include/isl_set.h

   1 /*
   2  * Copyright 2008-2009 Katholieke Universiteit Leuven
   3  *
   4  * Use of this software is governed by the GNU LGPLv2.1 license
   5  *
   6  * Written by Sven Verdoolaege, K.U.Leuven, Departement
   7  * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
   8  */
   9
  10 #ifndef ISL_SET_H
  11 #define ISL_SET_H
  12
  13 #include "isl_map.h"
  14 #include "isl_list.h"
  15 #include <isl_point.h>
  16
  17 #if defined(__cplusplus)
  18 extern "C" {
  19 #endif
  20
  21 /* A "basic set" is a basic map with a zero-dimensional
  22  * domain.
  23  */
  24 struct isl_basic_set {
  25         int ref;
  26 #define ISL_BASIC_SET_FINAL             (1 << 0)
  27 #define ISL_BASIC_SET_EMPTY             (1 << 1)
  28 #define ISL_BASIC_SET_NO_IMPLICIT       (1 << 2)
  29 #define ISL_BASIC_SET_NO_REDUNDANT      (1 << 3)
  30 #define ISL_BASIC_SET_RATIONAL          (1 << 4)
  31 #define ISL_BASIC_SET_NORMALIZED        (1 << 5)
  32 #define ISL_BASIC_SET_NORMALIZED_DIVS   (1 << 6)
  33 #define ISL_BASIC_SET_ALL_EQUALITIES    (1 << 7)
  34         unsigned flags;
  35
  36         struct isl_ctx *ctx;
  37
  38         struct isl_dim *dim;
  39         unsigned extra;
  40
  41         unsigned n_eq;
  42         unsigned n_ineq;
  43
  44         size_t c_size;
  45         isl_int **eq;
  46         isl_int **ineq;
  47
  48         unsigned n_div;
  49
  50         isl_int **div;
  51
  52         struct isl_vec *sample;
  53
  54         struct isl_blk block;
  55         struct isl_blk block2;
  56 };
  57
  58 /* A "set" is a (possibly disjoint) union of basic sets.
  59  *
  60  * See the documentation of isl_map.
  61  */
  62 struct isl_set {
  63         int ref;
  64 #define ISL_SET_DISJOINT                (1 << 0)
  65 #define ISL_SET_NORMALIZED              (1 << 1)
  66         unsigned flags;
  67
  68         struct isl_ctx *ctx;
  69
  70         struct isl_dim *dim;
  71
  72         int n;
  73
  74         size_t size;
  75         struct isl_basic_set *p[1];
  76 };
  77
  78 unsigned isl_basic_set_n_dim(const struct isl_basic_set *bset);
  79 unsigned isl_basic_set_n_param(const struct isl_basic_set *bset);
  80 unsigned isl_basic_set_total_dim(const struct isl_basic_set *bset);
  81 unsigned isl_basic_set_dim(const struct isl_basic_set *bset,
  82                                 enum isl_dim_type type);
  83
  84 unsigned isl_set_n_dim(const struct isl_set *set);
  85 unsigned isl_set_n_param(const struct isl_set *set);
  86 unsigned isl_set_dim(const struct isl_set *set, enum isl_dim_type type);
  87
  88 isl_ctx *isl_basic_set_get_ctx(__isl_keep isl_basic_set *bset);
  89 isl_ctx *isl_set_get_ctx(__isl_keep isl_set *set);
  90 __isl_give isl_dim *isl_basic_set_get_dim(__isl_keep isl_basic_set *bset);
  91 __isl_give isl_dim *isl_set_get_dim(__isl_keep isl_set *set);
  92 __isl_give isl_set *isl_set_reset_dim(__isl_take isl_set *set,
  93         __isl_take isl_dim *dim);
  94
  95 const char *isl_set_get_tuple_name(__isl_keep isl_set *set);
  96 __isl_give isl_set *isl_set_set_tuple_name(__isl_take isl_set *set,
  97         const char *s);
  98 __isl_give isl_basic_set *isl_basic_set_set_dim_name(
  99         __isl_take isl_basic_set *bset,
 100         enum isl_dim_type type, unsigned pos, const char *s);
 101 const char *isl_set_get_dim_name(__isl_keep isl_set *set,
 102         enum isl_dim_type type, unsigned pos);
 103 __isl_give isl_set *isl_set_set_dim_name(__isl_take isl_set *set,
 104         enum isl_dim_type type, unsigned pos, const char *s);
 105
 106 struct isl_basic_set *isl_basic_set_alloc(struct isl_ctx *ctx,
 107                 unsigned nparam, unsigned dim, unsigned extra,
 108                 unsigned n_eq, unsigned n_ineq);
 109 struct isl_basic_set *isl_basic_set_extend(struct isl_basic_set *base,
 110                 unsigned nparam, unsigned dim, unsigned extra,
 111                 unsigned n_eq, unsigned n_ineq);
 112 struct isl_basic_set *isl_basic_set_extend_constraints(
 113                 struct isl_basic_set *base, unsigned n_eq, unsigned n_ineq);
 114 struct isl_basic_set *isl_basic_set_finalize(struct isl_basic_set *bset);
 115 void isl_basic_set_free(__isl_take isl_basic_set *bset);
 116 __isl_give isl_basic_set *isl_basic_set_copy(__isl_keep isl_basic_set *bset);
 117 struct isl_basic_set *isl_basic_set_dup(struct isl_basic_set *bset);
 118 __isl_give isl_basic_set *isl_basic_set_empty(__isl_take isl_dim *dim);
 119 struct isl_basic_set *isl_basic_set_empty_like(struct isl_basic_set *bset);
 120 __isl_give isl_basic_set *isl_basic_set_universe(__isl_take isl_dim *dim);
 121 struct isl_basic_set *isl_basic_set_universe_like(struct isl_basic_set *bset);
 122 __isl_give isl_basic_set *isl_basic_set_universe_like_set(
 123         __isl_keep isl_set *model);
 124 struct isl_basic_set *isl_basic_set_interval(struct isl_ctx *ctx,
 125         isl_int min, isl_int max);
 126 struct isl_basic_set *isl_basic_set_positive_orthant(struct isl_dim *dims);
 127 void isl_basic_set_dump(__isl_keep isl_basic_set *bset,
 128                                 FILE *out, int indent);
 129 struct isl_basic_set *isl_basic_set_swap_vars(
 130                 struct isl_basic_set *bset, unsigned n);
 131 __isl_give isl_basic_set *isl_basic_set_intersect(
 132                 __isl_take isl_basic_set *bset1,
 133                 __isl_take isl_basic_set *bset2);
 134 __isl_give isl_basic_set *isl_basic_set_apply(
 135                 __isl_take isl_basic_set *bset,
 136                 __isl_take isl_basic_map *bmap);
 137 __isl_give isl_basic_set *isl_basic_set_affine_hull(
 138                 __isl_take isl_basic_set *bset);
 139 __isl_give isl_basic_set *isl_basic_set_remove_dims(
 140         __isl_take isl_basic_set *bset,
 141         enum isl_dim_type type, unsigned first, unsigned n);
 142 struct isl_basic_set *isl_basic_set_simplify(struct isl_basic_set *bset);
 143 __isl_give isl_basic_set *isl_basic_set_detect_equalities(
 144                                                 __isl_take isl_basic_set *bset);
 145 struct isl_basic_set *isl_basic_set_product(struct isl_basic_set_list *list);
 146
 147 __isl_give isl_basic_set *isl_basic_set_read_from_file(isl_ctx *ctx,
 148                 FILE *input, int nparam);
 149 __isl_give isl_basic_set *isl_basic_set_read_from_str(isl_ctx *ctx,
 150                 const char *str, int nparam);
 151 __isl_give isl_set *isl_set_read_from_file(isl_ctx *ctx,
 152                 FILE *input, int nparam);
 153 __isl_give isl_set *isl_set_read_from_str(isl_ctx *ctx,
 154                 const char *str, int nparam);
 155 __isl_give isl_printer *isl_printer_print_basic_set(
 156         __isl_take isl_printer *printer, __isl_keep isl_basic_set *bset);
 157 __isl_give isl_printer *isl_printer_print_set(__isl_take isl_printer *printer,
 158         __isl_keep isl_set *map);
 159 void isl_basic_set_print(__isl_keep isl_basic_set *bset, FILE *out, int indent,
 160         const char *prefix, const char *suffix, unsigned output_format);
 161 void isl_set_print(__isl_keep struct isl_set *set, FILE *out, int indent,
 162         unsigned output_format);
 163 __isl_give isl_basic_set *isl_basic_set_fix(__isl_take isl_basic_set *bset,
 164                 enum isl_dim_type type, unsigned pos, isl_int value);
 165 struct isl_basic_set *isl_basic_set_fix_si(struct isl_basic_set *bset,
 166                 enum isl_dim_type type, unsigned pos, int value);
 167 __isl_give isl_set *isl_set_fix_si(__isl_take isl_set *set,
 168                 enum isl_dim_type type, unsigned pos, int value);
 169 __isl_give isl_set *isl_set_lower_bound_si(__isl_take isl_set *set,
 170                 enum isl_dim_type type, unsigned pos, int value);
 171
 172 struct isl_basic_set *isl_basic_set_from_underlying_set(
 173         struct isl_basic_set *bset, struct isl_basic_set *like);
 174 struct isl_set *isl_set_from_underlying_set(
 175         struct isl_set *set, struct isl_basic_set *like);
 176 struct isl_set *isl_set_to_underlying_set(struct isl_set *set);
 177
 178 int isl_basic_set_is_equal(
 179                 struct isl_basic_set *bset1, struct isl_basic_set *bset2);
 180
 181 __isl_give isl_set *isl_basic_set_partial_lexmin(
 182                 __isl_take isl_basic_set *bset, __isl_take isl_basic_set *dom,
 183                 __isl_give isl_set **empty);
 184 __isl_give isl_set *isl_basic_set_partial_lexmax(
 185                 __isl_take isl_basic_set *bset, __isl_take isl_basic_set *dom,
 186                 __isl_give isl_set **empty);
 187 __isl_give isl_set *isl_set_partial_lexmin(
 188                 __isl_take isl_set *set, __isl_take isl_set *dom,
 189                 __isl_give isl_set **empty);
 190 __isl_give isl_set *isl_set_partial_lexmax(
 191                 __isl_take isl_set *set, __isl_take isl_set *dom,
 192                 __isl_give isl_set **empty);
 193 __isl_give isl_set *isl_basic_set_lexmin(__isl_take isl_basic_set *bset);
 194 __isl_give isl_set *isl_basic_set_lexmax(__isl_take isl_basic_set *bset);
 195 __isl_give isl_set *isl_set_lexmin(__isl_take isl_set *set);
 196 __isl_give isl_set *isl_set_lexmax(__isl_take isl_set *set);
 197 __isl_give isl_set *isl_basic_set_union(
 198                 __isl_take isl_basic_set *bset1,
 199                 __isl_take isl_basic_set *bset2);
 200
 201 int isl_basic_set_compare_at(struct isl_basic_set *bset1,
 202         struct isl_basic_set *bset2, int pos);
 203 int isl_set_follows_at(__isl_keep isl_set *set1,
 204         __isl_keep isl_set *set2, int pos);
 205
 206 int isl_basic_set_dims_get_sign(__isl_keep isl_basic_set *bset,
 207         enum isl_dim_type type, unsigned pos, unsigned n, int *signs);
 208
 209 int isl_basic_set_is_universe(__isl_keep isl_basic_set *bset);
 210 int isl_basic_set_fast_is_empty(__isl_keep isl_basic_set *bset);
 211 int isl_basic_set_is_empty(__isl_keep isl_basic_set *bset);
 212 int isl_basic_set_is_bounded(__isl_keep isl_basic_set *bset);
 213
 214 struct isl_set *isl_set_alloc(struct isl_ctx *ctx,
 215                 unsigned nparam, unsigned dim, int n, unsigned flags);
 216 struct isl_set *isl_set_extend(struct isl_set *base,
 217                 unsigned nparam, unsigned dim);
 218 __isl_give isl_set *isl_set_empty(__isl_take isl_dim *dim);
 219 struct isl_set *isl_set_empty_like(struct isl_set *set);
 220 __isl_give isl_set *isl_set_universe(__isl_take isl_dim *dim);
 221 __isl_give isl_set *isl_set_universe_like(__isl_keep isl_set *model);
 222 __isl_give isl_set *isl_set_add_basic_set(__isl_take isl_set *set,
 223                                                 __isl_take isl_basic_set *bset);
 224 struct isl_set *isl_set_finalize(struct isl_set *set);
 225 __isl_give isl_set *isl_set_copy(__isl_keep isl_set *set);
 226 void isl_set_free(__isl_take isl_set *set);
 227 struct isl_set *isl_set_dup(struct isl_set *set);
 228 __isl_give isl_set *isl_set_from_basic_set(__isl_take isl_basic_set *bset);
 229 __isl_give isl_basic_set *isl_set_sample(__isl_take isl_set *set);
 230 __isl_give isl_point *isl_basic_set_sample_point(__isl_take isl_basic_set *bset);
 231 __isl_give isl_point *isl_set_sample_point(__isl_take isl_set *set);
 232 __isl_give isl_set *isl_set_detect_equalities(__isl_take isl_set *set);
 233 __isl_give isl_basic_set *isl_set_affine_hull(__isl_take isl_set *set);
 234 __isl_give isl_basic_set *isl_set_convex_hull(__isl_take isl_set *set);
 235 __isl_give isl_basic_set *isl_set_polyhedral_hull(__isl_take isl_set *set);
 236 __isl_give isl_basic_set *isl_set_simple_hull(__isl_take isl_set *set);
 237 struct isl_basic_set *isl_set_bounded_simple_hull(struct isl_set *set);
 238 __isl_give isl_set *isl_set_recession_cone(__isl_take isl_set *set);
 239
 240 struct isl_set *isl_set_union_disjoint(
 241                         struct isl_set *set1, struct isl_set *set2);
 242 __isl_give isl_set *isl_set_union(
 243                 __isl_take isl_set *set1,
 244                 __isl_take isl_set *set2);
 245 struct isl_set *isl_set_product(struct isl_set *set1, struct isl_set *set2);
 246 __isl_give isl_set *isl_set_flat_product(__isl_take isl_set *set1,
 247         __isl_take isl_set *set2);
 248 __isl_give isl_set *isl_set_intersect(
 249                 __isl_take isl_set *set1,
 250                 __isl_take isl_set *set2);
 251 __isl_give isl_set *isl_set_subtract(
 252                 __isl_take isl_set *set1,
 253                 __isl_take isl_set *set2);
 254 __isl_give isl_set *isl_set_complement(__isl_take isl_set *set);
 255 __isl_give isl_set *isl_set_apply(
 256                 __isl_take isl_set *set,
 257                 __isl_take isl_map *map);
 258 __isl_give isl_set *isl_set_fix(__isl_take isl_set *set,
 259                 enum isl_dim_type type, unsigned pos, isl_int value);
 260 struct isl_set *isl_set_fix_dim_si(struct isl_set *set,
 261                 unsigned dim, int value);
 262 struct isl_set *isl_set_lower_bound_dim(struct isl_set *set,
 263                 unsigned dim, isl_int value);
 264 __isl_give isl_set *isl_set_insert(__isl_take isl_set *set,
 265                 enum isl_dim_type type, unsigned pos, unsigned n);
 266 __isl_give isl_basic_set *isl_basic_set_add(__isl_take isl_basic_set *bset,
 267                 enum isl_dim_type type, unsigned n);
 268 __isl_give isl_set *isl_set_add_dims(__isl_take isl_set *set,
 269                 enum isl_dim_type type, unsigned n);
 270 __isl_give isl_basic_set *isl_basic_set_move_dims(__isl_take isl_basic_set *bset,
 271         enum isl_dim_type dst_type, unsigned dst_pos,
 272         enum isl_dim_type src_type, unsigned src_pos, unsigned n);
 273 __isl_give isl_set *isl_set_move_dims(__isl_take isl_set *set,
 274         enum isl_dim_type dst_type, unsigned dst_pos,
 275         enum isl_dim_type src_type, unsigned src_pos, unsigned n);
 276 __isl_give isl_basic_set *isl_basic_set_project_out(
 277                 __isl_take isl_basic_set *bset,
 278                 enum isl_dim_type type, unsigned first, unsigned n);
 279 __isl_give isl_set *isl_set_project_out(__isl_take isl_set *set,
 280                 enum isl_dim_type type, unsigned first, unsigned n);
 281 __isl_give isl_basic_set *isl_basic_set_remove_divs(
 282         __isl_take isl_basic_set *bset);
 283 struct isl_set *isl_set_eliminate_dims(struct isl_set *set,
 284                 unsigned first, unsigned n);
 285 __isl_give isl_set *isl_set_remove_dims(__isl_take isl_set *bset,
 286         enum isl_dim_type type, unsigned first, unsigned n);
 287 __isl_give isl_set *isl_set_remove_divs_involving_dims(__isl_take isl_set *set,
 288         enum isl_dim_type type, unsigned first, unsigned n);
 289 __isl_give isl_set *isl_set_remove_divs(__isl_take isl_set *set);
 290 __isl_give isl_set *isl_set_split_dims(__isl_take isl_set *set,
 291         enum isl_dim_type type, unsigned first, unsigned n);
 292
 293 void isl_set_dump(__isl_keep isl_set *set, FILE *out, int indent);
 294 struct isl_set *isl_set_swap_vars(struct isl_set *set, unsigned n);
 295 int isl_set_fast_is_empty(__isl_keep isl_set *set);
 296 int isl_set_fast_is_universe(__isl_keep isl_set *set);
 297 int isl_set_is_empty(__isl_keep isl_set *set);
 298 int isl_set_is_bounded(__isl_keep isl_set *set);
 299 int isl_set_is_subset(__isl_keep isl_set *set1, __isl_keep isl_set *set2);
 300 int isl_set_is_strict_subset(__isl_keep isl_set *set1, __isl_keep isl_set *set2);
 301 int isl_set_is_equal(__isl_keep isl_set *set1, __isl_keep isl_set *set2);
 302 int isl_set_is_singleton(__isl_keep isl_set *set);
 303 int isl_set_is_box(__isl_keep isl_set *set);
 304 int isl_set_has_equal_dim(__isl_keep isl_set *set1, __isl_keep isl_set *set2);
 305
 306 __isl_give isl_set *isl_set_sum(__isl_take isl_set *set1,
 307         __isl_take isl_set *set2);
 308 __isl_give isl_set *isl_set_neg(__isl_take isl_set *set);
 309
 310 __isl_give isl_set *isl_set_make_disjoint(__isl_take isl_set *set);
 311 struct isl_set *isl_basic_set_compute_divs(struct isl_basic_set *bset);
 312 __isl_give isl_set *isl_set_compute_divs(__isl_take isl_set *set);
 313 __isl_give isl_set *isl_set_align_divs(__isl_take isl_set *set);
 314
 315 struct isl_basic_set *isl_set_copy_basic_set(struct isl_set *set);
 316 struct isl_set *isl_set_drop_basic_set(struct isl_set *set,
 317                                                 struct isl_basic_set *bset);
 318
 319 int isl_basic_set_fast_dim_is_fixed(struct isl_basic_set *bset, unsigned dim,
 320         isl_int *val);
 321
 322 int isl_set_fast_dim_is_fixed(struct isl_set *set, unsigned dim, isl_int *val);
 323 int isl_set_fast_dim_has_fixed_lower_bound(struct isl_set *set,
 324         unsigned dim, isl_int *val);
 325 int isl_set_dim_is_bounded(__isl_keep isl_set *set,
 326         enum isl_dim_type type, unsigned pos);
 327
 328 __isl_give isl_basic_set *isl_basic_set_gist(__isl_take isl_basic_set *bset,
 329                                             __isl_take isl_basic_set *context);
 330 __isl_give isl_set *isl_set_gist_basic_set(__isl_take isl_set *set,
 331         __isl_take isl_basic_set *context);
 332 __isl_give isl_set *isl_set_gist(__isl_take isl_set *set,
 333         __isl_take isl_set *context);
 334 int isl_basic_set_dim_residue_class(struct isl_basic_set *bset,
 335         int pos, isl_int *modulo, isl_int *residue);
 336 int isl_set_dim_residue_class(struct isl_set *set,
 337         int pos, isl_int *modulo, isl_int *residue);
 338
 339 __isl_give isl_set *isl_set_coalesce(__isl_take isl_set *set);
 340
 341 int isl_set_fast_is_equal(__isl_keep isl_set *set1, __isl_keep isl_set *set2);
 342 int isl_set_fast_is_disjoint(__isl_keep isl_set *set1, __isl_keep isl_set *set2);
 343
 344 uint32_t isl_set_get_hash(struct isl_set *set);
 345
 346 int isl_set_dim_is_unique(struct isl_set *set, unsigned dim);
 347
 348 int isl_set_n_basic_set(__isl_keep isl_set *set);
 349 int isl_set_foreach_basic_set(__isl_keep isl_set *set,
 350         int (*fn)(__isl_take isl_basic_set *bset, void *user), void *user);
 351
 352 int isl_set_foreach_point(__isl_keep isl_set *set,
 353         int (*fn)(__isl_take isl_point *pnt, void *user), void *user);
 354 int isl_set_count(__isl_keep isl_set *set, isl_int *count);
 355 int isl_set_count_upto(__isl_keep isl_set *set, isl_int max, isl_int *count);
 356
 357 __isl_give isl_basic_set *isl_basic_set_from_point(__isl_take isl_point *pnt);
 358 __isl_give isl_set *isl_set_from_point(__isl_take isl_point *pnt);
 359 __isl_give isl_basic_set *isl_basic_set_box_from_points(
 360         __isl_take isl_point *pnt1, __isl_take isl_point *pnt2);
 361 __isl_give isl_set *isl_set_box_from_points(__isl_take isl_point *pnt1,
 362         __isl_take isl_point *pnt2);
 363
 364 __isl_give isl_basic_set *isl_basic_set_lift(__isl_take isl_basic_set *bset);
 365 __isl_give isl_set *isl_set_lift(__isl_take isl_set *set);
 366
 367 __isl_give isl_map *isl_set_lex_le_set(__isl_take isl_set *set1,
 368         __isl_take isl_set *set2);
 369 __isl_give isl_map *isl_set_lex_lt_set(__isl_take isl_set *set1,
 370         __isl_take isl_set *set2);
 371 __isl_give isl_map *isl_set_lex_ge_set(__isl_take isl_set *set1,
 372         __isl_take isl_set *set2);
 373 __isl_give isl_map *isl_set_lex_gt_set(__isl_take isl_set *set1,
 374         __isl_take isl_set *set2);
 375
 376 int isl_set_size(__isl_keep isl_set *set);
 377
 378 __isl_give isl_basic_set *isl_basic_set_from_constraint_matrices(
 379         __isl_take isl_dim *dim,
 380         __isl_take isl_mat *eq, __isl_take isl_mat *ineq, enum isl_dim_type c1,
 381         enum isl_dim_type c2, enum isl_dim_type c3, enum isl_dim_type c4);
 382
 383 __isl_give isl_mat *isl_basic_set_reduced_basis(__isl_keep isl_basic_set *bset);
 384
 385 #if defined(__cplusplus)
 386 }
 387 #endif
 388
 389 #endif