isl_map_private.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_PRIVATE_H
  11 #define ISL_MAP_PRIVATE_H
  12
  13 #include <isl/set.h>
  14 #include <isl/map.h>
  15 #include <isl_reordering.h>
  16 #include <isl/vec.h>
  17
  18 /* A "basic map" is a relation between two sets of variables,
  19  * called the "in" and "out" variables.
  20  *
  21  * It is implemented as a set with two extra fields:
  22  * n_in is the number of in variables
  23  * n_out is the number of out variables
  24  * n_in + n_out should be equal to set.dim
  25  */
  26 struct isl_basic_map {
  27         int ref;
  28 #define ISL_BASIC_MAP_FINAL             (1 << 0)
  29 #define ISL_BASIC_MAP_EMPTY             (1 << 1)
  30 #define ISL_BASIC_MAP_NO_IMPLICIT       (1 << 2)
  31 #define ISL_BASIC_MAP_NO_REDUNDANT      (1 << 3)
  32 #define ISL_BASIC_MAP_RATIONAL          (1 << 4)
  33 #define ISL_BASIC_MAP_NORMALIZED        (1 << 5)
  34 #define ISL_BASIC_MAP_NORMALIZED_DIVS   (1 << 6)
  35 #define ISL_BASIC_MAP_ALL_EQUALITIES    (1 << 7)
  36         unsigned flags;
  37
  38         struct isl_ctx *ctx;
  39
  40         struct isl_dim *dim;
  41         unsigned extra;
  42
  43         unsigned n_eq;
  44         unsigned n_ineq;
  45
  46         size_t c_size;
  47         isl_int **eq;
  48         isl_int **ineq;
  49
  50         unsigned n_div;
  51
  52         isl_int **div;
  53
  54         struct isl_vec *sample;
  55
  56         struct isl_blk block;
  57         struct isl_blk block2;
  58 };
  59
  60 /* A "basic set" is a basic map with a zero-dimensional
  61  * domain.
  62  */
  63 struct isl_basic_set {
  64         int ref;
  65 #define ISL_BASIC_SET_FINAL             (1 << 0)
  66 #define ISL_BASIC_SET_EMPTY             (1 << 1)
  67 #define ISL_BASIC_SET_NO_IMPLICIT       (1 << 2)
  68 #define ISL_BASIC_SET_NO_REDUNDANT      (1 << 3)
  69 #define ISL_BASIC_SET_RATIONAL          (1 << 4)
  70 #define ISL_BASIC_SET_NORMALIZED        (1 << 5)
  71 #define ISL_BASIC_SET_NORMALIZED_DIVS   (1 << 6)
  72 #define ISL_BASIC_SET_ALL_EQUALITIES    (1 << 7)
  73         unsigned flags;
  74
  75         struct isl_ctx *ctx;
  76
  77         struct isl_dim *dim;
  78         unsigned extra;
  79
  80         unsigned n_eq;
  81         unsigned n_ineq;
  82
  83         size_t c_size;
  84         isl_int **eq;
  85         isl_int **ineq;
  86
  87         unsigned n_div;
  88
  89         isl_int **div;
  90
  91         struct isl_vec *sample;
  92
  93         struct isl_blk block;
  94         struct isl_blk block2;
  95 };
  96
  97 /* A "map" is a (disjoint) union of basic maps.
  98  *
  99  * Currently, the isl_set structure is identical to the isl_map structure
 100  * and the library depends on this correspondence internally.
 101  * However, users should not depend on this correspondence.
 102  */
 103 struct isl_map {
 104         int ref;
 105 #define ISL_MAP_DISJOINT                (1 << 0)
 106 #define ISL_MAP_NORMALIZED              (1 << 1)
 107         unsigned flags;
 108
 109         struct isl_ctx *ctx;
 110
 111         struct isl_dim *dim;
 112
 113         int n;
 114
 115         size_t size;
 116         struct isl_basic_map *p[1];
 117 };
 118
 119 /* A "set" is a (possibly disjoint) union of basic sets.
 120  *
 121  * See the documentation of isl_map.
 122  */
 123 struct isl_set {
 124         int ref;
 125 #define ISL_SET_DISJOINT                (1 << 0)
 126 #define ISL_SET_NORMALIZED              (1 << 1)
 127         unsigned flags;
 128
 129         struct isl_ctx *ctx;
 130
 131         struct isl_dim *dim;
 132
 133         int n;
 134
 135         size_t size;
 136         struct isl_basic_set *p[1];
 137 };
 138
 139 __isl_give isl_map *isl_map_realign(__isl_take isl_map *map,
 140         __isl_take isl_reordering *r);
 141 __isl_give isl_set *isl_set_realign(__isl_take isl_set *set,
 142         __isl_take isl_reordering *r);
 143
 144 __isl_give isl_map *isl_map_reset(__isl_take isl_map *map,
 145         enum isl_dim_type type);
 146
 147 __isl_give isl_basic_map *isl_basic_map_reset_dim(
 148         __isl_take isl_basic_map *bmap, __isl_take isl_dim *dim);
 149 __isl_give isl_map *isl_map_reset_dim(__isl_take isl_map *map,
 150         __isl_take isl_dim *dim);
 151
 152 unsigned isl_basic_map_offset(struct isl_basic_map *bmap,
 153                                         enum isl_dim_type type);
 154
 155 int isl_map_compatible_domain(struct isl_map *map, struct isl_set *set);
 156 int isl_basic_map_compatible_domain(struct isl_basic_map *bmap,
 157                 struct isl_basic_set *bset);
 158 int isl_basic_map_compatible_range(struct isl_basic_map *bmap,
 159                 struct isl_basic_set *bset);
 160
 161 struct isl_basic_map *isl_basic_map_extend_dim(struct isl_basic_map *base,
 162                 struct isl_dim *dim, unsigned extra,
 163                 unsigned n_eq, unsigned n_ineq);
 164 struct isl_basic_set *isl_basic_set_extend_dim(struct isl_basic_set *base,
 165                 struct isl_dim *dim, unsigned extra,
 166                 unsigned n_eq, unsigned n_ineq);
 167 struct isl_basic_set *isl_basic_set_add_constraints(struct isl_basic_set *bset1,
 168                 struct isl_basic_set *bset2, unsigned pos);
 169
 170 struct isl_map *isl_map_grow(struct isl_map *map, int n);
 171 struct isl_set *isl_set_grow(struct isl_set *set, int n);
 172
 173 int isl_basic_set_contains(struct isl_basic_set *bset, struct isl_vec *vec);
 174 int isl_basic_map_contains(struct isl_basic_map *bmap, struct isl_vec *vec);
 175
 176 struct isl_basic_set *isl_basic_set_alloc_dim(struct isl_dim *dim,
 177                 unsigned extra, unsigned n_eq, unsigned n_ineq);
 178 struct isl_set *isl_set_alloc_dim(struct isl_dim *dim, int n, unsigned flags);
 179 struct isl_basic_map *isl_basic_map_alloc_dim(struct isl_dim *dim,
 180                 unsigned extra, unsigned n_eq, unsigned n_ineq);
 181 struct isl_map *isl_map_alloc_dim(struct isl_dim *dim, int n, unsigned flags);
 182
 183 unsigned isl_basic_map_total_dim(const struct isl_basic_map *bmap);
 184
 185 int isl_basic_map_alloc_equality(struct isl_basic_map *bmap);
 186 int isl_basic_set_alloc_equality(struct isl_basic_set *bset);
 187 int isl_basic_set_free_inequality(struct isl_basic_set *bset, unsigned n);
 188 int isl_basic_map_free_equality(struct isl_basic_map *bmap, unsigned n);
 189 int isl_basic_set_free_equality(struct isl_basic_set *bset, unsigned n);
 190 int isl_basic_set_alloc_inequality(struct isl_basic_set *bset);
 191 int isl_basic_map_alloc_inequality(struct isl_basic_map *bmap);
 192 int isl_basic_map_free_inequality(struct isl_basic_map *bmap, unsigned n);
 193 int isl_basic_map_alloc_div(struct isl_basic_map *bmap);
 194 int isl_basic_set_alloc_div(struct isl_basic_set *bset);
 195 int isl_basic_map_free_div(struct isl_basic_map *bmap, unsigned n);
 196 int isl_basic_set_free_div(struct isl_basic_set *bset, unsigned n);
 197 void isl_basic_map_inequality_to_equality(
 198                 struct isl_basic_map *bmap, unsigned pos);
 199 int isl_basic_map_drop_equality(struct isl_basic_map *bmap, unsigned pos);
 200 int isl_basic_set_drop_equality(struct isl_basic_set *bset, unsigned pos);
 201 int isl_basic_set_drop_inequality(struct isl_basic_set *bset, unsigned pos);
 202 int isl_basic_map_drop_inequality(struct isl_basic_map *bmap, unsigned pos);
 203 __isl_give isl_basic_set *isl_basic_set_add_eq(__isl_take isl_basic_set *bset,
 204         isl_int *eq);
 205 __isl_give isl_basic_map *isl_basic_map_add_eq(__isl_take isl_basic_map *bmap,
 206         isl_int *eq);
 207 __isl_give isl_basic_set *isl_basic_set_add_ineq(__isl_take isl_basic_set *bset,
 208         isl_int *ineq);
 209 __isl_give isl_basic_map *isl_basic_map_add_ineq(__isl_take isl_basic_map *bmap,
 210         isl_int *ineq);
 211
 212 int isl_inequality_negate(struct isl_basic_map *bmap, unsigned pos);
 213
 214 struct isl_basic_set *isl_basic_set_cow(struct isl_basic_set *bset);
 215 struct isl_basic_map *isl_basic_map_cow(struct isl_basic_map *bmap);
 216 struct isl_set *isl_set_cow(struct isl_set *set);
 217 struct isl_map *isl_map_cow(struct isl_map *map);
 218
 219 struct isl_basic_map *isl_basic_map_set_to_empty(struct isl_basic_map *bmap);
 220 struct isl_basic_set *isl_basic_set_set_to_empty(struct isl_basic_set *bset);
 221 struct isl_basic_set *isl_basic_set_order_divs(struct isl_basic_set *bset);
 222 void isl_basic_map_swap_div(struct isl_basic_map *bmap, int a, int b);
 223 struct isl_basic_map *isl_basic_map_order_divs(struct isl_basic_map *bmap);
 224 __isl_give isl_map *isl_map_order_divs(__isl_take isl_map *map);
 225 struct isl_basic_map *isl_basic_map_align_divs(
 226                 struct isl_basic_map *dst, struct isl_basic_map *src);
 227 struct isl_basic_set *isl_basic_set_align_divs(
 228                 struct isl_basic_set *dst, struct isl_basic_set *src);
 229 struct isl_basic_map *isl_basic_map_gauss(
 230         struct isl_basic_map *bmap, int *progress);
 231 struct isl_basic_set *isl_basic_set_gauss(
 232         struct isl_basic_set *bset, int *progress);
 233 __isl_give isl_basic_set *isl_basic_set_sort_constraints(
 234         __isl_take isl_basic_set *bset);
 235 int isl_basic_map_fast_cmp(const __isl_keep isl_basic_map *bmap1,
 236         const __isl_keep isl_basic_map *bmap2);
 237 int isl_basic_set_fast_is_equal(__isl_keep isl_basic_set *bset1,
 238         __isl_keep isl_basic_set *bset2);
 239 int isl_basic_map_fast_is_equal(__isl_keep isl_basic_map *bmap1,
 240         __isl_keep isl_basic_map *bmap2);
 241 struct isl_basic_map *isl_basic_map_normalize_constraints(
 242         struct isl_basic_map *bmap);
 243 struct isl_basic_set *isl_basic_set_normalize_constraints(
 244         struct isl_basic_set *bset);
 245 struct isl_basic_map *isl_basic_map_implicit_equalities(
 246                                                 struct isl_basic_map *bmap);
 247 struct isl_basic_set *isl_basic_map_underlying_set(struct isl_basic_map *bmap);
 248 __isl_give isl_basic_set *isl_basic_set_underlying_set(
 249                 __isl_take isl_basic_set *bset);
 250 struct isl_set *isl_map_underlying_set(struct isl_map *map);
 251 struct isl_basic_map *isl_basic_map_overlying_set(struct isl_basic_set *bset,
 252         struct isl_basic_map *like);
 253 __isl_give isl_basic_set *isl_basic_set_drop_constraints_involving(
 254         __isl_take isl_basic_set *bset, unsigned first, unsigned n);
 255 __isl_give isl_basic_set *isl_basic_set_drop(__isl_take isl_basic_set *bset,
 256         enum isl_dim_type type, unsigned first, unsigned n);
 257 struct isl_basic_map *isl_basic_map_drop(struct isl_basic_map *bmap,
 258         enum isl_dim_type type, unsigned first, unsigned n);
 259 struct isl_set *isl_set_drop(struct isl_set *set,
 260         enum isl_dim_type type, unsigned first, unsigned n);
 261 struct isl_basic_set *isl_basic_set_drop_dims(
 262                 struct isl_basic_set *bset, unsigned first, unsigned n);
 263 struct isl_set *isl_set_drop_dims(
 264                 struct isl_set *set, unsigned first, unsigned n);
 265 struct isl_map *isl_map_drop_inputs(
 266                 struct isl_map *map, unsigned first, unsigned n);
 267 struct isl_map *isl_map_drop(struct isl_map *map,
 268         enum isl_dim_type type, unsigned first, unsigned n);
 269
 270 struct isl_map *isl_map_remove_empty_parts(struct isl_map *map);
 271 struct isl_set *isl_set_remove_empty_parts(struct isl_set *set);
 272
 273 struct isl_set *isl_set_normalize(struct isl_set *set);
 274
 275 struct isl_set *isl_set_drop_vars(
 276                 struct isl_set *set, unsigned first, unsigned n);
 277
 278 struct isl_basic_map *isl_basic_map_eliminate_vars(
 279         struct isl_basic_map *bmap, unsigned pos, unsigned n);
 280 struct isl_basic_set *isl_basic_set_eliminate_vars(
 281         struct isl_basic_set *bset, unsigned pos, unsigned n);
 282
 283 __isl_give isl_map *isl_map_eliminate(__isl_take isl_map *map,
 284         enum isl_dim_type type, unsigned first, unsigned n);
 285 __isl_give isl_set *isl_set_eliminate(__isl_take isl_set *set,
 286         enum isl_dim_type type, unsigned first, unsigned n);
 287
 288 int isl_basic_set_constraint_is_redundant(struct isl_basic_set **bset,
 289         isl_int *c, isl_int *opt_n, isl_int *opt_d);
 290
 291 int isl_basic_map_add_div_constraints(struct isl_basic_map *bmap, unsigned div);
 292 struct isl_basic_map *isl_basic_map_drop_redundant_divs(
 293         struct isl_basic_map *bmap);
 294 struct isl_basic_set *isl_basic_set_drop_redundant_divs(
 295         struct isl_basic_set *bset);
 296
 297 struct isl_basic_set *isl_basic_set_recession_cone(struct isl_basic_set *bset);
 298 struct isl_basic_set *isl_basic_set_lineality_space(struct isl_basic_set *bset);
 299
 300 struct isl_basic_set *isl_basic_set_set_rational(struct isl_basic_set *bset);
 301
 302 struct isl_mat;
 303
 304 struct isl_basic_set *isl_basic_set_preimage(struct isl_basic_set *bset,
 305         struct isl_mat *mat);
 306 struct isl_set *isl_set_preimage(struct isl_set *set, struct isl_mat *mat);
 307
 308 isl_int *isl_set_wrap_facet(__isl_keep isl_set *set,
 309         isl_int *facet, isl_int *ridge);
 310
 311 int isl_basic_map_contains_point(__isl_keep isl_basic_map *bmap,
 312         __isl_keep isl_point *point);
 313 int isl_set_contains_point(__isl_keep isl_set *set, __isl_keep isl_point *point);
 314
 315 int isl_basic_set_vars_get_sign(__isl_keep isl_basic_set *bset,
 316         unsigned first, unsigned n, int *signs);
 317 int isl_set_foreach_orthant(__isl_keep isl_set *set,
 318         int (*fn)(__isl_take isl_set *orthant, int *signs, void *user),
 319         void *user);
 320
 321 int isl_basic_set_add_div_constraints_var(__isl_keep isl_basic_set *bset,
 322         unsigned pos, isl_int *div);
 323 int isl_basic_map_is_div_constraint(__isl_keep isl_basic_map *bmap,
 324         isl_int *constraint, unsigned div);
 325
 326 #endif