return isl_map_is_equal((struct isl_map *)set1, (struct isl_map *)set2);
}
-int isl_set_is_subset(struct isl_set *set1, struct isl_set *set2)
-{
- return isl_map_is_subset(
- (struct isl_map *)set1, (struct isl_map *)set2);
-}
-
int isl_basic_map_is_subset(
struct isl_basic_map *bmap1, struct isl_basic_map *bmap2)
{
return isl_map_is_empty((struct isl_map *)set);
}
-/* Return 1 if "bmap" contains a single element.
- */
-int isl_basic_map_is_singleton(__isl_keep isl_basic_map *bmap)
-{
- if (!bmap)
- return -1;
- if (bmap->n_div)
- return 0;
- if (bmap->n_ineq)
- return 0;
- return bmap->n_eq == isl_basic_map_total_dim(bmap);
-}
-
-/* Return 1 if "map" contains a single element.
- */
-int isl_map_is_singleton(__isl_keep isl_map *map)
-{
- if (!map)
- return -1;
- if (map->n != 1)
- return 0;
-
- return isl_basic_map_is_singleton(map->p[0]);
-}
-
-/* Given a singleton basic map, extract the single element
- * as an isl_vec.
- */
-static __isl_give isl_vec *singleton_extract_point(__isl_keep isl_basic_map *bmap)
-{
- int i, j;
- unsigned dim;
- struct isl_vec *point;
- isl_int m;
-
- if (!bmap)
- return NULL;
-
- dim = isl_basic_map_total_dim(bmap);
- isl_assert(bmap->ctx, bmap->n_eq == dim, return NULL);
- point = isl_vec_alloc(bmap->ctx, 1 + dim);
- if (!point)
- return NULL;
-
- isl_int_init(m);
-
- isl_int_set_si(point->el[0], 1);
- for (j = 0; j < bmap->n_eq; ++j) {
- int s;
- int i = dim - 1 - j;
- isl_assert(bmap->ctx,
- isl_seq_first_non_zero(bmap->eq[j] + 1, i) == -1,
- goto error);
- isl_assert(bmap->ctx,
- isl_int_is_one(bmap->eq[j][1 + i]) ||
- isl_int_is_negone(bmap->eq[j][1 + i]),
- goto error);
- isl_assert(bmap->ctx,
- isl_seq_first_non_zero(bmap->eq[j]+1+i+1, dim-i-1) == -1,
- goto error);
-
- isl_int_gcd(m, point->el[0], bmap->eq[j][1 + i]);
- isl_int_divexact(m, bmap->eq[j][1 + i], m);
- isl_int_abs(m, m);
- isl_seq_scale(point->el, point->el, m, 1 + i);
- isl_int_divexact(m, point->el[0], bmap->eq[j][1 + i]);
- isl_int_neg(m, m);
- isl_int_mul(point->el[1 + i], m, bmap->eq[j][0]);
- }
-
- isl_int_clear(m);
- return point;
-error:
- isl_int_clear(m);
- isl_vec_free(point);
- return NULL;
-}
-
-/* Return 1 if "bmap" contains the point "point".
- * "bmap" is assumed to have known divs.
- * The point is first extended with the divs and then passed
- * to basic_map_contains.
- */
-static int basic_map_contains_point(__isl_keep isl_basic_map *bmap,
- __isl_keep isl_vec *point)
-{
- int i;
- struct isl_vec *vec;
- unsigned dim;
- int contains;
-
- if (!bmap || !point)
- return -1;
- if (bmap->n_div == 0)
- return isl_basic_map_contains(bmap, point);
-
- dim = isl_basic_map_total_dim(bmap) - bmap->n_div;
- vec = isl_vec_alloc(bmap->ctx, 1 + dim + bmap->n_div);
- if (!vec)
- return -1;
-
- isl_seq_cpy(vec->el, point->el, point->size);
- for (i = 0; i < bmap->n_div; ++i) {
- isl_seq_inner_product(bmap->div[i] + 1, vec->el,
- 1 + dim + i, &vec->el[1+dim+i]);
- isl_int_fdiv_q(vec->el[1+dim+i], vec->el[1+dim+i],
- bmap->div[i][0]);
- }
-
- contains = isl_basic_map_contains(bmap, vec);
-
- isl_vec_free(vec);
- return contains;
-}
-
-/* Return 1 is the singleton map "map1" is a subset of "map2",
- * i.e., if the single element of "map1" is also an element of "map2".
- */
-static int map_is_singleton_subset(__isl_keep isl_map *map1,
- __isl_keep isl_map *map2)
-{
- int i;
- int is_subset = 0;
- struct isl_vec *point;
-
- if (!map1 || !map2)
- return -1;
- if (map1->n != 1)
- return -1;
-
- point = singleton_extract_point(map1->p[0]);
- if (!point)
- return -1;
-
- for (i = 0; i < map2->n; ++i) {
- is_subset = basic_map_contains_point(map2->p[i], point);
- if (is_subset)
- break;
- }
-
- isl_vec_free(point);
- return is_subset;
-}
-
-int isl_map_is_subset(struct isl_map *map1, struct isl_map *map2)
-{
- int is_subset = 0;
- struct isl_map *diff;
-
- if (!map1 || !map2)
- return -1;
-
- if (isl_map_is_empty(map1))
- return 1;
-
- if (isl_map_is_empty(map2))
- return 0;
-
- if (isl_map_fast_is_universe(map2))
- return 1;
-
- map2 = isl_map_compute_divs(isl_map_copy(map2));
- if (isl_map_is_singleton(map1)) {
- is_subset = map_is_singleton_subset(map1, map2);
- isl_map_free(map2);
- return is_subset;
- }
- diff = isl_map_subtract(isl_map_copy(map1), map2);
- if (!diff)
- return -1;
-
- is_subset = isl_map_is_empty(diff);
- isl_map_free(diff);
-
- return is_subset;
-}
-
int isl_map_is_equal(struct isl_map *map1, struct isl_map *map2)
{
int is_subset;
return (struct isl_set *)isl_map_align_divs((struct isl_map *)set);
}
-static struct isl_map *add_cut_constraint(struct isl_map *dst,
- struct isl_basic_map *src, isl_int *c,
- unsigned len, int oppose)
-{
- struct isl_basic_map *copy = NULL;
- int is_empty;
- int k;
- unsigned total;
-
- copy = isl_basic_map_copy(src);
- copy = isl_basic_map_cow(copy);
- if (!copy)
- goto error;
- copy = isl_basic_map_extend_constraints(copy, 0, 1);
- k = isl_basic_map_alloc_inequality(copy);
- if (k < 0)
- goto error;
- if (oppose)
- isl_seq_neg(copy->ineq[k], c, len);
- else
- isl_seq_cpy(copy->ineq[k], c, len);
- total = 1 + isl_basic_map_total_dim(copy);
- isl_seq_clr(copy->ineq[k]+len, total - len);
- isl_inequality_negate(copy, k);
- copy = isl_basic_map_simplify(copy);
- copy = isl_basic_map_finalize(copy);
- is_empty = isl_basic_map_is_empty(copy);
- if (is_empty < 0)
- goto error;
- if (!is_empty)
- dst = isl_map_add(dst, copy);
- else
- isl_basic_map_free(copy);
- return dst;
-error:
- isl_basic_map_free(copy);
- isl_map_free(dst);
- return NULL;
-}
-
-static struct isl_map *subtract(struct isl_map *map, struct isl_basic_map *bmap)
-{
- int i, j, k;
- unsigned flags = 0;
- struct isl_map *rest = NULL;
- unsigned max;
- unsigned total = isl_basic_map_total_dim(bmap);
-
- map = isl_map_cow(map);
-
- if (!map || !bmap)
- goto error;
-
- if (ISL_F_ISSET(map, ISL_MAP_DISJOINT))
- ISL_FL_SET(flags, ISL_MAP_DISJOINT);
-
- max = map->n * (2 * bmap->n_eq + bmap->n_ineq);
- rest = isl_map_alloc_dim(isl_dim_copy(map->dim), max, flags);
- if (!rest)
- goto error;
-
- for (i = 0; i < map->n; ++i) {
- map->p[i] = isl_basic_map_align_divs(map->p[i], bmap);
- if (!map->p[i])
- goto error;
- }
-
- for (j = 0; j < map->n; ++j)
- map->p[j] = isl_basic_map_cow(map->p[j]);
-
- for (i = 0; i < bmap->n_eq; ++i) {
- for (j = 0; j < map->n; ++j) {
- rest = add_cut_constraint(rest,
- map->p[j], bmap->eq[i], 1+total, 0);
- if (!rest)
- goto error;
-
- rest = add_cut_constraint(rest,
- map->p[j], bmap->eq[i], 1+total, 1);
- if (!rest)
- goto error;
-
- map->p[j] = isl_basic_map_extend_constraints(map->p[j],
- 1, 0);
- if (!map->p[j])
- goto error;
- k = isl_basic_map_alloc_equality(map->p[j]);
- if (k < 0)
- goto error;
- isl_seq_cpy(map->p[j]->eq[k], bmap->eq[i], 1+total);
- isl_seq_clr(map->p[j]->eq[k]+1+total,
- map->p[j]->n_div - bmap->n_div);
- }
- }
-
- for (i = 0; i < bmap->n_ineq; ++i) {
- for (j = 0; j < map->n; ++j) {
- rest = add_cut_constraint(rest,
- map->p[j], bmap->ineq[i], 1+total, 0);
- if (!rest)
- goto error;
-
- map->p[j] = isl_basic_map_extend_constraints(map->p[j],
- 0, 1);
- if (!map->p[j])
- goto error;
- k = isl_basic_map_alloc_inequality(map->p[j]);
- if (k < 0)
- goto error;
- isl_seq_cpy(map->p[j]->ineq[k], bmap->ineq[i], 1+total);
- isl_seq_clr(map->p[j]->ineq[k]+1+total,
- map->p[j]->n_div - bmap->n_div);
- }
- }
-
- isl_map_free(map);
- return rest;
-error:
- isl_map_free(map);
- isl_map_free(rest);
- return NULL;
-}
-
-struct isl_map *isl_map_subtract(struct isl_map *map1, struct isl_map *map2)
-{
- int i;
- if (!map1 || !map2)
- goto error;
-
- isl_assert(map1->ctx, isl_dim_equal(map1->dim, map2->dim), goto error);
-
- if (isl_map_is_empty(map2)) {
- isl_map_free(map2);
- return map1;
- }
-
- map1 = isl_map_compute_divs(map1);
- map2 = isl_map_compute_divs(map2);
- if (!map1 || !map2)
- goto error;
-
- map1 = isl_map_remove_empty_parts(map1);
- map2 = isl_map_remove_empty_parts(map2);
-
- for (i = 0; map1 && i < map2->n; ++i)
- map1 = subtract(map1, map2->p[i]);
-
- isl_map_free(map2);
- return map1;
-error:
- isl_map_free(map1);
- isl_map_free(map2);
- return NULL;
-}
-
-struct isl_set *isl_set_subtract(struct isl_set *set1, struct isl_set *set2)
-{
- return (struct isl_set *)
- isl_map_subtract(
- (struct isl_map *)set1, (struct isl_map *)set2);
-}
-
struct isl_set *isl_set_apply(struct isl_set *set, struct isl_map *map)
{
if (!set || !map)
--- /dev/null
+#include "isl_seq.h"
+#include "isl_set.h"
+#include "isl_map.h"
+#include "isl_map_private.h"
+
+static struct isl_map *add_cut_constraint(struct isl_map *dst,
+ struct isl_basic_map *src, isl_int *c,
+ unsigned len, int oppose)
+{
+ struct isl_basic_map *copy = NULL;
+ int is_empty;
+ int k;
+ unsigned total;
+
+ copy = isl_basic_map_copy(src);
+ copy = isl_basic_map_cow(copy);
+ if (!copy)
+ goto error;
+ copy = isl_basic_map_extend_constraints(copy, 0, 1);
+ k = isl_basic_map_alloc_inequality(copy);
+ if (k < 0)
+ goto error;
+ if (oppose)
+ isl_seq_neg(copy->ineq[k], c, len);
+ else
+ isl_seq_cpy(copy->ineq[k], c, len);
+ total = 1 + isl_basic_map_total_dim(copy);
+ isl_seq_clr(copy->ineq[k]+len, total - len);
+ isl_inequality_negate(copy, k);
+ copy = isl_basic_map_simplify(copy);
+ copy = isl_basic_map_finalize(copy);
+ is_empty = isl_basic_map_is_empty(copy);
+ if (is_empty < 0)
+ goto error;
+ if (!is_empty)
+ dst = isl_map_add(dst, copy);
+ else
+ isl_basic_map_free(copy);
+ return dst;
+error:
+ isl_basic_map_free(copy);
+ isl_map_free(dst);
+ return NULL;
+}
+
+static struct isl_map *subtract(struct isl_map *map, struct isl_basic_map *bmap)
+{
+ int i, j, k;
+ unsigned flags = 0;
+ struct isl_map *rest = NULL;
+ unsigned max;
+ unsigned total = isl_basic_map_total_dim(bmap);
+
+ map = isl_map_cow(map);
+
+ if (!map || !bmap)
+ goto error;
+
+ if (ISL_F_ISSET(map, ISL_MAP_DISJOINT))
+ ISL_FL_SET(flags, ISL_MAP_DISJOINT);
+
+ max = map->n * (2 * bmap->n_eq + bmap->n_ineq);
+ rest = isl_map_alloc_dim(isl_dim_copy(map->dim), max, flags);
+ if (!rest)
+ goto error;
+
+ for (i = 0; i < map->n; ++i) {
+ map->p[i] = isl_basic_map_align_divs(map->p[i], bmap);
+ if (!map->p[i])
+ goto error;
+ }
+
+ for (j = 0; j < map->n; ++j)
+ map->p[j] = isl_basic_map_cow(map->p[j]);
+
+ for (i = 0; i < bmap->n_eq; ++i) {
+ for (j = 0; j < map->n; ++j) {
+ rest = add_cut_constraint(rest,
+ map->p[j], bmap->eq[i], 1+total, 0);
+ if (!rest)
+ goto error;
+
+ rest = add_cut_constraint(rest,
+ map->p[j], bmap->eq[i], 1+total, 1);
+ if (!rest)
+ goto error;
+
+ map->p[j] = isl_basic_map_extend_constraints(map->p[j],
+ 1, 0);
+ if (!map->p[j])
+ goto error;
+ k = isl_basic_map_alloc_equality(map->p[j]);
+ if (k < 0)
+ goto error;
+ isl_seq_cpy(map->p[j]->eq[k], bmap->eq[i], 1+total);
+ isl_seq_clr(map->p[j]->eq[k]+1+total,
+ map->p[j]->n_div - bmap->n_div);
+ }
+ }
+
+ for (i = 0; i < bmap->n_ineq; ++i) {
+ for (j = 0; j < map->n; ++j) {
+ rest = add_cut_constraint(rest,
+ map->p[j], bmap->ineq[i], 1+total, 0);
+ if (!rest)
+ goto error;
+
+ map->p[j] = isl_basic_map_extend_constraints(map->p[j],
+ 0, 1);
+ if (!map->p[j])
+ goto error;
+ k = isl_basic_map_alloc_inequality(map->p[j]);
+ if (k < 0)
+ goto error;
+ isl_seq_cpy(map->p[j]->ineq[k], bmap->ineq[i], 1+total);
+ isl_seq_clr(map->p[j]->ineq[k]+1+total,
+ map->p[j]->n_div - bmap->n_div);
+ }
+ }
+
+ isl_map_free(map);
+ return rest;
+error:
+ isl_map_free(map);
+ isl_map_free(rest);
+ return NULL;
+}
+
+struct isl_map *isl_map_subtract(struct isl_map *map1, struct isl_map *map2)
+{
+ int i;
+ if (!map1 || !map2)
+ goto error;
+
+ isl_assert(map1->ctx, isl_dim_equal(map1->dim, map2->dim), goto error);
+
+ if (isl_map_is_empty(map2)) {
+ isl_map_free(map2);
+ return map1;
+ }
+
+ map1 = isl_map_compute_divs(map1);
+ map2 = isl_map_compute_divs(map2);
+ if (!map1 || !map2)
+ goto error;
+
+ map1 = isl_map_remove_empty_parts(map1);
+ map2 = isl_map_remove_empty_parts(map2);
+
+ for (i = 0; map1 && i < map2->n; ++i)
+ map1 = subtract(map1, map2->p[i]);
+
+ isl_map_free(map2);
+ return map1;
+error:
+ isl_map_free(map1);
+ isl_map_free(map2);
+ return NULL;
+}
+
+struct isl_set *isl_set_subtract(struct isl_set *set1, struct isl_set *set2)
+{
+ return (struct isl_set *)
+ isl_map_subtract(
+ (struct isl_map *)set1, (struct isl_map *)set2);
+}
+
+/* Return 1 if "bmap" contains a single element.
+ */
+int isl_basic_map_is_singleton(__isl_keep isl_basic_map *bmap)
+{
+ if (!bmap)
+ return -1;
+ if (bmap->n_div)
+ return 0;
+ if (bmap->n_ineq)
+ return 0;
+ return bmap->n_eq == isl_basic_map_total_dim(bmap);
+}
+
+/* Return 1 if "map" contains a single element.
+ */
+int isl_map_is_singleton(__isl_keep isl_map *map)
+{
+ if (!map)
+ return -1;
+ if (map->n != 1)
+ return 0;
+
+ return isl_basic_map_is_singleton(map->p[0]);
+}
+
+/* Given a singleton basic map, extract the single element
+ * as an isl_vec.
+ */
+static __isl_give isl_vec *singleton_extract_point(__isl_keep isl_basic_map *bmap)
+{
+ int i, j;
+ unsigned dim;
+ struct isl_vec *point;
+ isl_int m;
+
+ if (!bmap)
+ return NULL;
+
+ dim = isl_basic_map_total_dim(bmap);
+ isl_assert(bmap->ctx, bmap->n_eq == dim, return NULL);
+ point = isl_vec_alloc(bmap->ctx, 1 + dim);
+ if (!point)
+ return NULL;
+
+ isl_int_init(m);
+
+ isl_int_set_si(point->el[0], 1);
+ for (j = 0; j < bmap->n_eq; ++j) {
+ int s;
+ int i = dim - 1 - j;
+ isl_assert(bmap->ctx,
+ isl_seq_first_non_zero(bmap->eq[j] + 1, i) == -1,
+ goto error);
+ isl_assert(bmap->ctx,
+ isl_int_is_one(bmap->eq[j][1 + i]) ||
+ isl_int_is_negone(bmap->eq[j][1 + i]),
+ goto error);
+ isl_assert(bmap->ctx,
+ isl_seq_first_non_zero(bmap->eq[j]+1+i+1, dim-i-1) == -1,
+ goto error);
+
+ isl_int_gcd(m, point->el[0], bmap->eq[j][1 + i]);
+ isl_int_divexact(m, bmap->eq[j][1 + i], m);
+ isl_int_abs(m, m);
+ isl_seq_scale(point->el, point->el, m, 1 + i);
+ isl_int_divexact(m, point->el[0], bmap->eq[j][1 + i]);
+ isl_int_neg(m, m);
+ isl_int_mul(point->el[1 + i], m, bmap->eq[j][0]);
+ }
+
+ isl_int_clear(m);
+ return point;
+error:
+ isl_int_clear(m);
+ isl_vec_free(point);
+ return NULL;
+}
+
+/* Return 1 if "bmap" contains the point "point".
+ * "bmap" is assumed to have known divs.
+ * The point is first extended with the divs and then passed
+ * to basic_map_contains.
+ */
+static int basic_map_contains_point(__isl_keep isl_basic_map *bmap,
+ __isl_keep isl_vec *point)
+{
+ int i;
+ struct isl_vec *vec;
+ unsigned dim;
+ int contains;
+
+ if (!bmap || !point)
+ return -1;
+ if (bmap->n_div == 0)
+ return isl_basic_map_contains(bmap, point);
+
+ dim = isl_basic_map_total_dim(bmap) - bmap->n_div;
+ vec = isl_vec_alloc(bmap->ctx, 1 + dim + bmap->n_div);
+ if (!vec)
+ return -1;
+
+ isl_seq_cpy(vec->el, point->el, point->size);
+ for (i = 0; i < bmap->n_div; ++i) {
+ isl_seq_inner_product(bmap->div[i] + 1, vec->el,
+ 1 + dim + i, &vec->el[1+dim+i]);
+ isl_int_fdiv_q(vec->el[1+dim+i], vec->el[1+dim+i],
+ bmap->div[i][0]);
+ }
+
+ contains = isl_basic_map_contains(bmap, vec);
+
+ isl_vec_free(vec);
+ return contains;
+}
+
+/* Return 1 is the singleton map "map1" is a subset of "map2",
+ * i.e., if the single element of "map1" is also an element of "map2".
+ */
+static int map_is_singleton_subset(__isl_keep isl_map *map1,
+ __isl_keep isl_map *map2)
+{
+ int i;
+ int is_subset = 0;
+ struct isl_vec *point;
+
+ if (!map1 || !map2)
+ return -1;
+ if (map1->n != 1)
+ return -1;
+
+ point = singleton_extract_point(map1->p[0]);
+ if (!point)
+ return -1;
+
+ for (i = 0; i < map2->n; ++i) {
+ is_subset = basic_map_contains_point(map2->p[i], point);
+ if (is_subset)
+ break;
+ }
+
+ isl_vec_free(point);
+ return is_subset;
+}
+
+int isl_map_is_subset(struct isl_map *map1, struct isl_map *map2)
+{
+ int is_subset = 0;
+ struct isl_map *diff;
+
+ if (!map1 || !map2)
+ return -1;
+
+ if (isl_map_is_empty(map1))
+ return 1;
+
+ if (isl_map_is_empty(map2))
+ return 0;
+
+ if (isl_map_fast_is_universe(map2))
+ return 1;
+
+ map2 = isl_map_compute_divs(isl_map_copy(map2));
+ if (isl_map_is_singleton(map1)) {
+ is_subset = map_is_singleton_subset(map1, map2);
+ isl_map_free(map2);
+ return is_subset;
+ }
+ diff = isl_map_subtract(isl_map_copy(map1), map2);
+ if (!diff)
+ return -1;
+
+ is_subset = isl_map_is_empty(diff);
+ isl_map_free(diff);
+
+ return is_subset;
+}
+
+int isl_set_is_subset(struct isl_set *set1, struct isl_set *set2)
+{
+ return isl_map_is_subset(
+ (struct isl_map *)set1, (struct isl_map *)set2);
+}