-
-/* Project the given basic set onto its parameter domain, possibly introducing
- * new, explicit, existential variables in the constraints.
- * The input has parameters and output variables.
- * The output has the same parameters, but no output variables, only
- * explicit existentially quantified variables.
- */
-static struct isl_set *compute_divs_no_eq(struct isl_basic_set *bset)
-{
- PipMatrix *domain = NULL, *context = NULL;
- PipOptions *options;
- PipQuast *sol;
- struct isl_ctx *ctx;
- struct isl_dim *dim;
- struct isl_map *map;
- struct isl_set *set;
- struct isl_basic_set *dom;
- unsigned nparam;
-
- if (!bset)
- goto error;
-
- ctx = bset->ctx;
- nparam = isl_basic_set_n_param(bset);
-
- domain = isl_basic_set_to_pip(bset, nparam, 0, 0);
- if (!domain)
- goto error;
- context = pip_matrix_alloc(0, nparam + 2);
- if (!context)
- goto error;
-
- options = pip_options_init();
- options->Simplify = 1;
- options->Urs_unknowns = -1;
- options->Urs_parms = -1;
- sol = pip_solve(domain, context, -1, options);
-
- dom = isl_basic_set_alloc(ctx, nparam, 0, 0, 0, 0);
- map = isl_map_from_quast(ctx, sol, isl_dim_copy(dom->dim), dom, NULL);
- set = (struct isl_set *)map;
-
- pip_quast_free(sol);
- pip_options_free(options);
- pip_matrix_free(domain);
- pip_matrix_free(context);
-
- isl_basic_set_free(bset);
-
- return set;
-error:
- if (domain)
- pip_matrix_free(domain);
- if (context)
- pip_matrix_free(context);
- isl_basic_set_free(dom);
- isl_basic_set_free(bset);
- 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 *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 compute_divs_no_eq(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 compute_divs_no_eq(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 = compute_divs_no_eq(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.
- */
-struct isl_map *isl_pip_basic_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 = 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;
-}