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_maybe_isl_basic_set isl_maybe_isl_basic_map
  15 #define isl_set         isl_map
  16 #define isl_basic_set_list      isl_basic_map_list
  17 #define isl_set_list    isl_map_list
  18 #include <isl/list.h>
  19 #include <isl/set.h>
  20 #include <isl/map.h>
  21 #include <isl_reordering.h>
  22 #include <isl/vec.h>
  23 #include <isl/hash.h>
  24 #include <isl_blk.h>
  25
  26 /* A "basic map" is a relation between two sets of variables,
  27  * called the "in" and "out" variables.
  28  * A "basic set" is a basic map with a zero-dimensional
  29  * domain.
  30  *
  31  * It is implemented as a set with two extra fields:
  32  * n_in is the number of in variables
  33  * n_out is the number of out variables
  34  * n_in + n_out should be equal to set.dim
  35  */
  36 struct isl_basic_map {
  37         int ref;
  38 #define ISL_BASIC_MAP_FINAL             (1 << 0)
  39 #define ISL_BASIC_MAP_EMPTY             (1 << 1)
  40 #define ISL_BASIC_MAP_NO_IMPLICIT       (1 << 2)
  41 #define ISL_BASIC_MAP_NO_REDUNDANT      (1 << 3)
  42 #define ISL_BASIC_MAP_RATIONAL          (1 << 4)
  43 #define ISL_BASIC_MAP_NORMALIZED        (1 << 5)
  44 #define ISL_BASIC_MAP_NORMALIZED_DIVS   (1 << 6)
  45 #define ISL_BASIC_MAP_ALL_EQUALITIES    (1 << 7)
  46 #define ISL_BASIC_MAP_REDUCED_COEFFICIENTS      (1 << 8)
  47 #define ISL_BASIC_SET_FINAL             (1 << 0)
  48 #define ISL_BASIC_SET_EMPTY             (1 << 1)
  49 #define ISL_BASIC_SET_NO_IMPLICIT       (1 << 2)
  50 #define ISL_BASIC_SET_NO_REDUNDANT      (1 << 3)
  51 #define ISL_BASIC_SET_RATIONAL          (1 << 4)
  52 #define ISL_BASIC_SET_NORMALIZED        (1 << 5)
  53 #define ISL_BASIC_SET_NORMALIZED_DIVS   (1 << 6)
  54 #define ISL_BASIC_SET_ALL_EQUALITIES    (1 << 7)
  55 #define ISL_BASIC_SET_REDUCED_COEFFICIENTS      (1 << 8)
  56         unsigned flags;
  57
  58         struct isl_ctx *ctx;
  59
  60         isl_space *dim;
  61         unsigned extra;
  62
  63         unsigned n_eq;
  64         unsigned n_ineq;
  65
  66         size_t c_size;
  67         isl_int **eq;
  68         isl_int **ineq;
  69
  70         unsigned n_div;
  71
  72         isl_int **div;
  73
  74         struct isl_vec *sample;
  75
  76         struct isl_blk block;
  77         struct isl_blk block2;
  78 };
  79
  80 #undef EL
  81 #define EL isl_basic_set
  82
  83 #include <isl_list_templ.h>
  84
  85 /* A "map" is a (possibly disjoint) union of basic maps.
  86  * A "set" is a (possibly disjoint) union of basic sets.
  87  *
  88  * Currently, the isl_set structure is identical to the isl_map structure
  89  * and the library depends on this correspondence internally.
  90  * However, users should not depend on this correspondence.
  91  *
  92  * "cached_simple_hull" contains copies of the unshifted and shifted
  93  * simple hulls, if they have already been computed.  Otherwise,
  94  * the entries are NULL.
  95  */
  96 struct isl_map {
  97         int ref;
  98 #define ISL_MAP_DISJOINT                (1 << 0)
  99 #define ISL_MAP_NORMALIZED              (1 << 1)
 100 #define ISL_SET_DISJOINT                (1 << 0)
 101 #define ISL_SET_NORMALIZED              (1 << 1)
 102         unsigned flags;
 103         isl_basic_map *cached_simple_hull[2];
 104
 105         struct isl_ctx *ctx;
 106
 107         isl_space *dim;
 108
 109         int n;
 110
 111         size_t size;
 112         struct isl_basic_map *p[1];
 113 };
 114
 115 #undef EL
 116 #define EL isl_set
 117
 118 #include <isl_list_templ.h>
 119
 120 __isl_give isl_basic_set *isl_basic_set_alloc(isl_ctx *ctx,
 121         unsigned nparam, unsigned dim, unsigned extra,
 122         unsigned n_eq, unsigned n_ineq);
 123 __isl_give isl_basic_set *isl_basic_set_extend(__isl_take isl_basic_set *base,
 124         unsigned nparam, unsigned dim, unsigned extra,
 125         unsigned n_eq, unsigned n_ineq);
 126 __isl_give isl_basic_set *isl_basic_set_extend_constraints(
 127         __isl_take isl_basic_set *base, unsigned n_eq, unsigned n_ineq);
 128 __isl_give isl_basic_set *isl_basic_set_finalize(
 129         __isl_take isl_basic_set *bset);
 130 __isl_give isl_basic_set *isl_basic_set_dup(__isl_keep isl_basic_set *bset);
 131 __isl_give isl_basic_set *isl_basic_set_simplify(
 132         __isl_take isl_basic_set *bset);
 133
 134 __isl_give isl_basic_map *isl_basic_map_alloc(isl_ctx *ctx,
 135         unsigned nparam, unsigned in, unsigned out, unsigned extra,
 136         unsigned n_eq, unsigned n_ineq);
 137 __isl_give isl_basic_map *isl_basic_map_mark_final(
 138         __isl_take isl_basic_map *bmap);
 139 __isl_give isl_basic_map *isl_basic_map_finalize(
 140         __isl_take isl_basic_map *bmap);
 141 __isl_give isl_basic_map *isl_basic_map_extend(__isl_take isl_basic_map *base,
 142         unsigned nparam, unsigned n_in, unsigned n_out, unsigned extra,
 143         unsigned n_eq, unsigned n_ineq);
 144 __isl_give isl_basic_map *isl_basic_map_extend_constraints(
 145         __isl_take isl_basic_map *base, unsigned n_eq, unsigned n_ineq);
 146 __isl_give isl_basic_map *isl_basic_map_simplify(
 147         __isl_take isl_basic_map *bmap);
 148
 149 __isl_give isl_set *isl_set_alloc(isl_ctx *ctx,
 150         unsigned nparam, unsigned dim, int n, unsigned flags);
 151 __isl_give isl_set *isl_set_add_basic_set(__isl_take isl_set *set,
 152         __isl_take isl_basic_set *bset);
 153 __isl_give isl_set *isl_set_finalize(__isl_take isl_set *set);
 154 __isl_give isl_set *isl_set_dup(__isl_keep isl_set *set);
 155
 156 __isl_give isl_map *isl_map_alloc(isl_ctx *ctx,
 157         unsigned nparam, unsigned in, unsigned out, int n, unsigned flags);
 158 __isl_give isl_map *isl_map_add_basic_map(__isl_take isl_map *map,
 159         __isl_take isl_basic_map *bmap);
 160 __isl_give isl_map *isl_map_dup(__isl_keep isl_map *map);
 161 __isl_give isl_map *isl_map_finalize(__isl_take isl_map *map);
 162
 163 __isl_give isl_basic_set *isl_basic_set_from_underlying_set(
 164         __isl_take isl_basic_set *bset, __isl_take isl_basic_set *like);
 165
 166 __isl_give isl_map *isl_map_realign(__isl_take isl_map *map,
 167         __isl_take isl_reordering *r);
 168 __isl_give isl_set *isl_set_realign(__isl_take isl_set *set,
 169         __isl_take isl_reordering *r);
 170
 171 __isl_give isl_map *isl_map_reset(__isl_take isl_map *map,
 172         enum isl_dim_type type);
 173
 174 __isl_give isl_basic_set *isl_basic_set_reset_space(
 175         __isl_take isl_basic_set *bset, __isl_take isl_space *dim);
 176 __isl_give isl_basic_map *isl_basic_map_reset_space(
 177         __isl_take isl_basic_map *bmap, __isl_take isl_space *dim);
 178 __isl_give isl_map *isl_map_reset_space(__isl_take isl_map *map,
 179         __isl_take isl_space *dim);
 180
 181 unsigned isl_basic_map_offset(struct isl_basic_map *bmap,
 182                                         enum isl_dim_type type);
 183 unsigned isl_basic_set_offset(struct isl_basic_set *bset,
 184                                         enum isl_dim_type type);
 185
 186 isl_bool isl_basic_map_may_be_set(__isl_keep isl_basic_map *bmap);
 187 int isl_map_may_be_set(__isl_keep isl_map *map);
 188 isl_bool isl_map_compatible_domain(__isl_keep isl_map *map,
 189         __isl_keep isl_set *set);
 190 isl_bool isl_basic_map_compatible_domain(__isl_keep isl_basic_map *bmap,
 191         __isl_keep isl_basic_set *bset);
 192 isl_bool isl_basic_map_compatible_range(__isl_keep isl_basic_map *bmap,
 193         __isl_keep isl_basic_set *bset);
 194
 195 struct isl_basic_map *isl_basic_map_extend_space(struct isl_basic_map *base,
 196                 __isl_take isl_space *dim, unsigned extra,
 197                 unsigned n_eq, unsigned n_ineq);
 198 struct isl_basic_set *isl_basic_set_extend_space(struct isl_basic_set *base,
 199                 __isl_take isl_space *dim, unsigned extra,
 200                 unsigned n_eq, unsigned n_ineq);
 201 struct isl_basic_set *isl_basic_set_add_constraints(struct isl_basic_set *bset1,
 202                 struct isl_basic_set *bset2, unsigned pos);
 203
 204 struct isl_map *isl_map_grow(struct isl_map *map, int n);
 205 struct isl_set *isl_set_grow(struct isl_set *set, int n);
 206
 207 isl_bool isl_basic_set_contains(__isl_keep isl_basic_set *bset,
 208         __isl_keep isl_vec *vec);
 209 isl_bool isl_basic_map_contains(__isl_keep isl_basic_map *bmap,
 210         __isl_keep isl_vec *vec);
 211
 212 __isl_give isl_basic_set *isl_basic_set_alloc_space(__isl_take isl_space *dim,
 213                 unsigned extra, unsigned n_eq, unsigned n_ineq);
 214 __isl_give isl_set *isl_set_alloc_space(__isl_take isl_space *dim, int n,
 215         unsigned flags);
 216 __isl_give isl_basic_map *isl_basic_map_alloc_space(__isl_take isl_space *dim,
 217                 unsigned extra, unsigned n_eq, unsigned n_ineq);
 218 __isl_give isl_map *isl_map_alloc_space(__isl_take isl_space *dim, int n,
 219         unsigned flags);
 220
 221 int isl_basic_map_alloc_equality(struct isl_basic_map *bmap);
 222 int isl_basic_set_alloc_equality(struct isl_basic_set *bset);
 223 int isl_basic_set_free_inequality(struct isl_basic_set *bset, unsigned n);
 224 int isl_basic_map_free_equality(struct isl_basic_map *bmap, unsigned n);
 225 int isl_basic_set_free_equality(struct isl_basic_set *bset, unsigned n);
 226 int isl_basic_set_alloc_inequality(struct isl_basic_set *bset);
 227 int isl_basic_map_alloc_inequality(struct isl_basic_map *bmap);
 228 int isl_basic_map_free_inequality(struct isl_basic_map *bmap, unsigned n);
 229 int isl_basic_map_alloc_div(struct isl_basic_map *bmap);
 230 __isl_give isl_basic_map *isl_basic_map_insert_div(
 231         __isl_take isl_basic_map *bmap, int pos, __isl_keep isl_vec *div);
 232 int isl_basic_set_alloc_div(struct isl_basic_set *bset);
 233 isl_stat isl_basic_map_free_div(struct isl_basic_map *bmap, unsigned n);
 234 isl_stat isl_basic_set_free_div(struct isl_basic_set *bset, unsigned n);
 235 __isl_give isl_basic_map *isl_basic_map_drop_div(
 236         __isl_take isl_basic_map *bmap, unsigned div);
 237 void isl_basic_map_inequality_to_equality(
 238                 struct isl_basic_map *bmap, unsigned pos);
 239 int isl_basic_map_drop_equality(struct isl_basic_map *bmap, unsigned pos);
 240 int isl_basic_set_drop_equality(struct isl_basic_set *bset, unsigned pos);
 241 int isl_basic_set_drop_inequality(struct isl_basic_set *bset, unsigned pos);
 242 int isl_basic_map_drop_inequality(struct isl_basic_map *bmap, unsigned pos);
 243 __isl_give isl_basic_set *isl_basic_set_add_eq(__isl_take isl_basic_set *bset,
 244         isl_int *eq);
 245 __isl_give isl_basic_map *isl_basic_map_add_eq(__isl_take isl_basic_map *bmap,
 246         isl_int *eq);
 247 __isl_give isl_basic_set *isl_basic_set_add_ineq(__isl_take isl_basic_set *bset,
 248         isl_int *ineq);
 249 __isl_give isl_basic_map *isl_basic_map_add_ineq(__isl_take isl_basic_map *bmap,
 250         isl_int *ineq);
 251
 252 __isl_give isl_basic_set *isl_basic_set_tighten_outward(
 253         __isl_take isl_basic_set *bset, __isl_keep isl_vec *vec);
 254
 255 int isl_inequality_negate(struct isl_basic_map *bmap, unsigned pos);
 256
 257 struct isl_basic_set *isl_basic_set_cow(struct isl_basic_set *bset);
 258 struct isl_basic_map *isl_basic_map_cow(struct isl_basic_map *bmap);
 259 struct isl_set *isl_set_cow(struct isl_set *set);
 260 struct isl_map *isl_map_cow(struct isl_map *map);
 261
 262 uint32_t isl_basic_map_get_hash(__isl_keep isl_basic_map *bmap);
 263
 264 __isl_give isl_set *isl_basic_set_list_union(
 265         __isl_take isl_basic_set_list *list);
 266
 267 struct isl_basic_map *isl_basic_map_set_to_empty(struct isl_basic_map *bmap);
 268 struct isl_basic_set *isl_basic_set_set_to_empty(struct isl_basic_set *bset);
 269 struct isl_basic_set *isl_basic_set_order_divs(struct isl_basic_set *bset);
 270 void isl_basic_map_swap_div(struct isl_basic_map *bmap, int a, int b);
 271 void isl_basic_set_swap_div(struct isl_basic_set *bset, int a, int b);
 272 struct isl_basic_map *isl_basic_map_order_divs(struct isl_basic_map *bmap);
 273 __isl_give isl_map *isl_map_order_divs(__isl_take isl_map *map);
 274 struct isl_basic_map *isl_basic_map_align_divs(
 275                 struct isl_basic_map *dst, struct isl_basic_map *src);
 276 struct isl_basic_set *isl_basic_set_align_divs(
 277                 struct isl_basic_set *dst, struct isl_basic_set *src);
 278 __isl_give isl_map *isl_map_align_divs_to_basic_map_list(
 279         __isl_take isl_map *map, __isl_keep isl_basic_map_list *list);
 280 __isl_give isl_basic_map_list *isl_basic_map_list_align_divs_to_basic_map(
 281         __isl_take isl_basic_map_list *list, __isl_keep isl_basic_map *bmap);
 282 __isl_give isl_basic_set *isl_basic_set_sort_divs(
 283         __isl_take isl_basic_set *bset);
 284 __isl_give isl_basic_map *isl_basic_map_sort_divs(
 285         __isl_take isl_basic_map *bmap);
 286 __isl_give isl_map *isl_map_sort_divs(__isl_take isl_map *map);
 287 struct isl_basic_map *isl_basic_map_gauss(
 288         struct isl_basic_map *bmap, int *progress);
 289 struct isl_basic_set *isl_basic_set_gauss(
 290         struct isl_basic_set *bset, int *progress);
 291 int isl_basic_map_constraint_cmp(__isl_keep isl_basic_map *bmap,
 292         isl_int *c1, isl_int *c2);
 293 __isl_give isl_basic_map *isl_basic_map_sort_constraints(
 294         __isl_take isl_basic_map *bmap);
 295 __isl_give isl_basic_set *isl_basic_set_sort_constraints(
 296         __isl_take isl_basic_set *bset);
 297 int isl_basic_map_plain_cmp(__isl_keep isl_basic_map *bmap1,
 298         __isl_keep isl_basic_map *bmap2);
 299 isl_bool isl_basic_map_plain_is_equal(__isl_keep isl_basic_map *bmap1,
 300         __isl_keep isl_basic_map *bmap2);
 301 struct isl_basic_map *isl_basic_map_normalize_constraints(
 302         struct isl_basic_map *bmap);
 303 struct isl_basic_set *isl_basic_set_normalize_constraints(
 304         struct isl_basic_set *bset);
 305 struct isl_basic_map *isl_basic_map_implicit_equalities(
 306                                                 struct isl_basic_map *bmap);
 307 struct isl_basic_set *isl_basic_map_underlying_set(struct isl_basic_map *bmap);
 308 __isl_give isl_basic_set *isl_basic_set_underlying_set(
 309                 __isl_take isl_basic_set *bset);
 310 __isl_give isl_basic_set_list *isl_basic_map_list_underlying_set(
 311         __isl_take isl_basic_map_list *list);
 312 struct isl_set *isl_map_underlying_set(struct isl_map *map);
 313 struct isl_basic_map *isl_basic_map_overlying_set(struct isl_basic_set *bset,
 314         struct isl_basic_map *like);
 315 __isl_give isl_basic_map *isl_basic_map_drop_constraint_involving_unknown_divs(
 316         __isl_take isl_basic_map *bmap);
 317 __isl_give isl_map *isl_map_drop_constraint_involving_unknown_divs(
 318         __isl_take isl_map *map);
 319 __isl_give isl_basic_set *isl_basic_set_drop_constraints_involving(
 320         __isl_take isl_basic_set *bset, unsigned first, unsigned n);
 321 __isl_give isl_basic_set *isl_basic_set_drop(__isl_take isl_basic_set *bset,
 322         enum isl_dim_type type, unsigned first, unsigned n);
 323 struct isl_basic_map *isl_basic_map_drop(struct isl_basic_map *bmap,
 324         enum isl_dim_type type, unsigned first, unsigned n);
 325 struct isl_set *isl_set_drop(struct isl_set *set,
 326         enum isl_dim_type type, unsigned first, unsigned n);
 327 struct isl_basic_set *isl_basic_set_drop_dims(
 328                 struct isl_basic_set *bset, unsigned first, unsigned n);
 329 struct isl_set *isl_set_drop_dims(
 330                 struct isl_set *set, unsigned first, unsigned n);
 331 struct isl_map *isl_map_drop_inputs(
 332                 struct isl_map *map, unsigned first, unsigned n);
 333 struct isl_map *isl_map_drop(struct isl_map *map,
 334         enum isl_dim_type type, unsigned first, unsigned n);
 335 __isl_give isl_basic_map *isl_basic_map_drop_unrelated_constraints(
 336         __isl_take isl_basic_map *bmap, __isl_take int *group);
 337
 338 __isl_give isl_basic_map *isl_basic_map_remove_duplicate_constraints(
 339         __isl_take isl_basic_map *bmap, int *progress, int detect_divs);
 340 __isl_give isl_basic_map *isl_basic_map_detect_inequality_pairs(
 341         __isl_take isl_basic_map *bmap, int *progress);
 342
 343 struct isl_map *isl_map_remove_empty_parts(struct isl_map *map);
 344 struct isl_set *isl_set_remove_empty_parts(struct isl_set *set);
 345 __isl_give isl_map *isl_map_remove_obvious_duplicates(__isl_take isl_map *map);
 346
 347 struct isl_set *isl_set_normalize(struct isl_set *set);
 348
 349 struct isl_set *isl_set_drop_vars(
 350                 struct isl_set *set, unsigned first, unsigned n);
 351
 352 struct isl_basic_map *isl_basic_map_eliminate_vars(
 353         struct isl_basic_map *bmap, unsigned pos, unsigned n);
 354 struct isl_basic_set *isl_basic_set_eliminate_vars(
 355         struct isl_basic_set *bset, unsigned pos, unsigned n);
 356
 357 __isl_give isl_map *isl_map_eliminate(__isl_take isl_map *map,
 358         enum isl_dim_type type, unsigned first, unsigned n);
 359 __isl_give isl_set *isl_set_eliminate(__isl_take isl_set *set,
 360         enum isl_dim_type type, unsigned first, unsigned n);
 361
 362 int isl_basic_map_add_div_constraint(__isl_keep isl_basic_map *bmap,
 363         unsigned div, int sign);
 364 int isl_basic_map_add_div_constraints(struct isl_basic_map *bmap, unsigned div);
 365 __isl_give isl_basic_map *isl_basic_map_add_known_div_constraints(
 366         __isl_take isl_basic_map *bmap);
 367 struct isl_basic_map *isl_basic_map_drop_redundant_divs(
 368         struct isl_basic_map *bmap);
 369 struct isl_basic_set *isl_basic_set_drop_redundant_divs(
 370         struct isl_basic_set *bset);
 371
 372 struct isl_basic_set *isl_basic_set_recession_cone(struct isl_basic_set *bset);
 373 struct isl_basic_set *isl_basic_set_lineality_space(struct isl_basic_set *bset);
 374
 375 struct isl_basic_set *isl_basic_set_set_rational(struct isl_basic_set *bset);
 376 __isl_give isl_set *isl_set_set_rational(__isl_take isl_set *set);
 377 __isl_give isl_basic_map *isl_basic_map_set_rational(
 378         __isl_take isl_basic_map *bmap);
 379 __isl_give isl_map *isl_map_set_rational(__isl_take isl_map *map);
 380
 381 isl_bool isl_map_is_rational(__isl_keep isl_map *map);
 382 isl_bool isl_set_is_rational(__isl_keep isl_set *set);
 383
 384 isl_bool isl_map_has_rational(__isl_keep isl_map *map);
 385 isl_bool isl_set_has_rational(__isl_keep isl_set *set);
 386
 387 __isl_give isl_basic_map *isl_basic_map_from_multi_aff2(
 388         __isl_take isl_multi_aff *maff, int rational);
 389
 390 struct isl_mat;
 391
 392 struct isl_basic_set *isl_basic_set_preimage(struct isl_basic_set *bset,
 393         struct isl_mat *mat);
 394 struct isl_set *isl_set_preimage(struct isl_set *set, struct isl_mat *mat);
 395
 396 __isl_give isl_basic_map *isl_basic_map_transform_dims(
 397         __isl_take isl_basic_map *bmap, enum isl_dim_type type, unsigned first,
 398         __isl_take isl_mat *trans);
 399 __isl_give isl_basic_set *isl_basic_set_transform_dims(
 400         __isl_take isl_basic_set *bset, enum isl_dim_type type, unsigned first,
 401         __isl_take isl_mat *trans);
 402
 403 isl_int *isl_set_wrap_facet(__isl_keep isl_set *set,
 404         isl_int *facet, isl_int *ridge);
 405
 406 isl_bool isl_basic_map_contains_point(__isl_keep isl_basic_map *bmap,
 407         __isl_keep isl_point *point);
 408 isl_bool isl_set_contains_point(__isl_keep isl_set *set,
 409         __isl_keep isl_point *point);
 410
 411 isl_stat isl_basic_set_vars_get_sign(__isl_keep isl_basic_set *bset,
 412         unsigned first, unsigned n, int *signs);
 413 isl_stat isl_set_foreach_orthant(__isl_keep isl_set *set,
 414         isl_stat (*fn)(__isl_take isl_set *orthant, int *signs, void *user),
 415         void *user);
 416
 417 int isl_basic_map_add_div_constraints_var(__isl_keep isl_basic_map *bmap,
 418         unsigned pos, isl_int *div);
 419 int isl_basic_set_add_div_constraints_var(__isl_keep isl_basic_set *bset,
 420         unsigned pos, isl_int *div);
 421 isl_bool isl_basic_map_is_div_constraint(__isl_keep isl_basic_map *bmap,
 422         isl_int *constraint, unsigned div);
 423 isl_bool isl_basic_set_is_div_constraint(__isl_keep isl_basic_set *bset,
 424         isl_int *constraint, unsigned div);
 425
 426 __isl_give isl_basic_set *isl_basic_set_from_local_space(
 427         __isl_take isl_local_space *ls);
 428 __isl_give isl_basic_map *isl_basic_map_from_local_space(
 429         __isl_take isl_local_space *ls);
 430 __isl_give isl_basic_set *isl_basic_set_expand_divs(
 431         __isl_take isl_basic_set *bset, __isl_take isl_mat *div, int *exp);
 432 __isl_give isl_basic_map *isl_basic_map_expand_divs(
 433         __isl_take isl_basic_set *bmap, __isl_take isl_mat *div, int *exp);
 434
 435 __isl_give isl_basic_map *isl_basic_map_mark_div_unknown(
 436         __isl_take isl_basic_map *bmap, int div);
 437 isl_bool isl_basic_map_div_is_marked_unknown(__isl_keep isl_basic_map *bmap,
 438         int div);
 439 isl_bool isl_basic_set_div_is_known(__isl_keep isl_basic_set *bset, int div);
 440 isl_bool isl_basic_map_div_is_known(__isl_keep isl_basic_map *bmap, int div);
 441 int isl_basic_set_first_unknown_div(__isl_keep isl_basic_set *bset);
 442 int isl_basic_map_first_unknown_div(__isl_keep isl_basic_map *bmap);
 443 isl_bool isl_basic_map_divs_known(__isl_keep isl_basic_map *bmap);
 444 isl_bool isl_map_divs_known(__isl_keep isl_map *map);
 445 __isl_give isl_mat *isl_basic_set_get_divs(__isl_keep isl_basic_set *bset);
 446 __isl_give isl_mat *isl_basic_map_get_divs(__isl_keep isl_basic_map *bmap);
 447
 448 __isl_give isl_map *isl_map_inline_foreach_basic_map(__isl_take isl_map *map,
 449         __isl_give isl_basic_map *(*fn)(__isl_take isl_basic_map *bmap));
 450
 451 __isl_give isl_map *isl_map_align_params_map_map_and(
 452         __isl_take isl_map *map1, __isl_take isl_map *map2,
 453         __isl_give isl_map *(*fn)(__isl_take isl_map *map1,
 454                                     __isl_take isl_map *map2));
 455 isl_bool isl_map_align_params_map_map_and_test(__isl_keep isl_map *map1,
 456         __isl_keep isl_map *map2,
 457         isl_bool (*fn)(__isl_keep isl_map *map1, __isl_keep isl_map *map2));
 458
 459 isl_stat isl_basic_map_foreach_lexopt(__isl_keep isl_basic_map *bmap, int max,
 460         isl_stat (*fn)(__isl_take isl_basic_set *dom,
 461                 __isl_take isl_aff_list *list, void *user),
 462         void *user);
 463 isl_stat isl_basic_set_foreach_lexopt(__isl_keep isl_basic_set *bset, int max,
 464         isl_stat (*fn)(__isl_take isl_basic_set *dom,
 465                 __isl_take isl_aff_list *list, void *user),
 466         void *user);
 467
 468 __isl_give isl_set *isl_set_substitute(__isl_take isl_set *set,
 469         enum isl_dim_type type, unsigned pos, __isl_keep isl_aff *subs);
 470
 471 __isl_give isl_set *isl_set_gist_params_basic_set(__isl_take isl_set *set,
 472         __isl_take isl_basic_set *context);
 473
 474 isl_bool isl_map_compatible_range(__isl_keep isl_map *map,
 475         __isl_keep isl_set *set);
 476
 477 isl_bool isl_basic_map_plain_is_non_empty(__isl_keep isl_basic_map *bmap);
 478 isl_bool isl_basic_map_plain_is_single_valued(__isl_keep isl_basic_map *bmap);
 479
 480 isl_bool isl_map_is_set(__isl_keep isl_map *map);
 481
 482 isl_bool isl_basic_set_plain_dim_is_fixed(__isl_keep isl_basic_set *bset,
 483         unsigned dim, isl_int *val);
 484
 485 __isl_give isl_map *isl_map_plain_gist_basic_map(__isl_take isl_map *map,
 486         __isl_take isl_basic_map *context);
 487
 488 __isl_give isl_basic_set *isl_basic_set_plain_affine_hull(
 489         __isl_take isl_basic_set *bset);
 490 __isl_give isl_basic_map *isl_basic_map_plain_affine_hull(
 491         __isl_take isl_basic_map *bmap);
 492
 493 isl_stat isl_basic_set_dim_residue_class(__isl_keep isl_basic_set *bset,
 494         int pos, isl_int *modulo, isl_int *residue);
 495 isl_stat isl_set_dim_residue_class(__isl_keep isl_set *set,
 496         int pos, isl_int *modulo, isl_int *residue);
 497
 498 __isl_give isl_basic_set *isl_basic_set_fix(__isl_take isl_basic_set *bset,
 499         enum isl_dim_type type, unsigned pos, isl_int value);
 500 __isl_give isl_basic_map *isl_basic_map_fix(__isl_take isl_basic_map *bmap,
 501         enum isl_dim_type type, unsigned pos, isl_int value);
 502 __isl_give isl_set *isl_set_fix(__isl_take isl_set *set,
 503         enum isl_dim_type type, unsigned pos, isl_int value);
 504 isl_bool isl_map_plain_is_fixed(__isl_keep isl_map *map,
 505         enum isl_dim_type type, unsigned pos, isl_int *val);
 506
 507 int isl_basic_map_output_defining_equality(__isl_keep isl_basic_map *bmap,
 508         int pos, int *div, int *ineq);
 509
 510 __isl_give isl_basic_map *isl_basic_map_reduce_coefficients(
 511         __isl_take isl_basic_map *bmap);
 512
 513 __isl_give isl_basic_map *isl_basic_map_shift_div(
 514         __isl_take isl_basic_map *bmap, int div, int pos, isl_int shift);
 515
 516 __isl_give isl_basic_map_list *isl_map_get_basic_map_list(
 517         __isl_keep isl_map *map);
 518
 519 __isl_give isl_map *isl_map_fixed_power(__isl_take isl_map *map, isl_int exp);
 520
 521 int isl_basic_set_count_upto(__isl_keep isl_basic_set *bset,
 522         isl_int max, isl_int *count);
 523 int isl_set_count_upto(__isl_keep isl_set *set, isl_int max, isl_int *count);
 524
 525 isl_bool isl_basic_map_equal_div_expr_part(__isl_keep isl_basic_map *bmap1,
 526         int pos1, __isl_keep isl_basic_map *bmap2, int pos2,
 527         unsigned first, unsigned n);
 528 isl_bool isl_basic_map_equal_div_expr_except_constant(
 529         __isl_keep isl_basic_map *bmap1, int pos1,
 530         __isl_keep isl_basic_map *bmap2, int pos2);
 531 __isl_give isl_basic_map *isl_basic_map_set_div_expr_constant_num_si_inplace(
 532         __isl_take isl_basic_map *bmap, int div, int value);
 533
 534 #endif