+/*
+ * Copyright 2008-2009 Katholieke Universiteit Leuven
+ * Copyright 2010 INRIA Saclay
+ *
+ * Use of this software is governed by the GNU LGPLv2.1 license
+ *
+ * Written by Sven Verdoolaege, K.U.Leuven, Departement
+ * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
+ * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
+ * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
+ */
+
#include <string.h>
#include <strings.h>
#include "isl_ctx.h"
#include "isl_blk.h"
-#include "isl_dim.h"
+#include "isl_dim_private.h"
#include "isl_equalities.h"
#include "isl_list.h"
#include "isl_lp.h"
case isl_dim_in: return dim->n_in;
case isl_dim_out: return dim->n_out;
case isl_dim_all: return dim->nparam + dim->n_in + dim->n_out;
+ default: return 0;
}
}
case isl_dim_param: return 1;
case isl_dim_in: return 1 + dim->nparam;
case isl_dim_out: return 1 + dim->nparam + dim->n_in;
+ default: return 0;
}
}
-static void isl_dim_map_dim(struct isl_dim_map *dim_map, struct isl_dim *dim,
- enum isl_dim_type type, unsigned dst_pos)
+static void isl_dim_map_dim_range(struct isl_dim_map *dim_map,
+ struct isl_dim *dim, enum isl_dim_type type,
+ unsigned first, unsigned n, unsigned dst_pos)
{
int i;
unsigned src_pos;
return;
src_pos = pos(dim, type);
- for (i = 0; i < n(dim, type); ++i)
- dim_map->pos[1 + dst_pos + i] = src_pos + i;
+ for (i = 0; i < n; ++i)
+ dim_map->pos[1 + dst_pos + i] = src_pos + first + i;
+}
+
+static void isl_dim_map_dim(struct isl_dim_map *dim_map, struct isl_dim *dim,
+ enum isl_dim_type type, unsigned dst_pos)
+{
+ isl_dim_map_dim_range(dim_map, dim, type, 0, n(dim, type), dst_pos);
}
static void isl_dim_map_div(struct isl_dim_map *dim_map,
unsigned isl_basic_map_dim(const struct isl_basic_map *bmap,
enum isl_dim_type type)
{
+ if (!bmap)
+ return 0;
switch (type) {
case isl_dim_param:
case isl_dim_in:
case isl_dim_out: return isl_dim_size(bmap->dim, type);
case isl_dim_div: return bmap->n_div;
case isl_dim_all: return isl_basic_map_total_dim(bmap);
+ default: return 0;
}
}
unsigned isl_map_dim(const struct isl_map *map, enum isl_dim_type type)
{
- return n(map->dim, type);
+ return map ? n(map->dim, type) : 0;
}
unsigned isl_set_dim(const struct isl_set *set, enum isl_dim_type type)
{
- return n(set->dim, type);
+ return set ? n(set->dim, type) : 0;
}
unsigned isl_basic_map_offset(struct isl_basic_map *bmap,
case isl_dim_in: return 1 + dim->nparam;
case isl_dim_out: return 1 + dim->nparam + dim->n_in;
case isl_dim_div: return 1 + dim->nparam + dim->n_in + dim->n_out;
+ default: return 0;
}
}
unsigned isl_basic_set_n_dim(const struct isl_basic_set *bset)
{
- return bset->dim->n_out;
+ return isl_basic_set_dim(bset, isl_dim_set);
}
unsigned isl_basic_set_n_param(const struct isl_basic_set *bset)
{
- return bset->dim->nparam;
+ return isl_basic_set_dim(bset, isl_dim_param);
}
unsigned isl_basic_set_total_dim(const struct isl_basic_set *bset)
unsigned isl_set_n_dim(const struct isl_set *set)
{
- return set->dim->n_out;
+ return isl_set_dim(set, isl_dim_set);
}
unsigned isl_set_n_param(const struct isl_set *set)
{
- return set->dim->nparam;
+ return isl_set_dim(set, isl_dim_param);
}
unsigned isl_basic_map_n_in(const struct isl_basic_map *bmap)
unsigned isl_basic_map_total_dim(const struct isl_basic_map *bmap)
{
- return isl_dim_total(bmap->dim) + bmap->n_div;
+ return bmap ? isl_dim_total(bmap->dim) + bmap->n_div : 0;
}
unsigned isl_map_n_in(const struct isl_map *map)
return isl_dim_copy(set->dim);
}
+__isl_give isl_basic_map *isl_basic_map_set_dim_name(
+ __isl_take isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos, const char *s)
+{
+ if (!bmap)
+ return NULL;
+ bmap->dim = isl_dim_set_name(bmap->dim, type, pos, s);
+ if (!bmap->dim)
+ goto error;
+ return bmap;
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+__isl_give isl_map *isl_map_set_dim_name(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned pos, const char *s)
+{
+ int i;
+
+ if (!map)
+ return NULL;
+
+ map->dim = isl_dim_set_name(map->dim, type, pos, s);
+ if (!map->dim)
+ goto error;
+
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_set_dim_name(map->p[i], type, pos, s);
+ if (!map->p[i])
+ goto error;
+ }
+
+ return map;
+error:
+ isl_map_free(map);
+ return NULL;
+}
+
+__isl_give isl_basic_set *isl_basic_set_set_dim_name(
+ __isl_take isl_basic_set *bset,
+ enum isl_dim_type type, unsigned pos, const char *s)
+{
+ return (isl_basic_set *)isl_basic_map_set_dim_name(
+ (isl_basic_map *)bset, type, pos, s);
+}
+
+__isl_give isl_set *isl_set_set_dim_name(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned pos, const char *s)
+{
+ return (isl_set *)isl_map_set_dim_name((isl_map *)set, type, pos, s);
+}
+
+int isl_basic_map_is_rational(__isl_keep isl_basic_map *bmap)
+{
+ if (!bmap)
+ return -1;
+ return ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL);
+}
+
static struct isl_basic_map *basic_map_init(struct isl_ctx *ctx,
struct isl_basic_map *bmap, unsigned extra,
unsigned n_eq, unsigned n_ineq)
int i;
size_t row_size = 1 + isl_dim_total(bmap->dim) + extra;
+ bmap->ctx = ctx;
+ isl_ctx_ref(ctx);
+
bmap->block = isl_blk_alloc(ctx, (n_ineq + n_eq) * row_size);
- if (isl_blk_is_error(bmap->block)) {
- free(bmap);
- return NULL;
- }
+ if (isl_blk_is_error(bmap->block))
+ goto error;
bmap->ineq = isl_alloc_array(ctx, isl_int *, n_ineq + n_eq);
- if (!bmap->ineq) {
- isl_blk_free(ctx, bmap->block);
- free(bmap);
- return NULL;
- }
+ if (!bmap->ineq)
+ goto error;
if (extra == 0) {
bmap->block2 = isl_blk_empty();
bmap->div = NULL;
} else {
bmap->block2 = isl_blk_alloc(ctx, extra * (1 + row_size));
- if (isl_blk_is_error(bmap->block2)) {
- free(bmap->ineq);
- isl_blk_free(ctx, bmap->block);
- free(bmap);
- return NULL;
- }
+ if (isl_blk_is_error(bmap->block2))
+ goto error;
bmap->div = isl_alloc_array(ctx, isl_int *, extra);
- if (!bmap->div) {
- isl_blk_free(ctx, bmap->block2);
- free(bmap->ineq);
- isl_blk_free(ctx, bmap->block);
- free(bmap);
- return NULL;
- }
+ if (!bmap->div)
+ goto error;
}
for (i = 0; i < n_ineq + n_eq; ++i)
for (i = 0; i < extra; ++i)
bmap->div[i] = bmap->block2.data + i * (1 + row_size);
- bmap->ctx = ctx;
- isl_ctx_ref(ctx);
bmap->ref = 1;
bmap->flags = 0;
bmap->c_size = n_eq + n_ineq;
if (!dim)
return NULL;
- bmap = isl_alloc_type(dim->ctx, struct isl_basic_map);
+ bmap = isl_calloc_type(dim->ctx, struct isl_basic_map);
if (!bmap)
goto error;
bmap->dim = dim;
bmap->ref++;
return bmap;
}
- return isl_basic_map_dup(bmap);
+ bmap = isl_basic_map_dup(bmap);
+ if (bmap)
+ ISL_F_SET(bmap, ISL_BASIC_SET_FINAL);
+ return bmap;
}
struct isl_map *isl_map_copy(struct isl_map *map)
return isl_basic_map_drop_inequality((struct isl_basic_map *)bset, pos);
}
-__isl_give isl_basic_set *isl_basic_set_add_eq(__isl_take isl_basic_set *bset,
+__isl_give isl_basic_map *isl_basic_map_add_eq(__isl_take isl_basic_map *bmap,
isl_int *eq)
{
int k;
- bset = isl_basic_set_extend_constraints(bset, 1, 0);
- if (!bset)
+ bmap = isl_basic_map_extend_constraints(bmap, 1, 0);
+ if (!bmap)
return NULL;
- k = isl_basic_set_alloc_equality(bset);
+ k = isl_basic_map_alloc_equality(bmap);
if (k < 0)
goto error;
- isl_seq_cpy(bset->eq[k], eq, 1 + isl_basic_set_total_dim(bset));
- return bset;
+ isl_seq_cpy(bmap->eq[k], eq, 1 + isl_basic_map_total_dim(bmap));
+ return bmap;
error:
- isl_basic_set_free(bset);
+ isl_basic_map_free(bmap);
return NULL;
}
-__isl_give isl_basic_set *isl_basic_set_add_ineq(__isl_take isl_basic_set *bset,
+__isl_give isl_basic_set *isl_basic_set_add_eq(__isl_take isl_basic_set *bset,
+ isl_int *eq)
+{
+ return (isl_basic_set *)
+ isl_basic_map_add_eq((isl_basic_map *)bset, eq);
+}
+
+__isl_give isl_basic_map *isl_basic_map_add_ineq(__isl_take isl_basic_map *bmap,
isl_int *ineq)
{
int k;
- bset = isl_basic_set_extend_constraints(bset, 0, 1);
- if (!bset)
+ bmap = isl_basic_map_extend_constraints(bmap, 0, 1);
+ if (!bmap)
return NULL;
- k = isl_basic_set_alloc_inequality(bset);
+ k = isl_basic_map_alloc_inequality(bmap);
if (k < 0)
goto error;
- isl_seq_cpy(bset->ineq[k], ineq, 1 + isl_basic_set_total_dim(bset));
- return bset;
+ isl_seq_cpy(bmap->ineq[k], ineq, 1 + isl_basic_map_total_dim(bmap));
+ return bmap;
error:
- isl_basic_set_free(bset);
+ isl_basic_map_free(bmap);
return NULL;
}
+__isl_give isl_basic_set *isl_basic_set_add_ineq(__isl_take isl_basic_set *bset,
+ isl_int *ineq)
+{
+ return (isl_basic_set *)
+ isl_basic_map_add_ineq((isl_basic_map *)bset, ineq);
+}
+
int isl_basic_map_alloc_div(struct isl_basic_map *bmap)
{
if (!bmap)
return NULL;
dim = isl_dim_alloc(base->ctx, nparam, n_in, n_out);
if (!dim)
- return NULL;
+ goto error;
bmap = isl_basic_map_extend_dim(base, dim, extra, n_eq, n_ineq);
return bmap;
+error:
+ isl_basic_map_free(base);
+ return NULL;
}
struct isl_basic_set *isl_basic_set_extend(struct isl_basic_set *base,
bmap->ref--;
bmap = isl_basic_map_dup(bmap);
}
- ISL_F_CLR(bmap, ISL_BASIC_SET_FINAL);
+ if (bmap)
+ ISL_F_CLR(bmap, ISL_BASIC_SET_FINAL);
return bmap;
}
isl_blk_free(bset->ctx, blk);
ISL_F_CLR(bset, ISL_BASIC_SET_NORMALIZED);
- return bset;
-
+ return isl_basic_set_gauss(bset, NULL);
error:
isl_basic_set_free(bset);
return NULL;
if (bmap->n_eq > 0)
isl_basic_map_free_equality(bmap, bmap->n_eq-1);
else {
- isl_basic_map_alloc_equality(bmap);
+ i = isl_basic_map_alloc_equality(bmap);
if (i < 0)
goto error;
}
isl_int_set_si(bmap->eq[i][0], 1);
isl_seq_clr(bmap->eq[i]+1, total);
ISL_F_SET(bmap, ISL_BASIC_MAP_EMPTY);
+ isl_vec_free(bmap->sample);
+ bmap->sample = NULL;
return isl_basic_map_finalize(bmap);
error:
isl_basic_map_free(bmap);
}
/* Eliminate the specified n dimensions starting at first from the
- * constraints using Fourier-Motzkin, The dimensions themselves
+ * constraints using Fourier-Motzkin. The dimensions themselves
* are not removed.
*/
-struct isl_set *isl_set_eliminate_dims(struct isl_set *set,
- unsigned first, unsigned n)
+__isl_give isl_map *isl_map_eliminate(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned first, unsigned n)
{
int i;
- unsigned nparam;
- if (!set)
+ if (!map)
return NULL;
if (n == 0)
- return set;
+ return map;
- set = isl_set_cow(set);
- if (!set)
+ map = isl_map_cow(map);
+ if (!map)
return NULL;
- isl_assert(set->ctx, first+n <= isl_set_n_dim(set), goto error);
- nparam = isl_set_n_param(set);
+ isl_assert(map->ctx, first + n <= isl_map_dim(map, type), goto error);
+ first += pos(map->dim, type) - 1;
- for (i = 0; i < set->n; ++i) {
- set->p[i] = isl_basic_set_eliminate_vars(set->p[i],
- nparam + first, n);
- if (!set->p[i])
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_eliminate_vars(map->p[i], first, n);
+ if (!map->p[i])
goto error;
}
- return set;
+ return map;
error:
- isl_set_free(set);
+ isl_map_free(map);
return NULL;
}
+/* Eliminate the specified n dimensions starting at first from the
+ * constraints using Fourier-Motzkin. The dimensions themselves
+ * are not removed.
+ */
+__isl_give isl_set *isl_set_eliminate(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ return (isl_set *)isl_map_eliminate((isl_map *)set, type, first, n);
+}
+
+/* Eliminate the specified n dimensions starting at first from the
+ * constraints using Fourier-Motzkin. The dimensions themselves
+ * are not removed.
+ */
+__isl_give isl_set *isl_set_eliminate_dims(__isl_take isl_set *set,
+ unsigned first, unsigned n)
+{
+ return isl_set_eliminate(set, isl_dim_set, first, n);
+}
+
/* Project out n dimensions starting at first using Fourier-Motzkin */
struct isl_set *isl_set_remove_dims(struct isl_set *set,
unsigned first, unsigned n)
return NULL;
}
+__isl_give isl_set *isl_set_remove(__isl_take isl_set *bset,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ return (isl_set *)isl_map_remove((isl_map *)bset, type, first, n);
+}
+
/* Project out n inputs starting at first using Fourier-Motzkin */
struct isl_map *isl_map_remove_inputs(struct isl_map *map,
unsigned first, unsigned n)
if (!dup)
return NULL;
for (i = 0; i < set->n; ++i)
- dup = isl_set_add(dup, isl_basic_set_copy(set->p[i]));
+ dup = isl_set_add_basic_set(dup, isl_basic_set_copy(set->p[i]));
return dup;
}
isl_basic_set_free(bset);
return NULL;
}
- return isl_set_add(set, bset);
+ return isl_set_add_basic_set(set, bset);
}
struct isl_map *isl_map_from_basic_map(struct isl_basic_map *bmap)
isl_basic_map_free(bmap);
return NULL;
}
- return isl_map_add(map, bmap);
+ return isl_map_add_basic_map(map, bmap);
}
-struct isl_set *isl_set_add(struct isl_set *set, struct isl_basic_set *bset)
+__isl_give isl_set *isl_set_add_basic_set(__isl_take isl_set *set,
+ __isl_take isl_basic_set *bset)
{
- return (struct isl_set *)isl_map_add((struct isl_map *)set,
+ return (struct isl_set *)isl_map_add_basic_map((struct isl_map *)set,
(struct isl_basic_map *)bset);
}
isl_basic_map_compatible_domain(bmap, bset), goto error);
bmap = isl_basic_map_cow(bmap);
- bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
- bset->n_div, bset->n_eq, bset->n_ineq);
if (!bmap)
goto error;
+ bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
+ bset->n_div, bset->n_eq, bset->n_ineq);
dim = isl_dim_reverse(isl_dim_copy(bset->dim));
bmap_domain = isl_basic_map_from_basic_set(bset, dim);
bmap = add_constraints(bmap, bmap_domain, 0, 0);
isl_basic_map_compatible_range(bmap, bset), goto error);
bmap = isl_basic_map_cow(bmap);
- bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
- bset->n_div, bset->n_eq, bset->n_ineq);
if (!bmap)
goto error;
+ bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
+ bset->n_div, bset->n_eq, bset->n_ineq);
bmap_range = isl_basic_map_from_basic_set(bset, isl_dim_copy(bset->dim));
bmap = add_constraints(bmap, bmap_range, 0, 0);
return NULL;
}
-static int basic_map_contains(struct isl_basic_map *bmap, struct isl_vec *vec)
+int isl_basic_map_contains(struct isl_basic_map *bmap, struct isl_vec *vec)
{
int i;
unsigned total;
int isl_basic_set_contains(struct isl_basic_set *bset, struct isl_vec *vec)
{
- return basic_map_contains((struct isl_basic_map *)bset, vec);
+ return isl_basic_map_contains((struct isl_basic_map *)bset, vec);
}
struct isl_basic_map *isl_basic_map_intersect(
isl_dim_equal(bmap1->dim, bmap2->dim), goto error);
if (bmap1->sample &&
- basic_map_contains(bmap1, bmap1->sample) > 0 &&
- basic_map_contains(bmap2, bmap1->sample) > 0)
+ isl_basic_map_contains(bmap1, bmap1->sample) > 0 &&
+ isl_basic_map_contains(bmap2, bmap1->sample) > 0)
sample = isl_vec_copy(bmap1->sample);
else if (bmap2->sample &&
- basic_map_contains(bmap1, bmap2->sample) > 0 &&
- basic_map_contains(bmap2, bmap2->sample) > 0)
+ isl_basic_map_contains(bmap1, bmap2->sample) > 0 &&
+ isl_basic_map_contains(bmap2, bmap2->sample) > 0)
sample = isl_vec_copy(bmap2->sample);
bmap1 = isl_basic_map_cow(bmap1);
- bmap1 = isl_basic_map_extend_dim(bmap1, isl_dim_copy(bmap1->dim),
- bmap2->n_div, bmap2->n_eq, bmap2->n_ineq);
if (!bmap1)
goto error;
+ bmap1 = isl_basic_map_extend_dim(bmap1, isl_dim_copy(bmap1->dim),
+ bmap2->n_div, bmap2->n_eq, bmap2->n_ineq);
bmap1 = add_constraints(bmap1, bmap2, 0, 0);
- if (sample) {
+ if (!bmap1)
+ isl_vec_free(sample);
+ else if (sample) {
isl_vec_free(bmap1->sample);
bmap1->sample = sample;
}
(struct isl_basic_map *)bset2);
}
+/* Special case of isl_map_intersect, where both map1 and map2
+ * are convex, without any divs and such that either map1 or map2
+ * contains a single constraint. This constraint is then simply
+ * added to the other map.
+ */
+static __isl_give isl_map *map_intersect_add_constraint(
+ __isl_take isl_map *map1, __isl_take isl_map *map2)
+{
+ struct isl_basic_map *bmap1;
+ struct isl_basic_map *bmap2;
+
+ isl_assert(map1->ctx, map1->n == 1, goto error);
+ isl_assert(map2->ctx, map1->n == 1, goto error);
+ isl_assert(map1->ctx, map1->p[0]->n_div == 0, goto error);
+ isl_assert(map2->ctx, map1->p[0]->n_div == 0, goto error);
+
+ if (map2->p[0]->n_eq + map2->p[0]->n_ineq != 1)
+ return isl_map_intersect(map2, map1);
+
+ isl_assert(map2->ctx,
+ map2->p[0]->n_eq + map2->p[0]->n_ineq == 1, goto error);
+
+ map1 = isl_map_cow(map1);
+ if (!map1)
+ goto error;
+ if (isl_map_fast_is_empty(map1)) {
+ isl_map_free(map2);
+ return map1;
+ }
+ map1->p[0] = isl_basic_map_cow(map1->p[0]);
+ if (map2->p[0]->n_eq == 1)
+ map1->p[0] = isl_basic_map_add_eq(map1->p[0], map2->p[0]->eq[0]);
+ else
+ map1->p[0] = isl_basic_map_add_ineq(map1->p[0],
+ map2->p[0]->ineq[0]);
+
+ map1->p[0] = isl_basic_map_simplify(map1->p[0]);
+ map1->p[0] = isl_basic_map_finalize(map1->p[0]);
+ if (!map1->p[0])
+ goto error;
+
+ if (isl_basic_map_fast_is_empty(map1->p[0])) {
+ isl_basic_map_free(map1->p[0]);
+ map1->n = 0;
+ }
+
+ isl_map_free(map2);
+
+ return map1;
+error:
+ isl_map_free(map1);
+ isl_map_free(map2);
+ return NULL;
+}
+
struct isl_map *isl_map_intersect(struct isl_map *map1, struct isl_map *map2)
{
unsigned flags = 0;
if (!map1 || !map2)
goto error;
+ if (isl_map_fast_is_empty(map1)) {
+ isl_map_free(map2);
+ return map1;
+ }
+ if (isl_map_fast_is_empty(map2)) {
+ isl_map_free(map1);
+ return map2;
+ }
+
+ if (map1->n == 1 && map2->n == 1 &&
+ map1->p[0]->n_div == 0 && map2->p[0]->n_div == 0 &&
+ isl_dim_equal(map1->dim, map2->dim) &&
+ (map1->p[0]->n_eq + map1->p[0]->n_ineq == 1 ||
+ map2->p[0]->n_eq + map2->p[0]->n_ineq == 1))
+ return map_intersect_add_constraint(map1, map2);
isl_assert(map1->ctx, isl_dim_match(map1->dim, isl_dim_param,
map2->dim, isl_dim_param), goto error);
if (isl_dim_total(map1->dim) ==
if (isl_basic_map_is_empty(part))
isl_basic_map_free(part);
else
- result = isl_map_add(result, part);
+ result = isl_map_add_basic_map(result, part);
if (!result)
goto error;
}
return isl_basic_map_from_basic_set(bset, dim);
}
-/* Turn final n dimensions into existentially quantified variables.
- */
-struct isl_basic_set *isl_basic_set_project_out(struct isl_basic_set *bset,
- enum isl_dim_type type, unsigned first, unsigned n)
+__isl_give isl_basic_map *isl_basic_map_insert(__isl_take isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos, unsigned n)
{
- int i;
- size_t row_size;
- isl_int **new_div;
- isl_int *old;
+ struct isl_dim *res_dim;
+ struct isl_basic_map *res;
+ struct isl_dim_map *dim_map;
+ unsigned total, off;
+ enum isl_dim_type t;
- if (!bset)
+ if (n == 0)
+ return bmap;
+
+ if (!bmap)
return NULL;
- isl_assert(bset->ctx, type == isl_dim_set, goto error);
- isl_assert(bset->ctx, first + n == isl_basic_set_n_dim(bset), goto error);
+ res_dim = isl_dim_insert(isl_basic_map_get_dim(bmap), type, pos, n);
- if (n == 0)
- return bset;
+ total = isl_basic_map_total_dim(bmap) + n;
+ dim_map = isl_dim_map_alloc(bmap->ctx, total);
+ off = 0;
+ for (t = isl_dim_param; t <= isl_dim_out; ++t) {
+ if (t != type) {
+ isl_dim_map_dim(dim_map, bmap->dim, t, off);
+ } else {
+ unsigned size = isl_basic_map_dim(bmap, t);
+ isl_dim_map_dim_range(dim_map, bmap->dim, t,
+ 0, pos, off);
+ isl_dim_map_dim_range(dim_map, bmap->dim, t,
+ pos, size - pos, off + pos + n);
+ }
+ off += isl_dim_size(res_dim, t);
+ }
+ isl_dim_map_div(dim_map, bmap, off);
- if (ISL_F_ISSET(bset, ISL_BASIC_SET_RATIONAL))
- return isl_basic_set_remove(bset, type, first, n);
+ res = isl_basic_map_alloc_dim(res_dim,
+ bmap->n_div, bmap->n_eq, bmap->n_ineq);
+ res = add_constraints_dim_map(res, bmap, dim_map);
+ res = isl_basic_map_simplify(res);
+ return isl_basic_map_finalize(res);
+}
- bset = isl_basic_set_cow(bset);
+__isl_give isl_basic_map *isl_basic_map_add(__isl_take isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned n)
+{
+ if (!bmap)
+ return NULL;
+ return isl_basic_map_insert(bmap, type,
+ isl_basic_map_dim(bmap, type), n);
+}
- row_size = 1 + isl_dim_total(bset->dim) + bset->extra;
- old = bset->block2.data;
- bset->block2 = isl_blk_extend(bset->ctx, bset->block2,
- (bset->extra + n) * (1 + row_size));
- if (!bset->block2.data)
- goto error;
- new_div = isl_alloc_array(ctx, isl_int *, bset->extra + n);
- if (!new_div)
- goto error;
- for (i = 0; i < n; ++i) {
- new_div[i] = bset->block2.data +
- (bset->extra + i) * (1 + row_size);
- isl_seq_clr(new_div[i], 1 + row_size);
- }
- for (i = 0; i < bset->extra; ++i)
- new_div[n + i] = bset->block2.data + (bset->div[i] - old);
- free(bset->div);
- bset->div = new_div;
- bset->n_div += n;
- bset->extra += n;
- bset->dim = isl_dim_drop_outputs(bset->dim,
- isl_basic_set_n_dim(bset) - n, n);
- if (!bset->dim)
- goto error;
- bset = isl_basic_set_simplify(bset);
- bset = isl_basic_set_drop_redundant_divs(bset);
- return isl_basic_set_finalize(bset);
+__isl_give isl_basic_set *isl_basic_set_add(__isl_take isl_basic_set *bset,
+ enum isl_dim_type type, unsigned n)
+{
+ if (!bset)
+ return NULL;
+ isl_assert(bset->ctx, type != isl_dim_in, goto error);
+ return (isl_basic_set *)isl_basic_map_add((isl_basic_map *)bset, type, n);
error:
isl_basic_set_free(bset);
return NULL;
}
-/* Turn final n dimensions into existentially quantified variables.
- */
-__isl_give isl_set *isl_set_project_out(__isl_take isl_set *set,
- enum isl_dim_type type, unsigned first, unsigned n)
+__isl_give isl_map *isl_map_insert(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned pos, unsigned n)
{
int i;
- if (!set)
- return NULL;
+ if (n == 0)
+ return map;
- isl_assert(set->ctx, type == isl_dim_set, goto error);
- isl_assert(set->ctx, first + n == isl_set_n_dim(set), goto error);
+ map = isl_map_cow(map);
+ if (!map)
+ return NULL;
- if (n == 0)
- return set;
+ map->dim = isl_dim_insert(map->dim, type, pos, n);
+ if (!map->dim)
+ goto error;
- set = isl_set_cow(set);
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_insert(map->p[i], type, pos, n);
+ if (!map->p[i])
+ goto error;
+ }
+
+ return map;
+error:
+ isl_map_free(map);
+ return NULL;
+}
+
+__isl_give isl_map *isl_map_add(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned n)
+{
+ if (!map)
+ return NULL;
+ return isl_map_insert(map, type, isl_map_dim(map, type), n);
+}
+
+__isl_give isl_set *isl_set_add(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned n)
+{
if (!set)
- goto error;
- set->dim = isl_dim_drop_outputs(set->dim, first, n);
- for (i = 0; i < set->n; ++i) {
- set->p[i] = isl_basic_set_project_out(set->p[i], type, first, n);
- if (!set->p[i])
+ return NULL;
+ isl_assert(set->ctx, type != isl_dim_in, goto error);
+ return (isl_set *)isl_map_add((isl_map *)set, type, n);
+error:
+ isl_set_free(set);
+ return NULL;
+}
+
+__isl_give isl_basic_map *isl_basic_map_move_dims(
+ __isl_take isl_basic_map *bmap,
+ enum isl_dim_type dst_type, unsigned dst_pos,
+ enum isl_dim_type src_type, unsigned src_pos, unsigned n)
+{
+ int i;
+ struct isl_dim_map *dim_map;
+ struct isl_basic_map *res;
+ enum isl_dim_type t;
+ unsigned total, off;
+
+ if (!bmap)
+ return NULL;
+ if (n == 0)
+ return bmap;
+
+ isl_assert(bmap->ctx, src_pos + n <= isl_basic_map_dim(bmap, src_type),
+ goto error);
+
+ if (dst_type == src_type && dst_pos == src_pos)
+ return bmap;
+
+ isl_assert(bmap->ctx, dst_type != src_type, goto error);
+
+ if (pos(bmap->dim, dst_type) + dst_pos ==
+ pos(bmap->dim, src_type) + src_pos +
+ ((src_type < dst_type) ? n : 0)) {
+ bmap = isl_basic_map_cow(bmap);
+ if (!bmap)
+ return NULL;
+
+ bmap->dim = isl_dim_move(bmap->dim, dst_type, dst_pos,
+ src_type, src_pos, n);
+ if (!bmap->dim)
goto error;
+
+ bmap = isl_basic_map_finalize(bmap);
+
+ return bmap;
}
- ISL_F_CLR(set, ISL_SET_NORMALIZED);
- return set;
+ total = isl_basic_map_total_dim(bmap);
+ dim_map = isl_dim_map_alloc(bmap->ctx, total);
+
+ off = 0;
+ for (t = isl_dim_param; t <= isl_dim_out; ++t) {
+ unsigned size = isl_dim_size(bmap->dim, t);
+ if (t == dst_type) {
+ isl_dim_map_dim_range(dim_map, bmap->dim, t,
+ 0, dst_pos, off);
+ off += dst_pos;
+ isl_dim_map_dim_range(dim_map, bmap->dim, src_type,
+ src_pos, n, off);
+ off += n;
+ isl_dim_map_dim_range(dim_map, bmap->dim, t,
+ dst_pos, size - dst_pos, off);
+ off += size - dst_pos;
+ } else if (t == src_type) {
+ isl_dim_map_dim_range(dim_map, bmap->dim, t,
+ 0, src_pos, off);
+ off += src_pos;
+ isl_dim_map_dim_range(dim_map, bmap->dim, t,
+ src_pos + n, size - src_pos - n, off);
+ off += size - src_pos - n;
+ } else {
+ isl_dim_map_dim(dim_map, bmap->dim, t, off);
+ off += size;
+ }
+ }
+ isl_dim_map_div(dim_map, bmap, off + n);
+
+ res = isl_basic_map_alloc_dim(isl_basic_map_get_dim(bmap),
+ bmap->n_div, bmap->n_eq, bmap->n_ineq);
+ bmap = add_constraints_dim_map(res, bmap, dim_map);
+
+ bmap->dim = isl_dim_move(bmap->dim, dst_type, dst_pos,
+ src_type, src_pos, n);
+ if (!bmap->dim)
+ goto error;
+
+ ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
+ bmap = isl_basic_map_gauss(bmap, NULL);
+ bmap = isl_basic_map_finalize(bmap);
+
+ return bmap;
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+__isl_give isl_basic_set *isl_basic_set_move_dims(__isl_take isl_basic_set *bset,
+ enum isl_dim_type dst_type, unsigned dst_pos,
+ enum isl_dim_type src_type, unsigned src_pos, unsigned n)
+{
+ return (isl_basic_set *)isl_basic_map_move_dims(
+ (isl_basic_map *)bset, dst_type, dst_pos, src_type, src_pos, n);
+}
+
+__isl_give isl_set *isl_set_move_dims(__isl_take isl_set *set,
+ enum isl_dim_type dst_type, unsigned dst_pos,
+ enum isl_dim_type src_type, unsigned src_pos, unsigned n)
+{
+ if (!set)
+ return NULL;
+ isl_assert(set->ctx, dst_type != isl_dim_in, goto error);
+ return (isl_set *)isl_map_move_dims((isl_map *)set, dst_type, dst_pos,
+ src_type, src_pos, n);
error:
isl_set_free(set);
return NULL;
}
+__isl_give isl_map *isl_map_move_dims(__isl_take isl_map *map,
+ enum isl_dim_type dst_type, unsigned dst_pos,
+ enum isl_dim_type src_type, unsigned src_pos, unsigned n)
+{
+ int i;
+
+ if (!map)
+ return NULL;
+ if (n == 0)
+ return map;
+
+ isl_assert(map->ctx, src_pos + n <= isl_map_dim(map, src_type),
+ goto error);
+
+ if (dst_type == src_type && dst_pos == src_pos)
+ return map;
+
+ isl_assert(map->ctx, dst_type != src_type, goto error);
+
+ map = isl_map_cow(map);
+ if (!map)
+ return NULL;
+
+ map->dim = isl_dim_move(map->dim, dst_type, dst_pos, src_type, src_pos, n);
+ if (!map->dim)
+ goto error;
+
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_move_dims(map->p[i],
+ dst_type, dst_pos,
+ src_type, src_pos, n);
+ if (!map->p[i])
+ goto error;
+ }
+
+ return map;
+error:
+ isl_map_free(map);
+ return NULL;
+}
+
+/* Move the specified dimensions to the last columns right before
+ * the divs. Don't change the dimension specification of bmap.
+ * That's the responsibility of the caller.
+ */
+static __isl_give isl_basic_map *move_last(__isl_take isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ struct isl_dim_map *dim_map;
+ struct isl_basic_map *res;
+ enum isl_dim_type t;
+ unsigned total, off;
+
+ if (!bmap)
+ return NULL;
+ if (pos(bmap->dim, type) + first + n == 1 + isl_dim_total(bmap->dim))
+ return bmap;
+
+ total = isl_basic_map_total_dim(bmap);
+ dim_map = isl_dim_map_alloc(bmap->ctx, total);
+
+ off = 0;
+ for (t = isl_dim_param; t <= isl_dim_out; ++t) {
+ unsigned size = isl_dim_size(bmap->dim, t);
+ if (t == type) {
+ isl_dim_map_dim_range(dim_map, bmap->dim, t,
+ 0, first, off);
+ off += first;
+ isl_dim_map_dim_range(dim_map, bmap->dim, t,
+ first, n, total - bmap->n_div - n);
+ isl_dim_map_dim_range(dim_map, bmap->dim, t,
+ first + n, size - (first + n), off);
+ off += size - (first + n);
+ } else {
+ isl_dim_map_dim(dim_map, bmap->dim, t, off);
+ off += size;
+ }
+ }
+ isl_dim_map_div(dim_map, bmap, off + n);
+
+ res = isl_basic_map_alloc_dim(isl_basic_map_get_dim(bmap),
+ bmap->n_div, bmap->n_eq, bmap->n_ineq);
+ res = add_constraints_dim_map(res, bmap, dim_map);
+ return res;
+}
+
+/* Turn the n dimensions of type type, starting at first
+ * into existentially quantified variables.
+ */
+__isl_give isl_basic_map *isl_basic_map_project_out(
+ __isl_take isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ int i;
+ size_t row_size;
+ isl_int **new_div;
+ isl_int *old;
+
+ if (n == 0)
+ return bmap;
+
+ if (!bmap)
+ return NULL;
+
+ if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL))
+ return isl_basic_map_remove(bmap, type, first, n);
+
+ isl_assert(bmap->ctx, first + n <= isl_basic_map_dim(bmap, type),
+ goto error);
+
+ bmap = move_last(bmap, type, first, n);
+ bmap = isl_basic_map_cow(bmap);
+ if (!bmap)
+ return NULL;
+
+ row_size = 1 + isl_dim_total(bmap->dim) + bmap->extra;
+ old = bmap->block2.data;
+ bmap->block2 = isl_blk_extend(bmap->ctx, bmap->block2,
+ (bmap->extra + n) * (1 + row_size));
+ if (!bmap->block2.data)
+ goto error;
+ new_div = isl_alloc_array(bmap->ctx, isl_int *, bmap->extra + n);
+ if (!new_div)
+ goto error;
+ for (i = 0; i < n; ++i) {
+ new_div[i] = bmap->block2.data +
+ (bmap->extra + i) * (1 + row_size);
+ isl_seq_clr(new_div[i], 1 + row_size);
+ }
+ for (i = 0; i < bmap->extra; ++i)
+ new_div[n + i] = bmap->block2.data + (bmap->div[i] - old);
+ free(bmap->div);
+ bmap->div = new_div;
+ bmap->n_div += n;
+ bmap->extra += n;
+
+ bmap->dim = isl_dim_drop(bmap->dim, type, first, n);
+ if (!bmap->dim)
+ goto error;
+ bmap = isl_basic_map_simplify(bmap);
+ bmap = isl_basic_map_drop_redundant_divs(bmap);
+ return isl_basic_map_finalize(bmap);
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+/* Turn the n dimensions of type type, starting at first
+ * into existentially quantified variables.
+ */
+struct isl_basic_set *isl_basic_set_project_out(struct isl_basic_set *bset,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ return (isl_basic_set *)isl_basic_map_project_out(
+ (isl_basic_map *)bset, type, first, n);
+}
+
+/* Turn the n dimensions of type type, starting at first
+ * into existentially quantified variables.
+ */
+__isl_give isl_map *isl_map_project_out(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ int i;
+
+ if (!map)
+ return NULL;
+
+ if (n == 0)
+ return map;
+
+ isl_assert(map->ctx, first + n <= isl_map_dim(map, type), goto error);
+
+ map = isl_map_cow(map);
+ if (!map)
+ return NULL;
+
+ map->dim = isl_dim_drop(map->dim, type, first, n);
+ if (!map->dim)
+ goto error;
+
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_project_out(map->p[i], type, first, n);
+ if (!map->p[i])
+ goto error;
+ }
+
+ return map;
+error:
+ isl_map_free(map);
+ return NULL;
+}
+
+/* Turn the n dimensions of type type, starting at first
+ * into existentially quantified variables.
+ */
+__isl_give isl_set *isl_set_project_out(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ return (isl_set *)isl_map_project_out((isl_map *)set, type, first, n);
+}
+
static struct isl_basic_map *add_divs(struct isl_basic_map *bmap, unsigned n)
{
int i, j;
if (isl_basic_map_is_empty(part))
isl_basic_map_free(part);
else
- result = isl_map_add(result, part);
+ result = isl_map_add_basic_map(result, part);
if (!result)
goto error;
}
return NULL;
}
+__isl_give isl_set *isl_set_sum(__isl_take isl_set *set1,
+ __isl_take isl_set *set2)
+{
+ return (isl_set *)isl_map_sum((isl_map *)set1, (isl_map *)set2);
+}
+
/* Given a basic map A -> f(A), construct A -> -f(A).
*/
struct isl_basic_map *isl_basic_map_neg(struct isl_basic_map *bmap)
return NULL;
}
+__isl_give isl_set *isl_set_neg(__isl_take isl_set *set)
+{
+ return (isl_set *)isl_map_neg((isl_map *)set);
+}
+
/* Given a basic map A -> f(A) and an integer d, construct a basic map
* A -> floor(f(A)/d).
*/
return NULL;
}
+/* Add a constraint to "bmap" expressing i_pos <= o_pos
+ */
+static __isl_give isl_basic_map *var_less_or_equal(
+ __isl_take isl_basic_map *bmap, unsigned pos)
+{
+ int i;
+ unsigned nparam;
+ unsigned n_in;
+
+ i = isl_basic_map_alloc_inequality(bmap);
+ if (i < 0)
+ goto error;
+ nparam = isl_basic_map_n_param(bmap);
+ n_in = isl_basic_map_n_in(bmap);
+ isl_seq_clr(bmap->ineq[i], 1 + isl_basic_map_total_dim(bmap));
+ isl_int_set_si(bmap->ineq[i][1+nparam+pos], -1);
+ isl_int_set_si(bmap->ineq[i][1+nparam+n_in+pos], 1);
+ return isl_basic_map_finalize(bmap);
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
/* Add a constraints to "bmap" expressing i_pos > o_pos
*/
static struct isl_basic_map *var_more(struct isl_basic_map *bmap, unsigned pos)
return NULL;
}
+/* Add a constraint to "bmap" expressing i_pos >= o_pos
+ */
+static __isl_give isl_basic_map *var_more_or_equal(
+ __isl_take isl_basic_map *bmap, unsigned pos)
+{
+ int i;
+ unsigned nparam;
+ unsigned n_in;
+
+ i = isl_basic_map_alloc_inequality(bmap);
+ if (i < 0)
+ goto error;
+ nparam = isl_basic_map_n_param(bmap);
+ n_in = isl_basic_map_n_in(bmap);
+ isl_seq_clr(bmap->ineq[i], 1 + isl_basic_map_total_dim(bmap));
+ isl_int_set_si(bmap->ineq[i][1+nparam+pos], 1);
+ isl_int_set_si(bmap->ineq[i][1+nparam+n_in+pos], -1);
+ return isl_basic_map_finalize(bmap);
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
struct isl_basic_map *isl_basic_map_equal(struct isl_dim *dim, unsigned n_equal)
{
int i;
return isl_basic_map_finalize(bmap);
}
-/* Return a relation on pairs of sets of dimension "dim" expressing i_pos < o_pos
+/* Return a relation on of dimension "dim" expressing i_[0..pos] << o_[0..pos]
*/
struct isl_basic_map *isl_basic_map_less_at(struct isl_dim *dim, unsigned pos)
{
return isl_basic_map_finalize(bmap);
}
+/* Return a relation on of dimension "dim" expressing i_[0..pos] <<= o_[0..pos]
+ */
+__isl_give isl_basic_map *isl_basic_map_less_or_equal_at(
+ __isl_take isl_dim *dim, unsigned pos)
+{
+ int i;
+ isl_basic_map *bmap;
+
+ bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
+ for (i = 0; i < pos; ++i)
+ bmap = var_equal(bmap, i);
+ bmap = var_less_or_equal(bmap, pos);
+ return isl_basic_map_finalize(bmap);
+}
+
/* Return a relation on pairs of sets of dimension "dim" expressing i_pos > o_pos
*/
struct isl_basic_map *isl_basic_map_more_at(struct isl_dim *dim, unsigned pos)
return isl_basic_map_finalize(bmap);
}
+/* Return a relation on of dimension "dim" expressing i_[0..pos] >>= o_[0..pos]
+ */
+__isl_give isl_basic_map *isl_basic_map_more_or_equal_at(
+ __isl_take isl_dim *dim, unsigned pos)
+{
+ int i;
+ isl_basic_map *bmap;
+
+ bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
+ for (i = 0; i < pos; ++i)
+ bmap = var_equal(bmap, i);
+ bmap = var_more_or_equal(bmap, pos);
+ return isl_basic_map_finalize(bmap);
+}
+
+static __isl_give isl_map *map_lex_lte_first(__isl_take isl_dim *dims,
+ unsigned n, int equal)
+{
+ struct isl_map *map;
+ int i;
+
+ map = isl_map_alloc_dim(isl_dim_copy(dims), n, ISL_MAP_DISJOINT);
+
+ for (i = 0; i + 1 < n; ++i)
+ map = isl_map_add_basic_map(map,
+ isl_basic_map_less_at(isl_dim_copy(dims), i));
+ if (n > 0) {
+ if (equal)
+ map = isl_map_add_basic_map(map,
+ isl_basic_map_less_or_equal_at(dims, n - 1));
+ else
+ map = isl_map_add_basic_map(map,
+ isl_basic_map_less_at(dims, n - 1));
+ } else
+ isl_dim_free(dims);
+
+ return map;
+}
+
static __isl_give isl_map *map_lex_lte(__isl_take isl_dim *dims, int equal)
{
- struct isl_map *map;
- unsigned dim;
- int i;
-
if (!dims)
return NULL;
- dim = dims->n_out;
- map = isl_map_alloc_dim(isl_dim_copy(dims), dim + equal, ISL_MAP_DISJOINT);
+ return map_lex_lte_first(dims, dims->n_out, equal);
+}
- for (i = 0; i < dim; ++i)
- map = isl_map_add(map,
- isl_basic_map_less_at(isl_dim_copy(dims), i));
- if (equal)
- map = isl_map_add(map,
- isl_basic_map_equal(isl_dim_copy(dims), dim));
+__isl_give isl_map *isl_map_lex_lt_first(__isl_take isl_dim *dim, unsigned n)
+{
+ return map_lex_lte_first(dim, n, 0);
+}
- isl_dim_free(dims);
- return map;
+__isl_give isl_map *isl_map_lex_le_first(__isl_take isl_dim *dim, unsigned n)
+{
+ return map_lex_lte_first(dim, n, 1);
}
__isl_give isl_map *isl_map_lex_lt(__isl_take isl_dim *set_dim)
return map_lex_lte(isl_dim_map(set_dim), 1);
}
-static __isl_give isl_map *map_lex_gte(__isl_take isl_dim *dims, int equal)
+static __isl_give isl_map *map_lex_gte_first(__isl_take isl_dim *dims,
+ unsigned n, int equal)
{
struct isl_map *map;
- unsigned dim;
int i;
- if (!dims)
- return NULL;
- dim = dims->n_out;
- map = isl_map_alloc_dim(isl_dim_copy(dims), dim + equal, ISL_MAP_DISJOINT);
+ map = isl_map_alloc_dim(isl_dim_copy(dims), n, ISL_MAP_DISJOINT);
- for (i = 0; i < dim; ++i)
- map = isl_map_add(map,
+ for (i = 0; i + 1 < n; ++i)
+ map = isl_map_add_basic_map(map,
isl_basic_map_more_at(isl_dim_copy(dims), i));
- if (equal)
- map = isl_map_add(map,
- isl_basic_map_equal(isl_dim_copy(dims), dim));
+ if (n > 0) {
+ if (equal)
+ map = isl_map_add_basic_map(map,
+ isl_basic_map_more_or_equal_at(dims, n - 1));
+ else
+ map = isl_map_add_basic_map(map,
+ isl_basic_map_more_at(dims, n - 1));
+ } else
+ isl_dim_free(dims);
- isl_dim_free(dims);
return map;
}
+static __isl_give isl_map *map_lex_gte(__isl_take isl_dim *dims, int equal)
+{
+ if (!dims)
+ return NULL;
+ return map_lex_gte_first(dims, dims->n_out, equal);
+}
+
+__isl_give isl_map *isl_map_lex_gt_first(__isl_take isl_dim *dim, unsigned n)
+{
+ return map_lex_gte_first(dim, n, 0);
+}
+
+__isl_give isl_map *isl_map_lex_ge_first(__isl_take isl_dim *dim, unsigned n)
+{
+ return map_lex_gte_first(dim, n, 1);
+}
+
__isl_give isl_map *isl_map_lex_gt(__isl_take isl_dim *set_dim)
{
return map_lex_gte(isl_dim_map(set_dim), 0);
*
* f - m d >= n
*/
-static int add_div_constraints(struct isl_basic_map *bmap, unsigned div)
+int isl_basic_map_add_div_constraints_var(__isl_keep isl_basic_map *bmap,
+ unsigned pos, isl_int *div)
{
int i, j;
unsigned total = isl_basic_map_total_dim(bmap);
- unsigned div_pos = 1 + total - bmap->n_div + div;
i = isl_basic_map_alloc_inequality(bmap);
if (i < 0)
return -1;
- isl_seq_cpy(bmap->ineq[i], bmap->div[div]+1, 1+total);
- isl_int_neg(bmap->ineq[i][div_pos], bmap->div[div][0]);
+ isl_seq_cpy(bmap->ineq[i], div + 1, 1 + total);
+ isl_int_neg(bmap->ineq[i][1 + pos], div[0]);
j = isl_basic_map_alloc_inequality(bmap);
if (j < 0)
return -1;
isl_seq_neg(bmap->ineq[j], bmap->ineq[i], 1 + total);
- isl_int_add(bmap->ineq[j][0], bmap->ineq[j][0], bmap->ineq[j][div_pos]);
+ isl_int_add(bmap->ineq[j][0], bmap->ineq[j][0], bmap->ineq[j][1 + pos]);
isl_int_sub_ui(bmap->ineq[j][0], bmap->ineq[j][0], 1);
return j;
}
+int isl_basic_set_add_div_constraints_var(__isl_keep isl_basic_set *bset,
+ unsigned pos, isl_int *div)
+{
+ return isl_basic_map_add_div_constraints_var((isl_basic_map *)bset,
+ pos, div);
+}
+
+int isl_basic_map_add_div_constraints(struct isl_basic_map *bmap, unsigned div)
+{
+ unsigned total = isl_basic_map_total_dim(bmap);
+ unsigned div_pos = total - bmap->n_div + div;
+
+ return isl_basic_map_add_div_constraints_var(bmap, div_pos,
+ bmap->div[div]);
+}
+
struct isl_basic_set *isl_basic_map_underlying_set(
struct isl_basic_map *bmap)
{
for (i = 0; i < like->n_div; ++i) {
if (isl_int_is_zero(bmap->div[i][0]))
continue;
- if (add_div_constraints(bmap, i) < 0)
+ if (isl_basic_map_add_div_constraints(bmap, i) < 0)
goto error;
}
}
if (!map)
goto error;
+ if (isl_map_dim(map, isl_dim_in) == 0)
+ return (isl_set *)map;
+
map = isl_map_cow(map);
if (!map)
goto error;
set = (struct isl_set *) map;
- if (set->dim->n_in != 0) {
- set->dim = isl_dim_drop_inputs(set->dim, 0, set->dim->n_in);
- if (!set->dim)
- goto error;
- }
+ set->dim = isl_dim_drop_inputs(set->dim, 0, set->dim->n_in);
+ if (!set->dim)
+ goto error;
for (i = 0; i < map->n; ++i) {
set->p[i] = isl_basic_map_range(map->p[i]);
if (!set->p[i])
return (struct isl_map *)set;
}
+__isl_give isl_map *isl_map_from_domain(__isl_take isl_set *set)
+{
+ return isl_map_reverse(isl_map_from_range(set));;
+}
+
+__isl_give isl_map *isl_map_from_domain_and_range(__isl_take isl_set *domain,
+ __isl_take isl_set *range)
+{
+ return isl_map_product(isl_map_from_domain(domain),
+ isl_map_from_range(range));
+}
+
struct isl_set *isl_set_from_map(struct isl_map *map)
{
int i;
if (!dim)
return NULL;
map = isl_map_alloc_dim(isl_dim_copy(dim), 1, ISL_MAP_DISJOINT);
- map = isl_map_add(map, isl_basic_map_universe(dim));
+ map = isl_map_add_basic_map(map, isl_basic_map_universe(dim));
return map;
}
if (!dim)
return NULL;
set = isl_set_alloc_dim(isl_dim_copy(dim), 1, ISL_MAP_DISJOINT);
- set = isl_set_add(set, isl_basic_set_universe(dim));
+ set = isl_set_add_basic_set(set, isl_basic_set_universe(dim));
return set;
}
return NULL;
dup = isl_map_alloc_dim(isl_dim_copy(map->dim), map->n, map->flags);
for (i = 0; i < map->n; ++i)
- dup = isl_map_add(dup, isl_basic_map_copy(map->p[i]));
+ dup = isl_map_add_basic_map(dup, isl_basic_map_copy(map->p[i]));
return dup;
}
-struct isl_map *isl_map_add(struct isl_map *map, struct isl_basic_map *bmap)
+__isl_give isl_map *isl_map_add_basic_map(__isl_take isl_map *map,
+ __isl_take isl_basic_map *bmap)
{
if (!bmap || !map)
goto error;
nparam, 0, dim);
}
-static struct isl_basic_map *isl_basic_map_fix_pos(struct isl_basic_map *bmap,
- unsigned pos, int value)
+static struct isl_basic_map *isl_basic_map_fix_pos_si(
+ struct isl_basic_map *bmap, unsigned pos, int value)
{
int j;
return NULL;
}
+static __isl_give isl_basic_map *isl_basic_map_fix_pos(
+ __isl_take isl_basic_map *bmap, unsigned pos, isl_int value)
+{
+ int j;
+
+ bmap = isl_basic_map_cow(bmap);
+ bmap = isl_basic_map_extend_constraints(bmap, 1, 0);
+ j = isl_basic_map_alloc_equality(bmap);
+ if (j < 0)
+ goto error;
+ isl_seq_clr(bmap->eq[j] + 1, isl_basic_map_total_dim(bmap));
+ isl_int_set_si(bmap->eq[j][pos], -1);
+ isl_int_set(bmap->eq[j][0], value);
+ bmap = isl_basic_map_simplify(bmap);
+ return isl_basic_map_finalize(bmap);
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
struct isl_basic_map *isl_basic_map_fix_si(struct isl_basic_map *bmap,
enum isl_dim_type type, unsigned pos, int value)
{
if (!bmap)
return NULL;
isl_assert(bmap->ctx, pos < isl_basic_map_dim(bmap, type), goto error);
- return isl_basic_map_fix_pos(bmap, isl_basic_map_offset(bmap, type) + pos,
- value);
+ return isl_basic_map_fix_pos_si(bmap,
+ isl_basic_map_offset(bmap, type) + pos, value);
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+__isl_give isl_basic_map *isl_basic_map_fix(__isl_take isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos, isl_int value)
+{
+ if (!bmap)
+ return NULL;
+ isl_assert(bmap->ctx, pos < isl_basic_map_dim(bmap, type), goto error);
+ return isl_basic_map_fix_pos(bmap,
+ isl_basic_map_offset(bmap, type) + pos, value);
error:
isl_basic_map_free(bmap);
return NULL;
type, pos, value);
}
+__isl_give isl_basic_set *isl_basic_set_fix(__isl_take isl_basic_set *bset,
+ enum isl_dim_type type, unsigned pos, isl_int value)
+{
+ return (struct isl_basic_set *)
+ isl_basic_map_fix((struct isl_basic_map *)bset,
+ type, pos, value);
+}
+
struct isl_basic_map *isl_basic_map_fix_input_si(struct isl_basic_map *bmap,
unsigned input, int value)
{
return NULL;
}
+__isl_give isl_set *isl_set_fix_si(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned pos, int value)
+{
+ return (struct isl_set *)
+ isl_map_fix_si((struct isl_map *)set, type, pos, value);
+}
+
+__isl_give isl_map *isl_map_fix(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned pos, isl_int value)
+{
+ int i;
+
+ map = isl_map_cow(map);
+ if (!map)
+ return NULL;
+
+ isl_assert(map->ctx, pos < isl_map_dim(map, type), goto error);
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_fix(map->p[i], type, pos, value);
+ if (!map->p[i])
+ goto error;
+ }
+ ISL_F_CLR(map, ISL_MAP_NORMALIZED);
+ return map;
+error:
+ isl_map_free(map);
+ return NULL;
+}
+
+__isl_give isl_set *isl_set_fix(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned pos, isl_int value)
+{
+ return (struct isl_set *)isl_map_fix((isl_map *)set, type, pos, value);
+}
+
struct isl_map *isl_map_fix_input_si(struct isl_map *map,
unsigned input, int value)
{
isl_map_fix_si((struct isl_map *)set, isl_dim_set, dim, value);
}
+__isl_give isl_basic_map *isl_basic_map_lower_bound_si(
+ __isl_take isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos, int value)
+{
+ int j;
+
+ if (!bmap)
+ return NULL;
+ isl_assert(bmap->ctx, pos < isl_basic_map_dim(bmap, type), goto error);
+ pos += isl_basic_map_offset(bmap, type);
+ bmap = isl_basic_map_cow(bmap);
+ bmap = isl_basic_map_extend_constraints(bmap, 0, 1);
+ j = isl_basic_map_alloc_inequality(bmap);
+ if (j < 0)
+ goto error;
+ isl_seq_clr(bmap->ineq[j], 1 + isl_basic_map_total_dim(bmap));
+ isl_int_set_si(bmap->ineq[j][pos], 1);
+ isl_int_set_si(bmap->ineq[j][0], -value);
+ bmap = isl_basic_map_simplify(bmap);
+ return isl_basic_map_finalize(bmap);
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
struct isl_basic_set *isl_basic_set_lower_bound_dim(struct isl_basic_set *bset,
unsigned dim, isl_int value)
{
return NULL;
}
+__isl_give isl_map *isl_map_lower_bound_si(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned pos, int value)
+{
+ int i;
+
+ map = isl_map_cow(map);
+ if (!map)
+ return NULL;
+
+ isl_assert(map->ctx, pos < isl_map_dim(map, type), goto error);
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_lower_bound_si(map->p[i],
+ type, pos, value);
+ if (!map->p[i])
+ goto error;
+ }
+ ISL_F_CLR(map, ISL_MAP_NORMALIZED);
+ return map;
+error:
+ isl_map_free(map);
+ return NULL;
+}
+
+__isl_give isl_set *isl_set_lower_bound_si(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned pos, int value)
+{
+ return (struct isl_set *)
+ isl_map_lower_bound_si((struct isl_map *)set, type, pos, value);
+}
+
struct isl_set *isl_set_lower_bound_dim(struct isl_set *set, unsigned dim,
isl_int value)
{
{
if (!bmap)
goto error;
- if (bmap->ctx->pip == ISL_PIP_PIP)
+ if (bmap->ctx->opt->pip == ISL_PIP_PIP)
return isl_pip_basic_map_lexopt(bmap, dom, empty, max);
else
return isl_tab_basic_map_partial_lexopt(bmap, dom, empty, max);
dom, empty);
}
-__isl_give isl_map *isl_basic_map_lexmin(__isl_take isl_basic_map *bmap)
+/* Given a basic map "bmap", compute the lexicograhically minimal
+ * (or maximal) image element for each domain element in dom.
+ * Set *empty to those elements in dom that do not have an image element.
+ *
+ * We first make sure the basic sets in dom are disjoint and then
+ * simply collect the results over each of the basic sets separately.
+ * We could probably improve the efficiency a bit by moving the union
+ * domain down into the parametric integer programming.
+ */
+static __isl_give isl_map *basic_map_partial_lexopt(
+ __isl_take isl_basic_map *bmap, __isl_take isl_set *dom,
+ __isl_give isl_set **empty, int max)
+{
+ int i;
+ struct isl_map *res;
+
+ dom = isl_set_make_disjoint(dom);
+ if (!dom)
+ goto error;
+
+ if (isl_set_fast_is_empty(dom)) {
+ res = isl_map_empty_like_basic_map(bmap);
+ *empty = isl_set_empty_like(dom);
+ isl_set_free(dom);
+ isl_basic_map_free(bmap);
+ return res;
+ }
+
+ res = isl_basic_map_partial_lexopt(isl_basic_map_copy(bmap),
+ isl_basic_set_copy(dom->p[0]), empty, max);
+
+ for (i = 1; i < dom->n; ++i) {
+ struct isl_map *res_i;
+ struct isl_set *empty_i;
+
+ res_i = isl_basic_map_partial_lexopt(isl_basic_map_copy(bmap),
+ isl_basic_set_copy(dom->p[i]), &empty_i, max);
+
+ res = isl_map_union_disjoint(res, res_i);
+ *empty = isl_set_union_disjoint(*empty, empty_i);
+ }
+
+ isl_set_free(dom);
+ isl_basic_map_free(bmap);
+ return res;
+error:
+ *empty = NULL;
+ isl_set_free(dom);
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+/* Given a map "map", compute the lexicograhically minimal
+ * (or maximal) image element for each domain element in dom.
+ * Set *empty to those elements in dom that do not have an image element.
+ *
+ * We first compute the lexicographically minimal or maximal element
+ * in the first basic map. This results in a partial solution "res"
+ * and a subset "todo" of dom that still need to be handled.
+ * We then consider each of the remaining maps in "map" and successively
+ * improve both "res" and "todo".
+ *
+ * Let res^k and todo^k be the results after k steps and let i = k + 1.
+ * Assume we are computing the lexicographical maximum.
+ * We first intersect basic map i with a relation that maps elements
+ * to elements that are lexicographically larger than the image elements
+ * in res^k and the compute the maximum image element of this intersection.
+ * The result ("better") corresponds to those image elements in basic map i
+ * that are better than what we had before. The remainder ("keep") are the
+ * domain elements for which the image element in res_k was better.
+ * We also compute the lexicographical maximum of basic map i in todo^k.
+ * res^i is the result of the operation + better + those elements in
+ * res^k that we should keep
+ * todo^i is the remainder of the maximum operation on todo^k.
+ */
+static __isl_give isl_map *isl_map_partial_lexopt(
+ __isl_take isl_map *map, __isl_take isl_set *dom,
+ __isl_give isl_set **empty, int max)
+{
+ int i;
+ struct isl_map *res;
+ struct isl_set *todo;
+
+ if (!map || !dom)
+ goto error;
+
+ if (isl_map_fast_is_empty(map)) {
+ if (empty)
+ *empty = dom;
+ else
+ isl_set_free(dom);
+ return map;
+ }
+
+ res = basic_map_partial_lexopt(isl_basic_map_copy(map->p[0]),
+ isl_set_copy(dom), &todo, max);
+
+ for (i = 1; i < map->n; ++i) {
+ struct isl_map *lt;
+ struct isl_map *better;
+ struct isl_set *keep;
+ struct isl_map *res_i;
+ struct isl_set *todo_i;
+ struct isl_dim *dim = isl_map_get_dim(res);
+
+ dim = isl_dim_range(dim);
+ if (max)
+ lt = isl_map_lex_lt(dim);
+ else
+ lt = isl_map_lex_gt(dim);
+ lt = isl_map_apply_range(isl_map_copy(res), lt);
+ lt = isl_map_intersect(lt,
+ isl_map_from_basic_map(isl_basic_map_copy(map->p[i])));
+ better = isl_map_partial_lexopt(lt,
+ isl_map_domain(isl_map_copy(res)),
+ &keep, max);
+
+ res_i = basic_map_partial_lexopt(isl_basic_map_copy(map->p[i]),
+ todo, &todo_i, max);
+
+ res = isl_map_intersect_domain(res, keep);
+ res = isl_map_union_disjoint(res, res_i);
+ res = isl_map_union_disjoint(res, better);
+ todo = todo_i;
+ }
+
+ isl_set_free(dom);
+ isl_map_free(map);
+
+ if (empty)
+ *empty = todo;
+ else
+ isl_set_free(todo);
+
+ return res;
+error:
+ if (empty)
+ *empty = NULL;
+ isl_set_free(dom);
+ isl_map_free(map);
+ return NULL;
+}
+
+__isl_give isl_map *isl_map_partial_lexmax(
+ __isl_take isl_map *map, __isl_take isl_set *dom,
+ __isl_give isl_set **empty)
+{
+ return isl_map_partial_lexopt(map, dom, empty, 1);
+}
+
+__isl_give isl_map *isl_map_partial_lexmin(
+ __isl_take isl_map *map, __isl_take isl_set *dom,
+ __isl_give isl_set **empty)
+{
+ return isl_map_partial_lexopt(map, dom, empty, 0);
+}
+
+__isl_give isl_set *isl_set_partial_lexmin(
+ __isl_take isl_set *set, __isl_take isl_set *dom,
+ __isl_give isl_set **empty)
+{
+ return (struct isl_set *)
+ isl_map_partial_lexmin((struct isl_map *)set,
+ dom, empty);
+}
+
+__isl_give isl_set *isl_set_partial_lexmax(
+ __isl_take isl_set *set, __isl_take isl_set *dom,
+ __isl_give isl_set **empty)
+{
+ return (struct isl_set *)
+ isl_map_partial_lexmax((struct isl_map *)set,
+ dom, empty);
+}
+
+__isl_give isl_map *isl_basic_map_lexopt(__isl_take isl_basic_map *bmap, int max)
{
struct isl_basic_set *dom = NULL;
- struct isl_map *min;
struct isl_dim *dom_dim;
if (!bmap)
goto error;
dom_dim = isl_dim_domain(isl_dim_copy(bmap->dim));
dom = isl_basic_set_universe(dom_dim);
- return isl_basic_map_partial_lexmin(bmap, dom, NULL);
+ return isl_basic_map_partial_lexopt(bmap, dom, NULL, max);
error:
isl_basic_map_free(bmap);
return NULL;
}
-__isl_give isl_set *isl_basic_set_lexmin(__isl_take isl_basic_set *bset)
+__isl_give isl_map *isl_basic_map_lexmin(__isl_take isl_basic_map *bmap)
+{
+ return isl_basic_map_lexopt(bmap, 0);
+}
+
+__isl_give isl_map *isl_basic_map_lexmax(__isl_take isl_basic_map *bmap)
+{
+ return isl_basic_map_lexopt(bmap, 1);
+}
+
+__isl_give isl_set *isl_basic_set_lexmin(__isl_take isl_basic_set *bset)
+{
+ return (isl_set *)isl_basic_map_lexmin((isl_basic_map *)bset);
+}
+
+__isl_give isl_set *isl_basic_set_lexmax(__isl_take isl_basic_set *bset)
+{
+ return (isl_set *)isl_basic_map_lexmax((isl_basic_map *)bset);
+}
+
+__isl_give isl_map *isl_map_lexopt(__isl_take isl_map *map, int max)
+{
+ struct isl_set *dom = NULL;
+ struct isl_dim *dom_dim;
+
+ if (!map)
+ goto error;
+ dom_dim = isl_dim_domain(isl_dim_copy(map->dim));
+ dom = isl_set_universe(dom_dim);
+ return isl_map_partial_lexopt(map, dom, NULL, max);
+error:
+ isl_map_free(map);
+ return NULL;
+}
+
+__isl_give isl_map *isl_map_lexmin(__isl_take isl_map *map)
+{
+ return isl_map_lexopt(map, 0);
+}
+
+__isl_give isl_map *isl_map_lexmax(__isl_take isl_map *map)
+{
+ return isl_map_lexopt(map, 1);
+}
+
+__isl_give isl_set *isl_set_lexmin(__isl_take isl_set *set)
{
- return (isl_set *)isl_basic_map_lexmin((isl_basic_map *)bset);
+ return (isl_set *)isl_map_lexmin((isl_map *)set);
+}
+
+__isl_give isl_set *isl_set_lexmax(__isl_take isl_set *set)
+{
+ return (isl_set *)isl_map_lexmax((isl_map *)set);
}
static struct isl_map *isl_map_reset_dim(struct isl_map *map,
}
isl_mat_free(eq);
+ bset = isl_basic_set_gauss(bset, NULL);
+ bset = isl_basic_set_finalize(bset);
+
return bset;
error:
isl_mat_free(eq);
0, 1 + nparam);
eq = isl_mat_cow(eq);
T = isl_mat_variable_compression(isl_mat_copy(eq), &T2);
+ if (T && T->n_col == 0) {
+ isl_mat_free(T);
+ isl_mat_free(T2);
+ isl_mat_free(eq);
+ bset = isl_basic_set_set_to_empty(bset);
+ return isl_set_from_basic_set(bset);
+ }
bset = basic_set_parameter_preimage(bset, T);
set = isl_basic_set_lexmin(bset);
{
int i;
int known;
+ struct isl_map *map;
known = basic_map_divs_known(bmap);
if (known < 0)
if (known)
return isl_map_from_basic_map(bmap);
- struct isl_map *map = compute_divs(bmap);
+ map = compute_divs(bmap);
return map;
error:
isl_basic_map_free(bmap);
if (!map)
goto error;
for (i = 0; i < map1->n; ++i) {
- map = isl_map_add(map,
+ map = isl_map_add_basic_map(map,
isl_basic_map_copy(map1->p[i]));
if (!map)
goto error;
}
for (i = 0; i < map2->n; ++i) {
- map = isl_map_add(map,
+ map = isl_map_add_basic_map(map,
isl_basic_map_copy(map2->p[i]));
if (!map)
goto error;
goto error;
for (i = 0; i < map->n; ++i)
for (j = 0; j < set->n; ++j) {
- result = isl_map_add(result,
+ result = isl_map_add_basic_map(result,
isl_basic_map_intersect_range(
isl_basic_map_copy(map->p[i]),
isl_basic_set_copy(set->p[j])));
goto error;
for (i = 0; i < map1->n; ++i)
for (j = 0; j < map2->n; ++j) {
- result = isl_map_add(result,
+ result = isl_map_add_basic_map(result,
isl_basic_map_apply_range(
isl_basic_map_copy(map1->p[i]),
isl_basic_map_copy(map2->p[j])));
*/
struct isl_basic_set *isl_basic_map_deltas(struct isl_basic_map *bmap)
{
+ isl_dim *dims;
struct isl_basic_set *bset;
unsigned dim;
unsigned nparam;
isl_assert(bmap->ctx, dim == isl_basic_map_n_out(bmap), goto error);
bset = isl_basic_set_from_basic_map(bmap);
bset = isl_basic_set_cow(bset);
- bset = isl_basic_set_extend(bset, nparam, 3*dim, 0, dim, 0);
+ dims = isl_basic_set_get_dim(bset);
+ dims = isl_dim_add(dims, isl_dim_set, dim);
+ bset = isl_basic_set_extend_dim(bset, dims, 0, dim, 0);
bset = isl_basic_set_swap_vars(bset, 2*dim);
for (i = 0; i < dim; ++i) {
int j = isl_basic_map_alloc_equality(
struct isl_set *isl_map_deltas(struct isl_map *map)
{
int i;
+ isl_dim *dim;
struct isl_set *result;
if (!map)
return NULL;
isl_assert(map->ctx, isl_map_n_in(map) == isl_map_n_out(map), goto error);
- result = isl_set_alloc(map->ctx, isl_map_n_param(map),
- isl_map_n_in(map), map->n, map->flags);
+ dim = isl_map_get_dim(map);
+ dim = isl_dim_domain(dim);
+ result = isl_set_alloc_dim(dim, map->n, map->flags);
if (!result)
goto error;
for (i = 0; i < map->n; ++i)
- result = isl_set_add(result,
+ result = isl_set_add_basic_set(result,
isl_basic_map_deltas(isl_basic_map_copy(map->p[i])));
isl_map_free(map);
return result;
static struct isl_map *map_identity(struct isl_dim *dim)
{
struct isl_map *map = isl_map_alloc_dim(dim, 1, ISL_MAP_DISJOINT);
- return isl_map_add(map, basic_map_identity(isl_dim_copy(dim)));
+ return isl_map_add_basic_map(map, basic_map_identity(isl_dim_copy(dim)));
}
struct isl_map *isl_map_identity(struct isl_dim *set_dim)
return NULL;
}
-int isl_set_is_equal(struct isl_set *set1, struct isl_set *set2)
+__isl_give isl_set *isl_set_split_dims(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned first, unsigned n)
{
- return isl_map_is_equal((struct isl_map *)set1, (struct isl_map *)set2);
+ int i;
+ isl_basic_set *nonneg = NULL;
+ isl_basic_set *neg = NULL;
+
+ if (!set)
+ return NULL;
+ if (n == 0)
+ return set;
+
+ isl_assert(set->ctx, first + n <= isl_set_dim(set, type), goto error);
+
+ for (i = 0; i < n; ++i) {
+ int k;
+
+ neg = NULL;
+ nonneg = isl_basic_set_alloc_dim(isl_set_get_dim(set), 0, 0, 1);
+ k = isl_basic_set_alloc_inequality(nonneg);
+ if (k < 0)
+ goto error;
+ isl_seq_clr(nonneg->ineq[k], 1 + isl_basic_set_total_dim(nonneg));
+ isl_int_set_si(nonneg->ineq[k][pos(set->dim, type) + first + i], 1);
+
+ neg = isl_basic_set_alloc_dim(isl_set_get_dim(set), 0, 0, 1);
+ k = isl_basic_set_alloc_inequality(neg);
+ if (k < 0)
+ goto error;
+ isl_seq_clr(neg->ineq[k], 1 + isl_basic_set_total_dim(neg));
+ isl_int_set_si(neg->ineq[k][0], -1);
+ isl_int_set_si(neg->ineq[k][pos(set->dim, type) + first + i], -1);
+
+ set = isl_set_intersect(set, isl_basic_set_union(nonneg, neg));
+ }
+
+ return set;
+error:
+ isl_basic_set_free(nonneg);
+ isl_basic_set_free(neg);
+ isl_set_free(set);
+ return NULL;
}
-int isl_set_is_subset(struct isl_set *set1, struct isl_set *set2)
+int isl_set_is_equal(struct isl_set *set1, struct isl_set *set2)
{
- return isl_map_is_subset(
- (struct isl_map *)set1, (struct isl_map *)set2);
+ return isl_map_is_equal((struct isl_map *)set1, (struct isl_map *)set2);
}
int isl_basic_map_is_subset(
int isl_map_fast_is_empty(struct isl_map *map)
{
- return map->n == 0;
-}
-
-int isl_set_is_empty(struct isl_set *set)
-{
- return isl_map_is_empty((struct isl_map *)set);
-}
-
-/* Return 1 if "bmap" contains a single element.
- */
-int isl_basic_map_is_singleton(__isl_keep isl_basic_map *bmap)
-{
- if (!bmap)
- return -1;
- if (bmap->n_div)
- return 0;
- if (bmap->n_ineq)
- return 0;
- return bmap->n_eq == isl_basic_map_total_dim(bmap);
-}
-
-/* Return 1 if "map" contains a single element.
- */
-int isl_map_is_singleton(__isl_keep isl_map *map)
-{
- if (!map)
- return -1;
- if (map->n != 1)
- return 0;
-
- return isl_basic_map_is_singleton(map->p[0]);
-}
-
-/* Given a singleton basic map, extract the single element
- * as an isl_vec.
- */
-static __isl_give isl_vec *singleton_extract_point(__isl_keep isl_basic_map *bmap)
-{
- int i, j;
- unsigned dim;
- struct isl_vec *point;
- isl_int m;
-
- if (!bmap)
- return NULL;
-
- dim = isl_basic_map_total_dim(bmap);
- isl_assert(bmap->ctx, bmap->n_eq == dim, return NULL);
- point = isl_vec_alloc(bmap->ctx, 1 + dim);
- if (!point)
- return NULL;
-
- isl_int_init(m);
-
- isl_int_set_si(point->el[0], 1);
- for (j = 0; j < bmap->n_eq; ++j) {
- int s;
- int i = dim - 1 - j;
- isl_assert(bmap->ctx,
- isl_seq_first_non_zero(bmap->eq[j] + 1, i) == -1,
- goto error);
- isl_assert(bmap->ctx,
- isl_int_is_one(bmap->eq[j][1 + i]) ||
- isl_int_is_negone(bmap->eq[j][1 + i]),
- goto error);
- isl_assert(bmap->ctx,
- isl_seq_first_non_zero(bmap->eq[j]+1+i+1, dim-i-1) == -1,
- goto error);
-
- isl_int_gcd(m, point->el[0], bmap->eq[j][1 + i]);
- isl_int_divexact(m, bmap->eq[j][1 + i], m);
- isl_int_abs(m, m);
- isl_seq_scale(point->el, point->el, m, 1 + i);
- isl_int_divexact(m, point->el[0], bmap->eq[j][1 + i]);
- isl_int_neg(m, m);
- isl_int_mul(point->el[1 + i], m, bmap->eq[j][0]);
- }
-
- isl_int_clear(m);
- return point;
-error:
- isl_int_clear(m);
- isl_vec_free(point);
- return NULL;
-}
-
-/* Return 1 if "bmap" contains the point "point".
- * "bmap" is assumed to have known divs.
- * The point is first extended with the divs and then passed
- * to basic_map_contains.
- */
-static int basic_map_contains_point(__isl_keep isl_basic_map *bmap,
- __isl_keep isl_vec *point)
-{
- int i;
- struct isl_vec *vec;
- unsigned dim;
- int contains;
-
- if (!bmap || !point)
- return -1;
- if (bmap->n_div == 0)
- return basic_map_contains(bmap, point);
-
- dim = isl_basic_map_total_dim(bmap) - bmap->n_div;
- vec = isl_vec_alloc(bmap->ctx, 1 + dim + bmap->n_div);
- if (!vec)
- return -1;
-
- isl_seq_cpy(vec->el, point->el, point->size);
- for (i = 0; i < bmap->n_div; ++i) {
- isl_seq_inner_product(bmap->div[i] + 1, vec->el,
- 1 + dim + i, &vec->el[1+dim+i]);
- isl_int_fdiv_q(vec->el[1+dim+i], vec->el[1+dim+i],
- bmap->div[i][0]);
- }
-
- contains = basic_map_contains(bmap, vec);
-
- isl_vec_free(vec);
- return contains;
+ return map ? map->n == 0 : -1;
}
-/* Return 1 is the singleton map "map1" is a subset of "map2",
- * i.e., if the single element of "map1" is also an element of "map2".
- */
-static int map_is_singleton_subset(__isl_keep isl_map *map1,
- __isl_keep isl_map *map2)
+int isl_set_fast_is_empty(struct isl_set *set)
{
- int i;
- int is_subset = 0;
- struct isl_vec *point;
-
- if (!map1 || !map2)
- return -1;
- if (map1->n != 1)
- return -1;
-
- point = singleton_extract_point(map1->p[0]);
- if (!point)
- return -1;
-
- for (i = 0; i < map2->n; ++i) {
- is_subset = basic_map_contains_point(map2->p[i], point);
- if (is_subset)
- break;
- }
-
- isl_vec_free(point);
- return is_subset;
+ return set ? set->n == 0 : -1;
}
-int isl_map_is_subset(struct isl_map *map1, struct isl_map *map2)
+int isl_set_is_empty(struct isl_set *set)
{
- int is_subset = 0;
- struct isl_map *diff;
-
- if (!map1 || !map2)
- return -1;
-
- if (isl_map_is_empty(map1))
- return 1;
-
- if (isl_map_is_empty(map2))
- return 0;
-
- if (isl_map_fast_is_universe(map2))
- return 1;
-
- map2 = isl_map_compute_divs(isl_map_copy(map2));
- if (isl_map_is_singleton(map1)) {
- is_subset = map_is_singleton_subset(map1, map2);
- isl_map_free(map2);
- return is_subset;
- }
- diff = isl_map_subtract(isl_map_copy(map1), map2);
- if (!diff)
- return -1;
-
- is_subset = isl_map_is_empty(diff);
- isl_map_free(diff);
-
- return is_subset;
+ return isl_map_is_empty((struct isl_map *)set);
}
int isl_map_is_equal(struct isl_map *map1, struct isl_map *map2)
return map->n == 1 && isl_basic_map_is_universe(map->p[0]);
}
+int isl_set_fast_is_universe(__isl_keep isl_set *set)
+{
+ return isl_map_fast_is_universe((isl_map *) set);
+}
+
int isl_basic_map_is_empty(struct isl_basic_map *bmap)
{
struct isl_basic_set *bset = NULL;
if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL)) {
struct isl_basic_map *copy = isl_basic_map_copy(bmap);
- copy = isl_basic_map_convex_hull(copy);
+ copy = isl_basic_map_remove_redundancies(copy);
empty = ISL_F_ISSET(copy, ISL_BASIC_MAP_EMPTY);
isl_basic_map_free(copy);
return empty;
total = 1 + isl_basic_map_total_dim(bmap);
if (bmap->sample && bmap->sample->size == total) {
- int contains = basic_map_contains(bmap, bmap->sample);
+ int contains = isl_basic_map_contains(bmap, bmap->sample);
if (contains < 0)
return -1;
if (contains)
map = isl_map_alloc_dim(isl_dim_copy(bmap1->dim), 2, 0);
if (!map)
goto error;
- map = isl_map_add(map, bmap1);
- map = isl_map_add(map, bmap2);
+ map = isl_map_add_basic_map(map, bmap1);
+ map = isl_map_add_basic_map(map, bmap2);
return map;
error:
isl_basic_map_free(bmap1);
struct isl_basic_map *isl_basic_map_order_divs(struct isl_basic_map *bmap)
{
int i;
- unsigned off = isl_dim_total(bmap->dim);
+ unsigned off;
+
+ if (!bmap)
+ return NULL;
+
+ off = isl_dim_total(bmap->dim);
for (i = 0; i < bmap->n_div; ++i) {
int pos;
isl_basic_map_order_divs((struct isl_basic_map *)bset);
}
+__isl_give isl_map *isl_map_order_divs(__isl_take isl_map *map)
+{
+ int i;
+
+ if (!map)
+ return 0;
+
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_order_divs(map->p[i]);
+ if (!map->p[i])
+ goto error;
+ }
+
+ return map;
+error:
+ isl_map_free(map);
+ return NULL;
+}
+
/* Look for a div in dst that corresponds to the div "div" in src.
* The divs before "div" in src and dst are assumed to be the same.
*
goto error;
isl_seq_cpy(dst->div[j], src->div[i], 1+1+total+i);
isl_seq_clr(dst->div[j]+1+1+total+i, dst->n_div - i);
- if (add_div_constraints(dst, j) < 0)
+ if (isl_basic_map_add_div_constraints(dst, j) < 0)
goto error;
}
if (j != i)
return (struct isl_set *)isl_map_align_divs((struct isl_map *)set);
}
-static struct isl_map *add_cut_constraint(struct isl_map *dst,
- struct isl_basic_map *src, isl_int *c,
- unsigned len, int oppose)
-{
- struct isl_basic_map *copy = NULL;
- int is_empty;
- int k;
- unsigned total;
-
- copy = isl_basic_map_copy(src);
- copy = isl_basic_map_cow(copy);
- if (!copy)
- goto error;
- copy = isl_basic_map_extend_constraints(copy, 0, 1);
- k = isl_basic_map_alloc_inequality(copy);
- if (k < 0)
- goto error;
- if (oppose)
- isl_seq_neg(copy->ineq[k], c, len);
- else
- isl_seq_cpy(copy->ineq[k], c, len);
- total = 1 + isl_basic_map_total_dim(copy);
- isl_seq_clr(copy->ineq[k]+len, total - len);
- isl_inequality_negate(copy, k);
- copy = isl_basic_map_simplify(copy);
- copy = isl_basic_map_finalize(copy);
- is_empty = isl_basic_map_is_empty(copy);
- if (is_empty < 0)
- goto error;
- if (!is_empty)
- dst = isl_map_add(dst, copy);
- else
- isl_basic_map_free(copy);
- return dst;
-error:
- isl_basic_map_free(copy);
- isl_map_free(dst);
- return NULL;
-}
-
-static struct isl_map *subtract(struct isl_map *map, struct isl_basic_map *bmap)
-{
- int i, j, k;
- unsigned flags = 0;
- struct isl_map *rest = NULL;
- unsigned max;
- unsigned total = isl_basic_map_total_dim(bmap);
-
- map = isl_map_cow(map);
-
- if (!map || !bmap)
- goto error;
-
- if (ISL_F_ISSET(map, ISL_MAP_DISJOINT))
- ISL_FL_SET(flags, ISL_MAP_DISJOINT);
-
- max = map->n * (2 * bmap->n_eq + bmap->n_ineq);
- rest = isl_map_alloc_dim(isl_dim_copy(map->dim), max, flags);
- if (!rest)
- goto error;
-
- for (i = 0; i < map->n; ++i) {
- map->p[i] = isl_basic_map_align_divs(map->p[i], bmap);
- if (!map->p[i])
- goto error;
- }
-
- for (j = 0; j < map->n; ++j)
- map->p[j] = isl_basic_map_cow(map->p[j]);
-
- for (i = 0; i < bmap->n_eq; ++i) {
- for (j = 0; j < map->n; ++j) {
- rest = add_cut_constraint(rest,
- map->p[j], bmap->eq[i], 1+total, 0);
- if (!rest)
- goto error;
-
- rest = add_cut_constraint(rest,
- map->p[j], bmap->eq[i], 1+total, 1);
- if (!rest)
- goto error;
-
- map->p[j] = isl_basic_map_extend_constraints(map->p[j],
- 1, 0);
- if (!map->p[j])
- goto error;
- k = isl_basic_map_alloc_equality(map->p[j]);
- if (k < 0)
- goto error;
- isl_seq_cpy(map->p[j]->eq[k], bmap->eq[i], 1+total);
- isl_seq_clr(map->p[j]->eq[k]+1+total,
- map->p[j]->n_div - bmap->n_div);
- }
- }
-
- for (i = 0; i < bmap->n_ineq; ++i) {
- for (j = 0; j < map->n; ++j) {
- rest = add_cut_constraint(rest,
- map->p[j], bmap->ineq[i], 1+total, 0);
- if (!rest)
- goto error;
-
- map->p[j] = isl_basic_map_extend_constraints(map->p[j],
- 0, 1);
- if (!map->p[j])
- goto error;
- k = isl_basic_map_alloc_inequality(map->p[j]);
- if (k < 0)
- goto error;
- isl_seq_cpy(map->p[j]->ineq[k], bmap->ineq[i], 1+total);
- isl_seq_clr(map->p[j]->ineq[k]+1+total,
- map->p[j]->n_div - bmap->n_div);
- }
- }
-
- isl_map_free(map);
- return rest;
-error:
- isl_map_free(map);
- isl_map_free(rest);
- return NULL;
-}
-
-struct isl_map *isl_map_subtract(struct isl_map *map1, struct isl_map *map2)
-{
- int i;
- if (!map1 || !map2)
- goto error;
-
- isl_assert(map1->ctx, isl_dim_equal(map1->dim, map2->dim), goto error);
-
- if (isl_map_is_empty(map2)) {
- isl_map_free(map2);
- return map1;
- }
-
- map1 = isl_map_compute_divs(map1);
- map2 = isl_map_compute_divs(map2);
- if (!map1 || !map2)
- goto error;
-
- map1 = isl_map_remove_empty_parts(map1);
- map2 = isl_map_remove_empty_parts(map2);
-
- for (i = 0; map1 && i < map2->n; ++i)
- map1 = subtract(map1, map2->p[i]);
-
- isl_map_free(map2);
- return map1;
-error:
- isl_map_free(map1);
- isl_map_free(map2);
- return NULL;
-}
-
-struct isl_set *isl_set_subtract(struct isl_set *set1, struct isl_set *set2)
-{
- return (struct isl_set *)
- isl_map_subtract(
- (struct isl_map *)set1, (struct isl_map *)set2);
-}
-
struct isl_set *isl_set_apply(struct isl_set *set, struct isl_map *map)
{
if (!set || !map)
isl_map_copy_basic_map((struct isl_map *)set);
}
-struct isl_map *isl_map_drop_basic_map(struct isl_map *map,
- struct isl_basic_map *bmap)
+__isl_give isl_map *isl_map_drop_basic_map(__isl_take isl_map *map,
+ __isl_keep isl_basic_map *bmap)
{
int i;
map->n--;
return map;
}
- isl_basic_map_free(bmap);
return map;
error:
isl_map_free(map);
- isl_basic_map_free(bmap);
return NULL;
}
(struct isl_basic_map *)bset);
}
-/* Given two _disjoint_ basic sets bset1 and bset2, check whether
- * for any common value of the parameters and dimensions preceding dim
- * in both basic sets, the values of dimension pos in bset1 are
- * smaller or larger than those in bset2.
- *
- * Returns
- * 1 if bset1 follows bset2
- * -1 if bset1 precedes bset2
- * 0 if bset1 and bset2 are incomparable
- * -2 if some error occurred.
- */
-int isl_basic_set_compare_at(struct isl_basic_set *bset1,
- struct isl_basic_set *bset2, int pos)
+/* Given two basic sets bset1 and bset2, compute the maximal difference
+ * between the values of dimension pos in bset1 and those in bset2
+ * for any common value of the parameters and dimensions preceding pos.
+ */
+static enum isl_lp_result basic_set_maximal_difference_at(
+ __isl_keep isl_basic_set *bset1, __isl_keep isl_basic_set *bset2,
+ int pos, isl_int *opt)
{
struct isl_dim *dims;
struct isl_basic_map *bmap1 = NULL;
unsigned total;
unsigned nparam;
unsigned dim1, dim2;
- isl_int num, den;
enum isl_lp_result res;
- int cmp;
if (!bset1 || !bset2)
- return -2;
+ return isl_lp_error;
nparam = isl_basic_set_n_param(bset1);
dim1 = isl_basic_set_n_dim(bset1);
isl_int_set_si(obj->block.data[1+nparam+pos+(dim1-pos)], -1);
if (!obj)
goto error;
- isl_int_init(num);
- isl_int_init(den);
- res = isl_basic_map_solve_lp(bmap1, 0, obj->block.data, ctx->one,
- &num, &den, NULL);
+ res = isl_basic_map_solve_lp(bmap1, 1, obj->block.data, ctx->one,
+ opt, NULL, NULL);
+ isl_basic_map_free(bmap1);
+ isl_vec_free(obj);
+ return res;
+error:
+ isl_basic_map_free(bmap1);
+ isl_basic_map_free(bmap2);
+ return isl_lp_error;
+}
+
+/* Given two _disjoint_ basic sets bset1 and bset2, check whether
+ * for any common value of the parameters and dimensions preceding pos
+ * in both basic sets, the values of dimension pos in bset1 are
+ * smaller or larger than those in bset2.
+ *
+ * Returns
+ * 1 if bset1 follows bset2
+ * -1 if bset1 precedes bset2
+ * 0 if bset1 and bset2 are incomparable
+ * -2 if some error occurred.
+ */
+int isl_basic_set_compare_at(struct isl_basic_set *bset1,
+ struct isl_basic_set *bset2, int pos)
+{
+ isl_int opt;
+ enum isl_lp_result res;
+ int cmp;
+
+ isl_int_init(opt);
+
+ res = basic_set_maximal_difference_at(bset1, bset2, pos, &opt);
+
if (res == isl_lp_empty)
cmp = 0;
- else if (res == isl_lp_ok && isl_int_is_pos(num))
+ else if ((res == isl_lp_ok && isl_int_is_pos(opt)) ||
+ res == isl_lp_unbounded)
cmp = 1;
- else if ((res == isl_lp_ok && isl_int_is_neg(num)) ||
+ else if (res == isl_lp_ok && isl_int_is_neg(opt))
+ cmp = -1;
+ else
+ cmp = -2;
+
+ isl_int_clear(opt);
+ return cmp;
+}
+
+/* Given two basic sets bset1 and bset2, check whether
+ * for any common value of the parameters and dimensions preceding pos
+ * there is a value of dimension pos in bset1 that is larger
+ * than a value of the same dimension in bset2.
+ *
+ * Return
+ * 1 if there exists such a pair
+ * 0 if there is no such pair, but there is a pair of equal values
+ * -1 otherwise
+ * -2 if some error occurred.
+ */
+int isl_basic_set_follows_at(__isl_keep isl_basic_set *bset1,
+ __isl_keep isl_basic_set *bset2, int pos)
+{
+ isl_int opt;
+ enum isl_lp_result res;
+ int cmp;
+
+ isl_int_init(opt);
+
+ res = basic_set_maximal_difference_at(bset1, bset2, pos, &opt);
+
+ if (res == isl_lp_empty)
+ cmp = -1;
+ else if ((res == isl_lp_ok && isl_int_is_pos(opt)) ||
res == isl_lp_unbounded)
+ cmp = 1;
+ else if (res == isl_lp_ok && isl_int_is_neg(opt))
cmp = -1;
+ else if (res == isl_lp_ok)
+ cmp = 0;
else
cmp = -2;
- isl_int_clear(num);
- isl_int_clear(den);
- isl_basic_map_free(bmap1);
- isl_vec_free(obj);
+
+ isl_int_clear(opt);
return cmp;
-error:
- isl_basic_map_free(bmap1);
- isl_basic_map_free(bmap2);
- return -2;
+}
+
+/* Given two sets set1 and set2, check whether
+ * for any common value of the parameters and dimensions preceding pos
+ * there is a value of dimension pos in set1 that is larger
+ * than a value of the same dimension in set2.
+ *
+ * Return
+ * 1 if there exists such a pair
+ * 0 if there is no such pair, but there is a pair of equal values
+ * -1 otherwise
+ * -2 if some error occurred.
+ */
+int isl_set_follows_at(__isl_keep isl_set *set1,
+ __isl_keep isl_set *set2, int pos)
+{
+ int i, j;
+ int follows = -1;
+
+ if (!set1 || !set2)
+ return -2;
+
+ for (i = 0; i < set1->n; ++i)
+ for (j = 0; j < set2->n; ++j) {
+ int f;
+ f = isl_basic_set_follows_at(set1->p[i], set2->p[j], pos);
+ if (f == 1 || f == -2)
+ return f;
+ if (f > follows)
+ follows = f;
+ }
+
+ return follows;
}
static int isl_basic_map_fast_has_fixed_var(struct isl_basic_map *bmap,
return NULL;
}
+__isl_give isl_basic_set *isl_basic_set_sort_constraints(
+ __isl_take isl_basic_set *bset)
+{
+ return (struct isl_basic_set *)isl_basic_map_sort_constraints(
+ (struct isl_basic_map *)bset);
+}
+
struct isl_basic_map *isl_basic_map_normalize(struct isl_basic_map *bmap)
{
if (!bmap)
return NULL;
if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_NORMALIZED))
return bmap;
- bmap = isl_basic_map_convex_hull(bmap);
+ bmap = isl_basic_map_remove_redundancies(bmap);
bmap = isl_basic_map_sort_constraints(bmap);
ISL_F_SET(bmap, ISL_BASIC_MAP_NORMALIZED);
return bmap;
(struct isl_basic_map *)bset);
}
-static int isl_basic_map_fast_cmp(const struct isl_basic_map *bmap1,
- const struct isl_basic_map *bmap2)
+int isl_basic_map_fast_cmp(const __isl_keep isl_basic_map *bmap1,
+ const __isl_keep isl_basic_map *bmap2)
{
int i, cmp;
unsigned total;
return 0;
}
-static int isl_basic_map_fast_is_equal(struct isl_basic_map *bmap1,
- struct isl_basic_map *bmap2)
+int isl_basic_map_fast_is_equal(__isl_keep isl_basic_map *bmap1,
+ __isl_keep isl_basic_map *bmap2)
{
return isl_basic_map_fast_cmp(bmap1, bmap2) == 0;
}
+int isl_basic_set_fast_is_equal(__isl_keep isl_basic_set *bset1,
+ __isl_keep isl_basic_set *bset2)
+{
+ return isl_basic_map_fast_is_equal((isl_basic_map *)bset1,
+ (isl_basic_map *)bset2);
+}
+
static int qsort_bmap_cmp(const void *p1, const void *p2)
{
const struct isl_basic_map *bmap1 = *(const struct isl_basic_map **)p1;
if (isl_basic_map_is_empty(part))
isl_basic_map_free(part);
else
- result = isl_map_add(result, part);
+ result = isl_map_add_basic_map(result, part);
if (!result)
goto error;
}
return 0;
}
+__isl_give isl_basic_set *isl_basic_set_lift(__isl_take isl_basic_set *bset)
+{
+ struct isl_dim *dim;
+
+ if (!bset)
+ return NULL;
+
+ if (bset->n_div == 0)
+ return bset;
+
+ bset = isl_basic_set_cow(bset);
+ if (!bset)
+ return NULL;
+
+ dim = isl_basic_set_get_dim(bset);
+ dim = isl_dim_add(dim, isl_dim_set, bset->n_div);
+ if (!dim)
+ goto error;
+ isl_dim_free(bset->dim);
+ bset->dim = dim;
+ bset->n_div = 0;
+
+ bset = isl_basic_set_finalize(bset);
+
+ return bset;
+error:
+ isl_basic_set_free(bset);
+ return NULL;
+}
+
+__isl_give isl_set *isl_set_lift(__isl_take isl_set *set)
+{
+ int i;
+ struct isl_dim *dim;
+ unsigned n_div;
+
+ set = isl_set_align_divs(set);
+
+ if (!set)
+ return NULL;
+ if (set->n == 0 || set->p[0]->n_div == 0)
+ return set;
+
+ set = isl_set_cow(set);
+ if (!set)
+ return NULL;
+
+ n_div = set->p[0]->n_div;
+ dim = isl_set_get_dim(set);
+ dim = isl_dim_add(dim, isl_dim_set, n_div);
+ if (!dim)
+ goto error;
+ isl_dim_free(set->dim);
+ set->dim = dim;
+
+ for (i = 0; i < set->n; ++i) {
+ set->p[i] = isl_basic_set_lift(set->p[i]);
+ if (!set->p[i])
+ goto error;
+ }
+
+ return set;
+error:
+ isl_set_free(set);
+ return NULL;
+}
+
__isl_give isl_map *isl_set_lifting(__isl_take isl_set *set)
{
struct isl_dim *dim;
return size;
}
+
+int isl_basic_map_dim_is_bounded(__isl_keep isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos)
+{
+ int i;
+ int lower, upper;
+
+ if (!bmap)
+ return -1;
+
+ isl_assert(bmap->ctx, pos < isl_basic_map_dim(bmap, type), return -1);
+
+ pos += isl_basic_map_offset(bmap, type);
+
+ for (i = 0; i < bmap->n_eq; ++i)
+ if (!isl_int_is_zero(bmap->eq[i][pos]))
+ return 1;
+
+ lower = upper = 0;
+ for (i = 0; i < bmap->n_ineq; ++i) {
+ int sgn = isl_int_sgn(bmap->ineq[i][pos]);
+ if (sgn > 0)
+ lower = 1;
+ if (sgn < 0)
+ upper = 1;
+ }
+
+ return lower && upper;
+}
+
+int isl_map_dim_is_bounded(__isl_keep isl_map *map,
+ enum isl_dim_type type, unsigned pos)
+{
+ int i;
+
+ if (!map)
+ return -1;
+
+ for (i = 0; i < map->n; ++i) {
+ int bounded;
+ bounded = isl_basic_map_dim_is_bounded(map->p[i], type, pos);
+ if (bounded < 0 || !bounded)
+ return bounded;
+ }
+
+ return 1;
+}
+
+/* Return 1 if the specified dim is involved in both an upper bound
+ * and a lower bound.
+ */
+int isl_set_dim_is_bounded(__isl_keep isl_set *set,
+ enum isl_dim_type type, unsigned pos)
+{
+ return isl_map_dim_is_bounded((isl_map *)set, type, pos);
+}
+
+/* For each of the "n" variables starting at "first", determine
+ * the sign of the variable and put the results in the first "n"
+ * elements of the array "signs".
+ * Sign
+ * 1 means that the variable is non-negative
+ * -1 means that the variable is non-positive
+ * 0 means the variable attains both positive and negative values.
+ */
+int isl_basic_set_vars_get_sign(__isl_keep isl_basic_set *bset,
+ unsigned first, unsigned n, int *signs)
+{
+ isl_vec *bound = NULL;
+ struct isl_tab *tab = NULL;
+ struct isl_tab_undo *snap;
+ int i;
+
+ if (!bset || !signs)
+ return -1;
+
+ bound = isl_vec_alloc(bset->ctx, 1 + isl_basic_set_total_dim(bset));
+ tab = isl_tab_from_basic_set(bset);
+ if (!bound || !tab)
+ goto error;
+
+ isl_seq_clr(bound->el, bound->size);
+ isl_int_set_si(bound->el[0], -1);
+
+ snap = isl_tab_snap(tab);
+ for (i = 0; i < n; ++i) {
+ int empty;
+
+ isl_int_set_si(bound->el[1 + first + i], -1);
+ if (isl_tab_add_ineq(tab, bound->el) < 0)
+ goto error;
+ empty = tab->empty;
+ isl_int_set_si(bound->el[1 + first + i], 0);
+ if (isl_tab_rollback(tab, snap) < 0)
+ goto error;
+
+ if (empty) {
+ signs[i] = 1;
+ continue;
+ }
+
+ isl_int_set_si(bound->el[1 + first + i], 1);
+ if (isl_tab_add_ineq(tab, bound->el) < 0)
+ goto error;
+ empty = tab->empty;
+ isl_int_set_si(bound->el[1 + first + i], 0);
+ if (isl_tab_rollback(tab, snap) < 0)
+ goto error;
+
+ signs[i] = empty ? -1 : 0;
+ }
+
+ isl_tab_free(tab);
+ isl_vec_free(bound);
+ return 0;
+error:
+ isl_tab_free(tab);
+ isl_vec_free(bound);
+ return -1;
+}
+
+int isl_basic_set_dims_get_sign(__isl_keep isl_basic_set *bset,
+ enum isl_dim_type type, unsigned first, unsigned n, int *signs)
+{
+ if (!bset || !signs)
+ return -1;
+ isl_assert(bset->ctx, first + n <= isl_basic_set_dim(bset, type),
+ return -1);
+
+ first += pos(bset->dim, type) - 1;
+ return isl_basic_set_vars_get_sign(bset, first, n, signs);
+}
+
+/* Check if the given map is single-valued.
+ * We simply compute
+ *
+ * M \circ M^-1
+ *
+ * and check if the result is a subset of the identity mapping.
+ */
+int isl_map_is_single_valued(__isl_keep isl_map *map)
+{
+ isl_map *test;
+ isl_map *id;
+ int sv;
+
+ test = isl_map_reverse(isl_map_copy(map));
+ test = isl_map_apply_range(test, isl_map_copy(map));
+
+ id = isl_map_identity(isl_dim_range(isl_map_get_dim(map)));
+
+ sv = isl_map_is_subset(test, id);
+
+ isl_map_free(test);
+ isl_map_free(id);
+
+ return sv;
+}
+
+int isl_map_is_bijective(__isl_keep isl_map *map)
+{
+ int sv;
+
+ sv = isl_map_is_single_valued(map);
+ if (sv < 0 || !sv)
+ return sv;
+
+ map = isl_map_copy(map);
+ map = isl_map_reverse(map);
+ sv = isl_map_is_single_valued(map);
+ isl_map_free(map);
+
+ return sv;
+}
+
+int isl_set_is_singleton(__isl_keep isl_set *set)
+{
+ return isl_map_is_single_valued((isl_map *)set);
+}
+
+int isl_map_is_translation(__isl_keep isl_map *map)
+{
+ int ok;
+ isl_set *delta;
+
+ delta = isl_map_deltas(isl_map_copy(map));
+ ok = isl_set_is_singleton(delta);
+ isl_set_free(delta);
+
+ return ok;
+}
+
+static int unique(isl_int *p, unsigned pos, unsigned len)
+{
+ if (isl_seq_first_non_zero(p, pos) != -1)
+ return 0;
+ if (isl_seq_first_non_zero(p + pos + 1, len - pos - 1) != -1)
+ return 0;
+ return 1;
+}
+
+int isl_basic_set_is_box(__isl_keep isl_basic_set *bset)
+{
+ int i, j;
+ unsigned nvar;
+ unsigned ovar;
+
+ if (!bset)
+ return -1;
+
+ if (isl_basic_set_dim(bset, isl_dim_div) != 0)
+ return 0;
+
+ nvar = isl_basic_set_dim(bset, isl_dim_set);
+ ovar = isl_dim_offset(bset->dim, isl_dim_set);
+ for (j = 0; j < nvar; ++j) {
+ int lower = 0, upper = 0;
+ for (i = 0; i < bset->n_eq; ++i) {
+ if (isl_int_is_zero(bset->eq[i][1 + ovar + j]))
+ continue;
+ if (!unique(bset->eq[i] + 1 + ovar, j, nvar))
+ return 0;
+ break;
+ }
+ if (i < bset->n_eq)
+ continue;
+ for (i = 0; i < bset->n_ineq; ++i) {
+ if (isl_int_is_zero(bset->ineq[i][1 + ovar + j]))
+ continue;
+ if (!unique(bset->ineq[i] + 1 + ovar, j, nvar))
+ return 0;
+ if (isl_int_is_pos(bset->ineq[i][1 + ovar + j]))
+ lower = 1;
+ else
+ upper = 1;
+ }
+ if (!lower || !upper)
+ return 0;
+ }
+
+ return 1;
+}
+
+int isl_set_is_box(__isl_keep isl_set *set)
+{
+ if (!set)
+ return -1;
+ if (set->n != 1)
+ return 0;
+
+ return isl_basic_set_is_box(set->p[0]);
+}
projects / platform / upstream / isl.git / blobdiff