#include "isl_ctx.h"
#include "isl_blk.h"
#include "isl_dim.h"
+#include "isl_equalities.h"
#include "isl_list.h"
#include "isl_lp.h"
#include "isl_seq.h"
return NULL;
}
+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.
+ */
+static struct isl_basic_set *basic_set_parameter_preimage(
+ struct isl_basic_set *bset, struct isl_mat *mat)
+{
+ unsigned nparam;
+
+ if (!bset || !mat)
+ goto error;
+
+ bset->dim = isl_dim_cow(bset->dim);
+ if (!bset->dim)
+ goto error;
+
+ nparam = isl_basic_set_dim(bset, isl_dim_param);
+
+ isl_assert(bset->ctx, mat->n_row == 1 + nparam, goto error);
+
+ bset->dim->nparam = 0;
+ bset->dim->n_out = nparam;
+ bset = isl_basic_set_preimage(bset, mat);
+ if (bset) {
+ bset->dim->nparam = bset->dim->n_out;
+ bset->dim->n_out = 0;
+ }
+ return bset;
+error:
+ isl_mat_free(mat);
+ isl_basic_set_free(bset);
+ return NULL;
+}
+
+/* Apply a preimage specified by "mat" on the parameters of "set".
+ * set is assumed to have only parameters and divs.
+ */
+static struct isl_set *set_parameter_preimage(
+ struct isl_set *set, struct isl_mat *mat)
+{
+ struct isl_dim *dim = NULL;
+ unsigned nparam;
+
+ if (!set || !mat)
+ goto error;
+
+ dim = isl_dim_copy(set->dim);
+ dim = isl_dim_cow(dim);
+ if (!dim)
+ goto error;
+
+ nparam = isl_set_dim(set, isl_dim_param);
+
+ isl_assert(set->ctx, mat->n_row == 1 + nparam, goto error);
+
+ dim->nparam = 0;
+ dim->n_out = nparam;
+ isl_set_reset_dim(set, dim);
+ set = isl_set_preimage(set, mat);
+ if (!set)
+ goto error2;
+ dim = isl_dim_copy(set->dim);
+ dim = isl_dim_cow(dim);
+ if (!dim)
+ goto error2;
+ dim->nparam = dim->n_out;
+ dim->n_out = 0;
+ isl_set_reset_dim(set, dim);
+ return set;
+error:
+ isl_dim_free(dim);
+ isl_mat_free(mat);
+error2:
+ isl_set_free(set);
+ return NULL;
+}
+
+/* Intersect the basic set "bset" with the affine space specified by the
+ * equalities in "eq".
+ */
+static struct isl_basic_set *basic_set_append_equalities(
+ struct isl_basic_set *bset, struct isl_mat *eq)
+{
+ int i, k;
+ unsigned len;
+
+ if (!bset || !eq)
+ goto error;
+
+ bset = isl_basic_set_extend_dim(bset, isl_dim_copy(bset->dim), 0,
+ eq->n_row, 0);
+ if (!bset)
+ goto error;
+
+ len = 1 + isl_dim_total(bset->dim) + bset->extra;
+ for (i = 0; i < eq->n_row; ++i) {
+ k = isl_basic_set_alloc_equality(bset);
+ if (k < 0)
+ goto error;
+ isl_seq_cpy(bset->eq[k], eq->row[i], eq->n_col);
+ isl_seq_clr(bset->eq[k] + eq->n_col, len - eq->n_col);
+ }
+ isl_mat_free(eq);
+
+ return bset;
+error:
+ isl_mat_free(eq);
+ isl_basic_set_free(bset);
+ return NULL;
+}
+
+/* Intersect the set "set" with the affine space specified by the
+ * equalities in "eq".
+ */
+static struct isl_set *set_append_equalities(struct isl_set *set,
+ struct isl_mat *eq)
+{
+ int i;
+
+ if (!set || !eq)
+ goto error;
+
+ for (i = 0; i < set->n; ++i) {
+ set->p[i] = basic_set_append_equalities(set->p[i],
+ isl_mat_copy(eq));
+ if (!set->p[i])
+ goto error;
+ }
+ isl_mat_free(eq);
+ return set;
+error:
+ isl_mat_free(eq);
+ isl_set_free(set);
+ return NULL;
+}
+
+/* Project the given basic set onto its parameter domain, possibly introducing
+ * new, explicit, existential variables in the constraints.
+ * The input has parameters and (possibly implicit) existential variables.
+ * The output has the same parameters, but only
+ * explicit existentially quantified variables.
+ *
+ * The actual projection is performed by pip, but pip doesn't seem
+ * to like equalities very much, so we first remove the equalities
+ * among the parameters by performing a variable compression on
+ * the parameters. Afterward, an inverse transformation is performed
+ * and the equalities among the parameters are inserted back in.
+ */
+static struct isl_set *parameter_compute_divs(struct isl_basic_set *bset)
+{
+ int i, j;
+ struct isl_mat *eq;
+ struct isl_mat *T, *T2;
+ struct isl_set *set;
+ unsigned nparam, n_div;
+
+ bset = isl_basic_set_cow(bset);
+ if (!bset)
+ return NULL;
+
+ if (bset->n_eq == 0)
+ return isl_basic_set_lexmin(bset);
+
+ isl_basic_set_gauss(bset, NULL);
+
+ nparam = isl_basic_set_dim(bset, isl_dim_param);
+ n_div = isl_basic_set_dim(bset, isl_dim_div);
+
+ for (i = 0, j = n_div - 1; i < bset->n_eq && j >= 0; --j) {
+ if (!isl_int_is_zero(bset->eq[i][1 + nparam + j]))
+ ++i;
+ }
+ if (i == bset->n_eq)
+ return isl_basic_set_lexmin(bset);
+
+ eq = isl_mat_sub_alloc(bset->ctx, bset->eq, i, bset->n_eq - i,
+ 0, 1 + nparam);
+ eq = isl_mat_cow(eq);
+ T = isl_mat_variable_compression(isl_mat_copy(eq), &T2);
+ bset = basic_set_parameter_preimage(bset, T);
+
+ set = isl_basic_set_lexmin(bset);
+ set = set_parameter_preimage(set, T2);
+ set = set_append_equalities(set, eq);
+ return set;
+}
+
+/* Compute an explicit representation for all the existentially
+ * quantified variables.
+ * The input and output dimensions are first turned into parameters.
+ * compute_divs then returns a map with the same parameters and
+ * no input or output dimensions and the dimension specification
+ * is reset to that of the input.
+ */
+static struct isl_map *compute_divs(struct isl_basic_map *bmap)
+{
+ struct isl_basic_set *bset;
+ struct isl_set *set;
+ struct isl_map *map;
+ struct isl_dim *dim, *orig_dim = NULL;
+ unsigned nparam;
+ unsigned n_in;
+ unsigned n_out;
+
+ bmap = isl_basic_map_cow(bmap);
+ if (!bmap)
+ return NULL;
+
+ nparam = isl_basic_map_dim(bmap, isl_dim_param);
+ n_in = isl_basic_map_dim(bmap, isl_dim_in);
+ n_out = isl_basic_map_dim(bmap, isl_dim_out);
+ dim = isl_dim_set_alloc(bmap->ctx, nparam + n_in + n_out, 0);
+ if (!dim)
+ goto error;
+
+ orig_dim = bmap->dim;
+ bmap->dim = dim;
+ bset = (struct isl_basic_set *)bmap;
+
+ set = parameter_compute_divs(bset);
+ map = (struct isl_map *)set;
+ map = isl_map_reset_dim(map, orig_dim);
+
+ return map;
+error:
+ isl_basic_map_free(bmap);
+ return NULL;
+}
+
/* If bmap contains any unknown divs, then compute explicit
* expressions for them. However, this computation may be
* quite expensive, so first try to remove divs that aren't
break;
if (i == bmap->n_div)
return isl_map_from_basic_map(bmap);
- struct isl_map *map = isl_pip_basic_map_compute_divs(bmap);
+ struct isl_map *map = compute_divs(bmap);
return map;
error:
isl_basic_map_free(bmap);
projects / platform / upstream / isl.git / blobdiff