl_basic_set_compare_at(struct isl_basic_set
*bset1
,
5620 struct isl_basic_set
*bset2
, int pos
)
5623 enum isl_lp_result res
;
5628 res
= basic_set_maximal_difference_at(bset1
, bset2
, pos
, &opt
);
5630 if (res
== isl_lp_empty
)
5632 else if ((res
== isl_lp_ok
&& isl_int_is_pos(opt
)) ||
5633 res
== isl_lp_unbounded
)
5635 else if (res
== isl_lp_ok
&& isl_int_is_neg(opt
))
5644 /* Given two basic sets bset1 and bset2, check whether
5645 * for any common value of the parameters and dimensions preceding pos
5646 * there is a value of dimension pos in bset1 that is larger
5647 * than a value of the same dimension in bset2.
5650 * 1 if there exists such a pair
5651 * 0 if there is no such pair, but there is a pair of equal values
5653 * -2 if some error occurred.
5655 int isl_basic_set_follows_at(__isl_keep isl_basic_set
*bset1
,
5656 __isl_keep isl_basic_set
*bset2
, int pos
)
5659 enum isl_lp_result res
;
5664 res
= basic_set_maximal_difference_at(bset1
, bset2
, pos
, &opt
);
5666 if (res
== isl_lp_empty
)
5668 else if ((res
== isl_lp_ok
&& isl_int_is_pos(opt
)) ||
5669 res
== isl_lp_unbounded
)
5671 else if (res
== isl_lp_ok
&& isl_int_is_neg(opt
))
5673 else if (res
== isl_lp_ok
)
5682 /* Given two sets set1 and set2, check whether
5683 * for any common value of the parameters and dimensions preceding pos
5684 * there is a value of dimension pos in set1 that is larger
5685 * than a value of the same dimension in set2.
5688 * 1 if there exists such a pair
5689 * 0 if there is no such pair, but there is a pair of equal values
5691 * -2 if some error occurred.
5693 int isl_set_follows_at(__isl_keep isl_set
*set1
,
5694 __isl_keep isl_set
*set2
, int pos
)
5702 for (i
= 0; i
< set1
->n
; ++i
)
5703 for (j
= 0; j
< set2
->n
; ++j
) {
5705 f
= isl_basic_set_follows_at(set1
->p
[i
], set2
->p
[j
], pos
);
5706 if (f
== 1 || f
== -2)
5715 static int isl_basic_map_fast_has_fixed_var(struct isl_basic_map
*bmap
,
5716 unsigned pos
, isl_int
*val
)
5724 total
= isl_basic_map_total_dim(bmap
);
5725 for (i
= 0, d
= total
-1; i
< bmap
->n_eq
&& d
+1 > pos
; ++i
) {
5726 for (; d
+1 > pos
; --d
)
5727 if (!isl_int_is_zero(bmap
->eq
[i
][1+d
]))
5731 if (isl_seq_first_non_zero(bmap
->eq
[i
]+1, d
) != -1)
5733 if (isl_seq_first_non_zero(bmap
->eq
[i
]+1+d
+1, total
-d
-1) != -1)
5735 if (!isl_int_is_one(bmap
->eq
[i
][1+d
]))
5738 isl_int_neg(*val
, bmap
->eq
[i
][0]);
5744 static int isl_map_fast_has_fixed_var(struct isl_map
*map
,
5745 unsigned pos
, isl_int
*val
)
5757 return isl_basic_map_fast_has_fixed_var(map
->p
[0], pos
, val
);
5760 fixed
= isl_basic_map_fast_has_fixed_var(map
->p
[0], pos
, &v
);
5761 for (i
= 1; fixed
== 1 && i
< map
->n
; ++i
) {
5762 fixed
= isl_basic_map_fast_has_fixed_var(map
->p
[i
], pos
, &tmp
);
5763 if (fixed
== 1 && isl_int_ne(tmp
, v
))
5767 isl_int_set(*val
, v
);
5773 static int isl_basic_set_fast_has_fixed_var(struct isl_basic_set
*bset
,
5774 unsigned pos
, isl_int
*val
)
5776 return isl_basic_map_fast_has_fixed_var((struct isl_basic_map
*)bset
,
5780 static int isl_set_fast_has_fixed_var(struct isl_set
*set
, unsigned pos
,
5783 return isl_map_fast_has_fixed_var((struct isl_map
*)set
, pos
, val
);
5786 int isl_basic_map_fast_is_fixed(struct isl_basic_map
*bmap
,
5787 enum isl_dim_type type
, unsigned pos
, isl_int
*val
)
5789 if (pos
>= isl_basic_map_dim(bmap
, type
))
5791 return isl_basic_map_fast_has_fixed_var(bmap
,
5792 isl_basic_map_offset(bmap
, type
) - 1 + pos
, val
);
5795 int isl_map_fast_is_fixed(struct isl_map
*map
,
5796 enum isl_dim_type type
, unsigned pos
, isl_int
*val
)
5798 if (pos
>= isl_map_dim(map
, type
))
5800 return isl_map_fast_has_fixed_var(map
,
5801 map_offset(map
, type
) - 1 + pos
, val
);
5804 /* Check if dimension dim has fixed value and if so and if val is not NULL,
5805 * then return this fixed value in *val.
5807 int isl_basic_set_fast_dim_is_fixed(struct isl_basic_set
*bset
, unsigned dim
,
5810 return isl_basic_set_fast_has_fixed_var(bset
,
5811 isl_basic_set_n_param(bset
) + dim
, val
);
5814 /* Check if dimension dim has fixed value and if so and if val is not NULL,
5815 * then return this fixed value in *val.
5817 int isl_set_fast_dim_is_fixed(struct isl_set
*set
, unsigned dim
, isl_int
*val
)
5819 return isl_set_fast_has_fixed_var(set
, isl_set_n_param(set
) + dim
, val
);
5822 /* Check if input variable in has fixed value and if so and if val is not NULL,
5823 * then return this fixed value in *val.
5825 int isl_map_fast_input_is_fixed(struct isl_map
*map
, unsigned in
, isl_int
*val
)
5827 return isl_map_fast_has_fixed_var(map
, isl_map_n_param(map
) + in
, val
);
5830 /* Check if dimension dim has an (obvious) fixed lower bound and if so
5831 * and if val is not NULL, then return this lower bound in *val.
5833 int isl_basic_set_fast_dim_has_fixed_lower_bound(struct isl_basic_set
*bset
,
5834 unsigned dim
, isl_int
*val
)
5836 int i
, i_eq
= -1, i_ineq
= -1;
5843 total
= isl_basic_set_total_dim(bset
);
5844 nparam
= isl_basic_set_n_param(bset
);
5845 for (i
= 0; i
< bset
->n_eq
; ++i
) {
5846 if (isl_int_is_zero(bset
->eq
[i
][1+nparam
+dim
]))
5852 for (i
= 0; i
< bset
->n_ineq
; ++i
) {
5853 if (!isl_int_is_pos(bset
->ineq
[i
][1+nparam
+dim
]))
5855 if (i_eq
!= -1 || i_ineq
!= -1)
5859 if (i_eq
== -1 && i_ineq
== -1)
5861 c
= i_eq
!= -1 ? bset
->eq
[i_eq
] : bset
->ineq
[i_ineq
];
5862 /* The coefficient should always be one due to normalization. */
5863 if (!isl_int_is_one(c
[1+nparam
+dim
]))
5865 if (isl_seq_first_non_zero(c
+1, nparam
+dim
) != -1)
5867 if (isl_seq_first_non_zero(c
+1+nparam
+dim
+1,
5868 total
- nparam
- dim
- 1) != -1)
5871 isl_int_neg(*val
, c
[0]);
5875 int isl_set_fast_dim_has_fixed_lower_bound(struct isl_set
*set
,
5876 unsigned dim
, isl_int
*val
)
5888 return isl_basic_set_fast_dim_has_fixed_lower_bound(set
->p
[0],
5892 fixed
= isl_basic_set_fast_dim_has_fixed_lower_bound(set
->p
[0],
5894 for (i
= 1; fixed
== 1 && i
< set
->n
; ++i
) {
5895 fixed
= isl_basic_set_fast_dim_has_fixed_lower_bound(set
->p
[i
],
5897 if (fixed
== 1 && isl_int_ne(tmp
, v
))
5901 isl_int_set(*val
, v
);
5912 static int qsort_constraint_cmp(const void *p1
, const void *p2
)
5914 const struct constraint
*c1
= (const struct constraint
*)p1
;
5915 const struct constraint
*c2
= (const struct constraint
*)p2
;
5916 unsigned size
= isl_min(c1
->size
, c2
->size
);
5917 return isl_seq_cmp(c1
->c
, c2
->c
, size
);
5920 static struct isl_basic_map
*isl_basic_map_sort_constraints(
5921 struct isl_basic_map
*bmap
)
5924 struct constraint
*c
;
5929 total
= isl_basic_map_total_dim(bmap
);
5930 c
= isl_alloc_array(bmap
->ctx
, struct constraint
, bmap
->n_ineq
);
5933 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
5935 c
[i
].c
= bmap
->ineq
[i
];
5937 qsort(c
, bmap
->n_ineq
, sizeof(struct constraint
), qsort_constraint_cmp
);
5938 for (i
= 0; i
< bmap
->n_ineq
; ++i
)
5939 bmap
->ineq
[i
] = c
[i
].c
;
5943 isl_basic_map_free(bmap
);
5947 struct isl_basic_map
*isl_basic_map_normalize(struct isl_basic_map
*bmap
)
5951 if (ISL_F_ISSET(bmap
, ISL_BASIC_MAP_NORMALIZED
))
5953 bmap
= isl_basic_map_convex_hull(bmap
);
5954 bmap
= isl_basic_map_sort_constraints(bmap
);
5955 ISL_F_SET(bmap
, ISL_BASIC_MAP_NORMALIZED
);
5959 struct isl_basic_set
*isl_basic_set_normalize(struct isl_basic_set
*bset
)
5961 return (struct isl_basic_set
*)isl_basic_map_normalize(
5962 (struct isl_basic_map
*)bset
);
5965 static int isl_basic_map_fast_cmp(const struct isl_basic_map
*bmap1
,
5966 const struct isl_basic_map
*bmap2
)
5973 if (isl_basic_map_n_param(bmap1
) != isl_basic_map_n_param(bmap2
))
5974 return isl_basic_map_n_param(bmap1
) - isl_basic_map_n_param(bmap2
);
5975 if (isl_basic_map_n_in(bmap1
) != isl_basic_map_n_in(bmap2
))
5976 return isl_basic_map_n_out(bmap1
) - isl_basic_map_n_out(bmap2
);
5977 if (isl_basic_map_n_out(bmap1
) != isl_basic_map_n_out(bmap2
))
5978 return isl_basic_map_n_out(bmap1
) - isl_basic_map_n_out(bmap2
);
5979 if (ISL_F_ISSET(bmap1
, ISL_BASIC_MAP_EMPTY
) &&
5980 ISL_F_ISSET(bmap2
, ISL_BASIC_MAP_EMPTY
))
5982 if (ISL_F_ISSET(bmap1
, ISL_BASIC_MAP_EMPTY
))
5984 if (ISL_F_ISSET(bmap2
, ISL_BASIC_MAP_EMPTY
))
5986 if (bmap1
->n_eq
!= bmap2
->n_eq
)
5987 return bmap1
->n_eq
- bmap2
->n_eq
;
5988 if (bmap1
->n_ineq
!= bmap2
->n_ineq
)
5989 return bmap1
->n_ineq
- bmap2
->n_ineq
;
5990 if (bmap1
->n_div
!= bmap2
->n_div
)
5991 return bmap1
->n_div
- bmap2
->n_div
;
5992 total
= isl_basic_map_total_dim(bmap1
);
5993 for (i
= 0; i
< bmap1
->n_eq
; ++i
) {
5994 cmp
= isl_seq_cmp(bmap1
->eq
[i
], bmap2
->eq
[i
], 1+total
);
5998 for (i
= 0; i
< bmap1
->n_ineq
; ++i
) {
5999 cmp
= isl_seq_cmp(bmap1
->ineq
[i
], bmap2
->ineq
[i
], 1+total
);
6003 for (i
= 0; i
< bmap1
->n_div
; ++i
) {
6004 cmp
= isl_seq_cmp(bmap1
->div
[i
], bmap2
->div
[i
], 1+1+total
);
6011 static int isl_basic_map_fast_is_equal(struct isl_basic_map
*bmap1
,
6012 struct isl_basic_map
*bmap2
)
6014 return isl_basic_map_fast_cmp(bmap1
, bmap2
) == 0;
6017 static int qsort_bmap_cmp(const void *p1
, const void *p2
)
6019 const struct isl_basic_map
*bmap1
= *(const struct isl_basic_map
**)p1
;
6020 const struct isl_basic_map
*bmap2
= *(const struct isl_basic_map
**)p2
;
6022 return isl_basic_map_fast_cmp(bmap1
, bmap2
);
6025 /* We normalize in place, but if anything goes wrong we need
6026 * to return NULL, so we need to make sure we don't change the
6027 * meaning of any possible other copies of map.
6029 struct isl_map
*isl_map_normalize(struct isl_map
*map
)
6032 struct isl_basic_map
*bmap
;
6036 if (ISL_F_ISSET(map
, ISL_MAP_NORMALIZED
))
6038 for (i
= 0; i
< map
->n
; ++i
) {
6039 bmap
= isl_basic_map_normalize(isl_basic_map_copy(map
->p
[i
]));
6042 isl_basic_map_free(map
->p
[i
]);
6045 qsort(map
->p
, map
->n
, sizeof(struct isl_basic_map
*), qsort_bmap_cmp
);
6046 ISL_F_SET(map
, ISL_MAP_NORMALIZED
);
6047 map
= isl_map_remove_empty_parts(map
);
6050 for (i
= map
->n
- 1; i
>= 1; --i
) {
6051 if (!isl_basic_map_fast_is_equal(map
->p
[i
-1], map
->p
[i
]))
6053 isl_basic_map_free(map
->p
[i
-1]);
6054 for (j
= i
; j
< map
->n
; ++j
)
6055 map
->p
[j
-1] = map
->p
[j
];
6065 struct isl_set
*isl_set_normalize(struct isl_set
*set
)
6067 return (struct isl_set
*)isl_map_normalize((struct isl_map
*)set
);
6070 int isl_map_fast_is_equal(struct isl_map
*map1
, struct isl_map
*map2
)
6080 if (!isl_dim_equal(map1
->dim
, map2
->dim
))
6083 map1
= isl_map_copy(map1
);
6084 map2
= isl_map_copy(map2
);
6085 map1
= isl_map_normalize(map1
);
6086 map2
= isl_map_normalize(map2
);
6089 equal
= map1
->n
== map2
->n
;
6090 for (i
= 0; equal
&& i
< map1
->n
; ++i
) {
6091 equal
= isl_basic_map_fast_is_equal(map1
->p
[i
], map2
->p
[i
]);
6104 int isl_set_fast_is_equal(struct isl_set
*set1
, struct isl_set
*set2
)
6106 return isl_map_fast_is_equal((struct isl_map
*)set1
,
6107 (struct isl_map
*)set2
);
6110 /* Return an interval that ranges from min to max (inclusive)
6112 struct isl_basic_set
*isl_basic_set_interval(struct isl_ctx
*ctx
,
6113 isl_int min
, isl_int max
)
6116 struct isl_basic_set
*bset
= NULL
;
6118 bset
= isl_basic_set_alloc(ctx
, 0, 1, 0, 0, 2);
6122 k
= isl_basic_set_alloc_inequality(bset
);
6125 isl_int_set_si(bset
->ineq
[k
][1], 1);
6126 isl_int_neg(bset
->ineq
[k
][0], min
);
6128 k
= isl_basic_set_alloc_inequality(bset
);
6131 isl_int_set_si(bset
->ineq
[k
][1], -1);
6132 isl_int_set(bset
->ineq
[k
][0], max
);
6136 isl_basic_set_free(bset
);
6140 /* Return the Cartesian product of the basic sets in list (in the given order).
6142 struct isl_basic_set
*isl_basic_set_product(struct isl_basic_set_list
*list
)
6150 struct isl_basic_set
*product
= NULL
;
6154 isl_assert(list
->ctx
, list
->n
> 0, goto error
);
6155 isl_assert(list
->ctx
, list
->p
[0], goto error
);
6156 nparam
= isl_basic_set_n_param(list
->p
[0]);
6157 dim
= isl_basic_set_n_dim(list
->p
[0]);
6158 extra
= list
->p
[0]->n_div
;
6159 n_eq
= list
->p
[0]->n_eq
;
6160 n_ineq
= list
->p
[0]->n_ineq
;
6161 for (i
= 1; i
< list
->n
; ++i
) {
6162 isl_assert(list
->ctx
, list
->p
[i
], goto error
);
6163 isl_assert(list
->ctx
,
6164 nparam
== isl_basic_set_n_param(list
->p
[i
]), goto error
);
6165 dim
+= isl_basic_set_n_dim(list
->p
[i
]);
6166 extra
+= list
->p
[i
]->n_div
;
6167 n_eq
+= list
->p
[i
]->n_eq
;
6168 n_ineq
+= list
->p
[i
]->n_ineq
;
6170 product
= isl_basic_set_alloc(list
->ctx
, nparam
, dim
, extra
,
6175 for (i
= 0; i
< list
->n
; ++i
) {
6176 isl_basic_set_add_constraints(product
,
6177 isl_basic_set_copy(list
->p
[i
]), dim
);
6178 dim
+= isl_basic_set_n_dim(list
->p
[i
]);
6180 isl_basic_set_list_free(list
);
6183 isl_basic_set_free(product
);
6184 isl_basic_set_list_free(list
);
6188 struct isl_basic_map
*isl_basic_map_product(
6189 struct isl_basic_map
*bmap1
, struct isl_basic_map
*bmap2
)
6191 struct isl_dim
*dim_result
= NULL
;
6192 struct isl_basic_map
*bmap
;
6193 unsigned in1
, in2
, out1
, out2
, nparam
, total
, pos
;
6194 struct isl_dim_map
*dim_map1
, *dim_map2
;
6196 if (!bmap1
|| !bmap2
)
6199 isl_assert(bmap1
->ctx
, isl_dim_match(bmap1
->dim
, isl_dim_param
,
6200 bmap2
->dim
, isl_dim_param
), goto error
);
6201 dim_result
= isl_dim_product(isl_dim_copy(bmap1
->dim
),
6202 isl_dim_copy(bmap2
->dim
));
6204 in1
= isl_basic_map_n_in(bmap1
);
6205 in2
= isl_basic_map_n_in(bmap2
);
6206 out1
= isl_basic_map_n_out(bmap1
);
6207 out2
= isl_basic_map_n_out(bmap2
);
6208 nparam
= isl_basic_map_n_param(bmap1
);
6210 total
= nparam
+ in1
+ in2
+ out1
+ out2
+ bmap1
->n_div
+ bmap2
->n_div
;
6211 dim_map1
= isl_dim_map_alloc(bmap1
->ctx
, total
);
6212 dim_map2
= isl_dim_map_alloc(bmap1
->ctx
, total
);
6213 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_param
, pos
= 0);
6214 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_param
, pos
= 0);
6215 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_in
, pos
+= nparam
);
6216 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_in
, pos
+= in1
);
6217 isl_dim_map_dim(dim_map1
, bmap1
->dim
, isl_dim_out
, pos
+= in2
);
6218 isl_dim_map_dim(dim_map2
, bmap2
->dim
, isl_dim_out
, pos
+= out1
);
6219 isl_dim_map_div(dim_map1
, bmap1
, pos
+= out2
);
6220 isl_dim_map_div(dim_map2
, bmap2
, pos
+= bmap1
->n_div
);
6222 bmap
= isl_basic_map_alloc_dim(dim_result
,
6223 bmap1
->n_div
+ bmap2
->n_div
,
6224 bmap1
->n_eq
+ bmap2
->n_eq
,
6225 bmap1
->n_ineq
+ bmap2
->n_ineq
);
6226 bmap
= add_constraints_dim_map(bmap
, bmap1
, dim_map1
);
6227 bmap
= add_constraints_dim_map(bmap
, bmap2
, dim_map2
);
6228 bmap
= isl_basic_map_simplify(bmap
);
6229 return isl_basic_map_finalize(bmap
);
6231 isl_basic_map_free(bmap1
);
6232 isl_basic_map_free(bmap2
);
6236 /* Given two maps A -> B and C -> D, construct a map (A, C) -> (B, D)
6238 struct isl_map
*isl_map_product(struct isl_map
*map1
, struct isl_map
*map2
)
6241 struct isl_map
*result
;
6247 isl_assert(map1
->ctx
, isl_dim_match(map1
->dim
, isl_dim_param
,
6248 map2
->dim
, isl_dim_param
), goto error
);
6250 if (ISL_F_ISSET(map1
, ISL_MAP_DISJOINT
) &&
6251 ISL_F_ISSET(map2
, ISL_MAP_DISJOINT
))
6252 ISL_FL_SET(flags
, ISL_MAP_DISJOINT
);
6254 result
= isl_map_alloc_dim(isl_dim_product(isl_dim_copy(map1
->dim
),
6255 isl_dim_copy(map2
->dim
)),
6256 map1
->n
* map2
->n
, flags
);
6259 for (i
= 0; i
< map1
->n
; ++i
)
6260 for (j
= 0; j
< map2
->n
; ++j
) {
6261 struct isl_basic_map
*part
;
6262 part
= isl_basic_map_product(
6263 isl_basic_map_copy(map1
->p
[i
]),
6264 isl_basic_map_copy(map2
->p
[j
]));
6265 if (isl_basic_map_is_empty(part
))
6266 isl_basic_map_free(part
);
6268 result
= isl_map_add_basic_map(result
, part
);
6281 /* Given two set A and B, construct its Cartesian product A x B.
6283 struct isl_set
*isl_set_product(struct isl_set
*set1
, struct isl_set
*set2
)
6285 return (struct isl_set
*)isl_map_product((struct isl_map
*)set1
,
6286 (struct isl_map
*)set2
);
6289 uint32_t isl_basic_set_get_hash(struct isl_basic_set
*bset
)
6292 uint32_t hash
= isl_hash_init();
6297 bset
= isl_basic_set_copy(bset
);
6298 bset
= isl_basic_set_normalize(bset
);
6301 total
= isl_basic_set_total_dim(bset
);
6302 isl_hash_byte(hash
, bset
->n_eq
& 0xFF);
6303 for (i
= 0; i
< bset
->n_eq
; ++i
) {
6305 c_hash
= isl_seq_get_hash(bset
->eq
[i
], 1 + total
);
6306 isl_hash_hash(hash
, c_hash
);
6308 isl_hash_byte(hash
, bset
->n_ineq
& 0xFF);
6309 for (i
= 0; i
< bset
->n_ineq
; ++i
) {
6311 c_hash
= isl_seq_get_hash(bset
->ineq
[i
], 1 + total
);
6312 isl_hash_hash(hash
, c_hash
);
6314 isl_hash_byte(hash
, bset
->n_div
& 0xFF);
6315 for (i
= 0; i
< bset
->n_div
; ++i
) {
6317 if (isl_int_is_zero(bset
->div
[i
][0]))
6319 isl_hash_byte(hash
, i
& 0xFF);
6320 c_hash
= isl_seq_get_hash(bset
->div
[i
], 1 + 1 + total
);
6321 isl_hash_hash(hash
, c_hash
);
6323 isl_basic_set_free(bset
);
6327 uint32_t isl_set_get_hash(struct isl_set
*set
)
6334 set
= isl_set_copy(set
);
6335 set
= isl_set_normalize(set
);
6339 hash
= isl_hash_init();
6340 for (i
= 0; i
< set
->n
; ++i
) {
6342 bset_hash
= isl_basic_set_get_hash(set
->p
[i
]);
6343 isl_hash_hash(hash
, bset_hash
);
6351 /* Check if the value for dimension dim is completely determined
6352 * by the values of the other parameters and variables.
6353 * That is, check if dimension dim is involved in an equality.
6355 int isl_basic_set_dim_is_unique(struct isl_basic_set
*bset
, unsigned dim
)
6362 nparam
= isl_basic_set_n_param(bset
);
6363 for (i
= 0; i
< bset
->n_eq
; ++i
)
6364 if (!isl_int_is_zero(bset
->eq
[i
][1 + nparam
+ dim
]))
6369 /* Check if the value for dimension dim is completely determined
6370 * by the values of the other parameters and variables.
6371 * That is, check if dimension dim is involved in an equality
6372 * for each of the subsets.
6374 int isl_set_dim_is_unique(struct isl_set
*set
, unsigned dim
)
6380 for (i
= 0; i
< set
->n
; ++i
) {
6382 unique
= isl_basic_set_dim_is_unique(set
->p
[i
], dim
);
6389 int isl_map_foreach_basic_map(__isl_keep isl_map
*map
,
6390 int (*fn
)(__isl_take isl_basic_map
*bmap
, void *user
), void *user
)
6397 for (i
= 0; i
< map
->n
; ++i
)
6398 if (fn(isl_basic_map_copy(map
->p
[i
]), user
) < 0)
6404 int isl_set_foreach_basic_set(__isl_keep isl_set
*set
,
6405 int (*fn
)(__isl_take isl_basic_set
*bset
, void *user
), void *user
)
6412 for (i
= 0; i
< set
->n
; ++i
)
6413 if (fn(isl_basic_set_copy(set
->p
[i
]), user
) < 0)
6419 __isl_give isl_basic_set
*isl_basic_set_lift(__isl_take isl_basic_set
*bset
)
6421 struct isl_dim
*dim
;
6426 if (bset
->n_div
== 0)
6429 bset
= isl_basic_set_cow(bset
);
6433 dim
= isl_basic_set_get_dim(bset
);
6434 dim
= isl_dim_add(dim
, isl_dim_set
, bset
->n_div
);
6437 isl_dim_free(bset
->dim
);
6443 isl_basic_set_free(bset
);
6447 __isl_give isl_set
*isl_set_lift(__isl_take isl_set
*set
)
6450 struct isl_dim
*dim
;
6453 set
= isl_set_align_divs(set
);
6457 if (set
->n
== 0 || set
->p
[0]->n_div
== 0)
6460 set
= isl_set_cow(set
);
6464 n_div
= set
->p
[0]->n_div
;
6465 dim
= isl_set_get_dim(set
);
6466 dim
= isl_dim_add(dim
, isl_dim_set
, n_div
);
6469 isl_dim_free(set
->dim
);
6472 for (i
= 0; i
< set
->n
; ++i
) {
6473 set
->p
[i
] = isl_basic_set_lift(set
->p
[i
]);
6484 __isl_give isl_map
*isl_set_lifting(__isl_take isl_set
*set
)
6486 struct isl_dim
*dim
;
6487 struct isl_basic_map
*bmap
;
6494 set
= isl_set_align_divs(set
);
6499 dim
= isl_set_get_dim(set
);
6500 if (set
->n
== 0 || set
->p
[0]->n_div
== 0) {
6502 return isl_map_identity(dim
);
6505 n_div
= set
->p
[0]->n_div
;
6506 dim
= isl_dim_map(dim
);
6507 n_param
= isl_dim_size(dim
, isl_dim_param
);
6508 n_set
= isl_dim_size(dim
, isl_dim_in
);
6509 dim
= isl_dim_extend(dim
, n_param
, n_set
, n_set
+ n_div
);
6510 bmap
= isl_basic_map_alloc_dim(dim
, 0, n_set
, 2 * n_div
);
6511 for (i
= 0; i
< n_set
; ++i
)
6512 bmap
= var_equal(bmap
, i
);
6514 total
= n_param
+ n_set
+ n_set
+ n_div
;
6515 for (i
= 0; i
< n_div
; ++i
) {
6516 k
= isl_basic_map_alloc_inequality(bmap
);
6519 isl_seq_cpy(bmap
->ineq
[k
], set
->p
[0]->div
[i
]+1, 1+n_param
);
6520 isl_seq_clr(bmap
->ineq
[k
]+1+n_param
, n_set
);
6521 isl_seq_cpy(bmap
->ineq
[k
]+1+n_param
+n_set
,
6522 set
->p
[0]->div
[i
]+1+1+n_param
, n_set
+ n_div
);
6523 isl_int_neg(bmap
->ineq
[k
][1+n_param
+n_set
+n_set
+i
],
6524 set
->p
[0]->div
[i
][0]);
6526 l
= isl_basic_map_alloc_inequality(bmap
);
6529 isl_seq_neg(bmap
->ineq
[l
], bmap
->ineq
[k
], 1 + total
);
6530 isl_int_add(bmap
->ineq
[l
][0], bmap
->ineq
[l
][0],
6531 set
->p
[0]->div
[i
][0]);
6532 isl_int_sub_ui(bmap
->ineq
[l
][0], bmap
->ineq
[l
][0], 1);
6536 return isl_map_from_basic_map(bmap
);
6539 isl_basic_map_free(bmap
);
6543 int isl_basic_set_size(__isl_keep isl_basic_set
*bset
)
6551 dim
= isl_basic_set_total_dim(bset
);
6552 size
+= bset
->n_eq
* (1 + dim
);
6553 size
+= bset
->n_ineq
* (1 + dim
);
6554 size
+= bset
->n_div
* (2 + dim
);
6559 int isl_set_size(__isl_keep isl_set
*set
)
6567 for (i
= 0; i
< set
->n
; ++i
)
6568 size
+= isl_basic_set_size(set
->p
[i
]);
6573 int isl_basic_map_dim_is_bounded(__isl_keep isl_basic_map
*bmap
,
6574 enum isl_dim_type type
, unsigned pos
)
6582 isl_assert(bmap
->ctx
, pos
< isl_basic_map_dim(bmap
, type
), return -1);
6584 pos
+= isl_basic_map_offset(bmap
, type
);
6586 for (i
= 0; i
< bmap
->n_eq
; ++i
)
6587 if (!isl_int_is_zero(bmap
->eq
[i
][pos
]))
6591 for (i
= 0; i
< bmap
->n_ineq
; ++i
) {
6592 int sgn
= isl_int_sgn(bmap
->ineq
[i
][pos
]);
6599 return lower
&& upper
;
6602 int isl_map_dim_is_bounded(__isl_keep isl_map
*map
,
6603 enum isl_dim_type type
, unsigned pos
)
6610 for (i
= 0; i
< map
->n
; ++i
) {
6612 bounded
= isl_basic_map_dim_is_bounded(map
->p
[i
], type
, pos
);
6613 if (bounded
< 0 || !bounded
)
6620 /* Return 1 if the specified dim is involved in both an upper bound
6621 * and a lower bound.
6623 int isl_set_dim_is_bounded(__isl_keep isl_set
*set
,
6624 enum isl_dim_type type
, unsigned pos
)
6626 return isl_map_dim_is_bounded((isl_map
*)set
, type
, pos
);
6629 /* For each of the "n" variables starting at "first", determine
6630 * the sign of the variable and put the results in the first "n"
6631 * elements of the array "signs".
6633 * 1 means that the variable is non-negative
6634 * -1 means that the variable is non-positive
6635 * 0 means the variable attains both positive and negative values.
6637 int isl_basic_set_vars_get_sign(__isl_keep isl_basic_set
*bset
,
6638 unsigned first
, unsigned n
, int *signs
)
6640 isl_vec
*bound
= NULL
;
6641 struct isl_tab
*tab
= NULL
;
6642 struct isl_tab_undo
*snap
;
6645 if (!bset
|| !signs
)
6648 bound
= isl_vec_alloc(bset
->ctx
, 1 + isl_basic_set_total_dim(bset
));
6649 tab
= isl_tab_from_basic_set(bset
);
6653 isl_seq_clr(bound
->el
, bound
->size
);
6654 isl_int_set_si(bound
->el
[0], -1);
6656 snap
= isl_tab_snap(tab
);
6657 for (i
= 0; i
< n
; ++i
) {
6660 isl_int_set_si(bound
->el
[1 + first
+ i
], -1);
6661 if (isl_tab_add_ineq(tab
, bound
->el
) < 0)
6664 isl_int_set_si(bound
->el
[1 + first
+ i
], 0);
6665 if (isl_tab_rollback(tab
, snap
) < 0)
6673 isl_int_set_si(bound
->el
[1 + first
+ i
], 1);
6674 if (isl_tab_add_ineq(tab
, bound
->el
) < 0)
6677 isl_int_set_si(bound
->el
[1 + first
+ i
], 0);
6678 if (isl_tab_rollback(tab
, snap
) < 0)
6681 signs
[i
] = empty
? -1 : 0;
6685 isl_vec_free(bound
);
6689 isl_vec_free(bound
);
6693 int isl_basic_set_dims_get_sign(__isl_keep isl_basic_set
*bset
,
6694 enum isl_dim_type type
, unsigned first
, unsigned n
, int *signs
)
6696 if (!bset
|| !signs
)
6698 isl_assert(bset
->ctx
, first
+ n
<= isl_basic_set_dim(bset
, type
),
6701 first
+= pos(bset
->dim
, type
) - 1;
6702 return isl_basic_set_vars_get_sign(bset
, first
, n
, signs
);