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
17 #include "isl_dim_private.h"
18 #include "isl_equalities.h"
24 #include "isl_map_private.h"
25 #include "isl_map_piplib.h"
26 #include <isl_reordering.h>
27 #include "isl_sample.h"
30 #include <isl_mat_private.h>
32 /* Maps dst positions to src positions */
38 static struct isl_dim_map *isl_dim_map_alloc(struct isl_ctx *ctx, unsigned len)
41 struct isl_dim_map *dim_map;
42 dim_map = isl_alloc(ctx, struct isl_dim_map,
43 sizeof(struct isl_dim_map) + len * sizeof(int));
46 dim_map->len = 1 + len;
48 for (i = 0; i < len; ++i)
49 dim_map->pos[1 + i] = -1;
53 static unsigned n(struct isl_dim *dim, enum isl_dim_type type)
56 case isl_dim_param: return dim->nparam;
57 case isl_dim_in: return dim->n_in;
58 case isl_dim_out: return dim->n_out;
59 case isl_dim_all: return dim->nparam + dim->n_in + dim->n_out;
64 static unsigned pos(struct isl_dim *dim, enum isl_dim_type type)
67 case isl_dim_param: return 1;
68 case isl_dim_in: return 1 + dim->nparam;
69 case isl_dim_out: return 1 + dim->nparam + dim->n_in;
74 static void isl_dim_map_dim_range(struct isl_dim_map *dim_map,
75 struct isl_dim *dim, enum isl_dim_type type,
76 unsigned first, unsigned n, unsigned dst_pos)
84 src_pos = pos(dim, type);
85 for (i = 0; i < n; ++i)
86 dim_map->pos[1 + dst_pos + i] = src_pos + first + i;
89 static void isl_dim_map_dim(struct isl_dim_map *dim_map, struct isl_dim *dim,
90 enum isl_dim_type type, unsigned dst_pos)
92 isl_dim_map_dim_range(dim_map, dim, type, 0, n(dim, type), dst_pos);
95 static void isl_dim_map_div(struct isl_dim_map *dim_map,
96 struct isl_basic_map *bmap, unsigned dst_pos)
101 if (!dim_map || !bmap)
104 src_pos = 1 + isl_dim_total(bmap->dim);
105 for (i = 0; i < bmap->n_div; ++i)
106 dim_map->pos[1 + dst_pos + i] = src_pos + i;
109 static void isl_dim_map_dump(struct isl_dim_map *dim_map)
113 for (i = 0; i < dim_map->len; ++i)
114 fprintf(stderr, "%d -> %d; ", i, dim_map->pos[i]);
115 fprintf(stderr, "\n");
118 unsigned isl_basic_map_dim(const struct isl_basic_map *bmap,
119 enum isl_dim_type type)
124 case isl_dim_cst: return 1;
127 case isl_dim_out: return isl_dim_size(bmap->dim, type);
128 case isl_dim_div: return bmap->n_div;
129 case isl_dim_all: return isl_basic_map_total_dim(bmap);
134 unsigned isl_map_dim(const struct isl_map *map, enum isl_dim_type type)
136 return map ? n(map->dim, type) : 0;
139 unsigned isl_set_dim(const struct isl_set *set, enum isl_dim_type type)
141 return set ? n(set->dim, type) : 0;
144 unsigned isl_basic_map_offset(struct isl_basic_map *bmap,
145 enum isl_dim_type type)
147 struct isl_dim *dim = bmap->dim;
149 case isl_dim_cst: return 0;
150 case isl_dim_param: return 1;
151 case isl_dim_in: return 1 + dim->nparam;
152 case isl_dim_out: return 1 + dim->nparam + dim->n_in;
153 case isl_dim_div: return 1 + dim->nparam + dim->n_in + dim->n_out;
158 static unsigned map_offset(struct isl_map *map, enum isl_dim_type type)
160 return pos(map->dim, type);
163 unsigned isl_basic_set_dim(const struct isl_basic_set *bset,
164 enum isl_dim_type type)
166 return isl_basic_map_dim((const struct isl_basic_map*)bset, type);
169 unsigned isl_basic_set_n_dim(const struct isl_basic_set *bset)
171 return isl_basic_set_dim(bset, isl_dim_set);
174 unsigned isl_basic_set_n_param(const struct isl_basic_set *bset)
176 return isl_basic_set_dim(bset, isl_dim_param);
179 unsigned isl_basic_set_total_dim(const struct isl_basic_set *bset)
181 return isl_dim_total(bset->dim) + bset->n_div;
184 unsigned isl_set_n_dim(const struct isl_set *set)
186 return isl_set_dim(set, isl_dim_set);
189 unsigned isl_set_n_param(const struct isl_set *set)
191 return isl_set_dim(set, isl_dim_param);
194 unsigned isl_basic_map_n_in(const struct isl_basic_map *bmap)
196 return bmap ? bmap->dim->n_in : 0;
199 unsigned isl_basic_map_n_out(const struct isl_basic_map *bmap)
201 return bmap ? bmap->dim->n_out : 0;
204 unsigned isl_basic_map_n_param(const struct isl_basic_map *bmap)
206 return bmap ? bmap->dim->nparam : 0;
209 unsigned isl_basic_map_n_div(const struct isl_basic_map *bmap)
211 return bmap ? bmap->n_div : 0;
214 unsigned isl_basic_map_total_dim(const struct isl_basic_map *bmap)
216 return bmap ? isl_dim_total(bmap->dim) + bmap->n_div : 0;
219 unsigned isl_map_n_in(const struct isl_map *map)
221 return map->dim->n_in;
224 unsigned isl_map_n_out(const struct isl_map *map)
226 return map->dim->n_out;
229 unsigned isl_map_n_param(const struct isl_map *map)
231 return map->dim->nparam;
234 int isl_map_compatible_domain(struct isl_map *map, struct isl_set *set)
239 m = isl_dim_match(map->dim, isl_dim_param, set->dim, isl_dim_param);
242 return isl_dim_tuple_match(map->dim, isl_dim_in, set->dim, isl_dim_set);
245 int isl_basic_map_compatible_domain(struct isl_basic_map *bmap,
246 struct isl_basic_set *bset)
251 m = isl_dim_match(bmap->dim, isl_dim_param, bset->dim, isl_dim_param);
254 return isl_dim_tuple_match(bmap->dim, isl_dim_in, bset->dim, isl_dim_set);
257 int isl_basic_map_compatible_range(struct isl_basic_map *bmap,
258 struct isl_basic_set *bset)
263 m = isl_dim_match(bmap->dim, isl_dim_param, bset->dim, isl_dim_param);
266 return isl_dim_tuple_match(bmap->dim, isl_dim_out, bset->dim, isl_dim_set);
269 isl_ctx *isl_basic_map_get_ctx(__isl_keep isl_basic_map *bmap)
271 return bmap ? bmap->ctx : NULL;
274 isl_ctx *isl_basic_set_get_ctx(__isl_keep isl_basic_set *bset)
276 return bset ? bset->ctx : NULL;
279 isl_ctx *isl_map_get_ctx(__isl_keep isl_map *map)
281 return map ? map->ctx : NULL;
284 isl_ctx *isl_set_get_ctx(__isl_keep isl_set *set)
286 return set ? set->ctx : NULL;
289 struct isl_dim *isl_basic_map_get_dim(struct isl_basic_map *bmap)
293 return isl_dim_copy(bmap->dim);
296 struct isl_dim *isl_basic_set_get_dim(struct isl_basic_set *bset)
300 return isl_dim_copy(bset->dim);
303 struct isl_dim *isl_map_get_dim(struct isl_map *map)
307 return isl_dim_copy(map->dim);
310 struct isl_dim *isl_set_get_dim(struct isl_set *set)
314 return isl_dim_copy(set->dim);
317 __isl_give isl_basic_map *isl_basic_map_set_tuple_name(
318 __isl_take isl_basic_map *bmap, enum isl_dim_type type, const char *s)
320 bmap = isl_basic_map_cow(bmap);
323 bmap->dim = isl_dim_set_tuple_name(bmap->dim, type, s);
328 isl_basic_map_free(bmap);
332 const char *isl_basic_map_get_tuple_name(__isl_keep isl_basic_map *bmap,
333 enum isl_dim_type type)
335 return bmap ? isl_dim_get_tuple_name(bmap->dim, type) : NULL;
338 __isl_give isl_map *isl_map_set_tuple_name(__isl_take isl_map *map,
339 enum isl_dim_type type, const char *s)
343 map = isl_map_cow(map);
347 map->dim = isl_dim_set_tuple_name(map->dim, type, s);
351 for (i = 0; i < map->n; ++i) {
352 map->p[i] = isl_basic_map_set_tuple_name(map->p[i], type, s);
363 const char *isl_map_get_tuple_name(__isl_keep isl_map *map,
364 enum isl_dim_type type)
366 return map ? isl_dim_get_tuple_name(map->dim, type) : NULL;
369 __isl_give isl_set *isl_set_set_tuple_name(__isl_take isl_set *set,
372 return (isl_set *)isl_map_set_tuple_name((isl_map *)set, isl_dim_set, s);
375 const char *isl_set_get_tuple_name(__isl_keep isl_set *set)
377 return set ? isl_dim_get_tuple_name(set->dim, isl_dim_set) : NULL;
380 const char *isl_basic_map_get_dim_name(__isl_keep isl_basic_map *bmap,
381 enum isl_dim_type type, unsigned pos)
383 return bmap ? isl_dim_get_name(bmap->dim, type, pos) : NULL;
386 const char *isl_map_get_dim_name(__isl_keep isl_map *map,
387 enum isl_dim_type type, unsigned pos)
389 return map ? isl_dim_get_name(map->dim, type, pos) : NULL;
392 const char *isl_set_get_dim_name(__isl_keep isl_set *set,
393 enum isl_dim_type type, unsigned pos)
395 return set ? isl_dim_get_name(set->dim, type, pos) : NULL;
398 __isl_give isl_basic_map *isl_basic_map_set_dim_name(
399 __isl_take isl_basic_map *bmap,
400 enum isl_dim_type type, unsigned pos, const char *s)
404 bmap->dim = isl_dim_set_name(bmap->dim, type, pos, s);
409 isl_basic_map_free(bmap);
413 __isl_give isl_map *isl_map_set_dim_name(__isl_take isl_map *map,
414 enum isl_dim_type type, unsigned pos, const char *s)
421 map->dim = isl_dim_set_name(map->dim, type, pos, s);
425 for (i = 0; i < map->n; ++i) {
426 map->p[i] = isl_basic_map_set_dim_name(map->p[i], type, pos, s);
437 __isl_give isl_basic_set *isl_basic_set_set_dim_name(
438 __isl_take isl_basic_set *bset,
439 enum isl_dim_type type, unsigned pos, const char *s)
441 return (isl_basic_set *)isl_basic_map_set_dim_name(
442 (isl_basic_map *)bset, type, pos, s);
445 __isl_give isl_set *isl_set_set_dim_name(__isl_take isl_set *set,
446 enum isl_dim_type type, unsigned pos, const char *s)
448 return (isl_set *)isl_map_set_dim_name((isl_map *)set, type, pos, s);
451 int isl_basic_map_is_rational(__isl_keep isl_basic_map *bmap)
455 return ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL);
458 static struct isl_basic_map *basic_map_init(struct isl_ctx *ctx,
459 struct isl_basic_map *bmap, unsigned extra,
460 unsigned n_eq, unsigned n_ineq)
463 size_t row_size = 1 + isl_dim_total(bmap->dim) + extra;
468 bmap->block = isl_blk_alloc(ctx, (n_ineq + n_eq) * row_size);
469 if (isl_blk_is_error(bmap->block))
472 bmap->ineq = isl_alloc_array(ctx, isl_int *, n_ineq + n_eq);
477 bmap->block2 = isl_blk_empty();
480 bmap->block2 = isl_blk_alloc(ctx, extra * (1 + row_size));
481 if (isl_blk_is_error(bmap->block2))
484 bmap->div = isl_alloc_array(ctx, isl_int *, extra);
489 for (i = 0; i < n_ineq + n_eq; ++i)
490 bmap->ineq[i] = bmap->block.data + i * row_size;
492 for (i = 0; i < extra; ++i)
493 bmap->div[i] = bmap->block2.data + i * (1 + row_size);
497 bmap->c_size = n_eq + n_ineq;
498 bmap->eq = bmap->ineq + n_ineq;
507 isl_basic_map_free(bmap);
511 struct isl_basic_set *isl_basic_set_alloc(struct isl_ctx *ctx,
512 unsigned nparam, unsigned dim, unsigned extra,
513 unsigned n_eq, unsigned n_ineq)
515 struct isl_basic_map *bmap;
516 bmap = isl_basic_map_alloc(ctx, nparam, 0, dim, extra, n_eq, n_ineq);
517 return (struct isl_basic_set *)bmap;
520 struct isl_basic_set *isl_basic_set_alloc_dim(struct isl_dim *dim,
521 unsigned extra, unsigned n_eq, unsigned n_ineq)
523 struct isl_basic_map *bmap;
526 isl_assert(dim->ctx, dim->n_in == 0, return NULL);
527 bmap = isl_basic_map_alloc_dim(dim, extra, n_eq, n_ineq);
528 return (struct isl_basic_set *)bmap;
531 struct isl_basic_map *isl_basic_map_alloc_dim(struct isl_dim *dim,
532 unsigned extra, unsigned n_eq, unsigned n_ineq)
534 struct isl_basic_map *bmap;
538 bmap = isl_calloc_type(dim->ctx, struct isl_basic_map);
543 return basic_map_init(dim->ctx, bmap, extra, n_eq, n_ineq);
549 struct isl_basic_map *isl_basic_map_alloc(struct isl_ctx *ctx,
550 unsigned nparam, unsigned in, unsigned out, unsigned extra,
551 unsigned n_eq, unsigned n_ineq)
553 struct isl_basic_map *bmap;
556 dim = isl_dim_alloc(ctx, nparam, in, out);
560 bmap = isl_basic_map_alloc_dim(dim, extra, n_eq, n_ineq);
564 static void dup_constraints(
565 struct isl_basic_map *dst, struct isl_basic_map *src)
568 unsigned total = isl_basic_map_total_dim(src);
570 for (i = 0; i < src->n_eq; ++i) {
571 int j = isl_basic_map_alloc_equality(dst);
572 isl_seq_cpy(dst->eq[j], src->eq[i], 1+total);
575 for (i = 0; i < src->n_ineq; ++i) {
576 int j = isl_basic_map_alloc_inequality(dst);
577 isl_seq_cpy(dst->ineq[j], src->ineq[i], 1+total);
580 for (i = 0; i < src->n_div; ++i) {
581 int j = isl_basic_map_alloc_div(dst);
582 isl_seq_cpy(dst->div[j], src->div[i], 1+1+total);
584 ISL_F_SET(dst, ISL_BASIC_SET_FINAL);
587 struct isl_basic_map *isl_basic_map_dup(struct isl_basic_map *bmap)
589 struct isl_basic_map *dup;
593 dup = isl_basic_map_alloc_dim(isl_dim_copy(bmap->dim),
594 bmap->n_div, bmap->n_eq, bmap->n_ineq);
597 dup_constraints(dup, bmap);
598 dup->flags = bmap->flags;
599 dup->sample = isl_vec_copy(bmap->sample);
603 struct isl_basic_set *isl_basic_set_dup(struct isl_basic_set *bset)
605 struct isl_basic_map *dup;
607 dup = isl_basic_map_dup((struct isl_basic_map *)bset);
608 return (struct isl_basic_set *)dup;
611 struct isl_basic_set *isl_basic_set_copy(struct isl_basic_set *bset)
616 if (ISL_F_ISSET(bset, ISL_BASIC_SET_FINAL)) {
620 return isl_basic_set_dup(bset);
623 struct isl_set *isl_set_copy(struct isl_set *set)
632 struct isl_basic_map *isl_basic_map_copy(struct isl_basic_map *bmap)
637 if (ISL_F_ISSET(bmap, ISL_BASIC_SET_FINAL)) {
641 bmap = isl_basic_map_dup(bmap);
643 ISL_F_SET(bmap, ISL_BASIC_SET_FINAL);
647 struct isl_map *isl_map_copy(struct isl_map *map)
656 void isl_basic_map_free(struct isl_basic_map *bmap)
664 isl_ctx_deref(bmap->ctx);
666 isl_blk_free(bmap->ctx, bmap->block2);
668 isl_blk_free(bmap->ctx, bmap->block);
669 isl_vec_free(bmap->sample);
670 isl_dim_free(bmap->dim);
674 void isl_basic_set_free(struct isl_basic_set *bset)
676 isl_basic_map_free((struct isl_basic_map *)bset);
679 static int room_for_con(struct isl_basic_map *bmap, unsigned n)
681 return bmap->n_eq + bmap->n_ineq + n <= bmap->c_size;
684 int isl_basic_map_alloc_equality(struct isl_basic_map *bmap)
690 isl_assert(ctx, room_for_con(bmap, 1), return -1);
691 isl_assert(ctx, (bmap->eq - bmap->ineq) + bmap->n_eq <= bmap->c_size,
693 ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
694 ISL_F_CLR(bmap, ISL_BASIC_MAP_NO_REDUNDANT);
695 ISL_F_CLR(bmap, ISL_BASIC_MAP_NO_IMPLICIT);
696 ISL_F_CLR(bmap, ISL_BASIC_MAP_ALL_EQUALITIES);
697 ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED_DIVS);
698 if ((bmap->eq - bmap->ineq) + bmap->n_eq == bmap->c_size) {
700 int j = isl_basic_map_alloc_inequality(bmap);
704 bmap->ineq[j] = bmap->ineq[bmap->n_ineq - 1];
705 bmap->ineq[bmap->n_ineq - 1] = bmap->eq[-1];
712 isl_seq_clr(bmap->eq[bmap->n_eq] + 1 + isl_basic_map_total_dim(bmap),
713 bmap->extra - bmap->n_div);
717 int isl_basic_set_alloc_equality(struct isl_basic_set *bset)
719 return isl_basic_map_alloc_equality((struct isl_basic_map *)bset);
722 int isl_basic_map_free_equality(struct isl_basic_map *bmap, unsigned n)
726 isl_assert(bmap->ctx, n <= bmap->n_eq, return -1);
731 int isl_basic_set_free_equality(struct isl_basic_set *bset, unsigned n)
733 return isl_basic_map_free_equality((struct isl_basic_map *)bset, n);
736 int isl_basic_map_drop_equality(struct isl_basic_map *bmap, unsigned pos)
741 isl_assert(bmap->ctx, pos < bmap->n_eq, return -1);
743 if (pos != bmap->n_eq - 1) {
745 bmap->eq[pos] = bmap->eq[bmap->n_eq - 1];
746 bmap->eq[bmap->n_eq - 1] = t;
752 int isl_basic_set_drop_equality(struct isl_basic_set *bset, unsigned pos)
754 return isl_basic_map_drop_equality((struct isl_basic_map *)bset, pos);
757 void isl_basic_map_inequality_to_equality(
758 struct isl_basic_map *bmap, unsigned pos)
763 bmap->ineq[pos] = bmap->ineq[bmap->n_ineq - 1];
764 bmap->ineq[bmap->n_ineq - 1] = bmap->eq[-1];
769 ISL_F_CLR(bmap, ISL_BASIC_MAP_NO_REDUNDANT);
770 ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
771 ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED_DIVS);
772 ISL_F_CLR(bmap, ISL_BASIC_MAP_ALL_EQUALITIES);
775 static int room_for_ineq(struct isl_basic_map *bmap, unsigned n)
777 return bmap->n_ineq + n <= bmap->eq - bmap->ineq;
780 int isl_basic_map_alloc_inequality(struct isl_basic_map *bmap)
786 isl_assert(ctx, room_for_ineq(bmap, 1), return -1);
787 ISL_F_CLR(bmap, ISL_BASIC_MAP_NO_IMPLICIT);
788 ISL_F_CLR(bmap, ISL_BASIC_MAP_NO_REDUNDANT);
789 ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
790 ISL_F_CLR(bmap, ISL_BASIC_MAP_ALL_EQUALITIES);
791 isl_seq_clr(bmap->ineq[bmap->n_ineq] +
792 1 + isl_basic_map_total_dim(bmap),
793 bmap->extra - bmap->n_div);
794 return bmap->n_ineq++;
797 int isl_basic_set_alloc_inequality(struct isl_basic_set *bset)
799 return isl_basic_map_alloc_inequality((struct isl_basic_map *)bset);
802 int isl_basic_map_free_inequality(struct isl_basic_map *bmap, unsigned n)
806 isl_assert(bmap->ctx, n <= bmap->n_ineq, return -1);
811 int isl_basic_set_free_inequality(struct isl_basic_set *bset, unsigned n)
813 return isl_basic_map_free_inequality((struct isl_basic_map *)bset, n);
816 int isl_basic_map_drop_inequality(struct isl_basic_map *bmap, unsigned pos)
821 isl_assert(bmap->ctx, pos < bmap->n_ineq, return -1);
823 if (pos != bmap->n_ineq - 1) {
825 bmap->ineq[pos] = bmap->ineq[bmap->n_ineq - 1];
826 bmap->ineq[bmap->n_ineq - 1] = t;
827 ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
833 int isl_basic_set_drop_inequality(struct isl_basic_set *bset, unsigned pos)
835 return isl_basic_map_drop_inequality((struct isl_basic_map *)bset, pos);
838 __isl_give isl_basic_map *isl_basic_map_add_eq(__isl_take isl_basic_map *bmap,
843 bmap = isl_basic_map_extend_constraints(bmap, 1, 0);
846 k = isl_basic_map_alloc_equality(bmap);
849 isl_seq_cpy(bmap->eq[k], eq, 1 + isl_basic_map_total_dim(bmap));
852 isl_basic_map_free(bmap);
856 __isl_give isl_basic_set *isl_basic_set_add_eq(__isl_take isl_basic_set *bset,
859 return (isl_basic_set *)
860 isl_basic_map_add_eq((isl_basic_map *)bset, eq);
863 __isl_give isl_basic_map *isl_basic_map_add_ineq(__isl_take isl_basic_map *bmap,
868 bmap = isl_basic_map_extend_constraints(bmap, 0, 1);
871 k = isl_basic_map_alloc_inequality(bmap);
874 isl_seq_cpy(bmap->ineq[k], ineq, 1 + isl_basic_map_total_dim(bmap));
877 isl_basic_map_free(bmap);
881 __isl_give isl_basic_set *isl_basic_set_add_ineq(__isl_take isl_basic_set *bset,
884 return (isl_basic_set *)
885 isl_basic_map_add_ineq((isl_basic_map *)bset, ineq);
888 int isl_basic_map_alloc_div(struct isl_basic_map *bmap)
892 isl_assert(bmap->ctx, bmap->n_div < bmap->extra, return -1);
893 isl_seq_clr(bmap->div[bmap->n_div] +
894 1 + 1 + isl_basic_map_total_dim(bmap),
895 bmap->extra - bmap->n_div);
896 ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED_DIVS);
897 return bmap->n_div++;
900 int isl_basic_set_alloc_div(struct isl_basic_set *bset)
902 return isl_basic_map_alloc_div((struct isl_basic_map *)bset);
905 int isl_basic_map_free_div(struct isl_basic_map *bmap, unsigned n)
909 isl_assert(bmap->ctx, n <= bmap->n_div, return -1);
914 int isl_basic_set_free_div(struct isl_basic_set *bset, unsigned n)
916 return isl_basic_map_free_div((struct isl_basic_map *)bset, n);
919 /* Copy constraint from src to dst, putting the vars of src at offset
920 * dim_off in dst and the divs of src at offset div_off in dst.
921 * If both sets are actually map, then dim_off applies to the input
924 static void copy_constraint(struct isl_basic_map *dst_map, isl_int *dst,
925 struct isl_basic_map *src_map, isl_int *src,
926 unsigned in_off, unsigned out_off, unsigned div_off)
928 unsigned src_nparam = isl_basic_map_n_param(src_map);
929 unsigned dst_nparam = isl_basic_map_n_param(dst_map);
930 unsigned src_in = isl_basic_map_n_in(src_map);
931 unsigned dst_in = isl_basic_map_n_in(dst_map);
932 unsigned src_out = isl_basic_map_n_out(src_map);
933 unsigned dst_out = isl_basic_map_n_out(dst_map);
934 isl_int_set(dst[0], src[0]);
935 isl_seq_cpy(dst+1, src+1, isl_min(dst_nparam, src_nparam));
936 if (dst_nparam > src_nparam)
937 isl_seq_clr(dst+1+src_nparam,
938 dst_nparam - src_nparam);
939 isl_seq_clr(dst+1+dst_nparam, in_off);
940 isl_seq_cpy(dst+1+dst_nparam+in_off,
942 isl_min(dst_in-in_off, src_in));
943 if (dst_in-in_off > src_in)
944 isl_seq_clr(dst+1+dst_nparam+in_off+src_in,
945 dst_in - in_off - src_in);
946 isl_seq_clr(dst+1+dst_nparam+dst_in, out_off);
947 isl_seq_cpy(dst+1+dst_nparam+dst_in+out_off,
948 src+1+src_nparam+src_in,
949 isl_min(dst_out-out_off, src_out));
950 if (dst_out-out_off > src_out)
951 isl_seq_clr(dst+1+dst_nparam+dst_in+out_off+src_out,
952 dst_out - out_off - src_out);
953 isl_seq_clr(dst+1+dst_nparam+dst_in+dst_out, div_off);
954 isl_seq_cpy(dst+1+dst_nparam+dst_in+dst_out+div_off,
955 src+1+src_nparam+src_in+src_out,
956 isl_min(dst_map->extra-div_off, src_map->n_div));
957 if (dst_map->n_div-div_off > src_map->n_div)
958 isl_seq_clr(dst+1+dst_nparam+dst_in+dst_out+
959 div_off+src_map->n_div,
960 dst_map->n_div - div_off - src_map->n_div);
963 static void copy_div(struct isl_basic_map *dst_map, isl_int *dst,
964 struct isl_basic_map *src_map, isl_int *src,
965 unsigned in_off, unsigned out_off, unsigned div_off)
967 isl_int_set(dst[0], src[0]);
968 copy_constraint(dst_map, dst+1, src_map, src+1, in_off, out_off, div_off);
971 static struct isl_basic_map *add_constraints(struct isl_basic_map *bmap1,
972 struct isl_basic_map *bmap2, unsigned i_pos, unsigned o_pos)
977 if (!bmap1 || !bmap2)
980 div_off = bmap1->n_div;
982 for (i = 0; i < bmap2->n_eq; ++i) {
983 int i1 = isl_basic_map_alloc_equality(bmap1);
986 copy_constraint(bmap1, bmap1->eq[i1], bmap2, bmap2->eq[i],
987 i_pos, o_pos, div_off);
990 for (i = 0; i < bmap2->n_ineq; ++i) {
991 int i1 = isl_basic_map_alloc_inequality(bmap1);
994 copy_constraint(bmap1, bmap1->ineq[i1], bmap2, bmap2->ineq[i],
995 i_pos, o_pos, div_off);
998 for (i = 0; i < bmap2->n_div; ++i) {
999 int i1 = isl_basic_map_alloc_div(bmap1);
1002 copy_div(bmap1, bmap1->div[i1], bmap2, bmap2->div[i],
1003 i_pos, o_pos, div_off);
1006 isl_basic_map_free(bmap2);
1011 isl_basic_map_free(bmap1);
1012 isl_basic_map_free(bmap2);
1016 static void copy_constraint_dim_map(isl_int *dst, isl_int *src,
1017 struct isl_dim_map *dim_map)
1021 for (i = 0; i < dim_map->len; ++i) {
1022 if (dim_map->pos[i] < 0)
1023 isl_int_set_si(dst[i], 0);
1025 isl_int_set(dst[i], src[dim_map->pos[i]]);
1029 static void copy_div_dim_map(isl_int *dst, isl_int *src,
1030 struct isl_dim_map *dim_map)
1032 isl_int_set(dst[0], src[0]);
1033 copy_constraint_dim_map(dst+1, src+1, dim_map);
1036 static struct isl_basic_map *add_constraints_dim_map(struct isl_basic_map *dst,
1037 struct isl_basic_map *src, struct isl_dim_map *dim_map)
1041 if (!src || !dst || !dim_map)
1044 for (i = 0; i < src->n_eq; ++i) {
1045 int i1 = isl_basic_map_alloc_equality(dst);
1048 copy_constraint_dim_map(dst->eq[i1], src->eq[i], dim_map);
1051 for (i = 0; i < src->n_ineq; ++i) {
1052 int i1 = isl_basic_map_alloc_inequality(dst);
1055 copy_constraint_dim_map(dst->ineq[i1], src->ineq[i], dim_map);
1058 for (i = 0; i < src->n_div; ++i) {
1059 int i1 = isl_basic_map_alloc_div(dst);
1062 copy_div_dim_map(dst->div[i1], src->div[i], dim_map);
1066 isl_basic_map_free(src);
1071 isl_basic_map_free(src);
1072 isl_basic_map_free(dst);
1076 struct isl_basic_set *isl_basic_set_add_constraints(struct isl_basic_set *bset1,
1077 struct isl_basic_set *bset2, unsigned pos)
1079 return (struct isl_basic_set *)
1080 add_constraints((struct isl_basic_map *)bset1,
1081 (struct isl_basic_map *)bset2, 0, pos);
1084 struct isl_basic_map *isl_basic_map_extend_dim(struct isl_basic_map *base,
1085 struct isl_dim *dim, unsigned extra,
1086 unsigned n_eq, unsigned n_ineq)
1088 struct isl_basic_map *ext;
1098 dims_ok = isl_dim_equal(base->dim, dim) &&
1099 base->extra >= base->n_div + extra;
1101 if (dims_ok && room_for_con(base, n_eq + n_ineq) &&
1102 room_for_ineq(base, n_ineq)) {
1107 isl_assert(base->ctx, base->dim->nparam <= dim->nparam, goto error);
1108 isl_assert(base->ctx, base->dim->n_in <= dim->n_in, goto error);
1109 isl_assert(base->ctx, base->dim->n_out <= dim->n_out, goto error);
1110 extra += base->extra;
1112 n_ineq += base->n_ineq;
1114 ext = isl_basic_map_alloc_dim(dim, extra, n_eq, n_ineq);
1120 ext->sample = isl_vec_copy(base->sample);
1121 flags = base->flags;
1122 ext = add_constraints(ext, base, 0, 0);
1125 ISL_F_CLR(ext, ISL_BASIC_SET_FINAL);
1132 isl_basic_map_free(base);
1136 struct isl_basic_set *isl_basic_set_extend_dim(struct isl_basic_set *base,
1137 struct isl_dim *dim, unsigned extra,
1138 unsigned n_eq, unsigned n_ineq)
1140 return (struct isl_basic_set *)
1141 isl_basic_map_extend_dim((struct isl_basic_map *)base, dim,
1142 extra, n_eq, n_ineq);
1145 struct isl_basic_map *isl_basic_map_extend_constraints(
1146 struct isl_basic_map *base, unsigned n_eq, unsigned n_ineq)
1150 return isl_basic_map_extend_dim(base, isl_dim_copy(base->dim),
1154 struct isl_basic_map *isl_basic_map_extend(struct isl_basic_map *base,
1155 unsigned nparam, unsigned n_in, unsigned n_out, unsigned extra,
1156 unsigned n_eq, unsigned n_ineq)
1158 struct isl_basic_map *bmap;
1159 struct isl_dim *dim;
1163 dim = isl_dim_alloc(base->ctx, nparam, n_in, n_out);
1167 bmap = isl_basic_map_extend_dim(base, dim, extra, n_eq, n_ineq);
1170 isl_basic_map_free(base);
1174 struct isl_basic_set *isl_basic_set_extend(struct isl_basic_set *base,
1175 unsigned nparam, unsigned dim, unsigned extra,
1176 unsigned n_eq, unsigned n_ineq)
1178 return (struct isl_basic_set *)
1179 isl_basic_map_extend((struct isl_basic_map *)base,
1180 nparam, 0, dim, extra, n_eq, n_ineq);
1183 struct isl_basic_set *isl_basic_set_extend_constraints(
1184 struct isl_basic_set *base, unsigned n_eq, unsigned n_ineq)
1186 return (struct isl_basic_set *)
1187 isl_basic_map_extend_constraints((struct isl_basic_map *)base,
1191 struct isl_basic_set *isl_basic_set_cow(struct isl_basic_set *bset)
1193 return (struct isl_basic_set *)
1194 isl_basic_map_cow((struct isl_basic_map *)bset);
1197 struct isl_basic_map *isl_basic_map_cow(struct isl_basic_map *bmap)
1202 if (bmap->ref > 1) {
1204 bmap = isl_basic_map_dup(bmap);
1207 ISL_F_CLR(bmap, ISL_BASIC_SET_FINAL);
1211 struct isl_set *isl_set_cow(struct isl_set *set)
1219 return isl_set_dup(set);
1222 struct isl_map *isl_map_cow(struct isl_map *map)
1230 return isl_map_dup(map);
1233 static void swap_vars(struct isl_blk blk, isl_int *a,
1234 unsigned a_len, unsigned b_len)
1236 isl_seq_cpy(blk.data, a+a_len, b_len);
1237 isl_seq_cpy(blk.data+b_len, a, a_len);
1238 isl_seq_cpy(a, blk.data, b_len+a_len);
1241 struct isl_basic_set *isl_basic_set_swap_vars(
1242 struct isl_basic_set *bset, unsigned n)
1252 nparam = isl_basic_set_n_param(bset);
1253 dim = isl_basic_set_n_dim(bset);
1254 isl_assert(bset->ctx, n <= dim, goto error);
1259 bset = isl_basic_set_cow(bset);
1263 blk = isl_blk_alloc(bset->ctx, dim);
1264 if (isl_blk_is_error(blk))
1267 for (i = 0; i < bset->n_eq; ++i)
1269 bset->eq[i]+1+nparam, n, dim - n);
1271 for (i = 0; i < bset->n_ineq; ++i)
1273 bset->ineq[i]+1+nparam, n, dim - n);
1275 for (i = 0; i < bset->n_div; ++i)
1277 bset->div[i]+1+1+nparam, n, dim - n);
1279 isl_blk_free(bset->ctx, blk);
1281 ISL_F_CLR(bset, ISL_BASIC_SET_NORMALIZED);
1282 bset = isl_basic_set_gauss(bset, NULL);
1283 return isl_basic_set_finalize(bset);
1285 isl_basic_set_free(bset);
1289 struct isl_set *isl_set_swap_vars(struct isl_set *set, unsigned n)
1292 set = isl_set_cow(set);
1296 for (i = 0; i < set->n; ++i) {
1297 set->p[i] = isl_basic_set_swap_vars(set->p[i], n);
1303 ISL_F_CLR(set, ISL_SET_NORMALIZED);
1307 struct isl_basic_map *isl_basic_map_set_to_empty(struct isl_basic_map *bmap)
1313 total = isl_basic_map_total_dim(bmap);
1314 isl_basic_map_free_div(bmap, bmap->n_div);
1315 isl_basic_map_free_inequality(bmap, bmap->n_ineq);
1317 isl_basic_map_free_equality(bmap, bmap->n_eq-1);
1319 i = isl_basic_map_alloc_equality(bmap);
1323 isl_int_set_si(bmap->eq[i][0], 1);
1324 isl_seq_clr(bmap->eq[i]+1, total);
1325 ISL_F_SET(bmap, ISL_BASIC_MAP_EMPTY);
1326 isl_vec_free(bmap->sample);
1327 bmap->sample = NULL;
1328 return isl_basic_map_finalize(bmap);
1330 isl_basic_map_free(bmap);
1334 struct isl_basic_set *isl_basic_set_set_to_empty(struct isl_basic_set *bset)
1336 return (struct isl_basic_set *)
1337 isl_basic_map_set_to_empty((struct isl_basic_map *)bset);
1340 void isl_basic_map_swap_div(struct isl_basic_map *bmap, int a, int b)
1343 unsigned off = isl_dim_total(bmap->dim);
1344 isl_int *t = bmap->div[a];
1345 bmap->div[a] = bmap->div[b];
1348 for (i = 0; i < bmap->n_eq; ++i)
1349 isl_int_swap(bmap->eq[i][1+off+a], bmap->eq[i][1+off+b]);
1351 for (i = 0; i < bmap->n_ineq; ++i)
1352 isl_int_swap(bmap->ineq[i][1+off+a], bmap->ineq[i][1+off+b]);
1354 for (i = 0; i < bmap->n_div; ++i)
1355 isl_int_swap(bmap->div[i][1+1+off+a], bmap->div[i][1+1+off+b]);
1356 ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
1359 /* Eliminate the specified n dimensions starting at first from the
1360 * constraints using Fourier-Motzkin. The dimensions themselves
1363 __isl_give isl_map *isl_map_eliminate(__isl_take isl_map *map,
1364 enum isl_dim_type type, unsigned first, unsigned n)
1373 map = isl_map_cow(map);
1376 isl_assert(map->ctx, first + n <= isl_map_dim(map, type), goto error);
1377 first += pos(map->dim, type) - 1;
1379 for (i = 0; i < map->n; ++i) {
1380 map->p[i] = isl_basic_map_eliminate_vars(map->p[i], first, n);
1390 /* Eliminate the specified n dimensions starting at first from the
1391 * constraints using Fourier-Motzkin. The dimensions themselves
1394 __isl_give isl_set *isl_set_eliminate(__isl_take isl_set *set,
1395 enum isl_dim_type type, unsigned first, unsigned n)
1397 return (isl_set *)isl_map_eliminate((isl_map *)set, type, first, n);
1400 /* Eliminate the specified n dimensions starting at first from the
1401 * constraints using Fourier-Motzkin. The dimensions themselves
1404 __isl_give isl_set *isl_set_eliminate_dims(__isl_take isl_set *set,
1405 unsigned first, unsigned n)
1407 return isl_set_eliminate(set, isl_dim_set, first, n);
1410 /* Project out n dimensions starting at first using Fourier-Motzkin */
1411 struct isl_set *isl_set_remove_dims(struct isl_set *set,
1412 unsigned first, unsigned n)
1414 set = isl_set_eliminate_dims(set, first, n);
1415 set = isl_set_drop_dims(set, first, n);
1419 __isl_give isl_basic_map *isl_basic_map_remove_divs(
1420 __isl_take isl_basic_map *bmap)
1422 bmap = isl_basic_map_eliminate_vars(bmap, isl_dim_total(bmap->dim),
1430 __isl_give isl_basic_set *isl_basic_set_remove_divs(
1431 __isl_take isl_basic_set *bset)
1433 return (struct isl_basic_set *)isl_basic_map_remove_divs(
1434 (struct isl_basic_map *)bset);
1437 struct isl_set *isl_set_remove_divs(struct isl_set *set)
1446 set = isl_set_cow(set);
1450 for (i = 0; i < set->n; ++i) {
1451 set->p[i] = isl_basic_set_remove_divs(set->p[i]);
1461 struct isl_basic_map *isl_basic_map_remove(struct isl_basic_map *bmap,
1462 enum isl_dim_type type, unsigned first, unsigned n)
1466 isl_assert(bmap->ctx, first + n <= isl_basic_map_dim(bmap, type),
1470 bmap = isl_basic_map_eliminate_vars(bmap,
1471 isl_basic_map_offset(bmap, type) - 1 + first, n);
1474 if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_EMPTY) && type == isl_dim_div)
1476 bmap = isl_basic_map_drop(bmap, type, first, n);
1479 isl_basic_map_free(bmap);
1483 __isl_give isl_basic_set *isl_basic_set_remove(__isl_take isl_basic_set *bset,
1484 enum isl_dim_type type, unsigned first, unsigned n)
1486 return (isl_basic_set *)
1487 isl_basic_map_remove((isl_basic_map *)bset, type, first, n);
1490 struct isl_map *isl_map_remove(struct isl_map *map,
1491 enum isl_dim_type type, unsigned first, unsigned n)
1498 map = isl_map_cow(map);
1501 isl_assert(map->ctx, first + n <= isl_map_dim(map, type), goto error);
1503 for (i = 0; i < map->n; ++i) {
1504 map->p[i] = isl_basic_map_eliminate_vars(map->p[i],
1505 isl_basic_map_offset(map->p[i], type) - 1 + first, n);
1509 map = isl_map_drop(map, type, first, n);
1516 __isl_give isl_set *isl_set_remove(__isl_take isl_set *bset,
1517 enum isl_dim_type type, unsigned first, unsigned n)
1519 return (isl_set *)isl_map_remove((isl_map *)bset, type, first, n);
1522 /* Project out n inputs starting at first using Fourier-Motzkin */
1523 struct isl_map *isl_map_remove_inputs(struct isl_map *map,
1524 unsigned first, unsigned n)
1526 return isl_map_remove(map, isl_dim_in, first, n);
1529 /* Project out n dimensions starting at first using Fourier-Motzkin */
1530 struct isl_basic_set *isl_basic_set_remove_dims(struct isl_basic_set *bset,
1531 unsigned first, unsigned n)
1533 unsigned nparam = isl_basic_set_n_param(bset);
1534 bset = isl_basic_set_eliminate_vars(bset, nparam + first, n);
1535 bset = isl_basic_set_drop_dims(bset, first, n);
1539 static void dump_term(struct isl_basic_map *bmap,
1540 isl_int c, int pos, FILE *out)
1543 unsigned in = isl_basic_map_n_in(bmap);
1544 unsigned dim = in + isl_basic_map_n_out(bmap);
1545 unsigned nparam = isl_basic_map_n_param(bmap);
1547 isl_int_print(out, c, 0);
1549 if (!isl_int_is_one(c))
1550 isl_int_print(out, c, 0);
1551 if (pos < 1 + nparam) {
1552 name = isl_dim_get_name(bmap->dim,
1553 isl_dim_param, pos - 1);
1555 fprintf(out, "%s", name);
1557 fprintf(out, "p%d", pos - 1);
1558 } else if (pos < 1 + nparam + in)
1559 fprintf(out, "i%d", pos - 1 - nparam);
1560 else if (pos < 1 + nparam + dim)
1561 fprintf(out, "o%d", pos - 1 - nparam - in);
1563 fprintf(out, "e%d", pos - 1 - nparam - dim);
1567 static void dump_constraint_sign(struct isl_basic_map *bmap, isl_int *c,
1568 int sign, FILE *out)
1572 unsigned len = 1 + isl_basic_map_total_dim(bmap);
1576 for (i = 0, first = 1; i < len; ++i) {
1577 if (isl_int_sgn(c[i]) * sign <= 0)
1580 fprintf(out, " + ");
1582 isl_int_abs(v, c[i]);
1583 dump_term(bmap, v, i, out);
1590 static void dump_constraint(struct isl_basic_map *bmap, isl_int *c,
1591 const char *op, FILE *out, int indent)
1595 fprintf(out, "%*s", indent, "");
1597 dump_constraint_sign(bmap, c, 1, out);
1598 fprintf(out, " %s ", op);
1599 dump_constraint_sign(bmap, c, -1, out);
1603 for (i = bmap->n_div; i < bmap->extra; ++i) {
1604 if (isl_int_is_zero(c[1+isl_dim_total(bmap->dim)+i]))
1606 fprintf(out, "%*s", indent, "");
1607 fprintf(out, "ERROR: unused div coefficient not zero\n");
1612 static void dump_constraints(struct isl_basic_map *bmap,
1613 isl_int **c, unsigned n,
1614 const char *op, FILE *out, int indent)
1618 for (i = 0; i < n; ++i)
1619 dump_constraint(bmap, c[i], op, out, indent);
1622 static void dump_affine(struct isl_basic_map *bmap, isl_int *exp, FILE *out)
1626 unsigned total = isl_basic_map_total_dim(bmap);
1628 for (j = 0; j < 1 + total; ++j) {
1629 if (isl_int_is_zero(exp[j]))
1631 if (!first && isl_int_is_pos(exp[j]))
1633 dump_term(bmap, exp[j], j, out);
1638 static void dump(struct isl_basic_map *bmap, FILE *out, int indent)
1642 dump_constraints(bmap, bmap->eq, bmap->n_eq, "=", out, indent);
1643 dump_constraints(bmap, bmap->ineq, bmap->n_ineq, ">=", out, indent);
1645 for (i = 0; i < bmap->n_div; ++i) {
1646 fprintf(out, "%*s", indent, "");
1647 fprintf(out, "e%d = [(", i);
1648 dump_affine(bmap, bmap->div[i]+1, out);
1650 isl_int_print(out, bmap->div[i][0], 0);
1651 fprintf(out, "]\n");
1655 void isl_basic_set_dump(struct isl_basic_set *bset, FILE *out, int indent)
1658 fprintf(out, "null basic set\n");
1662 fprintf(out, "%*s", indent, "");
1663 fprintf(out, "ref: %d, nparam: %d, dim: %d, extra: %d, flags: %x\n",
1664 bset->ref, bset->dim->nparam, bset->dim->n_out,
1665 bset->extra, bset->flags);
1666 dump((struct isl_basic_map *)bset, out, indent);
1669 void isl_basic_map_dump(struct isl_basic_map *bmap, FILE *out, int indent)
1672 fprintf(out, "null basic map\n");
1676 fprintf(out, "%*s", indent, "");
1677 fprintf(out, "ref: %d, nparam: %d, in: %d, out: %d, extra: %d, "
1678 "flags: %x, n_name: %d\n",
1680 bmap->dim->nparam, bmap->dim->n_in, bmap->dim->n_out,
1681 bmap->extra, bmap->flags, bmap->dim->n_name);
1682 dump(bmap, out, indent);
1685 int isl_inequality_negate(struct isl_basic_map *bmap, unsigned pos)
1690 total = isl_basic_map_total_dim(bmap);
1691 isl_assert(bmap->ctx, pos < bmap->n_ineq, return -1);
1692 isl_seq_neg(bmap->ineq[pos], bmap->ineq[pos], 1 + total);
1693 isl_int_sub_ui(bmap->ineq[pos][0], bmap->ineq[pos][0], 1);
1694 ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
1698 struct isl_set *isl_set_alloc_dim(struct isl_dim *dim, int n, unsigned flags)
1700 struct isl_set *set;
1704 isl_assert(dim->ctx, dim->n_in == 0, return NULL);
1705 isl_assert(dim->ctx, n >= 0, return NULL);
1706 set = isl_alloc(dim->ctx, struct isl_set,
1707 sizeof(struct isl_set) +
1708 (n - 1) * sizeof(struct isl_basic_set *));
1712 set->ctx = dim->ctx;
1713 isl_ctx_ref(set->ctx);
1725 struct isl_set *isl_set_alloc(struct isl_ctx *ctx,
1726 unsigned nparam, unsigned dim, int n, unsigned flags)
1728 struct isl_set *set;
1729 struct isl_dim *dims;
1731 dims = isl_dim_alloc(ctx, nparam, 0, dim);
1735 set = isl_set_alloc_dim(dims, n, flags);
1739 /* Make sure "map" has room for at least "n" more basic maps.
1741 struct isl_map *isl_map_grow(struct isl_map *map, int n)
1744 struct isl_map *grown = NULL;
1748 isl_assert(map->ctx, n >= 0, goto error);
1749 if (map->n + n <= map->size)
1751 grown = isl_map_alloc_dim(isl_map_get_dim(map), map->n + n, map->flags);
1754 for (i = 0; i < map->n; ++i) {
1755 grown->p[i] = isl_basic_map_copy(map->p[i]);
1763 isl_map_free(grown);
1768 /* Make sure "set" has room for at least "n" more basic sets.
1770 struct isl_set *isl_set_grow(struct isl_set *set, int n)
1772 return (struct isl_set *)isl_map_grow((struct isl_map *)set, n);
1775 struct isl_set *isl_set_dup(struct isl_set *set)
1778 struct isl_set *dup;
1783 dup = isl_set_alloc_dim(isl_dim_copy(set->dim), set->n, set->flags);
1786 for (i = 0; i < set->n; ++i)
1787 dup = isl_set_add_basic_set(dup, isl_basic_set_copy(set->p[i]));
1791 struct isl_set *isl_set_from_basic_set(struct isl_basic_set *bset)
1793 struct isl_set *set;
1798 set = isl_set_alloc_dim(isl_dim_copy(bset->dim), 1, ISL_MAP_DISJOINT);
1800 isl_basic_set_free(bset);
1803 return isl_set_add_basic_set(set, bset);
1806 struct isl_map *isl_map_from_basic_map(struct isl_basic_map *bmap)
1808 struct isl_map *map;
1813 map = isl_map_alloc_dim(isl_dim_copy(bmap->dim), 1, ISL_MAP_DISJOINT);
1815 isl_basic_map_free(bmap);
1818 return isl_map_add_basic_map(map, bmap);
1821 __isl_give isl_set *isl_set_add_basic_set(__isl_take isl_set *set,
1822 __isl_take isl_basic_set *bset)
1824 return (struct isl_set *)isl_map_add_basic_map((struct isl_map *)set,
1825 (struct isl_basic_map *)bset);
1828 void isl_set_free(struct isl_set *set)
1838 isl_ctx_deref(set->ctx);
1839 for (i = 0; i < set->n; ++i)
1840 isl_basic_set_free(set->p[i]);
1841 isl_dim_free(set->dim);
1845 void isl_set_dump(struct isl_set *set, FILE *out, int indent)
1850 fprintf(out, "null set\n");
1854 fprintf(out, "%*s", indent, "");
1855 fprintf(out, "ref: %d, n: %d, nparam: %d, dim: %d, flags: %x\n",
1856 set->ref, set->n, set->dim->nparam, set->dim->n_out,
1858 for (i = 0; i < set->n; ++i) {
1859 fprintf(out, "%*s", indent, "");
1860 fprintf(out, "basic set %d:\n", i);
1861 isl_basic_set_dump(set->p[i], out, indent+4);
1865 void isl_map_dump(struct isl_map *map, FILE *out, int indent)
1870 fprintf(out, "null map\n");
1874 fprintf(out, "%*s", indent, "");
1875 fprintf(out, "ref: %d, n: %d, nparam: %d, in: %d, out: %d, "
1876 "flags: %x, n_name: %d\n",
1877 map->ref, map->n, map->dim->nparam, map->dim->n_in,
1878 map->dim->n_out, map->flags, map->dim->n_name);
1879 for (i = 0; i < map->n; ++i) {
1880 fprintf(out, "%*s", indent, "");
1881 fprintf(out, "basic map %d:\n", i);
1882 isl_basic_map_dump(map->p[i], out, indent+4);
1886 struct isl_basic_map *isl_basic_map_intersect_domain(
1887 struct isl_basic_map *bmap, struct isl_basic_set *bset)
1889 struct isl_basic_map *bmap_domain;
1890 struct isl_dim *dim;
1895 isl_assert(bset->ctx, isl_dim_match(bmap->dim, isl_dim_param,
1896 bset->dim, isl_dim_param), goto error);
1898 if (isl_dim_size(bset->dim, isl_dim_set) != 0)
1899 isl_assert(bset->ctx,
1900 isl_basic_map_compatible_domain(bmap, bset), goto error);
1902 bmap = isl_basic_map_cow(bmap);
1905 bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
1906 bset->n_div, bset->n_eq, bset->n_ineq);
1907 dim = isl_dim_reverse(isl_dim_copy(bset->dim));
1908 bmap_domain = isl_basic_map_from_basic_set(bset, dim);
1909 bmap = add_constraints(bmap, bmap_domain, 0, 0);
1911 bmap = isl_basic_map_simplify(bmap);
1912 return isl_basic_map_finalize(bmap);
1914 isl_basic_map_free(bmap);
1915 isl_basic_set_free(bset);
1919 struct isl_basic_map *isl_basic_map_intersect_range(
1920 struct isl_basic_map *bmap, struct isl_basic_set *bset)
1922 struct isl_basic_map *bmap_range;
1927 isl_assert(bset->ctx, isl_dim_match(bmap->dim, isl_dim_param,
1928 bset->dim, isl_dim_param), goto error);
1930 if (isl_dim_size(bset->dim, isl_dim_set) != 0)
1931 isl_assert(bset->ctx,
1932 isl_basic_map_compatible_range(bmap, bset), goto error);
1934 bmap = isl_basic_map_cow(bmap);
1937 bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
1938 bset->n_div, bset->n_eq, bset->n_ineq);
1939 bmap_range = isl_basic_map_from_basic_set(bset, isl_dim_copy(bset->dim));
1940 bmap = add_constraints(bmap, bmap_range, 0, 0);
1942 bmap = isl_basic_map_simplify(bmap);
1943 return isl_basic_map_finalize(bmap);
1945 isl_basic_map_free(bmap);
1946 isl_basic_set_free(bset);
1950 int isl_basic_map_contains(struct isl_basic_map *bmap, struct isl_vec *vec)
1956 total = 1 + isl_basic_map_total_dim(bmap);
1957 if (total != vec->size)
1962 for (i = 0; i < bmap->n_eq; ++i) {
1963 isl_seq_inner_product(vec->el, bmap->eq[i], total, &s);
1964 if (!isl_int_is_zero(s)) {
1970 for (i = 0; i < bmap->n_ineq; ++i) {
1971 isl_seq_inner_product(vec->el, bmap->ineq[i], total, &s);
1972 if (isl_int_is_neg(s)) {
1983 int isl_basic_set_contains(struct isl_basic_set *bset, struct isl_vec *vec)
1985 return isl_basic_map_contains((struct isl_basic_map *)bset, vec);
1988 struct isl_basic_map *isl_basic_map_intersect(
1989 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
1991 struct isl_vec *sample = NULL;
1993 if (!bmap1 || !bmap2)
1996 isl_assert(bmap1->ctx, isl_dim_match(bmap1->dim, isl_dim_param,
1997 bmap2->dim, isl_dim_param), goto error);
1998 if (isl_dim_total(bmap1->dim) ==
1999 isl_dim_size(bmap1->dim, isl_dim_param) &&
2000 isl_dim_total(bmap2->dim) !=
2001 isl_dim_size(bmap2->dim, isl_dim_param))
2002 return isl_basic_map_intersect(bmap2, bmap1);
2004 if (isl_dim_total(bmap2->dim) !=
2005 isl_dim_size(bmap2->dim, isl_dim_param))
2006 isl_assert(bmap1->ctx,
2007 isl_dim_equal(bmap1->dim, bmap2->dim), goto error);
2009 if (bmap1->sample &&
2010 isl_basic_map_contains(bmap1, bmap1->sample) > 0 &&
2011 isl_basic_map_contains(bmap2, bmap1->sample) > 0)
2012 sample = isl_vec_copy(bmap1->sample);
2013 else if (bmap2->sample &&
2014 isl_basic_map_contains(bmap1, bmap2->sample) > 0 &&
2015 isl_basic_map_contains(bmap2, bmap2->sample) > 0)
2016 sample = isl_vec_copy(bmap2->sample);
2018 bmap1 = isl_basic_map_cow(bmap1);
2021 bmap1 = isl_basic_map_extend_dim(bmap1, isl_dim_copy(bmap1->dim),
2022 bmap2->n_div, bmap2->n_eq, bmap2->n_ineq);
2023 bmap1 = add_constraints(bmap1, bmap2, 0, 0);
2026 isl_vec_free(sample);
2028 isl_vec_free(bmap1->sample);
2029 bmap1->sample = sample;
2032 bmap1 = isl_basic_map_simplify(bmap1);
2033 return isl_basic_map_finalize(bmap1);
2036 isl_vec_free(sample);
2037 isl_basic_map_free(bmap1);
2038 isl_basic_map_free(bmap2);
2042 struct isl_basic_set *isl_basic_set_intersect(
2043 struct isl_basic_set *bset1, struct isl_basic_set *bset2)
2045 return (struct isl_basic_set *)
2046 isl_basic_map_intersect(
2047 (struct isl_basic_map *)bset1,
2048 (struct isl_basic_map *)bset2);
2051 /* Special case of isl_map_intersect, where both map1 and map2
2052 * are convex, without any divs and such that either map1 or map2
2053 * contains a single constraint. This constraint is then simply
2054 * added to the other map.
2056 static __isl_give isl_map *map_intersect_add_constraint(
2057 __isl_take isl_map *map1, __isl_take isl_map *map2)
2059 struct isl_basic_map *bmap1;
2060 struct isl_basic_map *bmap2;
2062 isl_assert(map1->ctx, map1->n == 1, goto error);
2063 isl_assert(map2->ctx, map1->n == 1, goto error);
2064 isl_assert(map1->ctx, map1->p[0]->n_div == 0, goto error);
2065 isl_assert(map2->ctx, map1->p[0]->n_div == 0, goto error);
2067 if (map2->p[0]->n_eq + map2->p[0]->n_ineq != 1)
2068 return isl_map_intersect(map2, map1);
2070 isl_assert(map2->ctx,
2071 map2->p[0]->n_eq + map2->p[0]->n_ineq == 1, goto error);
2073 map1 = isl_map_cow(map1);
2076 if (isl_map_fast_is_empty(map1)) {
2080 map1->p[0] = isl_basic_map_cow(map1->p[0]);
2081 if (map2->p[0]->n_eq == 1)
2082 map1->p[0] = isl_basic_map_add_eq(map1->p[0], map2->p[0]->eq[0]);
2084 map1->p[0] = isl_basic_map_add_ineq(map1->p[0],
2085 map2->p[0]->ineq[0]);
2087 map1->p[0] = isl_basic_map_simplify(map1->p[0]);
2088 map1->p[0] = isl_basic_map_finalize(map1->p[0]);
2092 if (isl_basic_map_fast_is_empty(map1->p[0])) {
2093 isl_basic_map_free(map1->p[0]);
2106 struct isl_map *isl_map_intersect(struct isl_map *map1, struct isl_map *map2)
2109 struct isl_map *result;
2115 if (isl_map_fast_is_empty(map1)) {
2119 if (isl_map_fast_is_empty(map2)) {
2124 if (map1->n == 1 && map2->n == 1 &&
2125 map1->p[0]->n_div == 0 && map2->p[0]->n_div == 0 &&
2126 isl_dim_equal(map1->dim, map2->dim) &&
2127 (map1->p[0]->n_eq + map1->p[0]->n_ineq == 1 ||
2128 map2->p[0]->n_eq + map2->p[0]->n_ineq == 1))
2129 return map_intersect_add_constraint(map1, map2);
2130 isl_assert(map1->ctx, isl_dim_match(map1->dim, isl_dim_param,
2131 map2->dim, isl_dim_param), goto error);
2132 if (isl_dim_total(map1->dim) ==
2133 isl_dim_size(map1->dim, isl_dim_param) &&
2134 isl_dim_total(map2->dim) != isl_dim_size(map2->dim, isl_dim_param))
2135 return isl_map_intersect(map2, map1);
2137 if (isl_dim_total(map2->dim) != isl_dim_size(map2->dim, isl_dim_param))
2138 isl_assert(map1->ctx,
2139 isl_dim_equal(map1->dim, map2->dim), goto error);
2141 if (ISL_F_ISSET(map1, ISL_MAP_DISJOINT) &&
2142 ISL_F_ISSET(map2, ISL_MAP_DISJOINT))
2143 ISL_FL_SET(flags, ISL_MAP_DISJOINT);
2145 result = isl_map_alloc_dim(isl_dim_copy(map1->dim),
2146 map1->n * map2->n, flags);
2149 for (i = 0; i < map1->n; ++i)
2150 for (j = 0; j < map2->n; ++j) {
2151 struct isl_basic_map *part;
2152 part = isl_basic_map_intersect(
2153 isl_basic_map_copy(map1->p[i]),
2154 isl_basic_map_copy(map2->p[j]));
2155 if (isl_basic_map_is_empty(part))
2156 isl_basic_map_free(part);
2158 result = isl_map_add_basic_map(result, part);
2171 struct isl_set *isl_set_intersect(struct isl_set *set1, struct isl_set *set2)
2173 return (struct isl_set *)
2174 isl_map_intersect((struct isl_map *)set1,
2175 (struct isl_map *)set2);
2178 struct isl_basic_map *isl_basic_map_reverse(struct isl_basic_map *bmap)
2180 struct isl_dim *dim;
2181 struct isl_basic_set *bset;
2186 bmap = isl_basic_map_cow(bmap);
2189 dim = isl_dim_reverse(isl_dim_copy(bmap->dim));
2190 in = isl_basic_map_n_in(bmap);
2191 bset = isl_basic_set_from_basic_map(bmap);
2192 bset = isl_basic_set_swap_vars(bset, in);
2193 return isl_basic_map_from_basic_set(bset, dim);
2196 __isl_give isl_basic_map *isl_basic_map_insert(__isl_take isl_basic_map *bmap,
2197 enum isl_dim_type type, unsigned pos, unsigned n)
2199 struct isl_dim *res_dim;
2200 struct isl_basic_map *res;
2201 struct isl_dim_map *dim_map;
2202 unsigned total, off;
2203 enum isl_dim_type t;
2211 res_dim = isl_dim_insert(isl_basic_map_get_dim(bmap), type, pos, n);
2213 total = isl_basic_map_total_dim(bmap) + n;
2214 dim_map = isl_dim_map_alloc(bmap->ctx, total);
2216 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
2218 isl_dim_map_dim(dim_map, bmap->dim, t, off);
2220 unsigned size = isl_basic_map_dim(bmap, t);
2221 isl_dim_map_dim_range(dim_map, bmap->dim, t,
2223 isl_dim_map_dim_range(dim_map, bmap->dim, t,
2224 pos, size - pos, off + pos + n);
2226 off += isl_dim_size(res_dim, t);
2228 isl_dim_map_div(dim_map, bmap, off);
2230 res = isl_basic_map_alloc_dim(res_dim,
2231 bmap->n_div, bmap->n_eq, bmap->n_ineq);
2232 res = add_constraints_dim_map(res, bmap, dim_map);
2233 res = isl_basic_map_simplify(res);
2234 return isl_basic_map_finalize(res);
2237 __isl_give isl_basic_map *isl_basic_map_add(__isl_take isl_basic_map *bmap,
2238 enum isl_dim_type type, unsigned n)
2242 return isl_basic_map_insert(bmap, type,
2243 isl_basic_map_dim(bmap, type), n);
2246 __isl_give isl_basic_set *isl_basic_set_add(__isl_take isl_basic_set *bset,
2247 enum isl_dim_type type, unsigned n)
2251 isl_assert(bset->ctx, type != isl_dim_in, goto error);
2252 return (isl_basic_set *)isl_basic_map_add((isl_basic_map *)bset, type, n);
2254 isl_basic_set_free(bset);
2258 __isl_give isl_map *isl_map_insert(__isl_take isl_map *map,
2259 enum isl_dim_type type, unsigned pos, unsigned n)
2266 map = isl_map_cow(map);
2270 map->dim = isl_dim_insert(map->dim, type, pos, n);
2274 for (i = 0; i < map->n; ++i) {
2275 map->p[i] = isl_basic_map_insert(map->p[i], type, pos, n);
2286 __isl_give isl_set *isl_set_insert(__isl_take isl_set *set,
2287 enum isl_dim_type type, unsigned pos, unsigned n)
2289 return (isl_set *)isl_map_insert((isl_map *)set, type, pos, n);
2292 __isl_give isl_map *isl_map_add_dims(__isl_take isl_map *map,
2293 enum isl_dim_type type, unsigned n)
2297 return isl_map_insert(map, type, isl_map_dim(map, type), n);
2300 __isl_give isl_set *isl_set_add_dims(__isl_take isl_set *set,
2301 enum isl_dim_type type, unsigned n)
2305 isl_assert(set->ctx, type != isl_dim_in, goto error);
2306 return (isl_set *)isl_map_add_dims((isl_map *)set, type, n);
2312 __isl_give isl_basic_map *isl_basic_map_move_dims(
2313 __isl_take isl_basic_map *bmap,
2314 enum isl_dim_type dst_type, unsigned dst_pos,
2315 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
2318 struct isl_dim_map *dim_map;
2319 struct isl_basic_map *res;
2320 enum isl_dim_type t;
2321 unsigned total, off;
2328 isl_assert(bmap->ctx, src_pos + n <= isl_basic_map_dim(bmap, src_type),
2331 if (dst_type == src_type && dst_pos == src_pos)
2334 isl_assert(bmap->ctx, dst_type != src_type, goto error);
2336 if (pos(bmap->dim, dst_type) + dst_pos ==
2337 pos(bmap->dim, src_type) + src_pos +
2338 ((src_type < dst_type) ? n : 0)) {
2339 bmap = isl_basic_map_cow(bmap);
2343 bmap->dim = isl_dim_move(bmap->dim, dst_type, dst_pos,
2344 src_type, src_pos, n);
2348 bmap = isl_basic_map_finalize(bmap);
2353 total = isl_basic_map_total_dim(bmap);
2354 dim_map = isl_dim_map_alloc(bmap->ctx, total);
2357 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
2358 unsigned size = isl_dim_size(bmap->dim, t);
2359 if (t == dst_type) {
2360 isl_dim_map_dim_range(dim_map, bmap->dim, t,
2363 isl_dim_map_dim_range(dim_map, bmap->dim, src_type,
2366 isl_dim_map_dim_range(dim_map, bmap->dim, t,
2367 dst_pos, size - dst_pos, off);
2368 off += size - dst_pos;
2369 } else if (t == src_type) {
2370 isl_dim_map_dim_range(dim_map, bmap->dim, t,
2373 isl_dim_map_dim_range(dim_map, bmap->dim, t,
2374 src_pos + n, size - src_pos - n, off);
2375 off += size - src_pos - n;
2377 isl_dim_map_dim(dim_map, bmap->dim, t, off);
2381 isl_dim_map_div(dim_map, bmap, off);
2383 res = isl_basic_map_alloc_dim(isl_basic_map_get_dim(bmap),
2384 bmap->n_div, bmap->n_eq, bmap->n_ineq);
2385 bmap = add_constraints_dim_map(res, bmap, dim_map);
2387 bmap->dim = isl_dim_move(bmap->dim, dst_type, dst_pos,
2388 src_type, src_pos, n);
2392 ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
2393 bmap = isl_basic_map_gauss(bmap, NULL);
2394 bmap = isl_basic_map_finalize(bmap);
2398 isl_basic_map_free(bmap);
2402 __isl_give isl_basic_set *isl_basic_set_move_dims(__isl_take isl_basic_set *bset,
2403 enum isl_dim_type dst_type, unsigned dst_pos,
2404 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
2406 return (isl_basic_set *)isl_basic_map_move_dims(
2407 (isl_basic_map *)bset, dst_type, dst_pos, src_type, src_pos, n);
2410 __isl_give isl_set *isl_set_move_dims(__isl_take isl_set *set,
2411 enum isl_dim_type dst_type, unsigned dst_pos,
2412 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
2416 isl_assert(set->ctx, dst_type != isl_dim_in, goto error);
2417 return (isl_set *)isl_map_move_dims((isl_map *)set, dst_type, dst_pos,
2418 src_type, src_pos, n);
2424 __isl_give isl_map *isl_map_move_dims(__isl_take isl_map *map,
2425 enum isl_dim_type dst_type, unsigned dst_pos,
2426 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
2435 isl_assert(map->ctx, src_pos + n <= isl_map_dim(map, src_type),
2438 if (dst_type == src_type && dst_pos == src_pos)
2441 isl_assert(map->ctx, dst_type != src_type, goto error);
2443 map = isl_map_cow(map);
2447 map->dim = isl_dim_move(map->dim, dst_type, dst_pos, src_type, src_pos, n);
2451 for (i = 0; i < map->n; ++i) {
2452 map->p[i] = isl_basic_map_move_dims(map->p[i],
2454 src_type, src_pos, n);
2465 /* Move the specified dimensions to the last columns right before
2466 * the divs. Don't change the dimension specification of bmap.
2467 * That's the responsibility of the caller.
2469 static __isl_give isl_basic_map *move_last(__isl_take isl_basic_map *bmap,
2470 enum isl_dim_type type, unsigned first, unsigned n)
2472 struct isl_dim_map *dim_map;
2473 struct isl_basic_map *res;
2474 enum isl_dim_type t;
2475 unsigned total, off;
2479 if (pos(bmap->dim, type) + first + n == 1 + isl_dim_total(bmap->dim))
2482 total = isl_basic_map_total_dim(bmap);
2483 dim_map = isl_dim_map_alloc(bmap->ctx, total);
2486 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
2487 unsigned size = isl_dim_size(bmap->dim, t);
2489 isl_dim_map_dim_range(dim_map, bmap->dim, t,
2492 isl_dim_map_dim_range(dim_map, bmap->dim, t,
2493 first, n, total - bmap->n_div - n);
2494 isl_dim_map_dim_range(dim_map, bmap->dim, t,
2495 first + n, size - (first + n), off);
2496 off += size - (first + n);
2498 isl_dim_map_dim(dim_map, bmap->dim, t, off);
2502 isl_dim_map_div(dim_map, bmap, off + n);
2504 res = isl_basic_map_alloc_dim(isl_basic_map_get_dim(bmap),
2505 bmap->n_div, bmap->n_eq, bmap->n_ineq);
2506 res = add_constraints_dim_map(res, bmap, dim_map);
2510 /* Turn the n dimensions of type type, starting at first
2511 * into existentially quantified variables.
2513 __isl_give isl_basic_map *isl_basic_map_project_out(
2514 __isl_take isl_basic_map *bmap,
2515 enum isl_dim_type type, unsigned first, unsigned n)
2528 if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL))
2529 return isl_basic_map_remove(bmap, type, first, n);
2531 isl_assert(bmap->ctx, first + n <= isl_basic_map_dim(bmap, type),
2534 bmap = move_last(bmap, type, first, n);
2535 bmap = isl_basic_map_cow(bmap);
2539 row_size = 1 + isl_dim_total(bmap->dim) + bmap->extra;
2540 old = bmap->block2.data;
2541 bmap->block2 = isl_blk_extend(bmap->ctx, bmap->block2,
2542 (bmap->extra + n) * (1 + row_size));
2543 if (!bmap->block2.data)
2545 new_div = isl_alloc_array(bmap->ctx, isl_int *, bmap->extra + n);
2548 for (i = 0; i < n; ++i) {
2549 new_div[i] = bmap->block2.data +
2550 (bmap->extra + i) * (1 + row_size);
2551 isl_seq_clr(new_div[i], 1 + row_size);
2553 for (i = 0; i < bmap->extra; ++i)
2554 new_div[n + i] = bmap->block2.data + (bmap->div[i] - old);
2556 bmap->div = new_div;
2560 bmap->dim = isl_dim_drop(bmap->dim, type, first, n);
2563 bmap = isl_basic_map_simplify(bmap);
2564 bmap = isl_basic_map_drop_redundant_divs(bmap);
2565 return isl_basic_map_finalize(bmap);
2567 isl_basic_map_free(bmap);
2571 /* Turn the n dimensions of type type, starting at first
2572 * into existentially quantified variables.
2574 struct isl_basic_set *isl_basic_set_project_out(struct isl_basic_set *bset,
2575 enum isl_dim_type type, unsigned first, unsigned n)
2577 return (isl_basic_set *)isl_basic_map_project_out(
2578 (isl_basic_map *)bset, type, first, n);
2581 /* Turn the n dimensions of type type, starting at first
2582 * into existentially quantified variables.
2584 __isl_give isl_map *isl_map_project_out(__isl_take isl_map *map,
2585 enum isl_dim_type type, unsigned first, unsigned n)
2595 isl_assert(map->ctx, first + n <= isl_map_dim(map, type), goto error);
2597 map = isl_map_cow(map);
2601 map->dim = isl_dim_drop(map->dim, type, first, n);
2605 for (i = 0; i < map->n; ++i) {
2606 map->p[i] = isl_basic_map_project_out(map->p[i], type, first, n);
2617 /* Turn the n dimensions of type type, starting at first
2618 * into existentially quantified variables.
2620 __isl_give isl_set *isl_set_project_out(__isl_take isl_set *set,
2621 enum isl_dim_type type, unsigned first, unsigned n)
2623 return (isl_set *)isl_map_project_out((isl_map *)set, type, first, n);
2626 static struct isl_basic_map *add_divs(struct isl_basic_map *bmap, unsigned n)
2630 for (i = 0; i < n; ++i) {
2631 j = isl_basic_map_alloc_div(bmap);
2634 isl_seq_clr(bmap->div[j], 1+1+isl_basic_map_total_dim(bmap));
2638 isl_basic_map_free(bmap);
2642 struct isl_basic_map *isl_basic_map_apply_range(
2643 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
2645 struct isl_dim *dim_result = NULL;
2646 struct isl_basic_map *bmap;
2647 unsigned n_in, n_out, n, nparam, total, pos;
2648 struct isl_dim_map *dim_map1, *dim_map2;
2650 if (!bmap1 || !bmap2)
2653 dim_result = isl_dim_join(isl_dim_copy(bmap1->dim),
2654 isl_dim_copy(bmap2->dim));
2656 n_in = isl_basic_map_n_in(bmap1);
2657 n_out = isl_basic_map_n_out(bmap2);
2658 n = isl_basic_map_n_out(bmap1);
2659 nparam = isl_basic_map_n_param(bmap1);
2661 total = nparam + n_in + n_out + bmap1->n_div + bmap2->n_div + n;
2662 dim_map1 = isl_dim_map_alloc(bmap1->ctx, total);
2663 dim_map2 = isl_dim_map_alloc(bmap1->ctx, total);
2664 isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_param, pos = 0);
2665 isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_param, pos = 0);
2666 isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_in, pos += nparam);
2667 isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_out, pos += n_in);
2668 isl_dim_map_div(dim_map1, bmap1, pos += n_out);
2669 isl_dim_map_div(dim_map2, bmap2, pos += bmap1->n_div);
2670 isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_out, pos += bmap2->n_div);
2671 isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_in, pos);
2673 bmap = isl_basic_map_alloc_dim(dim_result,
2674 bmap1->n_div + bmap2->n_div + n,
2675 bmap1->n_eq + bmap2->n_eq,
2676 bmap1->n_ineq + bmap2->n_ineq);
2677 bmap = add_constraints_dim_map(bmap, bmap1, dim_map1);
2678 bmap = add_constraints_dim_map(bmap, bmap2, dim_map2);
2679 bmap = add_divs(bmap, n);
2680 bmap = isl_basic_map_simplify(bmap);
2681 bmap = isl_basic_map_drop_redundant_divs(bmap);
2682 return isl_basic_map_finalize(bmap);
2684 isl_basic_map_free(bmap1);
2685 isl_basic_map_free(bmap2);
2689 struct isl_basic_set *isl_basic_set_apply(
2690 struct isl_basic_set *bset, struct isl_basic_map *bmap)
2695 isl_assert(bset->ctx, isl_basic_map_compatible_domain(bmap, bset),
2698 return (struct isl_basic_set *)
2699 isl_basic_map_apply_range((struct isl_basic_map *)bset, bmap);
2701 isl_basic_set_free(bset);
2702 isl_basic_map_free(bmap);
2706 struct isl_basic_map *isl_basic_map_apply_domain(
2707 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
2709 if (!bmap1 || !bmap2)
2712 isl_assert(bmap1->ctx,
2713 isl_basic_map_n_in(bmap1) == isl_basic_map_n_in(bmap2), goto error);
2714 isl_assert(bmap1->ctx,
2715 isl_basic_map_n_param(bmap1) == isl_basic_map_n_param(bmap2),
2718 bmap1 = isl_basic_map_reverse(bmap1);
2719 bmap1 = isl_basic_map_apply_range(bmap1, bmap2);
2720 return isl_basic_map_reverse(bmap1);
2722 isl_basic_map_free(bmap1);
2723 isl_basic_map_free(bmap2);
2727 /* Given two basic maps A -> f(A) and B -> g(B), construct a basic map
2728 * A \cap B -> f(A) + f(B)
2730 struct isl_basic_map *isl_basic_map_sum(
2731 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
2733 unsigned n_in, n_out, nparam, total, pos;
2734 struct isl_basic_map *bmap = NULL;
2735 struct isl_dim_map *dim_map1, *dim_map2;
2738 if (!bmap1 || !bmap2)
2741 isl_assert(bmap1->ctx, isl_dim_equal(bmap1->dim, bmap2->dim),
2744 nparam = isl_basic_map_n_param(bmap1);
2745 n_in = isl_basic_map_n_in(bmap1);
2746 n_out = isl_basic_map_n_out(bmap1);
2748 total = nparam + n_in + n_out + bmap1->n_div + bmap2->n_div + 2 * n_out;
2749 dim_map1 = isl_dim_map_alloc(bmap1->ctx, total);
2750 dim_map2 = isl_dim_map_alloc(bmap2->ctx, total);
2751 isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_param, pos = 0);
2752 isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_param, pos);
2753 isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_in, pos += nparam);
2754 isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_in, pos);
2755 isl_dim_map_div(dim_map1, bmap1, pos += n_in + n_out);
2756 isl_dim_map_div(dim_map2, bmap2, pos += bmap1->n_div);
2757 isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_out, pos += bmap2->n_div);
2758 isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_out, pos += n_out);
2760 bmap = isl_basic_map_alloc_dim(isl_dim_copy(bmap1->dim),
2761 bmap1->n_div + bmap2->n_div + 2 * n_out,
2762 bmap1->n_eq + bmap2->n_eq + n_out,
2763 bmap1->n_ineq + bmap2->n_ineq);
2764 for (i = 0; i < n_out; ++i) {
2765 int j = isl_basic_map_alloc_equality(bmap);
2768 isl_seq_clr(bmap->eq[j], 1+total);
2769 isl_int_set_si(bmap->eq[j][1+nparam+n_in+i], -1);
2770 isl_int_set_si(bmap->eq[j][1+pos+i], 1);
2771 isl_int_set_si(bmap->eq[j][1+pos-n_out+i], 1);
2773 bmap = add_constraints_dim_map(bmap, bmap1, dim_map1);
2774 bmap = add_constraints_dim_map(bmap, bmap2, dim_map2);
2775 bmap = add_divs(bmap, 2 * n_out);
2777 bmap = isl_basic_map_simplify(bmap);
2778 return isl_basic_map_finalize(bmap);
2780 isl_basic_map_free(bmap);
2781 isl_basic_map_free(bmap1);
2782 isl_basic_map_free(bmap2);
2786 /* Given two maps A -> f(A) and B -> g(B), construct a map
2787 * A \cap B -> f(A) + f(B)
2789 struct isl_map *isl_map_sum(struct isl_map *map1, struct isl_map *map2)
2791 struct isl_map *result;
2797 isl_assert(map1->ctx, isl_dim_equal(map1->dim, map2->dim), goto error);
2799 result = isl_map_alloc_dim(isl_dim_copy(map1->dim),
2800 map1->n * map2->n, 0);
2803 for (i = 0; i < map1->n; ++i)
2804 for (j = 0; j < map2->n; ++j) {
2805 struct isl_basic_map *part;
2806 part = isl_basic_map_sum(
2807 isl_basic_map_copy(map1->p[i]),
2808 isl_basic_map_copy(map2->p[j]));
2809 if (isl_basic_map_is_empty(part))
2810 isl_basic_map_free(part);
2812 result = isl_map_add_basic_map(result, part);
2825 __isl_give isl_set *isl_set_sum(__isl_take isl_set *set1,
2826 __isl_take isl_set *set2)
2828 return (isl_set *)isl_map_sum((isl_map *)set1, (isl_map *)set2);
2831 /* Given a basic map A -> f(A), construct A -> -f(A).
2833 struct isl_basic_map *isl_basic_map_neg(struct isl_basic_map *bmap)
2838 bmap = isl_basic_map_cow(bmap);
2842 n = isl_basic_map_dim(bmap, isl_dim_out);
2843 off = isl_basic_map_offset(bmap, isl_dim_out);
2844 for (i = 0; i < bmap->n_eq; ++i)
2845 for (j = 0; j < n; ++j)
2846 isl_int_neg(bmap->eq[i][off+j], bmap->eq[i][off+j]);
2847 for (i = 0; i < bmap->n_ineq; ++i)
2848 for (j = 0; j < n; ++j)
2849 isl_int_neg(bmap->ineq[i][off+j], bmap->ineq[i][off+j]);
2850 for (i = 0; i < bmap->n_div; ++i)
2851 for (j = 0; j < n; ++j)
2852 isl_int_neg(bmap->div[i][1+off+j], bmap->div[i][1+off+j]);
2853 return isl_basic_map_finalize(bmap);
2856 /* Given a map A -> f(A), construct A -> -f(A).
2858 struct isl_map *isl_map_neg(struct isl_map *map)
2862 map = isl_map_cow(map);
2866 for (i = 0; i < map->n; ++i) {
2867 map->p[i] = isl_basic_map_neg(map->p[i]);
2878 __isl_give isl_set *isl_set_neg(__isl_take isl_set *set)
2880 return (isl_set *)isl_map_neg((isl_map *)set);
2883 /* Given a basic map A -> f(A) and an integer d, construct a basic map
2884 * A -> floor(f(A)/d).
2886 struct isl_basic_map *isl_basic_map_floordiv(struct isl_basic_map *bmap,
2889 unsigned n_in, n_out, nparam, total, pos;
2890 struct isl_basic_map *result = NULL;
2891 struct isl_dim_map *dim_map;
2897 nparam = isl_basic_map_n_param(bmap);
2898 n_in = isl_basic_map_n_in(bmap);
2899 n_out = isl_basic_map_n_out(bmap);
2901 total = nparam + n_in + n_out + bmap->n_div + n_out;
2902 dim_map = isl_dim_map_alloc(bmap->ctx, total);
2903 isl_dim_map_dim(dim_map, bmap->dim, isl_dim_param, pos = 0);
2904 isl_dim_map_dim(dim_map, bmap->dim, isl_dim_in, pos += nparam);
2905 isl_dim_map_div(dim_map, bmap, pos += n_in + n_out);
2906 isl_dim_map_dim(dim_map, bmap->dim, isl_dim_out, pos += bmap->n_div);
2908 result = isl_basic_map_alloc_dim(isl_dim_copy(bmap->dim),
2909 bmap->n_div + n_out,
2910 bmap->n_eq, bmap->n_ineq + 2 * n_out);
2911 result = add_constraints_dim_map(result, bmap, dim_map);
2912 result = add_divs(result, n_out);
2913 for (i = 0; i < n_out; ++i) {
2915 j = isl_basic_map_alloc_inequality(result);
2918 isl_seq_clr(result->ineq[j], 1+total);
2919 isl_int_neg(result->ineq[j][1+nparam+n_in+i], d);
2920 isl_int_set_si(result->ineq[j][1+pos+i], 1);
2921 j = isl_basic_map_alloc_inequality(result);
2924 isl_seq_clr(result->ineq[j], 1+total);
2925 isl_int_set(result->ineq[j][1+nparam+n_in+i], d);
2926 isl_int_set_si(result->ineq[j][1+pos+i], -1);
2927 isl_int_sub_ui(result->ineq[j][0], d, 1);
2930 result = isl_basic_map_simplify(result);
2931 return isl_basic_map_finalize(result);
2933 isl_basic_map_free(result);
2937 /* Given a map A -> f(A) and an integer d, construct a map
2938 * A -> floor(f(A)/d).
2940 struct isl_map *isl_map_floordiv(struct isl_map *map, isl_int d)
2944 map = isl_map_cow(map);
2948 ISL_F_CLR(map, ISL_MAP_DISJOINT);
2949 ISL_F_CLR(map, ISL_MAP_NORMALIZED);
2950 for (i = 0; i < map->n; ++i) {
2951 map->p[i] = isl_basic_map_floordiv(map->p[i], d);
2962 static struct isl_basic_map *var_equal(struct isl_basic_map *bmap, unsigned pos)
2968 i = isl_basic_map_alloc_equality(bmap);
2971 nparam = isl_basic_map_n_param(bmap);
2972 n_in = isl_basic_map_n_in(bmap);
2973 isl_seq_clr(bmap->eq[i], 1 + isl_basic_map_total_dim(bmap));
2974 isl_int_set_si(bmap->eq[i][1+nparam+pos], -1);
2975 isl_int_set_si(bmap->eq[i][1+nparam+n_in+pos], 1);
2976 return isl_basic_map_finalize(bmap);
2978 isl_basic_map_free(bmap);
2982 /* Add a constraints to "bmap" expressing i_pos < o_pos
2984 static struct isl_basic_map *var_less(struct isl_basic_map *bmap, unsigned pos)
2990 i = isl_basic_map_alloc_inequality(bmap);
2993 nparam = isl_basic_map_n_param(bmap);
2994 n_in = isl_basic_map_n_in(bmap);
2995 isl_seq_clr(bmap->ineq[i], 1 + isl_basic_map_total_dim(bmap));
2996 isl_int_set_si(bmap->ineq[i][0], -1);
2997 isl_int_set_si(bmap->ineq[i][1+nparam+pos], -1);
2998 isl_int_set_si(bmap->ineq[i][1+nparam+n_in+pos], 1);
2999 return isl_basic_map_finalize(bmap);
3001 isl_basic_map_free(bmap);
3005 /* Add a constraint to "bmap" expressing i_pos <= o_pos
3007 static __isl_give isl_basic_map *var_less_or_equal(
3008 __isl_take isl_basic_map *bmap, unsigned pos)
3014 i = isl_basic_map_alloc_inequality(bmap);
3017 nparam = isl_basic_map_n_param(bmap);
3018 n_in = isl_basic_map_n_in(bmap);
3019 isl_seq_clr(bmap->ineq[i], 1 + isl_basic_map_total_dim(bmap));
3020 isl_int_set_si(bmap->ineq[i][1+nparam+pos], -1);
3021 isl_int_set_si(bmap->ineq[i][1+nparam+n_in+pos], 1);
3022 return isl_basic_map_finalize(bmap);
3024 isl_basic_map_free(bmap);
3028 /* Add a constraints to "bmap" expressing i_pos > o_pos
3030 static struct isl_basic_map *var_more(struct isl_basic_map *bmap, unsigned pos)
3036 i = isl_basic_map_alloc_inequality(bmap);
3039 nparam = isl_basic_map_n_param(bmap);
3040 n_in = isl_basic_map_n_in(bmap);
3041 isl_seq_clr(bmap->ineq[i], 1 + isl_basic_map_total_dim(bmap));
3042 isl_int_set_si(bmap->ineq[i][0], -1);
3043 isl_int_set_si(bmap->ineq[i][1+nparam+pos], 1);
3044 isl_int_set_si(bmap->ineq[i][1+nparam+n_in+pos], -1);
3045 return isl_basic_map_finalize(bmap);
3047 isl_basic_map_free(bmap);
3051 /* Add a constraint to "bmap" expressing i_pos >= o_pos
3053 static __isl_give isl_basic_map *var_more_or_equal(
3054 __isl_take isl_basic_map *bmap, unsigned pos)
3060 i = isl_basic_map_alloc_inequality(bmap);
3063 nparam = isl_basic_map_n_param(bmap);
3064 n_in = isl_basic_map_n_in(bmap);
3065 isl_seq_clr(bmap->ineq[i], 1 + isl_basic_map_total_dim(bmap));
3066 isl_int_set_si(bmap->ineq[i][1+nparam+pos], 1);
3067 isl_int_set_si(bmap->ineq[i][1+nparam+n_in+pos], -1);
3068 return isl_basic_map_finalize(bmap);
3070 isl_basic_map_free(bmap);
3074 struct isl_basic_map *isl_basic_map_equal(struct isl_dim *dim, unsigned n_equal)
3077 struct isl_basic_map *bmap;
3078 bmap = isl_basic_map_alloc_dim(dim, 0, n_equal, 0);
3081 for (i = 0; i < n_equal && bmap; ++i)
3082 bmap = var_equal(bmap, i);
3083 return isl_basic_map_finalize(bmap);
3086 /* Return a relation on of dimension "dim" expressing i_[0..pos] << o_[0..pos]
3088 struct isl_basic_map *isl_basic_map_less_at(struct isl_dim *dim, unsigned pos)
3091 struct isl_basic_map *bmap;
3092 bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
3095 for (i = 0; i < pos && bmap; ++i)
3096 bmap = var_equal(bmap, i);
3098 bmap = var_less(bmap, pos);
3099 return isl_basic_map_finalize(bmap);
3102 /* Return a relation on of dimension "dim" expressing i_[0..pos] <<= o_[0..pos]
3104 __isl_give isl_basic_map *isl_basic_map_less_or_equal_at(
3105 __isl_take isl_dim *dim, unsigned pos)
3108 isl_basic_map *bmap;
3110 bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
3111 for (i = 0; i < pos; ++i)
3112 bmap = var_equal(bmap, i);
3113 bmap = var_less_or_equal(bmap, pos);
3114 return isl_basic_map_finalize(bmap);
3117 /* Return a relation on pairs of sets of dimension "dim" expressing i_pos > o_pos
3119 struct isl_basic_map *isl_basic_map_more_at(struct isl_dim *dim, unsigned pos)
3122 struct isl_basic_map *bmap;
3123 bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
3126 for (i = 0; i < pos && bmap; ++i)
3127 bmap = var_equal(bmap, i);
3129 bmap = var_more(bmap, pos);
3130 return isl_basic_map_finalize(bmap);
3133 /* Return a relation on of dimension "dim" expressing i_[0..pos] >>= o_[0..pos]
3135 __isl_give isl_basic_map *isl_basic_map_more_or_equal_at(
3136 __isl_take isl_dim *dim, unsigned pos)
3139 isl_basic_map *bmap;
3141 bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
3142 for (i = 0; i < pos; ++i)
3143 bmap = var_equal(bmap, i);
3144 bmap = var_more_or_equal(bmap, pos);
3145 return isl_basic_map_finalize(bmap);
3148 static __isl_give isl_map *map_lex_lte_first(__isl_take isl_dim *dims,
3149 unsigned n, int equal)
3151 struct isl_map *map;
3154 if (n == 0 && equal)
3155 return isl_map_universe(dims);
3157 map = isl_map_alloc_dim(isl_dim_copy(dims), n, ISL_MAP_DISJOINT);
3159 for (i = 0; i + 1 < n; ++i)
3160 map = isl_map_add_basic_map(map,
3161 isl_basic_map_less_at(isl_dim_copy(dims), i));
3164 map = isl_map_add_basic_map(map,
3165 isl_basic_map_less_or_equal_at(dims, n - 1));
3167 map = isl_map_add_basic_map(map,
3168 isl_basic_map_less_at(dims, n - 1));
3175 static __isl_give isl_map *map_lex_lte(__isl_take isl_dim *dims, int equal)
3179 return map_lex_lte_first(dims, dims->n_out, equal);
3182 __isl_give isl_map *isl_map_lex_lt_first(__isl_take isl_dim *dim, unsigned n)
3184 return map_lex_lte_first(dim, n, 0);
3187 __isl_give isl_map *isl_map_lex_le_first(__isl_take isl_dim *dim, unsigned n)
3189 return map_lex_lte_first(dim, n, 1);
3192 __isl_give isl_map *isl_map_lex_lt(__isl_take isl_dim *set_dim)
3194 return map_lex_lte(isl_dim_map(set_dim), 0);
3197 __isl_give isl_map *isl_map_lex_le(__isl_take isl_dim *set_dim)
3199 return map_lex_lte(isl_dim_map(set_dim), 1);
3202 static __isl_give isl_map *map_lex_gte_first(__isl_take isl_dim *dims,
3203 unsigned n, int equal)
3205 struct isl_map *map;
3208 if (n == 0 && equal)
3209 return isl_map_universe(dims);
3211 map = isl_map_alloc_dim(isl_dim_copy(dims), n, ISL_MAP_DISJOINT);
3213 for (i = 0; i + 1 < n; ++i)
3214 map = isl_map_add_basic_map(map,
3215 isl_basic_map_more_at(isl_dim_copy(dims), i));
3218 map = isl_map_add_basic_map(map,
3219 isl_basic_map_more_or_equal_at(dims, n - 1));
3221 map = isl_map_add_basic_map(map,
3222 isl_basic_map_more_at(dims, n - 1));
3229 static __isl_give isl_map *map_lex_gte(__isl_take isl_dim *dims, int equal)
3233 return map_lex_gte_first(dims, dims->n_out, equal);
3236 __isl_give isl_map *isl_map_lex_gt_first(__isl_take isl_dim *dim, unsigned n)
3238 return map_lex_gte_first(dim, n, 0);
3241 __isl_give isl_map *isl_map_lex_ge_first(__isl_take isl_dim *dim, unsigned n)
3243 return map_lex_gte_first(dim, n, 1);
3246 __isl_give isl_map *isl_map_lex_gt(__isl_take isl_dim *set_dim)
3248 return map_lex_gte(isl_dim_map(set_dim), 0);
3251 __isl_give isl_map *isl_map_lex_ge(__isl_take isl_dim *set_dim)
3253 return map_lex_gte(isl_dim_map(set_dim), 1);
3256 __isl_give isl_map *isl_set_lex_le_set(__isl_take isl_set *set1,
3257 __isl_take isl_set *set2)
3260 map = isl_map_lex_le(isl_set_get_dim(set1));
3261 map = isl_map_intersect_domain(map, set1);
3262 map = isl_map_intersect_range(map, set2);
3266 __isl_give isl_map *isl_set_lex_lt_set(__isl_take isl_set *set1,
3267 __isl_take isl_set *set2)
3270 map = isl_map_lex_lt(isl_set_get_dim(set1));
3271 map = isl_map_intersect_domain(map, set1);
3272 map = isl_map_intersect_range(map, set2);
3276 __isl_give isl_map *isl_set_lex_ge_set(__isl_take isl_set *set1,
3277 __isl_take isl_set *set2)
3280 map = isl_map_lex_ge(isl_set_get_dim(set1));
3281 map = isl_map_intersect_domain(map, set1);
3282 map = isl_map_intersect_range(map, set2);
3286 __isl_give isl_map *isl_set_lex_gt_set(__isl_take isl_set *set1,
3287 __isl_take isl_set *set2)
3290 map = isl_map_lex_gt(isl_set_get_dim(set1));
3291 map = isl_map_intersect_domain(map, set1);
3292 map = isl_map_intersect_range(map, set2);
3296 __isl_give isl_map *isl_map_lex_le_map(__isl_take isl_map *map1,
3297 __isl_take isl_map *map2)
3300 map = isl_map_lex_le(isl_dim_range(isl_map_get_dim(map1)));
3301 map = isl_map_apply_domain(map, isl_map_reverse(map1));
3302 map = isl_map_apply_range(map, isl_map_reverse(map2));
3306 __isl_give isl_map *isl_map_lex_lt_map(__isl_take isl_map *map1,
3307 __isl_take isl_map *map2)
3310 map = isl_map_lex_lt(isl_dim_range(isl_map_get_dim(map1)));
3311 map = isl_map_apply_domain(map, isl_map_reverse(map1));
3312 map = isl_map_apply_range(map, isl_map_reverse(map2));
3316 __isl_give isl_map *isl_map_lex_ge_map(__isl_take isl_map *map1,
3317 __isl_take isl_map *map2)
3320 map = isl_map_lex_ge(isl_dim_range(isl_map_get_dim(map1)));
3321 map = isl_map_apply_domain(map, isl_map_reverse(map1));
3322 map = isl_map_apply_range(map, isl_map_reverse(map2));
3326 __isl_give isl_map *isl_map_lex_gt_map(__isl_take isl_map *map1,
3327 __isl_take isl_map *map2)
3330 map = isl_map_lex_gt(isl_dim_range(isl_map_get_dim(map1)));
3331 map = isl_map_apply_domain(map, isl_map_reverse(map1));
3332 map = isl_map_apply_range(map, isl_map_reverse(map2));
3336 struct isl_basic_map *isl_basic_map_from_basic_set(
3337 struct isl_basic_set *bset, struct isl_dim *dim)
3339 struct isl_basic_map *bmap;
3341 bset = isl_basic_set_cow(bset);
3345 isl_assert(bset->ctx, isl_dim_compatible(bset->dim, dim), goto error);
3346 isl_dim_free(bset->dim);
3347 bmap = (struct isl_basic_map *) bset;
3349 return isl_basic_map_finalize(bmap);
3351 isl_basic_set_free(bset);
3356 struct isl_basic_set *isl_basic_set_from_basic_map(struct isl_basic_map *bmap)
3360 if (bmap->dim->n_in == 0)
3361 return (struct isl_basic_set *)bmap;
3362 bmap = isl_basic_map_cow(bmap);
3365 bmap->dim = isl_dim_as_set_dim(bmap->dim);
3368 bmap = isl_basic_map_finalize(bmap);
3369 return (struct isl_basic_set *)bmap;
3371 isl_basic_map_free(bmap);
3375 /* For a div d = floor(f/m), add the constraints
3378 * -(f-(n-1)) + m d >= 0
3380 * Note that the second constraint is the negation of
3384 int isl_basic_map_add_div_constraints_var(__isl_keep isl_basic_map *bmap,
3385 unsigned pos, isl_int *div)
3388 unsigned total = isl_basic_map_total_dim(bmap);
3390 i = isl_basic_map_alloc_inequality(bmap);
3393 isl_seq_cpy(bmap->ineq[i], div + 1, 1 + total);
3394 isl_int_neg(bmap->ineq[i][1 + pos], div[0]);
3396 j = isl_basic_map_alloc_inequality(bmap);
3399 isl_seq_neg(bmap->ineq[j], bmap->ineq[i], 1 + total);
3400 isl_int_add(bmap->ineq[j][0], bmap->ineq[j][0], bmap->ineq[j][1 + pos]);
3401 isl_int_sub_ui(bmap->ineq[j][0], bmap->ineq[j][0], 1);
3405 int isl_basic_set_add_div_constraints_var(__isl_keep isl_basic_set *bset,
3406 unsigned pos, isl_int *div)
3408 return isl_basic_map_add_div_constraints_var((isl_basic_map *)bset,
3412 int isl_basic_map_add_div_constraints(struct isl_basic_map *bmap, unsigned div)
3414 unsigned total = isl_basic_map_total_dim(bmap);
3415 unsigned div_pos = total - bmap->n_div + div;
3417 return isl_basic_map_add_div_constraints_var(bmap, div_pos,
3421 struct isl_basic_set *isl_basic_map_underlying_set(
3422 struct isl_basic_map *bmap)
3426 if (bmap->dim->nparam == 0 && bmap->dim->n_in == 0 &&
3427 bmap->n_div == 0 && !isl_dim_get_tuple_name(bmap->dim, isl_dim_out))
3428 return (struct isl_basic_set *)bmap;
3429 bmap = isl_basic_map_cow(bmap);
3432 bmap->dim = isl_dim_underlying(bmap->dim, bmap->n_div);
3435 bmap->extra -= bmap->n_div;
3437 bmap = isl_basic_map_finalize(bmap);
3438 return (struct isl_basic_set *)bmap;
3443 __isl_give isl_basic_set *isl_basic_set_underlying_set(
3444 __isl_take isl_basic_set *bset)
3446 return isl_basic_map_underlying_set((isl_basic_map *)bset);
3449 struct isl_basic_map *isl_basic_map_overlying_set(
3450 struct isl_basic_set *bset, struct isl_basic_map *like)
3452 struct isl_basic_map *bmap;
3453 struct isl_ctx *ctx;
3460 isl_assert(ctx, bset->n_div == 0, goto error);
3461 isl_assert(ctx, isl_basic_set_n_param(bset) == 0, goto error);
3462 isl_assert(ctx, bset->dim->n_out == isl_basic_map_total_dim(like),
3464 if (isl_dim_equal(bset->dim, like->dim) && like->n_div == 0) {
3465 isl_basic_map_free(like);
3466 return (struct isl_basic_map *)bset;
3468 bset = isl_basic_set_cow(bset);
3471 total = bset->dim->n_out + bset->extra;
3472 bmap = (struct isl_basic_map *)bset;
3473 isl_dim_free(bmap->dim);
3474 bmap->dim = isl_dim_copy(like->dim);
3477 bmap->n_div = like->n_div;
3478 bmap->extra += like->n_div;
3481 ltotal = total - bmap->extra + like->extra;
3484 bmap->block2 = isl_blk_extend(ctx, bmap->block2,
3485 bmap->extra * (1 + 1 + total));
3486 if (isl_blk_is_error(bmap->block2))
3488 bmap->div = isl_realloc_array(ctx, bmap->div, isl_int *,
3492 for (i = 0; i < bmap->extra; ++i)
3493 bmap->div[i] = bmap->block2.data + i * (1 + 1 + total);
3494 for (i = 0; i < like->n_div; ++i) {
3495 isl_seq_cpy(bmap->div[i], like->div[i], 1 + 1 + ltotal);
3496 isl_seq_clr(bmap->div[i]+1+1+ltotal, total - ltotal);
3498 bmap = isl_basic_map_extend_constraints(bmap,
3499 0, 2 * like->n_div);
3500 for (i = 0; i < like->n_div; ++i) {
3501 if (isl_int_is_zero(bmap->div[i][0]))
3503 if (isl_basic_map_add_div_constraints(bmap, i) < 0)
3507 isl_basic_map_free(like);
3508 bmap = isl_basic_map_simplify(bmap);
3509 bmap = isl_basic_map_finalize(bmap);
3512 isl_basic_map_free(like);
3513 isl_basic_set_free(bset);
3517 struct isl_basic_set *isl_basic_set_from_underlying_set(
3518 struct isl_basic_set *bset, struct isl_basic_set *like)
3520 return (struct isl_basic_set *)
3521 isl_basic_map_overlying_set(bset, (struct isl_basic_map *)like);
3524 struct isl_set *isl_set_from_underlying_set(
3525 struct isl_set *set, struct isl_basic_set *like)
3531 isl_assert(set->ctx, set->dim->n_out == isl_basic_set_total_dim(like),
3533 if (isl_dim_equal(set->dim, like->dim) && like->n_div == 0) {
3534 isl_basic_set_free(like);
3537 set = isl_set_cow(set);
3540 for (i = 0; i < set->n; ++i) {
3541 set->p[i] = isl_basic_set_from_underlying_set(set->p[i],
3542 isl_basic_set_copy(like));
3546 isl_dim_free(set->dim);
3547 set->dim = isl_dim_copy(like->dim);
3550 isl_basic_set_free(like);
3553 isl_basic_set_free(like);
3558 struct isl_set *isl_map_underlying_set(struct isl_map *map)
3562 map = isl_map_cow(map);
3565 map->dim = isl_dim_cow(map->dim);
3569 for (i = 1; i < map->n; ++i)
3570 isl_assert(map->ctx, map->p[0]->n_div == map->p[i]->n_div,
3572 for (i = 0; i < map->n; ++i) {
3573 map->p[i] = (struct isl_basic_map *)
3574 isl_basic_map_underlying_set(map->p[i]);
3579 map->dim = isl_dim_underlying(map->dim, 0);
3581 isl_dim_free(map->dim);
3582 map->dim = isl_dim_copy(map->p[0]->dim);
3586 return (struct isl_set *)map;
3592 struct isl_set *isl_set_to_underlying_set(struct isl_set *set)
3594 return (struct isl_set *)isl_map_underlying_set((struct isl_map *)set);
3597 static __isl_give isl_basic_map *isl_basic_map_reset_dim(
3598 __isl_take isl_basic_map *bmap, __isl_take isl_dim *dim)
3600 bmap = isl_basic_map_cow(bmap);
3604 isl_dim_free(bmap->dim);
3607 bmap = isl_basic_map_finalize(bmap);
3611 isl_basic_map_free(bmap);
3616 static __isl_give isl_basic_set *isl_basic_set_reset_dim(
3617 __isl_take isl_basic_set *bset, __isl_take isl_dim *dim)
3619 return (isl_basic_set *)isl_basic_map_reset_dim((isl_basic_map *)bset,
3623 __isl_give isl_map *isl_map_reset_dim(__isl_take isl_map *map,
3624 __isl_take isl_dim *dim)
3628 map = isl_map_cow(map);
3632 for (i = 0; i < map->n; ++i) {
3633 map->p[i] = isl_basic_map_reset_dim(map->p[i],
3638 isl_dim_free(map->dim);
3648 __isl_give isl_set *isl_set_reset_dim(__isl_take isl_set *set,
3649 __isl_take isl_dim *dim)
3651 return (struct isl_set *) isl_map_reset_dim((struct isl_map *)set, dim);
3654 struct isl_basic_set *isl_basic_map_domain(struct isl_basic_map *bmap)
3657 struct isl_basic_set *domain;
3663 dim = isl_dim_domain(isl_basic_map_get_dim(bmap));
3665 n_in = isl_basic_map_n_in(bmap);
3666 n_out = isl_basic_map_n_out(bmap);
3667 domain = isl_basic_set_from_basic_map(bmap);
3668 domain = isl_basic_set_project_out(domain, isl_dim_set, n_in, n_out);
3670 domain = isl_basic_set_reset_dim(domain, dim);
3675 struct isl_basic_set *isl_basic_map_range(struct isl_basic_map *bmap)
3677 return isl_basic_map_domain(isl_basic_map_reverse(bmap));
3680 __isl_give isl_basic_map *isl_basic_map_domain_map(
3681 __isl_take isl_basic_map *bmap)
3685 isl_basic_map *domain;
3686 isl_basic_set *bset;
3687 int nparam, n_in, n_out;
3690 nparam = isl_basic_map_dim(bmap, isl_dim_param);
3691 n_in = isl_basic_map_dim(bmap, isl_dim_in);
3692 n_out = isl_basic_map_dim(bmap, isl_dim_out);
3694 dim = isl_dim_from_range(isl_dim_domain(isl_basic_map_get_dim(bmap)));
3695 domain = isl_basic_map_universe(dim);
3697 bmap = isl_basic_map_from_domain(isl_basic_map_wrap(bmap));
3698 bmap = isl_basic_map_apply_range(bmap, domain);
3699 bmap = isl_basic_map_extend_constraints(bmap, n_in, 0);
3701 total = isl_basic_map_total_dim(bmap);
3703 for (i = 0; i < n_in; ++i) {
3704 k = isl_basic_map_alloc_equality(bmap);
3707 isl_seq_clr(bmap->eq[k], 1 + total);
3708 isl_int_set_si(bmap->eq[k][1 + nparam + i], -1);
3709 isl_int_set_si(bmap->eq[k][1 + nparam + n_in + n_out + i], 1);
3712 bmap = isl_basic_map_gauss(bmap, NULL);
3713 return isl_basic_map_finalize(bmap);
3715 isl_basic_map_free(bmap);
3719 __isl_give isl_basic_map *isl_basic_map_range_map(
3720 __isl_take isl_basic_map *bmap)
3724 isl_basic_map *range;
3725 isl_basic_set *bset;
3726 int nparam, n_in, n_out;
3729 nparam = isl_basic_map_dim(bmap, isl_dim_param);
3730 n_in = isl_basic_map_dim(bmap, isl_dim_in);
3731 n_out = isl_basic_map_dim(bmap, isl_dim_out);
3733 dim = isl_dim_from_range(isl_dim_range(isl_basic_map_get_dim(bmap)));
3734 range = isl_basic_map_universe(dim);
3736 bmap = isl_basic_map_from_domain(isl_basic_map_wrap(bmap));
3737 bmap = isl_basic_map_apply_range(bmap, range);
3738 bmap = isl_basic_map_extend_constraints(bmap, n_out, 0);
3740 total = isl_basic_map_total_dim(bmap);
3742 for (i = 0; i < n_out; ++i) {
3743 k = isl_basic_map_alloc_equality(bmap);
3746 isl_seq_clr(bmap->eq[k], 1 + total);
3747 isl_int_set_si(bmap->eq[k][1 + nparam + n_in + i], -1);
3748 isl_int_set_si(bmap->eq[k][1 + nparam + n_in + n_out + i], 1);
3751 bmap = isl_basic_map_gauss(bmap, NULL);
3752 return isl_basic_map_finalize(bmap);
3754 isl_basic_map_free(bmap);
3758 struct isl_set *isl_map_range(struct isl_map *map)
3761 struct isl_set *set;
3765 if (isl_map_dim(map, isl_dim_in) == 0)
3766 return (isl_set *)map;
3768 map = isl_map_cow(map);
3772 set = (struct isl_set *) map;
3773 set->dim = isl_dim_drop_inputs(set->dim, 0, set->dim->n_in);
3776 for (i = 0; i < map->n; ++i) {
3777 set->p[i] = isl_basic_map_range(map->p[i]);
3781 ISL_F_CLR(set, ISL_MAP_DISJOINT);
3782 ISL_F_CLR(set, ISL_SET_NORMALIZED);
3789 __isl_give isl_map *isl_map_domain_map(__isl_take isl_map *map)
3792 isl_dim *domain_dim;
3794 map = isl_map_cow(map);
3798 domain_dim = isl_dim_from_range(isl_dim_domain(isl_map_get_dim(map)));
3799 map->dim = isl_dim_from_domain(isl_dim_wrap(map->dim));
3800 map->dim = isl_dim_join(map->dim, domain_dim);
3803 for (i = 0; i < map->n; ++i) {
3804 map->p[i] = isl_basic_map_domain_map(map->p[i]);
3808 ISL_F_CLR(map, ISL_MAP_DISJOINT);
3809 ISL_F_CLR(map, ISL_MAP_NORMALIZED);
3816 __isl_give isl_map *isl_map_range_map(__isl_take isl_map *map)
3821 map = isl_map_cow(map);
3825 range_dim = isl_dim_range(isl_map_get_dim(map));
3826 map->dim = isl_dim_from_domain(isl_dim_wrap(map->dim));
3827 map->dim = isl_dim_join(map->dim, range_dim);
3830 for (i = 0; i < map->n; ++i) {
3831 map->p[i] = isl_basic_map_range_map(map->p[i]);
3835 ISL_F_CLR(map, ISL_MAP_DISJOINT);
3836 ISL_F_CLR(map, ISL_MAP_NORMALIZED);
3843 struct isl_map *isl_map_from_set(struct isl_set *set, struct isl_dim *dim)
3846 struct isl_map *map = NULL;
3848 set = isl_set_cow(set);
3851 isl_assert(set->ctx, isl_dim_compatible(set->dim, dim), goto error);
3852 map = (struct isl_map *)set;
3853 for (i = 0; i < set->n; ++i) {
3854 map->p[i] = isl_basic_map_from_basic_set(
3855 set->p[i], isl_dim_copy(dim));
3859 isl_dim_free(map->dim);
3868 __isl_give isl_basic_map *isl_basic_map_from_domain(
3869 __isl_take isl_basic_set *bset)
3871 return isl_basic_map_reverse(isl_basic_map_from_range(bset));
3874 __isl_give isl_basic_map *isl_basic_map_from_range(
3875 __isl_take isl_basic_set *bset)
3877 return (isl_basic_map *)bset;
3880 struct isl_map *isl_map_from_range(struct isl_set *set)
3882 return (struct isl_map *)set;
3885 __isl_give isl_map *isl_map_from_domain(__isl_take isl_set *set)
3887 return isl_map_reverse(isl_map_from_range(set));
3890 __isl_give isl_map *isl_map_from_domain_and_range(__isl_take isl_set *domain,
3891 __isl_take isl_set *range)
3893 return isl_map_apply_range(isl_map_from_domain(domain),
3894 isl_map_from_range(range));
3897 struct isl_set *isl_set_from_map(struct isl_map *map)
3900 struct isl_set *set = NULL;
3904 map = isl_map_cow(map);
3907 map->dim = isl_dim_as_set_dim(map->dim);
3910 set = (struct isl_set *)map;
3911 for (i = 0; i < map->n; ++i) {
3912 set->p[i] = isl_basic_set_from_basic_map(map->p[i]);
3922 struct isl_map *isl_map_alloc_dim(struct isl_dim *dim, int n, unsigned flags)
3924 struct isl_map *map;
3928 isl_assert(dim->ctx, n >= 0, return NULL);
3929 map = isl_alloc(dim->ctx, struct isl_map,
3930 sizeof(struct isl_map) +
3931 (n - 1) * sizeof(struct isl_basic_map *));
3935 map->ctx = dim->ctx;
3936 isl_ctx_ref(map->ctx);
3948 struct isl_map *isl_map_alloc(struct isl_ctx *ctx,
3949 unsigned nparam, unsigned in, unsigned out, int n,
3952 struct isl_map *map;
3953 struct isl_dim *dims;
3955 dims = isl_dim_alloc(ctx, nparam, in, out);
3959 map = isl_map_alloc_dim(dims, n, flags);
3963 struct isl_basic_map *isl_basic_map_empty(struct isl_dim *dim)
3965 struct isl_basic_map *bmap;
3966 bmap = isl_basic_map_alloc_dim(dim, 0, 1, 0);
3967 bmap = isl_basic_map_set_to_empty(bmap);
3971 struct isl_basic_set *isl_basic_set_empty(struct isl_dim *dim)
3973 struct isl_basic_set *bset;
3974 bset = isl_basic_set_alloc_dim(dim, 0, 1, 0);
3975 bset = isl_basic_set_set_to_empty(bset);
3979 struct isl_basic_map *isl_basic_map_empty_like(struct isl_basic_map *model)
3981 struct isl_basic_map *bmap;
3984 bmap = isl_basic_map_alloc_dim(isl_dim_copy(model->dim), 0, 1, 0);
3985 bmap = isl_basic_map_set_to_empty(bmap);
3989 struct isl_basic_map *isl_basic_map_empty_like_map(struct isl_map *model)
3991 struct isl_basic_map *bmap;
3994 bmap = isl_basic_map_alloc_dim(isl_dim_copy(model->dim), 0, 1, 0);
3995 bmap = isl_basic_map_set_to_empty(bmap);
3999 struct isl_basic_set *isl_basic_set_empty_like(struct isl_basic_set *model)
4001 struct isl_basic_set *bset;
4004 bset = isl_basic_set_alloc_dim(isl_dim_copy(model->dim), 0, 1, 0);
4005 bset = isl_basic_set_set_to_empty(bset);
4009 struct isl_basic_map *isl_basic_map_universe(struct isl_dim *dim)
4011 struct isl_basic_map *bmap;
4012 bmap = isl_basic_map_alloc_dim(dim, 0, 0, 0);
4016 struct isl_basic_set *isl_basic_set_universe(struct isl_dim *dim)
4018 struct isl_basic_set *bset;
4019 bset = isl_basic_set_alloc_dim(dim, 0, 0, 0);
4023 __isl_give isl_basic_map *isl_basic_map_universe_like(
4024 __isl_keep isl_basic_map *model)
4028 return isl_basic_map_alloc_dim(isl_dim_copy(model->dim), 0, 0, 0);
4031 struct isl_basic_set *isl_basic_set_universe_like(struct isl_basic_set *model)
4035 return isl_basic_set_alloc_dim(isl_dim_copy(model->dim), 0, 0, 0);
4038 __isl_give isl_basic_set *isl_basic_set_universe_like_set(
4039 __isl_keep isl_set *model)
4043 return isl_basic_set_alloc_dim(isl_dim_copy(model->dim), 0, 0, 0);
4046 struct isl_map *isl_map_empty(struct isl_dim *dim)
4048 return isl_map_alloc_dim(dim, 0, ISL_MAP_DISJOINT);
4051 struct isl_map *isl_map_empty_like(struct isl_map *model)
4055 return isl_map_alloc_dim(isl_dim_copy(model->dim), 0, ISL_MAP_DISJOINT);
4058 struct isl_map *isl_map_empty_like_basic_map(struct isl_basic_map *model)
4062 return isl_map_alloc_dim(isl_dim_copy(model->dim), 0, ISL_MAP_DISJOINT);
4065 struct isl_set *isl_set_empty(struct isl_dim *dim)
4067 return isl_set_alloc_dim(dim, 0, ISL_MAP_DISJOINT);
4070 struct isl_set *isl_set_empty_like(struct isl_set *model)
4074 return isl_set_empty(isl_dim_copy(model->dim));
4077 struct isl_map *isl_map_universe(struct isl_dim *dim)
4079 struct isl_map *map;
4082 map = isl_map_alloc_dim(isl_dim_copy(dim), 1, ISL_MAP_DISJOINT);
4083 map = isl_map_add_basic_map(map, isl_basic_map_universe(dim));
4087 struct isl_set *isl_set_universe(struct isl_dim *dim)
4089 struct isl_set *set;
4092 set = isl_set_alloc_dim(isl_dim_copy(dim), 1, ISL_MAP_DISJOINT);
4093 set = isl_set_add_basic_set(set, isl_basic_set_universe(dim));
4097 __isl_give isl_set *isl_set_universe_like(__isl_keep isl_set *model)
4101 return isl_set_universe(isl_dim_copy(model->dim));
4104 struct isl_map *isl_map_dup(struct isl_map *map)
4107 struct isl_map *dup;
4111 dup = isl_map_alloc_dim(isl_dim_copy(map->dim), map->n, map->flags);
4112 for (i = 0; i < map->n; ++i)
4113 dup = isl_map_add_basic_map(dup, isl_basic_map_copy(map->p[i]));
4117 __isl_give isl_map *isl_map_add_basic_map(__isl_take isl_map *map,
4118 __isl_take isl_basic_map *bmap)
4122 if (isl_basic_map_fast_is_empty(bmap)) {
4123 isl_basic_map_free(bmap);
4126 isl_assert(map->ctx, isl_dim_equal(map->dim, bmap->dim), goto error);
4127 isl_assert(map->ctx, map->n < map->size, goto error);
4128 map->p[map->n] = bmap;
4130 ISL_F_CLR(map, ISL_MAP_NORMALIZED);
4136 isl_basic_map_free(bmap);
4140 void isl_map_free(struct isl_map *map)
4150 isl_ctx_deref(map->ctx);
4151 for (i = 0; i < map->n; ++i)
4152 isl_basic_map_free(map->p[i]);
4153 isl_dim_free(map->dim);
4157 struct isl_map *isl_map_extend(struct isl_map *base,
4158 unsigned nparam, unsigned n_in, unsigned n_out)
4162 base = isl_map_cow(base);
4166 base->dim = isl_dim_extend(base->dim, nparam, n_in, n_out);
4169 for (i = 0; i < base->n; ++i) {
4170 base->p[i] = isl_basic_map_extend_dim(base->p[i],
4171 isl_dim_copy(base->dim), 0, 0, 0);
4181 struct isl_set *isl_set_extend(struct isl_set *base,
4182 unsigned nparam, unsigned dim)
4184 return (struct isl_set *)isl_map_extend((struct isl_map *)base,
4188 static struct isl_basic_map *isl_basic_map_fix_pos_si(
4189 struct isl_basic_map *bmap, unsigned pos, int value)
4193 bmap = isl_basic_map_cow(bmap);
4194 bmap = isl_basic_map_extend_constraints(bmap, 1, 0);
4195 j = isl_basic_map_alloc_equality(bmap);
4198 isl_seq_clr(bmap->eq[j] + 1, isl_basic_map_total_dim(bmap));
4199 isl_int_set_si(bmap->eq[j][pos], -1);
4200 isl_int_set_si(bmap->eq[j][0], value);
4201 bmap = isl_basic_map_simplify(bmap);
4202 return isl_basic_map_finalize(bmap);
4204 isl_basic_map_free(bmap);
4208 static __isl_give isl_basic_map *isl_basic_map_fix_pos(
4209 __isl_take isl_basic_map *bmap, unsigned pos, isl_int value)
4213 bmap = isl_basic_map_cow(bmap);
4214 bmap = isl_basic_map_extend_constraints(bmap, 1, 0);
4215 j = isl_basic_map_alloc_equality(bmap);
4218 isl_seq_clr(bmap->eq[j] + 1, isl_basic_map_total_dim(bmap));
4219 isl_int_set_si(bmap->eq[j][pos], -1);
4220 isl_int_set(bmap->eq[j][0], value);
4221 bmap = isl_basic_map_simplify(bmap);
4222 return isl_basic_map_finalize(bmap);
4224 isl_basic_map_free(bmap);
4228 struct isl_basic_map *isl_basic_map_fix_si(struct isl_basic_map *bmap,
4229 enum isl_dim_type type, unsigned pos, int value)
4233 isl_assert(bmap->ctx, pos < isl_basic_map_dim(bmap, type), goto error);
4234 return isl_basic_map_fix_pos_si(bmap,
4235 isl_basic_map_offset(bmap, type) + pos, value);
4237 isl_basic_map_free(bmap);
4241 __isl_give isl_basic_map *isl_basic_map_fix(__isl_take isl_basic_map *bmap,
4242 enum isl_dim_type type, unsigned pos, isl_int value)
4246 isl_assert(bmap->ctx, pos < isl_basic_map_dim(bmap, type), goto error);
4247 return isl_basic_map_fix_pos(bmap,
4248 isl_basic_map_offset(bmap, type) + pos, value);
4250 isl_basic_map_free(bmap);
4254 struct isl_basic_set *isl_basic_set_fix_si(struct isl_basic_set *bset,
4255 enum isl_dim_type type, unsigned pos, int value)
4257 return (struct isl_basic_set *)
4258 isl_basic_map_fix_si((struct isl_basic_map *)bset,
4262 __isl_give isl_basic_set *isl_basic_set_fix(__isl_take isl_basic_set *bset,
4263 enum isl_dim_type type, unsigned pos, isl_int value)
4265 return (struct isl_basic_set *)
4266 isl_basic_map_fix((struct isl_basic_map *)bset,
4270 struct isl_basic_map *isl_basic_map_fix_input_si(struct isl_basic_map *bmap,
4271 unsigned input, int value)
4273 return isl_basic_map_fix_si(bmap, isl_dim_in, input, value);
4276 struct isl_basic_set *isl_basic_set_fix_dim_si(struct isl_basic_set *bset,
4277 unsigned dim, int value)
4279 return (struct isl_basic_set *)
4280 isl_basic_map_fix_si((struct isl_basic_map *)bset,
4281 isl_dim_set, dim, value);
4284 struct isl_map *isl_map_fix_si(struct isl_map *map,
4285 enum isl_dim_type type, unsigned pos, int value)
4289 map = isl_map_cow(map);
4293 isl_assert(map->ctx, pos < isl_map_dim(map, type), goto error);
4294 for (i = 0; i < map->n; ++i) {
4295 map->p[i] = isl_basic_map_fix_si(map->p[i], type, pos, value);
4299 ISL_F_CLR(map, ISL_MAP_NORMALIZED);
4306 __isl_give isl_set *isl_set_fix_si(__isl_take isl_set *set,
4307 enum isl_dim_type type, unsigned pos, int value)
4309 return (struct isl_set *)
4310 isl_map_fix_si((struct isl_map *)set, type, pos, value);
4313 __isl_give isl_map *isl_map_fix(__isl_take isl_map *map,
4314 enum isl_dim_type type, unsigned pos, isl_int value)
4318 map = isl_map_cow(map);
4322 isl_assert(map->ctx, pos < isl_map_dim(map, type), goto error);
4323 for (i = 0; i < map->n; ++i) {
4324 map->p[i] = isl_basic_map_fix(map->p[i], type, pos, value);
4328 ISL_F_CLR(map, ISL_MAP_NORMALIZED);
4335 __isl_give isl_set *isl_set_fix(__isl_take isl_set *set,
4336 enum isl_dim_type type, unsigned pos, isl_int value)
4338 return (struct isl_set *)isl_map_fix((isl_map *)set, type, pos, value);
4341 struct isl_map *isl_map_fix_input_si(struct isl_map *map,
4342 unsigned input, int value)
4344 return isl_map_fix_si(map, isl_dim_in, input, value);
4347 struct isl_set *isl_set_fix_dim_si(struct isl_set *set, unsigned dim, int value)
4349 return (struct isl_set *)
4350 isl_map_fix_si((struct isl_map *)set, isl_dim_set, dim, value);
4353 __isl_give isl_basic_map *isl_basic_map_lower_bound_si(
4354 __isl_take isl_basic_map *bmap,
4355 enum isl_dim_type type, unsigned pos, int value)
4361 isl_assert(bmap->ctx, pos < isl_basic_map_dim(bmap, type), goto error);
4362 pos += isl_basic_map_offset(bmap, type);
4363 bmap = isl_basic_map_cow(bmap);
4364 bmap = isl_basic_map_extend_constraints(bmap, 0, 1);
4365 j = isl_basic_map_alloc_inequality(bmap);
4368 isl_seq_clr(bmap->ineq[j], 1 + isl_basic_map_total_dim(bmap));
4369 isl_int_set_si(bmap->ineq[j][pos], 1);
4370 isl_int_set_si(bmap->ineq[j][0], -value);
4371 bmap = isl_basic_map_simplify(bmap);
4372 return isl_basic_map_finalize(bmap);
4374 isl_basic_map_free(bmap);
4378 struct isl_basic_set *isl_basic_set_lower_bound_dim(struct isl_basic_set *bset,
4379 unsigned dim, isl_int value)
4383 bset = isl_basic_set_cow(bset);
4384 bset = isl_basic_set_extend_constraints(bset, 0, 1);
4385 j = isl_basic_set_alloc_inequality(bset);
4388 isl_seq_clr(bset->ineq[j], 1 + isl_basic_set_total_dim(bset));
4389 isl_int_set_si(bset->ineq[j][1 + isl_basic_set_n_param(bset) + dim], 1);
4390 isl_int_neg(bset->ineq[j][0], value);
4391 bset = isl_basic_set_simplify(bset);
4392 return isl_basic_set_finalize(bset);
4394 isl_basic_set_free(bset);
4398 __isl_give isl_map *isl_map_lower_bound_si(__isl_take isl_map *map,
4399 enum isl_dim_type type, unsigned pos, int value)
4403 map = isl_map_cow(map);
4407 isl_assert(map->ctx, pos < isl_map_dim(map, type), goto error);
4408 for (i = 0; i < map->n; ++i) {
4409 map->p[i] = isl_basic_map_lower_bound_si(map->p[i],
4414 ISL_F_CLR(map, ISL_MAP_NORMALIZED);
4421 __isl_give isl_set *isl_set_lower_bound_si(__isl_take isl_set *set,
4422 enum isl_dim_type type, unsigned pos, int value)
4424 return (struct isl_set *)
4425 isl_map_lower_bound_si((struct isl_map *)set, type, pos, value);
4428 struct isl_set *isl_set_lower_bound_dim(struct isl_set *set, unsigned dim,
4433 set = isl_set_cow(set);
4437 isl_assert(set->ctx, dim < isl_set_n_dim(set), goto error);
4438 for (i = 0; i < set->n; ++i) {
4439 set->p[i] = isl_basic_set_lower_bound_dim(set->p[i], dim, value);
4449 struct isl_map *isl_map_reverse(struct isl_map *map)
4453 map = isl_map_cow(map);
4457 map->dim = isl_dim_reverse(map->dim);
4460 for (i = 0; i < map->n; ++i) {
4461 map->p[i] = isl_basic_map_reverse(map->p[i]);
4465 ISL_F_CLR(map, ISL_MAP_NORMALIZED);
4472 static struct isl_map *isl_basic_map_partial_lexopt(
4473 struct isl_basic_map *bmap, struct isl_basic_set *dom,
4474 struct isl_set **empty, int max)
4478 if (bmap->ctx->opt->pip == ISL_PIP_PIP)
4479 return isl_pip_basic_map_lexopt(bmap, dom, empty, max);
4481 return isl_tab_basic_map_partial_lexopt(bmap, dom, empty, max);
4483 isl_basic_map_free(bmap);
4484 isl_basic_set_free(dom);
4490 struct isl_map *isl_basic_map_partial_lexmax(
4491 struct isl_basic_map *bmap, struct isl_basic_set *dom,
4492 struct isl_set **empty)
4494 return isl_basic_map_partial_lexopt(bmap, dom, empty, 1);
4497 struct isl_map *isl_basic_map_partial_lexmin(
4498 struct isl_basic_map *bmap, struct isl_basic_set *dom,
4499 struct isl_set **empty)
4501 return isl_basic_map_partial_lexopt(bmap, dom, empty, 0);
4504 struct isl_set *isl_basic_set_partial_lexmin(
4505 struct isl_basic_set *bset, struct isl_basic_set *dom,
4506 struct isl_set **empty)
4508 return (struct isl_set *)
4509 isl_basic_map_partial_lexmin((struct isl_basic_map *)bset,
4513 struct isl_set *isl_basic_set_partial_lexmax(
4514 struct isl_basic_set *bset, struct isl_basic_set *dom,
4515 struct isl_set **empty)
4517 return (struct isl_set *)
4518 isl_basic_map_partial_lexmax((struct isl_basic_map *)bset,
4522 /* Given a basic map "bmap", compute the lexicograhically minimal
4523 * (or maximal) image element for each domain element in dom.
4524 * Set *empty to those elements in dom that do not have an image element.
4526 * We first make sure the basic sets in dom are disjoint and then
4527 * simply collect the results over each of the basic sets separately.
4528 * We could probably improve the efficiency a bit by moving the union
4529 * domain down into the parametric integer programming.
4531 static __isl_give isl_map *basic_map_partial_lexopt(
4532 __isl_take isl_basic_map *bmap, __isl_take isl_set *dom,
4533 __isl_give isl_set **empty, int max)
4536 struct isl_map *res;
4538 dom = isl_set_make_disjoint(dom);
4542 if (isl_set_fast_is_empty(dom)) {
4543 res = isl_map_empty_like_basic_map(bmap);
4544 *empty = isl_set_empty_like(dom);
4546 isl_basic_map_free(bmap);
4550 res = isl_basic_map_partial_lexopt(isl_basic_map_copy(bmap),
4551 isl_basic_set_copy(dom->p[0]), empty, max);
4553 for (i = 1; i < dom->n; ++i) {
4554 struct isl_map *res_i;
4555 struct isl_set *empty_i;
4557 res_i = isl_basic_map_partial_lexopt(isl_basic_map_copy(bmap),
4558 isl_basic_set_copy(dom->p[i]), &empty_i, max);
4560 res = isl_map_union_disjoint(res, res_i);
4561 *empty = isl_set_union_disjoint(*empty, empty_i);
4565 isl_basic_map_free(bmap);
4570 isl_basic_map_free(bmap);
4574 /* Given a map "map", compute the lexicograhically minimal
4575 * (or maximal) image element for each domain element in dom.
4576 * Set *empty to those elements in dom that do not have an image element.
4578 * We first compute the lexicographically minimal or maximal element
4579 * in the first basic map. This results in a partial solution "res"
4580 * and a subset "todo" of dom that still need to be handled.
4581 * We then consider each of the remaining maps in "map" and successively
4582 * improve both "res" and "todo".
4584 * Let res^k and todo^k be the results after k steps and let i = k + 1.
4585 * Assume we are computing the lexicographical maximum.
4586 * We first intersect basic map i with a relation that maps elements
4587 * to elements that are lexicographically larger than the image elements
4588 * in res^k and the compute the maximum image element of this intersection.
4589 * The result ("better") corresponds to those image elements in basic map i
4590 * that are better than what we had before. The remainder ("keep") are the
4591 * domain elements for which the image element in res_k was better.
4592 * We also compute the lexicographical maximum of basic map i in todo^k.
4593 * res^i is the result of the operation + better + those elements in
4594 * res^k that we should keep
4595 * todo^i is the remainder of the maximum operation on todo^k.
4597 static __isl_give isl_map *isl_map_partial_lexopt(
4598 __isl_take isl_map *map, __isl_take isl_set *dom,
4599 __isl_give isl_set **empty, int max)
4602 struct isl_map *res;
4603 struct isl_set *todo;
4608 if (isl_map_fast_is_empty(map)) {
4616 res = basic_map_partial_lexopt(isl_basic_map_copy(map->p[0]),
4617 isl_set_copy(dom), &todo, max);
4619 for (i = 1; i < map->n; ++i) {
4621 struct isl_map *better;
4622 struct isl_set *keep;
4623 struct isl_map *res_i;
4624 struct isl_set *todo_i;
4625 struct isl_dim *dim = isl_map_get_dim(res);
4627 dim = isl_dim_range(dim);
4629 lt = isl_map_lex_lt(dim);
4631 lt = isl_map_lex_gt(dim);
4632 lt = isl_map_apply_range(isl_map_copy(res), lt);
4633 lt = isl_map_intersect(lt,
4634 isl_map_from_basic_map(isl_basic_map_copy(map->p[i])));
4635 better = isl_map_partial_lexopt(lt,
4636 isl_map_domain(isl_map_copy(res)),
4639 res_i = basic_map_partial_lexopt(isl_basic_map_copy(map->p[i]),
4640 todo, &todo_i, max);
4642 res = isl_map_intersect_domain(res, keep);
4643 res = isl_map_union_disjoint(res, res_i);
4644 res = isl_map_union_disjoint(res, better);
4665 __isl_give isl_map *isl_map_partial_lexmax(
4666 __isl_take isl_map *map, __isl_take isl_set *dom,
4667 __isl_give isl_set **empty)
4669 return isl_map_partial_lexopt(map, dom, empty, 1);
4672 __isl_give isl_map *isl_map_partial_lexmin(
4673 __isl_take isl_map *map, __isl_take isl_set *dom,
4674 __isl_give isl_set **empty)
4676 return isl_map_partial_lexopt(map, dom, empty, 0);
4679 __isl_give isl_set *isl_set_partial_lexmin(
4680 __isl_take isl_set *set, __isl_take isl_set *dom,
4681 __isl_give isl_set **empty)
4683 return (struct isl_set *)
4684 isl_map_partial_lexmin((struct isl_map *)set,
4688 __isl_give isl_set *isl_set_partial_lexmax(
4689 __isl_take isl_set *set, __isl_take isl_set *dom,
4690 __isl_give isl_set **empty)
4692 return (struct isl_set *)
4693 isl_map_partial_lexmax((struct isl_map *)set,
4697 __isl_give isl_map *isl_basic_map_lexopt(__isl_take isl_basic_map *bmap, int max)
4699 struct isl_basic_set *dom = NULL;
4700 struct isl_dim *dom_dim;
4704 dom_dim = isl_dim_domain(isl_dim_copy(bmap->dim));
4705 dom = isl_basic_set_universe(dom_dim);
4706 return isl_basic_map_partial_lexopt(bmap, dom, NULL, max);
4708 isl_basic_map_free(bmap);
4712 __isl_give isl_map *isl_basic_map_lexmin(__isl_take isl_basic_map *bmap)
4714 return isl_basic_map_lexopt(bmap, 0);
4717 __isl_give isl_map *isl_basic_map_lexmax(__isl_take isl_basic_map *bmap)
4719 return isl_basic_map_lexopt(bmap, 1);
4722 __isl_give isl_set *isl_basic_set_lexmin(__isl_take isl_basic_set *bset)
4724 return (isl_set *)isl_basic_map_lexmin((isl_basic_map *)bset);
4727 __isl_give isl_set *isl_basic_set_lexmax(__isl_take isl_basic_set *bset)
4729 return (isl_set *)isl_basic_map_lexmax((isl_basic_map *)bset);
4732 __isl_give isl_map *isl_map_lexopt(__isl_take isl_map *map, int max)
4734 struct isl_set *dom = NULL;
4735 struct isl_dim *dom_dim;
4739 dom_dim = isl_dim_domain(isl_dim_copy(map->dim));
4740 dom = isl_set_universe(dom_dim);
4741 return isl_map_partial_lexopt(map, dom, NULL, max);
4747 __isl_give isl_map *isl_map_lexmin(__isl_take isl_map *map)
4749 return isl_map_lexopt(map, 0);
4752 __isl_give isl_map *isl_map_lexmax(__isl_take isl_map *map)
4754 return isl_map_lexopt(map, 1);
4757 __isl_give isl_set *isl_set_lexmin(__isl_take isl_set *set)
4759 return (isl_set *)isl_map_lexmin((isl_map *)set);
4762 __isl_give isl_set *isl_set_lexmax(__isl_take isl_set *set)
4764 return (isl_set *)isl_map_lexmax((isl_map *)set);
4767 /* Apply a preimage specified by "mat" on the parameters of "bset".
4768 * bset is assumed to have only parameters and divs.
4770 static struct isl_basic_set *basic_set_parameter_preimage(
4771 struct isl_basic_set *bset, struct isl_mat *mat)
4778 bset->dim = isl_dim_cow(bset->dim);
4782 nparam = isl_basic_set_dim(bset, isl_dim_param);
4784 isl_assert(bset->ctx, mat->n_row == 1 + nparam, goto error);
4786 bset->dim->nparam = 0;
4787 bset->dim->n_out = nparam;
4788 bset = isl_basic_set_preimage(bset, mat);
4790 bset->dim->nparam = bset->dim->n_out;
4791 bset->dim->n_out = 0;
4796 isl_basic_set_free(bset);
4800 /* Apply a preimage specified by "mat" on the parameters of "set".
4801 * set is assumed to have only parameters and divs.
4803 static struct isl_set *set_parameter_preimage(
4804 struct isl_set *set, struct isl_mat *mat)
4806 struct isl_dim *dim = NULL;
4812 dim = isl_dim_copy(set->dim);
4813 dim = isl_dim_cow(dim);
4817 nparam = isl_set_dim(set, isl_dim_param);
4819 isl_assert(set->ctx, mat->n_row == 1 + nparam, goto error);
4822 dim->n_out = nparam;
4823 isl_set_reset_dim(set, dim);
4824 set = isl_set_preimage(set, mat);
4827 dim = isl_dim_copy(set->dim);
4828 dim = isl_dim_cow(dim);
4831 dim->nparam = dim->n_out;
4833 isl_set_reset_dim(set, dim);
4843 /* Intersect the basic set "bset" with the affine space specified by the
4844 * equalities in "eq".
4846 static struct isl_basic_set *basic_set_append_equalities(
4847 struct isl_basic_set *bset, struct isl_mat *eq)
4855 bset = isl_basic_set_extend_dim(bset, isl_dim_copy(bset->dim), 0,
4860 len = 1 + isl_dim_total(bset->dim) + bset->extra;
4861 for (i = 0; i < eq->n_row; ++i) {
4862 k = isl_basic_set_alloc_equality(bset);
4865 isl_seq_cpy(bset->eq[k], eq->row[i], eq->n_col);
4866 isl_seq_clr(bset->eq[k] + eq->n_col, len - eq->n_col);
4870 bset = isl_basic_set_gauss(bset, NULL);
4871 bset = isl_basic_set_finalize(bset);
4876 isl_basic_set_free(bset);
4880 /* Intersect the set "set" with the affine space specified by the
4881 * equalities in "eq".
4883 static struct isl_set *set_append_equalities(struct isl_set *set,
4891 for (i = 0; i < set->n; ++i) {
4892 set->p[i] = basic_set_append_equalities(set->p[i],
4905 /* Project the given basic set onto its parameter domain, possibly introducing
4906 * new, explicit, existential variables in the constraints.
4907 * The input has parameters and (possibly implicit) existential variables.
4908 * The output has the same parameters, but only
4909 * explicit existentially quantified variables.
4911 * The actual projection is performed by pip, but pip doesn't seem
4912 * to like equalities very much, so we first remove the equalities
4913 * among the parameters by performing a variable compression on
4914 * the parameters. Afterward, an inverse transformation is performed
4915 * and the equalities among the parameters are inserted back in.
4917 static struct isl_set *parameter_compute_divs(struct isl_basic_set *bset)
4921 struct isl_mat *T, *T2;
4922 struct isl_set *set;
4923 unsigned nparam, n_div;
4925 bset = isl_basic_set_cow(bset);
4929 if (bset->n_eq == 0)
4930 return isl_basic_set_lexmin(bset);
4932 isl_basic_set_gauss(bset, NULL);
4934 nparam = isl_basic_set_dim(bset, isl_dim_param);
4935 n_div = isl_basic_set_dim(bset, isl_dim_div);
4937 for (i = 0, j = n_div - 1; i < bset->n_eq && j >= 0; --j) {
4938 if (!isl_int_is_zero(bset->eq[i][1 + nparam + j]))
4941 if (i == bset->n_eq)
4942 return isl_basic_set_lexmin(bset);
4944 eq = isl_mat_sub_alloc(bset->ctx, bset->eq, i, bset->n_eq - i,
4946 eq = isl_mat_cow(eq);
4947 T = isl_mat_variable_compression(isl_mat_copy(eq), &T2);
4948 if (T && T->n_col == 0) {
4952 bset = isl_basic_set_set_to_empty(bset);
4953 return isl_set_from_basic_set(bset);
4955 bset = basic_set_parameter_preimage(bset, T);
4957 set = isl_basic_set_lexmin(bset);
4958 set = set_parameter_preimage(set, T2);
4959 set = set_append_equalities(set, eq);
4963 /* Compute an explicit representation for all the existentially
4964 * quantified variables.
4965 * The input and output dimensions are first turned into parameters.
4966 * compute_divs then returns a map with the same parameters and
4967 * no input or output dimensions and the dimension specification
4968 * is reset to that of the input.
4970 static struct isl_map *compute_divs(struct isl_basic_map *bmap)
4972 struct isl_basic_set *bset;
4973 struct isl_set *set;
4974 struct isl_map *map;
4975 struct isl_dim *dim, *orig_dim = NULL;
4980 bmap = isl_basic_map_cow(bmap);
4984 nparam = isl_basic_map_dim(bmap, isl_dim_param);
4985 n_in = isl_basic_map_dim(bmap, isl_dim_in);
4986 n_out = isl_basic_map_dim(bmap, isl_dim_out);
4987 dim = isl_dim_set_alloc(bmap->ctx, nparam + n_in + n_out, 0);
4991 orig_dim = bmap->dim;
4993 bset = (struct isl_basic_set *)bmap;
4995 set = parameter_compute_divs(bset);
4996 map = (struct isl_map *)set;
4997 map = isl_map_reset_dim(map, orig_dim);
5001 isl_basic_map_free(bmap);
5005 static int basic_map_divs_known(__isl_keep isl_basic_map *bmap)
5013 off = isl_dim_total(bmap->dim);
5014 for (i = 0; i < bmap->n_div; ++i) {
5015 if (isl_int_is_zero(bmap->div[i][0]))
5017 isl_assert(bmap->ctx, isl_int_is_zero(bmap->div[i][1+1+off+i]),
5023 static int map_divs_known(__isl_keep isl_map *map)
5030 for (i = 0; i < map->n; ++i) {
5031 int known = basic_map_divs_known(map->p[i]);
5039 /* If bmap contains any unknown divs, then compute explicit
5040 * expressions for them. However, this computation may be
5041 * quite expensive, so first try to remove divs that aren't
5044 struct isl_map *isl_basic_map_compute_divs(struct isl_basic_map *bmap)
5048 struct isl_map *map;
5050 known = basic_map_divs_known(bmap);
5054 return isl_map_from_basic_map(bmap);
5056 bmap = isl_basic_map_drop_redundant_divs(bmap);
5058 known = basic_map_divs_known(bmap);
5062 return isl_map_from_basic_map(bmap);
5064 map = compute_divs(bmap);
5067 isl_basic_map_free(bmap);
5071 struct isl_map *isl_map_compute_divs(struct isl_map *map)
5075 struct isl_map *res;
5082 known = map_divs_known(map);
5090 res = isl_basic_map_compute_divs(isl_basic_map_copy(map->p[0]));
5091 for (i = 1 ; i < map->n; ++i) {
5093 r2 = isl_basic_map_compute_divs(isl_basic_map_copy(map->p[i]));
5094 if (ISL_F_ISSET(map, ISL_MAP_DISJOINT))
5095 res = isl_map_union_disjoint(res, r2);
5097 res = isl_map_union(res, r2);
5104 struct isl_set *isl_basic_set_compute_divs(struct isl_basic_set *bset)
5106 return (struct isl_set *)
5107 isl_basic_map_compute_divs((struct isl_basic_map *)bset);
5110 struct isl_set *isl_set_compute_divs(struct isl_set *set)
5112 return (struct isl_set *)
5113 isl_map_compute_divs((struct isl_map *)set);
5116 struct isl_set *isl_map_domain(struct isl_map *map)
5119 struct isl_set *set;
5124 map = isl_map_cow(map);
5128 set = (struct isl_set *)map;
5129 set->dim = isl_dim_domain(set->dim);
5132 for (i = 0; i < map->n; ++i) {
5133 set->p[i] = isl_basic_map_domain(map->p[i]);
5137 ISL_F_CLR(set, ISL_MAP_DISJOINT);
5138 ISL_F_CLR(set, ISL_SET_NORMALIZED);
5145 struct isl_map *isl_map_union_disjoint(
5146 struct isl_map *map1, struct isl_map *map2)
5150 struct isl_map *map = NULL;
5164 isl_assert(map1->ctx, isl_dim_equal(map1->dim, map2->dim), goto error);
5166 if (ISL_F_ISSET(map1, ISL_MAP_DISJOINT) &&
5167 ISL_F_ISSET(map2, ISL_MAP_DISJOINT))
5168 ISL_FL_SET(flags, ISL_MAP_DISJOINT);
5170 map = isl_map_alloc_dim(isl_dim_copy(map1->dim),
5171 map1->n + map2->n, flags);
5174 for (i = 0; i < map1->n; ++i) {
5175 map = isl_map_add_basic_map(map,
5176 isl_basic_map_copy(map1->p[i]));
5180 for (i = 0; i < map2->n; ++i) {
5181 map = isl_map_add_basic_map(map,
5182 isl_basic_map_copy(map2->p[i]));
5196 struct isl_map *isl_map_union(struct isl_map *map1, struct isl_map *map2)
5198 map1 = isl_map_union_disjoint(map1, map2);
5202 ISL_F_CLR(map1, ISL_MAP_DISJOINT);
5206 struct isl_set *isl_set_union_disjoint(
5207 struct isl_set *set1, struct isl_set *set2)
5209 return (struct isl_set *)
5210 isl_map_union_disjoint(
5211 (struct isl_map *)set1, (struct isl_map *)set2);
5214 struct isl_set *isl_set_union(struct isl_set *set1, struct isl_set *set2)
5216 return (struct isl_set *)
5217 isl_map_union((struct isl_map *)set1, (struct isl_map *)set2);
5220 struct isl_map *isl_map_intersect_range(
5221 struct isl_map *map, struct isl_set *set)
5224 struct isl_map *result;
5230 if (ISL_F_ISSET(map, ISL_MAP_DISJOINT) &&
5231 ISL_F_ISSET(set, ISL_MAP_DISJOINT))
5232 ISL_FL_SET(flags, ISL_MAP_DISJOINT);
5234 result = isl_map_alloc_dim(isl_dim_copy(map->dim),
5235 map->n * set->n, flags);
5238 for (i = 0; i < map->n; ++i)
5239 for (j = 0; j < set->n; ++j) {
5240 result = isl_map_add_basic_map(result,
5241 isl_basic_map_intersect_range(
5242 isl_basic_map_copy(map->p[i]),
5243 isl_basic_set_copy(set->p[j])));
5256 struct isl_map *isl_map_intersect_domain(
5257 struct isl_map *map, struct isl_set *set)
5259 return isl_map_reverse(
5260 isl_map_intersect_range(isl_map_reverse(map), set));
5263 struct isl_map *isl_map_apply_domain(
5264 struct isl_map *map1, struct isl_map *map2)
5268 map1 = isl_map_reverse(map1);
5269 map1 = isl_map_apply_range(map1, map2);
5270 return isl_map_reverse(map1);
5277 struct isl_map *isl_map_apply_range(
5278 struct isl_map *map1, struct isl_map *map2)
5280 struct isl_dim *dim_result;
5281 struct isl_map *result;
5287 dim_result = isl_dim_join(isl_dim_copy(map1->dim),
5288 isl_dim_copy(map2->dim));
5290 result = isl_map_alloc_dim(dim_result, map1->n * map2->n, 0);
5293 for (i = 0; i < map1->n; ++i)
5294 for (j = 0; j < map2->n; ++j) {
5295 result = isl_map_add_basic_map(result,
5296 isl_basic_map_apply_range(
5297 isl_basic_map_copy(map1->p[i]),
5298 isl_basic_map_copy(map2->p[j])));
5304 if (result && result->n <= 1)
5305 ISL_F_SET(result, ISL_MAP_DISJOINT);
5314 * returns range - domain
5316 struct isl_basic_set *isl_basic_map_deltas(struct isl_basic_map *bmap)
5318 isl_dim *dims, *target_dim;
5319 struct isl_basic_set *bset;
5326 isl_assert(bmap->ctx, isl_dim_tuple_match(bmap->dim, isl_dim_in,
5327 bmap->dim, isl_dim_out),
5329 target_dim = isl_dim_domain(isl_basic_map_get_dim(bmap));
5330 dim = isl_basic_map_n_in(bmap);
5331 nparam = isl_basic_map_n_param(bmap);
5332 bset = isl_basic_set_from_basic_map(bmap);
5333 bset = isl_basic_set_cow(bset);
5334 dims = isl_basic_set_get_dim(bset);
5335 dims = isl_dim_add(dims, isl_dim_set, dim);
5336 bset = isl_basic_set_extend_dim(bset, dims, 0, dim, 0);
5337 bset = isl_basic_set_swap_vars(bset, 2*dim);
5338 for (i = 0; i < dim; ++i) {
5339 int j = isl_basic_map_alloc_equality(
5340 (struct isl_basic_map *)bset);
5343 isl_seq_clr(bset->eq[j], 1 + isl_basic_set_total_dim(bset));
5344 isl_int_set_si(bset->eq[j][1+nparam+i], 1);
5345 isl_int_set_si(bset->eq[j][1+nparam+dim+i], 1);
5346 isl_int_set_si(bset->eq[j][1+nparam+2*dim+i], -1);
5348 bset = isl_basic_set_project_out(bset, isl_dim_set, dim, 2*dim);
5349 bset = isl_basic_set_reset_dim(bset, target_dim);
5352 isl_basic_map_free(bmap);
5357 * returns range - domain
5359 struct isl_set *isl_map_deltas(struct isl_map *map)
5363 struct isl_set *result;
5368 isl_assert(map->ctx, isl_dim_tuple_match(map->dim, isl_dim_in,
5369 map->dim, isl_dim_out),
5371 dim = isl_map_get_dim(map);
5372 dim = isl_dim_domain(dim);
5373 result = isl_set_alloc_dim(dim, map->n, map->flags);
5376 for (i = 0; i < map->n; ++i)
5377 result = isl_set_add_basic_set(result,
5378 isl_basic_map_deltas(isl_basic_map_copy(map->p[i])));
5386 static struct isl_basic_map *basic_map_identity(struct isl_dim *dims)
5388 struct isl_basic_map *bmap;
5396 nparam = dims->nparam;
5398 bmap = isl_basic_map_alloc_dim(dims, 0, dim, 0);
5402 for (i = 0; i < dim; ++i) {
5403 int j = isl_basic_map_alloc_equality(bmap);
5406 isl_seq_clr(bmap->eq[j], 1 + isl_basic_map_total_dim(bmap));
5407 isl_int_set_si(bmap->eq[j][1+nparam+i], 1);
5408 isl_int_set_si(bmap->eq[j][1+nparam+dim+i], -1);
5410 return isl_basic_map_finalize(bmap);
5412 isl_basic_map_free(bmap);
5416 struct isl_basic_map *isl_basic_map_identity(struct isl_dim *set_dim)
5418 struct isl_dim *dim = isl_dim_map(set_dim);
5421 return basic_map_identity(dim);
5424 struct isl_basic_map *isl_basic_map_identity_like(struct isl_basic_map *model)
5426 if (!model || !model->dim)
5428 isl_assert(model->ctx,
5429 model->dim->n_in == model->dim->n_out, return NULL);
5430 return basic_map_identity(isl_dim_copy(model->dim));
5433 static struct isl_map *map_identity(struct isl_dim *dim)
5435 struct isl_map *map = isl_map_alloc_dim(dim, 1, ISL_MAP_DISJOINT);
5436 return isl_map_add_basic_map(map, basic_map_identity(isl_dim_copy(dim)));
5439 struct isl_map *isl_map_identity(struct isl_dim *set_dim)
5441 struct isl_dim *dim = isl_dim_map(set_dim);
5444 return map_identity(dim);
5447 struct isl_map *isl_map_identity_like(struct isl_map *model)
5449 if (!model || !model->dim)
5451 isl_assert(model->ctx,
5452 model->dim->n_in == model->dim->n_out, return NULL);
5453 return map_identity(isl_dim_copy(model->dim));
5456 struct isl_map *isl_map_identity_like_basic_map(struct isl_basic_map *model)
5458 if (!model || !model->dim)
5460 isl_assert(model->ctx,
5461 model->dim->n_in == model->dim->n_out, return NULL);
5462 return map_identity(isl_dim_copy(model->dim));
5465 /* Construct a basic set with all set dimensions having only non-negative
5468 struct isl_basic_set *isl_basic_set_positive_orthant(struct isl_dim *dims)
5473 struct isl_basic_set *bset;
5477 nparam = dims->nparam;
5479 bset = isl_basic_set_alloc_dim(dims, 0, 0, dim);
5482 for (i = 0; i < dim; ++i) {
5483 int k = isl_basic_set_alloc_inequality(bset);
5486 isl_seq_clr(bset->ineq[k], 1 + isl_basic_set_total_dim(bset));
5487 isl_int_set_si(bset->ineq[k][1 + nparam + i], 1);
5491 isl_basic_set_free(bset);
5495 __isl_give isl_set *isl_set_split_dims(__isl_take isl_set *set,
5496 enum isl_dim_type type, unsigned first, unsigned n)
5499 isl_basic_set *nonneg = NULL;
5500 isl_basic_set *neg = NULL;
5507 isl_assert(set->ctx, first + n <= isl_set_dim(set, type), goto error);
5509 for (i = 0; i < n; ++i) {
5513 nonneg = isl_basic_set_alloc_dim(isl_set_get_dim(set), 0, 0, 1);
5514 k = isl_basic_set_alloc_inequality(nonneg);
5517 isl_seq_clr(nonneg->ineq[k], 1 + isl_basic_set_total_dim(nonneg));
5518 isl_int_set_si(nonneg->ineq[k][pos(set->dim, type) + first + i], 1);
5520 neg = isl_basic_set_alloc_dim(isl_set_get_dim(set), 0, 0, 1);
5521 k = isl_basic_set_alloc_inequality(neg);
5524 isl_seq_clr(neg->ineq[k], 1 + isl_basic_set_total_dim(neg));
5525 isl_int_set_si(neg->ineq[k][0], -1);
5526 isl_int_set_si(neg->ineq[k][pos(set->dim, type) + first + i], -1);
5528 set = isl_set_intersect(set, isl_basic_set_union(nonneg, neg));
5533 isl_basic_set_free(nonneg);
5534 isl_basic_set_free(neg);
5539 int isl_set_is_equal(struct isl_set *set1, struct isl_set *set2)
5541 return isl_map_is_equal((struct isl_map *)set1, (struct isl_map *)set2);
5544 int isl_basic_map_is_subset(
5545 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
5548 struct isl_map *map1;
5549 struct isl_map *map2;
5551 if (!bmap1 || !bmap2)
5554 map1 = isl_map_from_basic_map(isl_basic_map_copy(bmap1));
5555 map2 = isl_map_from_basic_map(isl_basic_map_copy(bmap2));
5557 is_subset = isl_map_is_subset(map1, map2);
5565 int isl_basic_map_is_equal(
5566 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
5570 if (!bmap1 || !bmap2)
5572 is_subset = isl_basic_map_is_subset(bmap1, bmap2);
5575 is_subset = isl_basic_map_is_subset(bmap2, bmap1);
5579 int isl_basic_set_is_equal(
5580 struct isl_basic_set *bset1, struct isl_basic_set *bset2)
5582 return isl_basic_map_is_equal(
5583 (struct isl_basic_map *)bset1, (struct isl_basic_map *)bset2);
5586 int isl_map_is_empty(struct isl_map *map)
5593 for (i = 0; i < map->n; ++i) {
5594 is_empty = isl_basic_map_is_empty(map->p[i]);
5603 int isl_map_fast_is_empty(struct isl_map *map)
5605 return map ? map->n == 0 : -1;
5608 int isl_set_fast_is_empty(struct isl_set *set)
5610 return set ? set->n == 0 : -1;
5613 int isl_set_is_empty(struct isl_set *set)
5615 return isl_map_is_empty((struct isl_map *)set);
5618 int isl_map_has_equal_dim(__isl_keep isl_map *map1, __isl_keep isl_map *map2)
5623 return isl_dim_equal(map1->dim, map2->dim);
5626 int isl_set_has_equal_dim(__isl_keep isl_set *set1, __isl_keep isl_set *set2)
5631 return isl_dim_equal(set1->dim, set2->dim);
5634 int isl_map_is_equal(struct isl_map *map1, struct isl_map *map2)
5640 is_subset = isl_map_is_subset(map1, map2);
5643 is_subset = isl_map_is_subset(map2, map1);
5647 int isl_basic_map_is_strict_subset(
5648 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
5652 if (!bmap1 || !bmap2)
5654 is_subset = isl_basic_map_is_subset(bmap1, bmap2);
5657 is_subset = isl_basic_map_is_subset(bmap2, bmap1);
5658 if (is_subset == -1)
5663 int isl_map_is_strict_subset(struct isl_map *map1, struct isl_map *map2)
5669 is_subset = isl_map_is_subset(map1, map2);
5672 is_subset = isl_map_is_subset(map2, map1);
5673 if (is_subset == -1)
5678 int isl_set_is_strict_subset(__isl_keep isl_set *set1, __isl_keep isl_set *set2)
5680 return isl_map_is_strict_subset((isl_map *)set1, (isl_map *)set2);
5683 int isl_basic_map_is_universe(struct isl_basic_map *bmap)
5687 return bmap->n_eq == 0 && bmap->n_ineq == 0;
5690 int isl_basic_set_is_universe(struct isl_basic_set *bset)
5694 return bset->n_eq == 0 && bset->n_ineq == 0;
5697 int isl_map_fast_is_universe(__isl_keep isl_map *map)
5704 for (i = 0; i < map->n; ++i) {
5705 int r = isl_basic_map_is_universe(map->p[i]);
5713 int isl_set_fast_is_universe(__isl_keep isl_set *set)
5715 return isl_map_fast_is_universe((isl_map *) set);
5718 int isl_basic_map_is_empty(struct isl_basic_map *bmap)
5720 struct isl_basic_set *bset = NULL;
5721 struct isl_vec *sample = NULL;
5728 if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_EMPTY))
5731 if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL)) {
5732 struct isl_basic_map *copy = isl_basic_map_copy(bmap);
5733 copy = isl_basic_map_remove_redundancies(copy);
5734 empty = ISL_F_ISSET(copy, ISL_BASIC_MAP_EMPTY);
5735 isl_basic_map_free(copy);
5739 total = 1 + isl_basic_map_total_dim(bmap);
5740 if (bmap->sample && bmap->sample->size == total) {
5741 int contains = isl_basic_map_contains(bmap, bmap->sample);
5747 isl_vec_free(bmap->sample);
5748 bmap->sample = NULL;
5749 bset = isl_basic_map_underlying_set(isl_basic_map_copy(bmap));
5752 sample = isl_basic_set_sample_vec(bset);
5755 empty = sample->size == 0;
5756 isl_vec_free(bmap->sample);
5757 bmap->sample = sample;
5759 ISL_F_SET(bmap, ISL_BASIC_MAP_EMPTY);
5764 int isl_basic_map_fast_is_empty(struct isl_basic_map *bmap)
5768 return ISL_F_ISSET(bmap, ISL_BASIC_MAP_EMPTY);
5771 int isl_basic_set_fast_is_empty(struct isl_basic_set *bset)
5775 return ISL_F_ISSET(bset, ISL_BASIC_SET_EMPTY);
5778 int isl_basic_set_is_empty(struct isl_basic_set *bset)
5780 return isl_basic_map_is_empty((struct isl_basic_map *)bset);
5783 struct isl_map *isl_basic_map_union(
5784 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
5786 struct isl_map *map;
5787 if (!bmap1 || !bmap2)
5790 isl_assert(bmap1->ctx, isl_dim_equal(bmap1->dim, bmap2->dim), goto error);
5792 map = isl_map_alloc_dim(isl_dim_copy(bmap1->dim), 2, 0);
5795 map = isl_map_add_basic_map(map, bmap1);
5796 map = isl_map_add_basic_map(map, bmap2);
5799 isl_basic_map_free(bmap1);
5800 isl_basic_map_free(bmap2);
5804 struct isl_set *isl_basic_set_union(
5805 struct isl_basic_set *bset1, struct isl_basic_set *bset2)
5807 return (struct isl_set *)isl_basic_map_union(
5808 (struct isl_basic_map *)bset1,
5809 (struct isl_basic_map *)bset2);
5812 /* Order divs such that any div only depends on previous divs */
5813 struct isl_basic_map *isl_basic_map_order_divs(struct isl_basic_map *bmap)
5821 off = isl_dim_total(bmap->dim);
5823 for (i = 0; i < bmap->n_div; ++i) {
5825 if (isl_int_is_zero(bmap->div[i][0]))
5827 pos = isl_seq_first_non_zero(bmap->div[i]+1+1+off+i,
5831 isl_basic_map_swap_div(bmap, i, i + pos);
5837 struct isl_basic_set *isl_basic_set_order_divs(struct isl_basic_set *bset)
5839 return (struct isl_basic_set *)
5840 isl_basic_map_order_divs((struct isl_basic_map *)bset);
5843 __isl_give isl_map *isl_map_order_divs(__isl_take isl_map *map)
5850 for (i = 0; i < map->n; ++i) {
5851 map->p[i] = isl_basic_map_order_divs(map->p[i]);
5862 /* Look for a div in dst that corresponds to the div "div" in src.
5863 * The divs before "div" in src and dst are assumed to be the same.
5865 * Returns -1 if no corresponding div was found and the position
5866 * of the corresponding div in dst otherwise.
5868 static int find_div(struct isl_basic_map *dst,
5869 struct isl_basic_map *src, unsigned div)
5873 unsigned total = isl_dim_total(src->dim);
5875 isl_assert(dst->ctx, div <= dst->n_div, return -1);
5876 for (i = div; i < dst->n_div; ++i)
5877 if (isl_seq_eq(dst->div[i], src->div[div], 1+1+total+div) &&
5878 isl_seq_first_non_zero(dst->div[i]+1+1+total+div,
5879 dst->n_div - div) == -1)
5884 struct isl_basic_map *isl_basic_map_align_divs(
5885 struct isl_basic_map *dst, struct isl_basic_map *src)
5888 unsigned total = isl_dim_total(src->dim);
5893 if (src->n_div == 0)
5896 for (i = 0; i < src->n_div; ++i)
5897 isl_assert(src->ctx, !isl_int_is_zero(src->div[i][0]), goto error);
5899 src = isl_basic_map_order_divs(src);
5900 dst = isl_basic_map_cow(dst);
5901 dst = isl_basic_map_extend_dim(dst, isl_dim_copy(dst->dim),
5902 src->n_div, 0, 2 * src->n_div);
5905 for (i = 0; i < src->n_div; ++i) {
5906 int j = find_div(dst, src, i);
5908 j = isl_basic_map_alloc_div(dst);
5911 isl_seq_cpy(dst->div[j], src->div[i], 1+1+total+i);
5912 isl_seq_clr(dst->div[j]+1+1+total+i, dst->n_div - i);
5913 if (isl_basic_map_add_div_constraints(dst, j) < 0)
5917 isl_basic_map_swap_div(dst, i, j);
5921 isl_basic_map_free(dst);
5925 struct isl_basic_set *isl_basic_set_align_divs(
5926 struct isl_basic_set *dst, struct isl_basic_set *src)
5928 return (struct isl_basic_set *)isl_basic_map_align_divs(
5929 (struct isl_basic_map *)dst, (struct isl_basic_map *)src);
5932 struct isl_map *isl_map_align_divs(struct isl_map *map)
5940 map = isl_map_compute_divs(map);
5941 map = isl_map_cow(map);
5945 for (i = 1; i < map->n; ++i)
5946 map->p[0] = isl_basic_map_align_divs(map->p[0], map->p[i]);
5947 for (i = 1; i < map->n; ++i)
5948 map->p[i] = isl_basic_map_align_divs(map->p[i], map->p[0]);
5950 ISL_F_CLR(map, ISL_MAP_NORMALIZED);
5954 struct isl_set *isl_set_align_divs(struct isl_set *set)
5956 return (struct isl_set *)isl_map_align_divs((struct isl_map *)set);
5959 struct isl_set *isl_set_apply(struct isl_set *set, struct isl_map *map)
5963 isl_assert(set->ctx, isl_map_compatible_domain(map, set), goto error);
5964 map = isl_map_intersect_domain(map, set);
5965 set = isl_map_range(map);
5973 /* There is no need to cow as removing empty parts doesn't change
5974 * the meaning of the set.
5976 struct isl_map *isl_map_remove_empty_parts(struct isl_map *map)
5983 for (i = map->n-1; i >= 0; --i) {
5984 if (!ISL_F_ISSET(map->p[i], ISL_BASIC_MAP_EMPTY))
5986 isl_basic_map_free(map->p[i]);
5987 if (i != map->n-1) {
5988 ISL_F_CLR(map, ISL_MAP_NORMALIZED);
5989 map->p[i] = map->p[map->n-1];
5997 struct isl_set *isl_set_remove_empty_parts(struct isl_set *set)
5999 return (struct isl_set *)
6000 isl_map_remove_empty_parts((struct isl_map *)set);
6003 struct isl_basic_map *isl_map_copy_basic_map(struct isl_map *map)
6005 struct isl_basic_map *bmap;
6006 if (!map || map->n == 0)
6008 bmap = map->p[map->n-1];
6009 isl_assert(map->ctx, ISL_F_ISSET(bmap, ISL_BASIC_SET_FINAL), return NULL);
6010 return isl_basic_map_copy(bmap);
6013 struct isl_basic_set *isl_set_copy_basic_set(struct isl_set *set)
6015 return (struct isl_basic_set *)
6016 isl_map_copy_basic_map((struct isl_map *)set);
6019 __isl_give isl_map *isl_map_drop_basic_map(__isl_take isl_map *map,
6020 __isl_keep isl_basic_map *bmap)
6026 for (i = map->n-1; i >= 0; --i) {
6027 if (map->p[i] != bmap)
6029 map = isl_map_cow(map);
6032 isl_basic_map_free(map->p[i]);
6033 if (i != map->n-1) {
6034 ISL_F_CLR(map, ISL_SET_NORMALIZED);
6035 map->p[i] = map->p[map->n-1];
6046 struct isl_set *isl_set_drop_basic_set(struct isl_set *set,
6047 struct isl_basic_set *bset)
6049 return (struct isl_set *)isl_map_drop_basic_map((struct isl_map *)set,
6050 (struct isl_basic_map *)bset);
6053 /* Given two basic sets bset1 and bset2, compute the maximal difference
6054 * between the values of dimension pos in bset1 and those in bset2
6055 * for any common value of the parameters and dimensions preceding pos.
6057 static enum isl_lp_result basic_set_maximal_difference_at(
6058 __isl_keep isl_basic_set *bset1, __isl_keep isl_basic_set *bset2,
6059 int pos, isl_int *opt)
6061 struct isl_dim *dims;
6062 struct isl_basic_map *bmap1 = NULL;
6063 struct isl_basic_map *bmap2 = NULL;
6064 struct isl_ctx *ctx;
6065 struct isl_vec *obj;
6068 unsigned dim1, dim2;
6069 enum isl_lp_result res;
6071 if (!bset1 || !bset2)
6072 return isl_lp_error;
6074 nparam = isl_basic_set_n_param(bset1);
6075 dim1 = isl_basic_set_n_dim(bset1);
6076 dim2 = isl_basic_set_n_dim(bset2);
6077 dims = isl_dim_alloc(bset1->ctx, nparam, pos, dim1 - pos);
6078 bmap1 = isl_basic_map_from_basic_set(isl_basic_set_copy(bset1), dims);
6079 dims = isl_dim_alloc(bset2->ctx, nparam, pos, dim2 - pos);
6080 bmap2 = isl_basic_map_from_basic_set(isl_basic_set_copy(bset2), dims);
6081 if (!bmap1 || !bmap2)
6083 bmap1 = isl_basic_map_cow(bmap1);
6084 bmap1 = isl_basic_map_extend(bmap1, nparam,
6085 pos, (dim1 - pos) + (dim2 - pos),
6086 bmap2->n_div, bmap2->n_eq, bmap2->n_ineq);
6087 bmap1 = add_constraints(bmap1, bmap2, 0, dim1 - pos);
6090 total = isl_basic_map_total_dim(bmap1);
6092 obj = isl_vec_alloc(ctx, 1 + total);
6093 isl_seq_clr(obj->block.data, 1 + total);
6094 isl_int_set_si(obj->block.data[1+nparam+pos], 1);
6095 isl_int_set_si(obj->block.data[1+nparam+pos+(dim1-pos)], -1);
6098 res = isl_basic_map_solve_lp(bmap1, 1, obj->block.data, ctx->one,
6100 isl_basic_map_free(bmap1);
6104 isl_basic_map_free(bmap1);
6105 isl_basic_map_free(bmap2);
6106 return isl_lp_error;
6109 /* Given two _disjoint_ basic sets bset1 and bset2, check whether
6110 * for any common value of the parameters and dimensions preceding pos
6111 * in both basic sets, the values of dimension pos in bset1 are
6112 * smaller or larger than those in bset2.
6115 * 1 if bset1 follows bset2
6116 * -1 if bset1 precedes bset2
6117 * 0 if bset1 and bset2 are incomparable
6118 * -2 if some error occurred.
6120 int isl_basic_set_compare_at(struct isl_basic_set *bset1,
6121 struct isl_basic_set *bset2, int pos)
6124 enum isl_lp_result res;
6129 res = basic_set_maximal_difference_at(bset1, bset2, pos, &opt);
6131 if (res == isl_lp_empty)
6133 else if ((res == isl_lp_ok && isl_int_is_pos(opt)) ||
6134 res == isl_lp_unbounded)
6136 else if (res == isl_lp_ok && isl_int_is_neg(opt))
6145 /* Given two basic sets bset1 and bset2, check whether
6146 * for any common value of the parameters and dimensions preceding pos
6147 * there is a value of dimension pos in bset1 that is larger
6148 * than a value of the same dimension in bset2.
6151 * 1 if there exists such a pair
6152 * 0 if there is no such pair, but there is a pair of equal values
6154 * -2 if some error occurred.
6156 int isl_basic_set_follows_at(__isl_keep isl_basic_set *bset1,
6157 __isl_keep isl_basic_set *bset2, int pos)
6160 enum isl_lp_result res;
6165 res = basic_set_maximal_difference_at(bset1, bset2, pos, &opt);
6167 if (res == isl_lp_empty)
6169 else if ((res == isl_lp_ok && isl_int_is_pos(opt)) ||
6170 res == isl_lp_unbounded)
6172 else if (res == isl_lp_ok && isl_int_is_neg(opt))
6174 else if (res == isl_lp_ok)
6183 /* Given two sets set1 and set2, check whether
6184 * for any common value of the parameters and dimensions preceding pos
6185 * there is a value of dimension pos in set1 that is larger
6186 * than a value of the same dimension in set2.
6189 * 1 if there exists such a pair
6190 * 0 if there is no such pair, but there is a pair of equal values
6192 * -2 if some error occurred.
6194 int isl_set_follows_at(__isl_keep isl_set *set1,
6195 __isl_keep isl_set *set2, int pos)
6203 for (i = 0; i < set1->n; ++i)
6204 for (j = 0; j < set2->n; ++j) {
6206 f = isl_basic_set_follows_at(set1->p[i], set2->p[j], pos);
6207 if (f == 1 || f == -2)
6216 static int isl_basic_map_fast_has_fixed_var(struct isl_basic_map *bmap,
6217 unsigned pos, isl_int *val)
6225 total = isl_basic_map_total_dim(bmap);
6226 for (i = 0, d = total-1; i < bmap->n_eq && d+1 > pos; ++i) {
6227 for (; d+1 > pos; --d)
6228 if (!isl_int_is_zero(bmap->eq[i][1+d]))
6232 if (isl_seq_first_non_zero(bmap->eq[i]+1, d) != -1)
6234 if (isl_seq_first_non_zero(bmap->eq[i]+1+d+1, total-d-1) != -1)
6236 if (!isl_int_is_one(bmap->eq[i][1+d]))
6239 isl_int_neg(*val, bmap->eq[i][0]);
6245 static int isl_map_fast_has_fixed_var(struct isl_map *map,
6246 unsigned pos, isl_int *val)
6258 return isl_basic_map_fast_has_fixed_var(map->p[0], pos, val);
6261 fixed = isl_basic_map_fast_has_fixed_var(map->p[0], pos, &v);
6262 for (i = 1; fixed == 1 && i < map->n; ++i) {
6263 fixed = isl_basic_map_fast_has_fixed_var(map->p[i], pos, &tmp);
6264 if (fixed == 1 && isl_int_ne(tmp, v))
6268 isl_int_set(*val, v);
6274 static int isl_basic_set_fast_has_fixed_var(struct isl_basic_set *bset,
6275 unsigned pos, isl_int *val)
6277 return isl_basic_map_fast_has_fixed_var((struct isl_basic_map *)bset,
6281 static int isl_set_fast_has_fixed_var(struct isl_set *set, unsigned pos,
6284 return isl_map_fast_has_fixed_var((struct isl_map *)set, pos, val);
6287 int isl_basic_map_fast_is_fixed(struct isl_basic_map *bmap,
6288 enum isl_dim_type type, unsigned pos, isl_int *val)
6290 if (pos >= isl_basic_map_dim(bmap, type))
6292 return isl_basic_map_fast_has_fixed_var(bmap,
6293 isl_basic_map_offset(bmap, type) - 1 + pos, val);
6296 int isl_map_fast_is_fixed(struct isl_map *map,
6297 enum isl_dim_type type, unsigned pos, isl_int *val)
6299 if (pos >= isl_map_dim(map, type))
6301 return isl_map_fast_has_fixed_var(map,
6302 map_offset(map, type) - 1 + pos, val);
6305 /* Check if dimension dim has fixed value and if so and if val is not NULL,
6306 * then return this fixed value in *val.
6308 int isl_basic_set_fast_dim_is_fixed(struct isl_basic_set *bset, unsigned dim,
6311 return isl_basic_set_fast_has_fixed_var(bset,
6312 isl_basic_set_n_param(bset) + dim, val);
6315 /* Check if dimension dim has fixed value and if so and if val is not NULL,
6316 * then return this fixed value in *val.
6318 int isl_set_fast_dim_is_fixed(struct isl_set *set, unsigned dim, isl_int *val)
6320 return isl_set_fast_has_fixed_var(set, isl_set_n_param(set) + dim, val);
6323 /* Check if input variable in has fixed value and if so and if val is not NULL,
6324 * then return this fixed value in *val.
6326 int isl_map_fast_input_is_fixed(struct isl_map *map, unsigned in, isl_int *val)
6328 return isl_map_fast_has_fixed_var(map, isl_map_n_param(map) + in, val);
6331 /* Check if dimension dim has an (obvious) fixed lower bound and if so
6332 * and if val is not NULL, then return this lower bound in *val.
6334 int isl_basic_set_fast_dim_has_fixed_lower_bound(struct isl_basic_set *bset,
6335 unsigned dim, isl_int *val)
6337 int i, i_eq = -1, i_ineq = -1;
6344 total = isl_basic_set_total_dim(bset);
6345 nparam = isl_basic_set_n_param(bset);
6346 for (i = 0; i < bset->n_eq; ++i) {
6347 if (isl_int_is_zero(bset->eq[i][1+nparam+dim]))
6353 for (i = 0; i < bset->n_ineq; ++i) {
6354 if (!isl_int_is_pos(bset->ineq[i][1+nparam+dim]))
6356 if (i_eq != -1 || i_ineq != -1)
6360 if (i_eq == -1 && i_ineq == -1)
6362 c = i_eq != -1 ? bset->eq[i_eq] : bset->ineq[i_ineq];
6363 /* The coefficient should always be one due to normalization. */
6364 if (!isl_int_is_one(c[1+nparam+dim]))
6366 if (isl_seq_first_non_zero(c+1, nparam+dim) != -1)
6368 if (isl_seq_first_non_zero(c+1+nparam+dim+1,
6369 total - nparam - dim - 1) != -1)
6372 isl_int_neg(*val, c[0]);
6376 int isl_set_fast_dim_has_fixed_lower_bound(struct isl_set *set,
6377 unsigned dim, isl_int *val)
6389 return isl_basic_set_fast_dim_has_fixed_lower_bound(set->p[0],
6393 fixed = isl_basic_set_fast_dim_has_fixed_lower_bound(set->p[0],
6395 for (i = 1; fixed == 1 && i < set->n; ++i) {
6396 fixed = isl_basic_set_fast_dim_has_fixed_lower_bound(set->p[i],
6398 if (fixed == 1 && isl_int_ne(tmp, v))
6402 isl_int_set(*val, v);
6413 static int qsort_constraint_cmp(const void *p1, const void *p2)
6415 const struct constraint *c1 = (const struct constraint *)p1;
6416 const struct constraint *c2 = (const struct constraint *)p2;
6417 unsigned size = isl_min(c1->size, c2->size);
6418 return isl_seq_cmp(c1->c, c2->c, size);
6421 static struct isl_basic_map *isl_basic_map_sort_constraints(
6422 struct isl_basic_map *bmap)
6425 struct constraint *c;
6430 total = isl_basic_map_total_dim(bmap);
6431 c = isl_alloc_array(bmap->ctx, struct constraint, bmap->n_ineq);
6434 for (i = 0; i < bmap->n_ineq; ++i) {
6436 c[i].c = bmap->ineq[i];
6438 qsort(c, bmap->n_ineq, sizeof(struct constraint), qsort_constraint_cmp);
6439 for (i = 0; i < bmap->n_ineq; ++i)
6440 bmap->ineq[i] = c[i].c;
6444 isl_basic_map_free(bmap);
6448 __isl_give isl_basic_set *isl_basic_set_sort_constraints(
6449 __isl_take isl_basic_set *bset)
6451 return (struct isl_basic_set *)isl_basic_map_sort_constraints(
6452 (struct isl_basic_map *)bset);
6455 struct isl_basic_map *isl_basic_map_normalize(struct isl_basic_map *bmap)
6459 if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_NORMALIZED))
6461 bmap = isl_basic_map_remove_redundancies(bmap);
6462 bmap = isl_basic_map_sort_constraints(bmap);
6463 ISL_F_SET(bmap, ISL_BASIC_MAP_NORMALIZED);
6467 struct isl_basic_set *isl_basic_set_normalize(struct isl_basic_set *bset)
6469 return (struct isl_basic_set *)isl_basic_map_normalize(
6470 (struct isl_basic_map *)bset);
6473 int isl_basic_map_fast_cmp(const __isl_keep isl_basic_map *bmap1,
6474 const __isl_keep isl_basic_map *bmap2)
6481 if (isl_basic_map_n_param(bmap1) != isl_basic_map_n_param(bmap2))
6482 return isl_basic_map_n_param(bmap1) - isl_basic_map_n_param(bmap2);
6483 if (isl_basic_map_n_in(bmap1) != isl_basic_map_n_in(bmap2))
6484 return isl_basic_map_n_out(bmap1) - isl_basic_map_n_out(bmap2);
6485 if (isl_basic_map_n_out(bmap1) != isl_basic_map_n_out(bmap2))
6486 return isl_basic_map_n_out(bmap1) - isl_basic_map_n_out(bmap2);
6487 if (ISL_F_ISSET(bmap1, ISL_BASIC_MAP_EMPTY) &&
6488 ISL_F_ISSET(bmap2, ISL_BASIC_MAP_EMPTY))
6490 if (ISL_F_ISSET(bmap1, ISL_BASIC_MAP_EMPTY))
6492 if (ISL_F_ISSET(bmap2, ISL_BASIC_MAP_EMPTY))
6494 if (bmap1->n_eq != bmap2->n_eq)
6495 return bmap1->n_eq - bmap2->n_eq;
6496 if (bmap1->n_ineq != bmap2->n_ineq)
6497 return bmap1->n_ineq - bmap2->n_ineq;
6498 if (bmap1->n_div != bmap2->n_div)
6499 return bmap1->n_div - bmap2->n_div;
6500 total = isl_basic_map_total_dim(bmap1);
6501 for (i = 0; i < bmap1->n_eq; ++i) {
6502 cmp = isl_seq_cmp(bmap1->eq[i], bmap2->eq[i], 1+total);
6506 for (i = 0; i < bmap1->n_ineq; ++i) {
6507 cmp = isl_seq_cmp(bmap1->ineq[i], bmap2->ineq[i], 1+total);
6511 for (i = 0; i < bmap1->n_div; ++i) {
6512 cmp = isl_seq_cmp(bmap1->div[i], bmap2->div[i], 1+1+total);
6519 int isl_basic_map_fast_is_equal(__isl_keep isl_basic_map *bmap1,
6520 __isl_keep isl_basic_map *bmap2)
6522 return isl_basic_map_fast_cmp(bmap1, bmap2) == 0;
6525 int isl_basic_set_fast_is_equal(__isl_keep isl_basic_set *bset1,
6526 __isl_keep isl_basic_set *bset2)
6528 return isl_basic_map_fast_is_equal((isl_basic_map *)bset1,
6529 (isl_basic_map *)bset2);
6532 static int qsort_bmap_cmp(const void *p1, const void *p2)
6534 const struct isl_basic_map *bmap1 = *(const struct isl_basic_map **)p1;
6535 const struct isl_basic_map *bmap2 = *(const struct isl_basic_map **)p2;
6537 return isl_basic_map_fast_cmp(bmap1, bmap2);
6540 /* We normalize in place, but if anything goes wrong we need
6541 * to return NULL, so we need to make sure we don't change the
6542 * meaning of any possible other copies of map.
6544 struct isl_map *isl_map_normalize(struct isl_map *map)
6547 struct isl_basic_map *bmap;
6551 if (ISL_F_ISSET(map, ISL_MAP_NORMALIZED))
6553 for (i = 0; i < map->n; ++i) {
6554 bmap = isl_basic_map_normalize(isl_basic_map_copy(map->p[i]));
6557 isl_basic_map_free(map->p[i]);
6560 qsort(map->p, map->n, sizeof(struct isl_basic_map *), qsort_bmap_cmp);
6561 ISL_F_SET(map, ISL_MAP_NORMALIZED);
6562 map = isl_map_remove_empty_parts(map);
6565 for (i = map->n - 1; i >= 1; --i) {
6566 if (!isl_basic_map_fast_is_equal(map->p[i-1], map->p[i]))
6568 isl_basic_map_free(map->p[i-1]);
6569 for (j = i; j < map->n; ++j)
6570 map->p[j-1] = map->p[j];
6580 struct isl_set *isl_set_normalize(struct isl_set *set)
6582 return (struct isl_set *)isl_map_normalize((struct isl_map *)set);
6585 int isl_map_fast_is_equal(struct isl_map *map1, struct isl_map *map2)
6595 if (!isl_dim_equal(map1->dim, map2->dim))
6598 map1 = isl_map_copy(map1);
6599 map2 = isl_map_copy(map2);
6600 map1 = isl_map_normalize(map1);
6601 map2 = isl_map_normalize(map2);
6604 equal = map1->n == map2->n;
6605 for (i = 0; equal && i < map1->n; ++i) {
6606 equal = isl_basic_map_fast_is_equal(map1->p[i], map2->p[i]);
6619 int isl_set_fast_is_equal(struct isl_set *set1, struct isl_set *set2)
6621 return isl_map_fast_is_equal((struct isl_map *)set1,
6622 (struct isl_map *)set2);
6625 /* Return an interval that ranges from min to max (inclusive)
6627 struct isl_basic_set *isl_basic_set_interval(struct isl_ctx *ctx,
6628 isl_int min, isl_int max)
6631 struct isl_basic_set *bset = NULL;
6633 bset = isl_basic_set_alloc(ctx, 0, 1, 0, 0, 2);
6637 k = isl_basic_set_alloc_inequality(bset);
6640 isl_int_set_si(bset->ineq[k][1], 1);
6641 isl_int_neg(bset->ineq[k][0], min);
6643 k = isl_basic_set_alloc_inequality(bset);
6646 isl_int_set_si(bset->ineq[k][1], -1);
6647 isl_int_set(bset->ineq[k][0], max);
6651 isl_basic_set_free(bset);
6655 /* Return the Cartesian product of the basic sets in list (in the given order).
6657 struct isl_basic_set *isl_basic_set_product(struct isl_basic_set_list *list)
6665 struct isl_basic_set *product = NULL;
6669 isl_assert(list->ctx, list->n > 0, goto error);
6670 isl_assert(list->ctx, list->p[0], goto error);
6671 nparam = isl_basic_set_n_param(list->p[0]);
6672 dim = isl_basic_set_n_dim(list->p[0]);
6673 extra = list->p[0]->n_div;
6674 n_eq = list->p[0]->n_eq;
6675 n_ineq = list->p[0]->n_ineq;
6676 for (i = 1; i < list->n; ++i) {
6677 isl_assert(list->ctx, list->p[i], goto error);
6678 isl_assert(list->ctx,
6679 nparam == isl_basic_set_n_param(list->p[i]), goto error);
6680 dim += isl_basic_set_n_dim(list->p[i]);
6681 extra += list->p[i]->n_div;
6682 n_eq += list->p[i]->n_eq;
6683 n_ineq += list->p[i]->n_ineq;
6685 product = isl_basic_set_alloc(list->ctx, nparam, dim, extra,
6690 for (i = 0; i < list->n; ++i) {
6691 isl_basic_set_add_constraints(product,
6692 isl_basic_set_copy(list->p[i]), dim);
6693 dim += isl_basic_set_n_dim(list->p[i]);
6695 isl_basic_set_list_free(list);
6698 isl_basic_set_free(product);
6699 isl_basic_set_list_free(list);
6703 struct isl_basic_map *isl_basic_map_product(
6704 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
6706 struct isl_dim *dim_result = NULL;
6707 struct isl_basic_map *bmap;
6708 unsigned in1, in2, out1, out2, nparam, total, pos;
6709 struct isl_dim_map *dim_map1, *dim_map2;
6711 if (!bmap1 || !bmap2)
6714 isl_assert(bmap1->ctx, isl_dim_match(bmap1->dim, isl_dim_param,
6715 bmap2->dim, isl_dim_param), goto error);
6716 dim_result = isl_dim_product(isl_dim_copy(bmap1->dim),
6717 isl_dim_copy(bmap2->dim));
6719 in1 = isl_basic_map_n_in(bmap1);
6720 in2 = isl_basic_map_n_in(bmap2);
6721 out1 = isl_basic_map_n_out(bmap1);
6722 out2 = isl_basic_map_n_out(bmap2);
6723 nparam = isl_basic_map_n_param(bmap1);
6725 total = nparam + in1 + in2 + out1 + out2 + bmap1->n_div + bmap2->n_div;
6726 dim_map1 = isl_dim_map_alloc(bmap1->ctx, total);
6727 dim_map2 = isl_dim_map_alloc(bmap1->ctx, total);
6728 isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_param, pos = 0);
6729 isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_param, pos = 0);
6730 isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_in, pos += nparam);
6731 isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_in, pos += in1);
6732 isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_out, pos += in2);
6733 isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_out, pos += out1);
6734 isl_dim_map_div(dim_map1, bmap1, pos += out2);
6735 isl_dim_map_div(dim_map2, bmap2, pos += bmap1->n_div);
6737 bmap = isl_basic_map_alloc_dim(dim_result,
6738 bmap1->n_div + bmap2->n_div,
6739 bmap1->n_eq + bmap2->n_eq,
6740 bmap1->n_ineq + bmap2->n_ineq);
6741 bmap = add_constraints_dim_map(bmap, bmap1, dim_map1);
6742 bmap = add_constraints_dim_map(bmap, bmap2, dim_map2);
6743 bmap = isl_basic_map_simplify(bmap);
6744 return isl_basic_map_finalize(bmap);
6746 isl_basic_map_free(bmap1);
6747 isl_basic_map_free(bmap2);
6751 /* Given two maps A -> B and C -> D, construct a map [A -> C] -> [B -> D]
6753 struct isl_map *isl_map_product(struct isl_map *map1, struct isl_map *map2)
6756 struct isl_map *result;
6762 isl_assert(map1->ctx, isl_dim_match(map1->dim, isl_dim_param,
6763 map2->dim, isl_dim_param), goto error);
6765 if (ISL_F_ISSET(map1, ISL_MAP_DISJOINT) &&
6766 ISL_F_ISSET(map2, ISL_MAP_DISJOINT))
6767 ISL_FL_SET(flags, ISL_MAP_DISJOINT);
6769 result = isl_map_alloc_dim(isl_dim_product(isl_dim_copy(map1->dim),
6770 isl_dim_copy(map2->dim)),
6771 map1->n * map2->n, flags);
6774 for (i = 0; i < map1->n; ++i)
6775 for (j = 0; j < map2->n; ++j) {
6776 struct isl_basic_map *part;
6777 part = isl_basic_map_product(
6778 isl_basic_map_copy(map1->p[i]),
6779 isl_basic_map_copy(map2->p[j]));
6780 if (isl_basic_map_is_empty(part))
6781 isl_basic_map_free(part);
6783 result = isl_map_add_basic_map(result, part);
6796 /* Given two maps A -> B and C -> D, construct a map (A, C) -> (B, D)
6798 __isl_give isl_map *isl_map_flat_product(__isl_take isl_map *map1,
6799 __isl_take isl_map *map2)
6803 prod = isl_map_product(map1, map2);
6804 prod = isl_map_flatten(prod);
6808 /* Given two set A and B, construct its Cartesian product A x B.
6810 struct isl_set *isl_set_product(struct isl_set *set1, struct isl_set *set2)
6812 return (struct isl_set *)isl_map_product((struct isl_map *)set1,
6813 (struct isl_map *)set2);
6816 __isl_give isl_set *isl_set_flat_product(__isl_take isl_set *set1,
6817 __isl_take isl_set *set2)
6819 return (isl_set *)isl_map_flat_product((isl_map *)set1, (isl_map *)set2);
6822 uint32_t isl_basic_set_get_hash(struct isl_basic_set *bset)
6825 uint32_t hash = isl_hash_init();
6830 bset = isl_basic_set_copy(bset);
6831 bset = isl_basic_set_normalize(bset);
6834 total = isl_basic_set_total_dim(bset);
6835 isl_hash_byte(hash, bset->n_eq & 0xFF);
6836 for (i = 0; i < bset->n_eq; ++i) {
6838 c_hash = isl_seq_get_hash(bset->eq[i], 1 + total);
6839 isl_hash_hash(hash, c_hash);
6841 isl_hash_byte(hash, bset->n_ineq & 0xFF);
6842 for (i = 0; i < bset->n_ineq; ++i) {
6844 c_hash = isl_seq_get_hash(bset->ineq[i], 1 + total);
6845 isl_hash_hash(hash, c_hash);
6847 isl_hash_byte(hash, bset->n_div & 0xFF);
6848 for (i = 0; i < bset->n_div; ++i) {
6850 if (isl_int_is_zero(bset->div[i][0]))
6852 isl_hash_byte(hash, i & 0xFF);
6853 c_hash = isl_seq_get_hash(bset->div[i], 1 + 1 + total);
6854 isl_hash_hash(hash, c_hash);
6856 isl_basic_set_free(bset);
6860 uint32_t isl_set_get_hash(struct isl_set *set)
6867 set = isl_set_copy(set);
6868 set = isl_set_normalize(set);
6872 hash = isl_hash_init();
6873 for (i = 0; i < set->n; ++i) {
6875 bset_hash = isl_basic_set_get_hash(set->p[i]);
6876 isl_hash_hash(hash, bset_hash);
6884 /* Check if the value for dimension dim is completely determined
6885 * by the values of the other parameters and variables.
6886 * That is, check if dimension dim is involved in an equality.
6888 int isl_basic_set_dim_is_unique(struct isl_basic_set *bset, unsigned dim)
6895 nparam = isl_basic_set_n_param(bset);
6896 for (i = 0; i < bset->n_eq; ++i)
6897 if (!isl_int_is_zero(bset->eq[i][1 + nparam + dim]))
6902 /* Check if the value for dimension dim is completely determined
6903 * by the values of the other parameters and variables.
6904 * That is, check if dimension dim is involved in an equality
6905 * for each of the subsets.
6907 int isl_set_dim_is_unique(struct isl_set *set, unsigned dim)
6913 for (i = 0; i < set->n; ++i) {
6915 unique = isl_basic_set_dim_is_unique(set->p[i], dim);
6922 int isl_set_n_basic_set(__isl_keep isl_set *set)
6924 return set ? set->n : 0;
6927 int isl_map_foreach_basic_map(__isl_keep isl_map *map,
6928 int (*fn)(__isl_take isl_basic_map *bmap, void *user), void *user)
6935 for (i = 0; i < map->n; ++i)
6936 if (fn(isl_basic_map_copy(map->p[i]), user) < 0)
6942 int isl_set_foreach_basic_set(__isl_keep isl_set *set,
6943 int (*fn)(__isl_take isl_basic_set *bset, void *user), void *user)
6950 for (i = 0; i < set->n; ++i)
6951 if (fn(isl_basic_set_copy(set->p[i]), user) < 0)
6957 __isl_give isl_basic_set *isl_basic_set_lift(__isl_take isl_basic_set *bset)
6959 struct isl_dim *dim;
6964 if (bset->n_div == 0)
6967 bset = isl_basic_set_cow(bset);
6971 dim = isl_basic_set_get_dim(bset);
6972 dim = isl_dim_add(dim, isl_dim_set, bset->n_div);
6975 isl_dim_free(bset->dim);
6979 bset = isl_basic_set_finalize(bset);
6983 isl_basic_set_free(bset);
6987 __isl_give isl_set *isl_set_lift(__isl_take isl_set *set)
6990 struct isl_dim *dim;
6993 set = isl_set_align_divs(set);
6997 if (set->n == 0 || set->p[0]->n_div == 0)
7000 set = isl_set_cow(set);
7004 n_div = set->p[0]->n_div;
7005 dim = isl_set_get_dim(set);
7006 dim = isl_dim_add(dim, isl_dim_set, n_div);
7009 isl_dim_free(set->dim);
7012 for (i = 0; i < set->n; ++i) {
7013 set->p[i] = isl_basic_set_lift(set->p[i]);
7024 __isl_give isl_map *isl_set_lifting(__isl_take isl_set *set)
7026 struct isl_dim *dim;
7027 struct isl_basic_map *bmap;
7034 set = isl_set_align_divs(set);
7039 dim = isl_set_get_dim(set);
7040 if (set->n == 0 || set->p[0]->n_div == 0) {
7042 return isl_map_identity(dim);
7045 n_div = set->p[0]->n_div;
7046 dim = isl_dim_map(dim);
7047 n_param = isl_dim_size(dim, isl_dim_param);
7048 n_set = isl_dim_size(dim, isl_dim_in);
7049 dim = isl_dim_extend(dim, n_param, n_set, n_set + n_div);
7050 bmap = isl_basic_map_alloc_dim(dim, 0, n_set, 2 * n_div);
7051 for (i = 0; i < n_set; ++i)
7052 bmap = var_equal(bmap, i);
7054 total = n_param + n_set + n_set + n_div;
7055 for (i = 0; i < n_div; ++i) {
7056 k = isl_basic_map_alloc_inequality(bmap);
7059 isl_seq_cpy(bmap->ineq[k], set->p[0]->div[i]+1, 1+n_param);
7060 isl_seq_clr(bmap->ineq[k]+1+n_param, n_set);
7061 isl_seq_cpy(bmap->ineq[k]+1+n_param+n_set,
7062 set->p[0]->div[i]+1+1+n_param, n_set + n_div);
7063 isl_int_neg(bmap->ineq[k][1+n_param+n_set+n_set+i],
7064 set->p[0]->div[i][0]);
7066 l = isl_basic_map_alloc_inequality(bmap);
7069 isl_seq_neg(bmap->ineq[l], bmap->ineq[k], 1 + total);
7070 isl_int_add(bmap->ineq[l][0], bmap->ineq[l][0],
7071 set->p[0]->div[i][0]);
7072 isl_int_sub_ui(bmap->ineq[l][0], bmap->ineq[l][0], 1);
7076 return isl_map_from_basic_map(bmap);
7079 isl_basic_map_free(bmap);
7083 int isl_basic_set_size(__isl_keep isl_basic_set *bset)
7091 dim = isl_basic_set_total_dim(bset);
7092 size += bset->n_eq * (1 + dim);
7093 size += bset->n_ineq * (1 + dim);
7094 size += bset->n_div * (2 + dim);
7099 int isl_set_size(__isl_keep isl_set *set)
7107 for (i = 0; i < set->n; ++i)
7108 size += isl_basic_set_size(set->p[i]);
7113 int isl_basic_map_dim_is_bounded(__isl_keep isl_basic_map *bmap,
7114 enum isl_dim_type type, unsigned pos)
7122 isl_assert(bmap->ctx, pos < isl_basic_map_dim(bmap, type), return -1);
7124 pos += isl_basic_map_offset(bmap, type);
7126 for (i = 0; i < bmap->n_eq; ++i)
7127 if (!isl_int_is_zero(bmap->eq[i][pos]))
7131 for (i = 0; i < bmap->n_ineq; ++i) {
7132 int sgn = isl_int_sgn(bmap->ineq[i][pos]);
7139 return lower && upper;
7142 int isl_map_dim_is_bounded(__isl_keep isl_map *map,
7143 enum isl_dim_type type, unsigned pos)
7150 for (i = 0; i < map->n; ++i) {
7152 bounded = isl_basic_map_dim_is_bounded(map->p[i], type, pos);
7153 if (bounded < 0 || !bounded)
7160 /* Return 1 if the specified dim is involved in both an upper bound
7161 * and a lower bound.
7163 int isl_set_dim_is_bounded(__isl_keep isl_set *set,
7164 enum isl_dim_type type, unsigned pos)
7166 return isl_map_dim_is_bounded((isl_map *)set, type, pos);
7169 /* For each of the "n" variables starting at "first", determine
7170 * the sign of the variable and put the results in the first "n"
7171 * elements of the array "signs".
7173 * 1 means that the variable is non-negative
7174 * -1 means that the variable is non-positive
7175 * 0 means the variable attains both positive and negative values.
7177 int isl_basic_set_vars_get_sign(__isl_keep isl_basic_set *bset,
7178 unsigned first, unsigned n, int *signs)
7180 isl_vec *bound = NULL;
7181 struct isl_tab *tab = NULL;
7182 struct isl_tab_undo *snap;
7185 if (!bset || !signs)
7188 bound = isl_vec_alloc(bset->ctx, 1 + isl_basic_set_total_dim(bset));
7189 tab = isl_tab_from_basic_set(bset);
7193 isl_seq_clr(bound->el, bound->size);
7194 isl_int_set_si(bound->el[0], -1);
7196 snap = isl_tab_snap(tab);
7197 for (i = 0; i < n; ++i) {
7200 isl_int_set_si(bound->el[1 + first + i], -1);
7201 if (isl_tab_add_ineq(tab, bound->el) < 0)
7204 isl_int_set_si(bound->el[1 + first + i], 0);
7205 if (isl_tab_rollback(tab, snap) < 0)
7213 isl_int_set_si(bound->el[1 + first + i], 1);
7214 if (isl_tab_add_ineq(tab, bound->el) < 0)
7217 isl_int_set_si(bound->el[1 + first + i], 0);
7218 if (isl_tab_rollback(tab, snap) < 0)
7221 signs[i] = empty ? -1 : 0;
7225 isl_vec_free(bound);
7229 isl_vec_free(bound);
7233 int isl_basic_set_dims_get_sign(__isl_keep isl_basic_set *bset,
7234 enum isl_dim_type type, unsigned first, unsigned n, int *signs)
7236 if (!bset || !signs)
7238 isl_assert(bset->ctx, first + n <= isl_basic_set_dim(bset, type),
7241 first += pos(bset->dim, type) - 1;
7242 return isl_basic_set_vars_get_sign(bset, first, n, signs);
7245 /* Check if the given map is single-valued.
7250 * and check if the result is a subset of the identity mapping.
7252 int isl_map_is_single_valued(__isl_keep isl_map *map)
7258 test = isl_map_reverse(isl_map_copy(map));
7259 test = isl_map_apply_range(test, isl_map_copy(map));
7261 id = isl_map_identity(isl_dim_range(isl_map_get_dim(map)));
7263 sv = isl_map_is_subset(test, id);
7271 int isl_map_is_bijective(__isl_keep isl_map *map)
7275 sv = isl_map_is_single_valued(map);
7279 map = isl_map_copy(map);
7280 map = isl_map_reverse(map);
7281 sv = isl_map_is_single_valued(map);
7287 int isl_set_is_singleton(__isl_keep isl_set *set)
7289 return isl_map_is_single_valued((isl_map *)set);
7292 int isl_map_is_translation(__isl_keep isl_map *map)
7297 delta = isl_map_deltas(isl_map_copy(map));
7298 ok = isl_set_is_singleton(delta);
7299 isl_set_free(delta);
7304 static int unique(isl_int *p, unsigned pos, unsigned len)
7306 if (isl_seq_first_non_zero(p, pos) != -1)
7308 if (isl_seq_first_non_zero(p + pos + 1, len - pos - 1) != -1)
7313 int isl_basic_set_is_box(__isl_keep isl_basic_set *bset)
7322 if (isl_basic_set_dim(bset, isl_dim_div) != 0)
7325 nvar = isl_basic_set_dim(bset, isl_dim_set);
7326 ovar = isl_dim_offset(bset->dim, isl_dim_set);
7327 for (j = 0; j < nvar; ++j) {
7328 int lower = 0, upper = 0;
7329 for (i = 0; i < bset->n_eq; ++i) {
7330 if (isl_int_is_zero(bset->eq[i][1 + ovar + j]))
7332 if (!unique(bset->eq[i] + 1 + ovar, j, nvar))
7338 for (i = 0; i < bset->n_ineq; ++i) {
7339 if (isl_int_is_zero(bset->ineq[i][1 + ovar + j]))
7341 if (!unique(bset->ineq[i] + 1 + ovar, j, nvar))
7343 if (isl_int_is_pos(bset->ineq[i][1 + ovar + j]))
7348 if (!lower || !upper)
7355 int isl_set_is_box(__isl_keep isl_set *set)
7362 return isl_basic_set_is_box(set->p[0]);
7365 int isl_basic_set_is_wrapping(__isl_keep isl_basic_set *bset)
7370 return isl_dim_is_wrapping(bset->dim);
7373 int isl_set_is_wrapping(__isl_keep isl_set *set)
7378 return isl_dim_is_wrapping(set->dim);
7381 __isl_give isl_basic_set *isl_basic_map_wrap(__isl_take isl_basic_map *bmap)
7383 bmap = isl_basic_map_cow(bmap);
7387 bmap->dim = isl_dim_wrap(bmap->dim);
7391 bmap = isl_basic_map_finalize(bmap);
7393 return (isl_basic_set *)bmap;
7395 isl_basic_map_free(bmap);
7399 __isl_give isl_set *isl_map_wrap(__isl_take isl_map *map)
7403 map = isl_map_cow(map);
7407 for (i = 0; i < map->n; ++i) {
7408 map->p[i] = (isl_basic_map *)isl_basic_map_wrap(map->p[i]);
7412 map->dim = isl_dim_wrap(map->dim);
7416 return (isl_set *)map;
7422 __isl_give isl_basic_map *isl_basic_set_unwrap(__isl_take isl_basic_set *bset)
7424 bset = isl_basic_set_cow(bset);
7428 bset->dim = isl_dim_unwrap(bset->dim);
7432 bset = isl_basic_set_finalize(bset);
7434 return (isl_basic_map *)bset;
7436 isl_basic_set_free(bset);
7440 __isl_give isl_map *isl_set_unwrap(__isl_take isl_set *set)
7447 if (!isl_set_is_wrapping(set))
7448 isl_die(set->ctx, isl_error_invalid, "not a wrapping set",
7451 set = isl_set_cow(set);
7455 for (i = 0; i < set->n; ++i) {
7456 set->p[i] = (isl_basic_set *)isl_basic_set_unwrap(set->p[i]);
7461 set->dim = isl_dim_unwrap(set->dim);
7465 return (isl_map *)set;
7471 __isl_give isl_basic_map *isl_basic_map_reset(__isl_take isl_basic_map *bmap,
7472 enum isl_dim_type type)
7477 if (!isl_dim_is_named_or_nested(bmap->dim, type))
7480 bmap = isl_basic_map_cow(bmap);
7484 bmap->dim = isl_dim_reset(bmap->dim, type);
7488 bmap = isl_basic_map_finalize(bmap);
7492 isl_basic_map_free(bmap);
7496 __isl_give isl_map *isl_map_reset(__isl_take isl_map *map,
7497 enum isl_dim_type type)
7504 if (!isl_dim_is_named_or_nested(map->dim, type))
7507 map = isl_map_cow(map);
7511 for (i = 0; i < map->n; ++i) {
7512 map->p[i] = isl_basic_map_reset(map->p[i], type);
7516 map->dim = isl_dim_reset(map->dim, type);
7526 __isl_give isl_basic_map *isl_basic_map_flatten(__isl_take isl_basic_map *bmap)
7531 if (!bmap->dim->nested[0] && !bmap->dim->nested[1])
7534 bmap = isl_basic_map_cow(bmap);
7538 bmap->dim = isl_dim_flatten(bmap->dim);
7542 bmap = isl_basic_map_finalize(bmap);
7546 isl_basic_map_free(bmap);
7550 __isl_give isl_map *isl_map_flatten(__isl_take isl_map *map)
7557 if (!map->dim->nested[0] && !map->dim->nested[1])
7560 map = isl_map_cow(map);
7564 for (i = 0; i < map->n; ++i) {
7565 map->p[i] = isl_basic_map_flatten(map->p[i]);
7569 map->dim = isl_dim_flatten(map->dim);
7579 /* Extend the given dim_map with mappings for the divs in bmap.
7581 static __isl_give struct isl_dim_map *extend_dim_map(
7582 __isl_keep struct isl_dim_map *dim_map,
7583 __isl_keep isl_basic_map *bmap)
7586 struct isl_dim_map *res;
7589 offset = isl_basic_map_offset(bmap, isl_dim_div);
7591 res = isl_dim_map_alloc(bmap->ctx, dim_map->len - 1 + bmap->n_div);
7595 for (i = 0; i < dim_map->len; ++i)
7596 res->pos[i] = dim_map->pos[i];
7597 for (i = 0; i < bmap->n_div; ++i)
7598 res->pos[dim_map->len + i] = offset + i;
7603 /* Extract a dim_map from a reordering.
7604 * We essentially need to reverse the mapping, and add an offset
7605 * of 1 for the constant term.
7607 __isl_give struct isl_dim_map *isl_dim_map_from_reordering(
7608 __isl_keep isl_reordering *exp)
7611 struct isl_dim_map *dim_map;
7616 dim_map = isl_dim_map_alloc(exp->dim->ctx, isl_dim_total(exp->dim));
7620 for (i = 0; i < exp->len; ++i)
7621 dim_map->pos[1 + exp->pos[i]] = 1 + i;
7626 /* Reorder the dimensions of "bmap" according to the given dim_map
7627 * and set the dimension specification to "dim".
7629 __isl_give isl_basic_map *isl_basic_map_realign(__isl_take isl_basic_map *bmap,
7630 __isl_take isl_dim *dim, __isl_take struct isl_dim_map *dim_map)
7634 bmap = isl_basic_map_cow(bmap);
7635 if (!bmap || !dim || !dim_map)
7638 res = isl_basic_map_alloc_dim(dim,
7639 bmap->n_div, bmap->n_eq, bmap->n_ineq);
7640 res = add_constraints_dim_map(res, bmap, dim_map);
7641 res = isl_basic_map_finalize(res);
7645 isl_basic_map_free(bmap);
7650 /* Reorder the dimensions of "map" according to given reordering.
7652 __isl_give isl_map *isl_map_realign(__isl_take isl_map *map,
7653 __isl_take isl_reordering *r)
7656 struct isl_dim_map *dim_map;
7658 map = isl_map_cow(map);
7659 dim_map = isl_dim_map_from_reordering(r);
7660 if (!map || !r || !dim_map)
7663 for (i = 0; i < map->n; ++i) {
7664 struct isl_dim_map *dim_map_i;
7666 dim_map_i = extend_dim_map(dim_map, map->p[i]);
7668 map->p[i] = isl_basic_map_realign(map->p[i],
7669 isl_dim_copy(r->dim), dim_map_i);
7675 map = isl_map_reset_dim(map, isl_dim_copy(r->dim));
7677 isl_reordering_free(r);
7683 isl_reordering_free(r);
7687 __isl_give isl_set *isl_set_realign(__isl_take isl_set *set,
7688 __isl_take isl_reordering *r)
7690 return (isl_set *)isl_map_realign((isl_map *)set, r);
7693 __isl_give isl_mat *isl_basic_map_equalities_matrix(
7694 __isl_keep isl_basic_map *bmap, enum isl_dim_type c1,
7695 enum isl_dim_type c2, enum isl_dim_type c3,
7696 enum isl_dim_type c4, enum isl_dim_type c5)
7698 enum isl_dim_type c[5] = { c1, c2, c3, c4, c5 };
7699 struct isl_mat *mat;
7705 mat = isl_mat_alloc(bmap->ctx, bmap->n_eq,
7706 isl_basic_map_total_dim(bmap) + 1);
7709 for (i = 0; i < bmap->n_eq; ++i)
7710 for (j = 0, pos = 0; j < 5; ++j) {
7711 int off = isl_basic_map_offset(bmap, c[j]);
7712 for (k = 0; k < isl_basic_map_dim(bmap, c[j]); ++k) {
7713 isl_int_set(mat->row[i][pos],
7714 bmap->eq[i][off + k]);
7722 __isl_give isl_mat *isl_basic_map_inequalities_matrix(
7723 __isl_keep isl_basic_map *bmap, enum isl_dim_type c1,
7724 enum isl_dim_type c2, enum isl_dim_type c3,
7725 enum isl_dim_type c4, enum isl_dim_type c5)
7727 enum isl_dim_type c[5] = { c1, c2, c3, c4, c5 };
7728 struct isl_mat *mat;
7734 mat = isl_mat_alloc(bmap->ctx, bmap->n_ineq,
7735 isl_basic_map_total_dim(bmap) + 1);
7738 for (i = 0; i < bmap->n_ineq; ++i)
7739 for (j = 0, pos = 0; j < 5; ++j) {
7740 int off = isl_basic_map_offset(bmap, c[j]);
7741 for (k = 0; k < isl_basic_map_dim(bmap, c[j]); ++k) {
7742 isl_int_set(mat->row[i][pos],
7743 bmap->ineq[i][off + k]);
7751 __isl_give isl_basic_map *isl_basic_map_from_constraint_matrices(
7752 __isl_take isl_dim *dim,
7753 __isl_take isl_mat *eq, __isl_take isl_mat *ineq, enum isl_dim_type c1,
7754 enum isl_dim_type c2, enum isl_dim_type c3,
7755 enum isl_dim_type c4, enum isl_dim_type c5)
7757 enum isl_dim_type c[5] = { c1, c2, c3, c4, c5 };
7758 isl_basic_map *bmap;
7764 if (!dim || !eq || !ineq)
7767 if (eq->n_col != ineq->n_col)
7768 isl_die(dim->ctx, isl_error_invalid,
7769 "equalities and inequalities matrices should have "
7770 "same number of columns", goto error);
7772 total = 1 + isl_dim_total(dim);
7774 if (eq->n_col < total)
7775 isl_die(dim->ctx, isl_error_invalid,
7776 "number of columns too small", goto error);
7778 extra = eq->n_col - total;
7780 bmap = isl_basic_map_alloc_dim(isl_dim_copy(dim), extra,
7781 eq->n_row, ineq->n_row);
7784 for (i = 0; i < extra; ++i)
7785 if (isl_basic_map_alloc_div(bmap) < 0)
7787 for (i = 0; i < eq->n_row; ++i) {
7788 l = isl_basic_map_alloc_equality(bmap);
7791 for (j = 0, pos = 0; j < 5; ++j) {
7792 int off = isl_basic_map_offset(bmap, c[j]);
7793 for (k = 0; k < isl_basic_map_dim(bmap, c[j]); ++k) {
7794 isl_int_set(bmap->eq[l][off + k],
7800 for (i = 0; i < ineq->n_row; ++i) {
7801 l = isl_basic_map_alloc_inequality(bmap);
7804 for (j = 0, pos = 0; j < 5; ++j) {
7805 int off = isl_basic_map_offset(bmap, c[j]);
7806 for (k = 0; k < isl_basic_map_dim(bmap, c[j]); ++k) {
7807 isl_int_set(bmap->ineq[l][off + k],
7826 __isl_give isl_basic_set *isl_basic_set_from_constraint_matrices(
7827 __isl_take isl_dim *dim,
7828 __isl_take isl_mat *eq, __isl_take isl_mat *ineq, enum isl_dim_type c1,
7829 enum isl_dim_type c2, enum isl_dim_type c3, enum isl_dim_type c4)
7831 return (isl_basic_set*)
7832 isl_basic_map_from_constraint_matrices(dim, eq, ineq,
7833 c1, c2, c3, c4, isl_dim_in);