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- /*
- * Copyright 2008-2009 Katholieke Universiteit Leuven
- *
- * 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
- */
- #include <isl_ctx_private.h>
- #include <isl_map_private.h>
- #include "isl_basis_reduction.h"
- #include "isl_scan.h"
- #include <isl_seq.h>
- #include "isl_tab.h"
- #include <isl_val_private.h>
- #include <isl_vec_private.h>
- struct isl_counter {
- struct isl_scan_callback callback;
- isl_int count;
- isl_int max;
- };
- static isl_stat increment_counter(struct isl_scan_callback *cb,
- __isl_take isl_vec *sample)
- {
- struct isl_counter *cnt = (struct isl_counter *)cb;
- isl_int_add_ui(cnt->count, cnt->count, 1);
- isl_vec_free(sample);
- if (isl_int_is_zero(cnt->max) || isl_int_lt(cnt->count, cnt->max))
- return isl_stat_ok;
- return isl_stat_error;
- }
- static int increment_range(struct isl_scan_callback *cb, isl_int min, isl_int max)
- {
- struct isl_counter *cnt = (struct isl_counter *)cb;
- isl_int_add(cnt->count, cnt->count, max);
- isl_int_sub(cnt->count, cnt->count, min);
- isl_int_add_ui(cnt->count, cnt->count, 1);
- if (isl_int_is_zero(cnt->max) || isl_int_lt(cnt->count, cnt->max))
- return 0;
- isl_int_set(cnt->count, cnt->max);
- return -1;
- }
- /* Call callback->add with the current sample value of the tableau "tab".
- */
- static int add_solution(struct isl_tab *tab, struct isl_scan_callback *callback)
- {
- struct isl_vec *sample;
- if (!tab)
- return -1;
- sample = isl_tab_get_sample_value(tab);
- if (!sample)
- return -1;
- return callback->add(callback, sample);
- }
- static isl_stat scan_0D(__isl_take isl_basic_set *bset,
- struct isl_scan_callback *callback)
- {
- struct isl_vec *sample;
- sample = isl_vec_alloc(bset->ctx, 1);
- isl_basic_set_free(bset);
- if (!sample)
- return isl_stat_error;
- isl_int_set_si(sample->el[0], 1);
- return callback->add(callback, sample);
- }
- /* Look for all integer points in "bset", which is assumed to be bounded,
- * and call callback->add on each of them.
- *
- * We first compute a reduced basis for the set and then scan
- * the set in the directions of this basis.
- * We basically perform a depth first search, where in each level i
- * we compute the range in the i-th basis vector direction, given
- * fixed values in the directions of the previous basis vector.
- * We then add an equality to the tableau fixing the value in the
- * direction of the current basis vector to each value in the range
- * in turn and then continue to the next level.
- *
- * The search is implemented iteratively. "level" identifies the current
- * basis vector. "init" is true if we want the first value at the current
- * level and false if we want the next value.
- * Solutions are added in the leaves of the search tree, i.e., after
- * we have fixed a value in each direction of the basis.
- */
- isl_stat isl_basic_set_scan(__isl_take isl_basic_set *bset,
- struct isl_scan_callback *callback)
- {
- isl_size dim;
- struct isl_mat *B = NULL;
- struct isl_tab *tab = NULL;
- struct isl_vec *min;
- struct isl_vec *max;
- struct isl_tab_undo **snap;
- int level;
- int init;
- enum isl_lp_result res;
- dim = isl_basic_set_dim(bset, isl_dim_all);
- if (dim < 0) {
- bset = isl_basic_set_free(bset);
- return isl_stat_error;
- }
- if (dim == 0)
- return scan_0D(bset, callback);
- min = isl_vec_alloc(bset->ctx, dim);
- max = isl_vec_alloc(bset->ctx, dim);
- snap = isl_alloc_array(bset->ctx, struct isl_tab_undo *, dim);
- if (!min || !max || !snap)
- goto error;
- tab = isl_tab_from_basic_set(bset, 0);
- if (!tab)
- goto error;
- if (isl_tab_extend_cons(tab, dim + 1) < 0)
- goto error;
- tab->basis = isl_mat_identity(bset->ctx, 1 + dim);
- if (1)
- tab = isl_tab_compute_reduced_basis(tab);
- if (!tab)
- goto error;
- B = isl_mat_copy(tab->basis);
- if (!B)
- goto error;
- level = 0;
- init = 1;
- while (level >= 0) {
- int empty = 0;
- if (init) {
- res = isl_tab_min(tab, B->row[1 + level],
- bset->ctx->one, &min->el[level], NULL, 0);
- if (res == isl_lp_empty)
- empty = 1;
- if (res == isl_lp_error || res == isl_lp_unbounded)
- goto error;
- isl_seq_neg(B->row[1 + level] + 1,
- B->row[1 + level] + 1, dim);
- res = isl_tab_min(tab, B->row[1 + level],
- bset->ctx->one, &max->el[level], NULL, 0);
- isl_seq_neg(B->row[1 + level] + 1,
- B->row[1 + level] + 1, dim);
- isl_int_neg(max->el[level], max->el[level]);
- if (res == isl_lp_empty)
- empty = 1;
- if (res == isl_lp_error || res == isl_lp_unbounded)
- goto error;
- snap[level] = isl_tab_snap(tab);
- } else
- isl_int_add_ui(min->el[level], min->el[level], 1);
- if (empty || isl_int_gt(min->el[level], max->el[level])) {
- level--;
- init = 0;
- if (level >= 0)
- if (isl_tab_rollback(tab, snap[level]) < 0)
- goto error;
- continue;
- }
- if (level == dim - 1 && callback->add == increment_counter) {
- if (increment_range(callback,
- min->el[level], max->el[level]))
- goto error;
- level--;
- init = 0;
- if (level >= 0)
- if (isl_tab_rollback(tab, snap[level]) < 0)
- goto error;
- continue;
- }
- isl_int_neg(B->row[1 + level][0], min->el[level]);
- if (isl_tab_add_valid_eq(tab, B->row[1 + level]) < 0)
- goto error;
- isl_int_set_si(B->row[1 + level][0], 0);
- if (level < dim - 1) {
- ++level;
- init = 1;
- continue;
- }
- if (add_solution(tab, callback) < 0)
- goto error;
- init = 0;
- if (isl_tab_rollback(tab, snap[level]) < 0)
- goto error;
- }
- isl_tab_free(tab);
- free(snap);
- isl_vec_free(min);
- isl_vec_free(max);
- isl_basic_set_free(bset);
- isl_mat_free(B);
- return isl_stat_ok;
- error:
- isl_tab_free(tab);
- free(snap);
- isl_vec_free(min);
- isl_vec_free(max);
- isl_basic_set_free(bset);
- isl_mat_free(B);
- return isl_stat_error;
- }
- isl_stat isl_set_scan(__isl_take isl_set *set,
- struct isl_scan_callback *callback)
- {
- int i;
- if (!set || !callback)
- goto error;
- set = isl_set_cow(set);
- set = isl_set_make_disjoint(set);
- set = isl_set_compute_divs(set);
- if (!set)
- goto error;
- for (i = 0; i < set->n; ++i)
- if (isl_basic_set_scan(isl_basic_set_copy(set->p[i]),
- callback) < 0)
- goto error;
- isl_set_free(set);
- return isl_stat_ok;
- error:
- isl_set_free(set);
- return isl_stat_error;
- }
- int isl_basic_set_count_upto(__isl_keep isl_basic_set *bset,
- isl_int max, isl_int *count)
- {
- struct isl_counter cnt = { { &increment_counter } };
- if (!bset)
- return -1;
- isl_int_init(cnt.count);
- isl_int_init(cnt.max);
- isl_int_set_si(cnt.count, 0);
- isl_int_set(cnt.max, max);
- if (isl_basic_set_scan(isl_basic_set_copy(bset), &cnt.callback) < 0 &&
- isl_int_lt(cnt.count, cnt.max))
- goto error;
- isl_int_set(*count, cnt.count);
- isl_int_clear(cnt.max);
- isl_int_clear(cnt.count);
- return 0;
- error:
- isl_int_clear(cnt.count);
- return -1;
- }
- int isl_set_count_upto(__isl_keep isl_set *set, isl_int max, isl_int *count)
- {
- struct isl_counter cnt = { { &increment_counter } };
- if (!set)
- return -1;
- isl_int_init(cnt.count);
- isl_int_init(cnt.max);
- isl_int_set_si(cnt.count, 0);
- isl_int_set(cnt.max, max);
- if (isl_set_scan(isl_set_copy(set), &cnt.callback) < 0 &&
- isl_int_lt(cnt.count, cnt.max))
- goto error;
- isl_int_set(*count, cnt.count);
- isl_int_clear(cnt.max);
- isl_int_clear(cnt.count);
- return 0;
- error:
- isl_int_clear(cnt.count);
- return -1;
- }
- int isl_set_count(__isl_keep isl_set *set, isl_int *count)
- {
- if (!set)
- return -1;
- return isl_set_count_upto(set, set->ctx->zero, count);
- }
- /* Count the total number of elements in "set" (in an inefficient way) and
- * return the result.
- */
- __isl_give isl_val *isl_set_count_val(__isl_keep isl_set *set)
- {
- isl_val *v;
- if (!set)
- return NULL;
- v = isl_val_zero(isl_set_get_ctx(set));
- v = isl_val_cow(v);
- if (!v)
- return NULL;
- if (isl_set_count(set, &v->n) < 0)
- v = isl_val_free(v);
- return v;
- }
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