#include <strings.h>
#include "isl_ctx.h"
#include "isl_blk.h"
-#include "isl_dim.h"
+#include "isl_dim_private.h"
#include "isl_equalities.h"
#include "isl_list.h"
#include "isl_lp.h"
case isl_dim_in: return dim->n_in;
case isl_dim_out: return dim->n_out;
case isl_dim_all: return dim->nparam + dim->n_in + dim->n_out;
+ default: return 0;
}
}
case isl_dim_param: return 1;
case isl_dim_in: return 1 + dim->nparam;
case isl_dim_out: return 1 + dim->nparam + dim->n_in;
+ default: return 0;
}
}
unsigned isl_basic_map_dim(const struct isl_basic_map *bmap,
enum isl_dim_type type)
{
+ if (!bmap)
+ return 0;
switch (type) {
case isl_dim_param:
case isl_dim_in:
case isl_dim_out: return isl_dim_size(bmap->dim, type);
case isl_dim_div: return bmap->n_div;
case isl_dim_all: return isl_basic_map_total_dim(bmap);
+ default: return 0;
}
}
case isl_dim_in: return 1 + dim->nparam;
case isl_dim_out: return 1 + dim->nparam + dim->n_in;
case isl_dim_div: return 1 + dim->nparam + dim->n_in + dim->n_out;
+ default: return 0;
}
}
unsigned isl_basic_set_n_dim(const struct isl_basic_set *bset)
{
- return bset->dim->n_out;
+ return isl_basic_set_dim(bset, isl_dim_set);
}
unsigned isl_basic_set_n_param(const struct isl_basic_set *bset)
{
- return bset->dim->nparam;
+ return isl_basic_set_dim(bset, isl_dim_param);
}
unsigned isl_basic_set_total_dim(const struct isl_basic_set *bset)
unsigned isl_set_n_dim(const struct isl_set *set)
{
- return set->dim->n_out;
+ return isl_set_dim(set, isl_dim_set);
}
unsigned isl_set_n_param(const struct isl_set *set)
{
- return set->dim->nparam;
+ return isl_set_dim(set, isl_dim_param);
}
unsigned isl_basic_map_n_in(const struct isl_basic_map *bmap)
unsigned isl_basic_map_total_dim(const struct isl_basic_map *bmap)
{
- return isl_dim_total(bmap->dim) + bmap->n_div;
+ return bmap ? isl_dim_total(bmap->dim) + bmap->n_div : 0;
}
unsigned isl_map_n_in(const struct isl_map *map)
bmap->dim->nparam == bset->dim->nparam;
}
+isl_ctx *isl_map_get_ctx(__isl_keep isl_map *map)
+{
+ return map ? map->ctx : NULL;
+}
+
struct isl_dim *isl_basic_map_get_dim(struct isl_basic_map *bmap)
{
if (!bmap)
return isl_dim_copy(set->dim);
}
+__isl_give isl_basic_map *isl_basic_map_set_dim_name(
+ __isl_take isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos, const char *s)
+{
+ if (!bmap)
+ return NULL;
+ bmap->dim = isl_dim_set_name(bmap->dim, type, pos, s);
+ if (!bmap->dim)
+ goto error;
+ return bmap;
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+__isl_give isl_map *isl_map_set_dim_name(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned pos, const char *s)
+{
+ int i;
+
+ if (!map)
+ return NULL;
+
+ map->dim = isl_dim_set_name(map->dim, type, pos, s);
+ if (!map->dim)
+ goto error;
+
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_set_dim_name(map->p[i], type, pos, s);
+ if (!map->p[i])
+ goto error;
+ }
+
+ return map;
+error:
+ isl_map_free(map);
+ return NULL;
+}
+
+__isl_give isl_basic_set *isl_basic_set_set_dim_name(
+ __isl_take isl_basic_set *bset,
+ enum isl_dim_type type, unsigned pos, const char *s)
+{
+ return (isl_basic_set *)isl_basic_map_set_dim_name(
+ (isl_basic_map *)bset, type, pos, s);
+}
+
+__isl_give isl_set *isl_set_set_dim_name(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned pos, const char *s)
+{
+ return (isl_set *)isl_map_set_dim_name((isl_map *)set, type, pos, s);
+}
+
+int isl_basic_map_is_rational(__isl_keep isl_basic_map *bmap)
+{
+ if (!bmap)
+ return -1;
+ return ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL);
+}
+
static struct isl_basic_map *basic_map_init(struct isl_ctx *ctx,
struct isl_basic_map *bmap, unsigned extra,
unsigned n_eq, unsigned n_ineq)
int i;
size_t row_size = 1 + isl_dim_total(bmap->dim) + extra;
+ bmap->ctx = ctx;
+ isl_ctx_ref(ctx);
+
bmap->block = isl_blk_alloc(ctx, (n_ineq + n_eq) * row_size);
- if (isl_blk_is_error(bmap->block)) {
- free(bmap);
- return NULL;
- }
+ if (isl_blk_is_error(bmap->block))
+ goto error;
bmap->ineq = isl_alloc_array(ctx, isl_int *, n_ineq + n_eq);
- if (!bmap->ineq) {
- isl_blk_free(ctx, bmap->block);
- free(bmap);
- return NULL;
- }
+ if (!bmap->ineq)
+ goto error;
if (extra == 0) {
bmap->block2 = isl_blk_empty();
bmap->div = NULL;
} else {
bmap->block2 = isl_blk_alloc(ctx, extra * (1 + row_size));
- if (isl_blk_is_error(bmap->block2)) {
- free(bmap->ineq);
- isl_blk_free(ctx, bmap->block);
- free(bmap);
- return NULL;
- }
+ if (isl_blk_is_error(bmap->block2))
+ goto error;
bmap->div = isl_alloc_array(ctx, isl_int *, extra);
- if (!bmap->div) {
- isl_blk_free(ctx, bmap->block2);
- free(bmap->ineq);
- isl_blk_free(ctx, bmap->block);
- free(bmap);
- return NULL;
- }
+ if (!bmap->div)
+ goto error;
}
for (i = 0; i < n_ineq + n_eq; ++i)
for (i = 0; i < extra; ++i)
bmap->div[i] = bmap->block2.data + i * (1 + row_size);
- bmap->ctx = ctx;
- isl_ctx_ref(ctx);
bmap->ref = 1;
bmap->flags = 0;
bmap->c_size = n_eq + n_ineq;
if (!dim)
return NULL;
- bmap = isl_alloc_type(dim->ctx, struct isl_basic_map);
+ bmap = isl_calloc_type(dim->ctx, struct isl_basic_map);
if (!bmap)
goto error;
bmap->dim = dim;
bmap->ref++;
return bmap;
}
- return isl_basic_map_dup(bmap);
+ bmap = isl_basic_map_dup(bmap);
+ if (bmap)
+ ISL_F_SET(bmap, ISL_BASIC_SET_FINAL);
+ return bmap;
}
struct isl_map *isl_map_copy(struct isl_map *map)
return NULL;
dim = isl_dim_alloc(base->ctx, nparam, n_in, n_out);
if (!dim)
- return NULL;
+ goto error;
bmap = isl_basic_map_extend_dim(base, dim, extra, n_eq, n_ineq);
return bmap;
+error:
+ isl_basic_map_free(base);
+ return NULL;
}
struct isl_basic_set *isl_basic_set_extend(struct isl_basic_set *base,
bmap->ref--;
bmap = isl_basic_map_dup(bmap);
}
- ISL_F_CLR(bmap, ISL_BASIC_SET_FINAL);
+ if (bmap)
+ ISL_F_CLR(bmap, ISL_BASIC_SET_FINAL);
return bmap;
}
if (bmap->n_eq > 0)
isl_basic_map_free_equality(bmap, bmap->n_eq-1);
else {
- isl_basic_map_alloc_equality(bmap);
+ i = isl_basic_map_alloc_equality(bmap);
if (i < 0)
goto error;
}
}
/* Eliminate the specified n dimensions starting at first from the
- * constraints using Fourier-Motzkin, The dimensions themselves
+ * constraints using Fourier-Motzkin. The dimensions themselves
* are not removed.
*/
-struct isl_set *isl_set_eliminate_dims(struct isl_set *set,
- unsigned first, unsigned n)
+__isl_give isl_map *isl_map_eliminate(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned first, unsigned n)
{
int i;
- unsigned nparam;
- if (!set)
+ if (!map)
return NULL;
if (n == 0)
- return set;
+ return map;
- set = isl_set_cow(set);
- if (!set)
+ map = isl_map_cow(map);
+ if (!map)
return NULL;
- isl_assert(set->ctx, first+n <= isl_set_n_dim(set), goto error);
- nparam = isl_set_n_param(set);
+ isl_assert(map->ctx, first + n <= isl_map_dim(map, type), goto error);
+ first += pos(map->dim, type) - 1;
- for (i = 0; i < set->n; ++i) {
- set->p[i] = isl_basic_set_eliminate_vars(set->p[i],
- nparam + first, n);
- if (!set->p[i])
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_eliminate_vars(map->p[i], first, n);
+ if (!map->p[i])
goto error;
}
- return set;
+ return map;
error:
- isl_set_free(set);
+ isl_map_free(map);
return NULL;
}
+/* Eliminate the specified n dimensions starting at first from the
+ * constraints using Fourier-Motzkin. The dimensions themselves
+ * are not removed.
+ */
+__isl_give isl_set *isl_set_eliminate(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ return (isl_set *)isl_map_eliminate((isl_map *)set, type, first, n);
+}
+
+/* Eliminate the specified n dimensions starting at first from the
+ * constraints using Fourier-Motzkin. The dimensions themselves
+ * are not removed.
+ */
+__isl_give isl_set *isl_set_eliminate_dims(__isl_take isl_set *set,
+ unsigned first, unsigned n)
+{
+ return isl_set_eliminate(set, isl_dim_set, first, n);
+}
+
/* Project out n dimensions starting at first using Fourier-Motzkin */
struct isl_set *isl_set_remove_dims(struct isl_set *set,
unsigned first, unsigned n)
isl_basic_map_compatible_domain(bmap, bset), goto error);
bmap = isl_basic_map_cow(bmap);
- bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
- bset->n_div, bset->n_eq, bset->n_ineq);
if (!bmap)
goto error;
+ bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
+ bset->n_div, bset->n_eq, bset->n_ineq);
dim = isl_dim_reverse(isl_dim_copy(bset->dim));
bmap_domain = isl_basic_map_from_basic_set(bset, dim);
bmap = add_constraints(bmap, bmap_domain, 0, 0);
isl_basic_map_compatible_range(bmap, bset), goto error);
bmap = isl_basic_map_cow(bmap);
- bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
- bset->n_div, bset->n_eq, bset->n_ineq);
if (!bmap)
goto error;
+ bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
+ bset->n_div, bset->n_eq, bset->n_ineq);
bmap_range = isl_basic_map_from_basic_set(bset, isl_dim_copy(bset->dim));
bmap = add_constraints(bmap, bmap_range, 0, 0);
sample = isl_vec_copy(bmap2->sample);
bmap1 = isl_basic_map_cow(bmap1);
- bmap1 = isl_basic_map_extend_dim(bmap1, isl_dim_copy(bmap1->dim),
- bmap2->n_div, bmap2->n_eq, bmap2->n_ineq);
if (!bmap1)
goto error;
+ bmap1 = isl_basic_map_extend_dim(bmap1, isl_dim_copy(bmap1->dim),
+ bmap2->n_div, bmap2->n_eq, bmap2->n_ineq);
bmap1 = add_constraints(bmap1, bmap2, 0, 0);
- if (sample) {
+ if (!bmap1)
+ isl_vec_free(sample);
+ else if (sample) {
isl_vec_free(bmap1->sample);
bmap1->sample = sample;
}
map1 = isl_map_cow(map1);
if (!map1)
goto error;
+ if (isl_map_fast_is_empty(map1)) {
+ isl_map_free(map2);
+ return map1;
+ }
map1->p[0] = isl_basic_map_cow(map1->p[0]);
if (map2->p[0]->n_eq == 1)
map1->p[0] = isl_basic_map_add_eq(map1->p[0], map2->p[0]->eq[0]);
if (!map1 || !map2)
goto error;
+ if (isl_map_fast_is_empty(map1)) {
+ isl_map_free(map2);
+ return map1;
+ }
+ if (isl_map_fast_is_empty(map2)) {
+ isl_map_free(map1);
+ return map2;
+ }
+
if (map1->n == 1 && map2->n == 1 &&
map1->p[0]->n_div == 0 && map2->p[0]->n_div == 0 &&
isl_dim_equal(map1->dim, map2->dim) &&
return isl_basic_map_from_basic_set(bset, dim);
}
-__isl_give isl_basic_map *isl_basic_map_add(__isl_take isl_basic_map *bmap,
- enum isl_dim_type type, unsigned n)
+__isl_give isl_basic_map *isl_basic_map_insert(__isl_take isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos, unsigned n)
{
struct isl_dim *res_dim;
struct isl_basic_map *res;
struct isl_dim_map *dim_map;
- unsigned total, pos;
+ unsigned total, off;
+ enum isl_dim_type t;
if (n == 0)
return bmap;
if (!bmap)
return NULL;
- res_dim = isl_dim_add(isl_basic_map_get_dim(bmap), type, n);
+ res_dim = isl_dim_insert(isl_basic_map_get_dim(bmap), type, pos, n);
total = isl_basic_map_total_dim(bmap) + n;
dim_map = isl_dim_map_alloc(bmap->ctx, total);
- pos = 0;
- isl_dim_map_dim(dim_map, bmap->dim, isl_dim_param, pos);
- pos += isl_dim_size(res_dim, isl_dim_param);
- isl_dim_map_dim(dim_map, bmap->dim, isl_dim_in, pos);
- pos += isl_dim_size(res_dim, isl_dim_in);
- isl_dim_map_dim(dim_map, bmap->dim, isl_dim_out, pos);
- pos += isl_dim_size(res_dim, isl_dim_out);
- isl_dim_map_div(dim_map, bmap, pos);
+ off = 0;
+ for (t = isl_dim_param; t <= isl_dim_out; ++t) {
+ if (t != type) {
+ isl_dim_map_dim(dim_map, bmap->dim, t, off);
+ } else {
+ unsigned size = isl_basic_map_dim(bmap, t);
+ isl_dim_map_dim_range(dim_map, bmap->dim, t,
+ 0, pos, off);
+ isl_dim_map_dim_range(dim_map, bmap->dim, t,
+ pos, size - pos, off + pos + n);
+ }
+ off += isl_dim_size(res_dim, t);
+ }
+ isl_dim_map_div(dim_map, bmap, off);
res = isl_basic_map_alloc_dim(res_dim,
bmap->n_div, bmap->n_eq, bmap->n_ineq);
return isl_basic_map_finalize(res);
}
+__isl_give isl_basic_map *isl_basic_map_add(__isl_take isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned n)
+{
+ if (!bmap)
+ return NULL;
+ return isl_basic_map_insert(bmap, type,
+ isl_basic_map_dim(bmap, type), n);
+}
+
__isl_give isl_basic_set *isl_basic_set_add(__isl_take isl_basic_set *bset,
enum isl_dim_type type, unsigned n)
{
return NULL;
}
-__isl_give isl_map *isl_map_add(__isl_take isl_map *map,
- enum isl_dim_type type, unsigned n)
+__isl_give isl_map *isl_map_insert(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned pos, unsigned n)
{
int i;
if (!map)
return NULL;
- map->dim = isl_dim_add(map->dim, type, n);
+ map->dim = isl_dim_insert(map->dim, type, pos, n);
if (!map->dim)
goto error;
for (i = 0; i < map->n; ++i) {
- map->p[i] = isl_basic_map_add(map->p[i], type, n);
+ map->p[i] = isl_basic_map_insert(map->p[i], type, pos, n);
if (!map->p[i])
goto error;
}
return NULL;
}
+__isl_give isl_map *isl_map_add(__isl_take isl_map *map,
+ enum isl_dim_type type, unsigned n)
+{
+ if (!map)
+ return NULL;
+ return isl_map_insert(map, type, isl_map_dim(map, type), n);
+}
+
__isl_give isl_set *isl_set_add(__isl_take isl_set *set,
enum isl_dim_type type, unsigned n)
{
return NULL;
}
+__isl_give isl_basic_map *isl_basic_map_move_dims(
+ __isl_take isl_basic_map *bmap,
+ enum isl_dim_type dst_type, unsigned dst_pos,
+ enum isl_dim_type src_type, unsigned src_pos, unsigned n)
+{
+ int i;
+ struct isl_dim_map *dim_map;
+ struct isl_basic_map *res;
+ enum isl_dim_type t;
+ unsigned total, off;
+
+ if (!bmap)
+ return NULL;
+ if (n == 0)
+ return bmap;
+
+ isl_assert(bmap->ctx, src_pos + n <= isl_basic_map_dim(bmap, src_type),
+ goto error);
+
+ if (dst_type == src_type && dst_pos == src_pos)
+ return bmap;
+
+ isl_assert(bmap->ctx, dst_type != src_type, goto error);
+
+ if (pos(bmap->dim, dst_type) + dst_pos ==
+ pos(bmap->dim, src_type) + src_pos +
+ ((src_type < dst_type) ? n : 0)) {
+ bmap = isl_basic_map_cow(bmap);
+ if (!bmap)
+ return NULL;
+
+ bmap->dim = isl_dim_move(bmap->dim, dst_type, dst_pos,
+ src_type, src_pos, n);
+ if (!bmap->dim)
+ goto error;
+
+ bmap = isl_basic_map_finalize(bmap);
+
+ return bmap;
+ }
+
+ total = isl_basic_map_total_dim(bmap);
+ dim_map = isl_dim_map_alloc(bmap->ctx, total);
+
+ off = 0;
+ for (t = isl_dim_param; t <= isl_dim_out; ++t) {
+ unsigned size = isl_dim_size(bmap->dim, t);
+ if (t == dst_type) {
+ isl_dim_map_dim_range(dim_map, bmap->dim, t,
+ 0, dst_pos, off);
+ off += dst_pos;
+ isl_dim_map_dim_range(dim_map, bmap->dim, src_type,
+ src_pos, n, off);
+ off += n;
+ isl_dim_map_dim_range(dim_map, bmap->dim, t,
+ dst_pos, size - dst_pos, off);
+ off += size - dst_pos;
+ } else if (t == src_type) {
+ isl_dim_map_dim_range(dim_map, bmap->dim, t,
+ 0, src_pos, off);
+ off += src_pos;
+ isl_dim_map_dim_range(dim_map, bmap->dim, t,
+ src_pos + n, size - src_pos - n, off);
+ off += size - src_pos - n;
+ } else {
+ isl_dim_map_dim(dim_map, bmap->dim, t, off);
+ off += size;
+ }
+ }
+ isl_dim_map_div(dim_map, bmap, off);
+
+ res = isl_basic_map_alloc_dim(isl_basic_map_get_dim(bmap),
+ bmap->n_div, bmap->n_eq, bmap->n_ineq);
+ bmap = add_constraints_dim_map(res, bmap, dim_map);
+
+ bmap->dim = isl_dim_move(bmap->dim, dst_type, dst_pos,
+ src_type, src_pos, n);
+ if (!bmap->dim)
+ goto error;
+
+ ISL_F_CLR(bmap, ISL_BASIC_MAP_NORMALIZED);
+ bmap = isl_basic_map_gauss(bmap, NULL);
+ bmap = isl_basic_map_finalize(bmap);
+
+ return bmap;
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
+__isl_give isl_basic_set *isl_basic_set_move_dims(__isl_take isl_basic_set *bset,
+ enum isl_dim_type dst_type, unsigned dst_pos,
+ enum isl_dim_type src_type, unsigned src_pos, unsigned n)
+{
+ return (isl_basic_set *)isl_basic_map_move_dims(
+ (isl_basic_map *)bset, dst_type, dst_pos, src_type, src_pos, n);
+}
+
+__isl_give isl_set *isl_set_move_dims(__isl_take isl_set *set,
+ enum isl_dim_type dst_type, unsigned dst_pos,
+ enum isl_dim_type src_type, unsigned src_pos, unsigned n)
+{
+ if (!set)
+ return NULL;
+ isl_assert(set->ctx, dst_type != isl_dim_in, goto error);
+ return (isl_set *)isl_map_move_dims((isl_map *)set, dst_type, dst_pos,
+ src_type, src_pos, n);
+error:
+ isl_set_free(set);
+ return NULL;
+}
+
+__isl_give isl_map *isl_map_move_dims(__isl_take isl_map *map,
+ enum isl_dim_type dst_type, unsigned dst_pos,
+ enum isl_dim_type src_type, unsigned src_pos, unsigned n)
+{
+ int i;
+
+ if (!map)
+ return NULL;
+ if (n == 0)
+ return map;
+
+ isl_assert(map->ctx, src_pos + n <= isl_map_dim(map, src_type),
+ goto error);
+
+ if (dst_type == src_type && dst_pos == src_pos)
+ return map;
+
+ isl_assert(map->ctx, dst_type != src_type, goto error);
+
+ map = isl_map_cow(map);
+ if (!map)
+ return NULL;
+
+ map->dim = isl_dim_move(map->dim, dst_type, dst_pos, src_type, src_pos, n);
+ if (!map->dim)
+ goto error;
+
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_move_dims(map->p[i],
+ dst_type, dst_pos,
+ src_type, src_pos, n);
+ if (!map->p[i])
+ goto error;
+ }
+
+ return map;
+error:
+ isl_map_free(map);
+ return NULL;
+}
+
/* Move the specified dimensions to the last columns right before
* the divs. Don't change the dimension specification of bmap.
* That's the responsibility of the caller.
bmap = move_last(bmap, type, first, n);
bmap = isl_basic_map_cow(bmap);
+ if (!bmap)
+ return NULL;
row_size = 1 + isl_dim_total(bmap->dim) + bmap->extra;
old = bmap->block2.data;
(bmap->extra + n) * (1 + row_size));
if (!bmap->block2.data)
goto error;
- new_div = isl_alloc_array(ctx, isl_int *, bmap->extra + n);
+ new_div = isl_alloc_array(bmap->ctx, isl_int *, bmap->extra + n);
if (!new_div)
goto error;
for (i = 0; i < n; ++i) {
return map;
error:
isl_map_free(map);
- return map;
+ return NULL;
}
/* Turn the n dimensions of type type, starting at first
return NULL;
}
+__isl_give isl_set *isl_set_sum(__isl_take isl_set *set1,
+ __isl_take isl_set *set2)
+{
+ return (isl_set *)isl_map_sum((isl_map *)set1, (isl_map *)set2);
+}
+
/* Given a basic map A -> f(A), construct A -> -f(A).
*/
struct isl_basic_map *isl_basic_map_neg(struct isl_basic_map *bmap)
return NULL;
}
+__isl_give isl_set *isl_set_neg(__isl_take isl_set *set)
+{
+ return (isl_set *)isl_map_neg((isl_map *)set);
+}
+
/* Given a basic map A -> f(A) and an integer d, construct a basic map
* A -> floor(f(A)/d).
*/
return NULL;
}
+/* Add a constraint to "bmap" expressing i_pos <= o_pos
+ */
+static __isl_give isl_basic_map *var_less_or_equal(
+ __isl_take isl_basic_map *bmap, unsigned pos)
+{
+ int i;
+ unsigned nparam;
+ unsigned n_in;
+
+ i = isl_basic_map_alloc_inequality(bmap);
+ if (i < 0)
+ goto error;
+ nparam = isl_basic_map_n_param(bmap);
+ n_in = isl_basic_map_n_in(bmap);
+ isl_seq_clr(bmap->ineq[i], 1 + isl_basic_map_total_dim(bmap));
+ isl_int_set_si(bmap->ineq[i][1+nparam+pos], -1);
+ isl_int_set_si(bmap->ineq[i][1+nparam+n_in+pos], 1);
+ return isl_basic_map_finalize(bmap);
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
/* Add a constraints to "bmap" expressing i_pos > o_pos
*/
static struct isl_basic_map *var_more(struct isl_basic_map *bmap, unsigned pos)
return NULL;
}
+/* Add a constraint to "bmap" expressing i_pos >= o_pos
+ */
+static __isl_give isl_basic_map *var_more_or_equal(
+ __isl_take isl_basic_map *bmap, unsigned pos)
+{
+ int i;
+ unsigned nparam;
+ unsigned n_in;
+
+ i = isl_basic_map_alloc_inequality(bmap);
+ if (i < 0)
+ goto error;
+ nparam = isl_basic_map_n_param(bmap);
+ n_in = isl_basic_map_n_in(bmap);
+ isl_seq_clr(bmap->ineq[i], 1 + isl_basic_map_total_dim(bmap));
+ isl_int_set_si(bmap->ineq[i][1+nparam+pos], 1);
+ isl_int_set_si(bmap->ineq[i][1+nparam+n_in+pos], -1);
+ return isl_basic_map_finalize(bmap);
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
struct isl_basic_map *isl_basic_map_equal(struct isl_dim *dim, unsigned n_equal)
{
int i;
return isl_basic_map_finalize(bmap);
}
-/* Return a relation on pairs of sets of dimension "dim" expressing i_pos < o_pos
+/* Return a relation on of dimension "dim" expressing i_[0..pos] << o_[0..pos]
*/
struct isl_basic_map *isl_basic_map_less_at(struct isl_dim *dim, unsigned pos)
{
return isl_basic_map_finalize(bmap);
}
+/* Return a relation on of dimension "dim" expressing i_[0..pos] <<= o_[0..pos]
+ */
+__isl_give isl_basic_map *isl_basic_map_less_or_equal_at(
+ __isl_take isl_dim *dim, unsigned pos)
+{
+ int i;
+ isl_basic_map *bmap;
+
+ bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
+ for (i = 0; i < pos; ++i)
+ bmap = var_equal(bmap, i);
+ bmap = var_less_or_equal(bmap, pos);
+ return isl_basic_map_finalize(bmap);
+}
+
/* Return a relation on pairs of sets of dimension "dim" expressing i_pos > o_pos
*/
struct isl_basic_map *isl_basic_map_more_at(struct isl_dim *dim, unsigned pos)
return isl_basic_map_finalize(bmap);
}
-static __isl_give isl_map *map_lex_lte(__isl_take isl_dim *dims, int equal)
+/* Return a relation on of dimension "dim" expressing i_[0..pos] >>= o_[0..pos]
+ */
+__isl_give isl_basic_map *isl_basic_map_more_or_equal_at(
+ __isl_take isl_dim *dim, unsigned pos)
+{
+ int i;
+ isl_basic_map *bmap;
+
+ bmap = isl_basic_map_alloc_dim(dim, 0, pos, 1);
+ for (i = 0; i < pos; ++i)
+ bmap = var_equal(bmap, i);
+ bmap = var_more_or_equal(bmap, pos);
+ return isl_basic_map_finalize(bmap);
+}
+
+static __isl_give isl_map *map_lex_lte_first(__isl_take isl_dim *dims,
+ unsigned n, int equal)
{
struct isl_map *map;
- unsigned dim;
int i;
- if (!dims)
- return NULL;
- dim = dims->n_out;
- map = isl_map_alloc_dim(isl_dim_copy(dims), dim + equal, ISL_MAP_DISJOINT);
+ if (n == 0 && equal)
+ return isl_map_universe(dims);
- for (i = 0; i < dim; ++i)
+ map = isl_map_alloc_dim(isl_dim_copy(dims), n, ISL_MAP_DISJOINT);
+
+ for (i = 0; i + 1 < n; ++i)
map = isl_map_add_basic_map(map,
isl_basic_map_less_at(isl_dim_copy(dims), i));
- if (equal)
- map = isl_map_add_basic_map(map,
- isl_basic_map_equal(isl_dim_copy(dims), dim));
+ if (n > 0) {
+ if (equal)
+ map = isl_map_add_basic_map(map,
+ isl_basic_map_less_or_equal_at(dims, n - 1));
+ else
+ map = isl_map_add_basic_map(map,
+ isl_basic_map_less_at(dims, n - 1));
+ } else
+ isl_dim_free(dims);
- isl_dim_free(dims);
return map;
}
+static __isl_give isl_map *map_lex_lte(__isl_take isl_dim *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)
+{
+ return map_lex_lte_first(dim, n, 0);
+}
+
+__isl_give isl_map *isl_map_lex_le_first(__isl_take isl_dim *dim, unsigned n)
+{
+ return map_lex_lte_first(dim, n, 1);
+}
+
__isl_give isl_map *isl_map_lex_lt(__isl_take isl_dim *set_dim)
{
return map_lex_lte(isl_dim_map(set_dim), 0);
return map_lex_lte(isl_dim_map(set_dim), 1);
}
-static __isl_give isl_map *map_lex_gte(__isl_take isl_dim *dims, int equal)
+static __isl_give isl_map *map_lex_gte_first(__isl_take isl_dim *dims,
+ unsigned n, int equal)
{
struct isl_map *map;
- unsigned dim;
int i;
- if (!dims)
- return NULL;
- dim = dims->n_out;
- map = isl_map_alloc_dim(isl_dim_copy(dims), dim + equal, ISL_MAP_DISJOINT);
+ if (n == 0 && equal)
+ return isl_map_universe(dims);
- for (i = 0; i < dim; ++i)
+ map = isl_map_alloc_dim(isl_dim_copy(dims), n, ISL_MAP_DISJOINT);
+
+ for (i = 0; i + 1 < n; ++i)
map = isl_map_add_basic_map(map,
isl_basic_map_more_at(isl_dim_copy(dims), i));
- if (equal)
- map = isl_map_add_basic_map(map,
- isl_basic_map_equal(isl_dim_copy(dims), dim));
+ if (n > 0) {
+ if (equal)
+ map = isl_map_add_basic_map(map,
+ isl_basic_map_more_or_equal_at(dims, n - 1));
+ else
+ map = isl_map_add_basic_map(map,
+ isl_basic_map_more_at(dims, n - 1));
+ } else
+ isl_dim_free(dims);
- isl_dim_free(dims);
return map;
}
+static __isl_give isl_map *map_lex_gte(__isl_take isl_dim *dims, int equal)
+{
+ if (!dims)
+ return NULL;
+ return map_lex_gte_first(dims, dims->n_out, equal);
+}
+
+__isl_give isl_map *isl_map_lex_gt_first(__isl_take isl_dim *dim, unsigned n)
+{
+ return map_lex_gte_first(dim, n, 0);
+}
+
+__isl_give isl_map *isl_map_lex_ge_first(__isl_take isl_dim *dim, unsigned n)
+{
+ return map_lex_gte_first(dim, n, 1);
+}
+
__isl_give isl_map *isl_map_lex_gt(__isl_take isl_dim *set_dim)
{
return map_lex_gte(isl_dim_map(set_dim), 0);
*
* f - m d >= n
*/
-int isl_basic_map_add_div_constraints(struct isl_basic_map *bmap, unsigned div)
+int isl_basic_map_add_div_constraints_var(__isl_keep isl_basic_map *bmap,
+ unsigned pos, isl_int *div)
{
int i, j;
unsigned total = isl_basic_map_total_dim(bmap);
- unsigned div_pos = 1 + total - bmap->n_div + div;
i = isl_basic_map_alloc_inequality(bmap);
if (i < 0)
return -1;
- isl_seq_cpy(bmap->ineq[i], bmap->div[div]+1, 1+total);
- isl_int_neg(bmap->ineq[i][div_pos], bmap->div[div][0]);
+ isl_seq_cpy(bmap->ineq[i], div + 1, 1 + total);
+ isl_int_neg(bmap->ineq[i][1 + pos], div[0]);
j = isl_basic_map_alloc_inequality(bmap);
if (j < 0)
return -1;
isl_seq_neg(bmap->ineq[j], bmap->ineq[i], 1 + total);
- isl_int_add(bmap->ineq[j][0], bmap->ineq[j][0], bmap->ineq[j][div_pos]);
+ isl_int_add(bmap->ineq[j][0], bmap->ineq[j][0], bmap->ineq[j][1 + pos]);
isl_int_sub_ui(bmap->ineq[j][0], bmap->ineq[j][0], 1);
return j;
}
+int isl_basic_set_add_div_constraints_var(__isl_keep isl_basic_set *bset,
+ unsigned pos, isl_int *div)
+{
+ return isl_basic_map_add_div_constraints_var((isl_basic_map *)bset,
+ pos, div);
+}
+
+int isl_basic_map_add_div_constraints(struct isl_basic_map *bmap, unsigned div)
+{
+ unsigned total = isl_basic_map_total_dim(bmap);
+ unsigned div_pos = total - bmap->n_div + div;
+
+ return isl_basic_map_add_div_constraints_var(bmap, div_pos,
+ bmap->div[div]);
+}
+
struct isl_basic_set *isl_basic_map_underlying_set(
struct isl_basic_map *bmap)
{
return (struct isl_set *)isl_map_underlying_set((struct isl_map *)set);
}
+static __isl_give isl_basic_map *isl_basic_map_reset_dim(
+ __isl_take isl_basic_map *bmap, __isl_take isl_dim *dim)
+{
+ bmap = isl_basic_map_cow(bmap);
+ if (!bmap || !dim)
+ goto error;
+
+ isl_dim_free(bmap->dim);
+ bmap->dim = dim;
+
+ return bmap;
+error:
+ isl_basic_map_free(bmap);
+ isl_dim_free(dim);
+ return NULL;
+}
+
+static __isl_give isl_basic_set *isl_basic_set_reset_dim(
+ __isl_take isl_basic_set *bset, __isl_take isl_dim *dim)
+{
+ return (isl_basic_set *)isl_basic_map_reset_dim((isl_basic_map *)bset,
+ dim);
+}
+
+__isl_give isl_map *isl_map_reset_dim(__isl_take isl_map *map,
+ __isl_take isl_dim *dim)
+{
+ int i;
+
+ map = isl_map_cow(map);
+ if (!map || !dim)
+ goto error;
+
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_reset_dim(map->p[i],
+ isl_dim_copy(dim));
+ if (!map->p[i])
+ goto error;
+ }
+ isl_dim_free(map->dim);
+ map->dim = dim;
+
+ return map;
+error:
+ isl_map_free(map);
+ isl_dim_free(dim);
+ return NULL;
+}
+
+__isl_give isl_set *isl_set_reset_dim(__isl_take isl_set *set,
+ __isl_take isl_dim *dim)
+{
+ return (struct isl_set *) isl_map_reset_dim((struct isl_map *)set, dim);
+}
+
struct isl_basic_set *isl_basic_map_domain(struct isl_basic_map *bmap)
{
+ isl_dim *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));
+
n_in = isl_basic_map_n_in(bmap);
n_out = isl_basic_map_n_out(bmap);
domain = isl_basic_set_from_basic_map(bmap);
- return isl_basic_set_project_out(domain, isl_dim_set, n_in, n_out);
+ domain = isl_basic_set_project_out(domain, isl_dim_set, n_in, n_out);
+
+ domain = isl_basic_set_reset_dim(domain, dim);
+
+ return domain;
}
struct isl_basic_set *isl_basic_map_range(struct isl_basic_map *bmap)
if (!map)
goto error;
+ if (isl_map_dim(map, isl_dim_in) == 0)
+ return (isl_set *)map;
+
map = isl_map_cow(map);
if (!map)
goto error;
set = (struct isl_set *) map;
- if (set->dim->n_in != 0) {
- set->dim = isl_dim_drop_inputs(set->dim, 0, set->dim->n_in);
- if (!set->dim)
- goto error;
- }
+ set->dim = isl_dim_drop_inputs(set->dim, 0, set->dim->n_in);
+ if (!set->dim)
+ goto error;
for (i = 0; i < map->n; ++i) {
set->p[i] = isl_basic_map_range(map->p[i]);
if (!set->p[i])
__isl_give isl_map *isl_map_from_domain(__isl_take isl_set *set)
{
- return isl_map_reverse(isl_map_from_range(set));;
+ return isl_map_reverse(isl_map_from_range(set));
}
__isl_give isl_map *isl_map_from_domain_and_range(__isl_take isl_set *domain,
__isl_take isl_set *range)
{
- return isl_map_product(isl_map_from_domain(domain),
- isl_map_from_range(range));
+ return isl_map_apply_range(isl_map_from_domain(domain),
+ isl_map_from_range(range));
}
struct isl_set *isl_set_from_map(struct isl_map *map)
return (isl_set *)isl_map_lexmax((isl_map *)set);
}
-static struct isl_map *isl_map_reset_dim(struct isl_map *map,
- struct isl_dim *dim)
-{
- int i;
-
- if (!map || !dim)
- goto error;
-
- for (i = 0; i < map->n; ++i) {
- isl_dim_free(map->p[i]->dim);
- map->p[i]->dim = isl_dim_copy(dim);
- }
- isl_dim_free(map->dim);
- map->dim = dim;
-
- return map;
-error:
- isl_map_free(map);
- isl_dim_free(dim);
- return NULL;
-}
-
-static struct isl_set *isl_set_reset_dim(struct isl_set *set,
- struct isl_dim *dim)
-{
- return (struct isl_set *) isl_map_reset_dim((struct isl_map *)set, dim);
-}
-
/* Apply a preimage specified by "mat" on the parameters of "bset".
* bset is assumed to have only parameters and divs.
*/
}
isl_mat_free(eq);
+ bset = isl_basic_set_gauss(bset, NULL);
+ bset = isl_basic_set_finalize(bset);
+
return bset;
error:
isl_mat_free(eq);
0, 1 + nparam);
eq = isl_mat_cow(eq);
T = isl_mat_variable_compression(isl_mat_copy(eq), &T2);
+ if (T && T->n_col == 0) {
+ isl_mat_free(T);
+ isl_mat_free(T2);
+ isl_mat_free(eq);
+ bset = isl_basic_set_set_to_empty(bset);
+ return isl_set_from_basic_set(bset);
+ }
bset = basic_set_parameter_preimage(bset, T);
set = isl_basic_set_lexmin(bset);
*/
struct isl_basic_set *isl_basic_map_deltas(struct isl_basic_map *bmap)
{
+ isl_dim *dims;
struct isl_basic_set *bset;
unsigned dim;
unsigned nparam;
isl_assert(bmap->ctx, dim == isl_basic_map_n_out(bmap), goto error);
bset = isl_basic_set_from_basic_map(bmap);
bset = isl_basic_set_cow(bset);
- bset = isl_basic_set_extend(bset, nparam, 3*dim, 0, dim, 0);
+ dims = isl_basic_set_get_dim(bset);
+ dims = isl_dim_add(dims, isl_dim_set, dim);
+ bset = isl_basic_set_extend_dim(bset, dims, 0, dim, 0);
bset = isl_basic_set_swap_vars(bset, 2*dim);
for (i = 0; i < dim; ++i) {
int j = isl_basic_map_alloc_equality(
struct isl_set *isl_map_deltas(struct isl_map *map)
{
int i;
+ isl_dim *dim;
struct isl_set *result;
if (!map)
return NULL;
isl_assert(map->ctx, isl_map_n_in(map) == isl_map_n_out(map), goto error);
- result = isl_set_alloc(map->ctx, isl_map_n_param(map),
- isl_map_n_in(map), map->n, map->flags);
+ dim = isl_map_get_dim(map);
+ dim = isl_dim_domain(dim);
+ result = isl_set_alloc_dim(dim, map->n, map->flags);
if (!result)
goto error;
for (i = 0; i < map->n; ++i)
return NULL;
}
+__isl_give isl_set *isl_set_split_dims(__isl_take isl_set *set,
+ enum isl_dim_type type, unsigned first, unsigned n)
+{
+ int i;
+ isl_basic_set *nonneg = NULL;
+ isl_basic_set *neg = NULL;
+
+ if (!set)
+ return NULL;
+ if (n == 0)
+ return set;
+
+ isl_assert(set->ctx, first + n <= isl_set_dim(set, type), goto error);
+
+ for (i = 0; i < n; ++i) {
+ int k;
+
+ neg = NULL;
+ nonneg = isl_basic_set_alloc_dim(isl_set_get_dim(set), 0, 0, 1);
+ k = isl_basic_set_alloc_inequality(nonneg);
+ if (k < 0)
+ goto error;
+ isl_seq_clr(nonneg->ineq[k], 1 + isl_basic_set_total_dim(nonneg));
+ isl_int_set_si(nonneg->ineq[k][pos(set->dim, type) + first + i], 1);
+
+ neg = isl_basic_set_alloc_dim(isl_set_get_dim(set), 0, 0, 1);
+ k = isl_basic_set_alloc_inequality(neg);
+ if (k < 0)
+ goto error;
+ isl_seq_clr(neg->ineq[k], 1 + isl_basic_set_total_dim(neg));
+ isl_int_set_si(neg->ineq[k][0], -1);
+ isl_int_set_si(neg->ineq[k][pos(set->dim, type) + first + i], -1);
+
+ set = isl_set_intersect(set, isl_basic_set_union(nonneg, neg));
+ }
+
+ return set;
+error:
+ isl_basic_set_free(nonneg);
+ isl_basic_set_free(neg);
+ isl_set_free(set);
+ return NULL;
+}
+
int isl_set_is_equal(struct isl_set *set1, struct isl_set *set2)
{
return isl_map_is_equal((struct isl_map *)set1, (struct isl_map *)set2);
int isl_map_fast_is_empty(struct isl_map *map)
{
- return map->n == 0;
+ return map ? map->n == 0 : -1;
}
int isl_set_fast_is_empty(struct isl_set *set)
{
- return set->n == 0;
+ return set ? set->n == 0 : -1;
}
int isl_set_is_empty(struct isl_set *set)
int isl_map_fast_is_universe(__isl_keep isl_map *map)
{
+ int i;
+
if (!map)
return -1;
- return map->n == 1 && isl_basic_map_is_universe(map->p[0]);
+ for (i = 0; i < map->n; ++i) {
+ int r = isl_basic_map_is_universe(map->p[i]);
+ if (r < 0 || r)
+ return r;
+ }
+
+ return 0;
}
int isl_set_fast_is_universe(__isl_keep isl_set *set)
if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL)) {
struct isl_basic_map *copy = isl_basic_map_copy(bmap);
- copy = isl_basic_map_convex_hull(copy);
+ copy = isl_basic_map_remove_redundancies(copy);
empty = ISL_F_ISSET(copy, ISL_BASIC_MAP_EMPTY);
isl_basic_map_free(copy);
return empty;
struct isl_basic_map *isl_basic_map_order_divs(struct isl_basic_map *bmap)
{
int i;
- unsigned off = isl_dim_total(bmap->dim);
+ unsigned off;
+
+ if (!bmap)
+ return NULL;
+
+ off = isl_dim_total(bmap->dim);
for (i = 0; i < bmap->n_div; ++i) {
int pos;
return NULL;
}
+__isl_give isl_basic_set *isl_basic_set_sort_constraints(
+ __isl_take isl_basic_set *bset)
+{
+ return (struct isl_basic_set *)isl_basic_map_sort_constraints(
+ (struct isl_basic_map *)bset);
+}
+
struct isl_basic_map *isl_basic_map_normalize(struct isl_basic_map *bmap)
{
if (!bmap)
return NULL;
if (ISL_F_ISSET(bmap, ISL_BASIC_MAP_NORMALIZED))
return bmap;
- bmap = isl_basic_map_convex_hull(bmap);
+ bmap = isl_basic_map_remove_redundancies(bmap);
bmap = isl_basic_map_sort_constraints(bmap);
ISL_F_SET(bmap, ISL_BASIC_MAP_NORMALIZED);
return bmap;
(struct isl_basic_map *)bset);
}
-static int isl_basic_map_fast_cmp(const struct isl_basic_map *bmap1,
- const struct isl_basic_map *bmap2)
+int isl_basic_map_fast_cmp(const __isl_keep isl_basic_map *bmap1,
+ const __isl_keep isl_basic_map *bmap2)
{
int i, cmp;
unsigned total;
return 0;
}
-static int isl_basic_map_fast_is_equal(struct isl_basic_map *bmap1,
- struct isl_basic_map *bmap2)
+int isl_basic_map_fast_is_equal(__isl_keep isl_basic_map *bmap1,
+ __isl_keep isl_basic_map *bmap2)
{
return isl_basic_map_fast_cmp(bmap1, bmap2) == 0;
}
+int isl_basic_set_fast_is_equal(__isl_keep isl_basic_set *bset1,
+ __isl_keep isl_basic_set *bset2)
+{
+ return isl_basic_map_fast_is_equal((isl_basic_map *)bset1,
+ (isl_basic_map *)bset2);
+}
+
static int qsort_bmap_cmp(const void *p1, const void *p2)
{
const struct isl_basic_map *bmap1 = *(const struct isl_basic_map **)p1;
return 0;
}
+__isl_give isl_basic_set *isl_basic_set_lift(__isl_take isl_basic_set *bset)
+{
+ struct isl_dim *dim;
+
+ if (!bset)
+ return NULL;
+
+ if (bset->n_div == 0)
+ return bset;
+
+ bset = isl_basic_set_cow(bset);
+ if (!bset)
+ return NULL;
+
+ dim = isl_basic_set_get_dim(bset);
+ dim = isl_dim_add(dim, isl_dim_set, bset->n_div);
+ if (!dim)
+ goto error;
+ isl_dim_free(bset->dim);
+ bset->dim = dim;
+ bset->n_div = 0;
+
+ bset = isl_basic_set_finalize(bset);
+
+ return bset;
+error:
+ isl_basic_set_free(bset);
+ return NULL;
+}
+
+__isl_give isl_set *isl_set_lift(__isl_take isl_set *set)
+{
+ int i;
+ struct isl_dim *dim;
+ unsigned n_div;
+
+ set = isl_set_align_divs(set);
+
+ if (!set)
+ return NULL;
+ if (set->n == 0 || set->p[0]->n_div == 0)
+ return set;
+
+ set = isl_set_cow(set);
+ if (!set)
+ return NULL;
+
+ n_div = set->p[0]->n_div;
+ dim = isl_set_get_dim(set);
+ dim = isl_dim_add(dim, isl_dim_set, n_div);
+ if (!dim)
+ goto error;
+ isl_dim_free(set->dim);
+ set->dim = dim;
+
+ for (i = 0; i < set->n; ++i) {
+ set->p[i] = isl_basic_set_lift(set->p[i]);
+ if (!set->p[i])
+ goto error;
+ }
+
+ return set;
+error:
+ isl_set_free(set);
+ return NULL;
+}
+
__isl_give isl_map *isl_set_lifting(__isl_take isl_set *set)
{
struct isl_dim *dim;
return size;
}
+
+int isl_basic_map_dim_is_bounded(__isl_keep isl_basic_map *bmap,
+ enum isl_dim_type type, unsigned pos)
+{
+ int i;
+ int lower, upper;
+
+ if (!bmap)
+ return -1;
+
+ isl_assert(bmap->ctx, pos < isl_basic_map_dim(bmap, type), return -1);
+
+ pos += isl_basic_map_offset(bmap, type);
+
+ for (i = 0; i < bmap->n_eq; ++i)
+ if (!isl_int_is_zero(bmap->eq[i][pos]))
+ return 1;
+
+ lower = upper = 0;
+ for (i = 0; i < bmap->n_ineq; ++i) {
+ int sgn = isl_int_sgn(bmap->ineq[i][pos]);
+ if (sgn > 0)
+ lower = 1;
+ if (sgn < 0)
+ upper = 1;
+ }
+
+ return lower && upper;
+}
+
+int isl_map_dim_is_bounded(__isl_keep isl_map *map,
+ enum isl_dim_type type, unsigned pos)
+{
+ int i;
+
+ if (!map)
+ return -1;
+
+ for (i = 0; i < map->n; ++i) {
+ int bounded;
+ bounded = isl_basic_map_dim_is_bounded(map->p[i], type, pos);
+ if (bounded < 0 || !bounded)
+ return bounded;
+ }
+
+ return 1;
+}
+
+/* Return 1 if the specified dim is involved in both an upper bound
+ * and a lower bound.
+ */
+int isl_set_dim_is_bounded(__isl_keep isl_set *set,
+ enum isl_dim_type type, unsigned pos)
+{
+ return isl_map_dim_is_bounded((isl_map *)set, type, pos);
+}
+
+/* For each of the "n" variables starting at "first", determine
+ * the sign of the variable and put the results in the first "n"
+ * elements of the array "signs".
+ * Sign
+ * 1 means that the variable is non-negative
+ * -1 means that the variable is non-positive
+ * 0 means the variable attains both positive and negative values.
+ */
+int isl_basic_set_vars_get_sign(__isl_keep isl_basic_set *bset,
+ unsigned first, unsigned n, int *signs)
+{
+ isl_vec *bound = NULL;
+ struct isl_tab *tab = NULL;
+ struct isl_tab_undo *snap;
+ int i;
+
+ if (!bset || !signs)
+ return -1;
+
+ bound = isl_vec_alloc(bset->ctx, 1 + isl_basic_set_total_dim(bset));
+ tab = isl_tab_from_basic_set(bset);
+ if (!bound || !tab)
+ goto error;
+
+ isl_seq_clr(bound->el, bound->size);
+ isl_int_set_si(bound->el[0], -1);
+
+ snap = isl_tab_snap(tab);
+ for (i = 0; i < n; ++i) {
+ int empty;
+
+ isl_int_set_si(bound->el[1 + first + i], -1);
+ if (isl_tab_add_ineq(tab, bound->el) < 0)
+ goto error;
+ empty = tab->empty;
+ isl_int_set_si(bound->el[1 + first + i], 0);
+ if (isl_tab_rollback(tab, snap) < 0)
+ goto error;
+
+ if (empty) {
+ signs[i] = 1;
+ continue;
+ }
+
+ isl_int_set_si(bound->el[1 + first + i], 1);
+ if (isl_tab_add_ineq(tab, bound->el) < 0)
+ goto error;
+ empty = tab->empty;
+ isl_int_set_si(bound->el[1 + first + i], 0);
+ if (isl_tab_rollback(tab, snap) < 0)
+ goto error;
+
+ signs[i] = empty ? -1 : 0;
+ }
+
+ isl_tab_free(tab);
+ isl_vec_free(bound);
+ return 0;
+error:
+ isl_tab_free(tab);
+ isl_vec_free(bound);
+ return -1;
+}
+
+int isl_basic_set_dims_get_sign(__isl_keep isl_basic_set *bset,
+ enum isl_dim_type type, unsigned first, unsigned n, int *signs)
+{
+ if (!bset || !signs)
+ return -1;
+ isl_assert(bset->ctx, first + n <= isl_basic_set_dim(bset, type),
+ return -1);
+
+ first += pos(bset->dim, type) - 1;
+ return isl_basic_set_vars_get_sign(bset, first, n, signs);
+}
+
+/* Check if the given map is single-valued.
+ * We simply compute
+ *
+ * M \circ M^-1
+ *
+ * and check if the result is a subset of the identity mapping.
+ */
+int isl_map_is_single_valued(__isl_keep isl_map *map)
+{
+ isl_map *test;
+ isl_map *id;
+ int sv;
+
+ test = isl_map_reverse(isl_map_copy(map));
+ test = isl_map_apply_range(test, isl_map_copy(map));
+
+ id = isl_map_identity(isl_dim_range(isl_map_get_dim(map)));
+
+ sv = isl_map_is_subset(test, id);
+
+ isl_map_free(test);
+ isl_map_free(id);
+
+ return sv;
+}
+
+int isl_map_is_bijective(__isl_keep isl_map *map)
+{
+ int sv;
+
+ sv = isl_map_is_single_valued(map);
+ if (sv < 0 || !sv)
+ return sv;
+
+ map = isl_map_copy(map);
+ map = isl_map_reverse(map);
+ sv = isl_map_is_single_valued(map);
+ isl_map_free(map);
+
+ return sv;
+}
+
+int isl_set_is_singleton(__isl_keep isl_set *set)
+{
+ return isl_map_is_single_valued((isl_map *)set);
+}
+
+int isl_map_is_translation(__isl_keep isl_map *map)
+{
+ int ok;
+ isl_set *delta;
+
+ delta = isl_map_deltas(isl_map_copy(map));
+ ok = isl_set_is_singleton(delta);
+ isl_set_free(delta);
+
+ return ok;
+}
+
+static int unique(isl_int *p, unsigned pos, unsigned len)
+{
+ if (isl_seq_first_non_zero(p, pos) != -1)
+ return 0;
+ if (isl_seq_first_non_zero(p + pos + 1, len - pos - 1) != -1)
+ return 0;
+ return 1;
+}
+
+int isl_basic_set_is_box(__isl_keep isl_basic_set *bset)
+{
+ int i, j;
+ unsigned nvar;
+ unsigned ovar;
+
+ if (!bset)
+ return -1;
+
+ if (isl_basic_set_dim(bset, isl_dim_div) != 0)
+ return 0;
+
+ nvar = isl_basic_set_dim(bset, isl_dim_set);
+ ovar = isl_dim_offset(bset->dim, isl_dim_set);
+ for (j = 0; j < nvar; ++j) {
+ int lower = 0, upper = 0;
+ for (i = 0; i < bset->n_eq; ++i) {
+ if (isl_int_is_zero(bset->eq[i][1 + ovar + j]))
+ continue;
+ if (!unique(bset->eq[i] + 1 + ovar, j, nvar))
+ return 0;
+ break;
+ }
+ if (i < bset->n_eq)
+ continue;
+ for (i = 0; i < bset->n_ineq; ++i) {
+ if (isl_int_is_zero(bset->ineq[i][1 + ovar + j]))
+ continue;
+ if (!unique(bset->ineq[i] + 1 + ovar, j, nvar))
+ return 0;
+ if (isl_int_is_pos(bset->ineq[i][1 + ovar + j]))
+ lower = 1;
+ else
+ upper = 1;
+ }
+ if (!lower || !upper)
+ return 0;
+ }
+
+ return 1;
+}
+
+int isl_set_is_box(__isl_keep isl_set *set)
+{
+ if (!set)
+ return -1;
+ if (set->n != 1)
+ return 0;
+
+ return isl_basic_set_is_box(set->p[0]);
+}