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 __isl_give isl_set *isl_set_from_underlying_set(
 166         __isl_take isl_set *set, __isl_take isl_basic_set *like);
 167 __isl_give isl_set *isl_set_to_underlying_set(__isl_take isl_set *set);
 168
 169 __isl_give isl_map *isl_map_realign(__isl_take isl_map *map,
 170         __isl_take isl_reordering *r);
 171 __isl_give isl_set *isl_set_realign(__isl_take isl_set *set,
 172         __isl_take isl_reordering *r);
 173
 174 __isl_give isl_map *isl_map_reset(__isl_take isl_map *map,
 175         enum isl_dim_type type);
 176
 177 __isl_give isl_basic_set *isl_basic_set_reset_space(
 178         __isl_take isl_basic_set *bset, __isl_take isl_space *dim);
 179 __isl_give isl_basic_map *isl_basic_map_reset_space(
 180         __isl_take isl_basic_map *bmap, __isl_take isl_space *dim);
 181 __isl_give isl_map *isl_map_reset_space(__isl_take isl_map *map,
 182         __isl_take isl_space *dim);
 183
 184 unsigned isl_basic_map_offset(struct isl_basic_map *bmap,
 185                                         enum isl_dim_type type);
 186 unsigned isl_basic_set_offset(struct isl_basic_set *bset,
 187                                         enum isl_dim_type type);
 188
 189 int isl_basic_map_may_be_set(__isl_keep isl_basic_map *bmap);
 190 int isl_map_may_be_set(__isl_keep isl_map *map);
 191 int isl_map_compatible_domain(struct isl_map *map, struct isl_set *set);
 192 isl_bool isl_basic_map_compatible_domain(__isl_keep isl_basic_map *bmap,
 193         __isl_keep isl_basic_set *bset);
 194 int isl_basic_map_compatible_range(struct isl_basic_map *bmap,
 195                 struct isl_basic_set *bset);
 196
 197 struct isl_basic_map *isl_basic_map_extend_space(struct isl_basic_map *base,
 198                 __isl_take isl_space *dim, unsigned extra,
 199                 unsigned n_eq, unsigned n_ineq);
 200 struct isl_basic_set *isl_basic_set_extend_space(struct isl_basic_set *base,
 201                 __isl_take isl_space *dim, unsigned extra,
 202                 unsigned n_eq, unsigned n_ineq);
 203 struct isl_basic_set *isl_basic_set_add_constraints(struct isl_basic_set *bset1,
 204                 struct isl_basic_set *bset2, unsigned pos);
 205
 206 struct isl_map *isl_map_grow(struct isl_map *map, int n);
 207 struct isl_set *isl_set_grow(struct isl_set *set, int n);
 208
 209 isl_bool isl_basic_set_contains(__isl_keep isl_basic_set *bset,
 210         __isl_keep isl_vec *vec);
 211 isl_bool isl_basic_map_contains(__isl_keep isl_basic_map *bmap,
 212         __isl_keep isl_vec *vec);
 213
 214 __isl_give isl_basic_set *isl_basic_set_alloc_space(__isl_take isl_space *dim,
 215                 unsigned extra, unsigned n_eq, unsigned n_ineq);
 216 __isl_give isl_set *isl_set_alloc_space(__isl_take isl_space *dim, int n,
 217         unsigned flags);
 218 __isl_give isl_basic_map *isl_basic_map_alloc_space(__isl_take isl_space *dim,
 219                 unsigned extra, unsigned n_eq, unsigned n_ineq);
 220 __isl_give isl_map *isl_map_alloc_space(__isl_take isl_space *dim, int n,
 221         unsigned flags);
 222
 223 unsigned isl_basic_map_total_dim(const struct isl_basic_map *bmap);
 224
 225 int isl_basic_map_alloc_equality(struct isl_basic_map *bmap);
 226 int isl_basic_set_alloc_equality(struct isl_basic_set *bset);
 227 int isl_basic_set_free_inequality(struct isl_basic_set *bset, unsigned n);
 228 int isl_basic_map_free_equality(struct isl_basic_map *bmap, unsigned n);
 229 int isl_basic_set_free_equality(struct isl_basic_set *bset, unsigned n);
 230 int isl_basic_set_alloc_inequality(struct isl_basic_set *bset);
 231 int isl_basic_map_alloc_inequality(struct isl_basic_map *bmap);
 232 int isl_basic_map_free_inequality(struct isl_basic_map *bmap, unsigned n);
 233 int isl_basic_map_alloc_div(struct isl_basic_map *bmap);
 234 __isl_give isl_basic_map *isl_basic_map_insert_div(
 235         __isl_take isl_basic_map *bmap, int pos, __isl_keep isl_vec *div);
 236 int isl_basic_set_alloc_div(struct isl_basic_set *bset);
 237 int isl_basic_map_free_div(struct isl_basic_map *bmap, unsigned n);
 238 int isl_basic_set_free_div(struct isl_basic_set *bset, unsigned n);
 239 __isl_give isl_basic_map *isl_basic_map_drop_div(
 240         __isl_take isl_basic_map *bmap, unsigned div);
 241 void isl_basic_map_inequality_to_equality(
 242                 struct isl_basic_map *bmap, unsigned pos);
 243 int isl_basic_map_drop_equality(struct isl_basic_map *bmap, unsigned pos);
 244 int isl_basic_set_drop_equality(struct isl_basic_set *bset, unsigned pos);
 245 int isl_basic_set_drop_inequality(struct isl_basic_set *bset, unsigned pos);
 246 int isl_basic_map_drop_inequality(struct isl_basic_map *bmap, unsigned pos);
 247 __isl_give isl_basic_set *isl_basic_set_add_eq(__isl_take isl_basic_set *bset,
 248         isl_int *eq);
 249 __isl_give isl_basic_map *isl_basic_map_add_eq(__isl_take isl_basic_map *bmap,
 250         isl_int *eq);
 251 __isl_give isl_basic_set *isl_basic_set_add_ineq(__isl_take isl_basic_set *bset,
 252         isl_int *ineq);
 253 __isl_give isl_basic_map *isl_basic_map_add_ineq(__isl_take isl_basic_map *bmap,
 254         isl_int *ineq);
 255
 256 __isl_give isl_basic_set *isl_basic_set_tighten_outward(
 257         __isl_take isl_basic_set *bset, __isl_keep isl_vec *vec);
 258
 259 int isl_inequality_negate(struct isl_basic_map *bmap, unsigned pos);
 260
 261 struct isl_basic_set *isl_basic_set_cow(struct isl_basic_set *bset);
 262 struct isl_basic_map *isl_basic_map_cow(struct isl_basic_map *bmap);
 263 struct isl_set *isl_set_cow(struct isl_set *set);
 264 struct isl_map *isl_map_cow(struct isl_map *map);
 265
 266 uint32_t isl_basic_map_get_hash(__isl_keep isl_basic_map *bmap);
 267
 268 __isl_give isl_set *isl_basic_set_list_union(
 269         __isl_take isl_basic_set_list *list);
 270
 271 struct isl_basic_map *isl_basic_map_set_to_empty(struct isl_basic_map *bmap);
 272 struct isl_basic_set *isl_basic_set_set_to_empty(struct isl_basic_set *bset);
 273 struct isl_basic_set *isl_basic_set_order_divs(struct isl_basic_set *bset);
 274 void isl_basic_map_swap_div(struct isl_basic_map *bmap, int a, int b);
 275 void isl_basic_set_swap_div(struct isl_basic_set *bset, int a, int b);
 276 struct isl_basic_map *isl_basic_map_order_divs(struct isl_basic_map *bmap);
 277 __isl_give isl_map *isl_map_order_divs(__isl_take isl_map *map);
 278 struct isl_basic_map *isl_basic_map_align_divs(
 279                 struct isl_basic_map *dst, struct isl_basic_map *src);
 280 struct isl_basic_set *isl_basic_set_align_divs(
 281                 struct isl_basic_set *dst, struct isl_basic_set *src);
 282 __isl_give isl_map *isl_map_align_divs_to_basic_map_list(
 283         __isl_take isl_map *map, __isl_keep isl_basic_map_list *list);
 284 __isl_give isl_basic_map_list *isl_basic_map_list_align_divs_to_basic_map(
 285         __isl_take isl_basic_map_list *list, __isl_keep isl_basic_map *bmap);
 286 __isl_give isl_basic_set *isl_basic_set_sort_divs(
 287         __isl_take isl_basic_set *bset);
 288 __isl_give isl_basic_map *isl_basic_map_sort_divs(
 289         __isl_take isl_basic_map *bmap);
 290 __isl_give isl_map *isl_map_sort_divs(__isl_take isl_map *map);
 291 struct isl_basic_map *isl_basic_map_gauss(
 292         struct isl_basic_map *bmap, int *progress);
 293 struct isl_basic_set *isl_basic_set_gauss(
 294         struct isl_basic_set *bset, int *progress);
 295 int isl_basic_map_constraint_cmp(__isl_keep isl_basic_map *bmap,
 296         isl_int *c1, isl_int *c2);
 297 __isl_give isl_basic_map *isl_basic_map_sort_constraints(
 298         __isl_take isl_basic_map *bmap);
 299 __isl_give isl_basic_set *isl_basic_set_sort_constraints(
 300         __isl_take isl_basic_set *bset);
 301 int isl_basic_map_plain_cmp(const __isl_keep isl_basic_map *bmap1,
 302         const __isl_keep isl_basic_map *bmap2);
 303 isl_bool isl_basic_map_plain_is_equal(__isl_keep isl_basic_map *bmap1,
 304         __isl_keep isl_basic_map *bmap2);
 305 struct isl_basic_map *isl_basic_map_normalize_constraints(
 306         struct isl_basic_map *bmap);
 307 struct isl_basic_set *isl_basic_set_normalize_constraints(
 308         struct isl_basic_set *bset);
 309 struct isl_basic_map *isl_basic_map_implicit_equalities(
 310                                                 struct isl_basic_map *bmap);
 311 struct isl_basic_set *isl_basic_map_underlying_set(struct isl_basic_map *bmap);
 312 __isl_give isl_basic_set *isl_basic_set_underlying_set(
 313                 __isl_take isl_basic_set *bset);
 314 __isl_give isl_basic_set_list *isl_basic_map_list_underlying_set(
 315         __isl_take isl_basic_map_list *list);
 316 struct isl_set *isl_map_underlying_set(struct isl_map *map);
 317 struct isl_basic_map *isl_basic_map_overlying_set(struct isl_basic_set *bset,
 318         struct isl_basic_map *like);
 319 __isl_give isl_basic_map *isl_basic_map_drop_constraint_involving_unknown_divs(
 320         __isl_take isl_basic_map *bmap);
 321 __isl_give isl_map *isl_map_drop_constraint_involving_unknown_divs(
 322         __isl_take isl_map *map);
 323 __isl_give isl_basic_set *isl_basic_set_drop_constraints_involving(
 324         __isl_take isl_basic_set *bset, unsigned first, unsigned n);
 325 __isl_give isl_basic_set *isl_basic_set_drop(__isl_take isl_basic_set *bset,
 326         enum isl_dim_type type, unsigned first, unsigned n);
 327 struct isl_basic_map *isl_basic_map_drop(struct isl_basic_map *bmap,
 328         enum isl_dim_type type, unsigned first, unsigned n);
 329 struct isl_set *isl_set_drop(struct isl_set *set,
 330         enum isl_dim_type type, unsigned first, unsigned n);
 331 struct isl_basic_set *isl_basic_set_drop_dims(
 332                 struct isl_basic_set *bset, unsigned first, unsigned n);
 333 struct isl_set *isl_set_drop_dims(
 334                 struct isl_set *set, unsigned first, unsigned n);
 335 struct isl_map *isl_map_drop_inputs(
 336                 struct isl_map *map, unsigned first, unsigned n);
 337 struct isl_map *isl_map_drop(struct isl_map *map,
 338         enum isl_dim_type type, unsigned first, unsigned n);
 339 __isl_give isl_basic_map *isl_basic_map_drop_unrelated_constraints(
 340         __isl_take isl_basic_map *bmap, __isl_take int *group);
 341
 342 __isl_give isl_basic_map *isl_basic_map_remove_duplicate_constraints(
 343         __isl_take isl_basic_map *bmap, int *progress, int detect_divs);
 344 __isl_give isl_basic_map *isl_basic_map_detect_inequality_pairs(
 345         __isl_take isl_basic_map *bmap, int *progress);
 346
 347 struct isl_map *isl_map_remove_empty_parts(struct isl_map *map);
 348 struct isl_set *isl_set_remove_empty_parts(struct isl_set *set);
 349 __isl_give isl_map *isl_map_remove_obvious_duplicates(__isl_take isl_map *map);
 350
 351 struct isl_set *isl_set_normalize(struct isl_set *set);
 352
 353 struct isl_set *isl_set_drop_vars(
 354                 struct isl_set *set, unsigned first, unsigned n);
 355
 356 struct isl_basic_map *isl_basic_map_eliminate_vars(
 357         struct isl_basic_map *bmap, unsigned pos, unsigned n);
 358 struct isl_basic_set *isl_basic_set_eliminate_vars(
 359         struct isl_basic_set *bset, unsigned pos, unsigned n);
 360
 361 __isl_give isl_map *isl_map_eliminate(__isl_take isl_map *map,
 362         enum isl_dim_type type, unsigned first, unsigned n);
 363 __isl_give isl_set *isl_set_eliminate(__isl_take isl_set *set,
 364         enum isl_dim_type type, unsigned first, unsigned n);
 365
 366 int isl_basic_set_constraint_is_redundant(struct isl_basic_set **bset,
 367         isl_int *c, isl_int *opt_n, isl_int *opt_d);
 368
 369 int isl_basic_map_add_div_constraint(__isl_keep isl_basic_map *bmap,
 370         unsigned div, int sign);
 371 int isl_basic_map_add_div_constraints(struct isl_basic_map *bmap, unsigned div);
 372 __isl_give isl_basic_map *isl_basic_map_add_known_div_constraints(
 373         __isl_take isl_basic_map *bmap);
 374 struct isl_basic_map *isl_basic_map_drop_redundant_divs(
 375         struct isl_basic_map *bmap);
 376 struct isl_basic_set *isl_basic_set_drop_redundant_divs(
 377         struct isl_basic_set *bset);
 378
 379 struct isl_basic_set *isl_basic_set_recession_cone(struct isl_basic_set *bset);
 380 struct isl_basic_set *isl_basic_set_lineality_space(struct isl_basic_set *bset);
 381
 382 struct isl_basic_set *isl_basic_set_set_rational(struct isl_basic_set *bset);
 383 __isl_give isl_set *isl_set_set_rational(__isl_take isl_set *set);
 384 __isl_give isl_basic_map *isl_basic_map_set_rational(
 385         __isl_take isl_basic_map *bmap);
 386 __isl_give isl_map *isl_map_set_rational(__isl_take isl_map *map);
 387
 388 isl_bool isl_map_is_rational(__isl_keep isl_map *map);
 389 isl_bool isl_set_is_rational(__isl_keep isl_set *set);
 390
 391 int isl_map_has_rational(__isl_keep isl_map *map);
 392 int isl_set_has_rational(__isl_keep isl_set *set);
 393
 394 __isl_give isl_basic_map *isl_basic_map_from_multi_aff2(
 395         __isl_take isl_multi_aff *maff, int rational);
 396
 397 struct isl_mat;
 398
 399 struct isl_basic_set *isl_basic_set_preimage(struct isl_basic_set *bset,
 400         struct isl_mat *mat);
 401 struct isl_set *isl_set_preimage(struct isl_set *set, struct isl_mat *mat);
 402
 403 __isl_give isl_basic_map *isl_basic_map_transform_dims(
 404         __isl_take isl_basic_map *bmap, enum isl_dim_type type, unsigned first,
 405         __isl_take isl_mat *trans);
 406 __isl_give isl_basic_set *isl_basic_set_transform_dims(
 407         __isl_take isl_basic_set *bset, enum isl_dim_type type, unsigned first,
 408         __isl_take isl_mat *trans);
 409
 410 isl_int *isl_set_wrap_facet(__isl_keep isl_set *set,
 411         isl_int *facet, isl_int *ridge);
 412
 413 isl_bool isl_basic_map_contains_point(__isl_keep isl_basic_map *bmap,
 414         __isl_keep isl_point *point);
 415 isl_bool isl_set_contains_point(__isl_keep isl_set *set,
 416         __isl_keep isl_point *point);
 417
 418 int isl_basic_set_vars_get_sign(__isl_keep isl_basic_set *bset,
 419         unsigned first, unsigned n, int *signs);
 420 int isl_set_foreach_orthant(__isl_keep isl_set *set,
 421         int (*fn)(__isl_take isl_set *orthant, int *signs, void *user),
 422         void *user);
 423
 424 int isl_basic_map_add_div_constraints_var(__isl_keep isl_basic_map *bmap,
 425         unsigned pos, isl_int *div);
 426 int isl_basic_set_add_div_constraints_var(__isl_keep isl_basic_set *bset,
 427         unsigned pos, isl_int *div);
 428 int isl_basic_map_is_div_constraint(__isl_keep isl_basic_map *bmap,
 429         isl_int *constraint, unsigned div);
 430 int isl_basic_set_is_div_constraint(__isl_keep isl_basic_set *bset,
 431         isl_int *constraint, unsigned div);
 432
 433 __isl_give isl_basic_set *isl_basic_set_from_local_space(
 434         __isl_take isl_local_space *ls);
 435 __isl_give isl_basic_map *isl_basic_map_from_local_space(
 436         __isl_take isl_local_space *ls);
 437 __isl_give isl_basic_set *isl_basic_set_expand_divs(
 438         __isl_take isl_basic_set *bset, __isl_take isl_mat *div, int *exp);
 439 __isl_give isl_basic_map *isl_basic_map_expand_divs(
 440         __isl_take isl_basic_set *bmap, __isl_take isl_mat *div, int *exp);
 441
 442 __isl_give isl_basic_map *isl_basic_map_mark_div_unknown(
 443         __isl_take isl_basic_map *bmap, int div);
 444 isl_bool isl_basic_map_div_is_marked_unknown(__isl_keep isl_basic_map *bmap,
 445         int div);
 446 isl_bool isl_basic_set_div_is_known(__isl_keep isl_basic_set *bset, int div);
 447 isl_bool isl_basic_map_div_is_known(__isl_keep isl_basic_map *bmap, int div);
 448 int isl_basic_set_first_unknown_div(__isl_keep isl_basic_set *bset);
 449 int isl_basic_map_first_unknown_div(__isl_keep isl_basic_map *bmap);
 450 isl_bool isl_basic_map_divs_known(__isl_keep isl_basic_map *bmap);
 451 isl_bool isl_map_divs_known(__isl_keep isl_map *map);
 452 __isl_give isl_mat *isl_basic_set_get_divs(__isl_keep isl_basic_set *bset);
 453 __isl_give isl_mat *isl_basic_map_get_divs(__isl_keep isl_basic_map *bmap);
 454
 455 __isl_give isl_map *isl_map_inline_foreach_basic_map(__isl_take isl_map *map,
 456         __isl_give isl_basic_map *(*fn)(__isl_take isl_basic_map *bmap));
 457
 458 __isl_give isl_map *isl_map_align_params_map_map_and(
 459         __isl_take isl_map *map1, __isl_take isl_map *map2,
 460         __isl_give isl_map *(*fn)(__isl_take isl_map *map1,
 461                                     __isl_take isl_map *map2));
 462 isl_bool isl_map_align_params_map_map_and_test(__isl_keep isl_map *map1,
 463         __isl_keep isl_map *map2,
 464         isl_bool (*fn)(__isl_keep isl_map *map1, __isl_keep isl_map *map2));
 465
 466 int isl_basic_map_foreach_lexopt(__isl_keep isl_basic_map *bmap, int max,
 467         int (*fn)(__isl_take isl_basic_set *dom, __isl_take isl_aff_list *list,
 468                   void *user),
 469         void *user);
 470 int isl_basic_set_foreach_lexopt(__isl_keep isl_basic_set *bset, int max,
 471         int (*fn)(__isl_take isl_basic_set *dom, __isl_take isl_aff_list *list,
 472                   void *user),
 473         void *user);
 474
 475 __isl_give isl_set *isl_set_substitute(__isl_take isl_set *set,
 476         enum isl_dim_type type, unsigned pos, __isl_keep isl_aff *subs);
 477
 478 __isl_give isl_set *isl_set_gist_params_basic_set(__isl_take isl_set *set,
 479         __isl_take isl_basic_set *context);
 480
 481 int isl_map_compatible_range(__isl_keep isl_map *map, __isl_keep isl_set *set);
 482
 483 isl_bool isl_basic_map_plain_is_non_empty(__isl_keep isl_basic_map *bmap);
 484 isl_bool isl_basic_map_plain_is_single_valued(__isl_keep isl_basic_map *bmap);
 485
 486 int isl_map_is_set(__isl_keep isl_map *map);
 487
 488 int isl_basic_set_plain_dim_is_fixed(__isl_keep isl_basic_set *bset,
 489         unsigned dim, isl_int *val);
 490
 491 __isl_give isl_map *isl_map_plain_gist_basic_map(__isl_take isl_map *map,
 492         __isl_take isl_basic_map *context);
 493
 494 __isl_give isl_basic_set *isl_basic_set_plain_affine_hull(
 495         __isl_take isl_basic_set *bset);
 496 __isl_give isl_basic_map *isl_basic_map_plain_affine_hull(
 497         __isl_take isl_basic_map *bmap);
 498
 499 int isl_basic_set_dim_residue_class(struct isl_basic_set *bset,
 500         int pos, isl_int *modulo, isl_int *residue);
 501 int isl_set_dim_residue_class(struct isl_set *set,
 502         int pos, isl_int *modulo, isl_int *residue);
 503
 504 __isl_give isl_basic_set *isl_basic_set_fix(__isl_take isl_basic_set *bset,
 505         enum isl_dim_type type, unsigned pos, isl_int value);
 506 __isl_give isl_basic_map *isl_basic_map_fix(__isl_take isl_basic_map *bmap,
 507         enum isl_dim_type type, unsigned pos, isl_int value);
 508 __isl_give isl_set *isl_set_fix(__isl_take isl_set *set,
 509         enum isl_dim_type type, unsigned pos, isl_int value);
 510 int isl_map_plain_is_fixed(__isl_keep isl_map *map,
 511         enum isl_dim_type type, unsigned pos, isl_int *val);
 512
 513 int isl_basic_map_output_defining_equality(__isl_keep isl_basic_map *bmap,
 514         int pos, int *div, int *ineq);
 515
 516 __isl_give isl_basic_map *isl_basic_map_reduce_coefficients(
 517         __isl_take isl_basic_map *bmap);
 518
 519 __isl_give isl_basic_map *isl_basic_map_shift_div(
 520         __isl_take isl_basic_map *bmap, int div, int pos, isl_int shift);
 521
 522 __isl_give isl_basic_map_list *isl_map_get_basic_map_list(
 523         __isl_keep isl_map *map);
 524
 525 __isl_give isl_map *isl_map_fixed_power(__isl_take isl_map *map, isl_int exp);
 526
 527 int isl_basic_set_count_upto(__isl_keep isl_basic_set *bset,
 528         isl_int max, isl_int *count);
 529 int isl_set_count_upto(__isl_keep isl_set *set, isl_int max, isl_int *count);
 530
 531 isl_bool isl_basic_map_equal_div_expr_part(__isl_keep isl_basic_map *bmap1,
 532         int pos1, __isl_keep isl_basic_map *bmap2, int pos2,
 533         unsigned first, unsigned n);
 534 isl_bool isl_basic_map_equal_div_expr_except_constant(
 535         __isl_keep isl_basic_map *bmap1, int pos1,
 536         __isl_keep isl_basic_map *bmap2, int pos2);
 537 __isl_give isl_basic_map *isl_basic_map_set_div_expr_constant_num_si_inplace(
 538         __isl_take isl_basic_map *bmap, int div, int value);
 539
 540 #endif