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_finalize(
 132         __isl_take isl_basic_map *bmap);
 133 __isl_give isl_basic_map *isl_basic_map_extend(__isl_take isl_basic_map *base,
 134         unsigned nparam, unsigned n_in, unsigned n_out, unsigned extra,
 135         unsigned n_eq, unsigned n_ineq);
 136 __isl_give isl_basic_map *isl_basic_map_extend_constraints(
 137         __isl_take isl_basic_map *base, unsigned n_eq, unsigned n_ineq);
 138 __isl_give isl_basic_map *isl_basic_map_simplify(
 139         __isl_take isl_basic_map *bmap);
 140
 141 __isl_give isl_basic_set *isl_basic_set_from_underlying_set(
 142         __isl_take isl_basic_set *bset, __isl_take isl_basic_set *like);
 143
 144 __isl_give isl_map *isl_map_realign(__isl_take isl_map *map,
 145         __isl_take isl_reordering *r);
 146 __isl_give isl_set *isl_set_realign(__isl_take isl_set *set,
 147         __isl_take isl_reordering *r);
 148
 149 __isl_give isl_map *isl_map_reset(__isl_take isl_map *map,
 150         enum isl_dim_type type);
 151
 152 __isl_give isl_basic_set *isl_basic_set_reset_space(
 153         __isl_take isl_basic_set *bset, __isl_take isl_space *dim);
 154 __isl_give isl_basic_map *isl_basic_map_reset_space(
 155         __isl_take isl_basic_map *bmap, __isl_take isl_space *dim);
 156 __isl_give isl_map *isl_map_reset_space(__isl_take isl_map *map,
 157         __isl_take isl_space *dim);
 158
 159 unsigned isl_basic_map_offset(struct isl_basic_map *bmap,
 160                                         enum isl_dim_type type);
 161 unsigned isl_basic_set_offset(struct isl_basic_set *bset,
 162                                         enum isl_dim_type type);
 163
 164 int isl_basic_map_may_be_set(__isl_keep isl_basic_map *bmap);
 165 int isl_map_may_be_set(__isl_keep isl_map *map);
 166 int isl_map_compatible_domain(struct isl_map *map, struct isl_set *set);
 167 int isl_basic_map_compatible_domain(struct isl_basic_map *bmap,
 168                 struct isl_basic_set *bset);
 169 int isl_basic_map_compatible_range(struct isl_basic_map *bmap,
 170                 struct isl_basic_set *bset);
 171
 172 struct isl_basic_map *isl_basic_map_extend_space(struct isl_basic_map *base,
 173                 __isl_take isl_space *dim, unsigned extra,
 174                 unsigned n_eq, unsigned n_ineq);
 175 struct isl_basic_set *isl_basic_set_extend_space(struct isl_basic_set *base,
 176                 __isl_take isl_space *dim, unsigned extra,
 177                 unsigned n_eq, unsigned n_ineq);
 178 struct isl_basic_set *isl_basic_set_add_constraints(struct isl_basic_set *bset1,
 179                 struct isl_basic_set *bset2, unsigned pos);
 180
 181 struct isl_map *isl_map_grow(struct isl_map *map, int n);
 182 struct isl_set *isl_set_grow(struct isl_set *set, int n);
 183
 184 int isl_basic_set_contains(struct isl_basic_set *bset, struct isl_vec *vec);
 185 int isl_basic_map_contains(struct isl_basic_map *bmap, struct isl_vec *vec);
 186
 187 __isl_give isl_basic_set *isl_basic_set_alloc_space(__isl_take isl_space *dim,
 188                 unsigned extra, unsigned n_eq, unsigned n_ineq);
 189 __isl_give isl_set *isl_set_alloc_space(__isl_take isl_space *dim, int n,
 190         unsigned flags);
 191 __isl_give isl_basic_map *isl_basic_map_alloc_space(__isl_take isl_space *dim,
 192                 unsigned extra, unsigned n_eq, unsigned n_ineq);
 193 __isl_give isl_map *isl_map_alloc_space(__isl_take isl_space *dim, int n,
 194         unsigned flags);
 195
 196 unsigned isl_basic_map_total_dim(const struct isl_basic_map *bmap);
 197
 198 int isl_basic_map_alloc_equality(struct isl_basic_map *bmap);
 199 int isl_basic_set_alloc_equality(struct isl_basic_set *bset);
 200 int isl_basic_set_free_inequality(struct isl_basic_set *bset, unsigned n);
 201 int isl_basic_map_free_equality(struct isl_basic_map *bmap, unsigned n);
 202 int isl_basic_set_free_equality(struct isl_basic_set *bset, unsigned n);
 203 int isl_basic_set_alloc_inequality(struct isl_basic_set *bset);
 204 int isl_basic_map_alloc_inequality(struct isl_basic_map *bmap);
 205 int isl_basic_map_free_inequality(struct isl_basic_map *bmap, unsigned n);
 206 int isl_basic_map_alloc_div(struct isl_basic_map *bmap);
 207 int isl_basic_set_alloc_div(struct isl_basic_set *bset);
 208 int isl_basic_map_free_div(struct isl_basic_map *bmap, unsigned n);
 209 int isl_basic_set_free_div(struct isl_basic_set *bset, unsigned n);
 210 void isl_basic_map_inequality_to_equality(
 211                 struct isl_basic_map *bmap, unsigned pos);
 212 int isl_basic_map_drop_equality(struct isl_basic_map *bmap, unsigned pos);
 213 int isl_basic_set_drop_equality(struct isl_basic_set *bset, unsigned pos);
 214 int isl_basic_set_drop_inequality(struct isl_basic_set *bset, unsigned pos);
 215 int isl_basic_map_drop_inequality(struct isl_basic_map *bmap, unsigned pos);
 216 __isl_give isl_basic_set *isl_basic_set_add_eq(__isl_take isl_basic_set *bset,
 217         isl_int *eq);
 218 __isl_give isl_basic_map *isl_basic_map_add_eq(__isl_take isl_basic_map *bmap,
 219         isl_int *eq);
 220 __isl_give isl_basic_set *isl_basic_set_add_ineq(__isl_take isl_basic_set *bset,
 221         isl_int *ineq);
 222 __isl_give isl_basic_map *isl_basic_map_add_ineq(__isl_take isl_basic_map *bmap,
 223         isl_int *ineq);
 224
 225 int isl_inequality_negate(struct isl_basic_map *bmap, unsigned pos);
 226
 227 struct isl_basic_set *isl_basic_set_cow(struct isl_basic_set *bset);
 228 struct isl_basic_map *isl_basic_map_cow(struct isl_basic_map *bmap);
 229 struct isl_set *isl_set_cow(struct isl_set *set);
 230 struct isl_map *isl_map_cow(struct isl_map *map);
 231
 232 uint32_t isl_basic_map_get_hash(__isl_keep isl_basic_map *bmap);
 233
 234 struct isl_basic_map *isl_basic_map_set_to_empty(struct isl_basic_map *bmap);
 235 struct isl_basic_set *isl_basic_set_set_to_empty(struct isl_basic_set *bset);
 236 struct isl_basic_set *isl_basic_set_order_divs(struct isl_basic_set *bset);
 237 void isl_basic_map_swap_div(struct isl_basic_map *bmap, int a, int b);
 238 struct isl_basic_map *isl_basic_map_order_divs(struct isl_basic_map *bmap);
 239 __isl_give isl_map *isl_map_order_divs(__isl_take isl_map *map);
 240 struct isl_basic_map *isl_basic_map_align_divs(
 241                 struct isl_basic_map *dst, struct isl_basic_map *src);
 242 struct isl_basic_set *isl_basic_set_align_divs(
 243                 struct isl_basic_set *dst, struct isl_basic_set *src);
 244 __isl_give isl_map *isl_map_align_divs_to_basic_map_list(
 245         __isl_take isl_map *map, __isl_keep isl_basic_map_list *list);
 246 __isl_give isl_basic_map_list *isl_basic_map_list_align_divs_to_basic_map(
 247         __isl_take isl_basic_map_list *list, __isl_keep isl_basic_map *bmap);
 248 __isl_give isl_basic_map *isl_basic_map_sort_divs(
 249         __isl_take isl_basic_map *bmap);
 250 __isl_give isl_map *isl_map_sort_divs(__isl_take isl_map *map);
 251 struct isl_basic_map *isl_basic_map_gauss(
 252         struct isl_basic_map *bmap, int *progress);
 253 struct isl_basic_set *isl_basic_set_gauss(
 254         struct isl_basic_set *bset, int *progress);
 255 __isl_give isl_basic_set *isl_basic_set_sort_constraints(
 256         __isl_take isl_basic_set *bset);
 257 int isl_basic_map_plain_cmp(const __isl_keep isl_basic_map *bmap1,
 258         const __isl_keep isl_basic_map *bmap2);
 259 int isl_basic_map_plain_is_equal(__isl_keep isl_basic_map *bmap1,
 260         __isl_keep isl_basic_map *bmap2);
 261 struct isl_basic_map *isl_basic_map_normalize_constraints(
 262         struct isl_basic_map *bmap);
 263 struct isl_basic_set *isl_basic_set_normalize_constraints(
 264         struct isl_basic_set *bset);
 265 struct isl_basic_map *isl_basic_map_implicit_equalities(
 266                                                 struct isl_basic_map *bmap);
 267 struct isl_basic_set *isl_basic_map_underlying_set(struct isl_basic_map *bmap);
 268 __isl_give isl_basic_set *isl_basic_set_underlying_set(
 269                 __isl_take isl_basic_set *bset);
 270 __isl_give isl_basic_set_list *isl_basic_map_list_underlying_set(
 271         __isl_take isl_basic_map_list *list);
 272 struct isl_set *isl_map_underlying_set(struct isl_map *map);
 273 struct isl_basic_map *isl_basic_map_overlying_set(struct isl_basic_set *bset,
 274         struct isl_basic_map *like);
 275 __isl_give isl_basic_set *isl_basic_set_drop_constraints_involving(
 276         __isl_take isl_basic_set *bset, unsigned first, unsigned n);
 277 __isl_give isl_basic_set *isl_basic_set_drop(__isl_take isl_basic_set *bset,
 278         enum isl_dim_type type, unsigned first, unsigned n);
 279 struct isl_basic_map *isl_basic_map_drop(struct isl_basic_map *bmap,
 280         enum isl_dim_type type, unsigned first, unsigned n);
 281 struct isl_set *isl_set_drop(struct isl_set *set,
 282         enum isl_dim_type type, unsigned first, unsigned n);
 283 struct isl_basic_set *isl_basic_set_drop_dims(
 284                 struct isl_basic_set *bset, unsigned first, unsigned n);
 285 struct isl_set *isl_set_drop_dims(
 286                 struct isl_set *set, unsigned first, unsigned n);
 287 struct isl_map *isl_map_drop_inputs(
 288                 struct isl_map *map, unsigned first, unsigned n);
 289 struct isl_map *isl_map_drop(struct isl_map *map,
 290         enum isl_dim_type type, unsigned first, unsigned n);
 291
 292 __isl_give isl_basic_map *isl_basic_map_remove_duplicate_constraints(
 293         __isl_take isl_basic_map *bmap, int *progress, int detect_divs);
 294 __isl_give isl_basic_map *isl_basic_map_detect_inequality_pairs(
 295         __isl_take isl_basic_map *bmap, int *progress);
 296
 297 struct isl_map *isl_map_remove_empty_parts(struct isl_map *map);
 298 struct isl_set *isl_set_remove_empty_parts(struct isl_set *set);
 299 __isl_give isl_map *isl_map_remove_obvious_duplicates(__isl_take isl_map *map);
 300
 301 struct isl_set *isl_set_normalize(struct isl_set *set);
 302
 303 struct isl_set *isl_set_drop_vars(
 304                 struct isl_set *set, unsigned first, unsigned n);
 305
 306 struct isl_basic_map *isl_basic_map_eliminate_vars(
 307         struct isl_basic_map *bmap, unsigned pos, unsigned n);
 308 struct isl_basic_set *isl_basic_set_eliminate_vars(
 309         struct isl_basic_set *bset, unsigned pos, unsigned n);
 310
 311 __isl_give isl_map *isl_map_eliminate(__isl_take isl_map *map,
 312         enum isl_dim_type type, unsigned first, unsigned n);
 313 __isl_give isl_set *isl_set_eliminate(__isl_take isl_set *set,
 314         enum isl_dim_type type, unsigned first, unsigned n);
 315
 316 int isl_basic_set_constraint_is_redundant(struct isl_basic_set **bset,
 317         isl_int *c, isl_int *opt_n, isl_int *opt_d);
 318
 319 int isl_basic_map_add_div_constraint(__isl_keep isl_basic_map *bmap,
 320         unsigned div, int sign);
 321 int isl_basic_map_add_div_constraints(struct isl_basic_map *bmap, unsigned div);
 322 __isl_give isl_basic_map *isl_basic_map_add_known_div_constraints(
 323         __isl_take isl_basic_map *bmap);
 324 struct isl_basic_map *isl_basic_map_drop_redundant_divs(
 325         struct isl_basic_map *bmap);
 326 struct isl_basic_set *isl_basic_set_drop_redundant_divs(
 327         struct isl_basic_set *bset);
 328
 329 struct isl_basic_set *isl_basic_set_recession_cone(struct isl_basic_set *bset);
 330 struct isl_basic_set *isl_basic_set_lineality_space(struct isl_basic_set *bset);
 331
 332 struct isl_basic_set *isl_basic_set_set_rational(struct isl_basic_set *bset);
 333 __isl_give isl_set *isl_set_set_rational(__isl_take isl_set *set);
 334 __isl_give isl_basic_map *isl_basic_map_set_rational(
 335         __isl_take isl_basic_map *bmap);
 336 __isl_give isl_map *isl_map_set_rational(__isl_take isl_map *map);
 337
 338 int isl_map_has_rational(__isl_keep isl_map *map);
 339 int isl_set_has_rational(__isl_keep isl_set *set);
 340
 341 struct isl_mat;
 342
 343 struct isl_basic_set *isl_basic_set_preimage(struct isl_basic_set *bset,
 344         struct isl_mat *mat);
 345 struct isl_set *isl_set_preimage(struct isl_set *set, struct isl_mat *mat);
 346
 347 __isl_give isl_basic_set *isl_basic_set_transform_dims(
 348         __isl_take isl_basic_set *bset, enum isl_dim_type type, unsigned first,
 349         __isl_take isl_mat *trans);
 350
 351 isl_int *isl_set_wrap_facet(__isl_keep isl_set *set,
 352         isl_int *facet, isl_int *ridge);
 353
 354 int isl_basic_map_contains_point(__isl_keep isl_basic_map *bmap,
 355         __isl_keep isl_point *point);
 356 int isl_set_contains_point(__isl_keep isl_set *set, __isl_keep isl_point *point);
 357
 358 int isl_basic_set_vars_get_sign(__isl_keep isl_basic_set *bset,
 359         unsigned first, unsigned n, int *signs);
 360 int isl_set_foreach_orthant(__isl_keep isl_set *set,
 361         int (*fn)(__isl_take isl_set *orthant, int *signs, void *user),
 362         void *user);
 363
 364 int isl_basic_map_add_div_constraints_var(__isl_keep isl_basic_map *bmap,
 365         unsigned pos, isl_int *div);
 366 int isl_basic_set_add_div_constraints_var(__isl_keep isl_basic_set *bset,
 367         unsigned pos, isl_int *div);
 368 int isl_basic_map_is_div_constraint(__isl_keep isl_basic_map *bmap,
 369         isl_int *constraint, unsigned div);
 370 int isl_basic_set_is_div_constraint(__isl_keep isl_basic_set *bset,
 371         isl_int *constraint, unsigned div);
 372
 373 __isl_give isl_basic_set *isl_basic_set_from_local_space(
 374         __isl_take isl_local_space *ls);
 375 __isl_give isl_basic_map *isl_basic_map_from_local_space(
 376         __isl_take isl_local_space *ls);
 377 __isl_give isl_basic_set *isl_basic_set_expand_divs(
 378         __isl_take isl_basic_set *bset, __isl_take isl_mat *div, int *exp);
 379
 380 int isl_basic_map_divs_known(__isl_keep isl_basic_map *bmap);
 381 __isl_give isl_mat *isl_basic_set_get_divs(__isl_keep isl_basic_set *bset);
 382 __isl_give isl_mat *isl_basic_map_get_divs(__isl_keep isl_basic_map *bmap);
 383
 384 __isl_give isl_map *isl_map_inline_foreach_basic_map(__isl_take isl_map *map,
 385         __isl_give isl_basic_map *(*fn)(__isl_take isl_basic_map *bmap));
 386
 387 __isl_give isl_map *isl_map_align_params_map_map_and(
 388         __isl_take isl_map *map1, __isl_take isl_map *map2,
 389         __isl_give isl_map *(*fn)(__isl_take isl_map *map1,
 390                                     __isl_take isl_map *map2));
 391 int isl_map_align_params_map_map_and_test(__isl_keep isl_map *map1,
 392         __isl_keep isl_map *map2,
 393         int (*fn)(__isl_keep isl_map *map1, __isl_keep isl_map *map2));
 394
 395 int isl_basic_map_foreach_lexopt(__isl_keep isl_basic_map *bmap, int max,
 396         int (*fn)(__isl_take isl_basic_set *dom, __isl_take isl_aff_list *list,
 397                   void *user),
 398         void *user);
 399 int isl_basic_set_foreach_lexopt(__isl_keep isl_basic_set *bset, int max,
 400         int (*fn)(__isl_take isl_basic_set *dom, __isl_take isl_aff_list *list,
 401                   void *user),
 402         void *user);
 403
 404 __isl_give isl_set *isl_set_substitute(__isl_take isl_set *set,
 405         enum isl_dim_type type, unsigned pos, __isl_keep isl_aff *subs);
 406
 407 __isl_give isl_set *isl_set_gist_params_basic_set(__isl_take isl_set *set,
 408         __isl_take isl_basic_set *context);
 409
 410 int isl_map_compatible_range(__isl_keep isl_map *map, __isl_keep isl_set *set);
 411
 412 int isl_basic_map_plain_is_single_valued(__isl_keep isl_basic_map *bmap);
 413
 414 int isl_map_is_set(__isl_keep isl_map *map);
 415
 416 int isl_basic_set_plain_dim_is_fixed(__isl_keep isl_basic_set *bset,
 417         unsigned dim, isl_int *val);
 418
 419 __isl_give isl_basic_map *isl_basic_map_plain_affine_hull(
 420         __isl_take isl_basic_map *bmap);
 421
 422 int isl_basic_set_dim_residue_class(struct isl_basic_set *bset,
 423         int pos, isl_int *modulo, isl_int *residue);
 424 int isl_set_dim_residue_class(struct isl_set *set,
 425         int pos, isl_int *modulo, isl_int *residue);
 426
 427 __isl_give isl_basic_set *isl_basic_set_fix(__isl_take isl_basic_set *bset,
 428         enum isl_dim_type type, unsigned pos, isl_int value);
 429 __isl_give isl_set *isl_set_fix(__isl_take isl_set *set,
 430         enum isl_dim_type type, unsigned pos, isl_int value);
 431 int isl_map_plain_is_fixed(__isl_keep isl_map *map,
 432         enum isl_dim_type type, unsigned pos, isl_int *val);
 433
 434 int isl_basic_map_output_defining_equality(__isl_keep isl_basic_map *bmap,
 435         int pos);
 436
 437 __isl_give isl_basic_map *isl_basic_map_reduce_coefficients(
 438         __isl_take isl_basic_map *bmap);
 439
 440 __isl_give isl_basic_map *isl_basic_map_shift_div(
 441         __isl_take isl_basic_map *bmap, int div, isl_int shift);
 442
 443 __isl_give isl_basic_map_list *isl_map_get_basic_map_list(
 444         __isl_keep isl_map *map);
 445
 446 __isl_give isl_map *isl_map_fixed_power(__isl_take isl_map *map, isl_int exp);
 447
 448 int isl_basic_set_count_upto(__isl_keep isl_basic_set *bset,
 449         isl_int max, isl_int *count);
 450 int isl_set_count_upto(__isl_keep isl_set *set, isl_int max, isl_int *count);
 451
 452 #endif