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 #include <isl_maybe_aff.h>
  26
  27 /* A "basic map" is a relation between two sets of variables,
  28  * called the "in" and "out" variables.
  29  * A "basic set" is a basic map with a zero-dimensional
  30  * domain.
  31  *
  32  * It is implemented as a set with two extra fields:
  33  * n_in is the number of in variables
  34  * n_out is the number of out variables
  35  * n_in + n_out should be equal to set.dim
  36  */
  37 struct isl_basic_map {
  38         int ref;
  39 #define ISL_BASIC_MAP_FINAL             (1 << 0)
  40 #define ISL_BASIC_MAP_EMPTY             (1 << 1)
  41 #define ISL_BASIC_MAP_NO_IMPLICIT       (1 << 2)
  42 #define ISL_BASIC_MAP_NO_REDUNDANT      (1 << 3)
  43 #define ISL_BASIC_MAP_RATIONAL          (1 << 4)
  44 #define ISL_BASIC_MAP_SORTED            (1 << 5)
  45 #define ISL_BASIC_MAP_NORMALIZED_DIVS   (1 << 6)
  46 #define ISL_BASIC_MAP_ALL_EQUALITIES    (1 << 7)
  47 #define ISL_BASIC_MAP_REDUCED_COEFFICIENTS      (1 << 8)
  48 #define ISL_BASIC_SET_FINAL             (1 << 0)
  49 #define ISL_BASIC_SET_EMPTY             (1 << 1)
  50 #define ISL_BASIC_SET_NO_IMPLICIT       (1 << 2)
  51 #define ISL_BASIC_SET_NO_REDUNDANT      (1 << 3)
  52 #define ISL_BASIC_SET_RATIONAL          (1 << 4)
  53 #define ISL_BASIC_SET_SORTED            (1 << 5)
  54 #define ISL_BASIC_SET_NORMALIZED_DIVS   (1 << 6)
  55 #define ISL_BASIC_SET_ALL_EQUALITIES    (1 << 7)
  56 #define ISL_BASIC_SET_REDUCED_COEFFICIENTS      (1 << 8)
  57         unsigned flags;
  58
  59         struct isl_ctx *ctx;
  60
  61         isl_space *dim;
  62         unsigned extra;
  63
  64         unsigned n_eq;
  65         unsigned n_ineq;
  66
  67         size_t c_size;
  68         isl_int **eq;
  69         isl_int **ineq;
  70
  71         unsigned n_div;
  72
  73         isl_int **div;
  74
  75         struct isl_vec *sample;
  76
  77         struct isl_blk block;
  78         struct isl_blk block2;
  79 };
  80
  81 #undef EL
  82 #define EL isl_basic_set
  83
  84 #include <isl_list_templ.h>
  85
  86 /* A "map" is a (possibly disjoint) union of basic maps.
  87  * A "set" is a (possibly disjoint) union of basic sets.
  88  *
  89  * Currently, the isl_set structure is identical to the isl_map structure
  90  * and the library depends on this correspondence internally.
  91  * However, users should not depend on this correspondence.
  92  *
  93  * "cached_simple_hull" contains copies of the unshifted and shifted
  94  * simple hulls, if they have already been computed.  Otherwise,
  95  * the entries are NULL.
  96  */
  97 struct isl_map {
  98         int ref;
  99 #define ISL_MAP_DISJOINT                (1 << 0)
 100 #define ISL_MAP_NORMALIZED              (1 << 1)
 101 #define ISL_SET_DISJOINT                (1 << 0)
 102 #define ISL_SET_NORMALIZED              (1 << 1)
 103         unsigned flags;
 104         isl_basic_map *cached_simple_hull[2];
 105
 106         struct isl_ctx *ctx;
 107
 108         isl_space *dim;
 109
 110         int n;
 111
 112         size_t size;
 113         struct isl_basic_map *p[1];
 114 };
 115
 116 #undef EL
 117 #define EL isl_set
 118
 119 #include <isl_list_templ.h>
 120
 121 __isl_give isl_basic_set *isl_basic_set_alloc(isl_ctx *ctx,
 122         unsigned nparam, unsigned dim, unsigned extra,
 123         unsigned n_eq, unsigned n_ineq);
 124 __isl_give isl_basic_set *isl_basic_set_extend_constraints(
 125         __isl_take isl_basic_set *base, unsigned n_eq, unsigned n_ineq);
 126 __isl_give isl_basic_set *isl_basic_set_finalize(
 127         __isl_take isl_basic_set *bset);
 128 __isl_give isl_basic_set *isl_basic_set_dup(__isl_keep isl_basic_set *bset);
 129 __isl_give isl_basic_set *isl_basic_set_simplify(
 130         __isl_take isl_basic_set *bset);
 131
 132 __isl_give isl_basic_map *isl_basic_map_alloc(isl_ctx *ctx,
 133         unsigned nparam, unsigned in, unsigned out, unsigned extra,
 134         unsigned n_eq, unsigned n_ineq);
 135 __isl_give isl_basic_map *isl_basic_map_mark_final(
 136         __isl_take isl_basic_map *bmap);
 137 __isl_give isl_basic_map *isl_basic_map_finalize(
 138         __isl_take isl_basic_map *bmap);
 139 __isl_give isl_basic_map *isl_basic_map_extend_constraints(
 140         __isl_take isl_basic_map *base, unsigned n_eq, unsigned n_ineq);
 141 __isl_give isl_basic_map *isl_basic_map_simplify(
 142         __isl_take isl_basic_map *bmap);
 143
 144 __isl_give isl_set *isl_set_add_basic_set(__isl_take isl_set *set,
 145         __isl_take isl_basic_set *bset);
 146
 147 __isl_give isl_map *isl_map_add_basic_map(__isl_take isl_map *map,
 148         __isl_take isl_basic_map *bmap);
 149 __isl_give isl_map *isl_map_dup(__isl_keep isl_map *map);
 150
 151 __isl_give isl_basic_set *isl_basic_set_from_underlying_set(
 152         __isl_take isl_basic_set *bset, __isl_take isl_basic_set *like);
 153
 154 __isl_give isl_map *isl_map_realign(__isl_take isl_map *map,
 155         __isl_take isl_reordering *r);
 156 __isl_give isl_set *isl_set_realign(__isl_take isl_set *set,
 157         __isl_take isl_reordering *r);
 158
 159 __isl_give isl_basic_map *isl_basic_map_reset(__isl_take isl_basic_map *bmap,
 160         enum isl_dim_type type);
 161 __isl_give isl_map *isl_map_reset(__isl_take isl_map *map,
 162         enum isl_dim_type type);
 163
 164 __isl_keep isl_space *isl_basic_map_peek_space(
 165         __isl_keep const isl_basic_map *bmap);
 166 __isl_keep isl_space *isl_basic_set_peek_space(__isl_keep isl_basic_set *bset);
 167 __isl_keep isl_space *isl_map_peek_space(__isl_keep const isl_map *map);
 168 __isl_keep isl_space *isl_set_peek_space(__isl_keep isl_set *set);
 169
 170 __isl_give isl_basic_set *isl_basic_set_reset_space(
 171         __isl_take isl_basic_set *bset, __isl_take isl_space *space);
 172 __isl_give isl_basic_map *isl_basic_map_reset_space(
 173         __isl_take isl_basic_map *bmap, __isl_take isl_space *space);
 174 __isl_give isl_map *isl_map_reset_space(__isl_take isl_map *map,
 175         __isl_take isl_space *space);
 176 __isl_give isl_map *isl_map_reset_equal_dim_space(__isl_take isl_map *map,
 177         __isl_take isl_space *space);
 178
 179 isl_size isl_basic_map_var_offset(__isl_keep isl_basic_map *bmap,
 180         enum isl_dim_type type);
 181 isl_size isl_basic_set_var_offset(__isl_keep isl_basic_set *bset,
 182         enum isl_dim_type type);
 183 unsigned isl_basic_map_offset(__isl_keep isl_basic_map *bmap,
 184                                         enum isl_dim_type type);
 185 unsigned isl_basic_set_offset(__isl_keep isl_basic_set *bset,
 186                                         enum isl_dim_type type);
 187
 188 isl_bool isl_basic_map_may_be_set(__isl_keep isl_basic_map *bmap);
 189 int isl_map_may_be_set(__isl_keep isl_map *map);
 190 isl_bool isl_map_compatible_domain(__isl_keep isl_map *map,
 191         __isl_keep 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 isl_bool isl_basic_map_compatible_range(__isl_keep isl_basic_map *bmap,
 195         __isl_keep isl_basic_set *bset);
 196
 197 __isl_give isl_basic_map *isl_basic_map_extend(__isl_take isl_basic_map *base,
 198         unsigned extra, unsigned n_eq, unsigned n_ineq);
 199 __isl_give isl_basic_set *isl_basic_set_extend(__isl_take isl_basic_set *base,
 200         unsigned extra, unsigned n_eq, unsigned n_ineq);
 201
 202 __isl_give isl_map *isl_map_grow(__isl_take isl_map *map, int n);
 203 __isl_give isl_set *isl_set_grow(__isl_take isl_set *set, int n);
 204
 205 isl_bool isl_basic_set_contains(__isl_keep isl_basic_set *bset,
 206         __isl_keep isl_vec *vec);
 207 isl_bool isl_basic_map_contains(__isl_keep isl_basic_map *bmap,
 208         __isl_keep isl_vec *vec);
 209
 210 __isl_give isl_basic_set *isl_basic_set_alloc_space(__isl_take isl_space *space,
 211                 unsigned extra, unsigned n_eq, unsigned n_ineq);
 212 __isl_give isl_set *isl_set_alloc_space(__isl_take isl_space *space, int n,
 213         unsigned flags);
 214 __isl_give isl_basic_map *isl_basic_map_alloc_space(__isl_take isl_space *space,
 215                 unsigned extra, unsigned n_eq, unsigned n_ineq);
 216 __isl_give isl_map *isl_map_alloc_space(__isl_take isl_space *space, int n,
 217         unsigned flags);
 218
 219 int isl_basic_map_alloc_equality(__isl_keep isl_basic_map *bmap);
 220 int isl_basic_set_alloc_equality(__isl_keep isl_basic_set *bset);
 221 __isl_give isl_basic_set *isl_basic_set_free_inequality(
 222         __isl_take isl_basic_set *bset, unsigned n);
 223 __isl_give isl_basic_map *isl_basic_map_free_equality(
 224         __isl_take isl_basic_map *bmap, unsigned n);
 225 __isl_give isl_basic_set *isl_basic_set_free_equality(
 226         __isl_take isl_basic_set *bset, unsigned n);
 227 int isl_basic_set_alloc_inequality(__isl_keep isl_basic_set *bset);
 228 int isl_basic_map_alloc_inequality(__isl_keep isl_basic_map *bmap);
 229 __isl_give isl_basic_map *isl_basic_map_free_inequality(
 230         __isl_take isl_basic_map *bmap, unsigned n);
 231 int isl_basic_map_alloc_div(__isl_keep isl_basic_map *bmap);
 232 __isl_give isl_basic_map *isl_basic_map_insert_div(
 233         __isl_take isl_basic_map *bmap, int pos, __isl_keep isl_vec *div);
 234 __isl_give isl_basic_set *isl_basic_set_insert_div(
 235         __isl_take isl_basic_set *bset, int pos, __isl_keep isl_vec *div);
 236 int isl_basic_set_alloc_div(__isl_keep isl_basic_set *bset);
 237 isl_stat isl_basic_map_free_div(__isl_keep isl_basic_map *bmap, unsigned n);
 238 __isl_give isl_basic_map *isl_basic_map_drop_div(
 239         __isl_take isl_basic_map *bmap, unsigned div);
 240 void isl_basic_map_inequality_to_equality(
 241                 __isl_keep isl_basic_map *bmap, unsigned pos);
 242 int isl_basic_map_drop_equality(__isl_keep isl_basic_map *bmap, unsigned pos);
 243 int isl_basic_set_drop_inequality(__isl_keep isl_basic_set *bset, unsigned pos);
 244 int isl_basic_map_drop_inequality(__isl_keep isl_basic_map *bmap, unsigned pos);
 245 __isl_give isl_basic_set *isl_basic_set_add_eq(__isl_take isl_basic_set *bset,
 246         isl_int *eq);
 247 __isl_give isl_basic_map *isl_basic_map_add_eq(__isl_take isl_basic_map *bmap,
 248         isl_int *eq);
 249 __isl_give isl_basic_set *isl_basic_set_add_ineq(__isl_take isl_basic_set *bset,
 250         isl_int *ineq);
 251 __isl_give isl_basic_map *isl_basic_map_add_ineq(__isl_take isl_basic_map *bmap,
 252         isl_int *ineq);
 253
 254 __isl_give isl_basic_set *isl_basic_set_tighten_outward(
 255         __isl_take isl_basic_set *bset, __isl_keep isl_vec *vec);
 256
 257 __isl_give isl_basic_map *isl_inequality_negate(__isl_take isl_basic_map *bmap,
 258         unsigned pos);
 259
 260 isl_bool isl_basic_map_has_single_reference(__isl_keep isl_basic_map *bmap);
 261 __isl_give isl_basic_set *isl_basic_set_cow(__isl_take isl_basic_set *bset);
 262 __isl_give isl_basic_map *isl_basic_map_cow(__isl_take isl_basic_map *bmap);
 263 __isl_give isl_set *isl_set_cow(__isl_take isl_set *set);
 264 __isl_give isl_map *isl_map_cow(__isl_take 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 __isl_give isl_basic_map *isl_basic_map_set_to_empty(
 272         __isl_take isl_basic_map *bmap);
 273 __isl_give isl_basic_set *isl_basic_set_set_to_empty(
 274         __isl_take isl_basic_set *bset);
 275 __isl_give isl_basic_map *isl_basic_map_swap_div(__isl_take isl_basic_map *bmap,
 276         int a, int b);
 277 __isl_give isl_basic_map *isl_basic_map_order_divs(
 278         __isl_take isl_basic_map *bmap);
 279 __isl_give isl_map *isl_map_order_divs(__isl_take isl_map *map);
 280 __isl_give isl_basic_map *isl_basic_map_align_divs(
 281         __isl_take isl_basic_map *dst, __isl_keep isl_basic_map *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_map *isl_map_align_divs_internal(__isl_take isl_map *map);
 287 __isl_give isl_basic_set *isl_basic_set_sort_divs(
 288         __isl_take isl_basic_set *bset);
 289 __isl_give isl_basic_map *isl_basic_map_sort_divs(
 290         __isl_take isl_basic_map *bmap);
 291 __isl_give isl_map *isl_map_sort_divs(__isl_take isl_map *map);
 292 __isl_give isl_basic_map *isl_basic_map_gauss5(__isl_take isl_basic_map *bmap,
 293         int *progress,
 294         isl_stat (*swap)(unsigned a, unsigned b, void *user),
 295         isl_stat (*drop)(unsigned n, void *user), void *user);
 296 __isl_give isl_basic_map *isl_basic_map_gauss(__isl_take isl_basic_map *bmap,
 297         int *progress);
 298 __isl_give isl_basic_set *isl_basic_set_gauss(
 299         __isl_take isl_basic_set *bset, int *progress);
 300 int isl_basic_map_constraint_cmp(__isl_keep isl_basic_map *bmap,
 301         isl_int *c1, isl_int *c2);
 302 __isl_give isl_basic_map *isl_basic_map_sort_constraints(
 303         __isl_take isl_basic_map *bmap);
 304 __isl_give isl_basic_set *isl_basic_set_sort_constraints(
 305         __isl_take isl_basic_set *bset);
 306 int isl_basic_map_plain_cmp(__isl_keep isl_basic_map *bmap1,
 307         __isl_keep isl_basic_map *bmap2);
 308 isl_bool isl_basic_map_plain_is_equal(__isl_keep isl_basic_map *bmap1,
 309         __isl_keep isl_basic_map *bmap2);
 310 __isl_give isl_basic_map *isl_basic_map_normalize_constraints(
 311         __isl_take isl_basic_map *bmap);
 312 __isl_give isl_basic_set *isl_basic_set_normalize_constraints(
 313         __isl_take isl_basic_set *bset);
 314 __isl_give isl_basic_map *isl_basic_map_implicit_equalities(
 315         __isl_take isl_basic_map *bmap);
 316 __isl_give isl_basic_set *isl_basic_map_underlying_set(
 317         __isl_take isl_basic_map *bmap);
 318 __isl_give isl_basic_set *isl_basic_set_underlying_set(
 319                 __isl_take isl_basic_set *bset);
 320 __isl_give isl_basic_set_list *isl_basic_map_list_underlying_set(
 321         __isl_take isl_basic_map_list *list);
 322 __isl_give isl_set *isl_map_underlying_set(__isl_take isl_map *map);
 323 __isl_give isl_basic_map *isl_basic_map_overlying_set(
 324         __isl_take isl_basic_set *bset, __isl_take isl_basic_map *like);
 325 __isl_give isl_basic_set *isl_basic_set_drop_constraints_involving_unknown_divs(
 326         __isl_take isl_basic_set *bset);
 327 __isl_give isl_basic_map *isl_basic_map_drop_constraints_involving_unknown_divs(
 328         __isl_take isl_basic_map *bmap);
 329 __isl_give isl_map *isl_map_drop_constraints_involving_unknown_divs(
 330         __isl_take isl_map *map);
 331 __isl_give isl_basic_map *isl_basic_map_drop_constraints_involving(
 332         __isl_take isl_basic_map *bmap, unsigned first, unsigned n);
 333 __isl_give isl_basic_set *isl_basic_set_drop_constraints_involving(
 334         __isl_take isl_basic_set *bset, unsigned first, unsigned n);
 335 __isl_give isl_basic_set *isl_basic_set_drop(__isl_take isl_basic_set *bset,
 336         enum isl_dim_type type, unsigned first, unsigned n);
 337 __isl_give isl_basic_map *isl_basic_map_drop(__isl_take isl_basic_map *bmap,
 338         enum isl_dim_type type, unsigned first, unsigned n);
 339 __isl_give isl_set *isl_set_drop(__isl_take isl_set *set,
 340         enum isl_dim_type type, unsigned first, unsigned n);
 341 __isl_give isl_basic_set *isl_basic_set_drop_dims(
 342         __isl_take isl_basic_set *bset, unsigned first, unsigned n);
 343 __isl_give isl_map *isl_map_drop(__isl_take isl_map *map,
 344         enum isl_dim_type type, unsigned first, unsigned n);
 345 __isl_give isl_basic_map *isl_basic_map_drop_unrelated_constraints(
 346         __isl_take isl_basic_map *bmap, __isl_take int *group);
 347
 348 __isl_give isl_basic_map *isl_basic_map_remove_unknown_divs(
 349         __isl_take isl_basic_map *bmap);
 350
 351 __isl_give isl_basic_map *isl_basic_map_eliminate_pure_unit_divs(
 352         __isl_take isl_basic_map *bmap);
 353 __isl_give isl_basic_map *isl_basic_map_remove_duplicate_constraints(
 354         __isl_take isl_basic_map *bmap, int *progress, int detect_divs);
 355 __isl_give isl_basic_map *isl_basic_map_detect_inequality_pairs(
 356         __isl_take isl_basic_map *bmap, int *progress);
 357
 358 __isl_give isl_map *isl_map_remove_empty_parts(__isl_take isl_map *map);
 359 __isl_give isl_set *isl_set_remove_empty_parts(__isl_take isl_set *set);
 360 __isl_give isl_map *isl_map_remove_obvious_duplicates(__isl_take isl_map *map);
 361
 362 __isl_give isl_set *isl_set_normalize(__isl_take isl_set *set);
 363
 364 __isl_give isl_basic_map *isl_basic_map_eliminate_vars(
 365         __isl_take isl_basic_map *bmap, unsigned pos, unsigned n);
 366 __isl_give isl_basic_set *isl_basic_set_eliminate_vars(
 367         __isl_take isl_basic_set *bset, unsigned pos, unsigned n);
 368
 369 __isl_give isl_map *isl_map_eliminate(__isl_take isl_map *map,
 370         enum isl_dim_type type, unsigned first, unsigned n);
 371 __isl_give isl_set *isl_set_eliminate(__isl_take isl_set *set,
 372         enum isl_dim_type type, unsigned first, unsigned n);
 373 __isl_give isl_map *isl_map_project_onto(__isl_take isl_map *map,
 374         enum isl_dim_type type, unsigned first, unsigned n);
 375
 376 __isl_give isl_basic_map *isl_basic_map_add_div_constraint(
 377         __isl_take isl_basic_map *bmap, unsigned div, int sign);
 378 __isl_give isl_basic_map *isl_basic_map_add_div_constraints(
 379         __isl_take isl_basic_map *bmap, unsigned div);
 380 __isl_give isl_basic_set *isl_basic_set_add_div_constraints(
 381         __isl_take isl_basic_set *bset, unsigned pos);
 382 __isl_give isl_basic_map *isl_basic_map_add_known_div_constraints(
 383         __isl_take isl_basic_map *bmap);
 384 __isl_give isl_basic_map *isl_basic_map_drop_redundant_divs(
 385         __isl_take isl_basic_map *bmap);
 386
 387 __isl_give isl_basic_set *isl_basic_set_recession_cone(
 388         __isl_take isl_basic_set *bset);
 389 __isl_give isl_basic_set *isl_basic_set_lineality_space(
 390         __isl_take isl_basic_set *bset);
 391 __isl_give isl_basic_set *isl_set_combined_lineality_space(
 392         __isl_take isl_set *set);
 393
 394 __isl_give isl_basic_set *isl_basic_set_set_integral(
 395         __isl_take isl_basic_set *bset);
 396 __isl_give isl_basic_set *isl_basic_set_set_rational(
 397         __isl_take isl_basic_set *bset);
 398 __isl_give isl_set *isl_set_set_rational(__isl_take isl_set *set);
 399 __isl_give isl_basic_map *isl_basic_map_set_rational(
 400         __isl_take isl_basic_map *bmap);
 401 __isl_give isl_map *isl_map_set_rational(__isl_take isl_map *map);
 402
 403 isl_bool isl_map_is_rational(__isl_keep isl_map *map);
 404 isl_bool isl_set_is_rational(__isl_keep isl_set *set);
 405
 406 isl_bool isl_map_has_rational(__isl_keep isl_map *map);
 407 isl_bool isl_set_has_rational(__isl_keep isl_set *set);
 408
 409 __isl_give isl_basic_map *isl_basic_map_from_multi_aff2(
 410         __isl_take isl_multi_aff *maff, int rational);
 411 __isl_give isl_map *isl_map_from_multi_aff_internal(
 412         __isl_take isl_multi_aff *ma);
 413 __isl_give isl_map *isl_map_from_pw_aff_internal(__isl_take isl_pw_aff *pa);
 414 __isl_give isl_map *isl_map_from_pw_multi_aff_internal(
 415         __isl_take isl_pw_multi_aff *pma);
 416
 417 struct isl_mat;
 418
 419 __isl_give isl_basic_set *isl_basic_set_preimage(
 420         __isl_take isl_basic_set *bset, __isl_take isl_mat *mat);
 421 __isl_give isl_set *isl_set_preimage(
 422         __isl_take isl_set *set, __isl_take isl_mat *mat);
 423
 424 __isl_give isl_basic_map *isl_basic_map_transform_dims(
 425         __isl_take isl_basic_map *bmap, enum isl_dim_type type, unsigned first,
 426         __isl_take isl_mat *trans);
 427 __isl_give isl_basic_set *isl_basic_set_transform_dims(
 428         __isl_take isl_basic_set *bset, enum isl_dim_type type, unsigned first,
 429         __isl_take isl_mat *trans);
 430
 431 isl_int *isl_set_wrap_facet(__isl_keep isl_set *set,
 432         isl_int *facet, isl_int *ridge);
 433
 434 isl_bool isl_basic_map_contains_point(__isl_keep isl_basic_map *bmap,
 435         __isl_keep isl_point *point);
 436 isl_bool isl_set_contains_point(__isl_keep isl_set *set,
 437         __isl_keep isl_point *point);
 438
 439 isl_stat isl_basic_set_vars_get_sign(__isl_keep isl_basic_set *bset,
 440         unsigned first, unsigned n, int *signs);
 441 isl_stat isl_set_foreach_orthant(__isl_keep isl_set *set,
 442         isl_stat (*fn)(__isl_take isl_set *orthant, int *signs, void *user),
 443         void *user);
 444
 445 isl_bool isl_basic_set_eq_is_stride(__isl_keep isl_basic_set *bset, int i);
 446
 447 isl_bool isl_basic_map_is_div_constraint(__isl_keep isl_basic_map *bmap,
 448         isl_int *constraint, unsigned div);
 449
 450 __isl_give isl_basic_set *isl_basic_set_from_local_space(
 451         __isl_take isl_local_space *ls);
 452 __isl_give isl_basic_map *isl_basic_map_from_local_space(
 453         __isl_take isl_local_space *ls);
 454 __isl_give isl_basic_set *isl_basic_set_expand_divs(
 455         __isl_take isl_basic_set *bset, __isl_take isl_mat *div, int *exp);
 456 __isl_give isl_basic_map *isl_basic_map_expand_divs(
 457         __isl_take isl_basic_set *bmap, __isl_take isl_mat *div, int *exp);
 458
 459 isl_size isl_basic_set_n_equality(__isl_keep isl_basic_set *bset);
 460 isl_size isl_basic_map_n_equality(__isl_keep isl_basic_map *bmap);
 461 isl_size isl_basic_set_n_inequality(__isl_keep isl_basic_set *bset);
 462 isl_size isl_basic_map_n_inequality(__isl_keep isl_basic_map *bmap);
 463
 464 isl_bool isl_basic_map_div_is_integral(__isl_keep isl_basic_map *bmap, int div);
 465
 466 __isl_give isl_basic_map *isl_basic_map_mark_div_unknown(
 467         __isl_take isl_basic_map *bmap, int div);
 468 isl_bool isl_basic_map_div_is_marked_unknown(__isl_keep isl_basic_map *bmap,
 469         int div);
 470 isl_bool isl_basic_map_div_is_known(__isl_keep isl_basic_map *bmap, int div);
 471 int isl_basic_set_first_unknown_div(__isl_keep isl_basic_set *bset);
 472 int isl_basic_map_first_unknown_div(__isl_keep isl_basic_map *bmap);
 473 isl_bool isl_basic_map_divs_known(__isl_keep isl_basic_map *bmap);
 474 isl_bool isl_map_divs_known(__isl_keep isl_map *map);
 475 __isl_give isl_mat *isl_basic_set_get_divs(__isl_keep isl_basic_set *bset);
 476 __isl_give isl_mat *isl_basic_map_get_divs(__isl_keep isl_basic_map *bmap);
 477
 478 isl_bool isl_set_every_basic_set(__isl_keep isl_set *set,
 479         isl_bool (*test)(__isl_keep isl_basic_set *bset, void *user),
 480         void *user);
 481 __isl_give isl_map *isl_map_inline_foreach_basic_map(__isl_take isl_map *map,
 482         __isl_give isl_basic_map *(*fn)(__isl_take isl_basic_map *bmap));
 483
 484 isl_stat isl_basic_set_check_no_params(__isl_keep isl_basic_set *bset);
 485 isl_stat isl_basic_set_check_no_locals(__isl_keep isl_basic_set *bset);
 486
 487 isl_stat isl_basic_set_check_range(__isl_keep isl_basic_set *bset,
 488         enum isl_dim_type type, unsigned first, unsigned n);
 489 isl_stat isl_set_check_range(__isl_keep isl_set *set,
 490         enum isl_dim_type type, unsigned first, unsigned n);
 491 isl_stat isl_basic_map_check_range(__isl_keep isl_basic_map *bmap,
 492         enum isl_dim_type type, unsigned first, unsigned n);
 493 isl_stat isl_map_check_named_params(__isl_keep isl_map *map);
 494
 495 isl_bool isl_map_has_equal_params(__isl_keep isl_map *map1,
 496         __isl_keep isl_map *map2);
 497 isl_bool isl_basic_set_space_has_equal_params(__isl_keep isl_basic_set *bset,
 498         __isl_keep isl_space *space);
 499 isl_bool isl_set_space_has_equal_params(__isl_keep isl_set *set,
 500         __isl_keep isl_space *space);
 501 isl_bool isl_map_space_has_equal_params(__isl_keep isl_map *map,
 502         __isl_keep isl_space *space);
 503
 504 isl_stat isl_map_align_params_bin(__isl_keep isl_map **map1,
 505         __isl_keep isl_map **map2);
 506 isl_stat isl_map_align_params_set(__isl_keep isl_map **map,
 507         __isl_keep isl_set **set);
 508 isl_bool isl_map_align_params_map_map_and_test(__isl_keep isl_map *map1,
 509         __isl_keep isl_map *map2,
 510         isl_bool (*fn)(__isl_keep isl_map *map1, __isl_keep isl_map *map2));
 511
 512 __isl_give isl_set *isl_set_substitute(__isl_take isl_set *set,
 513         unsigned pos, __isl_keep isl_aff *subs);
 514
 515 __isl_give isl_set *isl_set_gist_params_basic_set(__isl_take isl_set *set,
 516         __isl_take isl_basic_set *context);
 517
 518 isl_bool isl_map_compatible_range(__isl_keep isl_map *map,
 519         __isl_keep isl_set *set);
 520
 521 isl_bool isl_basic_map_plain_is_non_empty(__isl_keep isl_basic_map *bmap);
 522 isl_bool isl_basic_map_plain_is_single_valued(__isl_keep isl_basic_map *bmap);
 523
 524 isl_bool isl_basic_map_is_set(__isl_keep isl_basic_map *bmap);
 525 isl_bool isl_map_is_set(__isl_keep isl_map *map);
 526 isl_bool isl_map_is_params(__isl_keep isl_map *map);
 527
 528 isl_bool isl_basic_set_plain_dim_is_fixed(__isl_keep isl_basic_set *bset,
 529         unsigned dim, isl_int *val);
 530
 531 __isl_give isl_set *isl_set_plain_gist_basic_set(__isl_take isl_set *set,
 532         __isl_take isl_basic_set *context);
 533 __isl_give isl_map *isl_map_plain_gist_basic_map(__isl_take isl_map *map,
 534         __isl_take isl_basic_map *context);
 535 __isl_give isl_map *isl_map_plain_gist(__isl_take isl_map *map,
 536         __isl_take isl_map *context);
 537
 538 __isl_give isl_basic_set *isl_basic_set_plain_affine_hull(
 539         __isl_take isl_basic_set *bset);
 540 __isl_give isl_basic_map *isl_basic_map_plain_affine_hull(
 541         __isl_take isl_basic_map *bmap);
 542
 543 isl_stat isl_basic_set_dim_residue_class(__isl_keep isl_basic_set *bset,
 544         int pos, isl_int *modulo, isl_int *residue);
 545 isl_stat isl_set_dim_residue_class(__isl_keep isl_set *set,
 546         int pos, isl_int *modulo, isl_int *residue);
 547
 548 __isl_give isl_basic_set *isl_basic_set_fix(__isl_take isl_basic_set *bset,
 549         enum isl_dim_type type, unsigned pos, isl_int value);
 550 __isl_give isl_basic_map *isl_basic_map_fix(__isl_take isl_basic_map *bmap,
 551         enum isl_dim_type type, unsigned pos, isl_int value);
 552 __isl_give isl_set *isl_set_fix(__isl_take isl_set *set,
 553         enum isl_dim_type type, unsigned pos, isl_int value);
 554 isl_bool isl_map_plain_is_fixed(__isl_keep isl_map *map,
 555         enum isl_dim_type type, unsigned pos, isl_int *val);
 556
 557 int isl_basic_map_output_defining_equality(__isl_keep isl_basic_map *bmap,
 558         int pos, int *div, int *ineq);
 559
 560 __isl_give isl_basic_map *isl_basic_map_reduce_coefficients(
 561         __isl_take isl_basic_map *bmap);
 562
 563 __isl_give isl_basic_map *isl_basic_map_shift_div(
 564         __isl_take isl_basic_map *bmap, int div, int pos, isl_int shift);
 565
 566 int isl_basic_set_count_upto(__isl_keep isl_basic_set *bset,
 567         isl_int max, isl_int *count);
 568 int isl_set_count_upto(__isl_keep isl_set *set, isl_int max, isl_int *count);
 569
 570 isl_bool isl_map_space_tuple_is_equal(__isl_keep isl_map *map,
 571         enum isl_dim_type type1, __isl_keep isl_space *space,
 572         enum isl_dim_type type2);
 573 isl_bool isl_map_tuple_is_equal(__isl_keep isl_map *map1,
 574         enum isl_dim_type type1, __isl_keep isl_map *map2,
 575         enum isl_dim_type type2);
 576 isl_bool isl_map_has_space(__isl_keep isl_map *map,
 577         __isl_keep isl_space *space);
 578 isl_bool isl_map_has_space_tuples(__isl_keep isl_map *map,
 579         __isl_keep isl_space *space);
 580
 581 isl_bool isl_basic_map_is_transformation(__isl_keep isl_basic_map *bmap);
 582 isl_stat isl_map_check_transformation(__isl_keep isl_map *map);
 583 isl_stat isl_basic_set_check_equal_space(__isl_keep isl_basic_set *bset1,
 584         __isl_keep isl_basic_set *bset2);
 585 isl_stat isl_basic_map_check_equal_space(__isl_keep isl_basic_map *bmap1,
 586         __isl_keep isl_basic_map *bmap2);
 587 isl_stat isl_set_basic_set_check_equal_space(__isl_keep isl_set *set,
 588         __isl_keep isl_basic_set *bset);
 589 isl_stat isl_map_basic_map_check_equal_space(__isl_keep isl_map *map,
 590         __isl_keep isl_basic_map *bmap);
 591 isl_stat isl_map_check_equal_space(__isl_keep isl_map *map1,
 592         __isl_keep isl_map *map2);
 593
 594 isl_bool isl_basic_map_applies_range(__isl_keep isl_basic_map *bmap1,
 595         __isl_keep isl_basic_map *bmap2);
 596
 597 __isl_give isl_vec *isl_basic_map_inequality_extract_output_upper_bound(
 598         __isl_keep isl_basic_map *bmap, int ineq, int pos);
 599
 600 isl_bool isl_basic_map_div_expr_involves_vars(__isl_keep isl_basic_map *bmap,
 601         int div, unsigned first, unsigned n);
 602 isl_bool isl_basic_map_any_div_involves_vars(__isl_keep isl_basic_map *bmap,
 603         unsigned first, unsigned n);
 604
 605 isl_size isl_basic_map_find_output_upper_div_constraint(
 606         __isl_keep isl_basic_map *bmap, int pos);
 607 __isl_give isl_maybe_isl_aff isl_basic_map_try_find_output_mod(
 608         __isl_keep isl_basic_map *bmap, int pos);
 609 __isl_give isl_maybe_isl_aff isl_basic_map_try_find_output_div_mod(
 610         __isl_keep isl_basic_map *bmap, int pos);
 611 __isl_give isl_maybe_isl_aff isl_basic_map_try_find_any_output_div_mod(
 612         __isl_keep isl_basic_map *bmap, int *pos);
 613
 614 __isl_give isl_mat *isl_basic_set_extract_equalities(
 615         __isl_keep isl_basic_set *bset);
 616
 617 isl_bool isl_basic_map_equal_div_expr_part(__isl_keep isl_basic_map *bmap1,
 618         int pos1, __isl_keep isl_basic_map *bmap2, int pos2,
 619         unsigned first, unsigned n);
 620 isl_bool isl_basic_map_equal_div_expr_except_constant(
 621         __isl_keep isl_basic_map *bmap1, int pos1,
 622         __isl_keep isl_basic_map *bmap2, int pos2);
 623 __isl_give isl_basic_map *isl_basic_map_set_div_expr_constant_num_si_inplace(
 624         __isl_take isl_basic_map *bmap, int div, int value);
 625
 626 #endif