/*
* Copyright 2008-2009 Katholieke Universiteit Leuven
* Copyright 2010 INRIA Saclay
+ * Copyright 2012-2013 Ecole Normale Superieure
*
- * Use of this software is governed by the GNU LGPLv2.1 license
+ * Use of this software is governed by the MIT 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
+ * and Ecole Normale Superieure, 45 rue d’Ulm, 75230 Paris, France
*/
#include <string.h>
#include <isl_ctx_private.h>
#include <isl_map_private.h>
#include <isl/blk.h>
-#include "isl_dim_private.h"
+#include "isl_space_private.h"
#include "isl_equalities.h"
-#include <isl_list_private.h>
#include <isl/lp.h>
#include <isl/seq.h>
#include <isl/set.h>
#include <isl_dim_map.h>
#include <isl_local_space_private.h>
#include <isl_aff_private.h>
+#include <isl_options_private.h>
+#include <isl_morph.h>
-static unsigned n(struct isl_dim *dim, enum isl_dim_type type)
+static unsigned n(__isl_keep isl_space *dim, enum isl_dim_type type)
{
switch (type) {
case isl_dim_param: return dim->nparam;
}
}
-static unsigned pos(struct isl_dim *dim, enum isl_dim_type type)
+static unsigned pos(__isl_keep isl_space *dim, enum isl_dim_type type)
{
switch (type) {
case isl_dim_param: return 1;
}
}
-unsigned isl_basic_map_dim(const struct isl_basic_map *bmap,
+unsigned isl_basic_map_dim(__isl_keep isl_basic_map *bmap,
enum isl_dim_type type)
{
if (!bmap)
case isl_dim_cst: return 1;
case isl_dim_param:
case isl_dim_in:
- case isl_dim_out: return isl_dim_size(bmap->dim, type);
+ case isl_dim_out: return isl_space_dim(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)
+unsigned isl_map_dim(__isl_keep isl_map *map, enum isl_dim_type type)
{
return map ? n(map->dim, type) : 0;
}
-unsigned isl_set_dim(const struct isl_set *set, enum isl_dim_type type)
+unsigned isl_set_dim(__isl_keep isl_set *set, enum isl_dim_type type)
{
return set ? n(set->dim, type) : 0;
}
unsigned isl_basic_map_offset(struct isl_basic_map *bmap,
enum isl_dim_type type)
{
- struct isl_dim *dim = bmap->dim;
+ isl_space *dim = bmap->dim;
switch (type) {
case isl_dim_cst: return 0;
case isl_dim_param: return 1;
return pos(map->dim, type);
}
-unsigned isl_basic_set_dim(const struct isl_basic_set *bset,
+unsigned isl_basic_set_dim(__isl_keep isl_basic_set *bset,
enum isl_dim_type type)
{
- return isl_basic_map_dim((const struct isl_basic_map*)bset, type);
+ return isl_basic_map_dim(bset, type);
}
-unsigned isl_basic_set_n_dim(const struct isl_basic_set *bset)
+unsigned isl_basic_set_n_dim(__isl_keep isl_basic_set *bset)
{
return isl_basic_set_dim(bset, isl_dim_set);
}
-unsigned isl_basic_set_n_param(const struct isl_basic_set *bset)
+unsigned isl_basic_set_n_param(__isl_keep isl_basic_set *bset)
{
return isl_basic_set_dim(bset, isl_dim_param);
}
unsigned isl_basic_set_total_dim(const struct isl_basic_set *bset)
{
- return isl_dim_total(bset->dim) + bset->n_div;
+ if (!bset)
+ return 0;
+ return isl_space_dim(bset->dim, isl_dim_all) + bset->n_div;
}
-unsigned isl_set_n_dim(const struct isl_set *set)
+unsigned isl_set_n_dim(__isl_keep isl_set *set)
{
return isl_set_dim(set, isl_dim_set);
}
-unsigned isl_set_n_param(const struct isl_set *set)
+unsigned isl_set_n_param(__isl_keep isl_set *set)
{
return isl_set_dim(set, isl_dim_param);
}
unsigned isl_basic_map_total_dim(const struct isl_basic_map *bmap)
{
- return bmap ? isl_dim_total(bmap->dim) + bmap->n_div : 0;
+ return bmap ? isl_space_dim(bmap->dim, isl_dim_all) + bmap->n_div : 0;
}
unsigned isl_map_n_in(const struct isl_map *map)
int m;
if (!map || !set)
return -1;
- m = isl_dim_match(map->dim, isl_dim_param, set->dim, isl_dim_param);
+ m = isl_space_match(map->dim, isl_dim_param, set->dim, isl_dim_param);
if (m < 0 || !m)
return m;
- return isl_dim_tuple_match(map->dim, isl_dim_in, set->dim, isl_dim_set);
+ return isl_space_tuple_match(map->dim, isl_dim_in, set->dim, isl_dim_set);
}
int isl_basic_map_compatible_domain(struct isl_basic_map *bmap,
int m;
if (!bmap || !bset)
return -1;
- m = isl_dim_match(bmap->dim, isl_dim_param, bset->dim, isl_dim_param);
+ m = isl_space_match(bmap->dim, isl_dim_param, bset->dim, isl_dim_param);
if (m < 0 || !m)
return m;
- return isl_dim_tuple_match(bmap->dim, isl_dim_in, bset->dim, isl_dim_set);
+ return isl_space_tuple_match(bmap->dim, isl_dim_in, bset->dim, isl_dim_set);
}
int isl_map_compatible_range(__isl_keep isl_map *map, __isl_keep isl_set *set)
int m;
if (!map || !set)
return -1;
- m = isl_dim_match(map->dim, isl_dim_param, set->dim, isl_dim_param);
+ m = isl_space_match(map->dim, isl_dim_param, set->dim, isl_dim_param);
if (m < 0 || !m)
return m;
- return isl_dim_tuple_match(map->dim, isl_dim_out, set->dim, isl_dim_set);
+ return isl_space_tuple_match(map->dim, isl_dim_out, set->dim, isl_dim_set);
}
int isl_basic_map_compatible_range(struct isl_basic_map *bmap,
int m;
if (!bmap || !bset)
return -1;
- m = isl_dim_match(bmap->dim, isl_dim_param, bset->dim, isl_dim_param);
+ m = isl_space_match(bmap->dim, isl_dim_param, bset->dim, isl_dim_param);
if (m < 0 || !m)
return m;
- return isl_dim_tuple_match(bmap->dim, isl_dim_out, bset->dim, isl_dim_set);
+ return isl_space_tuple_match(bmap->dim, isl_dim_out, bset->dim, isl_dim_set);
}
isl_ctx *isl_basic_map_get_ctx(__isl_keep isl_basic_map *bmap)
return set ? set->ctx : NULL;
}
-struct isl_dim *isl_basic_map_get_dim(struct isl_basic_map *bmap)
+__isl_give isl_space *isl_basic_map_get_space(__isl_keep isl_basic_map *bmap)
{
if (!bmap)
return NULL;
- return isl_dim_copy(bmap->dim);
+ return isl_space_copy(bmap->dim);
}
-struct isl_dim *isl_basic_set_get_dim(struct isl_basic_set *bset)
+__isl_give isl_space *isl_basic_set_get_space(__isl_keep isl_basic_set *bset)
{
if (!bset)
return NULL;
- return isl_dim_copy(bset->dim);
+ return isl_space_copy(bset->dim);
}
-__isl_give isl_local_space *isl_basic_map_get_local_space(
- __isl_keep isl_basic_map *bmap)
+/* Extract the divs in "bmap" as a matrix.
+ */
+__isl_give isl_mat *isl_basic_map_get_divs(__isl_keep isl_basic_map *bmap)
{
int i;
- isl_local_space *ls;
+ isl_ctx *ctx;
+ isl_mat *div;
unsigned total;
+ unsigned cols;
if (!bmap)
return NULL;
- total = isl_basic_map_total_dim(bmap);
- ls = isl_local_space_alloc(isl_dim_copy(bmap->dim), bmap->n_div);
- if (!ls)
+ ctx = isl_basic_map_get_ctx(bmap);
+ total = isl_space_dim(bmap->dim, isl_dim_all);
+ cols = 1 + 1 + total + bmap->n_div;
+ div = isl_mat_alloc(ctx, bmap->n_div, cols);
+ if (!div)
return NULL;
for (i = 0; i < bmap->n_div; ++i)
- isl_seq_cpy(ls->div->row[i], bmap->div[i], 2 + total);
+ isl_seq_cpy(div->row[i], bmap->div[i], cols);
+
+ return div;
+}
+
+__isl_give isl_local_space *isl_basic_map_get_local_space(
+ __isl_keep isl_basic_map *bmap)
+{
+ isl_mat *div;
+
+ if (!bmap)
+ return NULL;
- return ls;
+ div = isl_basic_map_get_divs(bmap);
+ return isl_local_space_alloc_div(isl_space_copy(bmap->dim), div);
}
__isl_give isl_local_space *isl_basic_set_get_local_space(
return NULL;
n_div = isl_local_space_dim(ls, isl_dim_div);
- bmap = isl_basic_map_alloc_dim(isl_local_space_get_dim(ls),
+ bmap = isl_basic_map_alloc_space(isl_local_space_get_space(ls),
n_div, 0, 2 * n_div);
for (i = 0; i < n_div; ++i)
return isl_basic_map_from_local_space(ls);
}
-struct isl_dim *isl_map_get_dim(struct isl_map *map)
+__isl_give isl_space *isl_map_get_space(__isl_keep isl_map *map)
{
if (!map)
return NULL;
- return isl_dim_copy(map->dim);
+ return isl_space_copy(map->dim);
}
-struct isl_dim *isl_set_get_dim(struct isl_set *set)
+__isl_give isl_space *isl_set_get_space(__isl_keep isl_set *set)
{
if (!set)
return NULL;
- return isl_dim_copy(set->dim);
+ return isl_space_copy(set->dim);
}
__isl_give isl_basic_map *isl_basic_map_set_tuple_name(
bmap = isl_basic_map_cow(bmap);
if (!bmap)
return NULL;
- bmap->dim = isl_dim_set_tuple_name(bmap->dim, type, s);
+ bmap->dim = isl_space_set_tuple_name(bmap->dim, type, s);
if (!bmap->dim)
goto error;
bmap = isl_basic_map_finalize(bmap);
const char *isl_basic_map_get_tuple_name(__isl_keep isl_basic_map *bmap,
enum isl_dim_type type)
{
- return bmap ? isl_dim_get_tuple_name(bmap->dim, type) : NULL;
+ return bmap ? isl_space_get_tuple_name(bmap->dim, type) : NULL;
}
__isl_give isl_map *isl_map_set_tuple_name(__isl_take isl_map *map,
if (!map)
return NULL;
- map->dim = isl_dim_set_tuple_name(map->dim, type, s);
+ map->dim = isl_space_set_tuple_name(map->dim, type, s);
if (!map->dim)
goto error;
return NULL;
}
+/* Does the input or output tuple have a name?
+ */
+int isl_map_has_tuple_name(__isl_keep isl_map *map, enum isl_dim_type type)
+{
+ return map ? isl_space_has_tuple_name(map->dim, type) : -1;
+}
+
const char *isl_map_get_tuple_name(__isl_keep isl_map *map,
enum isl_dim_type type)
{
- return map ? isl_dim_get_tuple_name(map->dim, type) : NULL;
+ return map ? isl_space_get_tuple_name(map->dim, type) : NULL;
}
__isl_give isl_set *isl_set_set_tuple_name(__isl_take isl_set *set,
if (!map)
return isl_id_free(id);
- map->dim = isl_dim_set_tuple_id(map->dim, type, id);
+ map->dim = isl_space_set_tuple_id(map->dim, type, id);
- return isl_map_reset_dim(map, isl_dim_copy(map->dim));
+ return isl_map_reset_space(map, isl_space_copy(map->dim));
}
__isl_give isl_set *isl_set_set_tuple_id(__isl_take isl_set *set,
if (!map)
return NULL;
- map->dim = isl_dim_reset_tuple_id(map->dim, type);
+ map->dim = isl_space_reset_tuple_id(map->dim, type);
+
+ return isl_map_reset_space(map, isl_space_copy(map->dim));
+}
+
+__isl_give isl_set *isl_set_reset_tuple_id(__isl_take isl_set *set)
+{
+ return isl_map_reset_tuple_id(set, isl_dim_set);
+}
- return isl_map_reset_dim(map, isl_dim_copy(map->dim));
+int isl_map_has_tuple_id(__isl_keep isl_map *map, enum isl_dim_type type)
+{
+ return map ? isl_space_has_tuple_id(map->dim, type) : -1;
}
__isl_give isl_id *isl_map_get_tuple_id(__isl_keep isl_map *map,
enum isl_dim_type type)
{
- return map ? isl_dim_get_tuple_id(map->dim, type) : NULL;
+ return map ? isl_space_get_tuple_id(map->dim, type) : NULL;
+}
+
+int isl_set_has_tuple_id(__isl_keep isl_set *set)
+{
+ return isl_map_has_tuple_id(set, isl_dim_set);
}
__isl_give isl_id *isl_set_get_tuple_id(__isl_keep isl_set *set)
return isl_map_get_tuple_id(set, isl_dim_set);
}
+/* Does the set tuple have a name?
+ */
+int isl_set_has_tuple_name(__isl_keep isl_set *set)
+{
+ return set ? isl_space_has_tuple_name(set->dim, isl_dim_set) : -1;
+}
+
+
const char *isl_basic_set_get_tuple_name(__isl_keep isl_basic_set *bset)
{
- return bset ? isl_dim_get_tuple_name(bset->dim, isl_dim_set) : NULL;
+ return bset ? isl_space_get_tuple_name(bset->dim, isl_dim_set) : NULL;
}
const char *isl_set_get_tuple_name(__isl_keep isl_set *set)
{
- return set ? isl_dim_get_tuple_name(set->dim, isl_dim_set) : NULL;
+ return set ? isl_space_get_tuple_name(set->dim, isl_dim_set) : NULL;
}
const char *isl_basic_map_get_dim_name(__isl_keep isl_basic_map *bmap,
enum isl_dim_type type, unsigned pos)
{
- return bmap ? isl_dim_get_name(bmap->dim, type, pos) : NULL;
+ return bmap ? isl_space_get_dim_name(bmap->dim, type, pos) : NULL;
}
const char *isl_basic_set_get_dim_name(__isl_keep isl_basic_set *bset,
enum isl_dim_type type, unsigned pos)
{
- return bset ? isl_dim_get_name(bset->dim, type, pos) : NULL;
+ return bset ? isl_space_get_dim_name(bset->dim, type, pos) : NULL;
+}
+
+/* Does the given dimension have a name?
+ */
+int isl_map_has_dim_name(__isl_keep isl_map *map,
+ enum isl_dim_type type, unsigned pos)
+{
+ return map ? isl_space_has_dim_name(map->dim, type, pos) : -1;
}
const char *isl_map_get_dim_name(__isl_keep isl_map *map,
enum isl_dim_type type, unsigned pos)
{
- return map ? isl_dim_get_name(map->dim, type, pos) : NULL;
+ return map ? isl_space_get_dim_name(map->dim, type, pos) : NULL;
}
const char *isl_set_get_dim_name(__isl_keep isl_set *set,
enum isl_dim_type type, unsigned pos)
{
- return set ? isl_dim_get_name(set->dim, type, pos) : NULL;
+ return set ? isl_space_get_dim_name(set->dim, type, pos) : NULL;
+}
+
+/* Does the given dimension have a name?
+ */
+int isl_set_has_dim_name(__isl_keep isl_set *set,
+ enum isl_dim_type type, unsigned pos)
+{
+ return set ? isl_space_has_dim_name(set->dim, type, pos) : -1;
}
__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)
{
+ bmap = isl_basic_map_cow(bmap);
if (!bmap)
return NULL;
- bmap->dim = isl_dim_set_name(bmap->dim, type, pos, s);
+ bmap->dim = isl_space_set_dim_name(bmap->dim, type, pos, s);
if (!bmap->dim)
goto error;
- return bmap;
+ return isl_basic_map_finalize(bmap);
error:
isl_basic_map_free(bmap);
return NULL;
{
int i;
+ map = isl_map_cow(map);
if (!map)
return NULL;
- map->dim = isl_dim_set_name(map->dim, type, pos, s);
+ map->dim = isl_space_set_dim_name(map->dim, type, pos, s);
if (!map->dim)
goto error;
return (isl_set *)isl_map_set_dim_name((isl_map *)set, type, pos, s);
}
+int isl_basic_map_has_dim_id(__isl_keep isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos)
+{
+ return bmap ? isl_space_has_dim_id(bmap->dim, type, pos) : -1;
+}
+
+__isl_give isl_id *isl_basic_set_get_dim_id(__isl_keep isl_basic_set *bset,
+ enum isl_dim_type type, unsigned pos)
+{
+ return bset ? isl_space_get_dim_id(bset->dim, type, pos) : NULL;
+}
+
+int isl_map_has_dim_id(__isl_keep isl_map *map,
+ enum isl_dim_type type, unsigned pos)
+{
+ return map ? isl_space_has_dim_id(map->dim, type, pos) : -1;
+}
+
__isl_give isl_id *isl_map_get_dim_id(__isl_keep isl_map *map,
enum isl_dim_type type, unsigned pos)
{
- return map ? isl_dim_get_dim_id(map->dim, type, pos) : NULL;
+ return map ? isl_space_get_dim_id(map->dim, type, pos) : NULL;
+}
+
+int isl_set_has_dim_id(__isl_keep isl_set *set,
+ enum isl_dim_type type, unsigned pos)
+{
+ return isl_map_has_dim_id(set, type, pos);
}
__isl_give isl_id *isl_set_get_dim_id(__isl_keep isl_set *set,
if (!map)
return isl_id_free(id);
- map->dim = isl_dim_set_dim_id(map->dim, type, pos, id);
+ map->dim = isl_space_set_dim_id(map->dim, type, pos, id);
- return isl_map_reset_dim(map, isl_dim_copy(map->dim));
+ return isl_map_reset_space(map, isl_space_copy(map->dim));
}
__isl_give isl_set *isl_set_set_dim_id(__isl_take isl_set *set,
{
if (!map)
return -1;
- return isl_dim_find_dim_by_id(map->dim, type, id);
+ return isl_space_find_dim_by_id(map->dim, type, id);
}
int isl_set_find_dim_by_id(__isl_keep isl_set *set, enum isl_dim_type type,
return isl_map_find_dim_by_id(set, type, id);
}
+int isl_map_find_dim_by_name(__isl_keep isl_map *map, enum isl_dim_type type,
+ const char *name)
+{
+ if (!map)
+ return -1;
+ return isl_space_find_dim_by_name(map->dim, type, name);
+}
+
+int isl_set_find_dim_by_name(__isl_keep isl_set *set, enum isl_dim_type type,
+ const char *name)
+{
+ return isl_map_find_dim_by_name(set, type, name);
+}
+
int isl_basic_map_is_rational(__isl_keep isl_basic_map *bmap)
{
if (!bmap)
return isl_basic_map_is_rational(bset);
}
+/* Does "bmap" contain any rational points?
+ *
+ * If "bmap" has an equality for each dimension, equating the dimension
+ * to an integer constant, then it has no rational points, even if it
+ * is marked as rational.
+ */
+int isl_basic_map_has_rational(__isl_keep isl_basic_map *bmap)
+{
+ int has_rational = 1;
+ unsigned total;
+
+ if (!bmap)
+ return -1;
+ if (isl_basic_map_plain_is_empty(bmap))
+ return 0;
+ if (!isl_basic_map_is_rational(bmap))
+ return 0;
+ bmap = isl_basic_map_copy(bmap);
+ bmap = isl_basic_map_implicit_equalities(bmap);
+ if (!bmap)
+ return -1;
+ total = isl_basic_map_total_dim(bmap);
+ if (bmap->n_eq == total) {
+ int i, j;
+ for (i = 0; i < bmap->n_eq; ++i) {
+ j = isl_seq_first_non_zero(bmap->eq[i] + 1, total);
+ if (j < 0)
+ break;
+ if (!isl_int_is_one(bmap->eq[i][1 + j]) &&
+ !isl_int_is_negone(bmap->eq[i][1 + j]))
+ break;
+ j = isl_seq_first_non_zero(bmap->eq[i] + 1 + j + 1,
+ total - j - 1);
+ if (j >= 0)
+ break;
+ }
+ if (i == bmap->n_eq)
+ has_rational = 0;
+ }
+ isl_basic_map_free(bmap);
+
+ return has_rational;
+}
+
+/* Does "map" contain any rational points?
+ */
+int isl_map_has_rational(__isl_keep isl_map *map)
+{
+ int i;
+ int has_rational;
+
+ if (!map)
+ return -1;
+ for (i = 0; i < map->n; ++i) {
+ has_rational = isl_basic_map_has_rational(map->p[i]);
+ if (has_rational < 0)
+ return -1;
+ if (has_rational)
+ return 1;
+ }
+ return 0;
+}
+
+/* Does "set" contain any rational points?
+ */
+int isl_set_has_rational(__isl_keep isl_set *set)
+{
+ return isl_map_has_rational(set);
+}
+
+/* Is this basic set a parameter domain?
+ */
+int isl_basic_set_is_params(__isl_keep isl_basic_set *bset)
+{
+ if (!bset)
+ return -1;
+ return isl_space_is_params(bset->dim);
+}
+
+/* Is this set a parameter domain?
+ */
+int isl_set_is_params(__isl_keep isl_set *set)
+{
+ if (!set)
+ return -1;
+ return isl_space_is_params(set->dim);
+}
+
+/* Is this map actually a parameter domain?
+ * Users should never call this function. Outside of isl,
+ * a map can never be a parameter domain.
+ */
+int isl_map_is_params(__isl_keep isl_map *map)
+{
+ if (!map)
+ return -1;
+ return isl_space_is_params(map->dim);
+}
+
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;
+ size_t row_size = 1 + isl_space_dim(bmap->dim, isl_dim_all) + extra;
bmap->ctx = ctx;
isl_ctx_ref(ctx);
unsigned n_eq, unsigned n_ineq)
{
struct isl_basic_map *bmap;
- bmap = isl_basic_map_alloc(ctx, nparam, 0, dim, extra, n_eq, n_ineq);
+ isl_space *space;
+
+ space = isl_space_set_alloc(ctx, nparam, dim);
+ if (!space)
+ return NULL;
+
+ bmap = isl_basic_map_alloc_space(space, extra, n_eq, n_ineq);
return (struct isl_basic_set *)bmap;
}
-struct isl_basic_set *isl_basic_set_alloc_dim(struct isl_dim *dim,
+struct isl_basic_set *isl_basic_set_alloc_space(__isl_take isl_space *dim,
unsigned extra, unsigned n_eq, unsigned n_ineq)
{
struct isl_basic_map *bmap;
if (!dim)
return NULL;
isl_assert(dim->ctx, dim->n_in == 0, goto error);
- bmap = isl_basic_map_alloc_dim(dim, extra, n_eq, n_ineq);
+ bmap = isl_basic_map_alloc_space(dim, extra, n_eq, n_ineq);
return (struct isl_basic_set *)bmap;
error:
- isl_dim_free(dim);
+ isl_space_free(dim);
return NULL;
}
-struct isl_basic_map *isl_basic_map_alloc_dim(struct isl_dim *dim,
+struct isl_basic_map *isl_basic_map_alloc_space(__isl_take isl_space *dim,
unsigned extra, unsigned n_eq, unsigned n_ineq)
{
struct isl_basic_map *bmap;
return basic_map_init(dim->ctx, bmap, extra, n_eq, n_ineq);
error:
- isl_dim_free(dim);
+ isl_space_free(dim);
return NULL;
}
unsigned n_eq, unsigned n_ineq)
{
struct isl_basic_map *bmap;
- struct isl_dim *dim;
+ isl_space *dim;
- dim = isl_dim_alloc(ctx, nparam, in, out);
+ dim = isl_space_alloc(ctx, nparam, in, out);
if (!dim)
return NULL;
- bmap = isl_basic_map_alloc_dim(dim, extra, n_eq, n_ineq);
+ bmap = isl_basic_map_alloc_space(dim, extra, n_eq, n_ineq);
return bmap;
}
if (!bmap)
return NULL;
- dup = isl_basic_map_alloc_dim(isl_dim_copy(bmap->dim),
+ dup = isl_basic_map_alloc_space(isl_space_copy(bmap->dim),
bmap->n_div, bmap->n_eq, bmap->n_ineq);
if (!dup)
return NULL;
return map;
}
-void isl_basic_map_free(struct isl_basic_map *bmap)
+void *isl_basic_map_free(__isl_take isl_basic_map *bmap)
{
if (!bmap)
- return;
+ return NULL;
if (--bmap->ref > 0)
- return;
+ return NULL;
isl_ctx_deref(bmap->ctx);
free(bmap->div);
free(bmap->ineq);
isl_blk_free(bmap->ctx, bmap->block);
isl_vec_free(bmap->sample);
- isl_dim_free(bmap->dim);
+ isl_space_free(bmap->dim);
free(bmap);
+
+ return NULL;
}
-void isl_basic_set_free(struct isl_basic_set *bset)
+void *isl_basic_set_free(struct isl_basic_set *bset)
{
- isl_basic_map_free((struct isl_basic_map *)bset);
+ return isl_basic_map_free((struct isl_basic_map *)bset);
}
static int room_for_con(struct isl_basic_map *bmap, unsigned n)
{
if (!map1 || !map2)
goto error;
- if (isl_dim_match(map1->dim, isl_dim_param, map2->dim, isl_dim_param))
+ if (isl_space_match(map1->dim, isl_dim_param, map2->dim, isl_dim_param))
return fn(map1, map2);
- if (!isl_dim_has_named_params(map1->dim) ||
- !isl_dim_has_named_params(map2->dim))
+ if (!isl_space_has_named_params(map1->dim) ||
+ !isl_space_has_named_params(map2->dim))
isl_die(map1->ctx, isl_error_invalid,
"unaligned unnamed parameters", goto error);
- map1 = isl_map_align_params(map1, isl_map_get_dim(map2));
- map2 = isl_map_align_params(map2, isl_map_get_dim(map1));
+ map1 = isl_map_align_params(map1, isl_map_get_space(map2));
+ map2 = isl_map_align_params(map2, isl_map_get_space(map1));
return fn(map1, map2);
error:
isl_map_free(map1);
return NULL;
}
-static int align_params_map_map_and_test(__isl_keep isl_map *map1,
+int isl_map_align_params_map_map_and_test(__isl_keep isl_map *map1,
__isl_keep isl_map *map2,
int (*fn)(__isl_keep isl_map *map1, __isl_keep isl_map *map2))
{
if (!map1 || !map2)
return -1;
- if (isl_dim_match(map1->dim, isl_dim_param, map2->dim, isl_dim_param))
+ if (isl_space_match(map1->dim, isl_dim_param, map2->dim, isl_dim_param))
return fn(map1, map2);
- if (!isl_dim_has_named_params(map1->dim) ||
- !isl_dim_has_named_params(map2->dim))
+ if (!isl_space_has_named_params(map1->dim) ||
+ !isl_space_has_named_params(map2->dim))
isl_die(map1->ctx, isl_error_invalid,
"unaligned unnamed parameters", return -1);
map1 = isl_map_copy(map1);
map2 = isl_map_copy(map2);
- map1 = isl_map_align_params(map1, isl_map_get_dim(map2));
- map2 = isl_map_align_params(map2, isl_map_get_dim(map1));
+ map1 = isl_map_align_params(map1, isl_map_get_space(map2));
+ map2 = isl_map_align_params(map2, isl_map_get_space(map1));
r = fn(map1, map2);
isl_map_free(map1);
isl_map_free(map2);
return isl_basic_map_drop_equality((struct isl_basic_map *)bset, pos);
}
+/* Turn inequality "pos" of "bmap" into an equality.
+ *
+ * In particular, we move the inequality in front of the equalities
+ * and move the last inequality in the position of the moved inequality.
+ * Note that isl_tab_make_equalities_explicit depends on this particular
+ * change in the ordering of the constraints.
+ */
void isl_basic_map_inequality_to_equality(
struct isl_basic_map *bmap, unsigned pos)
{
(struct isl_basic_map *)bset2, 0, pos);
}
-struct isl_basic_map *isl_basic_map_extend_dim(struct isl_basic_map *base,
- struct isl_dim *dim, unsigned extra,
+struct isl_basic_map *isl_basic_map_extend_space(struct isl_basic_map *base,
+ __isl_take isl_space *dim, unsigned extra,
unsigned n_eq, unsigned n_ineq)
{
struct isl_basic_map *ext;
if (!base)
goto error;
- dims_ok = isl_dim_equal(base->dim, dim) &&
+ dims_ok = isl_space_is_equal(base->dim, dim) &&
base->extra >= base->n_div + extra;
if (dims_ok && room_for_con(base, n_eq + n_ineq) &&
room_for_ineq(base, n_ineq)) {
- isl_dim_free(dim);
+ isl_space_free(dim);
return base;
}
n_eq += base->n_eq;
n_ineq += base->n_ineq;
- ext = isl_basic_map_alloc_dim(dim, extra, n_eq, n_ineq);
+ ext = isl_basic_map_alloc_space(dim, extra, n_eq, n_ineq);
dim = NULL;
if (!ext)
goto error;
return ext;
error:
- isl_dim_free(dim);
+ isl_space_free(dim);
isl_basic_map_free(base);
return NULL;
}
-struct isl_basic_set *isl_basic_set_extend_dim(struct isl_basic_set *base,
- struct isl_dim *dim, unsigned extra,
+struct isl_basic_set *isl_basic_set_extend_space(struct isl_basic_set *base,
+ __isl_take isl_space *dim, unsigned extra,
unsigned n_eq, unsigned n_ineq)
{
return (struct isl_basic_set *)
- isl_basic_map_extend_dim((struct isl_basic_map *)base, dim,
+ isl_basic_map_extend_space((struct isl_basic_map *)base, dim,
extra, n_eq, n_ineq);
}
{
if (!base)
return NULL;
- return isl_basic_map_extend_dim(base, isl_dim_copy(base->dim),
+ return isl_basic_map_extend_space(base, isl_space_copy(base->dim),
0, n_eq, n_ineq);
}
unsigned n_eq, unsigned n_ineq)
{
struct isl_basic_map *bmap;
- struct isl_dim *dim;
+ isl_space *dim;
if (!base)
return NULL;
- dim = isl_dim_alloc(base->ctx, nparam, n_in, n_out);
+ dim = isl_space_alloc(base->ctx, nparam, n_in, n_out);
if (!dim)
goto error;
- bmap = isl_basic_map_extend_dim(base, dim, extra, n_eq, n_ineq);
+ bmap = isl_basic_map_extend_space(base, dim, extra, n_eq, n_ineq);
return bmap;
error:
isl_basic_map_free(base);
unsigned dim;
unsigned nparam;
+ if (!bset)
+ return NULL;
+
nparam = isl_basic_set_n_param(bset);
dim = isl_basic_set_n_dim(bset);
isl_assert(bset->ctx, n <= dim, goto error);
isl_basic_map_set_to_empty((struct isl_basic_map *)bset);
}
-void isl_basic_map_swap_div(struct isl_basic_map *bmap, int a, int b)
+/* Swap divs "a" and "b" in "bmap" (without modifying any of the constraints
+ * of "bmap").
+ */
+static void swap_div(__isl_keep isl_basic_map *bmap, int a, int b)
{
- int i;
- unsigned off = isl_dim_total(bmap->dim);
isl_int *t = bmap->div[a];
bmap->div[a] = bmap->div[b];
bmap->div[b] = t;
+}
+
+/* Swap divs "a" and "b" in "bmap" and adjust the constraints and
+ * div definitions accordingly.
+ */
+void isl_basic_map_swap_div(struct isl_basic_map *bmap, int a, int b)
+{
+ int i;
+ unsigned off = isl_space_dim(bmap->dim, isl_dim_all);
+
+ swap_div(bmap, a, b);
for (i = 0; i < bmap->n_eq; ++i)
isl_int_swap(bmap->eq[i][1+off+a], bmap->eq[i][1+off+b]);
}
/* Eliminate the specified n dimensions starting at first from the
- * constraints using Fourier-Motzkin. The dimensions themselves
- * are not removed.
+ * constraints, without removing the dimensions from the space.
+ * If the set is rational, the dimensions are eliminated using Fourier-Motzkin.
*/
__isl_give isl_map *isl_map_eliminate(__isl_take isl_map *map,
enum isl_dim_type type, unsigned first, unsigned n)
if (n == 0)
return map;
+ if (first + n > isl_map_dim(map, type) || first + n < first)
+ isl_die(map->ctx, isl_error_invalid,
+ "index out of bounds", goto error);
+
map = isl_map_cow(map);
if (!map)
return NULL;
- isl_assert(map->ctx, first + n <= isl_map_dim(map, type), goto error);
- first += pos(map->dim, type) - 1;
-
+
for (i = 0; i < map->n; ++i) {
- map->p[i] = isl_basic_map_eliminate_vars(map->p[i], first, n);
+ map->p[i] = isl_basic_map_eliminate(map->p[i], type, first, n);
if (!map->p[i])
goto error;
}
}
/* Eliminate the specified n dimensions starting at first from the
- * constraints using Fourier-Motzkin. The dimensions themselves
- * are not removed.
+ * constraints, without removing the dimensions from the space.
+ * If the set is rational, the dimensions are eliminated using Fourier-Motzkin.
*/
__isl_give isl_set *isl_set_eliminate(__isl_take isl_set *set,
enum isl_dim_type type, unsigned first, unsigned n)
}
/* Eliminate the specified n dimensions starting at first from the
- * constraints using Fourier-Motzkin. The dimensions themselves
- * are not removed.
+ * constraints, without removing the dimensions from the space.
+ * If the set is rational, the dimensions are eliminated using Fourier-Motzkin.
*/
__isl_give isl_set *isl_set_eliminate_dims(__isl_take isl_set *set,
unsigned first, unsigned n)
__isl_give isl_basic_map *isl_basic_map_remove_divs(
__isl_take isl_basic_map *bmap)
{
- bmap = isl_basic_map_eliminate_vars(bmap, isl_dim_total(bmap->dim),
- bmap->n_div);
+ if (!bmap)
+ return NULL;
+ bmap = isl_basic_map_eliminate_vars(bmap,
+ isl_space_dim(bmap->dim, isl_dim_all), bmap->n_div);
if (!bmap)
return NULL;
bmap->n_div = 0;
return NULL;
isl_assert(bmap->ctx, first + n <= isl_basic_map_dim(bmap, type),
goto error);
- if (n == 0)
+ if (n == 0 && !isl_space_is_named_or_nested(bmap->dim, type))
return bmap;
bmap = isl_basic_map_eliminate_vars(bmap,
isl_basic_map_offset(bmap, type) - 1 + first, n);
return 0;
}
+/* Try and add a lower and/or upper bound on "div" to "bmap"
+ * based on inequality "i".
+ * "total" is the total number of variables (excluding the divs).
+ * "v" is a temporary object that can be used during the calculations.
+ * If "lb" is set, then a lower bound should be constructed.
+ * If "ub" is set, then an upper bound should be constructed.
+ *
+ * The calling function has already checked that the inequality does not
+ * reference "div", but we still need to check that the inequality is
+ * of the right form. We'll consider the case where we want to construct
+ * a lower bound. The construction of upper bounds is similar.
+ *
+ * Let "div" be of the form
+ *
+ * q = floor((a + f(x))/d)
+ *
+ * We essentially check if constraint "i" is of the form
+ *
+ * b + f(x) >= 0
+ *
+ * so that we can use it to derive a lower bound on "div".
+ * However, we allow a slightly more general form
+ *
+ * b + g(x) >= 0
+ *
+ * with the condition that the coefficients of g(x) - f(x) are all
+ * divisible by d.
+ * Rewriting this constraint as
+ *
+ * 0 >= -b - g(x)
+ *
+ * adding a + f(x) to both sides and dividing by d, we obtain
+ *
+ * (a + f(x))/d >= (a-b)/d + (f(x)-g(x))/d
+ *
+ * Taking the floor on both sides, we obtain
+ *
+ * q >= floor((a-b)/d) + (f(x)-g(x))/d
+ *
+ * or
+ *
+ * (g(x)-f(x))/d + ceil((b-a)/d) + q >= 0
+ *
+ * In the case of an upper bound, we construct the constraint
+ *
+ * (g(x)+f(x))/d + floor((b+a)/d) - q >= 0
+ *
+ */
+static __isl_give isl_basic_map *insert_bounds_on_div_from_ineq(
+ __isl_take isl_basic_map *bmap, int div, int i,
+ unsigned total, isl_int v, int lb, int ub)
+{
+ int j;
+
+ for (j = 0; (lb || ub) && j < total + bmap->n_div; ++j) {
+ if (lb) {
+ isl_int_sub(v, bmap->ineq[i][1 + j],
+ bmap->div[div][1 + 1 + j]);
+ lb = isl_int_is_divisible_by(v, bmap->div[div][0]);
+ }
+ if (ub) {
+ isl_int_add(v, bmap->ineq[i][1 + j],
+ bmap->div[div][1 + 1 + j]);
+ ub = isl_int_is_divisible_by(v, bmap->div[div][0]);
+ }
+ }
+ if (!lb && !ub)
+ return bmap;
+
+ bmap = isl_basic_map_extend_constraints(bmap, 0, lb + ub);
+ if (lb) {
+ int k = isl_basic_map_alloc_inequality(bmap);
+ if (k < 0)
+ goto error;
+ for (j = 0; j < 1 + total + bmap->n_div; ++j) {
+ isl_int_sub(bmap->ineq[k][j], bmap->ineq[i][j],
+ bmap->div[div][1 + j]);
+ isl_int_cdiv_q(bmap->ineq[k][j],
+ bmap->ineq[k][j], bmap->div[div][0]);
+ }
+ isl_int_set_si(bmap->ineq[k][1 + total + div], 1);
+ }
+ if (ub) {
+ int k = isl_basic_map_alloc_inequality(bmap);
+ if (k < 0)
+ goto error;
+ for (j = 0; j < 1 + total + bmap->n_div; ++j) {
+ isl_int_add(bmap->ineq[k][j], bmap->ineq[i][j],
+ bmap->div[div][1 + j]);
+ isl_int_fdiv_q(bmap->ineq[k][j],
+ bmap->ineq[k][j], bmap->div[div][0]);
+ }
+ isl_int_set_si(bmap->ineq[k][1 + total + div], -1);
+ }
+
+ return bmap;
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+/* This function is called right before "div" is eliminated from "bmap"
+ * using Fourier-Motzkin.
+ * Look through the constraints of "bmap" for constraints on the argument
+ * of the integer division and use them to construct constraints on the
+ * integer division itself. These constraints can then be combined
+ * during the Fourier-Motzkin elimination.
+ * Note that it is only useful to introduce lower bounds on "div"
+ * if "bmap" already contains upper bounds on "div" as the newly
+ * introduce lower bounds can then be combined with the pre-existing
+ * upper bounds. Similarly for upper bounds.
+ * We therefore first check if "bmap" contains any lower and/or upper bounds
+ * on "div".
+ *
+ * It is interesting to note that the introduction of these constraints
+ * can indeed lead to more accurate results, even when compared to
+ * deriving constraints on the argument of "div" from constraints on "div".
+ * Consider, for example, the set
+ *
+ * { [i,j,k] : 3 + i + 2j >= 0 and 2 * [(i+2j)/4] <= k }
+ *
+ * The second constraint can be rewritten as
+ *
+ * 2 * [(-i-2j+3)/4] + k >= 0
+ *
+ * from which we can derive
+ *
+ * -i - 2j + 3 >= -2k
+ *
+ * or
+ *
+ * i + 2j <= 3 + 2k
+ *
+ * Combined with the first constraint, we obtain
+ *
+ * -3 <= 3 + 2k or k >= -3
+ *
+ * If, on the other hand we derive a constraint on [(i+2j)/4] from
+ * the first constraint, we obtain
+ *
+ * [(i + 2j)/4] >= [-3/4] = -1
+ *
+ * Combining this constraint with the second constraint, we obtain
+ *
+ * k >= -2
+ */
+static __isl_give isl_basic_map *insert_bounds_on_div(
+ __isl_take isl_basic_map *bmap, int div)
+{
+ int i;
+ int check_lb, check_ub;
+ isl_int v;
+ unsigned total;
+
+ if (!bmap)
+ return NULL;
+
+ if (isl_int_is_zero(bmap->div[div][0]))
+ return bmap;
+
+ total = isl_space_dim(bmap->dim, isl_dim_all);
+
+ check_lb = 0;
+ check_ub = 0;
+ for (i = 0; (!check_lb || !check_ub) && i < bmap->n_ineq; ++i) {
+ int s = isl_int_sgn(bmap->ineq[i][1 + total + div]);
+ if (s > 0)
+ check_ub = 1;
+ if (s < 0)
+ check_lb = 1;
+ }
+
+ if (!check_lb && !check_ub)
+ return bmap;
+
+ isl_int_init(v);
+
+ for (i = 0; bmap && i < bmap->n_ineq; ++i) {
+ if (!isl_int_is_zero(bmap->ineq[i][1 + total + div]))
+ continue;
+
+ bmap = insert_bounds_on_div_from_ineq(bmap, div, i, total, v,
+ check_lb, check_ub);
+ }
+
+ isl_int_clear(v);
+
+ return bmap;
+}
+
/* Remove all divs (recursively) involving any of the given dimensions
* in their definitions.
*/
for (i = bmap->n_div - 1; i >= 0; --i) {
if (!div_involves_vars(bmap, i, first, n))
continue;
+ bmap = insert_bounds_on_div(bmap, i);
bmap = isl_basic_map_remove_dims(bmap, isl_dim_div, i, 1);
if (!bmap)
return NULL;
return NULL;
}
-__isl_give isl_map *isl_map_remove_divs_involving_dims(__isl_take isl_map *map,
+__isl_give isl_basic_set *isl_basic_set_remove_divs_involving_dims(
+ __isl_take isl_basic_set *bset,
enum isl_dim_type type, unsigned first, unsigned n)
{
- int i;
+ return isl_basic_map_remove_divs_involving_dims(bset, type, first, n);
+}
+
+__isl_give isl_map *isl_map_remove_divs_involving_dims(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ int i;
if (!map)
return NULL;
type, first, n);
}
+/* Does the desciption of "bmap" depend on the specified dimensions?
+ * We also check whether the dimensions appear in any of the div definitions.
+ * In principle there is no need for this check. If the dimensions appear
+ * in a div definition, they also appear in the defining constraints of that
+ * div.
+ */
int isl_basic_map_involves_dims(__isl_keep isl_basic_map *bmap,
enum isl_dim_type type, unsigned first, unsigned n)
{
for (i = 0; i < bmap->n_ineq; ++i)
if (isl_seq_first_non_zero(bmap->ineq[i] + first, n) >= 0)
return 1;
+ for (i = 0; i < bmap->n_div; ++i) {
+ if (isl_int_is_zero(bmap->div[i][0]))
+ continue;
+ if (isl_seq_first_non_zero(bmap->div[i] + 1 + first, n) >= 0)
+ return 1;
+ }
return 0;
}
for (i = 0; i < map->n; ++i) {
int involves = isl_basic_map_involves_dims(map->p[i],
type, first, n);
- if (involves < 0 || !involves)
+ if (involves < 0 || involves)
return involves;
}
- return 1;
+ return 0;
}
int isl_basic_set_involves_dims(__isl_keep isl_basic_set *bset,
if (!div_is_unknown(bmap, i))
continue;
bmap = isl_basic_map_remove_dims(bmap, isl_dim_div, i, 1);
+ if (!bmap)
+ return NULL;
+ i = bmap->n_div;
}
return bmap;
}
+/* Remove all divs that are unknown or defined in terms of unknown divs.
+ */
+__isl_give isl_basic_set *isl_basic_set_remove_unknown_divs(
+ __isl_take isl_basic_set *bset)
+{
+ return isl_basic_map_remove_unknown_divs(bset);
+}
+
__isl_give isl_map *isl_map_remove_unknown_divs(__isl_take isl_map *map)
{
int i;
if (!isl_int_is_one(c))
isl_int_print(out, c, 0);
if (pos < 1 + nparam) {
- name = isl_dim_get_name(bmap->dim,
+ name = isl_space_get_dim_name(bmap->dim,
isl_dim_param, pos - 1);
if (name)
fprintf(out, "%s", name);
fprintf(out, "\n");
for (i = bmap->n_div; i < bmap->extra; ++i) {
- if (isl_int_is_zero(c[1+isl_dim_total(bmap->dim)+i]))
+ if (isl_int_is_zero(c[1+isl_space_dim(bmap->dim, isl_dim_all)+i]))
continue;
fprintf(out, "%*s", indent, "");
fprintf(out, "ERROR: unused div coefficient not zero\n");
return 0;
}
-struct isl_set *isl_set_alloc_dim(struct isl_dim *dim, int n, unsigned flags)
+__isl_give isl_set *isl_set_alloc_space(__isl_take isl_space *dim, int n,
+ unsigned flags)
{
struct isl_set *set;
set->flags = flags;
return set;
error:
- isl_dim_free(dim);
+ isl_space_free(dim);
return NULL;
}
unsigned nparam, unsigned dim, int n, unsigned flags)
{
struct isl_set *set;
- struct isl_dim *dims;
+ isl_space *dims;
- dims = isl_dim_alloc(ctx, nparam, 0, dim);
+ dims = isl_space_alloc(ctx, nparam, 0, dim);
if (!dims)
return NULL;
- set = isl_set_alloc_dim(dims, n, flags);
+ set = isl_set_alloc_space(dims, n, flags);
return set;
}
isl_assert(map->ctx, n >= 0, goto error);
if (map->n + n <= map->size)
return map;
- grown = isl_map_alloc_dim(isl_map_get_dim(map), map->n + n, map->flags);
+ grown = isl_map_alloc_space(isl_map_get_space(map), map->n + n, map->flags);
if (!grown)
goto error;
for (i = 0; i < map->n; ++i) {
if (!set)
return NULL;
- dup = isl_set_alloc_dim(isl_dim_copy(set->dim), set->n, set->flags);
+ dup = isl_set_alloc_space(isl_space_copy(set->dim), set->n, set->flags);
if (!dup)
return NULL;
for (i = 0; i < set->n; ++i)
if (!bmap)
return NULL;
- map = isl_map_alloc_dim(isl_dim_copy(bmap->dim), 1, ISL_MAP_DISJOINT);
+ map = isl_map_alloc_space(isl_space_copy(bmap->dim), 1, ISL_MAP_DISJOINT);
return isl_map_add_basic_map(map, bmap);
}
(struct isl_basic_map *)bset);
}
-void isl_set_free(struct isl_set *set)
+void *isl_set_free(__isl_take isl_set *set)
{
int i;
if (!set)
- return;
+ return NULL;
if (--set->ref > 0)
- return;
+ return NULL;
isl_ctx_deref(set->ctx);
for (i = 0; i < set->n; ++i)
isl_basic_set_free(set->p[i]);
- isl_dim_free(set->dim);
+ isl_space_free(set->dim);
free(set);
+
+ return NULL;
}
void isl_set_print_internal(struct isl_set *set, FILE *out, int indent)
if (!bmap || !bset)
goto error;
- isl_assert(bset->ctx, isl_dim_match(bmap->dim, isl_dim_param,
+ isl_assert(bset->ctx, isl_space_match(bmap->dim, isl_dim_param,
bset->dim, isl_dim_param), goto error);
- if (isl_dim_size(bset->dim, isl_dim_set) != 0)
+ if (isl_space_dim(bset->dim, isl_dim_set) != 0)
isl_assert(bset->ctx,
isl_basic_map_compatible_domain(bmap, bset), goto error);
bmap = isl_basic_map_cow(bmap);
if (!bmap)
goto error;
- bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
+ bmap = isl_basic_map_extend_space(bmap, isl_space_copy(bmap->dim),
bset->n_div, bset->n_eq, bset->n_ineq);
bmap_domain = isl_basic_map_from_domain(bset);
bmap = add_constraints(bmap, bmap_domain, 0, 0);
if (!bmap || !bset)
goto error;
- isl_assert(bset->ctx, isl_dim_match(bmap->dim, isl_dim_param,
+ isl_assert(bset->ctx, isl_space_match(bmap->dim, isl_dim_param,
bset->dim, isl_dim_param), goto error);
- if (isl_dim_size(bset->dim, isl_dim_set) != 0)
+ if (isl_space_dim(bset->dim, isl_dim_set) != 0)
isl_assert(bset->ctx,
isl_basic_map_compatible_range(bmap, bset), goto error);
bmap = isl_basic_map_cow(bmap);
if (!bmap)
goto error;
- bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
+ bmap = isl_basic_map_extend_space(bmap, isl_space_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_range = isl_basic_map_from_basic_set(bset, isl_space_copy(bset->dim));
bmap = add_constraints(bmap, bmap_range, 0, 0);
bmap = isl_basic_map_simplify(bmap);
if (!bmap1 || !bmap2)
goto error;
- isl_assert(bmap1->ctx, isl_dim_match(bmap1->dim, isl_dim_param,
+ isl_assert(bmap1->ctx, isl_space_match(bmap1->dim, isl_dim_param,
bmap2->dim, isl_dim_param), goto error);
- if (isl_dim_total(bmap1->dim) ==
- isl_dim_size(bmap1->dim, isl_dim_param) &&
- isl_dim_total(bmap2->dim) !=
- isl_dim_size(bmap2->dim, isl_dim_param))
+ if (isl_space_dim(bmap1->dim, isl_dim_all) ==
+ isl_space_dim(bmap1->dim, isl_dim_param) &&
+ isl_space_dim(bmap2->dim, isl_dim_all) !=
+ isl_space_dim(bmap2->dim, isl_dim_param))
return isl_basic_map_intersect(bmap2, bmap1);
- if (isl_dim_total(bmap2->dim) !=
- isl_dim_size(bmap2->dim, isl_dim_param))
+ if (isl_space_dim(bmap2->dim, isl_dim_all) !=
+ isl_space_dim(bmap2->dim, isl_dim_param))
isl_assert(bmap1->ctx,
- isl_dim_equal(bmap1->dim, bmap2->dim), goto error);
+ isl_space_is_equal(bmap1->dim, bmap2->dim), goto error);
if (bmap1->sample &&
isl_basic_map_contains(bmap1, bmap1->sample) > 0 &&
bmap1 = isl_basic_map_cow(bmap1);
if (!bmap1)
goto error;
- bmap1 = isl_basic_map_extend_dim(bmap1, isl_dim_copy(bmap1->dim),
+ bmap1 = isl_basic_map_extend_space(bmap1, isl_space_copy(bmap1->dim),
bmap2->n_div, bmap2->n_eq, bmap2->n_ineq);
bmap1 = add_constraints(bmap1, bmap2, 0, 0);
(struct isl_basic_map *)bset2);
}
+__isl_give isl_basic_set *isl_basic_set_intersect_params(
+ __isl_take isl_basic_set *bset1, __isl_take isl_basic_set *bset2)
+{
+ return isl_basic_set_intersect(bset1, 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
return NULL;
}
-static __isl_give isl_map *map_intersect(__isl_take isl_map *map1,
+/* map2 may be either a parameter domain or a map living in the same
+ * space as map1.
+ */
+static __isl_give isl_map *map_intersect_internal(__isl_take isl_map *map1,
__isl_take isl_map *map2)
{
unsigned flags = 0;
- struct isl_map *result;
+ isl_map *result;
int i, j;
if (!map1 || !map2)
goto error;
- if (isl_map_plain_is_empty(map1) &&
- isl_dim_equal(map1->dim, map2->dim)) {
+ if ((isl_map_plain_is_empty(map1) ||
+ isl_map_plain_is_universe(map2)) &&
+ isl_space_is_equal(map1->dim, map2->dim)) {
isl_map_free(map2);
return map1;
}
- if (isl_map_plain_is_empty(map2) &&
- isl_dim_equal(map1->dim, map2->dim)) {
+ if ((isl_map_plain_is_empty(map2) ||
+ isl_map_plain_is_universe(map1)) &&
+ isl_space_is_equal(map1->dim, map2->dim)) {
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) &&
+ isl_space_is_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);
- if (isl_dim_total(map1->dim) ==
- isl_dim_size(map1->dim, isl_dim_param) &&
- isl_dim_total(map2->dim) != isl_dim_size(map2->dim, isl_dim_param))
- return isl_map_intersect(map2, map1);
- if (isl_dim_total(map2->dim) != isl_dim_size(map2->dim, isl_dim_param))
+ if (isl_space_dim(map2->dim, isl_dim_all) !=
+ isl_space_dim(map2->dim, isl_dim_param))
isl_assert(map1->ctx,
- isl_dim_equal(map1->dim, map2->dim), goto error);
+ isl_space_is_equal(map1->dim, map2->dim), goto error);
if (ISL_F_ISSET(map1, ISL_MAP_DISJOINT) &&
ISL_F_ISSET(map2, ISL_MAP_DISJOINT))
ISL_FL_SET(flags, ISL_MAP_DISJOINT);
- result = isl_map_alloc_dim(isl_dim_copy(map1->dim),
+ result = isl_map_alloc_space(isl_space_copy(map1->dim),
map1->n * map2->n, flags);
if (!result)
goto error;
part = isl_basic_map_intersect(
isl_basic_map_copy(map1->p[i]),
isl_basic_map_copy(map2->p[j]));
- if (isl_basic_map_is_empty(part))
- isl_basic_map_free(part);
- else
- result = isl_map_add_basic_map(result, part);
+ if (isl_basic_map_is_empty(part) < 0)
+ part = isl_basic_map_free(part);
+ result = isl_map_add_basic_map(result, part);
if (!result)
goto error;
}
return NULL;
}
+static __isl_give isl_map *map_intersect(__isl_take isl_map *map1,
+ __isl_take isl_map *map2)
+{
+ if (!map1 || !map2)
+ goto error;
+ if (!isl_space_is_equal(map1->dim, map2->dim))
+ isl_die(isl_map_get_ctx(map1), isl_error_invalid,
+ "spaces don't match", goto error);
+ return map_intersect_internal(map1, map2);
+error:
+ isl_map_free(map1);
+ isl_map_free(map2);
+ return NULL;
+}
+
__isl_give isl_map *isl_map_intersect(__isl_take isl_map *map1,
__isl_take isl_map *map2)
{
(struct isl_map *)set2);
}
-/* The current implementation of isl_map_intersect accepts intersections
- * with parameter domains, so we can just call that for now.
+/* map_intersect_internal accepts intersections
+ * with parameter domains, so we can just call that function.
*/
static __isl_give isl_map *map_intersect_params(__isl_take isl_map *map,
__isl_take isl_set *params)
{
- return isl_map_intersect(map, params);
+ return map_intersect_internal(map, params);
}
__isl_give isl_map *isl_map_intersect_params(__isl_take isl_map *map1,
struct isl_basic_map *isl_basic_map_reverse(struct isl_basic_map *bmap)
{
- struct isl_dim *dim;
+ isl_space *dim;
struct isl_basic_set *bset;
unsigned in;
bmap = isl_basic_map_cow(bmap);
if (!bmap)
return NULL;
- dim = isl_dim_reverse(isl_dim_copy(bmap->dim));
+ dim = isl_space_reverse(isl_space_copy(bmap->dim));
in = isl_basic_map_n_in(bmap);
bset = isl_basic_set_from_basic_map(bmap);
bset = isl_basic_set_swap_vars(bset, in);
return isl_basic_map_from_basic_set(bset, dim);
}
-__isl_give isl_basic_map *isl_basic_map_insert(__isl_take isl_basic_map *bmap,
- enum isl_dim_type type, unsigned pos, unsigned n)
+static __isl_give isl_basic_map *basic_map_space_reset(
+ __isl_take isl_basic_map *bmap, enum isl_dim_type type)
+{
+ isl_space *space;
+
+ if (!bmap)
+ return NULL;
+ if (!isl_space_is_named_or_nested(bmap->dim, type))
+ return bmap;
+
+ space = isl_basic_map_get_space(bmap);
+ space = isl_space_reset(space, type);
+ bmap = isl_basic_map_reset_space(bmap, space);
+ return bmap;
+}
+
+__isl_give isl_basic_map *isl_basic_map_insert_dims(
+ __isl_take isl_basic_map *bmap, enum isl_dim_type type,
+ unsigned pos, unsigned n)
{
- struct isl_dim *res_dim;
+ isl_space *res_dim;
struct isl_basic_map *res;
struct isl_dim_map *dim_map;
unsigned total, off;
enum isl_dim_type t;
if (n == 0)
- return bmap;
+ return basic_map_space_reset(bmap, type);
if (!bmap)
return NULL;
- res_dim = isl_dim_insert(isl_basic_map_get_dim(bmap), type, pos, n);
+ res_dim = isl_space_insert_dims(isl_basic_map_get_space(bmap), type, pos, n);
total = isl_basic_map_total_dim(bmap) + n;
dim_map = isl_dim_map_alloc(bmap->ctx, total);
isl_dim_map_dim_range(dim_map, bmap->dim, t,
pos, size - pos, off + pos + n);
}
- off += isl_dim_size(res_dim, t);
+ off += isl_space_dim(res_dim, t);
}
isl_dim_map_div(dim_map, bmap, off);
- res = isl_basic_map_alloc_dim(res_dim,
+ res = isl_basic_map_alloc_space(res_dim,
bmap->n_div, bmap->n_eq, bmap->n_ineq);
if (isl_basic_map_is_rational(bmap))
res = isl_basic_map_set_rational(res);
+ if (isl_basic_map_plain_is_empty(bmap)) {
+ isl_basic_map_free(bmap);
+ free(dim_map);
+ return isl_basic_map_set_to_empty(res);
+ }
res = isl_basic_map_add_constraints_dim_map(res, bmap, dim_map);
return isl_basic_map_finalize(res);
}
+__isl_give isl_basic_set *isl_basic_set_insert_dims(
+ __isl_take isl_basic_set *bset,
+ enum isl_dim_type type, unsigned pos, unsigned n)
+{
+ return isl_basic_map_insert_dims(bset, type, pos, n);
+}
+
__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,
+ return isl_basic_map_insert_dims(bmap, type,
isl_basic_map_dim(bmap, type), n);
}
-__isl_give isl_basic_set *isl_basic_set_add(__isl_take isl_basic_set *bset,
+__isl_give isl_basic_set *isl_basic_set_add_dims(__isl_take isl_basic_set *bset,
enum isl_dim_type type, unsigned n)
{
if (!bset)
return NULL;
}
-__isl_give isl_map *isl_map_insert(__isl_take isl_map *map,
+static __isl_give isl_map *map_space_reset(__isl_take isl_map *map,
+ enum isl_dim_type type)
+{
+ isl_space *space;
+
+ if (!map || !isl_space_is_named_or_nested(map->dim, type))
+ return map;
+
+ space = isl_map_get_space(map);
+ space = isl_space_reset(space, type);
+ map = isl_map_reset_space(map, space);
+ return map;
+}
+
+__isl_give isl_map *isl_map_insert_dims(__isl_take isl_map *map,
enum isl_dim_type type, unsigned pos, unsigned n)
{
int i;
if (n == 0)
- return map;
+ return map_space_reset(map, type);
map = isl_map_cow(map);
if (!map)
return NULL;
- map->dim = isl_dim_insert(map->dim, type, pos, n);
+ map->dim = isl_space_insert_dims(map->dim, type, pos, n);
if (!map->dim)
goto error;
for (i = 0; i < map->n; ++i) {
- map->p[i] = isl_basic_map_insert(map->p[i], type, pos, n);
+ map->p[i] = isl_basic_map_insert_dims(map->p[i], type, pos, n);
if (!map->p[i])
goto error;
}
return NULL;
}
-__isl_give isl_set *isl_set_insert(__isl_take isl_set *set,
+__isl_give isl_set *isl_set_insert_dims(__isl_take isl_set *set,
enum isl_dim_type type, unsigned pos, unsigned n)
{
- return (isl_set *)isl_map_insert((isl_map *)set, type, pos, n);
+ return isl_map_insert_dims(set, type, pos, n);
}
__isl_give isl_map *isl_map_add_dims(__isl_take isl_map *map,
{
if (!map)
return NULL;
- return isl_map_insert(map, type, isl_map_dim(map, type), n);
+ return isl_map_insert_dims(map, type, isl_map_dim(map, type), n);
}
__isl_give isl_set *isl_set_add_dims(__isl_take isl_set *set,
if (!bmap)
return NULL;
- bmap->dim = isl_dim_move(bmap->dim, dst_type, dst_pos,
+ bmap->dim = isl_space_move_dims(bmap->dim, dst_type, dst_pos,
src_type, src_pos, n);
if (!bmap->dim)
goto error;
off = 0;
for (t = isl_dim_param; t <= isl_dim_out; ++t) {
- unsigned size = isl_dim_size(bmap->dim, t);
+ unsigned size = isl_space_dim(bmap->dim, t);
if (t == dst_type) {
isl_dim_map_dim_range(dim_map, bmap->dim, t,
0, dst_pos, off);
}
isl_dim_map_div(dim_map, bmap, off);
- res = isl_basic_map_alloc_dim(isl_basic_map_get_dim(bmap),
+ res = isl_basic_map_alloc_space(isl_basic_map_get_space(bmap),
bmap->n_div, bmap->n_eq, bmap->n_ineq);
bmap = isl_basic_map_add_constraints_dim_map(res, bmap, dim_map);
+ if (!bmap)
+ goto error;
- bmap->dim = isl_dim_move(bmap->dim, dst_type, dst_pos,
+ bmap->dim = isl_space_move_dims(bmap->dim, dst_type, dst_pos,
src_type, src_pos, n);
if (!bmap->dim)
goto error;
if (!map)
return NULL;
- map->dim = isl_dim_move(map->dim, dst_type, dst_pos, src_type, src_pos, n);
+ map->dim = isl_space_move_dims(map->dim, dst_type, dst_pos, src_type, src_pos, n);
if (!map->dim)
goto error;
if (!bmap)
return NULL;
- if (pos(bmap->dim, type) + first + n == 1 + isl_dim_total(bmap->dim))
+ if (pos(bmap->dim, type) + first + n ==
+ 1 + isl_space_dim(bmap->dim, isl_dim_all))
return bmap;
total = isl_basic_map_total_dim(bmap);
off = 0;
for (t = isl_dim_param; t <= isl_dim_out; ++t) {
- unsigned size = isl_dim_size(bmap->dim, t);
+ unsigned size = isl_space_dim(bmap->dim, t);
if (t == type) {
isl_dim_map_dim_range(dim_map, bmap->dim, t,
0, first, off);
}
isl_dim_map_div(dim_map, bmap, off + n);
- res = isl_basic_map_alloc_dim(isl_basic_map_get_dim(bmap),
+ res = isl_basic_map_alloc_space(isl_basic_map_get_space(bmap),
bmap->n_div, bmap->n_eq, bmap->n_ineq);
res = isl_basic_map_add_constraints_dim_map(res, bmap, dim_map);
return res;
}
-/* Turn the n dimensions of type type, starting at first
- * into existentially quantified variables.
+/* Insert "n" rows in the divs of "bmap".
+ *
+ * The number of columns is not changed, which means that the last
+ * dimensions of "bmap" are being reintepreted as the new divs.
+ * The space of "bmap" is not adjusted, however, which means
+ * that "bmap" is left in an inconsistent state. Removing "n" dimensions
+ * from the space of "bmap" is the responsibility of the caller.
*/
-__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)
+static __isl_give isl_basic_map *insert_div_rows(__isl_take isl_basic_map *bmap,
+ int 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_dims(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;
+ row_size = 1 + isl_space_dim(bmap->dim, isl_dim_all) + 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;
+ return isl_basic_map_free(bmap);
new_div = isl_alloc_array(bmap->ctx, isl_int *, bmap->extra + n);
if (!new_div)
- goto error;
+ return isl_basic_map_free(bmap);
for (i = 0; i < n; ++i) {
new_div[i] = bmap->block2.data +
(bmap->extra + i) * (1 + row_size);
bmap->n_div += n;
bmap->extra += n;
- bmap->dim = isl_dim_drop(bmap->dim, type, first, n);
+ return bmap;
+}
+
+/* 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)
+{
+ if (n == 0)
+ return basic_map_space_reset(bmap, type);
+
+ if (!bmap)
+ return NULL;
+
+ if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL))
+ return isl_basic_map_remove_dims(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);
+ bmap = insert_div_rows(bmap, n);
+ if (!bmap)
+ return NULL;
+
+ bmap->dim = isl_space_drop_dims(bmap->dim, type, first, n);
if (!bmap->dim)
goto error;
bmap = isl_basic_map_simplify(bmap);
return NULL;
if (n == 0)
- return map;
+ return map_space_reset(map, type);
isl_assert(map->ctx, first + n <= isl_map_dim(map, type), goto error);
if (!map)
return NULL;
- map->dim = isl_dim_drop(map->dim, type, first, n);
+ map->dim = isl_space_drop_dims(map->dim, type, first, n);
if (!map->dim)
goto error;
struct isl_basic_map *isl_basic_map_apply_range(
struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
{
- struct isl_dim *dim_result = NULL;
+ isl_space *dim_result = NULL;
struct isl_basic_map *bmap;
unsigned n_in, n_out, n, nparam, total, pos;
struct isl_dim_map *dim_map1, *dim_map2;
if (!bmap1 || !bmap2)
goto error;
- dim_result = isl_dim_join(isl_dim_copy(bmap1->dim),
- isl_dim_copy(bmap2->dim));
+ dim_result = isl_space_join(isl_space_copy(bmap1->dim),
+ isl_space_copy(bmap2->dim));
n_in = isl_basic_map_n_in(bmap1);
n_out = isl_basic_map_n_out(bmap2);
isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_out, pos += bmap2->n_div);
isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_in, pos);
- bmap = isl_basic_map_alloc_dim(dim_result,
+ bmap = isl_basic_map_alloc_space(dim_result,
bmap1->n_div + bmap2->n_div + n,
bmap1->n_eq + bmap2->n_eq,
bmap1->n_ineq + bmap2->n_ineq);
if (!bmap1 || !bmap2)
goto error;
- isl_assert(bmap1->ctx, isl_dim_equal(bmap1->dim, bmap2->dim),
+ isl_assert(bmap1->ctx, isl_space_is_equal(bmap1->dim, bmap2->dim),
goto error);
nparam = isl_basic_map_n_param(bmap1);
isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_out, pos += bmap2->n_div);
isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_out, pos += n_out);
- bmap = isl_basic_map_alloc_dim(isl_dim_copy(bmap1->dim),
+ bmap = isl_basic_map_alloc_space(isl_space_copy(bmap1->dim),
bmap1->n_div + bmap2->n_div + 2 * n_out,
bmap1->n_eq + bmap2->n_eq + n_out,
bmap1->n_ineq + bmap2->n_ineq);
if (!map1 || !map2)
goto error;
- isl_assert(map1->ctx, isl_dim_equal(map1->dim, map2->dim), goto error);
+ isl_assert(map1->ctx, isl_space_is_equal(map1->dim, map2->dim), goto error);
- result = isl_map_alloc_dim(isl_dim_copy(map1->dim),
+ result = isl_map_alloc_space(isl_space_copy(map1->dim),
map1->n * map2->n, 0);
if (!result)
goto error;
for (i = 0; i < bmap->n_div; ++i)
for (j = 0; j < n; ++j)
isl_int_neg(bmap->div[i][1+off+j], bmap->div[i][1+off+j]);
+ bmap = isl_basic_map_gauss(bmap, NULL);
return isl_basic_map_finalize(bmap);
}
isl_dim_map_div(dim_map, bmap, pos += n_in + n_out);
isl_dim_map_dim(dim_map, bmap->dim, isl_dim_out, pos += bmap->n_div);
- result = isl_basic_map_alloc_dim(isl_dim_copy(bmap->dim),
+ result = isl_basic_map_alloc_space(isl_space_copy(bmap->dim),
bmap->n_div + n_out,
bmap->n_eq, bmap->n_ineq + 2 * n_out);
result = isl_basic_map_add_constraints_dim_map(result, bmap, dim_map);
return NULL;
}
-struct isl_basic_map *isl_basic_map_equal(struct isl_dim *dim, unsigned n_equal)
+__isl_give isl_basic_map *isl_basic_map_equal(
+ __isl_take isl_space *dim, unsigned n_equal)
{
int i;
struct isl_basic_map *bmap;
- bmap = isl_basic_map_alloc_dim(dim, 0, n_equal, 0);
+ bmap = isl_basic_map_alloc_space(dim, 0, n_equal, 0);
if (!bmap)
return NULL;
for (i = 0; i < n_equal && bmap; ++i)
/* 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)
+__isl_give isl_basic_map *isl_basic_map_less_at(__isl_take isl_space *dim,
+ unsigned pos)
{
int i;
struct isl_basic_map *bmap;
- bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
+ bmap = isl_basic_map_alloc_space(dim, 0, pos, 1);
if (!bmap)
return NULL;
for (i = 0; i < pos && bmap; ++i)
/* 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)
+ __isl_take isl_space *dim, unsigned pos)
{
int i;
isl_basic_map *bmap;
- bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
+ bmap = isl_basic_map_alloc_space(dim, 0, pos, 1);
for (i = 0; i < pos; ++i)
bmap = var_equal(bmap, i);
bmap = var_less_or_equal(bmap, pos);
/* 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)
+__isl_give isl_basic_map *isl_basic_map_more_at(__isl_take isl_space *dim,
+ unsigned pos)
{
int i;
struct isl_basic_map *bmap;
- bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
+ bmap = isl_basic_map_alloc_space(dim, 0, pos, 1);
if (!bmap)
return NULL;
for (i = 0; i < pos && bmap; ++i)
/* 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)
+ __isl_take isl_space *dim, unsigned pos)
{
int i;
isl_basic_map *bmap;
- bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
+ bmap = isl_basic_map_alloc_space(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,
+static __isl_give isl_map *map_lex_lte_first(__isl_take isl_space *dims,
unsigned n, int equal)
{
struct isl_map *map;
if (n == 0 && equal)
return isl_map_universe(dims);
- map = isl_map_alloc_dim(isl_dim_copy(dims), n, ISL_MAP_DISJOINT);
+ map = isl_map_alloc_space(isl_space_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));
+ isl_basic_map_less_at(isl_space_copy(dims), i));
if (n > 0) {
if (equal)
map = isl_map_add_basic_map(map,
map = isl_map_add_basic_map(map,
isl_basic_map_less_at(dims, n - 1));
} else
- isl_dim_free(dims);
+ isl_space_free(dims);
return map;
}
-static __isl_give isl_map *map_lex_lte(__isl_take isl_dim *dims, int equal)
+static __isl_give isl_map *map_lex_lte(__isl_take isl_space *dims, int equal)
{
if (!dims)
return NULL;
return map_lex_lte_first(dims, dims->n_out, equal);
}
-__isl_give isl_map *isl_map_lex_lt_first(__isl_take isl_dim *dim, unsigned n)
+__isl_give isl_map *isl_map_lex_lt_first(__isl_take isl_space *dim, unsigned n)
{
return map_lex_lte_first(dim, n, 0);
}
-__isl_give isl_map *isl_map_lex_le_first(__isl_take isl_dim *dim, unsigned n)
+__isl_give isl_map *isl_map_lex_le_first(__isl_take isl_space *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)
+__isl_give isl_map *isl_map_lex_lt(__isl_take isl_space *set_dim)
{
- return map_lex_lte(isl_dim_map_from_set(set_dim), 0);
+ return map_lex_lte(isl_space_map_from_set(set_dim), 0);
}
-__isl_give isl_map *isl_map_lex_le(__isl_take isl_dim *set_dim)
+__isl_give isl_map *isl_map_lex_le(__isl_take isl_space *set_dim)
{
- return map_lex_lte(isl_dim_map_from_set(set_dim), 1);
+ return map_lex_lte(isl_space_map_from_set(set_dim), 1);
}
-static __isl_give isl_map *map_lex_gte_first(__isl_take isl_dim *dims,
+static __isl_give isl_map *map_lex_gte_first(__isl_take isl_space *dims,
unsigned n, int equal)
{
struct isl_map *map;
if (n == 0 && equal)
return isl_map_universe(dims);
- map = isl_map_alloc_dim(isl_dim_copy(dims), n, ISL_MAP_DISJOINT);
+ map = isl_map_alloc_space(isl_space_copy(dims), n, ISL_MAP_DISJOINT);
for (i = 0; i + 1 < n; ++i)
map = isl_map_add_basic_map(map,
- isl_basic_map_more_at(isl_dim_copy(dims), i));
+ isl_basic_map_more_at(isl_space_copy(dims), i));
if (n > 0) {
if (equal)
map = isl_map_add_basic_map(map,
map = isl_map_add_basic_map(map,
isl_basic_map_more_at(dims, n - 1));
} else
- isl_dim_free(dims);
+ isl_space_free(dims);
return map;
}
-static __isl_give isl_map *map_lex_gte(__isl_take isl_dim *dims, int equal)
+static __isl_give isl_map *map_lex_gte(__isl_take isl_space *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)
+__isl_give isl_map *isl_map_lex_gt_first(__isl_take isl_space *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)
+__isl_give isl_map *isl_map_lex_ge_first(__isl_take isl_space *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)
+__isl_give isl_map *isl_map_lex_gt(__isl_take isl_space *set_dim)
{
- return map_lex_gte(isl_dim_map_from_set(set_dim), 0);
+ return map_lex_gte(isl_space_map_from_set(set_dim), 0);
}
-__isl_give isl_map *isl_map_lex_ge(__isl_take isl_dim *set_dim)
+__isl_give isl_map *isl_map_lex_ge(__isl_take isl_space *set_dim)
{
- return map_lex_gte(isl_dim_map_from_set(set_dim), 1);
+ return map_lex_gte(isl_space_map_from_set(set_dim), 1);
}
__isl_give isl_map *isl_set_lex_le_set(__isl_take isl_set *set1,
__isl_take isl_set *set2)
{
isl_map *map;
- map = isl_map_lex_le(isl_set_get_dim(set1));
+ map = isl_map_lex_le(isl_set_get_space(set1));
map = isl_map_intersect_domain(map, set1);
map = isl_map_intersect_range(map, set2);
return map;
__isl_take isl_set *set2)
{
isl_map *map;
- map = isl_map_lex_lt(isl_set_get_dim(set1));
+ map = isl_map_lex_lt(isl_set_get_space(set1));
map = isl_map_intersect_domain(map, set1);
map = isl_map_intersect_range(map, set2);
return map;
__isl_take isl_set *set2)
{
isl_map *map;
- map = isl_map_lex_ge(isl_set_get_dim(set1));
+ map = isl_map_lex_ge(isl_set_get_space(set1));
map = isl_map_intersect_domain(map, set1);
map = isl_map_intersect_range(map, set2);
return map;
__isl_take isl_set *set2)
{
isl_map *map;
- map = isl_map_lex_gt(isl_set_get_dim(set1));
+ map = isl_map_lex_gt(isl_set_get_space(set1));
map = isl_map_intersect_domain(map, set1);
map = isl_map_intersect_range(map, set2);
return map;
__isl_take isl_map *map2)
{
isl_map *map;
- map = isl_map_lex_le(isl_dim_range(isl_map_get_dim(map1)));
+ map = isl_map_lex_le(isl_space_range(isl_map_get_space(map1)));
map = isl_map_apply_domain(map, isl_map_reverse(map1));
map = isl_map_apply_range(map, isl_map_reverse(map2));
return map;
__isl_take isl_map *map2)
{
isl_map *map;
- map = isl_map_lex_lt(isl_dim_range(isl_map_get_dim(map1)));
+ map = isl_map_lex_lt(isl_space_range(isl_map_get_space(map1)));
map = isl_map_apply_domain(map, isl_map_reverse(map1));
map = isl_map_apply_range(map, isl_map_reverse(map2));
return map;
__isl_take isl_map *map2)
{
isl_map *map;
- map = isl_map_lex_ge(isl_dim_range(isl_map_get_dim(map1)));
+ map = isl_map_lex_ge(isl_space_range(isl_map_get_space(map1)));
map = isl_map_apply_domain(map, isl_map_reverse(map1));
map = isl_map_apply_range(map, isl_map_reverse(map2));
return map;
__isl_take isl_map *map2)
{
isl_map *map;
- map = isl_map_lex_gt(isl_dim_range(isl_map_get_dim(map1)));
+ map = isl_map_lex_gt(isl_space_range(isl_map_get_space(map1)));
map = isl_map_apply_domain(map, isl_map_reverse(map1));
map = isl_map_apply_range(map, isl_map_reverse(map2));
return map;
}
-struct isl_basic_map *isl_basic_map_from_basic_set(
- struct isl_basic_set *bset, struct isl_dim *dim)
+__isl_give isl_basic_map *isl_basic_map_from_basic_set(
+ __isl_take isl_basic_set *bset, __isl_take isl_space *dim)
{
struct isl_basic_map *bmap;
if (!bset || !dim)
goto error;
- isl_assert(bset->ctx, isl_dim_compatible(bset->dim, dim), goto error);
- isl_dim_free(bset->dim);
+ isl_assert(bset->ctx, isl_space_compatible(bset->dim, dim), goto error);
+ isl_space_free(bset->dim);
bmap = (struct isl_basic_map *) bset;
bmap->dim = dim;
return isl_basic_map_finalize(bmap);
error:
isl_basic_set_free(bset);
- isl_dim_free(dim);
+ isl_space_free(dim);
return NULL;
}
bmap = isl_basic_map_cow(bmap);
if (!bmap)
goto error;
- bmap->dim = isl_dim_as_set_dim(bmap->dim);
+ bmap->dim = isl_space_as_set_space(bmap->dim);
if (!bmap->dim)
goto error;
bmap = isl_basic_map_finalize(bmap);
bmap->div[div]);
}
+int isl_basic_set_add_div_constraints(struct isl_basic_set *bset, unsigned div)
+{
+ return isl_basic_map_add_div_constraints(bset, div);
+}
+
struct isl_basic_set *isl_basic_map_underlying_set(
struct isl_basic_map *bmap)
{
goto error;
if (bmap->dim->nparam == 0 && bmap->dim->n_in == 0 &&
bmap->n_div == 0 &&
- !isl_dim_is_named_or_nested(bmap->dim, isl_dim_in) &&
- !isl_dim_is_named_or_nested(bmap->dim, isl_dim_out))
+ !isl_space_is_named_or_nested(bmap->dim, isl_dim_in) &&
+ !isl_space_is_named_or_nested(bmap->dim, isl_dim_out))
return (struct isl_basic_set *)bmap;
bmap = isl_basic_map_cow(bmap);
if (!bmap)
goto error;
- bmap->dim = isl_dim_underlying(bmap->dim, bmap->n_div);
+ bmap->dim = isl_space_underlying(bmap->dim, bmap->n_div);
if (!bmap->dim)
goto error;
bmap->extra -= bmap->n_div;
bmap = isl_basic_map_finalize(bmap);
return (struct isl_basic_set *)bmap;
error:
+ isl_basic_map_free(bmap);
return NULL;
}
isl_assert(ctx, isl_basic_set_n_param(bset) == 0, goto error);
isl_assert(ctx, bset->dim->n_out == isl_basic_map_total_dim(like),
goto error);
- if (isl_dim_equal(bset->dim, like->dim) && like->n_div == 0) {
+ if (isl_space_is_equal(bset->dim, like->dim) && like->n_div == 0) {
isl_basic_map_free(like);
return (struct isl_basic_map *)bset;
}
goto error;
total = bset->dim->n_out + bset->extra;
bmap = (struct isl_basic_map *)bset;
- isl_dim_free(bmap->dim);
- bmap->dim = isl_dim_copy(like->dim);
+ isl_space_free(bmap->dim);
+ bmap->dim = isl_space_copy(like->dim);
if (!bmap->dim)
goto error;
bmap->n_div = like->n_div;
bmap = isl_basic_map_extend_constraints(bmap,
0, 2 * like->n_div);
for (i = 0; i < like->n_div; ++i) {
+ if (!bmap)
+ break;
if (isl_int_is_zero(bmap->div[i][0]))
continue;
if (isl_basic_map_add_div_constraints(bmap, i) < 0)
- goto error;
+ bmap = isl_basic_map_free(bmap);
}
}
isl_basic_map_free(like);
goto error;
isl_assert(set->ctx, set->dim->n_out == isl_basic_set_total_dim(like),
goto error);
- if (isl_dim_equal(set->dim, like->dim) && like->n_div == 0) {
+ if (isl_space_is_equal(set->dim, like->dim) && like->n_div == 0) {
isl_basic_set_free(like);
return set;
}
if (!set->p[i])
goto error;
}
- isl_dim_free(set->dim);
- set->dim = isl_dim_copy(like->dim);
+ isl_space_free(set->dim);
+ set->dim = isl_space_copy(like->dim);
if (!set->dim)
goto error;
isl_basic_set_free(like);
map = isl_map_cow(map);
if (!map)
return NULL;
- map->dim = isl_dim_cow(map->dim);
+ map->dim = isl_space_cow(map->dim);
if (!map->dim)
goto error;
goto error;
}
if (map->n == 0)
- map->dim = isl_dim_underlying(map->dim, 0);
+ map->dim = isl_space_underlying(map->dim, 0);
else {
- isl_dim_free(map->dim);
- map->dim = isl_dim_copy(map->p[0]->dim);
+ isl_space_free(map->dim);
+ map->dim = isl_space_copy(map->p[0]->dim);
}
if (!map->dim)
goto error;
return (struct isl_set *)isl_map_underlying_set((struct isl_map *)set);
}
-__isl_give isl_basic_map *isl_basic_map_reset_dim(
- __isl_take isl_basic_map *bmap, __isl_take isl_dim *dim)
+__isl_give isl_basic_map *isl_basic_map_reset_space(
+ __isl_take isl_basic_map *bmap, __isl_take isl_space *dim)
{
bmap = isl_basic_map_cow(bmap);
if (!bmap || !dim)
goto error;
- isl_dim_free(bmap->dim);
+ isl_space_free(bmap->dim);
bmap->dim = dim;
bmap = isl_basic_map_finalize(bmap);
return bmap;
error:
isl_basic_map_free(bmap);
- isl_dim_free(dim);
+ isl_space_free(dim);
return NULL;
}
-__isl_give isl_basic_set *isl_basic_set_reset_dim(
- __isl_take isl_basic_set *bset, __isl_take isl_dim *dim)
+__isl_give isl_basic_set *isl_basic_set_reset_space(
+ __isl_take isl_basic_set *bset, __isl_take isl_space *dim)
{
- return (isl_basic_set *)isl_basic_map_reset_dim((isl_basic_map *)bset,
+ return (isl_basic_set *)isl_basic_map_reset_space((isl_basic_map *)bset,
dim);
}
-__isl_give isl_map *isl_map_reset_dim(__isl_take isl_map *map,
- __isl_take isl_dim *dim)
+__isl_give isl_map *isl_map_reset_space(__isl_take isl_map *map,
+ __isl_take isl_space *dim)
{
int i;
goto error;
for (i = 0; i < map->n; ++i) {
- map->p[i] = isl_basic_map_reset_dim(map->p[i],
- isl_dim_copy(dim));
+ map->p[i] = isl_basic_map_reset_space(map->p[i],
+ isl_space_copy(dim));
if (!map->p[i])
goto error;
}
- isl_dim_free(map->dim);
+ isl_space_free(map->dim);
map->dim = dim;
return map;
error:
isl_map_free(map);
- isl_dim_free(dim);
+ isl_space_free(dim);
return NULL;
}
-__isl_give isl_set *isl_set_reset_dim(__isl_take isl_set *set,
- __isl_take isl_dim *dim)
+__isl_give isl_set *isl_set_reset_space(__isl_take isl_set *set,
+ __isl_take isl_space *dim)
+{
+ return (struct isl_set *) isl_map_reset_space((struct isl_map *)set, dim);
+}
+
+/* Compute the parameter domain of the given basic set.
+ */
+__isl_give isl_basic_set *isl_basic_set_params(__isl_take isl_basic_set *bset)
+{
+ isl_space *space;
+ unsigned n;
+
+ if (isl_basic_set_is_params(bset))
+ return bset;
+
+ n = isl_basic_set_dim(bset, isl_dim_set);
+ bset = isl_basic_set_project_out(bset, isl_dim_set, 0, n);
+ space = isl_basic_set_get_space(bset);
+ space = isl_space_params(space);
+ bset = isl_basic_set_reset_space(bset, space);
+ return bset;
+}
+
+/* Construct a zero-dimensional basic set with the given parameter domain.
+ */
+__isl_give isl_basic_set *isl_basic_set_from_params(
+ __isl_take isl_basic_set *bset)
+{
+ isl_space *space;
+ space = isl_basic_set_get_space(bset);
+ space = isl_space_set_from_params(space);
+ bset = isl_basic_set_reset_space(bset, space);
+ return bset;
+}
+
+/* Compute the parameter domain of the given set.
+ */
+__isl_give isl_set *isl_set_params(__isl_take isl_set *set)
+{
+ isl_space *space;
+ unsigned n;
+
+ if (isl_set_is_params(set))
+ return set;
+
+ n = isl_set_dim(set, isl_dim_set);
+ set = isl_set_project_out(set, isl_dim_set, 0, n);
+ space = isl_set_get_space(set);
+ space = isl_space_params(space);
+ set = isl_set_reset_space(set, space);
+ return set;
+}
+
+/* Construct a zero-dimensional set with the given parameter domain.
+ */
+__isl_give isl_set *isl_set_from_params(__isl_take isl_set *set)
{
- return (struct isl_set *) isl_map_reset_dim((struct isl_map *)set, dim);
+ isl_space *space;
+ space = isl_set_get_space(set);
+ space = isl_space_set_from_params(space);
+ set = isl_set_reset_space(set, space);
+ return set;
+}
+
+/* Compute the parameter domain of the given map.
+ */
+__isl_give isl_set *isl_map_params(__isl_take isl_map *map)
+{
+ isl_space *space;
+ unsigned n;
+
+ n = isl_map_dim(map, isl_dim_in);
+ map = isl_map_project_out(map, isl_dim_in, 0, n);
+ n = isl_map_dim(map, isl_dim_out);
+ map = isl_map_project_out(map, isl_dim_out, 0, n);
+ space = isl_map_get_space(map);
+ space = isl_space_params(space);
+ map = isl_map_reset_space(map, space);
+ return map;
}
struct isl_basic_set *isl_basic_map_domain(struct isl_basic_map *bmap)
{
- isl_dim *dim;
+ isl_space *dim;
struct isl_basic_set *domain;
unsigned n_in;
unsigned n_out;
if (!bmap)
return NULL;
- dim = isl_dim_domain(isl_basic_map_get_dim(bmap));
+ dim = isl_space_domain(isl_basic_map_get_space(bmap));
n_in = isl_basic_map_n_in(bmap);
n_out = isl_basic_map_n_out(bmap);
domain = isl_basic_set_from_basic_map(bmap);
domain = isl_basic_set_project_out(domain, isl_dim_set, n_in, n_out);
- domain = isl_basic_set_reset_dim(domain, dim);
+ domain = isl_basic_set_reset_space(domain, dim);
return domain;
}
{
if (!bmap)
return -1;
- return isl_dim_may_be_set(bmap->dim);
+ return isl_space_may_be_set(bmap->dim);
+}
+
+/* Is this basic map actually a set?
+ * Users should never call this function. Outside of isl,
+ * the type should indicate whether something is a set or a map.
+ */
+int isl_basic_map_is_set(__isl_keep isl_basic_map *bmap)
+{
+ if (!bmap)
+ return -1;
+ return isl_space_is_set(bmap->dim);
}
struct isl_basic_set *isl_basic_map_range(struct isl_basic_map *bmap)
{
if (!bmap)
return NULL;
- if (isl_basic_map_may_be_set(bmap))
+ if (isl_basic_map_is_set(bmap))
return bmap;
return isl_basic_map_domain(isl_basic_map_reverse(bmap));
}
__isl_take isl_basic_map *bmap)
{
int i, k;
- isl_dim *dim;
+ isl_space *dim;
isl_basic_map *domain;
int nparam, n_in, n_out;
unsigned total;
n_in = isl_basic_map_dim(bmap, isl_dim_in);
n_out = isl_basic_map_dim(bmap, isl_dim_out);
- dim = isl_dim_from_range(isl_dim_domain(isl_basic_map_get_dim(bmap)));
+ dim = isl_space_from_range(isl_space_domain(isl_basic_map_get_space(bmap)));
domain = isl_basic_map_universe(dim);
bmap = isl_basic_map_from_domain(isl_basic_map_wrap(bmap));
__isl_take isl_basic_map *bmap)
{
int i, k;
- isl_dim *dim;
+ isl_space *dim;
isl_basic_map *range;
int nparam, n_in, n_out;
unsigned total;
n_in = isl_basic_map_dim(bmap, isl_dim_in);
n_out = isl_basic_map_dim(bmap, isl_dim_out);
- dim = isl_dim_from_range(isl_dim_range(isl_basic_map_get_dim(bmap)));
+ dim = isl_space_from_range(isl_space_range(isl_basic_map_get_space(bmap)));
range = isl_basic_map_universe(dim);
bmap = isl_basic_map_from_domain(isl_basic_map_wrap(bmap));
{
if (!map)
return -1;
- return isl_dim_may_be_set(map->dim);
+ return isl_space_may_be_set(map->dim);
+}
+
+/* Is this map actually a set?
+ * Users should never call this function. Outside of isl,
+ * the type should indicate whether something is a set or a map.
+ */
+int isl_map_is_set(__isl_keep isl_map *map)
+{
+ if (!map)
+ return -1;
+ return isl_space_is_set(map->dim);
}
struct isl_set *isl_map_range(struct isl_map *map)
if (!map)
goto error;
- if (isl_map_may_be_set(map))
+ if (isl_map_is_set(map))
return (isl_set *)map;
map = isl_map_cow(map);
goto error;
set = (struct isl_set *) map;
- set->dim = isl_dim_drop_inputs(set->dim, 0, set->dim->n_in);
+ set->dim = isl_space_range(set->dim);
if (!set->dim)
goto error;
for (i = 0; i < map->n; ++i) {
__isl_give isl_map *isl_map_domain_map(__isl_take isl_map *map)
{
int i;
- isl_dim *domain_dim;
+ isl_space *domain_dim;
map = isl_map_cow(map);
if (!map)
return NULL;
- domain_dim = isl_dim_from_range(isl_dim_domain(isl_map_get_dim(map)));
- map->dim = isl_dim_from_domain(isl_dim_wrap(map->dim));
- map->dim = isl_dim_join(map->dim, domain_dim);
+ domain_dim = isl_space_from_range(isl_space_domain(isl_map_get_space(map)));
+ map->dim = isl_space_from_domain(isl_space_wrap(map->dim));
+ map->dim = isl_space_join(map->dim, domain_dim);
if (!map->dim)
goto error;
for (i = 0; i < map->n; ++i) {
__isl_give isl_map *isl_map_range_map(__isl_take isl_map *map)
{
int i;
- isl_dim *range_dim;
+ isl_space *range_dim;
map = isl_map_cow(map);
if (!map)
return NULL;
- range_dim = isl_dim_range(isl_map_get_dim(map));
- map->dim = isl_dim_from_domain(isl_dim_wrap(map->dim));
- map->dim = isl_dim_join(map->dim, range_dim);
+ range_dim = isl_space_range(isl_map_get_space(map));
+ range_dim = isl_space_from_range(range_dim);
+ map->dim = isl_space_from_domain(isl_space_wrap(map->dim));
+ map->dim = isl_space_join(map->dim, range_dim);
if (!map->dim)
goto error;
for (i = 0; i < map->n; ++i) {
return NULL;
}
-struct isl_map *isl_map_from_set(struct isl_set *set, struct isl_dim *dim)
+__isl_give isl_map *isl_map_from_set(__isl_take isl_set *set,
+ __isl_take isl_space *dim)
{
int i;
struct isl_map *map = NULL;
set = isl_set_cow(set);
if (!set || !dim)
goto error;
- isl_assert(set->ctx, isl_dim_compatible(set->dim, dim), goto error);
+ isl_assert(set->ctx, isl_space_compatible(set->dim, dim), goto error);
map = (struct isl_map *)set;
for (i = 0; i < set->n; ++i) {
map->p[i] = isl_basic_map_from_basic_set(
- set->p[i], isl_dim_copy(dim));
+ set->p[i], isl_space_copy(dim));
if (!map->p[i])
goto error;
}
- isl_dim_free(map->dim);
+ isl_space_free(map->dim);
map->dim = dim;
return map;
error:
- isl_dim_free(dim);
+ isl_space_free(dim);
isl_set_free(set);
return NULL;
}
__isl_give isl_basic_map *isl_basic_map_from_range(
__isl_take isl_basic_set *bset)
{
+ isl_space *space;
+ space = isl_basic_set_get_space(bset);
+ space = isl_space_from_range(space);
+ bset = isl_basic_set_reset_space(bset, space);
return (isl_basic_map *)bset;
}
struct isl_map *isl_map_from_range(struct isl_set *set)
{
+ isl_space *space;
+ space = isl_set_get_space(set);
+ space = isl_space_from_range(space);
+ set = isl_set_reset_space(set, space);
return (struct isl_map *)set;
}
__isl_give isl_basic_map *isl_basic_map_from_domain_and_range(
__isl_take isl_basic_set *domain, __isl_take isl_basic_set *range)
{
- return isl_basic_map_apply_range(isl_basic_map_from_domain(domain),
- isl_basic_map_from_range(range));
+ return isl_basic_map_apply_range(isl_basic_map_reverse(domain), range);
}
__isl_give isl_map *isl_map_from_domain_and_range(__isl_take isl_set *domain,
__isl_take isl_set *range)
{
- return isl_map_apply_range(isl_map_from_domain(domain),
- isl_map_from_range(range));
+ return isl_map_apply_range(isl_map_reverse(domain), range);
}
struct isl_set *isl_set_from_map(struct isl_map *map)
map = isl_map_cow(map);
if (!map)
return NULL;
- map->dim = isl_dim_as_set_dim(map->dim);
+ map->dim = isl_space_as_set_space(map->dim);
if (!map->dim)
goto error;
set = (struct isl_set *)map;
return NULL;
}
-struct isl_map *isl_map_alloc_dim(struct isl_dim *dim, int n, unsigned flags)
+__isl_give isl_map *isl_map_alloc_space(__isl_take isl_space *dim, int n,
+ unsigned flags)
{
struct isl_map *map;
if (!dim)
return NULL;
- isl_assert(dim->ctx, n >= 0, return NULL);
+ if (n < 0)
+ isl_die(dim->ctx, isl_error_internal,
+ "negative number of basic maps", goto error);
map = isl_alloc(dim->ctx, struct isl_map,
sizeof(struct isl_map) +
(n - 1) * sizeof(struct isl_basic_map *));
map->flags = flags;
return map;
error:
- isl_dim_free(dim);
+ isl_space_free(dim);
return NULL;
}
unsigned flags)
{
struct isl_map *map;
- struct isl_dim *dims;
+ isl_space *dims;
- dims = isl_dim_alloc(ctx, nparam, in, out);
+ dims = isl_space_alloc(ctx, nparam, in, out);
if (!dims)
return NULL;
- map = isl_map_alloc_dim(dims, n, flags);
+ map = isl_map_alloc_space(dims, n, flags);
return map;
}
-struct isl_basic_map *isl_basic_map_empty(struct isl_dim *dim)
+__isl_give isl_basic_map *isl_basic_map_empty(__isl_take isl_space *dim)
{
struct isl_basic_map *bmap;
- bmap = isl_basic_map_alloc_dim(dim, 0, 1, 0);
+ bmap = isl_basic_map_alloc_space(dim, 0, 1, 0);
bmap = isl_basic_map_set_to_empty(bmap);
return bmap;
}
-struct isl_basic_set *isl_basic_set_empty(struct isl_dim *dim)
+__isl_give isl_basic_set *isl_basic_set_empty(__isl_take isl_space *dim)
{
struct isl_basic_set *bset;
- bset = isl_basic_set_alloc_dim(dim, 0, 1, 0);
+ bset = isl_basic_set_alloc_space(dim, 0, 1, 0);
bset = isl_basic_set_set_to_empty(bset);
return bset;
}
struct isl_basic_map *bmap;
if (!model)
return NULL;
- bmap = isl_basic_map_alloc_dim(isl_dim_copy(model->dim), 0, 1, 0);
+ bmap = isl_basic_map_alloc_space(isl_space_copy(model->dim), 0, 1, 0);
bmap = isl_basic_map_set_to_empty(bmap);
return bmap;
}
struct isl_basic_map *bmap;
if (!model)
return NULL;
- bmap = isl_basic_map_alloc_dim(isl_dim_copy(model->dim), 0, 1, 0);
+ bmap = isl_basic_map_alloc_space(isl_space_copy(model->dim), 0, 1, 0);
bmap = isl_basic_map_set_to_empty(bmap);
return bmap;
}
struct isl_basic_set *bset;
if (!model)
return NULL;
- bset = isl_basic_set_alloc_dim(isl_dim_copy(model->dim), 0, 1, 0);
+ bset = isl_basic_set_alloc_space(isl_space_copy(model->dim), 0, 1, 0);
bset = isl_basic_set_set_to_empty(bset);
return bset;
}
-struct isl_basic_map *isl_basic_map_universe(struct isl_dim *dim)
+__isl_give isl_basic_map *isl_basic_map_universe(__isl_take isl_space *dim)
{
struct isl_basic_map *bmap;
- bmap = isl_basic_map_alloc_dim(dim, 0, 0, 0);
+ bmap = isl_basic_map_alloc_space(dim, 0, 0, 0);
bmap = isl_basic_map_finalize(bmap);
return bmap;
}
-struct isl_basic_set *isl_basic_set_universe(struct isl_dim *dim)
+__isl_give isl_basic_set *isl_basic_set_universe(__isl_take isl_space *dim)
{
struct isl_basic_set *bset;
- bset = isl_basic_set_alloc_dim(dim, 0, 0, 0);
+ bset = isl_basic_set_alloc_space(dim, 0, 0, 0);
bset = isl_basic_set_finalize(bset);
return bset;
}
-__isl_give isl_basic_map *isl_basic_map_nat_universe(__isl_take isl_dim *dim)
+__isl_give isl_basic_map *isl_basic_map_nat_universe(__isl_take isl_space *dim)
{
int i;
- unsigned total = isl_dim_total(dim);
+ unsigned total = isl_space_dim(dim, isl_dim_all);
isl_basic_map *bmap;
- bmap= isl_basic_map_alloc_dim(dim, 0, 0, total);
+ bmap= isl_basic_map_alloc_space(dim, 0, 0, total);
for (i = 0; i < total; ++i) {
int k = isl_basic_map_alloc_inequality(bmap);
if (k < 0)
return NULL;
}
-__isl_give isl_basic_set *isl_basic_set_nat_universe(__isl_take isl_dim *dim)
+__isl_give isl_basic_set *isl_basic_set_nat_universe(__isl_take isl_space *dim)
{
return isl_basic_map_nat_universe(dim);
}
-__isl_give isl_map *isl_map_nat_universe(__isl_take isl_dim *dim)
+__isl_give isl_map *isl_map_nat_universe(__isl_take isl_space *dim)
{
return isl_map_from_basic_map(isl_basic_map_nat_universe(dim));
}
-__isl_give isl_set *isl_set_nat_universe(__isl_take isl_dim *dim)
+__isl_give isl_set *isl_set_nat_universe(__isl_take isl_space *dim)
{
return isl_map_nat_universe(dim);
}
{
if (!model)
return NULL;
- return isl_basic_map_alloc_dim(isl_dim_copy(model->dim), 0, 0, 0);
+ return isl_basic_map_alloc_space(isl_space_copy(model->dim), 0, 0, 0);
}
struct isl_basic_set *isl_basic_set_universe_like(struct isl_basic_set *model)
{
if (!model)
return NULL;
- return isl_basic_set_alloc_dim(isl_dim_copy(model->dim), 0, 0, 0);
+ return isl_basic_set_alloc_space(isl_space_copy(model->dim), 0, 0, 0);
}
__isl_give isl_basic_set *isl_basic_set_universe_like_set(
{
if (!model)
return NULL;
- return isl_basic_set_alloc_dim(isl_dim_copy(model->dim), 0, 0, 0);
+ return isl_basic_set_alloc_space(isl_space_copy(model->dim), 0, 0, 0);
}
-struct isl_map *isl_map_empty(struct isl_dim *dim)
+__isl_give isl_map *isl_map_empty(__isl_take isl_space *dim)
{
- return isl_map_alloc_dim(dim, 0, ISL_MAP_DISJOINT);
+ return isl_map_alloc_space(dim, 0, ISL_MAP_DISJOINT);
}
struct isl_map *isl_map_empty_like(struct isl_map *model)
{
if (!model)
return NULL;
- return isl_map_alloc_dim(isl_dim_copy(model->dim), 0, ISL_MAP_DISJOINT);
+ return isl_map_alloc_space(isl_space_copy(model->dim), 0, ISL_MAP_DISJOINT);
}
struct isl_map *isl_map_empty_like_basic_map(struct isl_basic_map *model)
{
if (!model)
return NULL;
- return isl_map_alloc_dim(isl_dim_copy(model->dim), 0, ISL_MAP_DISJOINT);
+ return isl_map_alloc_space(isl_space_copy(model->dim), 0, ISL_MAP_DISJOINT);
}
-struct isl_set *isl_set_empty(struct isl_dim *dim)
+__isl_give isl_set *isl_set_empty(__isl_take isl_space *dim)
{
- return isl_set_alloc_dim(dim, 0, ISL_MAP_DISJOINT);
+ return isl_set_alloc_space(dim, 0, ISL_MAP_DISJOINT);
}
struct isl_set *isl_set_empty_like(struct isl_set *model)
{
if (!model)
return NULL;
- return isl_set_empty(isl_dim_copy(model->dim));
+ return isl_set_empty(isl_space_copy(model->dim));
}
-struct isl_map *isl_map_universe(struct isl_dim *dim)
+__isl_give isl_map *isl_map_universe(__isl_take isl_space *dim)
{
struct isl_map *map;
if (!dim)
return NULL;
- map = isl_map_alloc_dim(isl_dim_copy(dim), 1, ISL_MAP_DISJOINT);
+ map = isl_map_alloc_space(isl_space_copy(dim), 1, ISL_MAP_DISJOINT);
map = isl_map_add_basic_map(map, isl_basic_map_universe(dim));
return map;
}
-struct isl_set *isl_set_universe(struct isl_dim *dim)
+__isl_give isl_set *isl_set_universe(__isl_take isl_space *dim)
{
struct isl_set *set;
if (!dim)
return NULL;
- set = isl_set_alloc_dim(isl_dim_copy(dim), 1, ISL_MAP_DISJOINT);
+ set = isl_set_alloc_space(isl_space_copy(dim), 1, ISL_MAP_DISJOINT);
set = isl_set_add_basic_set(set, isl_basic_set_universe(dim));
return set;
}
{
if (!model)
return NULL;
- return isl_set_universe(isl_dim_copy(model->dim));
+ return isl_set_universe(isl_space_copy(model->dim));
}
struct isl_map *isl_map_dup(struct isl_map *map)
if (!map)
return NULL;
- dup = isl_map_alloc_dim(isl_dim_copy(map->dim), map->n, map->flags);
+ dup = isl_map_alloc_space(isl_space_copy(map->dim), map->n, map->flags);
for (i = 0; i < map->n; ++i)
dup = isl_map_add_basic_map(dup, isl_basic_map_copy(map->p[i]));
return dup;
isl_basic_map_free(bmap);
return map;
}
- isl_assert(map->ctx, isl_dim_equal(map->dim, bmap->dim), goto error);
+ isl_assert(map->ctx, isl_space_is_equal(map->dim, bmap->dim), goto error);
isl_assert(map->ctx, map->n < map->size, goto error);
map->p[map->n] = bmap;
map->n++;
return NULL;
}
-void isl_map_free(struct isl_map *map)
+void *isl_map_free(struct isl_map *map)
{
int i;
if (!map)
- return;
+ return NULL;
if (--map->ref > 0)
- return;
+ return NULL;
isl_ctx_deref(map->ctx);
for (i = 0; i < map->n; ++i)
isl_basic_map_free(map->p[i]);
- isl_dim_free(map->dim);
+ isl_space_free(map->dim);
free(map);
+
+ return NULL;
}
struct isl_map *isl_map_extend(struct isl_map *base,
if (!base)
return NULL;
- base->dim = isl_dim_extend(base->dim, nparam, n_in, n_out);
+ base->dim = isl_space_extend(base->dim, nparam, n_in, n_out);
if (!base->dim)
goto error;
for (i = 0; i < base->n; ++i) {
- base->p[i] = isl_basic_map_extend_dim(base->p[i],
- isl_dim_copy(base->dim), 0, 0, 0);
+ base->p[i] = isl_basic_map_extend_space(base->p[i],
+ isl_space_copy(base->dim), 0, 0, 0);
if (!base->p[i])
goto error;
}
isl_dim_set, dim, value);
}
+static int remove_if_empty(__isl_keep isl_map *map, int i)
+{
+ int empty = isl_basic_map_plain_is_empty(map->p[i]);
+
+ if (empty < 0)
+ return -1;
+ if (!empty)
+ return 0;
+
+ isl_basic_map_free(map->p[i]);
+ if (i != map->n - 1) {
+ ISL_F_CLR(map, ISL_MAP_NORMALIZED);
+ map->p[i] = map->p[map->n - 1];
+ }
+ map->n--;
+
+ return 0;
+}
+
+/* Perform "fn" on each basic map of "map", where we may not be holding
+ * the only reference to "map".
+ * In particular, "fn" should be a semantics preserving operation
+ * that we want to apply to all copies of "map". We therefore need
+ * to be careful not to modify "map" in a way that breaks "map"
+ * in case anything goes wrong.
+ */
+__isl_give isl_map *isl_map_inline_foreach_basic_map(__isl_take isl_map *map,
+ __isl_give isl_basic_map *(*fn)(__isl_take isl_basic_map *bmap))
+{
+ struct isl_basic_map *bmap;
+ int i;
+
+ if (!map)
+ return NULL;
+
+ for (i = map->n - 1; i >= 0; --i) {
+ bmap = isl_basic_map_copy(map->p[i]);
+ bmap = fn(bmap);
+ if (!bmap)
+ goto error;
+ isl_basic_map_free(map->p[i]);
+ map->p[i] = bmap;
+ if (remove_if_empty(map, i) < 0)
+ goto error;
+ }
+
+ return map;
+error:
+ isl_map_free(map);
+ return NULL;
+}
+
struct isl_map *isl_map_fix_si(struct isl_map *map,
enum isl_dim_type type, unsigned pos, int value)
{
return NULL;
isl_assert(map->ctx, pos < isl_map_dim(map, type), goto error);
- for (i = 0; i < map->n; ++i) {
+ for (i = map->n - 1; i >= 0; --i) {
map->p[i] = isl_basic_map_fix_si(map->p[i], type, pos, value);
- if (!map->p[i])
+ if (remove_if_empty(map, i) < 0)
goto error;
}
ISL_F_CLR(map, ISL_MAP_NORMALIZED);
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)
+static __isl_give isl_basic_map *basic_map_bound_si(
+ __isl_take isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos, int value, int upper)
{
int j;
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);
+ if (upper) {
+ isl_int_set_si(bmap->ineq[j][pos], -1);
+ isl_int_set_si(bmap->ineq[j][0], value);
+ } else {
+ 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:
return NULL;
}
+__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)
+{
+ return basic_map_bound_si(bmap, type, pos, value, 0);
+}
+
+/* Constrain the values of the given dimension to be no greater than "value".
+ */
+__isl_give isl_basic_map *isl_basic_map_upper_bound_si(
+ __isl_take isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos, int value)
+{
+ return basic_map_bound_si(bmap, type, pos, value, 1);
+}
+
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)
+static __isl_give isl_map *map_bound_si(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned pos, int value, int upper)
{
int i;
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);
+ map->p[i] = basic_map_bound_si(map->p[i],
+ type, pos, value, upper);
if (!map->p[i])
goto error;
}
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)
+{
+ return map_bound_si(map, type, pos, value, 0);
+}
+
+__isl_give isl_map *isl_map_upper_bound_si(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned pos, int value)
+{
+ return map_bound_si(map, type, pos, value, 1);
+}
+
__isl_give isl_set *isl_set_lower_bound_si(__isl_take isl_set *set,
enum isl_dim_type type, unsigned pos, int value)
{
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)
+__isl_give isl_set *isl_set_upper_bound_si(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned pos, int value)
{
- int i;
+ return isl_map_upper_bound_si(set, type, pos, value);
+}
- set = isl_set_cow(set);
- if (!set)
- return NULL;
+/* Bound the given variable of "bmap" from below (or above is "upper"
+ * is set) to "value".
+ */
+static __isl_give isl_basic_map *basic_map_bound(
+ __isl_take isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos, isl_int value, int upper)
+{
+ int j;
- isl_assert(set->ctx, dim < isl_set_n_dim(set), goto error);
- for (i = 0; i < set->n; ++i) {
- set->p[i] = isl_basic_set_lower_bound_dim(set->p[i], dim, value);
+ if (!bmap)
+ return NULL;
+ if (pos >= isl_basic_map_dim(bmap, type))
+ isl_die(bmap->ctx, isl_error_invalid,
+ "index out of bounds", 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));
+ if (upper) {
+ isl_int_set_si(bmap->ineq[j][pos], -1);
+ isl_int_set(bmap->ineq[j][0], value);
+ } else {
+ isl_int_set_si(bmap->ineq[j][pos], 1);
+ isl_int_neg(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;
+}
+
+/* Bound the given variable of "map" from below (or above is "upper"
+ * is set) to "value".
+ */
+static __isl_give isl_map *map_bound(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned pos, isl_int value, int upper)
+{
+ int i;
+
+ map = isl_map_cow(map);
+ if (!map)
+ return NULL;
+
+ if (pos >= isl_map_dim(map, type))
+ isl_die(map->ctx, isl_error_invalid,
+ "index out of bounds", goto error);
+ for (i = map->n - 1; i >= 0; --i) {
+ map->p[i] = basic_map_bound(map->p[i], type, pos, value, upper);
+ if (remove_if_empty(map, i) < 0)
+ goto error;
+ }
+ ISL_F_CLR(map, ISL_MAP_NORMALIZED);
+ return map;
+error:
+ isl_map_free(map);
+ return NULL;
+}
+
+__isl_give isl_map *isl_map_lower_bound(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned pos, isl_int value)
+{
+ return map_bound(map, type, pos, value, 0);
+}
+
+__isl_give isl_map *isl_map_upper_bound(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned pos, isl_int value)
+{
+ return map_bound(map, type, pos, value, 1);
+}
+
+__isl_give isl_set *isl_set_lower_bound(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned pos, isl_int value)
+{
+ return isl_map_lower_bound(set, type, pos, value);
+}
+
+__isl_give isl_set *isl_set_upper_bound(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned pos, isl_int value)
+{
+ return isl_map_upper_bound(set, type, pos, value);
+}
+
+struct isl_set *isl_set_lower_bound_dim(struct isl_set *set, unsigned dim,
+ isl_int value)
+{
+ int i;
+
+ set = isl_set_cow(set);
+ if (!set)
+ return NULL;
+
+ isl_assert(set->ctx, dim < isl_set_n_dim(set), goto error);
+ for (i = 0; i < set->n; ++i) {
+ set->p[i] = isl_basic_set_lower_bound_dim(set->p[i], dim, value);
if (!set->p[i])
goto error;
}
if (!map)
return NULL;
- map->dim = isl_dim_reverse(map->dim);
+ map->dim = isl_space_reverse(map->dim);
if (!map->dim)
goto error;
for (i = 0; i < map->n; ++i) {
dom, empty);
}
-/* Given a basic map "bmap", compute the lexicographically minimal
- * (or maximal) image element for each domain element in dom.
+__isl_give isl_pw_multi_aff *isl_basic_map_partial_lexmin_pw_multi_aff(
+ __isl_take isl_basic_map *bmap, __isl_take isl_basic_set *dom,
+ __isl_give isl_set **empty)
+{
+ return isl_basic_map_partial_lexopt_pw_multi_aff(bmap, dom, empty, 0);
+}
+
+__isl_give isl_pw_multi_aff *isl_basic_map_partial_lexmax_pw_multi_aff(
+ __isl_take isl_basic_map *bmap, __isl_take isl_basic_set *dom,
+ __isl_give isl_set **empty)
+{
+ return isl_basic_map_partial_lexopt_pw_multi_aff(bmap, dom, empty, 1);
+}
+
+__isl_give isl_pw_multi_aff *isl_basic_set_partial_lexmin_pw_multi_aff(
+ __isl_take isl_basic_set *bset, __isl_take isl_basic_set *dom,
+ __isl_give isl_set **empty)
+{
+ return isl_basic_map_partial_lexmin_pw_multi_aff(bset, dom, empty);
+}
+
+__isl_give isl_pw_multi_aff *isl_basic_set_partial_lexmax_pw_multi_aff(
+ __isl_take isl_basic_set *bset, __isl_take isl_basic_set *dom,
+ __isl_give isl_set **empty)
+{
+ return isl_basic_map_partial_lexmax_pw_multi_aff(bset, dom, empty);
+}
+
+__isl_give isl_pw_multi_aff *isl_basic_map_lexopt_pw_multi_aff(
+ __isl_take isl_basic_map *bmap, int max)
+{
+ isl_basic_set *dom = NULL;
+ isl_space *dom_space;
+
+ if (!bmap)
+ goto error;
+ dom_space = isl_space_domain(isl_space_copy(bmap->dim));
+ dom = isl_basic_set_universe(dom_space);
+ return isl_basic_map_partial_lexopt_pw_multi_aff(bmap, dom, NULL, max);
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+__isl_give isl_pw_multi_aff *isl_basic_map_lexmin_pw_multi_aff(
+ __isl_take isl_basic_map *bmap)
+{
+ return isl_basic_map_lexopt_pw_multi_aff(bmap, 0);
+}
+
+#undef TYPE
+#define TYPE isl_pw_multi_aff
+#undef SUFFIX
+#define SUFFIX _pw_multi_aff
+#undef EMPTY
+#define EMPTY isl_pw_multi_aff_empty
+#undef ADD
+#define ADD isl_pw_multi_aff_union_add
+#include "isl_map_lexopt_templ.c"
+
+/* Given a map "map", compute the lexicographically minimal
+ * (or maximal) image element for each domain element in dom,
+ * in the form of an isl_pw_multi_aff.
* 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.
+ * 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
+ * update both "res" and "todo".
*/
-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)
+static __isl_give isl_pw_multi_aff *isl_map_partial_lexopt_aligned_pw_multi_aff(
+ __isl_take isl_map *map, __isl_take isl_set *dom,
+ __isl_give isl_set **empty, int max)
{
int i;
- struct isl_map *res;
+ isl_pw_multi_aff *res;
+ isl_set *todo;
- dom = isl_set_make_disjoint(dom);
- if (!dom)
+ if (!map || !dom)
goto error;
- if (isl_set_plain_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;
+ if (isl_map_plain_is_empty(map)) {
+ if (empty)
+ *empty = dom;
+ else
+ isl_set_free(dom);
+ return isl_pw_multi_aff_from_map(map);
}
- 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 = basic_map_partial_lexopt_pw_multi_aff(
+ isl_basic_map_copy(map->p[0]),
+ isl_set_copy(dom), &todo, max);
- res_i = isl_basic_map_partial_lexopt(isl_basic_map_copy(bmap),
- isl_basic_set_copy(dom->p[i]), &empty_i, max);
+ for (i = 1; i < map->n; ++i) {
+ isl_pw_multi_aff *res_i;
+ isl_set *todo_i;
- res = isl_map_union_disjoint(res, res_i);
- *empty = isl_set_union_disjoint(*empty, empty_i);
+ res_i = basic_map_partial_lexopt_pw_multi_aff(
+ isl_basic_map_copy(map->p[i]),
+ isl_set_copy(dom), &todo_i, max);
+
+ if (max)
+ res = isl_pw_multi_aff_union_lexmax(res, res_i);
+ else
+ res = isl_pw_multi_aff_union_lexmin(res, res_i);
+
+ todo = isl_set_intersect(todo, todo_i);
}
isl_set_free(dom);
- isl_basic_map_free(bmap);
+ isl_map_free(map);
+
+ if (empty)
+ *empty = todo;
+ else
+ isl_set_free(todo);
+
return res;
error:
- *empty = NULL;
+ if (empty)
+ *empty = NULL;
isl_set_free(dom);
- isl_basic_map_free(bmap);
+ isl_map_free(map);
return NULL;
}
+#undef TYPE
+#define TYPE isl_map
+#undef SUFFIX
+#define SUFFIX
+#undef EMPTY
+#define EMPTY isl_map_empty
+#undef ADD
+#define ADD isl_map_union_disjoint
+#include "isl_map_lexopt_templ.c"
+
/* Given a map "map", compute the lexicographically 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.
* 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".
+ * update 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.
* even when the domain of basic map i is disjoint from the domains of
* the previous basic maps.
*/
-static __isl_give isl_map *isl_map_partial_lexopt(
+static __isl_give isl_map *isl_map_partial_lexopt_aligned(
__isl_take isl_map *map, __isl_take isl_set *dom,
__isl_give isl_set **empty, int max)
{
isl_map *lt, *le;
isl_map *res_i;
isl_set *todo_i;
- isl_dim *dim = isl_dim_range(isl_map_get_dim(res));
+ isl_space *dim = isl_space_range(isl_map_get_space(res));
res_i = basic_map_partial_lexopt(isl_basic_map_copy(map->p[i]),
isl_set_copy(dom), &todo_i, max);
if (max) {
- lt = isl_map_lex_lt(isl_dim_copy(dim));
+ lt = isl_map_lex_lt(isl_space_copy(dim));
le = isl_map_lex_le(dim);
} else {
- lt = isl_map_lex_gt(isl_dim_copy(dim));
+ lt = isl_map_lex_gt(isl_space_copy(dim));
le = isl_map_lex_ge(dim);
}
lt = isl_map_apply_range(isl_map_copy(res), lt);
dom, empty);
}
+/* Compute the lexicographic minimum (or maximum if "max" is set)
+ * of "bmap" over its domain.
+ *
+ * Since we are not interested in the part of the domain space where
+ * there is no solution, we initialize the domain to those constraints
+ * of "bmap" that only involve the parameters and the input dimensions.
+ * This relieves the parametric programming engine from detecting those
+ * inequalities and transferring them to the context. More importantly,
+ * it ensures that those inequalities are transferred first and not
+ * intermixed with inequalities that actually split the domain.
+ */
__isl_give isl_map *isl_basic_map_lexopt(__isl_take isl_basic_map *bmap, int max)
{
- struct isl_basic_set *dom = NULL;
- struct isl_dim *dom_dim;
+ int n_div;
+ int n_out;
+ isl_basic_map *copy;
+ isl_basic_set *dom;
- if (!bmap)
- goto error;
- dom_dim = isl_dim_domain(isl_dim_copy(bmap->dim));
- dom = isl_basic_set_universe(dom_dim);
+ n_div = isl_basic_map_dim(bmap, isl_dim_div);
+ n_out = isl_basic_map_dim(bmap, isl_dim_out);
+ copy = isl_basic_map_copy(bmap);
+ copy = isl_basic_map_drop_constraints_involving_dims(copy,
+ isl_dim_div, 0, n_div);
+ copy = isl_basic_map_drop_constraints_involving_dims(copy,
+ isl_dim_out, 0, n_out);
+ dom = isl_basic_map_domain(copy);
return isl_basic_map_partial_lexopt(bmap, dom, NULL, max);
-error:
- isl_basic_map_free(bmap);
- return NULL;
}
__isl_give isl_map *isl_basic_map_lexmin(__isl_take isl_basic_map *bmap)
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_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);
-}
-
-/* Construct a map that equates the two given dimensions in the given space.
- */
-static __isl_give isl_map *equate(__isl_take isl_dim *dim,
- enum isl_dim_type src_type, int src_pos,
- enum isl_dim_type dst_type, int dst_pos)
-{
- isl_basic_map *bmap;
- int k;
-
- bmap = isl_basic_map_alloc_dim(dim, 0, 1, 0);
- k = isl_basic_map_alloc_equality(bmap);
- if (k < 0)
- goto error;
- isl_seq_clr(bmap->eq[k], 1 + isl_basic_map_total_dim(bmap));
- src_pos += isl_basic_map_offset(bmap, src_type);
- dst_pos += isl_basic_map_offset(bmap, dst_type);
- isl_int_set_si(bmap->eq[k][src_pos], 1);
- isl_int_set_si(bmap->eq[k][dst_pos], -1);
-
- return isl_map_from_basic_map(bmap);
-error:
- isl_basic_map_free(bmap);
- return NULL;
-}
-
/* Extract the first and only affine expression from list
* and then add it to *pwaff with the given dom.
* This domain is known to be disjoint from other domains
- * because of the way isl_basic_set_foreach_lexmax works.
+ * because of the way isl_basic_map_foreach_lexmax works.
*/
-static int update_dim_max(__isl_take isl_basic_set *dom,
+static int update_dim_opt(__isl_take isl_basic_set *dom,
__isl_take isl_aff_list *list, void *user)
{
isl_ctx *ctx = isl_basic_set_get_ctx(dom);
isl_pw_aff **pwaff = user;
isl_pw_aff *pwaff_i;
+ if (!list)
+ goto error;
if (isl_aff_list_n_aff(list) != 1)
isl_die(ctx, isl_error_internal,
"expecting single element list", goto error);
return -1;
}
-/* Given a one-dimensional basic set, compute the maximum of that
- * dimension as an isl_pw_aff.
+/* Given a basic map with one output dimension, compute the minimum or
+ * maximum of that dimension as an isl_pw_aff.
*
- * The isl_pw_aff is constructed by having isl_basic_set_foreach_lexmax
- * call update_dim_max on each leaf of the result.
+ * The isl_pw_aff is constructed by having isl_basic_map_foreach_lexopt
+ * call update_dim_opt on each leaf of the result.
*/
-static __isl_give isl_pw_aff *basic_set_dim_max(__isl_keep isl_basic_set *bset)
+static __isl_give isl_pw_aff *basic_map_dim_opt(__isl_keep isl_basic_map *bmap,
+ int max)
{
- isl_dim *dim = isl_basic_set_get_dim(bset);
+ isl_space *dim = isl_basic_map_get_space(bmap);
isl_pw_aff *pwaff;
int r;
- dim = isl_dim_domain(isl_dim_from_range(dim));
+ dim = isl_space_from_domain(isl_space_domain(dim));
+ dim = isl_space_add_dims(dim, isl_dim_out, 1);
pwaff = isl_pw_aff_empty(dim);
- r = isl_basic_set_foreach_lexmax(bset, &update_dim_max, &pwaff);
+ r = isl_basic_map_foreach_lexopt(bmap, max, &update_dim_opt, &pwaff);
if (r < 0)
return isl_pw_aff_free(pwaff);
return pwaff;
}
-/* Compute the maximum of the given set dimension as a function of the
- * parameters, but independently of the other set dimensions.
+/* Compute the minimum or maximum of the given output dimension
+ * as a function of the parameters and the input dimensions,
+ * but independently of the other output dimensions.
*
- * We first project the set onto the given dimension and then compute
- * the "lexicographic" maximum in each basic set, combining the results
+ * We first project out the other output dimension and then compute
+ * the "lexicographic" maximum in each basic map, combining the results
* using isl_pw_aff_union_max.
*/
-__isl_give isl_pw_aff *isl_set_dim_max(__isl_take isl_set *set, int pos)
+static __isl_give isl_pw_aff *map_dim_opt(__isl_take isl_map *map, int pos,
+ int max)
{
int i;
- isl_map *map;
isl_pw_aff *pwaff;
+ unsigned n_out;
- map = isl_map_from_domain(set);
- map = isl_map_add_dims(map, isl_dim_out, 1);
- map = isl_map_intersect(map,
- equate(isl_map_get_dim(map), isl_dim_in, pos,
- isl_dim_out, 0));
- set = isl_map_range(map);
- if (!set)
+ n_out = isl_map_dim(map, isl_dim_out);
+ map = isl_map_project_out(map, isl_dim_out, pos + 1, n_out - (pos + 1));
+ map = isl_map_project_out(map, isl_dim_out, 0, pos);
+ if (!map)
return NULL;
- if (set->n == 0) {
- isl_dim *dim = isl_set_get_dim(set);
- dim = isl_dim_domain(isl_dim_from_range(dim));
- isl_set_free(set);
+ if (map->n == 0) {
+ isl_space *dim = isl_map_get_space(map);
+ dim = isl_space_domain(isl_space_from_range(dim));
+ isl_map_free(map);
return isl_pw_aff_empty(dim);
}
- pwaff = basic_set_dim_max(set->p[0]);
- for (i = 1; i < set->n; ++i) {
+ pwaff = basic_map_dim_opt(map->p[0], max);
+ for (i = 1; i < map->n; ++i) {
isl_pw_aff *pwaff_i;
- pwaff_i = basic_set_dim_max(set->p[i]);
- pwaff = isl_pw_aff_union_max(pwaff, pwaff_i);
+ pwaff_i = basic_map_dim_opt(map->p[i], max);
+ pwaff = isl_pw_aff_union_opt(pwaff, pwaff_i, max);
}
- isl_set_free(set);
+ isl_map_free(map);
return pwaff;
}
+/* Compute the maximum of the given output dimension as a function of the
+ * parameters and input dimensions, but independently of
+ * the other output dimensions.
+ */
+__isl_give isl_pw_aff *isl_map_dim_max(__isl_take isl_map *map, int pos)
+{
+ return map_dim_opt(map, pos, 1);
+}
+
+/* Compute the minimum or maximum of the given set dimension
+ * as a function of the parameters,
+ * but independently of the other set dimensions.
+ */
+static __isl_give isl_pw_aff *set_dim_opt(__isl_take isl_set *set, int pos,
+ int max)
+{
+ return map_dim_opt(set, pos, max);
+}
+
+/* Compute the maximum of the given set dimension as a function of the
+ * parameters, but independently of the other set dimensions.
+ */
+__isl_give isl_pw_aff *isl_set_dim_max(__isl_take isl_set *set, int pos)
+{
+ return set_dim_opt(set, pos, 1);
+}
+
+/* Compute the minimum of the given set dimension as a function of the
+ * parameters, but independently of the other set dimensions.
+ */
+__isl_give isl_pw_aff *isl_set_dim_min(__isl_take isl_set *set, int pos)
+{
+ return set_dim_opt(set, pos, 0);
+}
+
/* Apply a preimage specified by "mat" on the parameters of "bset".
* bset is assumed to have only parameters and divs.
*/
if (!bset || !mat)
goto error;
- bset->dim = isl_dim_cow(bset->dim);
+ bset->dim = isl_space_cow(bset->dim);
if (!bset->dim)
goto error;
static struct isl_set *set_parameter_preimage(
struct isl_set *set, struct isl_mat *mat)
{
- struct isl_dim *dim = NULL;
+ isl_space *dim = NULL;
unsigned nparam;
if (!set || !mat)
goto error;
- dim = isl_dim_copy(set->dim);
- dim = isl_dim_cow(dim);
+ dim = isl_space_copy(set->dim);
+ dim = isl_space_cow(dim);
if (!dim)
goto error;
dim->nparam = 0;
dim->n_out = nparam;
- isl_set_reset_dim(set, dim);
+ isl_set_reset_space(set, dim);
set = isl_set_preimage(set, mat);
if (!set)
goto error2;
- dim = isl_dim_copy(set->dim);
- dim = isl_dim_cow(dim);
+ dim = isl_space_copy(set->dim);
+ dim = isl_space_cow(dim);
if (!dim)
goto error2;
dim->nparam = dim->n_out;
dim->n_out = 0;
- isl_set_reset_dim(set, dim);
+ isl_set_reset_space(set, dim);
return set;
error:
- isl_dim_free(dim);
+ isl_space_free(dim);
isl_mat_free(mat);
error2:
isl_set_free(set);
if (!bset || !eq)
goto error;
- bset = isl_basic_set_extend_dim(bset, isl_dim_copy(bset->dim), 0,
+ bset = isl_basic_set_extend_space(bset, isl_space_copy(bset->dim), 0,
eq->n_row, 0);
if (!bset)
goto error;
- len = 1 + isl_dim_total(bset->dim) + bset->extra;
+ len = 1 + isl_space_dim(bset->dim, isl_dim_all) + bset->extra;
for (i = 0; i < eq->n_row; ++i) {
k = isl_basic_set_alloc_equality(bset);
if (k < 0)
return NULL;
}
+/* Given a basic set "bset" that only involves parameters and existentially
+ * quantified variables, return the index of the first equality
+ * that only involves parameters. If there is no such equality then
+ * return bset->n_eq.
+ *
+ * This function assumes that isl_basic_set_gauss has been called on "bset".
+ */
+static int first_parameter_equality(__isl_keep isl_basic_set *bset)
+{
+ int i, j;
+ unsigned nparam, n_div;
+
+ if (!bset)
+ return -1;
+
+ nparam = isl_basic_set_dim(bset, isl_dim_param);
+ n_div = isl_basic_set_dim(bset, isl_dim_div);
+
+ for (i = 0, j = n_div - 1; i < bset->n_eq && j >= 0; --j) {
+ if (!isl_int_is_zero(bset->eq[i][1 + nparam + j]))
+ ++i;
+ }
+
+ return i;
+}
+
+/* Compute an explicit representation for the existentially quantified
+ * variables in "bset" by computing the "minimal value" of the set
+ * variables. Since there are no set variables, the computation of
+ * the minimal value essentially computes an explicit representation
+ * of the non-empty part(s) of "bset".
+ *
+ * The input only involves parameters and existentially quantified variables.
+ * All equalities among parameters have been removed.
+ *
+ * Since the existentially quantified variables in the result are in general
+ * going to be different from those in the input, we first replace
+ * them by the minimal number of variables based on their equalities.
+ * This should simplify the parametric integer programming.
+ */
+static __isl_give isl_set *base_compute_divs(__isl_take isl_basic_set *bset)
+{
+ isl_morph *morph1, *morph2;
+ isl_set *set;
+ unsigned n;
+
+ if (!bset)
+ return NULL;
+ if (bset->n_eq == 0)
+ return isl_basic_set_lexmin(bset);
+
+ morph1 = isl_basic_set_parameter_compression(bset);
+ bset = isl_morph_basic_set(isl_morph_copy(morph1), bset);
+ bset = isl_basic_set_lift(bset);
+ morph2 = isl_basic_set_variable_compression(bset, isl_dim_set);
+ bset = isl_morph_basic_set(morph2, bset);
+ n = isl_basic_set_dim(bset, isl_dim_set);
+ bset = isl_basic_set_project_out(bset, isl_dim_set, 0, n);
+
+ set = isl_basic_set_lexmin(bset);
+
+ set = isl_morph_set(isl_morph_inverse(morph1), set);
+
+ return set;
+}
+
/* Project the given basic set onto its parameter domain, possibly introducing
* new, explicit, existential variables in the constraints.
* The input has parameters and (possibly implicit) existential variables.
* among the parameters by performing a variable compression on
* the parameters. Afterward, an inverse transformation is performed
* and the equalities among the parameters are inserted back in.
+ *
+ * The variable compression on the parameters may uncover additional
+ * equalities that were only implicit before. We therefore check
+ * if there are any new parameter equalities in the result and
+ * if so recurse. The removal of parameter equalities is required
+ * for the parameter compression performed by base_compute_divs.
*/
static struct isl_set *parameter_compute_divs(struct isl_basic_set *bset)
{
- int i, j;
+ int i;
struct isl_mat *eq;
struct isl_mat *T, *T2;
struct isl_set *set;
- unsigned nparam, n_div;
+ unsigned nparam;
bset = isl_basic_set_cow(bset);
if (!bset)
return NULL;
if (bset->n_eq == 0)
- return isl_basic_set_lexmin(bset);
+ return base_compute_divs(bset);
+
+ bset = isl_basic_set_gauss(bset, NULL);
+ if (!bset)
+ return NULL;
+ if (isl_basic_set_plain_is_empty(bset))
+ return isl_set_from_basic_set(bset);
- isl_basic_set_gauss(bset, NULL);
+ i = first_parameter_equality(bset);
+ if (i == bset->n_eq)
+ return base_compute_divs(bset);
nparam = isl_basic_set_dim(bset, isl_dim_param);
- n_div = isl_basic_set_dim(bset, isl_dim_div);
-
- for (i = 0, j = n_div - 1; i < bset->n_eq && j >= 0; --j) {
- if (!isl_int_is_zero(bset->eq[i][1 + nparam + j]))
- ++i;
- }
- if (i == bset->n_eq)
- return isl_basic_set_lexmin(bset);
-
eq = isl_mat_sub_alloc6(bset->ctx, bset->eq, i, bset->n_eq - i,
0, 1 + nparam);
eq = isl_mat_cow(eq);
}
bset = basic_set_parameter_preimage(bset, T);
- set = isl_basic_set_lexmin(bset);
+ i = first_parameter_equality(bset);
+ if (!bset)
+ set = NULL;
+ else if (i == bset->n_eq)
+ set = base_compute_divs(bset);
+ else
+ set = parameter_compute_divs(bset);
set = set_parameter_preimage(set, T2);
set = set_append_equalities(set, eq);
return set;
}
-/* Compute an explicit representation for all the existentially
- * quantified variables.
- * The input and output dimensions are first turned into parameters.
- * compute_divs then returns a map with the same parameters and
+/* Insert the divs from "ls" before those of "bmap".
+ *
+ * The number of columns is not changed, which means that the last
+ * dimensions of "bmap" are being reintepreted as the divs from "ls".
+ * The caller is responsible for removing the same number of dimensions
+ * from the space of "bmap".
+ */
+static __isl_give isl_basic_map *insert_divs_from_local_space(
+ __isl_take isl_basic_map *bmap, __isl_keep isl_local_space *ls)
+{
+ int i;
+ int n_div;
+ int old_n_div;
+
+ n_div = isl_local_space_dim(ls, isl_dim_div);
+ if (n_div == 0)
+ return bmap;
+
+ old_n_div = bmap->n_div;
+ bmap = insert_div_rows(bmap, n_div);
+ if (!bmap)
+ return NULL;
+
+ for (i = 0; i < n_div; ++i) {
+ isl_seq_cpy(bmap->div[i], ls->div->row[i], ls->div->n_col);
+ isl_seq_clr(bmap->div[i] + ls->div->n_col, old_n_div);
+ }
+
+ return bmap;
+}
+
+/* Replace the space of "bmap" by the space and divs of "ls".
+ *
+ * If "ls" has any divs, then we simplify the result since we may
+ * have discovered some additional equalities that could simplify
+ * the div expressions.
+ */
+static __isl_give isl_basic_map *basic_replace_space_by_local_space(
+ __isl_take isl_basic_map *bmap, __isl_take isl_local_space *ls)
+{
+ int n_div;
+
+ bmap = isl_basic_map_cow(bmap);
+ if (!bmap || !ls)
+ goto error;
+
+ n_div = isl_local_space_dim(ls, isl_dim_div);
+ bmap = insert_divs_from_local_space(bmap, ls);
+ if (!bmap)
+ goto error;
+
+ isl_space_free(bmap->dim);
+ bmap->dim = isl_local_space_get_space(ls);
+ if (!bmap->dim)
+ goto error;
+
+ isl_local_space_free(ls);
+ if (n_div > 0)
+ bmap = isl_basic_map_simplify(bmap);
+ bmap = isl_basic_map_finalize(bmap);
+ return bmap;
+error:
+ isl_basic_map_free(bmap);
+ isl_local_space_free(ls);
+ return NULL;
+}
+
+/* Replace the space of "map" by the space and divs of "ls".
+ */
+static __isl_give isl_map *replace_space_by_local_space(__isl_take isl_map *map,
+ __isl_take isl_local_space *ls)
+{
+ int i;
+
+ map = isl_map_cow(map);
+ if (!map || !ls)
+ goto error;
+
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = basic_replace_space_by_local_space(map->p[i],
+ isl_local_space_copy(ls));
+ if (!map->p[i])
+ goto error;
+ }
+ isl_space_free(map->dim);
+ map->dim = isl_local_space_get_space(ls);
+ if (!map->dim)
+ goto error;
+
+ isl_local_space_free(ls);
+ return map;
+error:
+ isl_local_space_free(ls);
+ isl_map_free(map);
+ return NULL;
+}
+
+/* Compute an explicit representation for the existentially
+ * quantified variables for which do not know any explicit representation yet.
+ *
+ * We first sort the existentially quantified variables so that the
+ * existentially quantified variables for which we already have an explicit
+ * representation are placed before those for which we do not.
+ * The input dimensions, the output dimensions and the existentially
+ * quantified variables for which we already have an explicit
+ * representation are then turned into parameters.
+ * compute_divs returns a map with the same parameters and
* no input or output dimensions and the dimension specification
- * is reset to that of the input.
+ * is reset to that of the input, including the existentially quantified
+ * variables for which we already had an explicit representation.
*/
static struct isl_map *compute_divs(struct isl_basic_map *bmap)
{
struct isl_basic_set *bset;
struct isl_set *set;
struct isl_map *map;
- struct isl_dim *dim, *orig_dim = NULL;
+ isl_space *dim;
+ isl_local_space *ls;
unsigned nparam;
unsigned n_in;
unsigned n_out;
+ unsigned n_known;
+ int i;
+ bmap = isl_basic_map_sort_divs(bmap);
bmap = isl_basic_map_cow(bmap);
if (!bmap)
return NULL;
+ for (n_known = 0; n_known < bmap->n_div; ++n_known)
+ if (isl_int_is_zero(bmap->div[n_known][0]))
+ break;
+
nparam = isl_basic_map_dim(bmap, isl_dim_param);
n_in = isl_basic_map_dim(bmap, isl_dim_in);
n_out = isl_basic_map_dim(bmap, isl_dim_out);
- dim = isl_dim_set_alloc(bmap->ctx, nparam + n_in + n_out, 0);
+ dim = isl_space_set_alloc(bmap->ctx,
+ nparam + n_in + n_out + n_known, 0);
if (!dim)
goto error;
- orig_dim = bmap->dim;
- bmap->dim = dim;
+ ls = isl_basic_map_get_local_space(bmap);
+ ls = isl_local_space_drop_dims(ls, isl_dim_div,
+ n_known, bmap->n_div - n_known);
+ if (n_known > 0) {
+ for (i = n_known; i < bmap->n_div; ++i)
+ swap_div(bmap, i - n_known, i);
+ bmap->n_div -= n_known;
+ bmap->extra -= n_known;
+ }
+ bmap = isl_basic_map_reset_space(bmap, dim);
bset = (struct isl_basic_set *)bmap;
set = parameter_compute_divs(bset);
map = (struct isl_map *)set;
- map = isl_map_reset_dim(map, orig_dim);
+ map = replace_space_by_local_space(map, ls);
return map;
error:
if (!bmap)
return -1;
- off = isl_dim_total(bmap->dim);
+ off = isl_space_dim(bmap->dim, isl_dim_all);
for (i = 0; i < bmap->n_div; ++i) {
if (isl_int_is_zero(bmap->div[i][0]))
return 0;
return NULL;
set = (struct isl_set *)map;
- set->dim = isl_dim_domain(set->dim);
+ set->dim = isl_space_domain(set->dim);
if (!set->dim)
goto error;
for (i = 0; i < map->n; ++i) {
return NULL;
}
+/* Return the union of "map1" and "map2", where we assume for now that
+ * "map1" and "map2" are disjoint. Note that the basic maps inside
+ * "map1" or "map2" may not be disjoint from each other.
+ * Also note that this function is also called from isl_map_union,
+ * which takes care of handling the situation where "map1" and "map2"
+ * may not be disjoint.
+ *
+ * If one of the inputs is empty, we can simply return the other input.
+ * Similarly, if one of the inputs is universal, then it is equal to the union.
+ */
static __isl_give isl_map *map_union_disjoint(__isl_take isl_map *map1,
__isl_take isl_map *map2)
{
int i;
unsigned flags = 0;
struct isl_map *map = NULL;
+ int is_universe;
if (!map1 || !map2)
goto error;
return map1;
}
- isl_assert(map1->ctx, isl_dim_equal(map1->dim, map2->dim), goto error);
+ is_universe = isl_map_plain_is_universe(map1);
+ if (is_universe < 0)
+ goto error;
+ if (is_universe) {
+ isl_map_free(map2);
+ return map1;
+ }
+
+ is_universe = isl_map_plain_is_universe(map2);
+ if (is_universe < 0)
+ goto error;
+ if (is_universe) {
+ isl_map_free(map1);
+ return map2;
+ }
+
+ isl_assert(map1->ctx, isl_space_is_equal(map1->dim, map2->dim), goto error);
if (ISL_F_ISSET(map1, ISL_MAP_DISJOINT) &&
ISL_F_ISSET(map2, ISL_MAP_DISJOINT))
ISL_FL_SET(flags, ISL_MAP_DISJOINT);
- map = isl_map_alloc_dim(isl_dim_copy(map1->dim),
+ map = isl_map_alloc_space(isl_space_copy(map1->dim),
map1->n + map2->n, flags);
if (!map)
goto error;
isl_map_union((struct isl_map *)set1, (struct isl_map *)set2);
}
-static __isl_give isl_map *map_intersect_range(__isl_take isl_map *map,
- __isl_take isl_set *set)
+/* Apply "fn" to pairs of elements from "map" and "set" and collect
+ * the results.
+ *
+ * "map" and "set" are assumed to be compatible and non-NULL.
+ */
+static __isl_give isl_map *map_intersect_set(__isl_take isl_map *map,
+ __isl_take isl_set *set,
+ __isl_give isl_basic_map *fn(__isl_take isl_basic_map *bmap,
+ __isl_take isl_basic_set *bset))
{
unsigned flags = 0;
struct isl_map *result;
int i, j;
- if (!map || !set)
- goto error;
-
- if (!isl_dim_match(map->dim, isl_dim_param, set->dim, isl_dim_param))
- isl_die(set->ctx, isl_error_invalid,
- "parameters don't match", goto error);
-
- if (isl_dim_size(set->dim, isl_dim_set) != 0 &&
- !isl_map_compatible_range(map, set))
- isl_die(set->ctx, isl_error_invalid,
- "incompatible spaces", goto error);
-
if (isl_set_plain_is_universe(set)) {
isl_set_free(set);
return map;
ISL_F_ISSET(set, ISL_MAP_DISJOINT))
ISL_FL_SET(flags, ISL_MAP_DISJOINT);
- result = isl_map_alloc_dim(isl_dim_copy(map->dim),
+ result = isl_map_alloc_space(isl_space_copy(map->dim),
map->n * set->n, flags);
- if (!result)
- goto error;
- for (i = 0; i < map->n; ++i)
+ for (i = 0; result && i < map->n; ++i)
for (j = 0; j < set->n; ++j) {
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])));
+ fn(isl_basic_map_copy(map->p[i]),
+ isl_basic_set_copy(set->p[j])));
if (!result)
- goto error;
+ break;
}
+
isl_map_free(map);
isl_set_free(set);
return result;
+}
+
+static __isl_give isl_map *map_intersect_range(__isl_take isl_map *map,
+ __isl_take isl_set *set)
+{
+ if (!map || !set)
+ goto error;
+
+ if (!isl_map_compatible_range(map, set))
+ isl_die(set->ctx, isl_error_invalid,
+ "incompatible spaces", goto error);
+
+ return map_intersect_set(map, set, &isl_basic_map_intersect_range);
error:
isl_map_free(map);
isl_set_free(set);
return isl_map_align_params_map_map_and(map, set, &map_intersect_range);
}
-struct isl_map *isl_map_intersect_domain(
- struct isl_map *map, struct isl_set *set)
+static __isl_give isl_map *map_intersect_domain(__isl_take isl_map *map,
+ __isl_take isl_set *set)
+{
+ if (!map || !set)
+ goto error;
+
+ if (!isl_map_compatible_domain(map, set))
+ isl_die(set->ctx, isl_error_invalid,
+ "incompatible spaces", goto error);
+
+ return map_intersect_set(map, set, &isl_basic_map_intersect_domain);
+error:
+ isl_map_free(map);
+ isl_set_free(set);
+ return NULL;
+}
+
+__isl_give isl_map *isl_map_intersect_domain(__isl_take isl_map *map,
+ __isl_take isl_set *set)
{
- return isl_map_reverse(
- isl_map_intersect_range(isl_map_reverse(map), set));
+ return isl_map_align_params_map_map_and(map, set,
+ &map_intersect_domain);
}
static __isl_give isl_map *map_apply_domain(__isl_take isl_map *map1,
static __isl_give isl_map *map_apply_range(__isl_take isl_map *map1,
__isl_take isl_map *map2)
{
- struct isl_dim *dim_result;
+ isl_space *dim_result;
struct isl_map *result;
int i, j;
if (!map1 || !map2)
goto error;
- dim_result = isl_dim_join(isl_dim_copy(map1->dim),
- isl_dim_copy(map2->dim));
+ dim_result = isl_space_join(isl_space_copy(map1->dim),
+ isl_space_copy(map2->dim));
- result = isl_map_alloc_dim(dim_result, map1->n * map2->n, 0);
+ result = isl_map_alloc_space(dim_result, map1->n * map2->n, 0);
if (!result)
goto error;
for (i = 0; i < map1->n; ++i)
*/
struct isl_basic_set *isl_basic_map_deltas(struct isl_basic_map *bmap)
{
- isl_dim *dims, *target_dim;
+ isl_space *dims, *target_dim;
struct isl_basic_set *bset;
unsigned dim;
unsigned nparam;
if (!bmap)
goto error;
- isl_assert(bmap->ctx, isl_dim_tuple_match(bmap->dim, isl_dim_in,
+ isl_assert(bmap->ctx, isl_space_tuple_match(bmap->dim, isl_dim_in,
bmap->dim, isl_dim_out),
goto error);
- target_dim = isl_dim_domain(isl_basic_map_get_dim(bmap));
+ target_dim = isl_space_domain(isl_basic_map_get_space(bmap));
dim = isl_basic_map_n_in(bmap);
nparam = isl_basic_map_n_param(bmap);
bset = isl_basic_set_from_basic_map(bmap);
bset = isl_basic_set_cow(bset);
- 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);
+ dims = isl_basic_set_get_space(bset);
+ dims = isl_space_add_dims(dims, isl_dim_set, dim);
+ bset = isl_basic_set_extend_space(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_basic_map *)bset);
- if (j < 0)
- goto error;
+ if (j < 0) {
+ bset = isl_basic_set_free(bset);
+ break;
+ }
isl_seq_clr(bset->eq[j], 1 + isl_basic_set_total_dim(bset));
isl_int_set_si(bset->eq[j][1+nparam+i], 1);
isl_int_set_si(bset->eq[j][1+nparam+dim+i], 1);
isl_int_set_si(bset->eq[j][1+nparam+2*dim+i], -1);
}
bset = isl_basic_set_project_out(bset, isl_dim_set, dim, 2*dim);
- bset = isl_basic_set_reset_dim(bset, target_dim);
+ bset = isl_basic_set_reset_space(bset, target_dim);
return bset;
error:
isl_basic_map_free(bmap);
/*
* returns range - domain
*/
-struct isl_set *isl_map_deltas(struct isl_map *map)
+__isl_give isl_set *isl_map_deltas(__isl_take isl_map *map)
{
int i;
- isl_dim *dim;
+ isl_space *dim;
struct isl_set *result;
if (!map)
return NULL;
- isl_assert(map->ctx, isl_dim_tuple_match(map->dim, isl_dim_in,
+ isl_assert(map->ctx, isl_space_tuple_match(map->dim, isl_dim_in,
map->dim, isl_dim_out),
goto error);
- dim = isl_map_get_dim(map);
- dim = isl_dim_domain(dim);
- result = isl_set_alloc_dim(dim, map->n, 0);
+ dim = isl_map_get_space(map);
+ dim = isl_space_domain(dim);
+ result = isl_set_alloc_space(dim, map->n, 0);
if (!result)
goto error;
for (i = 0; i < map->n; ++i)
__isl_take isl_basic_map *bmap)
{
int i, k;
- isl_dim *dim;
+ isl_space *dim;
isl_basic_map *domain;
int nparam, n;
unsigned total;
- if (!isl_dim_tuple_match(bmap->dim, isl_dim_in, bmap->dim, isl_dim_out))
+ if (!isl_space_tuple_match(bmap->dim, isl_dim_in, bmap->dim, isl_dim_out))
isl_die(bmap->ctx, isl_error_invalid,
"domain and range don't match", goto error);
nparam = isl_basic_map_dim(bmap, isl_dim_param);
n = isl_basic_map_dim(bmap, isl_dim_in);
- dim = isl_dim_from_range(isl_dim_domain(isl_basic_map_get_dim(bmap)));
+ dim = isl_space_from_range(isl_space_domain(isl_basic_map_get_space(bmap)));
domain = isl_basic_map_universe(dim);
bmap = isl_basic_map_from_domain(isl_basic_map_wrap(bmap));
__isl_give isl_map *isl_map_deltas_map(__isl_take isl_map *map)
{
int i;
- isl_dim *domain_dim;
+ isl_space *domain_dim;
if (!map)
return NULL;
- if (!isl_dim_tuple_match(map->dim, isl_dim_in, map->dim, isl_dim_out))
+ if (!isl_space_tuple_match(map->dim, isl_dim_in, map->dim, isl_dim_out))
isl_die(map->ctx, isl_error_invalid,
"domain and range don't match", goto error);
if (!map)
return NULL;
- domain_dim = isl_dim_from_range(isl_dim_domain(isl_map_get_dim(map)));
- map->dim = isl_dim_from_domain(isl_dim_wrap(map->dim));
- map->dim = isl_dim_join(map->dim, domain_dim);
+ domain_dim = isl_space_from_range(isl_space_domain(isl_map_get_space(map)));
+ map->dim = isl_space_from_domain(isl_space_wrap(map->dim));
+ map->dim = isl_space_join(map->dim, domain_dim);
if (!map->dim)
goto error;
for (i = 0; i < map->n; ++i) {
return NULL;
}
-static struct isl_basic_map *basic_map_identity(struct isl_dim *dims)
+static __isl_give isl_basic_map *basic_map_identity(__isl_take isl_space *dims)
{
struct isl_basic_map *bmap;
unsigned nparam;
nparam = dims->nparam;
dim = dims->n_out;
- bmap = isl_basic_map_alloc_dim(dims, 0, dim, 0);
+ bmap = isl_basic_map_alloc_space(dims, 0, dim, 0);
if (!bmap)
goto error;
return NULL;
}
-__isl_give isl_basic_map *isl_basic_map_identity(__isl_take isl_dim *dim)
+__isl_give isl_basic_map *isl_basic_map_identity(__isl_take isl_space *dim)
{
if (!dim)
return NULL;
"the same", goto error);
return basic_map_identity(dim);
error:
- isl_dim_free(dim);
+ isl_space_free(dim);
return NULL;
}
{
if (!model || !model->dim)
return NULL;
- return isl_basic_map_identity(isl_dim_copy(model->dim));
+ return isl_basic_map_identity(isl_space_copy(model->dim));
}
-__isl_give isl_map *isl_map_identity(__isl_take isl_dim *dim)
+__isl_give isl_map *isl_map_identity(__isl_take isl_space *dim)
{
return isl_map_from_basic_map(isl_basic_map_identity(dim));
}
{
if (!model || !model->dim)
return NULL;
- return isl_map_identity(isl_dim_copy(model->dim));
+ return isl_map_identity(isl_space_copy(model->dim));
}
struct isl_map *isl_map_identity_like_basic_map(struct isl_basic_map *model)
{
if (!model || !model->dim)
return NULL;
- return isl_map_identity(isl_dim_copy(model->dim));
+ return isl_map_identity(isl_space_copy(model->dim));
}
__isl_give isl_map *isl_set_identity(__isl_take isl_set *set)
{
- isl_dim *dim = isl_set_get_dim(set);
+ isl_space *dim = isl_set_get_space(set);
isl_map *id;
- id = isl_map_identity(isl_dim_map_from_set(dim));
+ id = isl_map_identity(isl_space_map_from_set(dim));
return isl_map_intersect_range(id, set);
}
/* Construct a basic set with all set dimensions having only non-negative
* values.
*/
-struct isl_basic_set *isl_basic_set_positive_orthant(struct isl_dim *dims)
+__isl_give isl_basic_set *isl_basic_set_positive_orthant(
+ __isl_take isl_space *space)
{
int i;
unsigned nparam;
unsigned dim;
struct isl_basic_set *bset;
- if (!dims)
+ if (!space)
return NULL;
- nparam = dims->nparam;
- dim = dims->n_out;
- bset = isl_basic_set_alloc_dim(dims, 0, 0, dim);
+ nparam = space->nparam;
+ dim = space->n_out;
+ bset = isl_basic_set_alloc_space(space, 0, 0, dim);
if (!bset)
return NULL;
for (i = 0; i < dim; ++i) {
/* Construct the half-space x_pos >= 0.
*/
-static __isl_give isl_basic_set *nonneg_halfspace(__isl_take isl_dim *dim,
+static __isl_give isl_basic_set *nonneg_halfspace(__isl_take isl_space *dim,
int pos)
{
int k;
isl_basic_set *nonneg;
- nonneg = isl_basic_set_alloc_dim(dim, 0, 0, 1);
+ nonneg = isl_basic_set_alloc_space(dim, 0, 0, 1);
k = isl_basic_set_alloc_inequality(nonneg);
if (k < 0)
goto error;
/* Construct the half-space x_pos <= -1.
*/
-static __isl_give isl_basic_set *neg_halfspace(__isl_take isl_dim *dim, int pos)
+static __isl_give isl_basic_set *neg_halfspace(__isl_take isl_space *dim, int pos)
{
int k;
isl_basic_set *neg;
- neg = isl_basic_set_alloc_dim(dim, 0, 0, 1);
+ neg = isl_basic_set_alloc_space(dim, 0, 0, 1);
k = isl_basic_set_alloc_inequality(neg);
if (k < 0)
goto error;
isl_assert(set->ctx, first + n <= isl_set_dim(set, type), goto error);
for (i = 0; i < n; ++i) {
- nonneg = nonneg_halfspace(isl_set_get_dim(set),
+ nonneg = nonneg_halfspace(isl_set_get_space(set),
pos(set->dim, type) + first + i);
- neg = neg_halfspace(isl_set_get_dim(set),
+ neg = neg_halfspace(isl_set_get_space(set),
pos(set->dim, type) + first + i);
set = isl_set_intersect(set, isl_basic_set_union(nonneg, neg));
return fn(set, signs, user);
signs[first] = 1;
- half = isl_set_from_basic_set(nonneg_halfspace(isl_set_get_dim(set),
+ half = isl_set_from_basic_set(nonneg_halfspace(isl_set_get_space(set),
1 + first));
half = isl_set_intersect(half, isl_set_copy(set));
if (foreach_orthant(half, signs, first + 1, len, fn, user) < 0)
goto error;
signs[first] = -1;
- half = isl_set_from_basic_set(neg_halfspace(isl_set_get_dim(set),
+ half = isl_set_from_basic_set(neg_halfspace(isl_set_get_space(set),
1 + first));
half = isl_set_intersect(half, set);
return foreach_orthant(half, signs, first + 1, len, fn, user);
return is_subset;
}
+int isl_basic_set_is_subset(__isl_keep isl_basic_set *bset1,
+ __isl_keep isl_basic_set *bset2)
+{
+ return isl_basic_map_is_subset(bset1, bset2);
+}
+
int isl_basic_map_is_equal(
struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
{
return isl_map_is_empty((struct isl_map *)set);
}
-int isl_map_has_equal_dim(__isl_keep isl_map *map1, __isl_keep isl_map *map2)
+int isl_map_has_equal_space(__isl_keep isl_map *map1, __isl_keep isl_map *map2)
{
if (!map1 || !map2)
return -1;
- return isl_dim_equal(map1->dim, map2->dim);
+ return isl_space_is_equal(map1->dim, map2->dim);
}
-int isl_set_has_equal_dim(__isl_keep isl_set *set1, __isl_keep isl_set *set2)
+int isl_set_has_equal_space(__isl_keep isl_set *set1, __isl_keep isl_set *set2)
{
if (!set1 || !set2)
return -1;
- return isl_dim_equal(set1->dim, set2->dim);
+ return isl_space_is_equal(set1->dim, set2->dim);
}
static int map_is_equal(__isl_keep isl_map *map1, __isl_keep isl_map *map2)
int isl_map_is_equal(__isl_keep isl_map *map1, __isl_keep isl_map *map2)
{
- return align_params_map_map_and_test(map1, map2, &map_is_equal);
+ return isl_map_align_params_map_map_and_test(map1, map2, &map_is_equal);
}
int isl_basic_map_is_strict_subset(
if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_EMPTY))
return 1;
+ if (isl_basic_map_is_universe(bmap))
+ return 0;
+
if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL)) {
struct isl_basic_map *copy = isl_basic_map_copy(bmap);
copy = isl_basic_map_remove_redundancies(copy);
- empty = ISL_F_ISSET(copy, ISL_BASIC_MAP_EMPTY);
+ empty = isl_basic_map_plain_is_empty(copy);
isl_basic_map_free(copy);
return empty;
}
{
struct isl_map *map;
if (!bmap1 || !bmap2)
- return NULL;
+ goto error;
- isl_assert(bmap1->ctx, isl_dim_equal(bmap1->dim, bmap2->dim), goto error);
+ isl_assert(bmap1->ctx, isl_space_is_equal(bmap1->dim, bmap2->dim), goto error);
- map = isl_map_alloc_dim(isl_dim_copy(bmap1->dim), 2, 0);
+ map = isl_map_alloc_space(isl_space_copy(bmap1->dim), 2, 0);
if (!map)
goto error;
map = isl_map_add_basic_map(map, bmap1);
if (!bmap)
return NULL;
- off = isl_dim_total(bmap->dim);
+ off = isl_space_dim(bmap->dim, isl_dim_all);
for (i = 0; i < bmap->n_div; ++i) {
int pos;
isl_die(isl_mat_get_ctx(div), isl_error_invalid,
"not an expansion", goto error);
- bset = isl_basic_map_extend_dim(bset, isl_dim_copy(bset->dim),
- div->n_row - bset->n_div, 0,
- 2 * (div->n_row - bset->n_div));
-
n_div = bset->n_div;
+ bset = isl_basic_map_extend_space(bset, isl_space_copy(bset->dim),
+ div->n_row - n_div, 0,
+ 2 * (div->n_row - n_div));
+
for (i = n_div; i < div->n_row; ++i)
if (isl_basic_set_alloc_div(bset) < 0)
goto error;
{
int i;
- unsigned total = isl_dim_total(src->dim);
+ unsigned total = isl_space_dim(src->dim, isl_dim_all);
isl_assert(dst->ctx, div <= dst->n_div, return -1);
for (i = div; i < dst->n_div; ++i)
struct isl_basic_map *dst, struct isl_basic_map *src)
{
int i;
- unsigned total = isl_dim_total(src->dim);
+ unsigned total;
if (!dst || !src)
goto error;
src = isl_basic_map_order_divs(src);
dst = isl_basic_map_cow(dst);
- dst = isl_basic_map_extend_dim(dst, isl_dim_copy(dst->dim),
+ dst = isl_basic_map_extend_space(dst, isl_space_copy(dst->dim),
src->n_div, 0, 2 * src->n_div);
if (!dst)
return NULL;
+ total = isl_space_dim(src->dim, isl_dim_all);
for (i = 0; i < src->n_div; ++i) {
int j = find_div(dst, src, i);
if (j < 0) {
if (!map)
return NULL;
- for (i = map->n-1; i >= 0; --i) {
- if (!ISL_F_ISSET(map->p[i], ISL_BASIC_MAP_EMPTY))
- continue;
- isl_basic_map_free(map->p[i]);
- if (i != map->n-1) {
- ISL_F_CLR(map, ISL_MAP_NORMALIZED);
- map->p[i] = map->p[map->n-1];
- }
- map->n--;
- }
+ for (i = map->n - 1; i >= 0; --i)
+ remove_if_empty(map, i);
return map;
}
__isl_keep isl_basic_set *bset1, __isl_keep isl_basic_set *bset2,
int pos, isl_int *opt)
{
- struct isl_dim *dims;
+ isl_space *dims;
struct isl_basic_map *bmap1 = NULL;
struct isl_basic_map *bmap2 = NULL;
struct isl_ctx *ctx;
nparam = isl_basic_set_n_param(bset1);
dim1 = isl_basic_set_n_dim(bset1);
dim2 = isl_basic_set_n_dim(bset2);
- dims = isl_dim_alloc(bset1->ctx, nparam, pos, dim1 - pos);
+ dims = isl_space_alloc(bset1->ctx, nparam, pos, dim1 - pos);
bmap1 = isl_basic_map_from_basic_set(isl_basic_set_copy(bset1), dims);
- dims = isl_dim_alloc(bset2->ctx, nparam, pos, dim2 - pos);
+ dims = isl_space_alloc(bset2->ctx, nparam, pos, dim2 - pos);
bmap2 = isl_basic_map_from_basic_set(isl_basic_set_copy(bset2), dims);
if (!bmap1 || !bmap2)
goto error;
total = isl_basic_map_total_dim(bmap1);
ctx = bmap1->ctx;
obj = isl_vec_alloc(ctx, 1 + total);
+ if (!obj)
+ goto error2;
isl_seq_clr(obj->block.data, 1 + total);
isl_int_set_si(obj->block.data[1+nparam+pos], 1);
isl_int_set_si(obj->block.data[1+nparam+pos+(dim1-pos)], -1);
- if (!obj)
- goto error;
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);
+error2:
+ isl_basic_map_free(bmap1);
return isl_lp_error;
}
map_offset(map, type) - 1 + pos, val);
}
+int isl_set_plain_is_fixed(__isl_keep isl_set *set,
+ enum isl_dim_type type, unsigned pos, isl_int *val)
+{
+ return isl_map_plain_is_fixed(set, type, pos, val);
+}
+
int isl_map_fast_is_fixed(__isl_keep isl_map *map,
enum isl_dim_type type, unsigned pos, isl_int *val)
{
int l1, l2;
unsigned size = isl_min(c1->size, c2->size);
- l1 = isl_seq_last_non_zero(c1->c, size);
- l2 = isl_seq_last_non_zero(c2->c, size);
+ l1 = isl_seq_last_non_zero(c1->c + 1, size);
+ l2 = isl_seq_last_non_zero(c2->c + 1, size);
if (l1 != l2)
return l1 - l2;
- return isl_seq_cmp(c1->c, c2->c, size);
+ return isl_seq_cmp(c1->c + 1, c2->c + 1, size);
}
static struct isl_basic_map *isl_basic_map_sort_constraints(
return bmap;
bmap = isl_basic_map_remove_redundancies(bmap);
bmap = isl_basic_map_sort_constraints(bmap);
- ISL_F_SET(bmap, ISL_BASIC_MAP_NORMALIZED);
+ if (bmap)
+ ISL_F_SET(bmap, ISL_BASIC_MAP_NORMALIZED);
return bmap;
}
return 0;
}
+int isl_basic_set_plain_cmp(const __isl_keep isl_basic_set *bset1,
+ const __isl_keep isl_basic_set *bset2)
+{
+ return isl_basic_map_plain_cmp(bset1, bset2);
+}
+
+int isl_set_plain_cmp(__isl_keep isl_set *set1, __isl_keep isl_set *set2)
+{
+ int i, cmp;
+
+ if (set1 == set2)
+ return 0;
+ if (set1->n != set2->n)
+ return set1->n - set2->n;
+
+ for (i = 0; i < set1->n; ++i) {
+ cmp = isl_basic_set_plain_cmp(set1->p[i], set2->p[i]);
+ if (cmp)
+ return cmp;
+ }
+
+ return 0;
+}
+
int isl_basic_map_plain_is_equal(__isl_keep isl_basic_map *bmap1,
__isl_keep isl_basic_map *bmap2)
{
if (map1 == map2)
return 1;
- if (!isl_dim_equal(map1->dim, map2->dim))
+ if (!isl_space_is_equal(map1->dim, map2->dim))
return 0;
map1 = isl_map_copy(map1);
struct isl_basic_map *isl_basic_map_product(
struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
{
- struct isl_dim *dim_result = NULL;
+ isl_space *dim_result = NULL;
struct isl_basic_map *bmap;
unsigned in1, in2, out1, out2, nparam, total, pos;
struct isl_dim_map *dim_map1, *dim_map2;
if (!bmap1 || !bmap2)
goto error;
- isl_assert(bmap1->ctx, isl_dim_match(bmap1->dim, isl_dim_param,
+ isl_assert(bmap1->ctx, isl_space_match(bmap1->dim, isl_dim_param,
bmap2->dim, isl_dim_param), goto error);
- dim_result = isl_dim_product(isl_dim_copy(bmap1->dim),
- isl_dim_copy(bmap2->dim));
+ dim_result = isl_space_product(isl_space_copy(bmap1->dim),
+ isl_space_copy(bmap2->dim));
in1 = isl_basic_map_n_in(bmap1);
in2 = isl_basic_map_n_in(bmap2);
isl_dim_map_div(dim_map1, bmap1, pos += out2);
isl_dim_map_div(dim_map2, bmap2, pos += bmap1->n_div);
- bmap = isl_basic_map_alloc_dim(dim_result,
+ bmap = isl_basic_map_alloc_space(dim_result,
bmap1->n_div + bmap2->n_div,
bmap1->n_eq + bmap2->n_eq,
bmap1->n_ineq + bmap2->n_ineq);
__isl_give isl_basic_set *isl_basic_set_flat_product(
__isl_take isl_basic_set *bset1, __isl_take isl_basic_set *bset2)
{
- return isl_basic_map_flat_product(bset1, bset2);
+ return isl_basic_map_flat_range_product(bset1, bset2);
+}
+
+__isl_give isl_basic_map *isl_basic_map_domain_product(
+ __isl_take isl_basic_map *bmap1, __isl_take isl_basic_map *bmap2)
+{
+ isl_space *space_result = NULL;
+ isl_basic_map *bmap;
+ unsigned in1, in2, out, nparam, total, pos;
+ struct isl_dim_map *dim_map1, *dim_map2;
+
+ if (!bmap1 || !bmap2)
+ goto error;
+
+ space_result = isl_space_domain_product(isl_space_copy(bmap1->dim),
+ isl_space_copy(bmap2->dim));
+
+ in1 = isl_basic_map_dim(bmap1, isl_dim_in);
+ in2 = isl_basic_map_dim(bmap2, isl_dim_in);
+ out = isl_basic_map_dim(bmap1, isl_dim_out);
+ nparam = isl_basic_map_dim(bmap1, isl_dim_param);
+
+ total = nparam + in1 + in2 + out + bmap1->n_div + bmap2->n_div;
+ dim_map1 = isl_dim_map_alloc(bmap1->ctx, total);
+ dim_map2 = isl_dim_map_alloc(bmap1->ctx, total);
+ isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_param, pos = 0);
+ isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_param, pos = 0);
+ isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_in, pos += nparam);
+ isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_in, pos += in1);
+ isl_dim_map_dim(dim_map1, bmap1->dim, isl_dim_out, pos += in2);
+ isl_dim_map_dim(dim_map2, bmap2->dim, isl_dim_out, pos);
+ isl_dim_map_div(dim_map1, bmap1, pos += out);
+ isl_dim_map_div(dim_map2, bmap2, pos += bmap1->n_div);
+
+ bmap = isl_basic_map_alloc_space(space_result,
+ bmap1->n_div + bmap2->n_div,
+ bmap1->n_eq + bmap2->n_eq,
+ bmap1->n_ineq + bmap2->n_ineq);
+ bmap = isl_basic_map_add_constraints_dim_map(bmap, bmap1, dim_map1);
+ bmap = isl_basic_map_add_constraints_dim_map(bmap, bmap2, dim_map2);
+ bmap = isl_basic_map_simplify(bmap);
+ return isl_basic_map_finalize(bmap);
+error:
+ isl_basic_map_free(bmap1);
+ isl_basic_map_free(bmap2);
+ return NULL;
}
__isl_give isl_basic_map *isl_basic_map_range_product(
__isl_take isl_basic_map *bmap1, __isl_take isl_basic_map *bmap2)
{
- isl_dim *dim_result = NULL;
+ isl_space *dim_result = NULL;
isl_basic_map *bmap;
unsigned in, out1, out2, nparam, total, pos;
struct isl_dim_map *dim_map1, *dim_map2;
if (!bmap1 || !bmap2)
goto error;
- dim_result = isl_dim_range_product(isl_dim_copy(bmap1->dim),
- isl_dim_copy(bmap2->dim));
+ if (!isl_space_match(bmap1->dim, isl_dim_param,
+ bmap2->dim, isl_dim_param))
+ isl_die(isl_basic_map_get_ctx(bmap1), isl_error_invalid,
+ "parameters don't match", goto error);
+
+ dim_result = isl_space_range_product(isl_space_copy(bmap1->dim),
+ isl_space_copy(bmap2->dim));
in = isl_basic_map_dim(bmap1, isl_dim_in);
out1 = isl_basic_map_n_out(bmap1);
isl_dim_map_div(dim_map1, bmap1, pos += out2);
isl_dim_map_div(dim_map2, bmap2, pos += bmap1->n_div);
- bmap = isl_basic_map_alloc_dim(dim_result,
+ bmap = isl_basic_map_alloc_space(dim_result,
bmap1->n_div + bmap2->n_div,
bmap1->n_eq + bmap2->n_eq,
bmap1->n_ineq + bmap2->n_ineq);
static __isl_give isl_map *map_product(__isl_take isl_map *map1,
__isl_take isl_map *map2,
- __isl_give isl_dim *(*dim_product)(__isl_take isl_dim *left,
- __isl_take isl_dim *right),
+ __isl_give isl_space *(*dim_product)(__isl_take isl_space *left,
+ __isl_take isl_space *right),
__isl_give isl_basic_map *(*basic_map_product)(
__isl_take isl_basic_map *left, __isl_take isl_basic_map *right))
{
if (!map1 || !map2)
goto error;
- isl_assert(map1->ctx, isl_dim_match(map1->dim, isl_dim_param,
+ isl_assert(map1->ctx, isl_space_match(map1->dim, isl_dim_param,
map2->dim, isl_dim_param), goto error);
if (ISL_F_ISSET(map1, ISL_MAP_DISJOINT) &&
ISL_F_ISSET(map2, ISL_MAP_DISJOINT))
ISL_FL_SET(flags, ISL_MAP_DISJOINT);
- result = isl_map_alloc_dim(dim_product(isl_dim_copy(map1->dim),
- isl_dim_copy(map2->dim)),
+ result = isl_map_alloc_space(dim_product(isl_space_copy(map1->dim),
+ isl_space_copy(map2->dim)),
map1->n * map2->n, flags);
if (!result)
goto error;
static __isl_give isl_map *map_product_aligned(__isl_take isl_map *map1,
__isl_take isl_map *map2)
{
- return map_product(map1, map2, &isl_dim_product, &isl_basic_map_product);
+ return map_product(map1, map2, &isl_space_product, &isl_basic_map_product);
}
__isl_give isl_map *isl_map_product(__isl_take isl_map *map1,
*/
struct isl_set *isl_set_product(struct isl_set *set1, struct isl_set *set2)
{
- return (struct isl_set *)isl_map_product((struct isl_map *)set1,
- (struct isl_map *)set2);
+ return isl_map_range_product(set1, set2);
}
__isl_give isl_set *isl_set_flat_product(__isl_take isl_set *set1,
__isl_take isl_set *set2)
{
- return (isl_set *)isl_map_flat_product((isl_map *)set1, (isl_map *)set2);
+ return isl_map_flat_range_product(set1, set2);
+}
+
+/* Given two maps A -> B and C -> D, construct a map [A -> C] -> (B * D)
+ */
+static __isl_give isl_map *map_domain_product_aligned(__isl_take isl_map *map1,
+ __isl_take isl_map *map2)
+{
+ return map_product(map1, map2, &isl_space_domain_product,
+ &isl_basic_map_domain_product);
}
/* Given two maps A -> B and C -> D, construct a map (A * C) -> [B -> D]
static __isl_give isl_map *map_range_product_aligned(__isl_take isl_map *map1,
__isl_take isl_map *map2)
{
- return map_product(map1, map2, &isl_dim_range_product,
+ return map_product(map1, map2, &isl_space_range_product,
&isl_basic_map_range_product);
}
+__isl_give isl_map *isl_map_domain_product(__isl_take isl_map *map1,
+ __isl_take isl_map *map2)
+{
+ return isl_map_align_params_map_map_and(map1, map2,
+ &map_domain_product_aligned);
+}
+
__isl_give isl_map *isl_map_range_product(__isl_take isl_map *map1,
__isl_take isl_map *map2)
{
&map_range_product_aligned);
}
+/* Given two maps A -> B and C -> D, construct a map (A, C) -> (B * D)
+ */
+__isl_give isl_map *isl_map_flat_domain_product(__isl_take isl_map *map1,
+ __isl_take isl_map *map2)
+{
+ isl_map *prod;
+
+ prod = isl_map_domain_product(map1, map2);
+ prod = isl_map_flatten_domain(prod);
+ return prod;
+}
+
/* Given two maps A -> B and C -> D, construct a map (A * C) -> (B, D)
*/
__isl_give isl_map *isl_map_flat_range_product(__isl_take isl_map *map1,
__isl_give isl_basic_set *isl_basic_set_lift(__isl_take isl_basic_set *bset)
{
- struct isl_dim *dim;
+ isl_space *dim;
if (!bset)
return NULL;
if (!bset)
return NULL;
- dim = isl_basic_set_get_dim(bset);
- dim = isl_dim_lift(dim, bset->n_div);
+ dim = isl_basic_set_get_space(bset);
+ dim = isl_space_lift(dim, bset->n_div);
if (!dim)
goto error;
- isl_dim_free(bset->dim);
+ isl_space_free(bset->dim);
bset->dim = dim;
bset->extra -= bset->n_div;
bset->n_div = 0;
__isl_give isl_set *isl_set_lift(__isl_take isl_set *set)
{
int i;
- struct isl_dim *dim;
+ isl_space *dim;
unsigned n_div;
set = isl_set_align_divs(set);
return NULL;
n_div = set->p[0]->n_div;
- dim = isl_set_get_dim(set);
- dim = isl_dim_lift(dim, n_div);
+ dim = isl_set_get_space(set);
+ dim = isl_space_lift(dim, n_div);
if (!dim)
goto error;
- isl_dim_free(set->dim);
+ isl_space_free(set->dim);
set->dim = dim;
for (i = 0; i < set->n; ++i) {
__isl_give isl_map *isl_set_lifting(__isl_take isl_set *set)
{
- struct isl_dim *dim;
+ isl_space *dim;
struct isl_basic_map *bmap;
unsigned n_set;
unsigned n_div;
if (!set)
return NULL;
- dim = isl_set_get_dim(set);
+ dim = isl_set_get_space(set);
if (set->n == 0 || set->p[0]->n_div == 0) {
isl_set_free(set);
- return isl_map_identity(isl_dim_map_from_set(dim));
+ return isl_map_identity(isl_space_map_from_set(dim));
}
n_div = set->p[0]->n_div;
- dim = isl_dim_map_from_set(dim);
- n_param = isl_dim_size(dim, isl_dim_param);
- n_set = isl_dim_size(dim, isl_dim_in);
- dim = isl_dim_extend(dim, n_param, n_set, n_set + n_div);
- bmap = isl_basic_map_alloc_dim(dim, 0, n_set, 2 * n_div);
+ dim = isl_space_map_from_set(dim);
+ n_param = isl_space_dim(dim, isl_dim_param);
+ n_set = isl_space_dim(dim, isl_dim_in);
+ dim = isl_space_extend(dim, n_param, n_set, n_set + n_div);
+ bmap = isl_basic_map_alloc_space(dim, 0, n_set, 2 * n_div);
for (i = 0; i < n_set; ++i)
bmap = var_equal(bmap, i);
return size;
}
-int isl_basic_map_dim_is_bounded(__isl_keep isl_basic_map *bmap,
- enum isl_dim_type type, unsigned pos)
+/* Check if there is any lower bound (if lower == 0) and/or upper
+ * bound (if upper == 0) on the specified dim.
+ */
+static int basic_map_dim_is_bounded(__isl_keep isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos, int lower, int upper)
{
int i;
- int lower, upper;
if (!bmap)
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]))
+ for (i = 0; i < bmap->n_div; ++i) {
+ if (isl_int_is_zero(bmap->div[i][0]))
+ continue;
+ if (!isl_int_is_zero(bmap->div[i][1 + pos]))
+ return 1;
+ }
+
+ 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)
return lower && upper;
}
+int isl_basic_map_dim_is_bounded(__isl_keep isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos)
+{
+ return basic_map_dim_is_bounded(bmap, type, pos, 0, 0);
+}
+
+int isl_basic_map_dim_has_lower_bound(__isl_keep isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos)
+{
+ return basic_map_dim_is_bounded(bmap, type, pos, 0, 1);
+}
+
+int isl_basic_map_dim_has_upper_bound(__isl_keep isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos)
+{
+ return basic_map_dim_is_bounded(bmap, type, pos, 1, 0);
+}
+
int isl_map_dim_is_bounded(__isl_keep isl_map *map,
enum isl_dim_type type, unsigned pos)
{
return isl_map_dim_is_bounded((isl_map *)set, type, pos);
}
+/* Does "map" have a bound (according to "fn") for any of its basic maps?
+ */
+static int has_any_bound(__isl_keep isl_map *map,
+ enum isl_dim_type type, unsigned pos,
+ int (*fn)(__isl_keep isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos))
+{
+ int i;
+
+ if (!map)
+ return -1;
+
+ for (i = 0; i < map->n; ++i) {
+ int bounded;
+ bounded = fn(map->p[i], type, pos);
+ if (bounded < 0 || bounded)
+ return bounded;
+ }
+
+ return 0;
+}
+
+/* Return 1 if the specified dim is involved in any lower bound.
+ */
+int isl_set_dim_has_any_lower_bound(__isl_keep isl_set *set,
+ enum isl_dim_type type, unsigned pos)
+{
+ return has_any_bound(set, type, pos,
+ &isl_basic_map_dim_has_lower_bound);
+}
+
+/* Return 1 if the specified dim is involved in any upper bound.
+ */
+int isl_set_dim_has_any_upper_bound(__isl_keep isl_set *set,
+ enum isl_dim_type type, unsigned pos)
+{
+ return has_any_bound(set, type, pos,
+ &isl_basic_map_dim_has_upper_bound);
+}
+
+/* Does "map" have a bound (according to "fn") for all of its basic maps?
+ */
+static int has_bound(__isl_keep isl_map *map,
+ enum isl_dim_type type, unsigned pos,
+ int (*fn)(__isl_keep isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos))
+{
+ int i;
+
+ if (!map)
+ return -1;
+
+ for (i = 0; i < map->n; ++i) {
+ int bounded;
+ bounded = fn(map->p[i], type, pos);
+ if (bounded < 0 || !bounded)
+ return bounded;
+ }
+
+ return 1;
+}
+
+/* Return 1 if the specified dim has a lower bound (in each of its basic sets).
+ */
+int isl_set_dim_has_lower_bound(__isl_keep isl_set *set,
+ enum isl_dim_type type, unsigned pos)
+{
+ return has_bound(set, type, pos, &isl_basic_map_dim_has_lower_bound);
+}
+
+/* Return 1 if the specified dim has an upper bound (in each of its basic sets).
+ */
+int isl_set_dim_has_upper_bound(__isl_keep isl_set *set,
+ enum isl_dim_type type, unsigned pos)
+{
+ return has_bound(set, type, pos, &isl_basic_map_dim_has_upper_bound);
+}
+
/* 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".
return -1;
bound = isl_vec_alloc(bset->ctx, 1 + isl_basic_set_total_dim(bset));
- tab = isl_tab_from_basic_set(bset);
+ tab = isl_tab_from_basic_set(bset, 0);
if (!bound || !tab)
goto error;
return 1;
}
+/* Check if the given basic 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_basic_map_is_single_valued(__isl_keep isl_basic_map *bmap)
+{
+ isl_space *space;
+ isl_basic_map *test;
+ isl_basic_map *id;
+ int sv;
+
+ sv = isl_basic_map_plain_is_single_valued(bmap);
+ if (sv < 0 || sv)
+ return sv;
+
+ test = isl_basic_map_reverse(isl_basic_map_copy(bmap));
+ test = isl_basic_map_apply_range(test, isl_basic_map_copy(bmap));
+
+ space = isl_basic_map_get_space(bmap);
+ space = isl_space_map_from_set(isl_space_range(space));
+ id = isl_basic_map_identity(space);
+
+ sv = isl_basic_map_is_subset(test, id);
+
+ isl_basic_map_free(test);
+ isl_basic_map_free(id);
+
+ return sv;
+}
+
/* Check if the given map is obviously single-valued.
*/
int isl_map_plain_is_single_valued(__isl_keep isl_map *map)
*/
int isl_map_is_single_valued(__isl_keep isl_map *map)
{
- isl_dim *dim;
+ isl_space *dim;
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));
- dim = isl_dim_map_from_set(isl_dim_range(isl_map_get_dim(map)));
+ dim = isl_space_map_from_set(isl_space_range(isl_map_get_space(map)));
id = isl_map_identity(dim);
sv = isl_map_is_subset(test, id);
return 0;
nvar = isl_basic_set_dim(bset, isl_dim_set);
- ovar = isl_dim_offset(bset->dim, isl_dim_set);
+ ovar = isl_space_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 (!bset)
return -1;
- return isl_dim_is_wrapping(bset->dim);
+ return isl_space_is_wrapping(bset->dim);
}
int isl_set_is_wrapping(__isl_keep isl_set *set)
if (!set)
return -1;
- return isl_dim_is_wrapping(set->dim);
+ return isl_space_is_wrapping(set->dim);
}
__isl_give isl_basic_set *isl_basic_map_wrap(__isl_take isl_basic_map *bmap)
if (!bmap)
return NULL;
- bmap->dim = isl_dim_wrap(bmap->dim);
+ bmap->dim = isl_space_wrap(bmap->dim);
if (!bmap->dim)
goto error;
if (!map->p[i])
goto error;
}
- map->dim = isl_dim_wrap(map->dim);
+ map->dim = isl_space_wrap(map->dim);
if (!map->dim)
goto error;
if (!bset)
return NULL;
- bset->dim = isl_dim_unwrap(bset->dim);
+ bset->dim = isl_space_unwrap(bset->dim);
if (!bset->dim)
goto error;
goto error;
}
- set->dim = isl_dim_unwrap(set->dim);
+ set->dim = isl_space_unwrap(set->dim);
if (!set->dim)
goto error;
if (!bmap)
return NULL;
- if (!isl_dim_is_named_or_nested(bmap->dim, type))
+ if (!isl_space_is_named_or_nested(bmap->dim, type))
return bmap;
bmap = isl_basic_map_cow(bmap);
if (!bmap)
return NULL;
- bmap->dim = isl_dim_reset(bmap->dim, type);
+ bmap->dim = isl_space_reset(bmap->dim, type);
if (!bmap->dim)
goto error;
if (!map)
return NULL;
- if (!isl_dim_is_named_or_nested(map->dim, type))
+ if (!isl_space_is_named_or_nested(map->dim, type))
return map;
map = isl_map_cow(map);
if (!map->p[i])
goto error;
}
- map->dim = isl_dim_reset(map->dim, type);
+ map->dim = isl_space_reset(map->dim, type);
if (!map->dim)
goto error;
if (!bmap)
return NULL;
- bmap->dim = isl_dim_flatten(bmap->dim);
+ bmap->dim = isl_space_flatten(bmap->dim);
if (!bmap->dim)
goto error;
return (isl_basic_set *)isl_basic_map_flatten((isl_basic_map *)bset);
}
+__isl_give isl_basic_map *isl_basic_map_flatten_domain(
+ __isl_take isl_basic_map *bmap)
+{
+ if (!bmap)
+ return NULL;
+
+ if (!bmap->dim->nested[0])
+ return bmap;
+
+ bmap = isl_basic_map_cow(bmap);
+ if (!bmap)
+ return NULL;
+
+ bmap->dim = isl_space_flatten_domain(bmap->dim);
+ if (!bmap->dim)
+ goto error;
+
+ bmap = isl_basic_map_finalize(bmap);
+
+ return bmap;
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
__isl_give isl_basic_map *isl_basic_map_flatten_range(
__isl_take isl_basic_map *bmap)
{
if (!bmap)
return NULL;
- bmap->dim = isl_dim_flatten_range(bmap->dim);
+ bmap->dim = isl_space_flatten_range(bmap->dim);
if (!bmap->dim)
goto error;
if (!map->p[i])
goto error;
}
- map->dim = isl_dim_flatten(map->dim);
+ map->dim = isl_space_flatten(map->dim);
if (!map->dim)
goto error;
__isl_give isl_map *isl_set_flatten_map(__isl_take isl_set *set)
{
- isl_dim *dim, *flat_dim;
+ isl_space *dim, *flat_dim;
isl_map *map;
- dim = isl_set_get_dim(set);
- flat_dim = isl_dim_flatten(isl_dim_copy(dim));
- map = isl_map_identity(isl_dim_join(isl_dim_reverse(dim), flat_dim));
+ dim = isl_set_get_space(set);
+ flat_dim = isl_space_flatten(isl_space_copy(dim));
+ map = isl_map_identity(isl_space_join(isl_space_reverse(dim), flat_dim));
map = isl_map_intersect_domain(map, set);
return map;
}
+__isl_give isl_map *isl_map_flatten_domain(__isl_take isl_map *map)
+{
+ int i;
+
+ if (!map)
+ return NULL;
+
+ if (!map->dim->nested[0])
+ return map;
+
+ map = isl_map_cow(map);
+ if (!map)
+ return NULL;
+
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_flatten_domain(map->p[i]);
+ if (!map->p[i])
+ goto error;
+ }
+ map->dim = isl_space_flatten_domain(map->dim);
+ if (!map->dim)
+ goto error;
+
+ return map;
+error:
+ isl_map_free(map);
+ return NULL;
+}
+
__isl_give isl_map *isl_map_flatten_range(__isl_take isl_map *map)
{
int i;
if (!map->p[i])
goto error;
}
- map->dim = isl_dim_flatten_range(map->dim);
+ map->dim = isl_space_flatten_range(map->dim);
if (!map->dim)
goto error;
* and set the dimension specification to "dim".
*/
__isl_give isl_basic_map *isl_basic_map_realign(__isl_take isl_basic_map *bmap,
- __isl_take isl_dim *dim, __isl_take struct isl_dim_map *dim_map)
+ __isl_take isl_space *dim, __isl_take struct isl_dim_map *dim_map)
{
isl_basic_map *res;
+ unsigned flags;
bmap = isl_basic_map_cow(bmap);
if (!bmap || !dim || !dim_map)
goto error;
- res = isl_basic_map_alloc_dim(dim,
+ flags = bmap->flags;
+ ISL_FL_CLR(flags, ISL_BASIC_MAP_FINAL);
+ ISL_FL_CLR(flags, ISL_BASIC_MAP_NORMALIZED);
+ ISL_FL_CLR(flags, ISL_BASIC_MAP_NORMALIZED_DIVS);
+ res = isl_basic_map_alloc_space(dim,
bmap->n_div, bmap->n_eq, bmap->n_ineq);
res = isl_basic_map_add_constraints_dim_map(res, bmap, dim_map);
+ if (res)
+ res->flags = flags;
res = isl_basic_map_finalize(res);
return res;
error:
free(dim_map);
isl_basic_map_free(bmap);
- isl_dim_free(dim);
+ isl_space_free(dim);
return NULL;
}
dim_map_i = isl_dim_map_extend(dim_map, map->p[i]);
map->p[i] = isl_basic_map_realign(map->p[i],
- isl_dim_copy(r->dim), dim_map_i);
+ isl_space_copy(r->dim), dim_map_i);
if (!map->p[i])
goto error;
}
- map = isl_map_reset_dim(map, isl_dim_copy(r->dim));
+ map = isl_map_reset_space(map, isl_space_copy(r->dim));
isl_reordering_free(r);
free(dim_map);
}
__isl_give isl_map *isl_map_align_params(__isl_take isl_map *map,
- __isl_take isl_dim *model)
+ __isl_take isl_space *model)
{
isl_ctx *ctx;
if (!map || !model)
goto error;
- ctx = isl_dim_get_ctx(model);
- if (!isl_dim_has_named_params(model))
+ ctx = isl_space_get_ctx(model);
+ if (!isl_space_has_named_params(model))
isl_die(ctx, isl_error_invalid,
"model has unnamed parameters", goto error);
- if (!isl_dim_has_named_params(map->dim))
+ if (!isl_space_has_named_params(map->dim))
isl_die(ctx, isl_error_invalid,
"relation has unnamed parameters", goto error);
- if (!isl_dim_match(map->dim, isl_dim_param, model, isl_dim_param)) {
+ if (!isl_space_match(map->dim, isl_dim_param, model, isl_dim_param)) {
isl_reordering *exp;
- model = isl_dim_drop(model, isl_dim_in,
- 0, isl_dim_size(model, isl_dim_in));
- model = isl_dim_drop(model, isl_dim_out,
- 0, isl_dim_size(model, isl_dim_out));
+ model = isl_space_drop_dims(model, isl_dim_in,
+ 0, isl_space_dim(model, isl_dim_in));
+ model = isl_space_drop_dims(model, isl_dim_out,
+ 0, isl_space_dim(model, isl_dim_out));
exp = isl_parameter_alignment_reordering(map->dim, model);
- exp = isl_reordering_extend_dim(exp, isl_map_get_dim(map));
+ exp = isl_reordering_extend_space(exp, isl_map_get_space(map));
map = isl_map_realign(map, exp);
}
- isl_dim_free(model);
+ isl_space_free(model);
return map;
error:
- isl_dim_free(model);
+ isl_space_free(model);
isl_map_free(map);
return NULL;
}
__isl_give isl_set *isl_set_align_params(__isl_take isl_set *set,
- __isl_take isl_dim *model)
+ __isl_take isl_space *model)
{
return isl_map_align_params(set, model);
}
+/* Align the parameters of "bmap" to those of "model", introducing
+ * additional parameters if needed.
+ */
+__isl_give isl_basic_map *isl_basic_map_align_params(
+ __isl_take isl_basic_map *bmap, __isl_take isl_space *model)
+{
+ isl_ctx *ctx;
+
+ if (!bmap || !model)
+ goto error;
+
+ ctx = isl_space_get_ctx(model);
+ if (!isl_space_has_named_params(model))
+ isl_die(ctx, isl_error_invalid,
+ "model has unnamed parameters", goto error);
+ if (!isl_space_has_named_params(bmap->dim))
+ isl_die(ctx, isl_error_invalid,
+ "relation has unnamed parameters", goto error);
+ if (!isl_space_match(bmap->dim, isl_dim_param, model, isl_dim_param)) {
+ isl_reordering *exp;
+ struct isl_dim_map *dim_map;
+
+ model = isl_space_drop_dims(model, isl_dim_in,
+ 0, isl_space_dim(model, isl_dim_in));
+ model = isl_space_drop_dims(model, isl_dim_out,
+ 0, isl_space_dim(model, isl_dim_out));
+ exp = isl_parameter_alignment_reordering(bmap->dim, model);
+ exp = isl_reordering_extend_space(exp,
+ isl_basic_map_get_space(bmap));
+ dim_map = isl_dim_map_from_reordering(exp);
+ bmap = isl_basic_map_realign(bmap,
+ exp ? isl_space_copy(exp->dim) : NULL,
+ isl_dim_map_extend(dim_map, bmap));
+ isl_reordering_free(exp);
+ free(dim_map);
+ }
+
+ isl_space_free(model);
+ return bmap;
+error:
+ isl_space_free(model);
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+/* Align the parameters of "bset" to those of "model", introducing
+ * additional parameters if needed.
+ */
+__isl_give isl_basic_set *isl_basic_set_align_params(
+ __isl_take isl_basic_set *bset, __isl_take isl_space *model)
+{
+ return isl_basic_map_align_params(bset, model);
+}
+
__isl_give isl_mat *isl_basic_map_equalities_matrix(
__isl_keep isl_basic_map *bmap, enum isl_dim_type c1,
enum isl_dim_type c2, enum isl_dim_type c3,
}
__isl_give isl_basic_map *isl_basic_map_from_constraint_matrices(
- __isl_take isl_dim *dim,
+ __isl_take isl_space *dim,
__isl_take isl_mat *eq, __isl_take isl_mat *ineq, enum isl_dim_type c1,
enum isl_dim_type c2, enum isl_dim_type c3,
enum isl_dim_type c4, enum isl_dim_type c5)
"equalities and inequalities matrices should have "
"same number of columns", goto error);
- total = 1 + isl_dim_total(dim);
+ total = 1 + isl_space_dim(dim, isl_dim_all);
if (eq->n_col < total)
isl_die(dim->ctx, isl_error_invalid,
extra = eq->n_col - total;
- bmap = isl_basic_map_alloc_dim(isl_dim_copy(dim), extra,
+ bmap = isl_basic_map_alloc_space(isl_space_copy(dim), extra,
eq->n_row, ineq->n_row);
if (!bmap)
goto error;
}
}
- isl_dim_free(dim);
+ isl_space_free(dim);
isl_mat_free(eq);
isl_mat_free(ineq);
- return bmap;
+ bmap = isl_basic_map_simplify(bmap);
+ return isl_basic_map_finalize(bmap);
error:
- isl_dim_free(dim);
+ isl_space_free(dim);
isl_mat_free(eq);
isl_mat_free(ineq);
return NULL;
}
__isl_give isl_basic_set *isl_basic_set_from_constraint_matrices(
- __isl_take isl_dim *dim,
+ __isl_take isl_space *dim,
__isl_take isl_mat *eq, __isl_take isl_mat *ineq, enum isl_dim_type c1,
enum isl_dim_type c2, enum isl_dim_type c3, enum isl_dim_type c4)
{
if (!bmap)
return -1;
- return isl_dim_can_zip(bmap->dim);
+ return isl_space_can_zip(bmap->dim);
}
int isl_map_can_zip(__isl_keep isl_map *map)
if (!map)
return -1;
- return isl_dim_can_zip(map->dim);
+ return isl_space_can_zip(map->dim);
}
/* Given a basic map (A -> B) -> (C -> D), return the corresponding basic map
isl_die(bmap->ctx, isl_error_invalid,
"basic map cannot be zipped", goto error);
pos = isl_basic_map_offset(bmap, isl_dim_in) +
- isl_dim_size(bmap->dim->nested[0], isl_dim_in);
- n1 = isl_dim_size(bmap->dim->nested[0], isl_dim_out);
- n2 = isl_dim_size(bmap->dim->nested[1], isl_dim_in);
+ isl_space_dim(bmap->dim->nested[0], isl_dim_in);
+ n1 = isl_space_dim(bmap->dim->nested[0], isl_dim_out);
+ n2 = isl_space_dim(bmap->dim->nested[1], isl_dim_in);
+ bmap = isl_basic_map_cow(bmap);
bmap = isl_basic_map_swap_vars(bmap, pos, n1, n2);
if (!bmap)
return NULL;
- bmap->dim = isl_dim_zip(bmap->dim);
+ bmap->dim = isl_space_zip(bmap->dim);
if (!bmap->dim)
goto error;
return bmap;
goto error;
}
- map->dim = isl_dim_zip(map->dim);
+ map->dim = isl_space_zip(map->dim);
if (!map->dim)
goto error;
return NULL;
}
-/* Construct a basic map mapping the domain of the affine expression
- * to a one-dimensional range prescribed by the affine expression.
+/* Can we apply isl_basic_map_curry to "bmap"?
+ * That is, does it have a nested relation in its domain?
*/
-__isl_give isl_basic_map *isl_basic_map_from_aff(__isl_take isl_aff *aff)
+int isl_basic_map_can_curry(__isl_keep isl_basic_map *bmap)
{
- int k;
- int pos;
- isl_local_space *ls;
- isl_basic_map *bmap;
+ if (!bmap)
+ return -1;
- if (!aff)
- return NULL;
+ return isl_space_can_curry(bmap->dim);
+}
- ls = isl_aff_get_local_space(aff);
- ls = isl_local_space_from_domain(ls);
- ls = isl_local_space_add_dims(ls, isl_dim_out, 1);
- bmap = isl_basic_map_from_local_space(ls);
- bmap = isl_basic_map_extend_constraints(bmap, 1, 0);
- k = isl_basic_map_alloc_equality(bmap);
- if (k < 0)
- goto error;
+/* Can we apply isl_map_curry to "map"?
+ * That is, does it have a nested relation in its domain?
+ */
+int isl_map_can_curry(__isl_keep isl_map *map)
+{
+ if (!map)
+ return -1;
- pos = isl_basic_map_offset(bmap, isl_dim_out);
- isl_seq_cpy(bmap->eq[k], aff->v->el + 1, pos);
- isl_int_neg(bmap->eq[k][pos], aff->v->el[0]);
- isl_seq_cpy(bmap->eq[k] + pos + 1, aff->v->el + 1 + pos,
- aff->v->size - (pos + 1));
+ return isl_space_can_curry(map->dim);
+}
- isl_aff_free(aff);
- bmap = isl_basic_map_finalize(bmap);
+/* Given a basic map (A -> B) -> C, return the corresponding basic map
+ * A -> (B -> C).
+ */
+__isl_give isl_basic_map *isl_basic_map_curry(__isl_take isl_basic_map *bmap)
+{
+
+ if (!bmap)
+ return NULL;
+
+ if (!isl_basic_map_can_curry(bmap))
+ isl_die(bmap->ctx, isl_error_invalid,
+ "basic map cannot be curried", goto error);
+ bmap = isl_basic_map_cow(bmap);
+ if (!bmap)
+ return NULL;
+ bmap->dim = isl_space_curry(bmap->dim);
+ if (!bmap->dim)
+ goto error;
return bmap;
error:
- isl_aff_free(aff);
isl_basic_map_free(bmap);
return NULL;
}
-/* Construct a basic map mapping a domain in the given space to
- * to an n-dimensional range, with n the number of elements in the list,
- * where each coordinate in the range is prescribed by the
- * corresponding affine expression.
- * The domains of all affine expressions in the list are assumed to match
- * domain_dim.
+/* Given a map (A -> B) -> C, return the corresponding map
+ * A -> (B -> C).
*/
-__isl_give isl_basic_map *isl_basic_map_from_aff_list(
- __isl_take isl_dim *domain_dim, __isl_take isl_aff_list *list)
+__isl_give isl_map *isl_map_curry(__isl_take isl_map *map)
{
int i;
- isl_dim *dim;
- isl_basic_map *bmap;
- if (!list)
+ if (!map)
return NULL;
- dim = isl_dim_from_domain(domain_dim);
- bmap = isl_basic_map_universe(dim);
-
- for (i = 0; i < list->n; ++i) {
- isl_aff *aff;
- isl_basic_map *bmap_i;
+ if (!isl_map_can_curry(map))
+ isl_die(map->ctx, isl_error_invalid, "map cannot be curried",
+ goto error);
- aff = isl_aff_copy(list->p[i]);
- bmap_i = isl_basic_map_from_aff(aff);
+ map = isl_map_cow(map);
+ if (!map)
+ return NULL;
- bmap = isl_basic_map_flat_range_product(bmap, bmap_i);
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_curry(map->p[i]);
+ if (!map->p[i])
+ goto error;
}
- isl_aff_list_free(list);
- return bmap;
+ map->dim = isl_space_curry(map->dim);
+ if (!map->dim)
+ goto error;
+
+ return map;
+error:
+ isl_map_free(map);
+ return NULL;
}
-__isl_give isl_set *isl_set_equate(__isl_take isl_set *set,
- enum isl_dim_type type1, int pos1, enum isl_dim_type type2, int pos2)
+/* Can we apply isl_basic_map_uncurry to "bmap"?
+ * That is, does it have a nested relation in its domain?
+ */
+int isl_basic_map_can_uncurry(__isl_keep isl_basic_map *bmap)
{
- return isl_map_equate(set, type1, pos1, type2, pos2);
+ if (!bmap)
+ return -1;
+
+ return isl_space_can_uncurry(bmap->dim);
}
-/* Add a constraint imposing that the given two dimensions are equal.
+/* Can we apply isl_map_uncurry to "map"?
+ * That is, does it have a nested relation in its domain?
*/
-__isl_give isl_map *isl_map_equate(__isl_take isl_map *map,
- enum isl_dim_type type1, int pos1, enum isl_dim_type type2, int pos2)
+int isl_map_can_uncurry(__isl_keep isl_map *map)
{
- isl_basic_map *bmap = NULL;
- int i;
-
if (!map)
- return NULL;
+ return -1;
- if (pos1 >= isl_map_dim(map, type1))
- isl_die(map->ctx, isl_error_invalid,
- "index out of bounds", goto error);
- if (pos2 >= isl_map_dim(map, type2))
- isl_die(map->ctx, isl_error_invalid,
+ return isl_space_can_uncurry(map->dim);
+}
+
+/* Given a basic map A -> (B -> C), return the corresponding basic map
+ * (A -> B) -> C.
+ */
+__isl_give isl_basic_map *isl_basic_map_uncurry(__isl_take isl_basic_map *bmap)
+{
+
+ if (!bmap)
+ return NULL;
+
+ if (!isl_basic_map_can_uncurry(bmap))
+ isl_die(bmap->ctx, isl_error_invalid,
+ "basic map cannot be uncurried",
+ return isl_basic_map_free(bmap));
+ bmap = isl_basic_map_cow(bmap);
+ if (!bmap)
+ return NULL;
+ bmap->dim = isl_space_uncurry(bmap->dim);
+ if (!bmap->dim)
+ return isl_basic_map_free(bmap);
+ return bmap;
+}
+
+/* Given a map A -> (B -> C), return the corresponding map
+ * (A -> B) -> C.
+ */
+__isl_give isl_map *isl_map_uncurry(__isl_take isl_map *map)
+{
+ int i;
+
+ if (!map)
+ return NULL;
+
+ if (!isl_map_can_uncurry(map))
+ isl_die(map->ctx, isl_error_invalid, "map cannot be uncurried",
+ return isl_map_free(map));
+
+ map = isl_map_cow(map);
+ if (!map)
+ return NULL;
+
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_uncurry(map->p[i]);
+ if (!map->p[i])
+ return isl_map_free(map);
+ }
+
+ map->dim = isl_space_uncurry(map->dim);
+ if (!map->dim)
+ return isl_map_free(map);
+
+ return map;
+}
+
+/* Construct a basic map mapping the domain of the affine expression
+ * to a one-dimensional range prescribed by the affine expression.
+ */
+__isl_give isl_basic_map *isl_basic_map_from_aff(__isl_take isl_aff *aff)
+{
+ int k;
+ int pos;
+ isl_local_space *ls;
+ isl_basic_map *bmap;
+
+ if (!aff)
+ return NULL;
+
+ ls = isl_aff_get_local_space(aff);
+ bmap = isl_basic_map_from_local_space(ls);
+ bmap = isl_basic_map_extend_constraints(bmap, 1, 0);
+ k = isl_basic_map_alloc_equality(bmap);
+ if (k < 0)
+ goto error;
+
+ pos = isl_basic_map_offset(bmap, isl_dim_out);
+ isl_seq_cpy(bmap->eq[k], aff->v->el + 1, pos);
+ isl_int_neg(bmap->eq[k][pos], aff->v->el[0]);
+ isl_seq_cpy(bmap->eq[k] + pos + 1, aff->v->el + 1 + pos,
+ aff->v->size - (pos + 1));
+
+ isl_aff_free(aff);
+ bmap = isl_basic_map_finalize(bmap);
+ return bmap;
+error:
+ isl_aff_free(aff);
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+/* Construct a map mapping the domain of the affine expression
+ * to a one-dimensional range prescribed by the affine expression.
+ */
+__isl_give isl_map *isl_map_from_aff(__isl_take isl_aff *aff)
+{
+ isl_basic_map *bmap;
+
+ bmap = isl_basic_map_from_aff(aff);
+ return isl_map_from_basic_map(bmap);
+}
+
+/* Construct a basic map mapping the domain the multi-affine expression
+ * to its range, with each dimension in the range equated to the
+ * corresponding affine expression.
+ */
+__isl_give isl_basic_map *isl_basic_map_from_multi_aff(
+ __isl_take isl_multi_aff *maff)
+{
+ int i;
+ isl_space *space;
+ isl_basic_map *bmap;
+
+ if (!maff)
+ return NULL;
+
+ if (isl_space_dim(maff->space, isl_dim_out) != maff->n)
+ isl_die(isl_multi_aff_get_ctx(maff), isl_error_internal,
+ "invalid space", return isl_multi_aff_free(maff));
+
+ space = isl_space_domain(isl_multi_aff_get_space(maff));
+ bmap = isl_basic_map_universe(isl_space_from_domain(space));
+
+ for (i = 0; i < maff->n; ++i) {
+ isl_aff *aff;
+ isl_basic_map *bmap_i;
+
+ aff = isl_aff_copy(maff->p[i]);
+ bmap_i = isl_basic_map_from_aff(aff);
+
+ bmap = isl_basic_map_flat_range_product(bmap, bmap_i);
+ }
+
+ bmap = isl_basic_map_reset_space(bmap, isl_multi_aff_get_space(maff));
+
+ isl_multi_aff_free(maff);
+ return bmap;
+}
+
+/* Construct a map mapping the domain the multi-affine expression
+ * to its range, with each dimension in the range equated to the
+ * corresponding affine expression.
+ */
+__isl_give isl_map *isl_map_from_multi_aff(__isl_take isl_multi_aff *maff)
+{
+ isl_basic_map *bmap;
+
+ bmap = isl_basic_map_from_multi_aff(maff);
+ return isl_map_from_basic_map(bmap);
+}
+
+/* Construct a basic map mapping a domain in the given space to
+ * to an n-dimensional range, with n the number of elements in the list,
+ * where each coordinate in the range is prescribed by the
+ * corresponding affine expression.
+ * The domains of all affine expressions in the list are assumed to match
+ * domain_dim.
+ */
+__isl_give isl_basic_map *isl_basic_map_from_aff_list(
+ __isl_take isl_space *domain_dim, __isl_take isl_aff_list *list)
+{
+ int i;
+ isl_space *dim;
+ isl_basic_map *bmap;
+
+ if (!list)
+ return NULL;
+
+ dim = isl_space_from_domain(domain_dim);
+ bmap = isl_basic_map_universe(dim);
+
+ for (i = 0; i < list->n; ++i) {
+ isl_aff *aff;
+ isl_basic_map *bmap_i;
+
+ aff = isl_aff_copy(list->p[i]);
+ bmap_i = isl_basic_map_from_aff(aff);
+
+ bmap = isl_basic_map_flat_range_product(bmap, bmap_i);
+ }
+
+ isl_aff_list_free(list);
+ return bmap;
+}
+
+__isl_give isl_set *isl_set_equate(__isl_take isl_set *set,
+ enum isl_dim_type type1, int pos1, enum isl_dim_type type2, int pos2)
+{
+ return isl_map_equate(set, type1, pos1, type2, pos2);
+}
+
+/* Construct a basic map where the given dimensions are equal to each other.
+ */
+static __isl_give isl_basic_map *equator(__isl_take isl_space *space,
+ enum isl_dim_type type1, int pos1, enum isl_dim_type type2, int pos2)
+{
+ isl_basic_map *bmap = NULL;
+ int i;
+
+ if (!space)
+ return NULL;
+
+ if (pos1 >= isl_space_dim(space, type1))
+ isl_die(isl_space_get_ctx(space), isl_error_invalid,
+ "index out of bounds", goto error);
+ if (pos2 >= isl_space_dim(space, type2))
+ isl_die(isl_space_get_ctx(space), isl_error_invalid,
"index out of bounds", goto error);
- bmap = isl_basic_map_alloc_dim(isl_map_get_dim(map), 0, 1, 0);
+ if (type1 == type2 && pos1 == pos2)
+ return isl_basic_map_universe(space);
+
+ bmap = isl_basic_map_alloc_space(isl_space_copy(space), 0, 1, 0);
i = isl_basic_map_alloc_equality(bmap);
if (i < 0)
goto error;
isl_int_set_si(bmap->eq[i][pos1], -1);
isl_int_set_si(bmap->eq[i][pos2], 1);
bmap = isl_basic_map_finalize(bmap);
+ isl_space_free(space);
+ return bmap;
+error:
+ isl_space_free(space);
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+/* Add a constraint imposing that the given two dimensions are equal.
+ */
+__isl_give isl_basic_map *isl_basic_map_equate(__isl_take isl_basic_map *bmap,
+ enum isl_dim_type type1, int pos1, enum isl_dim_type type2, int pos2)
+{
+ isl_basic_map *eq;
+
+ eq = equator(isl_basic_map_get_space(bmap), type1, pos1, type2, pos2);
+
+ bmap = isl_basic_map_intersect(bmap, eq);
+
+ return bmap;
+}
+
+/* Add a constraint imposing that the given two dimensions are equal.
+ */
+__isl_give isl_map *isl_map_equate(__isl_take isl_map *map,
+ enum isl_dim_type type1, int pos1, enum isl_dim_type type2, int pos2)
+{
+ isl_basic_map *bmap;
+
+ bmap = equator(isl_map_get_space(map), type1, pos1, type2, pos2);
map = isl_map_intersect(map, isl_map_from_basic_map(bmap));
return map;
-error:
- isl_basic_map_free(bmap);
- isl_map_free(map);
- return NULL;
}
/* Add a constraint imposing that the given two dimensions have opposite values.
isl_die(map->ctx, isl_error_invalid,
"index out of bounds", goto error);
- bmap = isl_basic_map_alloc_dim(isl_map_get_dim(map), 0, 1, 0);
+ bmap = isl_basic_map_alloc_space(isl_map_get_space(map), 0, 1, 0);
i = isl_basic_map_alloc_equality(bmap);
if (i < 0)
goto error;
isl_map_free(map);
return NULL;
}
+
+/* Add a constraint imposing that the value of the first dimension is
+ * greater than or equal to that of the second.
+ */
+__isl_give isl_basic_map *isl_basic_map_order_ge(__isl_take isl_basic_map *bmap,
+ enum isl_dim_type type1, int pos1, enum isl_dim_type type2, int pos2)
+{
+ isl_constraint *c;
+ isl_local_space *ls;
+
+ if (!bmap)
+ return NULL;
+
+ if (pos1 >= isl_basic_map_dim(bmap, type1))
+ isl_die(bmap->ctx, isl_error_invalid,
+ "index out of bounds", return isl_basic_map_free(bmap));
+ if (pos2 >= isl_basic_map_dim(bmap, type2))
+ isl_die(bmap->ctx, isl_error_invalid,
+ "index out of bounds", return isl_basic_map_free(bmap));
+
+ if (type1 == type2 && pos1 == pos2)
+ return bmap;
+
+ ls = isl_local_space_from_space(isl_basic_map_get_space(bmap));
+ c = isl_inequality_alloc(ls);
+ c = isl_constraint_set_coefficient_si(c, type1, pos1, 1);
+ c = isl_constraint_set_coefficient_si(c, type2, pos2, -1);
+ bmap = isl_basic_map_add_constraint(bmap, c);
+
+ return bmap;
+}
+
+/* Construct a basic map where the value of the first dimension is
+ * greater than that of the second.
+ */
+static __isl_give isl_basic_map *greator(__isl_take isl_space *space,
+ enum isl_dim_type type1, int pos1, enum isl_dim_type type2, int pos2)
+{
+ isl_basic_map *bmap = NULL;
+ int i;
+
+ if (!space)
+ return NULL;
+
+ if (pos1 >= isl_space_dim(space, type1))
+ isl_die(isl_space_get_ctx(space), isl_error_invalid,
+ "index out of bounds", goto error);
+ if (pos2 >= isl_space_dim(space, type2))
+ isl_die(isl_space_get_ctx(space), isl_error_invalid,
+ "index out of bounds", goto error);
+
+ if (type1 == type2 && pos1 == pos2)
+ return isl_basic_map_empty(space);
+
+ bmap = isl_basic_map_alloc_space(space, 0, 0, 1);
+ i = isl_basic_map_alloc_inequality(bmap);
+ if (i < 0)
+ goto error;
+ isl_seq_clr(bmap->ineq[i], 1 + isl_basic_map_total_dim(bmap));
+ pos1 += isl_basic_map_offset(bmap, type1);
+ pos2 += isl_basic_map_offset(bmap, type2);
+ isl_int_set_si(bmap->ineq[i][pos1], 1);
+ isl_int_set_si(bmap->ineq[i][pos2], -1);
+ isl_int_set_si(bmap->ineq[i][0], -1);
+ bmap = isl_basic_map_finalize(bmap);
+
+ return bmap;
+error:
+ isl_space_free(space);
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+/* Add a constraint imposing that the value of the first dimension is
+ * greater than that of the second.
+ */
+__isl_give isl_basic_map *isl_basic_map_order_gt(__isl_take isl_basic_map *bmap,
+ enum isl_dim_type type1, int pos1, enum isl_dim_type type2, int pos2)
+{
+ isl_basic_map *gt;
+
+ gt = greator(isl_basic_map_get_space(bmap), type1, pos1, type2, pos2);
+
+ bmap = isl_basic_map_intersect(bmap, gt);
+
+ return bmap;
+}
+
+/* Add a constraint imposing that the value of the first dimension is
+ * greater than that of the second.
+ */
+__isl_give isl_map *isl_map_order_gt(__isl_take isl_map *map,
+ enum isl_dim_type type1, int pos1, enum isl_dim_type type2, int pos2)
+{
+ isl_basic_map *bmap;
+
+ bmap = greator(isl_map_get_space(map), type1, pos1, type2, pos2);
+
+ map = isl_map_intersect(map, isl_map_from_basic_map(bmap));
+
+ return map;
+}
+
+/* Add a constraint imposing that the value of the first dimension is
+ * smaller than that of the second.
+ */
+__isl_give isl_map *isl_map_order_lt(__isl_take isl_map *map,
+ enum isl_dim_type type1, int pos1, enum isl_dim_type type2, int pos2)
+{
+ return isl_map_order_gt(map, type2, pos2, type1, pos1);
+}
+
+__isl_give isl_aff *isl_basic_map_get_div(__isl_keep isl_basic_map *bmap,
+ int pos)
+{
+ isl_aff *div;
+ isl_local_space *ls;
+
+ if (!bmap)
+ return NULL;
+
+ if (!isl_basic_map_divs_known(bmap))
+ isl_die(isl_basic_map_get_ctx(bmap), isl_error_invalid,
+ "some divs are unknown", return NULL);
+
+ ls = isl_basic_map_get_local_space(bmap);
+ div = isl_local_space_get_div(ls, pos);
+ isl_local_space_free(ls);
+
+ return div;
+}
+
+__isl_give isl_aff *isl_basic_set_get_div(__isl_keep isl_basic_set *bset,
+ int pos)
+{
+ return isl_basic_map_get_div(bset, pos);
+}
+
+/* Plug in "subs" for dimension "type", "pos" of "bset".
+ *
+ * Let i be the dimension to replace and let "subs" be of the form
+ *
+ * f/d
+ *
+ * Any integer division with a non-zero coefficient for i,
+ *
+ * floor((a i + g)/m)
+ *
+ * is replaced by
+ *
+ * floor((a f + d g)/(m d))
+ *
+ * Constraints of the form
+ *
+ * a i + g
+ *
+ * are replaced by
+ *
+ * a f + d g
+ *
+ * We currently require that "subs" is an integral expression.
+ * Handling rational expressions may require us to add stride constraints
+ * as we do in isl_basic_set_preimage_multi_aff.
+ */
+__isl_give isl_basic_set *isl_basic_set_substitute(
+ __isl_take isl_basic_set *bset,
+ enum isl_dim_type type, unsigned pos, __isl_keep isl_aff *subs)
+{
+ int i;
+ isl_int v;
+ isl_ctx *ctx;
+
+ if (bset && isl_basic_set_plain_is_empty(bset))
+ return bset;
+
+ bset = isl_basic_set_cow(bset);
+ if (!bset || !subs)
+ goto error;
+
+ ctx = isl_basic_set_get_ctx(bset);
+ if (!isl_space_is_equal(bset->dim, subs->ls->dim))
+ isl_die(ctx, isl_error_invalid,
+ "spaces don't match", goto error);
+ if (isl_local_space_dim(subs->ls, isl_dim_div) != 0)
+ isl_die(ctx, isl_error_unsupported,
+ "cannot handle divs yet", goto error);
+ if (!isl_int_is_one(subs->v->el[0]))
+ isl_die(ctx, isl_error_invalid,
+ "can only substitute integer expressions", goto error);
+
+ pos += isl_basic_set_offset(bset, type);
+
+ isl_int_init(v);
+
+ for (i = 0; i < bset->n_eq; ++i) {
+ if (isl_int_is_zero(bset->eq[i][pos]))
+ continue;
+ isl_int_set(v, bset->eq[i][pos]);
+ isl_int_set_si(bset->eq[i][pos], 0);
+ isl_seq_combine(bset->eq[i], subs->v->el[0], bset->eq[i],
+ v, subs->v->el + 1, subs->v->size - 1);
+ }
+
+ for (i = 0; i < bset->n_ineq; ++i) {
+ if (isl_int_is_zero(bset->ineq[i][pos]))
+ continue;
+ isl_int_set(v, bset->ineq[i][pos]);
+ isl_int_set_si(bset->ineq[i][pos], 0);
+ isl_seq_combine(bset->ineq[i], subs->v->el[0], bset->ineq[i],
+ v, subs->v->el + 1, subs->v->size - 1);
+ }
+
+ for (i = 0; i < bset->n_div; ++i) {
+ if (isl_int_is_zero(bset->div[i][1 + pos]))
+ continue;
+ isl_int_set(v, bset->div[i][1 + pos]);
+ isl_int_set_si(bset->div[i][1 + pos], 0);
+ isl_seq_combine(bset->div[i] + 1,
+ subs->v->el[0], bset->div[i] + 1,
+ v, subs->v->el + 1, subs->v->size - 1);
+ isl_int_mul(bset->div[i][0], bset->div[i][0], subs->v->el[0]);
+ }
+
+ isl_int_clear(v);
+
+ bset = isl_basic_set_simplify(bset);
+ return isl_basic_set_finalize(bset);
+error:
+ isl_basic_set_free(bset);
+ return NULL;
+}
+
+/* Plug in "subs" for dimension "type", "pos" of "set".
+ */
+__isl_give isl_set *isl_set_substitute(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned pos, __isl_keep isl_aff *subs)
+{
+ int i;
+
+ if (set && isl_set_plain_is_empty(set))
+ return set;
+
+ set = isl_set_cow(set);
+ if (!set || !subs)
+ goto error;
+
+ for (i = set->n - 1; i >= 0; --i) {
+ set->p[i] = isl_basic_set_substitute(set->p[i], type, pos, subs);
+ if (remove_if_empty(set, i) < 0)
+ goto error;
+ }
+
+ return set;
+error:
+ isl_set_free(set);
+ return NULL;
+}
+
+/* Check if the range of "ma" is compatible with the domain or range
+ * (depending on "type") of "bmap".
+ * Return -1 if anything is wrong.
+ */
+static int check_basic_map_compatible_range_multi_aff(
+ __isl_keep isl_basic_map *bmap, enum isl_dim_type type,
+ __isl_keep isl_multi_aff *ma)
+{
+ int m;
+ isl_space *ma_space;
+
+ ma_space = isl_multi_aff_get_space(ma);
+ m = isl_space_tuple_match(bmap->dim, type, ma_space, isl_dim_out);
+ isl_space_free(ma_space);
+ if (m >= 0 && !m)
+ isl_die(isl_basic_map_get_ctx(bmap), isl_error_invalid,
+ "spaces don't match", return -1);
+ return m;
+}
+
+/* Copy the divs from "ma" to "bmap", adding zeros for the "n_before"
+ * coefficients before the transformed range of dimensions,
+ * the "n_after" coefficients after the transformed range of dimensions
+ * and the coefficients of the other divs in "bmap".
+ */
+static int set_ma_divs(__isl_keep isl_basic_map *bmap,
+ __isl_keep isl_multi_aff *ma, int n_before, int n_after, int n_div)
+{
+ int i;
+ int n_param;
+ int n_set;
+ isl_local_space *ls;
+
+ if (n_div == 0)
+ return 0;
+
+ ls = isl_aff_get_domain_local_space(ma->p[0]);
+ if (!ls)
+ return -1;
+
+ n_param = isl_local_space_dim(ls, isl_dim_param);
+ n_set = isl_local_space_dim(ls, isl_dim_set);
+ for (i = 0; i < n_div; ++i) {
+ int o_bmap = 0, o_ls = 0;
+
+ isl_seq_cpy(bmap->div[i], ls->div->row[i], 1 + 1 + n_param);
+ o_bmap += 1 + 1 + n_param;
+ o_ls += 1 + 1 + n_param;
+ isl_seq_clr(bmap->div[i] + o_bmap, n_before);
+ o_bmap += n_before;
+ isl_seq_cpy(bmap->div[i] + o_bmap,
+ ls->div->row[i] + o_ls, n_set);
+ o_bmap += n_set;
+ o_ls += n_set;
+ isl_seq_clr(bmap->div[i] + o_bmap, n_after);
+ o_bmap += n_after;
+ isl_seq_cpy(bmap->div[i] + o_bmap,
+ ls->div->row[i] + o_ls, n_div);
+ o_bmap += n_div;
+ o_ls += n_div;
+ isl_seq_clr(bmap->div[i] + o_bmap, bmap->n_div - n_div);
+ if (isl_basic_set_add_div_constraints(bmap, i) < 0)
+ goto error;
+ }
+
+ isl_local_space_free(ls);
+ return 0;
+error:
+ isl_local_space_free(ls);
+ return -1;
+}
+
+/* How many stride constraints does "ma" enforce?
+ * That is, how many of the affine expressions have a denominator
+ * different from one?
+ */
+static int multi_aff_strides(__isl_keep isl_multi_aff *ma)
+{
+ int i;
+ int strides = 0;
+
+ for (i = 0; i < ma->n; ++i)
+ if (!isl_int_is_one(ma->p[i]->v->el[0]))
+ strides++;
+
+ return strides;
+}
+
+/* For each affine expression in ma of the form
+ *
+ * x_i = (f_i y + h_i)/m_i
+ *
+ * with m_i different from one, add a constraint to "bmap"
+ * of the form
+ *
+ * f_i y + h_i = m_i alpha_i
+ *
+ * with alpha_i an additional existentially quantified variable.
+ */
+static __isl_give isl_basic_map *add_ma_strides(
+ __isl_take isl_basic_map *bmap, __isl_keep isl_multi_aff *ma,
+ int n_before, int n_after)
+{
+ int i, k;
+ int div;
+ int total;
+ int n_param;
+ int n_in;
+ int n_div;
+
+ total = isl_basic_map_total_dim(bmap);
+ n_param = isl_multi_aff_dim(ma, isl_dim_param);
+ n_in = isl_multi_aff_dim(ma, isl_dim_in);
+ n_div = isl_multi_aff_dim(ma, isl_dim_div);
+ for (i = 0; i < ma->n; ++i) {
+ int o_bmap = 0, o_ma = 1;
+
+ if (isl_int_is_one(ma->p[i]->v->el[0]))
+ continue;
+ div = isl_basic_map_alloc_div(bmap);
+ k = isl_basic_map_alloc_equality(bmap);
+ if (div < 0 || k < 0)
+ goto error;
+ isl_int_set_si(bmap->div[div][0], 0);
+ isl_seq_cpy(bmap->eq[k] + o_bmap,
+ ma->p[i]->v->el + o_ma, 1 + n_param);
+ o_bmap += 1 + n_param;
+ o_ma += 1 + n_param;
+ isl_seq_clr(bmap->eq[k] + o_bmap, n_before);
+ o_bmap += n_before;
+ isl_seq_cpy(bmap->eq[k] + o_bmap,
+ ma->p[i]->v->el + o_ma, n_in);
+ o_bmap += n_in;
+ o_ma += n_in;
+ isl_seq_clr(bmap->eq[k] + o_bmap, n_after);
+ o_bmap += n_after;
+ isl_seq_cpy(bmap->eq[k] + o_bmap,
+ ma->p[i]->v->el + o_ma, n_div);
+ o_bmap += n_div;
+ o_ma += n_div;
+ isl_seq_clr(bmap->eq[k] + o_bmap, 1 + total - o_bmap);
+ isl_int_neg(bmap->eq[k][1 + total], ma->p[i]->v->el[0]);
+ total++;
+ }
+
+ return bmap;
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+/* Replace the domain or range space (depending on "type) of "space" by "set".
+ */
+static __isl_give isl_space *isl_space_set(__isl_take isl_space *space,
+ enum isl_dim_type type, __isl_take isl_space *set)
+{
+ if (type == isl_dim_in) {
+ space = isl_space_range(space);
+ space = isl_space_map_from_domain_and_range(set, space);
+ } else {
+ space = isl_space_domain(space);
+ space = isl_space_map_from_domain_and_range(space, set);
+ }
+
+ return space;
+}
+
+/* Compute the preimage of the domain or range (depending on "type")
+ * of "bmap" under the function represented by "ma".
+ * In other words, plug in "ma" in the domain or range of "bmap".
+ * The result is a basic map that lives in the same space as "bmap"
+ * except that the domain or range has been replaced by
+ * the domain space of "ma".
+ *
+ * If bmap is represented by
+ *
+ * A(p) + S u + B x + T v + C(divs) >= 0,
+ *
+ * where u and x are input and output dimensions if type == isl_dim_out
+ * while x and v are input and output dimensions if type == isl_dim_in,
+ * and ma is represented by
+ *
+ * x = D(p) + F(y) + G(divs')
+ *
+ * then the result is
+ *
+ * A(p) + B D(p) + S u + B F(y) + T v + B G(divs') + C(divs) >= 0
+ *
+ * The divs in the input set are similarly adjusted.
+ * In particular
+ *
+ * floor((a_i(p) + s u + b_i x + t v + c_i(divs))/n_i)
+ *
+ * becomes
+ *
+ * floor((a_i(p) + b_i D(p) + s u + b_i F(y) + t v +
+ * B_i G(divs') + c_i(divs))/n_i)
+ *
+ * If bmap is not a rational map and if F(y) involves any denominators
+ *
+ * x_i = (f_i y + h_i)/m_i
+ *
+ * then additional constraints are added to ensure that we only
+ * map back integer points. That is we enforce
+ *
+ * f_i y + h_i = m_i alpha_i
+ *
+ * with alpha_i an additional existentially quantified variable.
+ *
+ * We first copy over the divs from "ma".
+ * Then we add the modified constraints and divs from "bmap".
+ * Finally, we add the stride constraints, if needed.
+ */
+__isl_give isl_basic_map *isl_basic_map_preimage_multi_aff(
+ __isl_take isl_basic_map *bmap, enum isl_dim_type type,
+ __isl_take isl_multi_aff *ma)
+{
+ int i, k;
+ isl_space *space;
+ isl_basic_map *res = NULL;
+ int n_before, n_after, n_div_bmap, n_div_ma;
+ isl_int f, c1, c2, g;
+ int rational, strides;
+
+ isl_int_init(f);
+ isl_int_init(c1);
+ isl_int_init(c2);
+ isl_int_init(g);
+
+ ma = isl_multi_aff_align_divs(ma);
+ if (!bmap || !ma)
+ goto error;
+ if (check_basic_map_compatible_range_multi_aff(bmap, type, ma) < 0)
+ goto error;
+
+ if (type == isl_dim_in) {
+ n_before = 0;
+ n_after = isl_basic_map_dim(bmap, isl_dim_out);
+ } else {
+ n_before = isl_basic_map_dim(bmap, isl_dim_in);
+ n_after = 0;
+ }
+ n_div_bmap = isl_basic_map_dim(bmap, isl_dim_div);
+ n_div_ma = ma->n ? isl_aff_dim(ma->p[0], isl_dim_div) : 0;
+
+ space = isl_multi_aff_get_domain_space(ma);
+ space = isl_space_set(isl_basic_map_get_space(bmap), type, space);
+ rational = isl_basic_map_is_rational(bmap);
+ strides = rational ? 0 : multi_aff_strides(ma);
+ res = isl_basic_map_alloc_space(space, n_div_ma + n_div_bmap + strides,
+ bmap->n_eq + strides, bmap->n_ineq + 2 * n_div_ma);
+ if (rational)
+ res = isl_basic_map_set_rational(res);
+
+ for (i = 0; i < n_div_ma + n_div_bmap; ++i)
+ if (isl_basic_map_alloc_div(res) < 0)
+ goto error;
+
+ if (set_ma_divs(res, ma, n_before, n_after, n_div_ma) < 0)
+ goto error;
+
+ for (i = 0; i < bmap->n_eq; ++i) {
+ k = isl_basic_map_alloc_equality(res);
+ if (k < 0)
+ goto error;
+ isl_seq_preimage(res->eq[k], bmap->eq[i], ma, n_before,
+ n_after, n_div_ma, n_div_bmap, f, c1, c2, g, 0);
+ }
+
+ for (i = 0; i < bmap->n_ineq; ++i) {
+ k = isl_basic_map_alloc_inequality(res);
+ if (k < 0)
+ goto error;
+ isl_seq_preimage(res->ineq[k], bmap->ineq[i], ma, n_before,
+ n_after, n_div_ma, n_div_bmap, f, c1, c2, g, 0);
+ }
+
+ for (i = 0; i < bmap->n_div; ++i) {
+ if (isl_int_is_zero(bmap->div[i][0])) {
+ isl_int_set_si(res->div[n_div_ma + i][0], 0);
+ continue;
+ }
+ isl_seq_preimage(res->div[n_div_ma + i], bmap->div[i], ma,
+ n_before, n_after, n_div_ma, n_div_bmap,
+ f, c1, c2, g, 1);
+ }
+
+ if (strides)
+ res = add_ma_strides(res, ma, n_before, n_after);
+
+ isl_int_clear(f);
+ isl_int_clear(c1);
+ isl_int_clear(c2);
+ isl_int_clear(g);
+ isl_basic_map_free(bmap);
+ isl_multi_aff_free(ma);
+ res = isl_basic_set_simplify(res);
+ return isl_basic_map_finalize(res);
+error:
+ isl_int_clear(f);
+ isl_int_clear(c1);
+ isl_int_clear(c2);
+ isl_int_clear(g);
+ isl_basic_map_free(bmap);
+ isl_multi_aff_free(ma);
+ isl_basic_map_free(res);
+ return NULL;
+}
+
+/* Compute the preimage of "bset" under the function represented by "ma".
+ * In other words, plug in "ma" in "bset". The result is a basic set
+ * that lives in the domain space of "ma".
+ */
+__isl_give isl_basic_set *isl_basic_set_preimage_multi_aff(
+ __isl_take isl_basic_set *bset, __isl_take isl_multi_aff *ma)
+{
+ return isl_basic_map_preimage_multi_aff(bset, isl_dim_set, ma);
+}
+
+/* Check if the range of "ma" is compatible with the domain or range
+ * (depending on "type") of "map".
+ * Return -1 if anything is wrong.
+ */
+static int check_map_compatible_range_multi_aff(
+ __isl_keep isl_map *map, enum isl_dim_type type,
+ __isl_keep isl_multi_aff *ma)
+{
+ int m;
+ isl_space *ma_space;
+
+ ma_space = isl_multi_aff_get_space(ma);
+ m = isl_space_tuple_match(map->dim, type, ma_space, isl_dim_out);
+ isl_space_free(ma_space);
+ if (m >= 0 && !m)
+ isl_die(isl_map_get_ctx(map), isl_error_invalid,
+ "spaces don't match", return -1);
+ return m;
+}
+
+/* Compute the preimage of the domain or range (depending on "type")
+ * of "map" under the function represented by "ma".
+ * In other words, plug in "ma" in the domain or range of "map".
+ * The result is a map that lives in the same space as "map"
+ * except that the domain or range has been replaced by
+ * the domain space of "ma".
+ *
+ * The parameters are assumed to have been aligned.
+ */
+static __isl_give isl_map *map_preimage_multi_aff(__isl_take isl_map *map,
+ enum isl_dim_type type, __isl_take isl_multi_aff *ma)
+{
+ int i;
+ isl_space *space;
+
+ map = isl_map_cow(map);
+ ma = isl_multi_aff_align_divs(ma);
+ if (!map || !ma)
+ goto error;
+ if (check_map_compatible_range_multi_aff(map, type, ma) < 0)
+ goto error;
+
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_preimage_multi_aff(map->p[i], type,
+ isl_multi_aff_copy(ma));
+ if (!map->p[i])
+ goto error;
+ }
+
+ space = isl_multi_aff_get_domain_space(ma);
+ space = isl_space_set(isl_map_get_space(map), type, space);
+
+ isl_space_free(map->dim);
+ map->dim = space;
+ if (!map->dim)
+ goto error;
+
+ isl_multi_aff_free(ma);
+ if (map->n > 1)
+ ISL_F_CLR(map, ISL_MAP_DISJOINT);
+ ISL_F_CLR(map, ISL_SET_NORMALIZED);
+ return map;
+error:
+ isl_multi_aff_free(ma);
+ isl_map_free(map);
+ return NULL;
+}
+
+/* Compute the preimage of the domain or range (depending on "type")
+ * of "map" under the function represented by "ma".
+ * In other words, plug in "ma" in the domain or range of "map".
+ * The result is a map that lives in the same space as "map"
+ * except that the domain or range has been replaced by
+ * the domain space of "ma".
+ */
+__isl_give isl_map *isl_map_preimage_multi_aff(__isl_take isl_map *map,
+ enum isl_dim_type type, __isl_take isl_multi_aff *ma)
+{
+ if (!map || !ma)
+ goto error;
+
+ if (isl_space_match(map->dim, isl_dim_param, ma->space, isl_dim_param))
+ return map_preimage_multi_aff(map, type, ma);
+
+ if (!isl_space_has_named_params(map->dim) ||
+ !isl_space_has_named_params(ma->space))
+ isl_die(map->ctx, isl_error_invalid,
+ "unaligned unnamed parameters", goto error);
+ map = isl_map_align_params(map, isl_multi_aff_get_space(ma));
+ ma = isl_multi_aff_align_params(ma, isl_map_get_space(map));
+
+ return map_preimage_multi_aff(map, type, ma);
+error:
+ isl_multi_aff_free(ma);
+ return isl_map_free(map);
+}
+
+/* Compute the preimage of "set" under the function represented by "ma".
+ * In other words, plug in "ma" "set". The result is a set
+ * that lives in the domain space of "ma".
+ */
+__isl_give isl_set *isl_set_preimage_multi_aff(__isl_take isl_set *set,
+ __isl_take isl_multi_aff *ma)
+{
+ return isl_map_preimage_multi_aff(set, isl_dim_set, ma);
+}
+
+/* Compute the preimage of the domain of "map" under the function
+ * represented by "ma".
+ * In other words, plug in "ma" in the domain of "map".
+ * The result is a map that lives in the same space as "map"
+ * except that the domain has been replaced by the domain space of "ma".
+ */
+__isl_give isl_map *isl_map_preimage_domain_multi_aff(__isl_take isl_map *map,
+ __isl_take isl_multi_aff *ma)
+{
+ return isl_map_preimage_multi_aff(map, isl_dim_in, ma);
+}
+
+/* Compute the preimage of "set" under the function represented by "pma".
+ * In other words, plug in "pma" in "set. The result is a set
+ * that lives in the domain space of "pma".
+ */
+static __isl_give isl_set *set_preimage_pw_multi_aff(__isl_take isl_set *set,
+ __isl_take isl_pw_multi_aff *pma)
+{
+ int i;
+ isl_set *res;
+
+ if (!pma)
+ goto error;
+
+ if (pma->n == 0) {
+ isl_pw_multi_aff_free(pma);
+ res = isl_set_empty(isl_set_get_space(set));
+ isl_set_free(set);
+ return res;
+ }
+
+ res = isl_set_preimage_multi_aff(isl_set_copy(set),
+ isl_multi_aff_copy(pma->p[0].maff));
+ res = isl_set_intersect(res, isl_set_copy(pma->p[0].set));
+
+ for (i = 1; i < pma->n; ++i) {
+ isl_set *res_i;
+
+ res_i = isl_set_preimage_multi_aff(isl_set_copy(set),
+ isl_multi_aff_copy(pma->p[i].maff));
+ res_i = isl_set_intersect(res_i, isl_set_copy(pma->p[i].set));
+ res = isl_set_union(res, res_i);
+ }
+
+ isl_pw_multi_aff_free(pma);
+ isl_set_free(set);
+ return res;
+error:
+ isl_pw_multi_aff_free(pma);
+ isl_set_free(set);
+ return NULL;
+}
+
+__isl_give isl_set *isl_set_preimage_pw_multi_aff(__isl_take isl_set *set,
+ __isl_take isl_pw_multi_aff *pma)
+{
+ if (!set || !pma)
+ goto error;
+
+ if (isl_space_match(set->dim, isl_dim_param, pma->dim, isl_dim_param))
+ return set_preimage_pw_multi_aff(set, pma);
+
+ if (!isl_space_has_named_params(set->dim) ||
+ !isl_space_has_named_params(pma->dim))
+ isl_die(set->ctx, isl_error_invalid,
+ "unaligned unnamed parameters", goto error);
+ set = isl_set_align_params(set, isl_pw_multi_aff_get_space(pma));
+ pma = isl_pw_multi_aff_align_params(pma, isl_set_get_space(set));
+
+ return set_preimage_pw_multi_aff(set, pma);
+error:
+ isl_pw_multi_aff_free(pma);
+ return isl_set_free(set);
+}