include/isl_map.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_MAP_H
  11 #define ISL_MAP_H
  12
  13 #include <stdio.h>
  14
  15 #include <isl_int.h>
  16 #include <isl_ctx.h>
  17 #include <isl_blk.h>
  18 #include <isl_dim.h>
  19 #include <isl_vec.h>
  20 #include <isl_mat.h>
  21 #include <isl_printer.h>
  22
  23 #if defined(__cplusplus)
  24 extern "C" {
  25 #endif
  26
  27 /* General notes:
  28  *
  29  * All structures are reference counted to allow reuse without duplication.
  30  * A *_copy operation will increase the reference count, while a *_free
  31  * operation will decrease the reference count and only actually release
  32  * the structures when the reference count drops to zero.
  33  *
  34  * Functions that return an isa structure will in general _destroy_
  35  * all argument isa structures (the obvious execption begin the _copy
  36  * functions).  A pointer passed to such a function may therefore
  37  * never be used after the function call.  If you want to keep a
  38  * reference to the old structure(s), use the appropriate _copy function.
  39  */
  40
  41 /* A "basic map" is a relation between two sets of variables,
  42  * called the "in" and "out" variables.
  43  *
  44  * It is implemented as a set with two extra fields:
  45  * n_in is the number of in variables
  46  * n_out is the number of out variables
  47  * n_in + n_out should be equal to set.dim
  48  */
  49 struct isl_dim;
  50 struct isl_basic_map {
  51         int ref;
  52 #define ISL_BASIC_MAP_FINAL             (1 << 0)
  53 #define ISL_BASIC_MAP_EMPTY             (1 << 1)
  54 #define ISL_BASIC_MAP_NO_IMPLICIT       (1 << 2)
  55 #define ISL_BASIC_MAP_NO_REDUNDANT      (1 << 3)
  56 #define ISL_BASIC_MAP_RATIONAL          (1 << 4)
  57 #define ISL_BASIC_MAP_NORMALIZED        (1 << 5)
  58 #define ISL_BASIC_MAP_NORMALIZED_DIVS   (1 << 6)
  59 #define ISL_BASIC_MAP_ALL_EQUALITIES    (1 << 7)
  60         unsigned flags;
  61
  62         struct isl_ctx *ctx;
  63
  64         struct isl_dim *dim;
  65         unsigned extra;
  66
  67         unsigned n_eq;
  68         unsigned n_ineq;
  69
  70         size_t c_size;
  71         isl_int **eq;
  72         isl_int **ineq;
  73
  74         unsigned n_div;
  75
  76         isl_int **div;
  77
  78         struct isl_vec *sample;
  79
  80         struct isl_blk block;
  81         struct isl_blk block2;
  82 };
  83 typedef struct isl_basic_map isl_basic_map;
  84 struct isl_basic_set;
  85 typedef struct isl_basic_set isl_basic_set;
  86
  87 /* A "map" is a (disjoint) union of basic maps.
  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 struct isl_map {
  94         int ref;
  95 #define ISL_MAP_DISJOINT                (1 << 0)
  96 #define ISL_MAP_NORMALIZED              (1 << 1)
  97         unsigned flags;
  98
  99         struct isl_ctx *ctx;
 100
 101         struct isl_dim *dim;
 102
 103         int n;
 104
 105         size_t size;
 106         struct isl_basic_map *p[1];
 107 };
 108 typedef struct isl_map isl_map;
 109 struct isl_set;
 110 typedef struct isl_set isl_set;
 111
 112 unsigned isl_basic_map_n_in(const struct isl_basic_map *bmap);
 113 unsigned isl_basic_map_n_out(const struct isl_basic_map *bmap);
 114 unsigned isl_basic_map_n_param(const struct isl_basic_map *bmap);
 115 unsigned isl_basic_map_n_div(const struct isl_basic_map *bmap);
 116 unsigned isl_basic_map_total_dim(const struct isl_basic_map *bmap);
 117 unsigned isl_basic_map_dim(const struct isl_basic_map *bmap,
 118                                 enum isl_dim_type type);
 119
 120 unsigned isl_map_n_in(const struct isl_map *map);
 121 unsigned isl_map_n_out(const struct isl_map *map);
 122 unsigned isl_map_n_param(const struct isl_map *map);
 123 unsigned isl_map_dim(const struct isl_map *map, enum isl_dim_type type);
 124
 125 __isl_give isl_dim *isl_basic_map_get_dim(__isl_keep isl_basic_map *bmap);
 126 __isl_give isl_dim *isl_map_get_dim(__isl_keep isl_map *map);
 127
 128 struct isl_basic_map *isl_basic_map_alloc(struct isl_ctx *ctx,
 129                 unsigned nparam, unsigned in, unsigned out, unsigned extra,
 130                 unsigned n_eq, unsigned n_ineq);
 131 __isl_give isl_basic_map *isl_basic_map_identity(__isl_take isl_dim *set_dim);
 132 struct isl_basic_map *isl_basic_map_identity_like(struct isl_basic_map *model);
 133 struct isl_basic_map *isl_basic_map_finalize(struct isl_basic_map *bmap);
 134 void isl_basic_map_free(__isl_take isl_basic_map *bmap);
 135 __isl_give isl_basic_map *isl_basic_map_copy(__isl_keep isl_basic_map *bmap);
 136 struct isl_basic_map *isl_basic_map_extend(struct isl_basic_map *base,
 137                 unsigned nparam, unsigned n_in, unsigned n_out, unsigned extra,
 138                 unsigned n_eq, unsigned n_ineq);
 139 struct isl_basic_map *isl_basic_map_extend_constraints(
 140                 struct isl_basic_map *base, unsigned n_eq, unsigned n_ineq);
 141 struct isl_basic_map *isl_basic_map_equal(
 142                 struct isl_dim *dim, unsigned n_equal);
 143 struct isl_basic_map *isl_basic_map_less_at(struct isl_dim *dim, unsigned pos);
 144 struct isl_basic_map *isl_basic_map_more_at(struct isl_dim *dim, unsigned pos);
 145 __isl_give isl_basic_map *isl_basic_map_empty(__isl_take isl_dim *dim);
 146 struct isl_basic_map *isl_basic_map_empty_like(struct isl_basic_map *model);
 147 struct isl_basic_map *isl_basic_map_empty_like_map(struct isl_map *model);
 148 __isl_give isl_basic_map *isl_basic_map_universe(__isl_take isl_dim *dim);
 149 __isl_give isl_basic_map *isl_basic_map_universe_like(
 150                 __isl_keep isl_basic_map *bmap);
 151 struct isl_basic_map *isl_basic_map_convex_hull(struct isl_basic_map *bmap);
 152 __isl_give isl_basic_map *isl_map_simple_hull(__isl_take isl_map *map);
 153
 154 __isl_give isl_basic_map *isl_basic_map_intersect_domain(
 155                 __isl_take isl_basic_map *bmap,
 156                 __isl_take isl_basic_set *bset);
 157 __isl_give isl_basic_map *isl_basic_map_intersect_range(
 158                 __isl_take isl_basic_map *bmap,
 159                 __isl_take isl_basic_set *bset);
 160 __isl_give isl_basic_map *isl_basic_map_intersect(
 161                 __isl_take isl_basic_map *bmap1,
 162                 __isl_take isl_basic_map *bmap2);
 163 __isl_give isl_map *isl_basic_map_union(
 164                 __isl_take isl_basic_map *bmap1,
 165                 __isl_take isl_basic_map *bmap2);
 166 __isl_give isl_basic_map *isl_basic_map_apply_domain(
 167                 __isl_take isl_basic_map *bmap1,
 168                 __isl_take isl_basic_map *bmap2);
 169 __isl_give isl_basic_map *isl_basic_map_apply_range(
 170                 __isl_take isl_basic_map *bmap1,
 171                 __isl_take isl_basic_map *bmap2);
 172 __isl_give isl_basic_map *isl_basic_map_affine_hull(
 173                 __isl_take isl_basic_map *bmap);
 174 __isl_give isl_basic_map *isl_basic_map_reverse(__isl_take isl_basic_map *bmap);
 175 __isl_give isl_basic_set *isl_basic_map_domain(__isl_take isl_basic_map *bmap);
 176 __isl_give isl_basic_set *isl_basic_map_range(__isl_take isl_basic_map *bmap);
 177 struct isl_basic_map *isl_basic_map_remove(struct isl_basic_map *bmap,
 178         enum isl_dim_type type, unsigned first, unsigned n);
 179 struct isl_basic_map *isl_basic_map_from_basic_set(struct isl_basic_set *bset,
 180                 struct isl_dim *dim);
 181 struct isl_basic_set *isl_basic_set_from_basic_map(struct isl_basic_map *bmap);
 182 __isl_give isl_basic_map *isl_basic_map_sample(__isl_take isl_basic_map *bmap);
 183 struct isl_basic_map *isl_basic_map_simplify(struct isl_basic_map *bmap);
 184 struct isl_basic_map *isl_basic_map_detect_equalities(
 185                                                 struct isl_basic_map *bmap);
 186 __isl_give isl_basic_map *isl_basic_map_read_from_file(isl_ctx *ctx,
 187                 FILE *input, int nparam);
 188 __isl_give isl_basic_map *isl_basic_map_read_from_str(isl_ctx *ctx,
 189                 const char *str, int nparam);
 190 __isl_give isl_map *isl_map_read_from_file(struct isl_ctx *ctx,
 191                 FILE *input, int nparam);
 192 __isl_give isl_map *isl_map_read_from_str(isl_ctx *ctx,
 193                 const char *str, int nparam);
 194 void isl_basic_map_print(__isl_keep isl_basic_map *bmap, FILE *out, int indent,
 195         const char *prefix, const char *suffix, unsigned output_format);
 196 void isl_map_print(__isl_keep isl_map *map, FILE *out, int indent,
 197         unsigned output_format);
 198 __isl_give isl_printer *isl_printer_print_basic_map(
 199         __isl_take isl_printer *printer, __isl_keep isl_basic_map *bmap);
 200 __isl_give isl_printer *isl_printer_print_map(__isl_take isl_printer *printer,
 201         __isl_keep isl_map *map);
 202 struct isl_basic_map *isl_basic_map_fix_si(struct isl_basic_map *bmap,
 203                 enum isl_dim_type type, unsigned pos, int value);
 204 __isl_give isl_basic_map *isl_basic_map_lower_bound_si(
 205                 __isl_take isl_basic_map *bmap,
 206                 enum isl_dim_type type, unsigned pos, int value);
 207
 208 struct isl_basic_map *isl_basic_map_sum(
 209                 struct isl_basic_map *bmap1, struct isl_basic_map *bmap2);
 210 struct isl_basic_map *isl_basic_map_neg(struct isl_basic_map *bmap);
 211 struct isl_basic_map *isl_basic_map_floordiv(struct isl_basic_map *bmap,
 212                 isl_int d);
 213
 214 struct isl_map *isl_map_sum(struct isl_map *map1, struct isl_map *map2);
 215 struct isl_map *isl_map_neg(struct isl_map *map);
 216 struct isl_map *isl_map_floordiv(struct isl_map *map, isl_int d);
 217
 218 int isl_basic_map_is_equal(
 219                 __isl_keep isl_basic_map *bmap1,
 220                 __isl_keep isl_basic_map *bmap2);
 221
 222 __isl_give isl_map *isl_basic_map_partial_lexmax(
 223                 __isl_take isl_basic_map *bmap, __isl_take isl_basic_set *dom,
 224                 __isl_give isl_set **empty);
 225 __isl_give isl_map *isl_basic_map_partial_lexmin(
 226                 __isl_take isl_basic_map *bmap, __isl_take isl_basic_set *dom,
 227                 __isl_give isl_set **empty);
 228 __isl_give isl_map *isl_map_partial_lexmax(
 229                 __isl_take isl_map *map, __isl_take isl_set *dom,
 230                 __isl_give isl_set **empty);
 231 __isl_give isl_map *isl_map_partial_lexmin(
 232                 __isl_take isl_map *map, __isl_take isl_set *dom,
 233                 __isl_give isl_set **empty);
 234 __isl_give isl_map *isl_basic_map_lexmin(__isl_take isl_basic_map *bmap);
 235 __isl_give isl_map *isl_basic_map_lexmax(__isl_take isl_basic_map *bmap);
 236 __isl_give isl_map *isl_map_lexmin(__isl_take isl_map *map);
 237 __isl_give isl_map *isl_map_lexmax(__isl_take isl_map *map);
 238 int isl_basic_map_foreach_lexmin(__isl_keep isl_basic_map *bmap,
 239         int (*fn)(__isl_take isl_basic_set *dom, __isl_take isl_mat *map,
 240                   void *user),
 241         void *user);
 242
 243 void isl_basic_map_dump(__isl_keep isl_basic_map *bmap, FILE *out, int indent);
 244
 245 struct isl_basic_map *isl_map_copy_basic_map(struct isl_map *map);
 246 __isl_give isl_map *isl_map_drop_basic_map(__isl_take isl_map *map,
 247                                                 __isl_keep isl_basic_map *bmap);
 248
 249 int isl_basic_map_fast_is_fixed(struct isl_basic_map *bmap,
 250         enum isl_dim_type type, unsigned pos, isl_int *val);
 251
 252 int isl_basic_map_is_universe(__isl_keep isl_basic_map *bmap);
 253 int isl_basic_map_fast_is_empty(__isl_keep isl_basic_map *bmap);
 254 int isl_basic_map_is_empty(__isl_keep isl_basic_map *bmap);
 255 int isl_basic_map_is_subset(__isl_keep isl_basic_map *bmap1,
 256                 __isl_keep isl_basic_map *bmap2);
 257 int isl_basic_map_is_strict_subset(__isl_keep isl_basic_map *bmap1,
 258                 __isl_keep isl_basic_map *bmap2);
 259
 260 struct isl_map *isl_map_alloc(struct isl_ctx *ctx,
 261                 unsigned nparam, unsigned in, unsigned out, int n,
 262                 unsigned flags);
 263 __isl_give isl_map *isl_map_universe(__isl_take isl_dim *dim);
 264 __isl_give isl_map *isl_map_empty(__isl_take isl_dim *dim);
 265 struct isl_map *isl_map_empty_like(struct isl_map *model);
 266 struct isl_map *isl_map_empty_like_basic_map(struct isl_basic_map *model);
 267 struct isl_map *isl_map_dup(struct isl_map *map);
 268 __isl_give isl_map *isl_map_add_basic_map(__isl_take isl_map *map,
 269                                                 __isl_take isl_basic_map *bmap);
 270 __isl_give isl_map *isl_map_identity(__isl_take isl_dim *set_dim);
 271 struct isl_map *isl_map_identity_like(struct isl_map *model);
 272 struct isl_map *isl_map_identity_like_basic_map(struct isl_basic_map *model);
 273 __isl_give isl_map *isl_map_lex_lt_first(__isl_take isl_dim *dim, unsigned n);
 274 __isl_give isl_map *isl_map_lex_le_first(__isl_take isl_dim *dim, unsigned n);
 275 __isl_give isl_map *isl_map_lex_lt(__isl_take isl_dim *set_dim);
 276 __isl_give isl_map *isl_map_lex_le(__isl_take isl_dim *set_dim);
 277 __isl_give isl_map *isl_map_lex_gt_first(__isl_take isl_dim *dim, unsigned n);
 278 __isl_give isl_map *isl_map_lex_ge_first(__isl_take isl_dim *dim, unsigned n);
 279 __isl_give isl_map *isl_map_lex_gt(__isl_take isl_dim *set_dim);
 280 __isl_give isl_map *isl_map_lex_ge(__isl_take isl_dim *set_dim);
 281 struct isl_map *isl_map_finalize(struct isl_map *map);
 282 void isl_map_free(__isl_take isl_map *map);
 283 __isl_give isl_map *isl_map_copy(__isl_keep isl_map *map);
 284 struct isl_map *isl_map_extend(struct isl_map *base,
 285                 unsigned nparam, unsigned n_in, unsigned n_out);
 286 __isl_give isl_map *isl_map_reverse(__isl_take isl_map *map);
 287 __isl_give isl_map *isl_map_union(
 288                 __isl_take isl_map *map1,
 289                 __isl_take isl_map *map2);
 290 struct isl_map *isl_map_union_disjoint(
 291                         struct isl_map *map1, struct isl_map *map2);
 292 __isl_give isl_map *isl_map_intersect_domain(
 293                 __isl_take isl_map *map,
 294                 __isl_take isl_set *set);
 295 __isl_give isl_map *isl_map_intersect_range(
 296                 __isl_take isl_map *map,
 297                 __isl_take isl_set *set);
 298 __isl_give isl_map *isl_map_apply_domain(
 299                 __isl_take isl_map *map1,
 300                 __isl_take isl_map *map2);
 301 __isl_give isl_map *isl_map_apply_range(
 302                 __isl_take isl_map *map1,
 303                 __isl_take isl_map *map2);
 304 struct isl_map *isl_map_product(struct isl_map *map1, struct isl_map *map2);
 305 __isl_give isl_map *isl_map_intersect(__isl_take isl_map *map1,
 306                                       __isl_take isl_map *map2);
 307 __isl_give isl_map *isl_map_subtract(
 308                 __isl_take isl_map *map1,
 309                 __isl_take isl_map *map2);
 310 struct isl_map *isl_map_fix_input_si(struct isl_map *map,
 311                 unsigned input, int value);
 312 struct isl_map *isl_map_fix_si(struct isl_map *map,
 313                 enum isl_dim_type type, unsigned pos, int value);
 314 __isl_give isl_map *isl_map_lower_bound_si(__isl_take isl_map *map,
 315                 enum isl_dim_type type, unsigned pos, int value);
 316 struct isl_basic_set *isl_basic_map_deltas(struct isl_basic_map *bmap);
 317 struct isl_set *isl_map_deltas(struct isl_map *map);
 318 struct isl_map *isl_map_detect_equalities(struct isl_map *map);
 319 __isl_give isl_basic_map *isl_map_affine_hull(__isl_take isl_map *map);
 320 __isl_give isl_basic_map *isl_map_convex_hull(__isl_take isl_map *map);
 321 __isl_give isl_basic_map *isl_basic_map_add(__isl_take isl_basic_map *bmap,
 322                 enum isl_dim_type type, unsigned n);
 323 __isl_give isl_map *isl_map_add(__isl_take isl_map *map,
 324                 enum isl_dim_type type, unsigned n);
 325 __isl_give isl_map *isl_map_insert(__isl_take isl_map *map,
 326                 enum isl_dim_type type, unsigned pos, unsigned n);
 327 __isl_give isl_map *isl_map_move_dims(__isl_take isl_map *map,
 328         enum isl_dim_type dst_type, unsigned dst_pos,
 329         enum isl_dim_type src_type, unsigned src_pos, unsigned n);
 330 __isl_give isl_basic_map *isl_basic_map_project_out(
 331                 __isl_take isl_basic_map *bmap,
 332                 enum isl_dim_type type, unsigned first, unsigned n);
 333 __isl_give isl_map *isl_map_project_out(__isl_take isl_map *map,
 334                 enum isl_dim_type type, unsigned first, unsigned n);
 335 struct isl_map *isl_map_remove(struct isl_map *map,
 336         enum isl_dim_type type, unsigned first, unsigned n);
 337 struct isl_map *isl_map_remove_inputs(struct isl_map *map,
 338         unsigned first, unsigned n);
 339
 340 __isl_give isl_set *isl_map_domain(__isl_take isl_map *bmap);
 341 __isl_give isl_set *isl_map_range(__isl_take isl_map *map);
 342 __isl_give isl_map *isl_map_from_basic_map(__isl_take isl_basic_map *bmap);
 343 __isl_give isl_map *isl_map_from_domain(__isl_take isl_set *set);
 344 struct isl_map *isl_map_from_range(struct isl_set *set);
 345 __isl_give isl_map *isl_map_from_domain_and_range(__isl_take isl_set *domain,
 346         __isl_take isl_set *range);
 347 struct isl_map *isl_map_from_set(struct isl_set *set, struct isl_dim *dim);
 348 struct isl_set *isl_set_from_map(struct isl_map *map);
 349 __isl_give isl_basic_map *isl_map_sample(__isl_take isl_map *map);
 350
 351 int isl_map_fast_is_empty(__isl_keep isl_map *map);
 352 int isl_map_fast_is_universe(__isl_keep isl_map *map);
 353 int isl_map_is_empty(__isl_keep isl_map *map);
 354 int isl_map_is_subset(__isl_keep isl_map *map1, __isl_keep isl_map *map2);
 355 int isl_map_is_strict_subset(__isl_keep isl_map *map1, __isl_keep isl_map *map2);
 356 int isl_map_is_equal(__isl_keep isl_map *map1, __isl_keep isl_map *map2);
 357 int isl_map_is_single_valued(__isl_keep isl_map *map);
 358
 359 __isl_give isl_map *isl_map_make_disjoint(__isl_take isl_map *map);
 360 __isl_give isl_map *isl_basic_map_compute_divs(__isl_take isl_basic_map *bmap);
 361 __isl_give isl_map *isl_map_compute_divs(__isl_take isl_map *map);
 362 __isl_give isl_map *isl_map_align_divs(__isl_take isl_map *map);
 363
 364 void isl_map_dump(__isl_keep isl_map *map, FILE *out, int indent);
 365
 366 int isl_map_fast_input_is_fixed(struct isl_map *map,
 367                 unsigned in, isl_int *val);
 368 int isl_map_fast_is_fixed(struct isl_map *map,
 369         enum isl_dim_type type, unsigned pos, isl_int *val);
 370
 371 __isl_give isl_basic_map *isl_basic_map_gist(__isl_take isl_basic_map *bmap,
 372         __isl_take isl_basic_map *context);
 373 __isl_give isl_map *isl_map_gist(__isl_take isl_map *map,
 374         __isl_take isl_map *context);
 375 __isl_give isl_map *isl_map_gist_basic_map(__isl_take isl_map *map,
 376         __isl_take isl_basic_map *context);
 377
 378 __isl_give isl_map *isl_map_coalesce(__isl_take isl_map *map);
 379
 380 int isl_map_fast_is_equal(__isl_keep isl_map *map1, __isl_keep isl_map *map2);
 381
 382 int isl_map_foreach_basic_map(__isl_keep isl_map *map,
 383         int (*fn)(__isl_take isl_basic_map *bmap, void *user), void *user);
 384
 385 __isl_give isl_map *isl_set_lifting(__isl_take isl_set *set);
 386
 387 __isl_give isl_map *isl_map_power(__isl_take isl_map *map, unsigned param,
 388         int *exact);
 389 __isl_give isl_map *isl_map_transitive_closure(__isl_take isl_map *map,
 390         int *exact);
 391
 392 #if defined(__cplusplus)
 393 }
 394 #endif
 395
 396 #endif