isl_map_private.h

   1 /*
   2  * Copyright 2008-2009 Katholieke Universiteit Leuven
   3  *
   4  * Use of this software is governed by the MIT license
   5  *
   6  * Written by Sven Verdoolaege, K.U.Leuven, Departement
   7  * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
   8  */
   9
  10 #ifndef ISL_MAP_PRIVATE_H
  11 #define ISL_MAP_PRIVATE_H
  12
  13 #define isl_basic_set   isl_basic_map
  14 #define isl_set         isl_map
  15 #define isl_basic_set_list      isl_basic_map_list
  16 #define isl_set_list    isl_map_list
  17 #include <isl/list.h>
  18 #include <isl/set.h>
  19 #include <isl/map.h>
  20 #include <isl_reordering.h>
  21 #include <isl/vec.h>
  22 #include <isl/hash.h>
  23 #include <isl_blk.h>
  24
  25 /* A "basic map" is a relation between two sets of variables,
  26  * called the "in" and "out" variables.
  27  * A "basic set" is a basic map with a zero-dimensional
  28  * domain.
  29  *
  30  * It is implemented as a set with two extra fields:
  31  * n_in is the number of in variables
  32  * n_out is the number of out variables
  33  * n_in + n_out should be equal to set.dim
  34  */
  35 struct isl_basic_map {
  36         int ref;
  37 #define ISL_BASIC_MAP_FINAL             (1 << 0)
  38 #define ISL_BASIC_MAP_EMPTY             (1 << 1)
  39 #define ISL_BASIC_MAP_NO_IMPLICIT       (1 << 2)
  40 #define ISL_BASIC_MAP_NO_REDUNDANT      (1 << 3)
  41 #define ISL_BASIC_MAP_RATIONAL          (1 << 4)
  42 #define ISL_BASIC_MAP_NORMALIZED        (1 << 5)
  43 #define ISL_BASIC_MAP_NORMALIZED_DIVS   (1 << 6)
  44 #define ISL_BASIC_MAP_ALL_EQUALITIES    (1 << 7)
  45 #define ISL_BASIC_MAP_REDUCED_COEFFICIENTS      (1 << 8)
  46 #define ISL_BASIC_SET_FINAL             (1 << 0)
  47 #define ISL_BASIC_SET_EMPTY             (1 << 1)
  48 #define ISL_BASIC_SET_NO_IMPLICIT       (1 << 2)
  49 #define ISL_BASIC_SET_NO_REDUNDANT      (1 << 3)
  50 #define ISL_BASIC_SET_RATIONAL          (1 << 4)
  51 #define ISL_BASIC_SET_NORMALIZED        (1 << 5)
  52 #define ISL_BASIC_SET_NORMALIZED_DIVS   (1 << 6)
  53 #define ISL_BASIC_SET_ALL_EQUALITIES    (1 << 7)
  54 #define ISL_BASIC_SET_REDUCED_COEFFICIENTS      (1 << 8)
  55         unsigned flags;
  56
  57         struct isl_ctx *ctx;
  58
  59         isl_space *dim;
  60         unsigned extra;
  61
  62         unsigned n_eq;
  63         unsigned n_ineq;
  64
  65         size_t c_size;
  66         isl_int **eq;
  67         isl_int **ineq;
  68
  69         unsigned n_div;
  70
  71         isl_int **div;
  72
  73         struct isl_vec *sample;
  74
  75         struct isl_blk block;
  76         struct isl_blk block2;
  77 };
  78
  79 #undef EL
  80 #define EL isl_basic_set
  81
  82 #include <isl_list_templ.h>
  83
  84 /* A "map" is a (possibly disjoint) union of basic maps.
  85  * A "set" is a (possibly disjoint) union of basic sets.
  86  *
  87  * Currently, the isl_set structure is identical to the isl_map structure
  88  * and the library depends on this correspondence internally.
  89  * However, users should not depend on this correspondence.
  90  */
  91 struct isl_map {
  92         int ref;
  93 #define ISL_MAP_DISJOINT                (1 << 0)
  94 #define ISL_MAP_NORMALIZED              (1 << 1)
  95 #define ISL_SET_DISJOINT                (1 << 0)
  96 #define ISL_SET_NORMALIZED              (1 << 1)
  97         unsigned flags;
  98
  99         struct isl_ctx *ctx;
 100
 101         isl_space *dim;
 102
 103         int n;
 104
 105         size_t size;
 106         struct isl_basic_map *p[1];
 107 };
 108
 109 #undef EL
 110 #define EL isl_set
 111
 112 #include <isl_list_templ.h>
 113
 114 __isl_give isl_basic_set *isl_basic_set_alloc(isl_ctx *ctx,
 115         unsigned nparam, unsigned dim, unsigned extra,
 116         unsigned n_eq, unsigned n_ineq);
 117 __isl_give isl_basic_set *isl_basic_set_extend(__isl_take isl_basic_set *base,
 118         unsigned nparam, unsigned dim, unsigned extra,
 119         unsigned n_eq, unsigned n_ineq);
 120 __isl_give isl_basic_set *isl_basic_set_extend_constraints(
 121         __isl_take isl_basic_set *base, unsigned n_eq, unsigned n_ineq);
 122 __isl_give isl_basic_set *isl_basic_set_finalize(
 123         __isl_take isl_basic_set *bset);
 124 __isl_give isl_basic_set *isl_basic_set_dup(__isl_keep isl_basic_set *bset);
 125 __isl_give isl_basic_set *isl_basic_set_simplify(
 126         __isl_take isl_basic_set *bset);
 127
 128 __isl_give isl_basic_map *isl_basic_map_alloc(isl_ctx *ctx,
 129         unsigned nparam, unsigned in, unsigned out, unsigned extra,
 130         unsigned n_eq, unsigned n_ineq);
 131 __isl_give isl_basic_map *isl_basic_map_mark_final(
 132         __isl_take isl_basic_map *bmap);
 133 __isl_give isl_basic_map *isl_basic_map_finalize(
 134         __isl_take isl_basic_map *bmap);
 135 __isl_give isl_basic_map *isl_basic_map_extend(__isl_take isl_basic_map *base,
 136         unsigned nparam, unsigned n_in, unsigned n_out, unsigned extra,
 137         unsigned n_eq, unsigned n_ineq);
 138 __isl_give isl_basic_map *isl_basic_map_extend_constraints(
 139         __isl_take isl_basic_map *base, unsigned n_eq, unsigned n_ineq);
 140 __isl_give isl_basic_map *isl_basic_map_simplify(
 141         __isl_take isl_basic_map *bmap);
 142
 143 __isl_give isl_set *isl_set_alloc(isl_ctx *ctx,
 144         unsigned nparam, unsigned dim, int n, unsigned flags);
 145 __isl_give isl_set *isl_set_add_basic_set(__isl_take isl_set *set,
 146         __isl_take isl_basic_set *bset);
 147 __isl_give isl_set *isl_set_finalize(__isl_take isl_set *set);
 148 __isl_give isl_set *isl_set_dup(__isl_keep isl_set *set);
 149
 150 __isl_give isl_map *isl_map_alloc(isl_ctx *ctx,
 151         unsigned nparam, unsigned in, unsigned out, int n, unsigned flags);
 152 __isl_give isl_map *isl_map_add_basic_map(__isl_take isl_map *map,
 153         __isl_take isl_basic_map *bmap);
 154 __isl_give isl_map *isl_map_dup(__isl_keep isl_map *map);
 155 __isl_give isl_map *isl_map_finalize(__isl_take isl_map *map);
 156
 157 __isl_give isl_basic_set *isl_basic_set_from_underlying_set(
 158         __isl_take isl_basic_set *bset, __isl_take isl_basic_set *like);
 159 __isl_give isl_set *isl_set_from_underlying_set(
 160         __isl_take isl_set *set, __isl_take isl_basic_set *like);
 161 __isl_give isl_set *isl_set_to_underlying_set(__isl_take isl_set *set);
 162
 163 __isl_give isl_map *isl_map_realign(__isl_take isl_map *map,
 164         __isl_take isl_reordering *r);
 165 __isl_give isl_set *isl_set_realign(__isl_take isl_set *set,
 166         __isl_take isl_reordering *r);
 167
 168 __isl_give isl_map *isl_map_reset(__isl_take isl_map *map,
 169         enum isl_dim_type type);
 170
 171 __isl_give isl_basic_set *isl_basic_set_reset_space(
 172         __isl_take isl_basic_set *bset, __isl_take isl_space *dim);
 173 __isl_give isl_basic_map *isl_basic_map_reset_space(
 174         __isl_take isl_basic_map *bmap, __isl_take isl_space *dim);
 175 __isl_give isl_map *isl_map_reset_space(__isl_take isl_map *map,
 176         __isl_take isl_space *dim);
 177
 178 unsigned isl_basic_map_offset(struct isl_basic_map *bmap,
 179                                         enum isl_dim_type type);
 180 unsigned isl_basic_set_offset(struct isl_basic_set *bset,
 181                                         enum isl_dim_type type);
 182
 183 int isl_basic_map_may_be_set(__isl_keep isl_basic_map *bmap);
 184 int isl_map_may_be_set(__isl_keep isl_map *map);
 185 int isl_map_compatible_domain(struct isl_map *map, struct isl_set *set);
 186 int isl_basic_map_compatible_domain(struct isl_basic_map *bmap,
 187                 struct isl_basic_set *bset);
 188 int isl_basic_map_compatible_range(struct isl_basic_map *bmap,
 189                 struct isl_basic_set *bset);
 190
 191 struct isl_basic_map *isl_basic_map_extend_space(struct isl_basic_map *base,
 192                 __isl_take isl_space *dim, unsigned extra,
 193                 unsigned n_eq, unsigned n_ineq);
 194 struct isl_basic_set *isl_basic_set_extend_space(struct isl_basic_set *base,
 195                 __isl_take isl_space *dim, unsigned extra,
 196                 unsigned n_eq, unsigned n_ineq);
 197 struct isl_basic_set *isl_basic_set_add_constraints(struct isl_basic_set *bset1,
 198                 struct isl_basic_set *bset2, unsigned pos);
 199
 200 struct isl_map *isl_map_grow(struct isl_map *map, int n);
 201 struct isl_set *isl_set_grow(struct isl_set *set, int n);
 202
 203 isl_bool isl_basic_set_contains(__isl_keep isl_basic_set *bset,
 204         __isl_keep isl_vec *vec);
 205 isl_bool isl_basic_map_contains(__isl_keep isl_basic_map *bmap,
 206         __isl_keep isl_vec *vec);
 207
 208 __isl_give isl_basic_set *isl_basic_set_alloc_space(__isl_take isl_space *dim,
 209                 unsigned extra, unsigned n_eq, unsigned n_ineq);
 210 __isl_give isl_set *isl_set_alloc_space(__isl_take isl_space *dim, int n,
 211         unsigned flags);
 212 __isl_give isl_basic_map *isl_basic_map_alloc_space(__isl_take isl_space *dim,
 213                 unsigned extra, unsigned n_eq, unsigned n_ineq);
 214 __isl_give isl_map *isl_map_alloc_space(__isl_take isl_space *dim, int n,
 215         unsigned flags);
 216
 217 unsigned isl_basic_map_total_dim(const struct isl_basic_map *bmap);
 218
 219 int isl_basic_map_alloc_equality(struct isl_basic_map *bmap);
 220 int isl_basic_set_alloc_equality(struct isl_basic_set *bset);
 221 int isl_basic_set_free_inequality(struct isl_basic_set *bset, unsigned n);
 222 int isl_basic_map_free_equality(struct isl_basic_map *bmap, unsigned n);
 223 int isl_basic_set_free_equality(struct isl_basic_set *bset, unsigned n);
 224 int isl_basic_set_alloc_inequality(struct isl_basic_set *bset);
 225 int isl_basic_map_alloc_inequality(struct isl_basic_map *bmap);
 226 int isl_basic_map_free_inequality(struct isl_basic_map *bmap, unsigned n);
 227 int isl_basic_map_alloc_div(struct isl_basic_map *bmap);
 228 int isl_basic_set_alloc_div(struct isl_basic_set *bset);
 229 int isl_basic_map_free_div(struct isl_basic_map *bmap, unsigned n);
 230 int isl_basic_set_free_div(struct isl_basic_set *bset, unsigned n);
 231 void isl_basic_map_inequality_to_equality(
 232                 struct isl_basic_map *bmap, unsigned pos);
 233 int isl_basic_map_drop_equality(struct isl_basic_map *bmap, unsigned pos);
 234 int isl_basic_set_drop_equality(struct isl_basic_set *bset, unsigned pos);
 235 int isl_basic_set_drop_inequality(struct isl_basic_set *bset, unsigned pos);
 236 int isl_basic_map_drop_inequality(struct isl_basic_map *bmap, unsigned pos);
 237 __isl_give isl_basic_set *isl_basic_set_add_eq(__isl_take isl_basic_set *bset,
 238         isl_int *eq);
 239 __isl_give isl_basic_map *isl_basic_map_add_eq(__isl_take isl_basic_map *bmap,
 240         isl_int *eq);
 241 __isl_give isl_basic_set *isl_basic_set_add_ineq(__isl_take isl_basic_set *bset,
 242         isl_int *ineq);
 243 __isl_give isl_basic_map *isl_basic_map_add_ineq(__isl_take isl_basic_map *bmap,
 244         isl_int *ineq);
 245
 246 int isl_inequality_negate(struct isl_basic_map *bmap, unsigned pos);
 247
 248 struct isl_basic_set *isl_basic_set_cow(struct isl_basic_set *bset);
 249 struct isl_basic_map *isl_basic_map_cow(struct isl_basic_map *bmap);
 250 struct isl_set *isl_set_cow(struct isl_set *set);
 251 struct isl_map *isl_map_cow(struct isl_map *map);
 252
 253 uint32_t isl_basic_map_get_hash(__isl_keep isl_basic_map *bmap);
 254
 255 struct isl_basic_map *isl_basic_map_set_to_empty(struct isl_basic_map *bmap);
 256 struct isl_basic_set *isl_basic_set_set_to_empty(struct isl_basic_set *bset);
 257 struct isl_basic_set *isl_basic_set_order_divs(struct isl_basic_set *bset);
 258 void isl_basic_map_swap_div(struct isl_basic_map *bmap, int a, int b);
 259 struct isl_basic_map *isl_basic_map_order_divs(struct isl_basic_map *bmap);
 260 __isl_give isl_map *isl_map_order_divs(__isl_take isl_map *map);
 261 struct isl_basic_map *isl_basic_map_align_divs(
 262                 struct isl_basic_map *dst, struct isl_basic_map *src);
 263 struct isl_basic_set *isl_basic_set_align_divs(
 264                 struct isl_basic_set *dst, struct isl_basic_set *src);
 265 __isl_give isl_map *isl_map_align_divs_to_basic_map_list(
 266         __isl_take isl_map *map, __isl_keep isl_basic_map_list *list);
 267 __isl_give isl_basic_map_list *isl_basic_map_list_align_divs_to_basic_map(
 268         __isl_take isl_basic_map_list *list, __isl_keep isl_basic_map *bmap);
 269 __isl_give isl_basic_map *isl_basic_map_sort_divs(
 270         __isl_take isl_basic_map *bmap);
 271 __isl_give isl_map *isl_map_sort_divs(__isl_take isl_map *map);
 272 struct isl_basic_map *isl_basic_map_gauss(
 273         struct isl_basic_map *bmap, int *progress);
 274 struct isl_basic_set *isl_basic_set_gauss(
 275         struct isl_basic_set *bset, int *progress);
 276 int isl_basic_map_constraint_cmp(__isl_keep isl_basic_map *bmap,
 277         isl_int *c1, isl_int *c2);
 278 __isl_give isl_basic_map *isl_basic_map_sort_constraints(
 279         __isl_take isl_basic_map *bmap);
 280 __isl_give isl_basic_set *isl_basic_set_sort_constraints(
 281         __isl_take isl_basic_set *bset);
 282 int isl_basic_map_plain_cmp(const __isl_keep isl_basic_map *bmap1,
 283         const __isl_keep isl_basic_map *bmap2);
 284 isl_bool isl_basic_map_plain_is_equal(__isl_keep isl_basic_map *bmap1,
 285         __isl_keep isl_basic_map *bmap2);
 286 struct isl_basic_map *isl_basic_map_normalize_constraints(
 287         struct isl_basic_map *bmap);
 288 struct isl_basic_set *isl_basic_set_normalize_constraints(
 289         struct isl_basic_set *bset);
 290 struct isl_basic_map *isl_basic_map_implicit_equalities(
 291                                                 struct isl_basic_map *bmap);
 292 struct isl_basic_set *isl_basic_map_underlying_set(struct isl_basic_map *bmap);
 293 __isl_give isl_basic_set *isl_basic_set_underlying_set(
 294                 __isl_take isl_basic_set *bset);
 295 __isl_give isl_basic_set_list *isl_basic_map_list_underlying_set(
 296         __isl_take isl_basic_map_list *list);
 297 struct isl_set *isl_map_underlying_set(struct isl_map *map);
 298 struct isl_basic_map *isl_basic_map_overlying_set(struct isl_basic_set *bset,
 299         struct isl_basic_map *like);
 300 __isl_give isl_basic_map *isl_basic_map_drop_constraint_involving_unknown_divs(
 301         __isl_take isl_basic_map *bmap);
 302 __isl_give isl_map *isl_map_drop_constraint_involving_unknown_divs(
 303         __isl_take isl_map *map);
 304 __isl_give isl_basic_set *isl_basic_set_drop_constraints_involving(
 305         __isl_take isl_basic_set *bset, unsigned first, unsigned n);
 306 __isl_give isl_basic_set *isl_basic_set_drop(__isl_take isl_basic_set *bset,
 307         enum isl_dim_type type, unsigned first, unsigned n);
 308 struct isl_basic_map *isl_basic_map_drop(struct isl_basic_map *bmap,
 309         enum isl_dim_type type, unsigned first, unsigned n);
 310 struct isl_set *isl_set_drop(struct isl_set *set,
 311         enum isl_dim_type type, unsigned first, unsigned n);
 312 struct isl_basic_set *isl_basic_set_drop_dims(
 313                 struct isl_basic_set *bset, unsigned first, unsigned n);
 314 struct isl_set *isl_set_drop_dims(
 315                 struct isl_set *set, unsigned first, unsigned n);
 316 struct isl_map *isl_map_drop_inputs(
 317                 struct isl_map *map, unsigned first, unsigned n);
 318 struct isl_map *isl_map_drop(struct isl_map *map,
 319         enum isl_dim_type type, unsigned first, unsigned n);
 320
 321 __isl_give isl_basic_map *isl_basic_map_remove_duplicate_constraints(
 322         __isl_take isl_basic_map *bmap, int *progress, int detect_divs);
 323 __isl_give isl_basic_map *isl_basic_map_detect_inequality_pairs(
 324         __isl_take isl_basic_map *bmap, int *progress);
 325
 326 struct isl_map *isl_map_remove_empty_parts(struct isl_map *map);
 327 struct isl_set *isl_set_remove_empty_parts(struct isl_set *set);
 328 __isl_give isl_map *isl_map_remove_obvious_duplicates(__isl_take isl_map *map);
 329
 330 struct isl_set *isl_set_normalize(struct isl_set *set);
 331
 332 struct isl_set *isl_set_drop_vars(
 333                 struct isl_set *set, unsigned first, unsigned n);
 334
 335 struct isl_basic_map *isl_basic_map_eliminate_vars(
 336         struct isl_basic_map *bmap, unsigned pos, unsigned n);
 337 struct isl_basic_set *isl_basic_set_eliminate_vars(
 338         struct isl_basic_set *bset, unsigned pos, unsigned n);
 339
 340 __isl_give isl_map *isl_map_eliminate(__isl_take isl_map *map,
 341         enum isl_dim_type type, unsigned first, unsigned n);
 342 __isl_give isl_set *isl_set_eliminate(__isl_take isl_set *set,
 343         enum isl_dim_type type, unsigned first, unsigned n);
 344
 345 int isl_basic_set_constraint_is_redundant(struct isl_basic_set **bset,
 346         isl_int *c, isl_int *opt_n, isl_int *opt_d);
 347
 348 int isl_basic_map_add_div_constraint(__isl_keep isl_basic_map *bmap,
 349         unsigned div, int sign);
 350 int isl_basic_map_add_div_constraints(struct isl_basic_map *bmap, unsigned div);
 351 __isl_give isl_basic_map *isl_basic_map_add_known_div_constraints(
 352         __isl_take isl_basic_map *bmap);
 353 struct isl_basic_map *isl_basic_map_drop_redundant_divs(
 354         struct isl_basic_map *bmap);
 355 struct isl_basic_set *isl_basic_set_drop_redundant_divs(
 356         struct isl_basic_set *bset);
 357
 358 struct isl_basic_set *isl_basic_set_recession_cone(struct isl_basic_set *bset);
 359 struct isl_basic_set *isl_basic_set_lineality_space(struct isl_basic_set *bset);
 360
 361 struct isl_basic_set *isl_basic_set_set_rational(struct isl_basic_set *bset);
 362 __isl_give isl_set *isl_set_set_rational(__isl_take isl_set *set);
 363 __isl_give isl_basic_map *isl_basic_map_set_rational(
 364         __isl_take isl_basic_map *bmap);
 365 __isl_give isl_map *isl_map_set_rational(__isl_take isl_map *map);
 366
 367 int isl_map_has_rational(__isl_keep isl_map *map);
 368 int isl_set_has_rational(__isl_keep isl_set *set);
 369
 370 struct isl_mat;
 371
 372 struct isl_basic_set *isl_basic_set_preimage(struct isl_basic_set *bset,
 373         struct isl_mat *mat);
 374 struct isl_set *isl_set_preimage(struct isl_set *set, struct isl_mat *mat);
 375
 376 __isl_give isl_basic_map *isl_basic_map_transform_dims(
 377         __isl_take isl_basic_map *bmap, enum isl_dim_type type, unsigned first,
 378         __isl_take isl_mat *trans);
 379 __isl_give isl_basic_set *isl_basic_set_transform_dims(
 380         __isl_take isl_basic_set *bset, enum isl_dim_type type, unsigned first,
 381         __isl_take isl_mat *trans);
 382
 383 isl_int *isl_set_wrap_facet(__isl_keep isl_set *set,
 384         isl_int *facet, isl_int *ridge);
 385
 386 isl_bool isl_basic_map_contains_point(__isl_keep isl_basic_map *bmap,
 387         __isl_keep isl_point *point);
 388 isl_bool isl_set_contains_point(__isl_keep isl_set *set,
 389         __isl_keep isl_point *point);
 390
 391 int isl_basic_set_vars_get_sign(__isl_keep isl_basic_set *bset,
 392         unsigned first, unsigned n, int *signs);
 393 int isl_set_foreach_orthant(__isl_keep isl_set *set,
 394         int (*fn)(__isl_take isl_set *orthant, int *signs, void *user),
 395         void *user);
 396
 397 int isl_basic_map_add_div_constraints_var(__isl_keep isl_basic_map *bmap,
 398         unsigned pos, isl_int *div);
 399 int isl_basic_set_add_div_constraints_var(__isl_keep isl_basic_set *bset,
 400         unsigned pos, isl_int *div);
 401 int isl_basic_map_is_div_constraint(__isl_keep isl_basic_map *bmap,
 402         isl_int *constraint, unsigned div);
 403 int isl_basic_set_is_div_constraint(__isl_keep isl_basic_set *bset,
 404         isl_int *constraint, unsigned div);
 405
 406 __isl_give isl_basic_set *isl_basic_set_from_local_space(
 407         __isl_take isl_local_space *ls);
 408 __isl_give isl_basic_map *isl_basic_map_from_local_space(
 409         __isl_take isl_local_space *ls);
 410 __isl_give isl_basic_set *isl_basic_set_expand_divs(
 411         __isl_take isl_basic_set *bset, __isl_take isl_mat *div, int *exp);
 412
 413 isl_bool isl_basic_map_div_is_known(__isl_keep isl_basic_map *bmap, int div);
 414 isl_bool isl_basic_map_divs_known(__isl_keep isl_basic_map *bmap);
 415 isl_bool isl_map_divs_known(__isl_keep isl_map *map);
 416 __isl_give isl_mat *isl_basic_set_get_divs(__isl_keep isl_basic_set *bset);
 417 __isl_give isl_mat *isl_basic_map_get_divs(__isl_keep isl_basic_map *bmap);
 418
 419 __isl_give isl_map *isl_map_inline_foreach_basic_map(__isl_take isl_map *map,
 420         __isl_give isl_basic_map *(*fn)(__isl_take isl_basic_map *bmap));
 421
 422 __isl_give isl_map *isl_map_align_params_map_map_and(
 423         __isl_take isl_map *map1, __isl_take isl_map *map2,
 424         __isl_give isl_map *(*fn)(__isl_take isl_map *map1,
 425                                     __isl_take isl_map *map2));
 426 isl_bool isl_map_align_params_map_map_and_test(__isl_keep isl_map *map1,
 427         __isl_keep isl_map *map2,
 428         isl_bool (*fn)(__isl_keep isl_map *map1, __isl_keep isl_map *map2));
 429
 430 int isl_basic_map_foreach_lexopt(__isl_keep isl_basic_map *bmap, int max,
 431         int (*fn)(__isl_take isl_basic_set *dom, __isl_take isl_aff_list *list,
 432                   void *user),
 433         void *user);
 434 int isl_basic_set_foreach_lexopt(__isl_keep isl_basic_set *bset, int max,
 435         int (*fn)(__isl_take isl_basic_set *dom, __isl_take isl_aff_list *list,
 436                   void *user),
 437         void *user);
 438
 439 __isl_give isl_set *isl_set_substitute(__isl_take isl_set *set,
 440         enum isl_dim_type type, unsigned pos, __isl_keep isl_aff *subs);
 441
 442 __isl_give isl_set *isl_set_gist_params_basic_set(__isl_take isl_set *set,
 443         __isl_take isl_basic_set *context);
 444
 445 int isl_map_compatible_range(__isl_keep isl_map *map, __isl_keep isl_set *set);
 446
 447 isl_bool isl_basic_map_plain_is_single_valued(__isl_keep isl_basic_map *bmap);
 448
 449 int isl_map_is_set(__isl_keep isl_map *map);
 450
 451 int isl_basic_set_plain_dim_is_fixed(__isl_keep isl_basic_set *bset,
 452         unsigned dim, isl_int *val);
 453
 454 __isl_give isl_map *isl_map_plain_gist_basic_map(__isl_take isl_map *map,
 455         __isl_take isl_basic_map *context);
 456
 457 __isl_give isl_basic_map *isl_map_plain_unshifted_simple_hull(
 458         __isl_take isl_map *map);
 459 __isl_give isl_basic_set *isl_basic_set_plain_affine_hull(
 460         __isl_take isl_basic_set *bset);
 461 __isl_give isl_basic_map *isl_basic_map_plain_affine_hull(
 462         __isl_take isl_basic_map *bmap);
 463
 464 int isl_basic_set_dim_residue_class(struct isl_basic_set *bset,
 465         int pos, isl_int *modulo, isl_int *residue);
 466 int isl_set_dim_residue_class(struct isl_set *set,
 467         int pos, isl_int *modulo, isl_int *residue);
 468
 469 __isl_give isl_basic_set *isl_basic_set_fix(__isl_take isl_basic_set *bset,
 470         enum isl_dim_type type, unsigned pos, isl_int value);
 471 __isl_give isl_basic_map *isl_basic_map_fix(__isl_take isl_basic_map *bmap,
 472         enum isl_dim_type type, unsigned pos, isl_int value);
 473 __isl_give isl_set *isl_set_fix(__isl_take isl_set *set,
 474         enum isl_dim_type type, unsigned pos, isl_int value);
 475 int isl_map_plain_is_fixed(__isl_keep isl_map *map,
 476         enum isl_dim_type type, unsigned pos, isl_int *val);
 477
 478 int isl_basic_map_output_defining_equality(__isl_keep isl_basic_map *bmap,
 479         int pos, int *div, int *ineq);
 480
 481 __isl_give isl_basic_map *isl_basic_map_reduce_coefficients(
 482         __isl_take isl_basic_map *bmap);
 483
 484 __isl_give isl_basic_map *isl_basic_map_shift_div(
 485         __isl_take isl_basic_map *bmap, int div, int pos, isl_int shift);
 486
 487 __isl_give isl_basic_map_list *isl_map_get_basic_map_list(
 488         __isl_keep isl_map *map);
 489
 490 __isl_give isl_map *isl_map_fixed_power(__isl_take isl_map *map, isl_int exp);
 491
 492 int isl_basic_set_count_upto(__isl_keep isl_basic_set *bset,
 493         isl_int max, isl_int *count);
 494 int isl_set_count_upto(__isl_keep isl_set *set, isl_int max, isl_int *count);
 495
 496 #endif