/*
* Copyright 2008-2009 Katholieke Universiteit Leuven
*
- * Use of this software is governed by the GNU LGPLv2.1 license
+ * 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.h>
+#include <isl_ctx_private.h>
+#include <isl_map_private.h>
#include <isl/lp.h>
-#include "isl_lp_piplib.h"
-#include <isl/seq.h>
+#include <isl_seq.h>
#include "isl_tab.h"
-#include "isl_map_private.h"
+#include <isl_options_private.h>
+#include <isl_local_space_private.h>
+#include <isl_aff_private.h>
+#include <isl_mat_private.h>
+#include <isl_val_private.h>
+#include <isl_vec_private.h>
-enum isl_lp_result isl_tab_solve_lp(struct isl_basic_map *bmap, int maximize,
- isl_int *f, isl_int denom, isl_int *opt,
- isl_int *opt_denom,
- struct isl_vec **sol)
+#include <bset_to_bmap.c>
+#include <set_to_map.c>
+
+enum isl_lp_result isl_tab_solve_lp(__isl_keep isl_basic_map *bmap,
+ int maximize, isl_int *f, isl_int denom, isl_int *opt,
+ isl_int *opt_denom, __isl_give isl_vec **sol)
{
struct isl_tab *tab;
enum isl_lp_result res;
- unsigned dim = isl_basic_map_total_dim(bmap);
+ isl_size dim = isl_basic_map_dim(bmap, isl_dim_all);
+ if (dim < 0)
+ return isl_lp_error;
if (maximize)
isl_seq_neg(f, f, 1 + dim);
bmap = isl_basic_map_gauss(bmap, NULL);
- tab = isl_tab_from_basic_map(bmap);
+ tab = isl_tab_from_basic_map(bmap, 0);
res = isl_tab_min(tab, f, denom, opt, opt_denom, 0);
if (res == isl_lp_ok && sol) {
*sol = isl_tab_get_sample_value(tab);
@@ -45,19 +54,18 @@ enum isl_lp_result isl_tab_solve_lp(struct isl_basic_map *bmap, int maximize,
}
/* Given a basic map "bmap" and an affine combination of the variables "f"
- * with denominator "denom", set *opt/*opt_denom to the minimal
+ * with denominator "denom", set *opt / *opt_denom to the minimal
* (or maximal if "maximize" is true) value attained by f/d over "bmap",
* assuming the basic map is not empty and the expression cannot attain
* arbitrarily small (or large) values.
* If opt_denom is NULL, then *opt is rounded up (or down)
* to the nearest integer.
* The return value reflects the nature of the result (empty, unbounded,
- * minmimal or maximal value returned in *opt).
+ * minimal or maximal value returned in *opt).
*/
-enum isl_lp_result isl_basic_map_solve_lp(struct isl_basic_map *bmap, int max,
- isl_int *f, isl_int d, isl_int *opt,
- isl_int *opt_denom,
- struct isl_vec **sol)
+enum isl_lp_result isl_basic_map_solve_lp(__isl_keep isl_basic_map *bmap,
+ int max, isl_int *f, isl_int d, isl_int *opt, isl_int *opt_denom,
+ __isl_give isl_vec **sol)
{
if (sol)
*sol = NULL;
@@ -65,29 +73,21 @@ enum isl_lp_result isl_basic_map_solve_lp(struct isl_basic_map *bmap, int max,
if (!bmap)
return isl_lp_error;
- switch (bmap->ctx->opt->lp_solver) {
- case ISL_LP_PIP:
- return isl_pip_solve_lp(bmap, max, f, d, opt, opt_denom, sol);
- case ISL_LP_TAB:
- return isl_tab_solve_lp(bmap, max, f, d, opt, opt_denom, sol);
- default:
- return isl_lp_error;
- }
+ return isl_tab_solve_lp(bmap, max, f, d, opt, opt_denom, sol);
}
-enum isl_lp_result isl_basic_set_solve_lp(struct isl_basic_set *bset, int max,
- isl_int *f, isl_int d, isl_int *opt,
- isl_int *opt_denom,
- struct isl_vec **sol)
+enum isl_lp_result isl_basic_set_solve_lp(__isl_keep isl_basic_set *bset,
+ int max, isl_int *f, isl_int d, isl_int *opt, isl_int *opt_denom,
+ __isl_give isl_vec **sol)
{
- return isl_basic_map_solve_lp((struct isl_basic_map *)bset, max,
+ return isl_basic_map_solve_lp(bset_to_bmap(bset), max,
f, d, opt, opt_denom, sol);
}
enum isl_lp_result isl_map_solve_lp(__isl_keep isl_map *map, int max,
isl_int *f, isl_int d, isl_int *opt,
isl_int *opt_denom,
- struct isl_vec **sol)
+ __isl_give isl_vec **sol)
{
int i;
isl_int o;
@@ -108,7 +108,9 @@ enum isl_lp_result isl_map_solve_lp(__isl_keep isl_map *map, int max,
if (map->p[i]->n_div > max_div)
max_div = map->p[i]->n_div;
if (max_div > 0) {
- unsigned total = isl_dim_total(map->dim);
+ isl_size total = isl_map_dim(map, isl_dim_all);
+ if (total < 0)
+ return isl_lp_error;
v = isl_vec_alloc(map->ctx, 1 + total + max_div);
if (!v)
return isl_lp_error;
enum isl_lp_result isl_set_solve_lp(__isl_keep isl_set *set, int max,
isl_int *f, isl_int d, isl_int *opt,
isl_int *opt_denom,
- struct isl_vec **sol)
+ __isl_give isl_vec **sol)
{
- return isl_map_solve_lp((struct isl_map *)set, max,
+ return isl_map_solve_lp(set_to_map(set), max,
f, d, opt, opt_denom, sol);
}
+
+/* Return the optimal (rational) value of "obj" over "bset", assuming
+ * that "obj" and "bset" have aligned parameters and divs.
+ * If "max" is set, then the maximal value is computed.
+ * Otherwise, the minimal value is computed.
+ *
+ * Return infinity or negative infinity if the optimal value is unbounded and
+ * NaN if "bset" is empty.
+ *
+ * Call isl_basic_set_solve_lp and translate the results.
+ */
+static __isl_give isl_val *basic_set_opt_lp(
+ __isl_keep isl_basic_set *bset, int max, __isl_keep isl_aff *obj)
+{
+ isl_ctx *ctx;
+ isl_val *res;
+ enum isl_lp_result lp_res;
+
+ if (!bset || !obj)
+ return NULL;
+
+ ctx = isl_aff_get_ctx(obj);
+ res = isl_val_alloc(ctx);
+ if (!res)
+ return NULL;
+ lp_res = isl_basic_set_solve_lp(bset, max, obj->v->el + 1,
+ obj->v->el[0], &res->n, &res->d, NULL);
+ if (lp_res == isl_lp_ok)
+ return isl_val_normalize(res);
+ isl_val_free(res);
+ if (lp_res == isl_lp_error)
+ return NULL;
+ if (lp_res == isl_lp_empty)
+ return isl_val_nan(ctx);
+ if (max)
+ return isl_val_infty(ctx);
+ else
+ return isl_val_neginfty(ctx);
+}
+
+/* Return the optimal (rational) value of "obj" over "bset", assuming
+ * that "obj" and "bset" have aligned parameters.
+ * If "max" is set, then the maximal value is computed.
+ * Otherwise, the minimal value is computed.
+ *
+ * Return infinity or negative infinity if the optimal value is unbounded and
+ * NaN if "bset" is empty.
+ *
+ * Align the divs of "bset" and "obj" and call basic_set_opt_lp.
+ */
+static __isl_give isl_val *isl_basic_set_opt_lp_val_aligned(
+ __isl_keep isl_basic_set *bset, int max, __isl_keep isl_aff *obj)
+{
+ int *exp1 = NULL;
+ int *exp2 = NULL;
+ isl_ctx *ctx;
+ isl_mat *bset_div = NULL;
+ isl_mat *div = NULL;
+ isl_val *res;
+ isl_size bset_n_div, obj_n_div;
+
+ if (!bset || !obj)
+ return NULL;
+
+ ctx = isl_aff_get_ctx(obj);
+ if (!isl_space_is_equal(bset->dim, obj->ls->dim))
+ isl_die(ctx, isl_error_invalid,
+ "spaces don't match", return NULL);
+
+ bset_n_div = isl_basic_set_dim(bset, isl_dim_div);
+ obj_n_div = isl_aff_dim(obj, isl_dim_div);
+ if (bset_n_div < 0 || obj_n_div < 0)
+ return NULL;
+ if (bset_n_div == 0 && obj_n_div == 0)
+ return basic_set_opt_lp(bset, max, obj);
+
+ bset = isl_basic_set_copy(bset);
+ obj = isl_aff_copy(obj);
+
+ bset_div = isl_basic_set_get_divs(bset);
+ exp1 = isl_alloc_array(ctx, int, bset_n_div);
+ exp2 = isl_alloc_array(ctx, int, obj_n_div);
+ if (!bset_div || (bset_n_div && !exp1) || (obj_n_div && !exp2))
+ goto error;
+
+ div = isl_merge_divs(bset_div, obj->ls->div, exp1, exp2);
+
+ bset = isl_basic_set_expand_divs(bset, isl_mat_copy(div), exp1);
+ obj = isl_aff_expand_divs(obj, isl_mat_copy(div), exp2);
+
+ res = basic_set_opt_lp(bset, max, obj);
+
+ isl_mat_free(bset_div);
+ isl_mat_free(div);
+ free(exp1);
+ free(exp2);
+ isl_basic_set_free(bset);
+ isl_aff_free(obj);
+
+ return res;
+error:
+ isl_mat_free(div);
+ isl_mat_free(bset_div);
+ free(exp1);
+ free(exp2);
+ isl_basic_set_free(bset);
+ isl_aff_free(obj);
+ return NULL;
+}
+
+/* Return the optimal (rational) value of "obj" over "bset".
+ * If "max" is set, then the maximal value is computed.
+ * Otherwise, the minimal value is computed.
+ *
+ * Return infinity or negative infinity if the optimal value is unbounded and
+ * NaN if "bset" is empty.
+ */
+static __isl_give isl_val *isl_basic_set_opt_lp_val(
+ __isl_keep isl_basic_set *bset, int max, __isl_keep isl_aff *obj)
+{
+ isl_bool equal;
+ isl_val *res;
+
+ if (!bset || !obj)
+ return NULL;
+
+ equal = isl_basic_set_space_has_equal_params(bset, obj->ls->dim);
+ if (equal < 0)
+ return NULL;
+ if (equal)
+ return isl_basic_set_opt_lp_val_aligned(bset, max, obj);
+
+ bset = isl_basic_set_copy(bset);
+ obj = isl_aff_copy(obj);
+ bset = isl_basic_set_align_params(bset, isl_aff_get_domain_space(obj));
+ obj = isl_aff_align_params(obj, isl_basic_set_get_space(bset));
+
+ res = isl_basic_set_opt_lp_val_aligned(bset, max, obj);
+
+ isl_basic_set_free(bset);
+ isl_aff_free(obj);
+
+ return res;
+}
+
+/* Return the minimal (rational) value of "obj" over "bset".
+ *
+ * Return negative infinity if the minimal value is unbounded and
+ * NaN if "bset" is empty.
+ */
+__isl_give isl_val *isl_basic_set_min_lp_val(__isl_keep isl_basic_set *bset,
+ __isl_keep isl_aff *obj)
+{
+ return isl_basic_set_opt_lp_val(bset, 0, obj);
+}
+
+/* Return the maximal (rational) value of "obj" over "bset".
+ *
+ * Return infinity if the maximal value is unbounded and
+ * NaN if "bset" is empty.
+ */
+__isl_give isl_val *isl_basic_set_max_lp_val(__isl_keep isl_basic_set *bset,
+ __isl_keep isl_aff *obj)
+{
+ return isl_basic_set_opt_lp_val(bset, 1, obj);
+}