return NULL;
while (progress) {
progress = 0;
+ if (!bmap)
+ break;
+ if (isl_basic_map_plain_is_empty(bmap))
+ break;
bmap = isl_basic_map_normalize_constraints(bmap);
bmap = normalize_div_expressions(bmap);
bmap = remove_duplicate_divs(bmap, &progress);
return 0;
}
- for (i = 0; i < bmap->n_div; ++i)
+ 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 0;
+ }
return 1;
}
{
int i;
+ if (!bmap)
+ return NULL;
+
for (i = 0; i < bmap->n_div; ++i) {
if (isl_int_is_zero(bmap->div[i][0]))
continue;
bmap = isl_basic_map_cow(bmap);
for (d = pos + n - 1; d >= 0 && d >= pos; --d)
bmap = remove_dependent_vars(bmap, d);
+ if (!bmap)
+ return NULL;
for (d = pos + n - 1;
d >= 0 && d >= total - bmap->n_div && d >= pos; --d)
return bset;
}
+/* Does the (linear part of a) constraint "c" involve any of the "len"
+ * "relevant" dimensions?
+ */
+static int is_related(isl_int *c, int len, int *relevant)
+{
+ int i;
+
+ for (i = 0; i < len; ++i) {
+ if (!relevant[i])
+ continue;
+ if (!isl_int_is_zero(c[i]))
+ return 1;
+ }
+
+ return 0;
+}
+
+/* Drop constraints from "bset" that do not involve any of
+ * the dimensions marked "relevant".
+ */
+static __isl_give isl_basic_set *drop_unrelated_constraints(
+ __isl_take isl_basic_set *bset, int *relevant)
+{
+ int i, dim;
+
+ dim = isl_basic_set_dim(bset, isl_dim_set);
+ for (i = 0; i < dim; ++i)
+ if (!relevant[i])
+ break;
+ if (i >= dim)
+ return bset;
+
+ for (i = bset->n_eq - 1; i >= 0; --i)
+ if (!is_related(bset->eq[i] + 1, dim, relevant))
+ isl_basic_set_drop_equality(bset, i);
+
+ for (i = bset->n_ineq - 1; i >= 0; --i)
+ if (!is_related(bset->ineq[i] + 1, dim, relevant))
+ isl_basic_set_drop_inequality(bset, i);
+
+ return bset;
+}
+
+/* Update the groups in "group" based on the (linear part of a) constraint "c".
+ *
+ * In particular, for any variable involved in the constraint,
+ * find the actual group id from before and replace the group
+ * of the corresponding variable by the minimal group of all
+ * the variables involved in the constraint considered so far
+ * (if this minimum is smaller) or replace the minimum by this group
+ * (if the minimum is larger).
+ *
+ * At the end, all the variables in "c" will (indirectly) point
+ * to the minimal of the groups that they referred to originally.
+ */
+static void update_groups(int dim, int *group, isl_int *c)
+{
+ int j;
+ int min = dim;
+
+ for (j = 0; j < dim; ++j) {
+ if (isl_int_is_zero(c[j]))
+ continue;
+ while (group[j] >= 0 && group[group[j]] != group[j])
+ group[j] = group[group[j]];
+ if (group[j] == min)
+ continue;
+ if (group[j] < min) {
+ if (min >= 0 && min < dim)
+ group[min] = group[j];
+ min = group[j];
+ } else
+ group[group[j]] = min;
+ }
+}
+
+/* Drop constraints from "context" that are irrelevant for computing
+ * the gist of "bset".
+ *
+ * In particular, drop constraints in variables that are not related
+ * to any of the variables involved in the constraints of "bset"
+ * in the sense that there is no sequence of constraints that connects them.
+ *
+ * We construct groups of variables that collect variables that
+ * (indirectly) appear in some common constraint of "context".
+ * Each group is identified by the first variable in the group,
+ * except for the special group of variables that appear in "bset"
+ * (or are related to those variables), which is identified by -1.
+ * If group[i] is equal to i (or -1), then the group of i is i (or -1),
+ * otherwise the group of i is the group of group[i].
+ *
+ * We first initialize the -1 group with the variables that appear in "bset".
+ * Then we initialize groups for the remaining variables.
+ * Then we iterate over the constraints of "context" and update the
+ * group of the variables in the constraint by the smallest group.
+ * Finally, we resolve indirect references to groups by running over
+ * the variables.
+ *
+ * After computing the groups, we drop constraints that do not involve
+ * any variables in the -1 group.
+ */
+static __isl_give isl_basic_set *drop_irrelevant_constraints(
+ __isl_take isl_basic_set *context, __isl_keep isl_basic_set *bset)
+{
+ isl_ctx *ctx;
+ int *group;
+ int dim;
+ int i, j;
+ int last;
+
+ if (!context || !bset)
+ return isl_basic_set_free(context);
+
+ dim = isl_basic_set_dim(bset, isl_dim_set);
+ ctx = isl_basic_set_get_ctx(bset);
+ group = isl_calloc_array(ctx, int, dim);
+
+ if (!group)
+ goto error;
+
+ for (i = 0; i < dim; ++i) {
+ for (j = 0; j < bset->n_eq; ++j)
+ if (!isl_int_is_zero(bset->eq[j][1 + i]))
+ break;
+ if (j < bset->n_eq) {
+ group[i] = -1;
+ continue;
+ }
+ for (j = 0; j < bset->n_ineq; ++j)
+ if (!isl_int_is_zero(bset->ineq[j][1 + i]))
+ break;
+ if (j < bset->n_ineq)
+ group[i] = -1;
+ }
+
+ last = -1;
+ for (i = 0; i < dim; ++i)
+ if (group[i] >= 0)
+ last = group[i] = i;
+ if (last < 0) {
+ free(group);
+ return context;
+ }
+
+ for (i = 0; i < context->n_eq; ++i)
+ update_groups(dim, group, context->eq[i] + 1);
+ for (i = 0; i < context->n_ineq; ++i)
+ update_groups(dim, group, context->ineq[i] + 1);
+
+ for (i = 0; i < dim; ++i)
+ if (group[i] >= 0)
+ group[i] = group[group[i]];
+
+ for (i = 0; i < dim; ++i)
+ group[i] = group[i] == -1;
+
+ context = drop_unrelated_constraints(context, group);
+
+ free(group);
+ return context;
+error:
+ free(group);
+ return isl_basic_set_free(context);
+}
+
/* Remove all information from bset that is redundant in the context
* of context. Both bset and context are assumed to be full-dimensional.
*
- * We first * remove the inequalities from "bset"
+ * We first remove the inequalities from "bset"
* that are obviously redundant with respect to some inequality in "context".
+ * Then we remove those constraints from "context" that have become
+ * irrelevant for computing the gist of "bset".
+ * Note that this removal of constraints cannot be replaced by
+ * a factorization because factors in "bset" may still be connected
+ * to each other through constraints in "context".
*
* If there are any inequalities left, we construct a tableau for
* the context and then add the inequalities of "bset".
if (bset->n_ineq == 0)
goto done;
+ context = drop_irrelevant_constraints(context, bset);
+ if (!context)
+ goto error;
+ if (isl_basic_set_is_universe(context)) {
+ isl_basic_set_free(context);
+ return bset;
+ }
+
context_ineq = context->n_ineq;
combined = isl_basic_set_cow(isl_basic_set_copy(context));
combined = isl_basic_set_extend_constraints(combined, 0, bset->n_ineq);
* redundant in the context of the equalities and inequalities of
* context are removed.
*
+ * First of all, we drop those constraints from "context"
+ * that are irrelevant for computing the gist of "bset".
+ * Alternatively, we could factorize the intersection of "context" and "bset".
+ *
* We first compute the integer affine hull of the intersection,
* compute the gist inside this affine hull and then add back
* those equalities that are not implied by the context.
if (!bset || !context)
goto error;
+ context = drop_irrelevant_constraints(context, bset);
+
bset = isl_basic_set_intersect(bset, isl_basic_set_copy(context));
if (isl_basic_set_plain_is_empty(bset)) {
isl_basic_set_free(context);
for (i = 0; i < context->n_eq; ++i) {
int k;
k = isl_basic_map_alloc_equality(bmap);
+ if (k < 0)
+ return isl_basic_map_free(bmap);
isl_seq_cpy(bmap->eq[k], context->eq[i], 1 + total_context);
isl_seq_clr(bmap->eq[k] + 1 + total_context,
isl_basic_map_total_dim(bmap) - total_context);
goto error;;
isl_assert(map->ctx, isl_space_is_equal(map->dim, context->dim), goto error);
map = isl_map_compute_divs(map);
+ if (!map)
+ goto error;
for (i = 0; i < map->n; ++i)
context = isl_basic_map_align_divs(context, map->p[i]);
for (i = map->n - 1; i >= 0; --i) {
(struct isl_basic_map *)bset2);
}
+/* Are "map1" and "map2" obviously disjoint?
+ *
+ * If one of them is empty or if they live in different spaces (ignoring
+ * parameters), then they are clearly disjoint.
+ *
+ * If they have different parameters, then we skip any further tests.
+ *
+ * If they are obviously equal, but not obviously empty, then we will
+ * not be able to detect if they are disjoint.
+ *
+ * Otherwise we check if each basic map in "map1" is obviously disjoint
+ * from each basic map in "map2".
+ */
int isl_map_plain_is_disjoint(__isl_keep isl_map *map1,
__isl_keep isl_map *map2)
{
int i, j;
int disjoint;
int intersect;
+ int match;
if (!map1 || !map2)
return -1;
if (disjoint < 0 || disjoint)
return disjoint;
+ match = isl_space_tuple_match(map1->dim, isl_dim_in,
+ map2->dim, isl_dim_in);
+ if (match < 0 || !match)
+ return match < 0 ? -1 : 1;
+
+ match = isl_space_tuple_match(map1->dim, isl_dim_out,
+ map2->dim, isl_dim_out);
+ if (match < 0 || !match)
+ return match < 0 ? -1 : 1;
+
+ match = isl_space_match(map1->dim, isl_dim_param,
+ map2->dim, isl_dim_param);
+ if (match < 0 || !match)
+ return match < 0 ? -1 : 0;
+
intersect = isl_map_plain_is_equal(map1, map2);
if (intersect < 0 || intersect)
return intersect < 0 ? -1 : 0;
projects / platform / upstream / isl.git / blobdiff