/*
* Copyright 2008-2009 Katholieke Universiteit Leuven
*
- * 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
if (bmap->n_ineq <= 1)
return bmap;
- tab = isl_tab_from_basic_map(bmap);
+ tab = isl_tab_from_basic_map(bmap, 0);
if (isl_tab_detect_implicit_equalities(tab) < 0)
goto error;
if (isl_tab_detect_redundant(tab) < 0)
int i;
unsigned dim = isl_set_n_dim(set);
int is_bound;
- isl_mat *bounds;
+ isl_mat *bounds = NULL;
isl_assert(set->ctx, set->n > 0, goto error);
bounds = isl_mat_alloc(set->ctx, 1, 1 + dim);
goto error;
lp = valid_direction_lp(isl_basic_set_copy(bset1),
isl_basic_set_copy(bset2));
- tab = isl_tab_from_basic_set(lp);
+ tab = isl_tab_from_basic_set(lp, 0);
sample = isl_tab_get_sample_value(tab);
isl_tab_free(tab);
isl_basic_set_free(lp);
if (set->n == 1) {
convex_hull = isl_basic_set_copy(set->p[0]);
isl_set_free(set);
+ convex_hull = isl_basic_map_remove_redundancies(convex_hull);
return convex_hull;
}
if (isl_set_n_dim(set) == 1)
* it can be relaxed (by increasing the constant term) to become
* a bound for that basic set. In the latter case, the constant
* term is updated.
+ * Relaxation of the constant term is only allowed if "shift" is set.
+ *
* Return 1 if "ineq" is a bound
* 0 if "ineq" may attain arbitrarily small values on basic set "j"
* -1 if some error occurred
*/
static int is_bound(struct sh_data *data, struct isl_set *set, int j,
- isl_int *ineq)
+ isl_int *ineq, int shift)
{
enum isl_lp_result res;
isl_int opt;
if (!data->p[j].tab) {
- data->p[j].tab = isl_tab_from_basic_set(set->p[j]);
+ data->p[j].tab = isl_tab_from_basic_set(set->p[j], 0);
if (!data->p[j].tab)
return -1;
}
res = isl_tab_min(data->p[j].tab, ineq, data->ctx->one,
&opt, NULL, 0);
- if (res == isl_lp_ok && isl_int_is_neg(opt))
- isl_int_sub(ineq[0], ineq[0], opt);
+ if (res == isl_lp_ok && isl_int_is_neg(opt)) {
+ if (shift)
+ isl_int_sub(ineq[0], ineq[0], opt);
+ else
+ res = isl_lp_unbounded;
+ }
isl_int_clear(opt);
res == isl_lp_unbounded ? 0 : -1;
}
-/* Check if inequality "ineq" from basic set "i" can be relaxed to
+/* Check if inequality "ineq" from basic set "i" is or can be relaxed to
* become a bound on the whole set. If so, add the (relaxed) inequality
- * to "hull".
+ * to "hull". Relaxation is only allowed if "shift" is set.
*
* We first check if "hull" already contains a translate of the inequality.
* If so, we are done.
* the inequality accordingly.
*/
static struct isl_basic_set *add_bound(struct isl_basic_set *hull,
- struct sh_data *data, struct isl_set *set, int i, isl_int *ineq)
+ struct sh_data *data, struct isl_set *set, int i, isl_int *ineq,
+ int shift)
{
uint32_t c_hash;
struct ineq_cmp_data v;
for (j = 0; j < i; ++j) {
int bound;
- bound = is_bound(data, set, j, hull->ineq[k]);
+ bound = is_bound(data, set, j, hull->ineq[k], shift);
if (bound < 0)
goto error;
if (!bound)
isl_int_neg(ineq_j[0], ineq_j[0]);
continue;
}
- bound = is_bound(data, set, j, hull->ineq[k]);
+ bound = is_bound(data, set, j, hull->ineq[k], shift);
if (bound < 0)
goto error;
if (!bound)
return NULL;
}
-/* Check if any inequality from basic set "i" can be relaxed to
+/* Check if any inequality from basic set "i" is or can be relaxed to
* become a bound on the whole set. If so, add the (relaxed) inequality
- * to "hull".
+ * to "hull". Relaxation is only allowed if "shift" is set.
*/
static struct isl_basic_set *add_bounds(struct isl_basic_set *bset,
- struct sh_data *data, struct isl_set *set, int i)
+ struct sh_data *data, struct isl_set *set, int i, int shift)
{
int j, k;
unsigned dim = isl_basic_set_total_dim(bset);
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);
- bset = add_bound(bset, data, set, i, set->p[i]->eq[j]);
+ bset = add_bound(bset, data, set, i, set->p[i]->eq[j],
+ shift);
}
}
for (j = 0; j < set->p[i]->n_ineq; ++j)
- bset = add_bound(bset, data, set, i, set->p[i]->ineq[j]);
+ bset = add_bound(bset, data, set, i, set->p[i]->ineq[j], shift);
return bset;
}
/* Compute a superset of the convex hull of set that is described
- * by only translates of the constraints in the constituents of set.
+ * by only (translates of) the constraints in the constituents of set.
+ * Translation is only allowed if "shift" is set.
*/
-static struct isl_basic_set *uset_simple_hull(struct isl_set *set)
+static __isl_give isl_basic_set *uset_simple_hull(__isl_take isl_set *set,
+ int shift)
{
struct sh_data *data = NULL;
struct isl_basic_set *hull = NULL;
goto error;
for (i = 0; i < set->n; ++i)
- hull = add_bounds(hull, data, set, i);
+ hull = add_bounds(hull, data, set, i, shift);
sh_data_free(data);
isl_set_free(set);
}
/* Compute a superset of the convex hull of map that is described
- * by only translates of the constraints in the constituents of map.
+ * by only (translates of) the constraints in the constituents of map.
+ * Translation is only allowed if "shift" is set.
*/
-struct isl_basic_map *isl_map_simple_hull(struct isl_map *map)
+static __isl_give isl_basic_map *map_simple_hull(__isl_take isl_map *map,
+ int shift)
{
struct isl_set *set = NULL;
struct isl_basic_map *model = NULL;
map = isl_map_detect_equalities(map);
affine_hull = isl_map_affine_hull(isl_map_copy(map));
map = isl_map_align_divs(map);
- model = isl_basic_map_copy(map->p[0]);
+ model = map ? isl_basic_map_copy(map->p[0]) : NULL;
set = isl_map_underlying_set(map);
- bset = uset_simple_hull(set);
+ bset = uset_simple_hull(set, shift);
hull = isl_basic_map_overlying_set(bset, model);
hull = isl_basic_map_intersect(hull, affine_hull);
hull = isl_basic_map_remove_redundancies(hull);
+
+ if (!hull)
+ return NULL;
ISL_F_SET(hull, ISL_BASIC_MAP_NO_IMPLICIT);
ISL_F_SET(hull, ISL_BASIC_MAP_ALL_EQUALITIES);
return hull;
}
+/* Compute a superset of the convex hull of map that is described
+ * by only translates of the constraints in the constituents of map.
+ */
+__isl_give isl_basic_map *isl_map_simple_hull(__isl_take isl_map *map)
+{
+ return map_simple_hull(map, 1);
+}
+
struct isl_basic_set *isl_set_simple_hull(struct isl_set *set)
{
return (struct isl_basic_set *)
isl_map_simple_hull((struct isl_map *)set);
}
+/* Compute a superset of the convex hull of map that is described
+ * by only the constraints in the constituents of map.
+ */
+__isl_give isl_basic_map *isl_map_unshifted_simple_hull(
+ __isl_take isl_map *map)
+{
+ return map_simple_hull(map, 0);
+}
+
+__isl_give isl_basic_set *isl_set_unshifted_simple_hull(
+ __isl_take isl_set *set)
+{
+ return isl_map_unshifted_simple_hull(set);
+}
+
/* Given a set "set", return parametric bounds on the dimension "dim".
*/
static struct isl_basic_set *set_bounds(struct isl_set *set, int dim)