llvm/polly/lib/External/isl/isl_lp.c

/*
 * 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/lp.h>
#include <isl_seq.h>
#include "isl_tab.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>

#include <bset_to_bmap.c>
#include <set_to_map.c>

static 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)
{ … }

/* Given a basic map "bmap" and an affine combination of the variables "f"
 * 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,
 * minimal or maximal value returned in *opt).
 */
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)
{ … }

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)
{ … }

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,
				      __isl_give isl_vec **sol)
{ … }

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,
				      __isl_give isl_vec **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)
{ … }

/* 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)
{ … }

/* 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)
{ … }

/* 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 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)
{ … }