#include "isl_lp.h"
#include "isl_map.h"
#include "isl_map_private.h"
-#include "isl_mat.h"
+#include <isl_mat_private.h>
#include "isl_set.h"
#include "isl_seq.h"
#include "isl_equalities.h"
(struct isl_basic_map **)bset, c, opt_n, opt_d);
}
-/* Compute the convex hull of a basic map, by removing the redundant
+/* Remove redundant
* constraints. If the minimal value along the normal of a constraint
* is the same if the constraint is removed, then the constraint is redundant.
*
* corresponding equality and the checked if the dimension was that
* of a facet.
*/
-struct isl_basic_map *isl_basic_map_convex_hull(struct isl_basic_map *bmap)
+__isl_give isl_basic_map *isl_basic_map_remove_redundancies(
+ __isl_take isl_basic_map *bmap)
{
struct isl_tab *tab;
return bmap;
tab = isl_tab_from_basic_map(bmap);
- tab = isl_tab_detect_implicit_equalities(tab);
+ if (isl_tab_detect_implicit_equalities(tab) < 0)
+ goto error;
if (isl_tab_detect_redundant(tab) < 0)
goto error;
bmap = isl_basic_map_update_from_tab(bmap, tab);
return NULL;
}
-struct isl_basic_set *isl_basic_set_convex_hull(struct isl_basic_set *bset)
+__isl_give isl_basic_set *isl_basic_set_remove_redundancies(
+ __isl_take isl_basic_set *bset)
{
return (struct isl_basic_set *)
- isl_basic_map_convex_hull((struct isl_basic_map *)bset);
+ isl_basic_map_remove_redundancies((struct isl_basic_map *)bset);
}
/* Check if the set set is bound in the direction of the affine
int i;
unsigned dim;
+ if (!bset)
+ return NULL;
+
if (ISL_F_ISSET(bset, ISL_BASIC_SET_EMPTY))
return bset;
isl_int *facet, isl_int *ridge)
{
int i;
+ isl_ctx *ctx;
struct isl_mat *T = NULL;
struct isl_basic_set *lp = NULL;
struct isl_vec *obj;
isl_int num, den;
unsigned dim;
+ if (!set)
+ return NULL;
+ ctx = set->ctx;
set = isl_set_copy(set);
set = isl_set_set_rational(set);
dim = 1 + isl_set_n_dim(set);
- T = isl_mat_alloc(set->ctx, 3, dim);
+ T = isl_mat_alloc(ctx, 3, dim);
if (!T)
goto error;
isl_int_set_si(T->row[0][0], 1);
if (!set)
goto error;
lp = wrap_constraints(set);
- obj = isl_vec_alloc(set->ctx, 1 + dim*set->n);
+ obj = isl_vec_alloc(ctx, 1 + dim*set->n);
if (!obj)
goto error;
isl_int_set_si(obj->block.data[0], 0);
isl_int_init(num);
isl_int_init(den);
res = isl_basic_set_solve_lp(lp, 0,
- obj->block.data, set->ctx->one, &num, &den, NULL);
+ obj->block.data, ctx->one, &num, &den, NULL);
if (res == isl_lp_ok) {
isl_int_neg(num, num);
isl_seq_combine(facet, num, facet, den, ridge, dim);
+ isl_seq_normalize(ctx, facet, dim);
}
isl_int_clear(num);
isl_int_clear(den);
isl_vec_free(obj);
isl_basic_set_free(lp);
isl_set_free(set);
- isl_assert(set->ctx, res == isl_lp_ok || res == isl_lp_unbounded,
+ if (res == isl_lp_error)
+ return NULL;
+ isl_assert(ctx, res == isl_lp_ok || res == isl_lp_unbounded,
return NULL);
return facet;
error:
{
struct isl_set *slice = NULL;
struct isl_basic_set *face = NULL;
- struct isl_mat *m, *U, *Q;
int i;
unsigned dim = isl_set_n_dim(set);
int is_bound;
isl_seq_clr(bounds->row[0], dim);
isl_int_set_si(bounds->row[0][1 + dim - 1], 1);
is_bound = uset_is_bound(set, bounds->row[0], 1 + dim);
- isl_assert(set->ctx, is_bound == 1, goto error);
+ if (is_bound < 0)
+ goto error;
+ isl_assert(set->ctx, is_bound, goto error);
isl_seq_normalize(set->ctx, bounds->row[0], 1 + dim);
bounds->n_row = 1;
set = isl_set_preimage(set, U);
facet = uset_convex_hull_wrap_bounded(set);
facet = isl_basic_set_preimage(facet, Q);
- isl_assert(ctx, facet->n_eq == 0, goto error);
+ if (facet)
+ isl_assert(ctx, facet->n_eq == 0, goto error);
return facet;
error:
isl_basic_set_free(facet);
hull_facet = isl_basic_set_add_equality(hull_facet, hull->ineq[i]);
hull_facet = isl_basic_set_gauss(hull_facet, NULL);
hull_facet = isl_basic_set_normalize_constraints(hull_facet);
- if (!facet)
+ if (!facet || !hull_facet)
goto error;
hull = isl_basic_set_cow(hull);
hull = isl_basic_set_extend_dim(hull,
isl_dim_copy(hull->dim), 0, 0, facet->n_ineq);
+ if (!hull)
+ goto error;
for (j = 0; j < facet->n_ineq; ++j) {
for (f = 0; f < hull_facet->n_ineq; ++f)
if (isl_seq_eq(facet->ineq[j],
static struct isl_set *set_project_out(struct isl_ctx *ctx,
struct isl_set *set, unsigned n)
{
- return isl_set_remove_dims(set, isl_set_n_dim(set) - n, n);
+ return isl_set_remove_dims(set, isl_dim_set, isl_set_n_dim(set) - n, n);
}
static struct isl_basic_set *convex_hull_0d(struct isl_set *set)
isl_int_set_si(hull->eq[k][2*(1+dim)+j], 1);
}
hull = isl_basic_set_set_rational(hull);
- hull = isl_basic_set_remove_dims(hull, dim, 2*(1+dim));
- hull = isl_basic_set_convex_hull(hull);
+ hull = isl_basic_set_remove_dims(hull, isl_dim_set, dim, 2*(1+dim));
+ hull = isl_basic_set_remove_redundancies(hull);
isl_basic_set_free(bset1);
isl_basic_set_free(bset2);
return hull;
return NULL;
}
-static int isl_basic_set_is_bounded(struct isl_basic_set *bset)
+/* Is the set bounded for each value of the parameters?
+ */
+int isl_basic_set_is_bounded(__isl_keep isl_basic_set *bset)
{
struct isl_tab *tab;
int bounded;
- tab = isl_tab_from_recession_cone(bset);
+ if (!bset)
+ return -1;
+ if (isl_basic_set_fast_is_empty(bset))
+ return 1;
+
+ tab = isl_tab_from_recession_cone(bset, 1);
bounded = isl_tab_cone_is_bounded(tab);
isl_tab_free(tab);
return bounded;
}
-static int isl_set_is_bounded(struct isl_set *set)
+/* Is the image bounded for each value of the parameters and
+ * the domain variables?
+ */
+int isl_basic_map_image_is_bounded(__isl_keep isl_basic_map *bmap)
+{
+ unsigned nparam = isl_basic_map_dim(bmap, isl_dim_param);
+ unsigned n_in = isl_basic_map_dim(bmap, isl_dim_in);
+ int bounded;
+
+ bmap = isl_basic_map_copy(bmap);
+ bmap = isl_basic_map_cow(bmap);
+ bmap = isl_basic_map_move_dims(bmap, isl_dim_param, nparam,
+ isl_dim_in, 0, n_in);
+ bounded = isl_basic_set_is_bounded((isl_basic_set *)bmap);
+ isl_basic_map_free(bmap);
+
+ return bounded;
+}
+
+/* Is the set bounded for each value of the parameters?
+ */
+int isl_set_is_bounded(__isl_keep isl_set *set)
{
int i;
+ if (!set)
+ return -1;
+
for (i = 0; i < set->n; ++i) {
int bounded = isl_basic_set_is_bounded(set->p[i]);
if (!bounded || bounded < 0)
Q = isl_mat_lin_to_aff(Q);
set = isl_set_preimage(set, U);
- set = isl_set_remove_dims(set, total - lin_dim, lin_dim);
+ set = isl_set_remove_dims(set, isl_dim_set, total - lin_dim, lin_dim);
hull = uset_convex_hull(set);
hull = isl_basic_set_preimage(hull, Q);
if (k < 0)
goto error;
n = 0;
- isl_int_set_si(lp->eq[k][n++], 0);
+ isl_int_set_si(lp->eq[k][n], 0); n++;
/* positivity constraint 1 >= 0 */
- isl_int_set_si(lp->eq[k][n++], i == 0);
+ isl_int_set_si(lp->eq[k][n], i == 0); n++;
for (j = 0; j < bset1->n_eq; ++j) {
- isl_int_set(lp->eq[k][n++], bset1->eq[j][i]);
- isl_int_neg(lp->eq[k][n++], bset1->eq[j][i]);
+ isl_int_set(lp->eq[k][n], bset1->eq[j][i]); n++;
+ isl_int_neg(lp->eq[k][n], bset1->eq[j][i]); n++;
+ }
+ for (j = 0; j < bset1->n_ineq; ++j) {
+ isl_int_set(lp->eq[k][n], bset1->ineq[j][i]); n++;
}
- for (j = 0; j < bset1->n_ineq; ++j)
- isl_int_set(lp->eq[k][n++], bset1->ineq[j][i]);
/* positivity constraint 1 >= 0 */
- isl_int_set_si(lp->eq[k][n++], -(i == 0));
+ isl_int_set_si(lp->eq[k][n], -(i == 0)); n++;
for (j = 0; j < bset2->n_eq; ++j) {
- isl_int_neg(lp->eq[k][n++], bset2->eq[j][i]);
- isl_int_set(lp->eq[k][n++], bset2->eq[j][i]);
+ isl_int_neg(lp->eq[k][n], bset2->eq[j][i]); n++;
+ isl_int_set(lp->eq[k][n], bset2->eq[j][i]); n++;
+ }
+ for (j = 0; j < bset2->n_ineq; ++j) {
+ isl_int_neg(lp->eq[k][n], bset2->ineq[j][i]); n++;
}
- for (j = 0; j < bset2->n_ineq; ++j)
- isl_int_neg(lp->eq[k][n++], bset2->ineq[j][i]);
}
lp = isl_basic_set_gauss(lp, NULL);
isl_basic_set_free(bset1);
isl_seq_clr(dir->block.data + 1, dir->size - 1);
n = 1;
/* positivity constraint 1 >= 0 */
- isl_int_set(dir->block.data[0], sample->block.data[n++]);
+ isl_int_set(dir->block.data[0], sample->block.data[n]); n++;
for (i = 0; i < bset1->n_eq; ++i) {
isl_int_sub(sample->block.data[n],
sample->block.data[n], sample->block.data[n+1]);
}
static struct isl_basic_set *uset_convex_hull_wrap(struct isl_set *set);
+static struct isl_basic_set *modulo_affine_hull(
+ struct isl_set *set, struct isl_basic_set *affine_hull);
/* Compute the convex hull of a pair of basic sets without any parameters or
* integer divisions.
* This function is called from uset_convex_hull_unbounded, which
* means that the complete convex hull is unbounded. Some pairs
* of basic sets may still be bounded, though.
+ * They may even lie inside a lower dimensional space, in which
+ * case they need to be handled inside their affine hull since
+ * the main algorithm assumes that the result is full-dimensional.
*
* If the convex hull of the two basic sets would have a non-trivial
* lineality space, we first project out this lineality space.
static struct isl_basic_set *convex_hull_pair(struct isl_basic_set *bset1,
struct isl_basic_set *bset2)
{
- struct isl_basic_set *lin;
+ isl_basic_set *lin, *aff;
int bounded1, bounded2;
+ aff = isl_set_affine_hull(isl_basic_set_union(isl_basic_set_copy(bset1),
+ isl_basic_set_copy(bset2)));
+ if (!aff)
+ goto error;
+ if (aff->n_eq != 0)
+ return modulo_affine_hull(isl_basic_set_union(bset1, bset2), aff);
+ isl_basic_set_free(aff);
+
bounded1 = isl_basic_set_is_bounded(bset1);
bounded2 = isl_basic_set_is_bounded(bset2);
{
struct isl_basic_set *convex_hull = NULL;
+ if (!set)
+ goto error;
+
if (isl_set_n_dim(set) == 0) {
convex_hull = isl_basic_set_universe(isl_dim_copy(set->dim));
isl_set_free(set);
}
set = isl_set_set_rational(set);
-
- if (!set)
- goto error;
set = isl_set_coalesce(set);
if (!set)
goto error;
map = isl_map_detect_equalities(map);
map = isl_map_align_divs(map);
+ if (!map)
+ goto error;
model = isl_basic_map_copy(map->p[0]);
set = isl_map_underlying_set(map);
if (!set)
}
convex_hull = isl_basic_map_overlying_set(bset, model);
+ if (!convex_hull)
+ return NULL;
ISL_F_SET(convex_hull, ISL_BASIC_MAP_NO_IMPLICIT);
ISL_F_SET(convex_hull, ISL_BASIC_MAP_ALL_EQUALITIES);
isl_map_convex_hull((struct isl_map *)set);
}
+__isl_give isl_basic_map *isl_map_polyhedral_hull(__isl_take isl_map *map)
+{
+ isl_basic_map *hull;
+
+ hull = isl_map_convex_hull(map);
+ return isl_basic_map_remove_divs(hull);
+}
+
+__isl_give isl_basic_set *isl_set_polyhedral_hull(__isl_take isl_set *set)
+{
+ return (isl_basic_set *)isl_map_polyhedral_hull((isl_map *)set);
+}
+
struct sh_data_entry {
struct isl_hash_table *table;
struct isl_tab *tab;
isl_int_clear(opt);
- return res == isl_lp_ok ? 1 :
+ return (res == isl_lp_ok || res == isl_lp_empty) ? 1 :
res == isl_lp_unbounded ? 0 : -1;
}
for (j = 0; j < set->p[i]->n_eq; ++j) {
for (k = 0; k < 2; ++k) {
isl_seq_neg(set->p[i]->eq[j], set->p[i]->eq[j], 1+dim);
- add_bound(bset, data, set, i, set->p[i]->eq[j]);
+ bset = add_bound(bset, data, set, i, set->p[i]->eq[j]);
}
}
for (j = 0; j < set->p[i]->n_ineq; ++j)
- add_bound(bset, data, set, i, set->p[i]->ineq[j]);
+ bset = add_bound(bset, data, set, i, set->p[i]->ineq[j]);
return bset;
}
hull = isl_basic_map_overlying_set(bset, model);
hull = isl_basic_map_intersect(hull, affine_hull);
- hull = isl_basic_map_convex_hull(hull);
+ hull = isl_basic_map_remove_redundancies(hull);
ISL_F_SET(hull, ISL_BASIC_MAP_NO_IMPLICIT);
ISL_F_SET(hull, ISL_BASIC_MAP_ALL_EQUALITIES);
projects / platform / upstream / isl.git / blobdiff