/*

 * 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

 */

#ifndef ISL_MAP_PRIVATE_H

#define ISL_MAP_PRIVATE_H

#define isl_basic_set isl_basic_map

#define isl_maybe_isl_basic_set isl_maybe_isl_basic_map

#define isl_set   isl_map

#define isl_basic_set_list  isl_basic_map_list

#define isl_set_list  isl_map_list

#include <isl/list.h>

#include <isl/set.h>

#include <isl/map.h>

#include <isl_reordering.h>

#include <isl/vec.h>

#include <isl/hash.h>

#include <isl_blk.h>

/* A "basic map" is a relation between two sets of variables,

 * called the "in" and "out" variables.

 * A "basic set" is a basic map with a zero-dimensional

 * domain.

 *

 * It is implemented as a set with two extra fields:

 * n_in is the number of in variables

 * n_out is the number of out variables

 * n_in + n_out should be equal to set.dim

 */

struct isl_basic_map {

  int ref;

#define ISL_BASIC_MAP_FINAL   (1 << 0)

#define ISL_BASIC_MAP_EMPTY   (1 << 1)

#define ISL_BASIC_MAP_NO_IMPLICIT (1 << 2)

#define ISL_BASIC_MAP_NO_REDUNDANT  (1 << 3)

#define ISL_BASIC_MAP_RATIONAL    (1 << 4)

#define ISL_BASIC_MAP_NORMALIZED  (1 << 5)

#define ISL_BASIC_MAP_NORMALIZED_DIVS (1 << 6)

#define ISL_BASIC_MAP_ALL_EQUALITIES  (1 << 7)

#define ISL_BASIC_MAP_REDUCED_COEFFICIENTS  (1 << 8)

#define ISL_BASIC_SET_FINAL   (1 << 0)

#define ISL_BASIC_SET_EMPTY   (1 << 1)

#define ISL_BASIC_SET_NO_IMPLICIT (1 << 2)

#define ISL_BASIC_SET_NO_REDUNDANT  (1 << 3)

#define ISL_BASIC_SET_RATIONAL    (1 << 4)

#define ISL_BASIC_SET_NORMALIZED  (1 << 5)

#define ISL_BASIC_SET_NORMALIZED_DIVS (1 << 6)

#define ISL_BASIC_SET_ALL_EQUALITIES  (1 << 7)

#define ISL_BASIC_SET_REDUCED_COEFFICIENTS  (1 << 8)

  unsigned flags;

  struct isl_ctx *ctx;

  isl_space *dim;

  unsigned extra;

  unsigned n_eq;

  unsigned n_ineq;

  size_t c_size;

  isl_int **eq;

  isl_int **ineq;

  unsigned n_div;

  isl_int **div;

  struct isl_vec *sample;

  struct isl_blk block;

  struct isl_blk block2;

};

#undef EL

#define EL isl_basic_set

#include <isl_list_templ.h>

/* A "map" is a (possibly disjoint) union of basic maps.

 * A "set" is a (possibly disjoint) union of basic sets.

 *

 * Currently, the isl_set structure is identical to the isl_map structure

 * and the library depends on this correspondence internally.

 * However, users should not depend on this correspondence.

 *

 * "cached_simple_hull" contains copies of the unshifted and shifted

 * simple hulls, if they have already been computed.  Otherwise,

 * the entries are NULL.

 */

struct isl_map {

  int ref;

#define ISL_MAP_DISJOINT    (1 << 0)

#define ISL_MAP_NORMALIZED    (1 << 1)

#define ISL_SET_DISJOINT    (1 << 0)

#define ISL_SET_NORMALIZED    (1 << 1)

  unsigned flags;

  isl_basic_map *cached_simple_hull[2];

  struct isl_ctx *ctx;

  isl_space *dim;

  int n;

  size_t size;

  struct isl_basic_map *p[1];

};

#undef EL

#define EL isl_set

#include <isl_list_templ.h>

__isl_give isl_basic_set *isl_basic_set_alloc(isl_ctx *ctx,

  unsigned nparam, unsigned dim, unsigned extra,

  unsigned n_eq, unsigned n_ineq);

__isl_give isl_basic_set *isl_basic_set_extend(__isl_take isl_basic_set *base,

  unsigned nparam, unsigned dim, unsigned extra,

  unsigned n_eq, unsigned n_ineq);

__isl_give isl_basic_set *isl_basic_set_extend_constraints(

  __isl_take isl_basic_set *base, unsigned n_eq, unsigned n_ineq);

__isl_give isl_basic_set *isl_basic_set_finalize(

  __isl_take isl_basic_set *bset);

__isl_give isl_basic_set *isl_basic_set_dup(__isl_keep isl_basic_set *bset);

__isl_give isl_basic_set *isl_basic_set_simplify(

  __isl_take isl_basic_set *bset);

__isl_give isl_basic_map *isl_basic_map_alloc(isl_ctx *ctx,

  unsigned nparam, unsigned in, unsigned out, unsigned extra,

  unsigned n_eq, unsigned n_ineq);

__isl_give isl_basic_map *isl_basic_map_mark_final(

  __isl_take isl_basic_map *bmap);

__isl_give isl_basic_map *isl_basic_map_finalize(

  __isl_take isl_basic_map *bmap);

__isl_give isl_basic_map *isl_basic_map_extend(__isl_take isl_basic_map *base,

  unsigned nparam, unsigned n_in, unsigned n_out, unsigned extra,

  unsigned n_eq, unsigned n_ineq);

__isl_give isl_basic_map *isl_basic_map_extend_constraints(

  __isl_take isl_basic_map *base, unsigned n_eq, unsigned n_ineq);

__isl_give isl_basic_map *isl_basic_map_simplify(

  __isl_take isl_basic_map *bmap);

__isl_give isl_set *isl_set_add_basic_set(__isl_take isl_set *set,

  __isl_take isl_basic_set *bset);

__isl_give isl_map *isl_map_add_basic_map(__isl_take isl_map *map,

  __isl_take isl_basic_map *bmap);

__isl_give isl_map *isl_map_dup(__isl_keep isl_map *map);

__isl_give isl_basic_set *isl_basic_set_from_underlying_set(

  __isl_take isl_basic_set *bset, __isl_take isl_basic_set *like);

__isl_give isl_map *isl_map_realign(__isl_take isl_map *map,

  __isl_take isl_reordering *r);

__isl_give isl_set *isl_set_realign(__isl_take isl_set *set,

  __isl_take isl_reordering *r);

__isl_give isl_basic_map *isl_basic_map_reset(__isl_take isl_basic_map *bmap,

  enum isl_dim_type type);

__isl_give isl_map *isl_map_reset(__isl_take isl_map *map,

  enum isl_dim_type type);

__isl_keep isl_space *isl_basic_map_peek_space(

  __isl_keep const isl_basic_map *bmap);

__isl_keep isl_space *isl_basic_set_peek_space(__isl_keep isl_basic_set *bset);

__isl_keep isl_space *isl_map_peek_space(__isl_keep const isl_map *map);

__isl_give isl_basic_set *isl_basic_set_reset_space(

  __isl_take isl_basic_set *bset, __isl_take isl_space *dim);

__isl_give isl_basic_map *isl_basic_map_reset_space(

  __isl_take isl_basic_map *bmap, __isl_take isl_space *dim);

__isl_give isl_map *isl_map_reset_space(__isl_take isl_map *map,

  __isl_take isl_space *dim);

__isl_give isl_map *isl_map_reset_equal_dim_space(__isl_take isl_map *map,

  __isl_take isl_space *space);

unsigned isl_basic_map_offset(struct isl_basic_map *bmap,

          enum isl_dim_type type);

unsigned isl_basic_set_offset(__isl_keep isl_basic_set *bset,

          enum isl_dim_type type);

isl_bool isl_basic_map_may_be_set(__isl_keep isl_basic_map *bmap);

int isl_map_may_be_set(__isl_keep isl_map *map);

isl_bool isl_map_compatible_domain(__isl_keep isl_map *map,

  __isl_keep isl_set *set);

isl_bool isl_basic_map_compatible_domain(__isl_keep isl_basic_map *bmap,

  __isl_keep isl_basic_set *bset);

isl_bool isl_basic_map_compatible_range(__isl_keep isl_basic_map *bmap,

  __isl_keep isl_basic_set *bset);

__isl_give isl_basic_map *isl_basic_map_extend_space(

  __isl_take isl_basic_map *base, __isl_take isl_space *dim,

  unsigned extra, unsigned n_eq, unsigned n_ineq);

__isl_give isl_basic_set *isl_basic_set_extend_space(

  __isl_take isl_basic_set *base,

    __isl_take isl_space *dim, unsigned extra,

    unsigned n_eq, unsigned n_ineq);

struct isl_basic_set *isl_basic_set_add_constraints(struct isl_basic_set *bset1,

    struct isl_basic_set *bset2, unsigned pos);

__isl_give isl_map *isl_map_grow(__isl_take isl_map *map, int n);

struct isl_set *isl_set_grow(struct isl_set *set, int n);

isl_bool isl_basic_set_contains(__isl_keep isl_basic_set *bset,

  __isl_keep isl_vec *vec);

isl_bool isl_basic_map_contains(__isl_keep isl_basic_map *bmap,

  __isl_keep isl_vec *vec);

__isl_give isl_basic_set *isl_basic_set_alloc_space(__isl_take isl_space *dim,

    unsigned extra, unsigned n_eq, unsigned n_ineq);

__isl_give isl_set *isl_set_alloc_space(__isl_take isl_space *dim, int n,

  unsigned flags);

__isl_give isl_basic_map *isl_basic_map_alloc_space(__isl_take isl_space *dim,

    unsigned extra, unsigned n_eq, unsigned n_ineq);

__isl_give isl_map *isl_map_alloc_space(__isl_take isl_space *dim, int n,

  unsigned flags);

int isl_basic_map_alloc_equality(struct isl_basic_map *bmap);

int isl_basic_set_alloc_equality(struct isl_basic_set *bset);

int isl_basic_set_free_inequality(struct isl_basic_set *bset, unsigned n);

int isl_basic_map_free_equality(struct isl_basic_map *bmap, unsigned n);

int isl_basic_set_free_equality(struct isl_basic_set *bset, unsigned n);

int isl_basic_set_alloc_inequality(__isl_keep isl_basic_set *bset);

int isl_basic_map_alloc_inequality(__isl_keep isl_basic_map *bmap);

int isl_basic_map_free_inequality(struct isl_basic_map *bmap, unsigned n);

int isl_basic_map_alloc_div(struct isl_basic_map *bmap);

__isl_give isl_basic_map *isl_basic_map_insert_div(

  __isl_take isl_basic_map *bmap, int pos, __isl_keep isl_vec *div);

int isl_basic_set_alloc_div(struct isl_basic_set *bset);

isl_stat isl_basic_map_free_div(struct isl_basic_map *bmap, unsigned n);

__isl_give isl_basic_map *isl_basic_map_drop_div(

  __isl_take isl_basic_map *bmap, unsigned div);

void isl_basic_map_inequality_to_equality(

    struct isl_basic_map *bmap, unsigned pos);

int isl_basic_map_drop_equality(struct isl_basic_map *bmap, unsigned pos);

int isl_basic_set_drop_inequality(struct isl_basic_set *bset, unsigned pos);

int isl_basic_map_drop_inequality(struct isl_basic_map *bmap, unsigned pos);

__isl_give isl_basic_set *isl_basic_set_add_eq(__isl_take isl_basic_set *bset,

  isl_int *eq);

__isl_give isl_basic_map *isl_basic_map_add_eq(__isl_take isl_basic_map *bmap,

  isl_int *eq);

__isl_give isl_basic_set *isl_basic_set_add_ineq(__isl_take isl_basic_set *bset,

  isl_int *ineq);

__isl_give isl_basic_map *isl_basic_map_add_ineq(__isl_take isl_basic_map *bmap,

  isl_int *ineq);

__isl_give isl_basic_set *isl_basic_set_tighten_outward(

  __isl_take isl_basic_set *bset, __isl_keep isl_vec *vec);

int isl_inequality_negate(struct isl_basic_map *bmap, unsigned pos);

__isl_give isl_basic_set *isl_basic_set_cow(__isl_take isl_basic_set *bset);

__isl_give isl_basic_map *isl_basic_map_cow(__isl_take isl_basic_map *bmap);

__isl_give isl_set *isl_set_cow(__isl_take isl_set *set);

__isl_give isl_map *isl_map_cow(__isl_take isl_map *map);

uint32_t isl_basic_map_get_hash(__isl_keep isl_basic_map *bmap);

__isl_give isl_set *isl_basic_set_list_union(

  __isl_take isl_basic_set_list *list);

__isl_give isl_basic_map *isl_basic_map_set_to_empty(

  __isl_take isl_basic_map *bmap);

__isl_give isl_basic_set *isl_basic_set_set_to_empty(

  __isl_take isl_basic_set *bset);

struct isl_basic_set *isl_basic_set_order_divs(struct isl_basic_set *bset);

void isl_basic_map_swap_div(struct isl_basic_map *bmap, int a, int b);

void isl_basic_set_swap_div(struct isl_basic_set *bset, int a, int b);

__isl_give isl_basic_map *isl_basic_map_order_divs(

  __isl_take isl_basic_map *bmap);

__isl_give isl_map *isl_map_order_divs(__isl_take isl_map *map);

__isl_give isl_basic_map *isl_basic_map_align_divs(

  __isl_take isl_basic_map *dst, __isl_keep isl_basic_map *src);

__isl_give isl_map *isl_map_align_divs_to_basic_map_list(

  __isl_take isl_map *map, __isl_keep isl_basic_map_list *list);

__isl_give isl_basic_map_list *isl_basic_map_list_align_divs_to_basic_map(

  __isl_take isl_basic_map_list *list, __isl_keep isl_basic_map *bmap);

__isl_give isl_map *isl_map_align_divs_internal(__isl_take isl_map *map);

__isl_give isl_basic_set *isl_basic_set_sort_divs(

  __isl_take isl_basic_set *bset);

__isl_give isl_basic_map *isl_basic_map_sort_divs(

  __isl_take isl_basic_map *bmap);

__isl_give isl_map *isl_map_sort_divs(__isl_take isl_map *map);

__isl_give isl_basic_map *isl_basic_map_gauss(__isl_take isl_basic_map *bmap,

  int *progress);

__isl_give isl_basic_set *isl_basic_set_gauss(

  __isl_take isl_basic_set *bset, int *progress);

int isl_basic_map_constraint_cmp(__isl_keep isl_basic_map *bmap,

  isl_int *c1, isl_int *c2);

__isl_give isl_basic_map *isl_basic_map_sort_constraints(

  __isl_take isl_basic_map *bmap);

__isl_give isl_basic_set *isl_basic_set_sort_constraints(

  __isl_take isl_basic_set *bset);

int isl_basic_map_plain_cmp(__isl_keep isl_basic_map *bmap1,

  __isl_keep isl_basic_map *bmap2);

isl_bool isl_basic_map_plain_is_equal(__isl_keep isl_basic_map *bmap1,

  __isl_keep isl_basic_map *bmap2);

__isl_give isl_basic_map *isl_basic_map_normalize_constraints(

  __isl_take isl_basic_map *bmap);

__isl_give isl_basic_set *isl_basic_set_normalize_constraints(

  __isl_take isl_basic_set *bset);

__isl_give isl_basic_map *isl_basic_map_implicit_equalities(

  __isl_take isl_basic_map *bmap);

__isl_give isl_basic_set *isl_basic_map_underlying_set(

  __isl_take isl_basic_map *bmap);

__isl_give isl_basic_set *isl_basic_set_underlying_set(

    __isl_take isl_basic_set *bset);

__isl_give isl_basic_set_list *isl_basic_map_list_underlying_set(

  __isl_take isl_basic_map_list *list);

__isl_give isl_set *isl_map_underlying_set(__isl_take isl_map *map);

__isl_give isl_basic_map *isl_basic_map_overlying_set(

  __isl_take isl_basic_set *bset, __isl_take isl_basic_map *like);

__isl_give isl_basic_map *isl_basic_map_drop_constraint_involving_unknown_divs(

  __isl_take isl_basic_map *bmap);

__isl_give isl_map *isl_map_drop_constraint_involving_unknown_divs(

  __isl_take isl_map *map);

__isl_give isl_basic_set *isl_basic_set_drop_constraints_involving(

  __isl_take isl_basic_set *bset, unsigned first, unsigned n);

__isl_give isl_basic_set *isl_basic_set_drop(__isl_take isl_basic_set *bset,

  enum isl_dim_type type, unsigned first, unsigned n);

__isl_give isl_basic_map *isl_basic_map_drop(__isl_take isl_basic_map *bmap,

  enum isl_dim_type type, unsigned first, unsigned n);

__isl_give isl_set *isl_set_drop(__isl_take isl_set *set,

  enum isl_dim_type type, unsigned first, unsigned n);

__isl_give isl_basic_set *isl_basic_set_drop_dims(

  __isl_take isl_basic_set *bset, unsigned first, unsigned n);

__isl_give isl_map *isl_map_drop(__isl_take isl_map *map,

  enum isl_dim_type type, unsigned first, unsigned n);

__isl_give isl_basic_map *isl_basic_map_drop_unrelated_constraints(

  __isl_take isl_basic_map *bmap, __isl_take int *group);

__isl_give isl_basic_map *isl_basic_map_remove_duplicate_constraints(

  __isl_take isl_basic_map *bmap, int *progress, int detect_divs);

__isl_give isl_basic_map *isl_basic_map_detect_inequality_pairs(

  __isl_take isl_basic_map *bmap, int *progress);

__isl_give isl_map *isl_map_remove_empty_parts(__isl_take isl_map *map);

struct isl_set *isl_set_remove_empty_parts(struct isl_set *set);

__isl_give isl_map *isl_map_remove_obvious_duplicates(__isl_take isl_map *map);

struct isl_set *isl_set_normalize(struct isl_set *set);

struct isl_set *isl_set_drop_vars(

    struct isl_set *set, unsigned first, unsigned n);

__isl_give isl_basic_map *isl_basic_map_eliminate_vars(

  __isl_take isl_basic_map *bmap, unsigned pos, unsigned n);

struct isl_basic_set *isl_basic_set_eliminate_vars(

  struct isl_basic_set *bset, unsigned pos, unsigned n);

__isl_give isl_map *isl_map_eliminate(__isl_take isl_map *map,

  enum isl_dim_type type, unsigned first, unsigned n);

__isl_give isl_set *isl_set_eliminate(__isl_take isl_set *set,

  enum isl_dim_type type, unsigned first, unsigned n);

__isl_give isl_map *isl_map_project_onto(__isl_take isl_map *map,

  enum isl_dim_type type, unsigned first, unsigned n);

int isl_basic_map_add_div_constraint(__isl_keep isl_basic_map *bmap,

  unsigned div, int sign);

int isl_basic_map_add_div_constraints(struct isl_basic_map *bmap, unsigned div);

__isl_give isl_basic_map *isl_basic_map_add_known_div_constraints(

  __isl_take isl_basic_map *bmap);

__isl_give isl_basic_map *isl_basic_map_drop_redundant_divs(

  __isl_take isl_basic_map *bmap);

__isl_give isl_basic_set *isl_basic_set_recession_cone(

  __isl_take isl_basic_set *bset);

__isl_give isl_basic_set *isl_basic_set_lineality_space(

  __isl_take isl_basic_set *bset);

__isl_give isl_basic_set *isl_set_combined_lineality_space(

  __isl_take isl_set *set);

__isl_give isl_basic_set *isl_basic_set_set_integral(

  __isl_take isl_basic_set *bset);

__isl_give isl_basic_set *isl_basic_set_set_rational(

  __isl_take isl_basic_set *bset);

__isl_give isl_set *isl_set_set_rational(__isl_take isl_set *set);

__isl_give isl_basic_map *isl_basic_map_set_rational(

  __isl_take isl_basic_map *bmap);

__isl_give isl_map *isl_map_set_rational(__isl_take isl_map *map);

isl_bool isl_map_is_rational(__isl_keep isl_map *map);

isl_bool isl_set_is_rational(__isl_keep isl_set *set);

isl_bool isl_map_has_rational(__isl_keep isl_map *map);

isl_bool isl_set_has_rational(__isl_keep isl_set *set);

__isl_give isl_basic_map *isl_basic_map_from_multi_aff2(

  __isl_take isl_multi_aff *maff, int rational);

__isl_give isl_map *isl_map_from_multi_aff_internal(

  __isl_take isl_multi_aff *ma);

__isl_give isl_map *isl_map_from_pw_aff_internal(__isl_take isl_pw_aff *pa);

struct isl_mat;

__isl_give isl_basic_set *isl_basic_set_preimage(

  __isl_take isl_basic_set *bset, __isl_take isl_mat *mat);

__isl_give isl_set *isl_set_preimage(

  __isl_take isl_set *set, __isl_take isl_mat *mat);

__isl_give isl_basic_map *isl_basic_map_transform_dims(

  __isl_take isl_basic_map *bmap, enum isl_dim_type type, unsigned first,

  __isl_take isl_mat *trans);

__isl_give isl_basic_set *isl_basic_set_transform_dims(

  __isl_take isl_basic_set *bset, enum isl_dim_type type, unsigned first,

  __isl_take isl_mat *trans);

isl_int *isl_set_wrap_facet(__isl_keep isl_set *set,

  isl_int *facet, isl_int *ridge);

isl_bool isl_basic_map_contains_point(__isl_keep isl_basic_map *bmap,

  __isl_keep isl_point *point);

isl_bool isl_set_contains_point(__isl_keep isl_set *set,

  __isl_keep isl_point *point);

isl_stat isl_basic_set_vars_get_sign(__isl_keep isl_basic_set *bset,

  unsigned first, unsigned n, int *signs);

isl_stat isl_set_foreach_orthant(__isl_keep isl_set *set,

  isl_stat (*fn)(__isl_take isl_set *orthant, int *signs, void *user),

  void *user);

isl_bool isl_basic_set_eq_is_stride(__isl_keep isl_basic_set *bset, int i);

int isl_basic_map_add_div_constraints_var(__isl_keep isl_basic_map *bmap,

  unsigned pos, isl_int *div);

int isl_basic_set_add_div_constraints_var(__isl_keep isl_basic_set *bset,

  unsigned pos, isl_int *div);

isl_bool isl_basic_map_is_div_constraint(__isl_keep isl_basic_map *bmap,

  isl_int *constraint, unsigned div);

isl_bool isl_basic_set_is_div_constraint(__isl_keep isl_basic_set *bset,

  isl_int *constraint, unsigned div);

__isl_give isl_basic_set *isl_basic_set_from_local_space(

  __isl_take isl_local_space *ls);

__isl_give isl_basic_map *isl_basic_map_from_local_space(

  __isl_take isl_local_space *ls);

__isl_give isl_basic_set *isl_basic_set_expand_divs(

  __isl_take isl_basic_set *bset, __isl_take isl_mat *div, int *exp);

__isl_give isl_basic_map *isl_basic_map_expand_divs(

  __isl_take isl_basic_set *bmap, __isl_take isl_mat *div, int *exp);

int isl_basic_set_n_equality(__isl_keep isl_basic_set *bset);

int isl_basic_map_n_equality(__isl_keep isl_basic_map *bmap);

int isl_basic_set_n_inequality(__isl_keep isl_basic_set *bset);

int isl_basic_map_n_inequality(__isl_keep isl_basic_map *bmap);

__isl_give isl_basic_map *isl_basic_map_mark_div_unknown(

  __isl_take isl_basic_map *bmap, int div);

isl_bool isl_basic_map_div_is_marked_unknown(__isl_keep isl_basic_map *bmap,

  int div);

isl_bool isl_basic_map_div_is_known(__isl_keep isl_basic_map *bmap, int div);

int isl_basic_set_first_unknown_div(__isl_keep isl_basic_set *bset);

int isl_basic_map_first_unknown_div(__isl_keep isl_basic_map *bmap);

isl_bool isl_basic_map_divs_known(__isl_keep isl_basic_map *bmap);

isl_bool isl_map_divs_known(__isl_keep isl_map *map);

__isl_give isl_mat *isl_basic_set_get_divs(__isl_keep isl_basic_set *bset);

__isl_give isl_mat *isl_basic_map_get_divs(__isl_keep isl_basic_map *bmap);

__isl_give isl_map *isl_map_inline_foreach_basic_map(__isl_take isl_map *map,

  __isl_give isl_basic_map *(*fn)(__isl_take isl_basic_map *bmap));

isl_stat isl_map_check_named_params(__isl_keep isl_map *map);

isl_bool isl_map_has_equal_params(__isl_keep isl_map *map1,

  __isl_keep isl_map *map2);

isl_bool isl_basic_set_space_has_equal_params(__isl_keep isl_basic_set *bset,

  __isl_keep isl_space *space);

isl_bool isl_set_space_has_equal_params(__isl_keep isl_set *set,

  __isl_keep isl_space *space);

isl_bool isl_map_space_has_equal_params(__isl_keep isl_map *map,

  __isl_keep isl_space *space);

__isl_give isl_map *isl_map_align_params_map_map_and(

  __isl_take isl_map *map1, __isl_take isl_map *map2,

  __isl_give isl_map *(*fn)(__isl_take isl_map *map1,

            __isl_take isl_map *map2));

isl_bool isl_map_align_params_map_map_and_test(__isl_keep isl_map *map1,

  __isl_keep isl_map *map2,

  isl_bool (*fn)(__isl_keep isl_map *map1, __isl_keep isl_map *map2));

__isl_give isl_set *isl_set_substitute(__isl_take isl_set *set,

  enum isl_dim_type type, unsigned pos, __isl_keep isl_aff *subs);

__isl_give isl_set *isl_set_gist_params_basic_set(__isl_take isl_set *set,

  __isl_take isl_basic_set *context);

isl_bool isl_map_compatible_range(__isl_keep isl_map *map,

  __isl_keep isl_set *set);

isl_bool isl_basic_map_plain_is_non_empty(__isl_keep isl_basic_map *bmap);

isl_bool isl_basic_map_plain_is_single_valued(__isl_keep isl_basic_map *bmap);

isl_bool isl_map_is_set(__isl_keep isl_map *map);

isl_bool isl_map_is_params(__isl_keep isl_map *map);

isl_bool isl_basic_set_plain_dim_is_fixed(__isl_keep isl_basic_set *bset,

  unsigned dim, isl_int *val);

__isl_give isl_set *isl_set_plain_gist_basic_set(__isl_take isl_set *set,

  __isl_take isl_basic_set *context);

__isl_give isl_map *isl_map_plain_gist_basic_map(__isl_take isl_map *map,

  __isl_take isl_basic_map *context);

__isl_give isl_map *isl_map_plain_gist(__isl_take isl_map *map,

  __isl_take isl_map *context);

__isl_give isl_basic_set *isl_basic_set_plain_affine_hull(

  __isl_take isl_basic_set *bset);

__isl_give isl_basic_map *isl_basic_map_plain_affine_hull(

  __isl_take isl_basic_map *bmap);

isl_stat isl_basic_set_dim_residue_class(__isl_keep isl_basic_set *bset,

  int pos, isl_int *modulo, isl_int *residue);

isl_stat isl_set_dim_residue_class(__isl_keep isl_set *set,

  int pos, isl_int *modulo, isl_int *residue);

__isl_give isl_basic_set *isl_basic_set_fix(__isl_take isl_basic_set *bset,

  enum isl_dim_type type, unsigned pos, isl_int value);

__isl_give isl_basic_map *isl_basic_map_fix(__isl_take isl_basic_map *bmap,

  enum isl_dim_type type, unsigned pos, isl_int value);

__isl_give isl_set *isl_set_fix(__isl_take isl_set *set,

  enum isl_dim_type type, unsigned pos, isl_int value);

isl_bool isl_map_plain_is_fixed(__isl_keep isl_map *map,

  enum isl_dim_type type, unsigned pos, isl_int *val);

int isl_basic_map_output_defining_equality(__isl_keep isl_basic_map *bmap,

  int pos, int *div, int *ineq);

__isl_give isl_basic_map *isl_basic_map_reduce_coefficients(

  __isl_take isl_basic_map *bmap);

__isl_give isl_basic_map *isl_basic_map_shift_div(

  __isl_take isl_basic_map *bmap, int div, int pos, isl_int shift);

int isl_basic_set_count_upto(__isl_keep isl_basic_set *bset,

  isl_int max, isl_int *count);

int isl_set_count_upto(__isl_keep isl_set *set, isl_int max, isl_int *count);

__isl_give isl_mat *isl_basic_set_extract_equalities(

  __isl_keep isl_basic_set *bset);

isl_bool isl_basic_map_equal_div_expr_part(__isl_keep isl_basic_map *bmap1,

  int pos1, __isl_keep isl_basic_map *bmap2, int pos2,

  unsigned first, unsigned n);

isl_bool isl_basic_map_equal_div_expr_except_constant(

  __isl_keep isl_basic_map *bmap1, int pos1,

  __isl_keep isl_basic_map *bmap2, int pos2);

__isl_give isl_basic_map *isl_basic_map_set_div_expr_constant_num_si_inplace(

  __isl_take isl_basic_map *bmap, int div, int value);

#endif