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      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_SORTED		(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_SORTED		(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_constraints(
    124 	__isl_take isl_basic_set *base, unsigned n_eq, unsigned n_ineq);
    125 __isl_give isl_basic_set *isl_basic_set_finalize(
    126 	__isl_take isl_basic_set *bset);
    127 __isl_give isl_basic_set *isl_basic_set_dup(__isl_keep isl_basic_set *bset);
    128 __isl_give isl_basic_set *isl_basic_set_simplify(
    129 	__isl_take isl_basic_set *bset);
    130 
    131 __isl_give isl_basic_map *isl_basic_map_alloc(isl_ctx *ctx,
    132 	unsigned nparam, unsigned in, unsigned out, unsigned extra,
    133 	unsigned n_eq, unsigned n_ineq);
    134 __isl_give isl_basic_map *isl_basic_map_mark_final(
    135 	__isl_take isl_basic_map *bmap);
    136 __isl_give isl_basic_map *isl_basic_map_finalize(
    137 	__isl_take isl_basic_map *bmap);
    138 __isl_give isl_basic_map *isl_basic_map_extend_constraints(
    139 	__isl_take isl_basic_map *base, unsigned n_eq, unsigned n_ineq);
    140 __isl_give isl_basic_map *isl_basic_map_simplify(
    141 	__isl_take isl_basic_map *bmap);
    142 
    143 __isl_give isl_set *isl_set_add_basic_set(__isl_take isl_set *set,
    144 	__isl_take isl_basic_set *bset);
    145 
    146 __isl_give isl_map *isl_map_add_basic_map(__isl_take isl_map *map,
    147 	__isl_take isl_basic_map *bmap);
    148 __isl_give isl_map *isl_map_dup(__isl_keep isl_map *map);
    149 
    150 __isl_give isl_basic_set *isl_basic_set_from_underlying_set(
    151 	__isl_take isl_basic_set *bset, __isl_take isl_basic_set *like);
    152 
    153 __isl_give isl_map *isl_map_realign(__isl_take isl_map *map,
    154 	__isl_take isl_reordering *r);
    155 __isl_give isl_set *isl_set_realign(__isl_take isl_set *set,
    156 	__isl_take isl_reordering *r);
    157 
    158 __isl_give isl_basic_map *isl_basic_map_reset(__isl_take isl_basic_map *bmap,
    159 	enum isl_dim_type type);
    160 __isl_give isl_map *isl_map_reset(__isl_take isl_map *map,
    161 	enum isl_dim_type type);
    162 
    163 __isl_keep isl_space *isl_basic_map_peek_space(
    164 	__isl_keep const isl_basic_map *bmap);
    165 __isl_keep isl_space *isl_basic_set_peek_space(__isl_keep isl_basic_set *bset);
    166 __isl_keep isl_space *isl_map_peek_space(__isl_keep const isl_map *map);
    167 __isl_keep isl_space *isl_set_peek_space(__isl_keep isl_set *set);
    168 
    169 __isl_give isl_basic_set *isl_basic_set_reset_space(
    170 	__isl_take isl_basic_set *bset, __isl_take isl_space *space);
    171 __isl_give isl_basic_map *isl_basic_map_reset_space(
    172 	__isl_take isl_basic_map *bmap, __isl_take isl_space *space);
    173 __isl_give isl_map *isl_map_reset_space(__isl_take isl_map *map,
    174 	__isl_take isl_space *space);
    175 __isl_give isl_map *isl_map_reset_equal_dim_space(__isl_take isl_map *map,
    176 	__isl_take isl_space *space);
    177 
    178 isl_size isl_basic_map_var_offset(__isl_keep isl_basic_map *bmap,
    179 	enum isl_dim_type type);
    180 isl_size isl_basic_set_var_offset(__isl_keep isl_basic_set *bset,
    181 	enum isl_dim_type type);
    182 unsigned isl_basic_map_offset(__isl_keep isl_basic_map *bmap,
    183 					enum isl_dim_type type);
    184 unsigned isl_basic_set_offset(__isl_keep isl_basic_set *bset,
    185 					enum isl_dim_type type);
    186 
    187 isl_bool isl_basic_map_may_be_set(__isl_keep isl_basic_map *bmap);
    188 int isl_map_may_be_set(__isl_keep isl_map *map);
    189 isl_bool isl_map_compatible_domain(__isl_keep isl_map *map,
    190 	__isl_keep isl_set *set);
    191 isl_bool isl_basic_map_compatible_domain(__isl_keep isl_basic_map *bmap,
    192 	__isl_keep isl_basic_set *bset);
    193 isl_bool isl_basic_map_compatible_range(__isl_keep isl_basic_map *bmap,
    194 	__isl_keep isl_basic_set *bset);
    195 
    196 __isl_give isl_basic_map *isl_basic_map_extend(__isl_take isl_basic_map *base,
    197 	unsigned extra, unsigned n_eq, unsigned n_ineq);
    198 __isl_give isl_basic_set *isl_basic_set_extend(__isl_take isl_basic_set *base,
    199 	unsigned extra, unsigned n_eq, unsigned n_ineq);
    200 
    201 __isl_give isl_map *isl_map_grow(__isl_take isl_map *map, int n);
    202 __isl_give isl_set *isl_set_grow(__isl_take isl_set *set, int n);
    203 
    204 isl_bool isl_basic_set_contains(__isl_keep isl_basic_set *bset,
    205 	__isl_keep isl_vec *vec);
    206 isl_bool isl_basic_map_contains(__isl_keep isl_basic_map *bmap,
    207 	__isl_keep isl_vec *vec);
    208 
    209 __isl_give isl_basic_set *isl_basic_set_alloc_space(__isl_take isl_space *space,
    210 		unsigned extra, unsigned n_eq, unsigned n_ineq);
    211 __isl_give isl_set *isl_set_alloc_space(__isl_take isl_space *space, int n,
    212 	unsigned flags);
    213 __isl_give isl_basic_map *isl_basic_map_alloc_space(__isl_take isl_space *space,
    214 		unsigned extra, unsigned n_eq, unsigned n_ineq);
    215 __isl_give isl_map *isl_map_alloc_space(__isl_take isl_space *space, int n,
    216 	unsigned flags);
    217 
    218 int isl_basic_map_alloc_equality(__isl_keep isl_basic_map *bmap);
    219 int isl_basic_set_alloc_equality(__isl_keep isl_basic_set *bset);
    220 __isl_give isl_basic_set *isl_basic_set_free_inequality(
    221 	__isl_take isl_basic_set *bset, unsigned n);
    222 __isl_give isl_basic_map *isl_basic_map_free_equality(
    223 	__isl_take isl_basic_map *bmap, unsigned n);
    224 __isl_give isl_basic_set *isl_basic_set_free_equality(
    225 	__isl_take isl_basic_set *bset, unsigned n);
    226 int isl_basic_set_alloc_inequality(__isl_keep isl_basic_set *bset);
    227 int isl_basic_map_alloc_inequality(__isl_keep isl_basic_map *bmap);
    228 __isl_give isl_basic_map *isl_basic_map_free_inequality(
    229 	__isl_take isl_basic_map *bmap, unsigned n);
    230 int isl_basic_map_alloc_div(__isl_keep isl_basic_map *bmap);
    231 __isl_give isl_basic_map *isl_basic_map_insert_div(
    232 	__isl_take isl_basic_map *bmap, int pos, __isl_keep isl_vec *div);
    233 int isl_basic_set_alloc_div(__isl_keep isl_basic_set *bset);
    234 isl_stat isl_basic_map_free_div(__isl_keep isl_basic_map *bmap, unsigned n);
    235 __isl_give isl_basic_map *isl_basic_map_drop_div(
    236 	__isl_take isl_basic_map *bmap, unsigned div);
    237 void isl_basic_map_inequality_to_equality(
    238 		__isl_keep isl_basic_map *bmap, unsigned pos);
    239 int isl_basic_map_drop_equality(__isl_keep isl_basic_map *bmap, unsigned pos);
    240 int isl_basic_set_drop_inequality(__isl_keep isl_basic_set *bset, unsigned pos);
    241 int isl_basic_map_drop_inequality(__isl_keep isl_basic_map *bmap, unsigned pos);
    242 __isl_give isl_basic_set *isl_basic_set_add_eq(__isl_take isl_basic_set *bset,
    243 	isl_int *eq);
    244 __isl_give isl_basic_map *isl_basic_map_add_eq(__isl_take isl_basic_map *bmap,
    245 	isl_int *eq);
    246 __isl_give isl_basic_set *isl_basic_set_add_ineq(__isl_take isl_basic_set *bset,
    247 	isl_int *ineq);
    248 __isl_give isl_basic_map *isl_basic_map_add_ineq(__isl_take isl_basic_map *bmap,
    249 	isl_int *ineq);
    250 
    251 __isl_give isl_basic_set *isl_basic_set_tighten_outward(
    252 	__isl_take isl_basic_set *bset, __isl_keep isl_vec *vec);
    253 
    254 __isl_give isl_basic_map *isl_inequality_negate(__isl_take isl_basic_map *bmap,
    255 	unsigned pos);
    256 
    257 isl_bool isl_basic_map_has_single_reference(__isl_keep isl_basic_map *bmap);
    258 __isl_give isl_basic_set *isl_basic_set_cow(__isl_take isl_basic_set *bset);
    259 __isl_give isl_basic_map *isl_basic_map_cow(__isl_take isl_basic_map *bmap);
    260 __isl_give isl_set *isl_set_cow(__isl_take isl_set *set);
    261 __isl_give isl_map *isl_map_cow(__isl_take isl_map *map);
    262 
    263 uint32_t isl_basic_map_get_hash(__isl_keep isl_basic_map *bmap);
    264 
    265 __isl_give isl_set *isl_basic_set_list_union(
    266 	__isl_take isl_basic_set_list *list);
    267 
    268 __isl_give isl_basic_map *isl_basic_map_set_to_empty(
    269 	__isl_take isl_basic_map *bmap);
    270 __isl_give isl_basic_set *isl_basic_set_set_to_empty(
    271 	__isl_take isl_basic_set *bset);
    272 __isl_give isl_basic_map *isl_basic_map_swap_div(__isl_take isl_basic_map *bmap,
    273 	int a, int b);
    274 __isl_give isl_basic_map *isl_basic_map_order_divs(
    275 	__isl_take isl_basic_map *bmap);
    276 __isl_give isl_map *isl_map_order_divs(__isl_take isl_map *map);
    277 __isl_give isl_basic_map *isl_basic_map_align_divs(
    278 	__isl_take isl_basic_map *dst, __isl_keep isl_basic_map *src);
    279 __isl_give isl_map *isl_map_align_divs_to_basic_map_list(
    280 	__isl_take isl_map *map, __isl_keep isl_basic_map_list *list);
    281 __isl_give isl_basic_map_list *isl_basic_map_list_align_divs_to_basic_map(
    282 	__isl_take isl_basic_map_list *list, __isl_keep isl_basic_map *bmap);
    283 __isl_give isl_map *isl_map_align_divs_internal(__isl_take isl_map *map);
    284 __isl_give isl_basic_set *isl_basic_set_sort_divs(
    285 	__isl_take isl_basic_set *bset);
    286 __isl_give isl_basic_map *isl_basic_map_sort_divs(
    287 	__isl_take isl_basic_map *bmap);
    288 __isl_give isl_map *isl_map_sort_divs(__isl_take isl_map *map);
    289 __isl_give isl_basic_map *isl_basic_map_gauss5(__isl_take isl_basic_map *bmap,
    290 	int *progress,
    291 	isl_stat (*swap)(unsigned a, unsigned b, void *user),
    292 	isl_stat (*drop)(unsigned n, void *user), void *user);
    293 __isl_give isl_basic_map *isl_basic_map_gauss(__isl_take isl_basic_map *bmap,
    294 	int *progress);
    295 __isl_give isl_basic_set *isl_basic_set_gauss(
    296 	__isl_take isl_basic_set *bset, int *progress);
    297 int isl_basic_map_constraint_cmp(__isl_keep isl_basic_map *bmap,
    298 	isl_int *c1, isl_int *c2);
    299 __isl_give isl_basic_map *isl_basic_map_sort_constraints(
    300 	__isl_take isl_basic_map *bmap);
    301 __isl_give isl_basic_set *isl_basic_set_sort_constraints(
    302 	__isl_take isl_basic_set *bset);
    303 int isl_basic_map_plain_cmp(__isl_keep isl_basic_map *bmap1,
    304 	__isl_keep isl_basic_map *bmap2);
    305 isl_bool isl_basic_map_plain_is_equal(__isl_keep isl_basic_map *bmap1,
    306 	__isl_keep isl_basic_map *bmap2);
    307 __isl_give isl_basic_map *isl_basic_map_normalize_constraints(
    308 	__isl_take isl_basic_map *bmap);
    309 __isl_give isl_basic_set *isl_basic_set_normalize_constraints(
    310 	__isl_take isl_basic_set *bset);
    311 __isl_give isl_basic_map *isl_basic_map_implicit_equalities(
    312 	__isl_take isl_basic_map *bmap);
    313 __isl_give isl_basic_set *isl_basic_map_underlying_set(
    314 	__isl_take isl_basic_map *bmap);
    315 __isl_give isl_basic_set *isl_basic_set_underlying_set(
    316 		__isl_take isl_basic_set *bset);
    317 __isl_give isl_basic_set_list *isl_basic_map_list_underlying_set(
    318 	__isl_take isl_basic_map_list *list);
    319 __isl_give isl_set *isl_map_underlying_set(__isl_take isl_map *map);
    320 __isl_give isl_basic_map *isl_basic_map_overlying_set(
    321 	__isl_take isl_basic_set *bset, __isl_take isl_basic_map *like);
    322 __isl_give isl_basic_set *isl_basic_set_drop_constraints_involving_unknown_divs(
    323 	__isl_take isl_basic_set *bset);
    324 __isl_give isl_basic_map *isl_basic_map_drop_constraints_involving_unknown_divs(
    325 	__isl_take isl_basic_map *bmap);
    326 __isl_give isl_map *isl_map_drop_constraints_involving_unknown_divs(
    327 	__isl_take isl_map *map);
    328 __isl_give isl_basic_map *isl_basic_map_drop_constraints_involving(
    329 	__isl_take isl_basic_map *bmap, unsigned first, unsigned n);
    330 __isl_give isl_basic_set *isl_basic_set_drop_constraints_involving(
    331 	__isl_take isl_basic_set *bset, unsigned first, unsigned n);
    332 __isl_give isl_basic_set *isl_basic_set_drop(__isl_take isl_basic_set *bset,
    333 	enum isl_dim_type type, unsigned first, unsigned n);
    334 __isl_give isl_basic_map *isl_basic_map_drop(__isl_take isl_basic_map *bmap,
    335 	enum isl_dim_type type, unsigned first, unsigned n);
    336 __isl_give isl_set *isl_set_drop(__isl_take isl_set *set,
    337 	enum isl_dim_type type, unsigned first, unsigned n);
    338 __isl_give isl_basic_set *isl_basic_set_drop_dims(
    339 	__isl_take isl_basic_set *bset, unsigned first, unsigned n);
    340 __isl_give isl_map *isl_map_drop(__isl_take isl_map *map,
    341 	enum isl_dim_type type, unsigned first, unsigned n);
    342 __isl_give isl_basic_map *isl_basic_map_drop_unrelated_constraints(
    343 	__isl_take isl_basic_map *bmap, __isl_take int *group);
    344 
    345 __isl_give isl_basic_map *isl_basic_map_eliminate_pure_unit_divs(
    346 	__isl_take isl_basic_map *bmap);
    347 __isl_give isl_basic_map *isl_basic_map_remove_duplicate_constraints(
    348 	__isl_take isl_basic_map *bmap, int *progress, int detect_divs);
    349 __isl_give isl_basic_map *isl_basic_map_detect_inequality_pairs(
    350 	__isl_take isl_basic_map *bmap, int *progress);
    351 
    352 __isl_give isl_map *isl_map_remove_empty_parts(__isl_take isl_map *map);
    353 __isl_give isl_set *isl_set_remove_empty_parts(__isl_take isl_set *set);
    354 __isl_give isl_map *isl_map_remove_obvious_duplicates(__isl_take isl_map *map);
    355 
    356 __isl_give isl_set *isl_set_normalize(__isl_take isl_set *set);
    357 
    358 __isl_give isl_basic_map *isl_basic_map_eliminate_vars(
    359 	__isl_take isl_basic_map *bmap, unsigned pos, unsigned n);
    360 __isl_give isl_basic_set *isl_basic_set_eliminate_vars(
    361 	__isl_take isl_basic_set *bset, unsigned pos, unsigned n);
    362 
    363 __isl_give isl_map *isl_map_eliminate(__isl_take isl_map *map,
    364 	enum isl_dim_type type, unsigned first, unsigned n);
    365 __isl_give isl_set *isl_set_eliminate(__isl_take isl_set *set,
    366 	enum isl_dim_type type, unsigned first, unsigned n);
    367 __isl_give isl_map *isl_map_project_onto(__isl_take isl_map *map,
    368 	enum isl_dim_type type, unsigned first, unsigned n);
    369 
    370 __isl_give isl_basic_map *isl_basic_map_add_div_constraint(
    371 	__isl_take isl_basic_map *bmap, unsigned div, int sign);
    372 __isl_give isl_basic_map *isl_basic_map_add_div_constraints(
    373 	__isl_take isl_basic_map *bmap, unsigned div);
    374 __isl_give isl_basic_map *isl_basic_map_add_known_div_constraints(
    375 	__isl_take isl_basic_map *bmap);
    376 __isl_give isl_basic_map *isl_basic_map_drop_redundant_divs(
    377 	__isl_take isl_basic_map *bmap);
    378 
    379 __isl_give isl_basic_set *isl_basic_set_recession_cone(
    380 	__isl_take isl_basic_set *bset);
    381 __isl_give isl_basic_set *isl_basic_set_lineality_space(
    382 	__isl_take isl_basic_set *bset);
    383 __isl_give isl_basic_set *isl_set_combined_lineality_space(
    384 	__isl_take isl_set *set);
    385 
    386 __isl_give isl_basic_set *isl_basic_set_set_integral(
    387 	__isl_take isl_basic_set *bset);
    388 __isl_give isl_basic_set *isl_basic_set_set_rational(
    389 	__isl_take isl_basic_set *bset);
    390 __isl_give isl_set *isl_set_set_rational(__isl_take isl_set *set);
    391 __isl_give isl_basic_map *isl_basic_map_set_rational(
    392 	__isl_take isl_basic_map *bmap);
    393 __isl_give isl_map *isl_map_set_rational(__isl_take isl_map *map);
    394 
    395 isl_bool isl_map_is_rational(__isl_keep isl_map *map);
    396 isl_bool isl_set_is_rational(__isl_keep isl_set *set);
    397 
    398 isl_bool isl_map_has_rational(__isl_keep isl_map *map);
    399 isl_bool isl_set_has_rational(__isl_keep isl_set *set);
    400 
    401 __isl_give isl_basic_map *isl_basic_map_from_multi_aff2(
    402 	__isl_take isl_multi_aff *maff, int rational);
    403 __isl_give isl_map *isl_map_from_multi_aff_internal(
    404 	__isl_take isl_multi_aff *ma);
    405 __isl_give isl_map *isl_map_from_pw_aff_internal(__isl_take isl_pw_aff *pa);
    406 __isl_give isl_map *isl_map_from_pw_multi_aff_internal(
    407 	__isl_take isl_pw_multi_aff *pma);
    408 
    409 struct isl_mat;
    410 
    411 __isl_give isl_basic_set *isl_basic_set_preimage(
    412 	__isl_take isl_basic_set *bset, __isl_take isl_mat *mat);
    413 __isl_give isl_set *isl_set_preimage(
    414 	__isl_take isl_set *set, __isl_take isl_mat *mat);
    415 
    416 __isl_give isl_basic_map *isl_basic_map_transform_dims(
    417 	__isl_take isl_basic_map *bmap, enum isl_dim_type type, unsigned first,
    418 	__isl_take isl_mat *trans);
    419 __isl_give isl_basic_set *isl_basic_set_transform_dims(
    420 	__isl_take isl_basic_set *bset, enum isl_dim_type type, unsigned first,
    421 	__isl_take isl_mat *trans);
    422 
    423 isl_int *isl_set_wrap_facet(__isl_keep isl_set *set,
    424 	isl_int *facet, isl_int *ridge);
    425 
    426 isl_bool isl_basic_map_contains_point(__isl_keep isl_basic_map *bmap,
    427 	__isl_keep isl_point *point);
    428 isl_bool isl_set_contains_point(__isl_keep isl_set *set,
    429 	__isl_keep isl_point *point);
    430 
    431 isl_stat isl_basic_set_vars_get_sign(__isl_keep isl_basic_set *bset,
    432 	unsigned first, unsigned n, int *signs);
    433 isl_stat isl_set_foreach_orthant(__isl_keep isl_set *set,
    434 	isl_stat (*fn)(__isl_take isl_set *orthant, int *signs, void *user),
    435 	void *user);
    436 
    437 isl_bool isl_basic_set_eq_is_stride(__isl_keep isl_basic_set *bset, int i);
    438 
    439 isl_bool isl_basic_map_is_div_constraint(__isl_keep isl_basic_map *bmap,
    440 	isl_int *constraint, unsigned div);
    441 
    442 __isl_give isl_basic_set *isl_basic_set_from_local_space(
    443 	__isl_take isl_local_space *ls);
    444 __isl_give isl_basic_map *isl_basic_map_from_local_space(
    445 	__isl_take isl_local_space *ls);
    446 __isl_give isl_basic_set *isl_basic_set_expand_divs(
    447 	__isl_take isl_basic_set *bset, __isl_take isl_mat *div, int *exp);
    448 __isl_give isl_basic_map *isl_basic_map_expand_divs(
    449 	__isl_take isl_basic_set *bmap, __isl_take isl_mat *div, int *exp);
    450 
    451 isl_size isl_basic_set_n_equality(__isl_keep isl_basic_set *bset);
    452 isl_size isl_basic_map_n_equality(__isl_keep isl_basic_map *bmap);
    453 isl_size isl_basic_set_n_inequality(__isl_keep isl_basic_set *bset);
    454 isl_size isl_basic_map_n_inequality(__isl_keep isl_basic_map *bmap);
    455 
    456 __isl_give isl_basic_map *isl_basic_map_mark_div_unknown(
    457 	__isl_take isl_basic_map *bmap, int div);
    458 isl_bool isl_basic_map_div_is_marked_unknown(__isl_keep isl_basic_map *bmap,
    459 	int div);
    460 isl_bool isl_basic_map_div_is_known(__isl_keep isl_basic_map *bmap, int div);
    461 int isl_basic_set_first_unknown_div(__isl_keep isl_basic_set *bset);
    462 int isl_basic_map_first_unknown_div(__isl_keep isl_basic_map *bmap);
    463 isl_bool isl_basic_map_divs_known(__isl_keep isl_basic_map *bmap);
    464 isl_bool isl_map_divs_known(__isl_keep isl_map *map);
    465 __isl_give isl_mat *isl_basic_set_get_divs(__isl_keep isl_basic_set *bset);
    466 __isl_give isl_mat *isl_basic_map_get_divs(__isl_keep isl_basic_map *bmap);
    467 
    468 isl_bool isl_set_every_basic_set(__isl_keep isl_set *set,
    469 	isl_bool (*test)(__isl_keep isl_basic_set *bset, void *user),
    470 	void *user);
    471 __isl_give isl_map *isl_map_inline_foreach_basic_map(__isl_take isl_map *map,
    472 	__isl_give isl_basic_map *(*fn)(__isl_take isl_basic_map *bmap));
    473 
    474 isl_stat isl_basic_set_check_no_params(__isl_keep isl_basic_set *bset);
    475 isl_stat isl_basic_set_check_no_locals(__isl_keep isl_basic_set *bset);
    476 
    477 isl_stat isl_basic_set_check_range(__isl_keep isl_basic_set *bset,
    478 	enum isl_dim_type type, unsigned first, unsigned n);
    479 isl_stat isl_set_check_range(__isl_keep isl_set *set,
    480 	enum isl_dim_type type, unsigned first, unsigned n);
    481 isl_stat isl_basic_map_check_range(__isl_keep isl_basic_map *bmap,
    482 	enum isl_dim_type type, unsigned first, unsigned n);
    483 isl_stat isl_map_check_named_params(__isl_keep isl_map *map);
    484 
    485 isl_bool isl_map_has_equal_params(__isl_keep isl_map *map1,
    486 	__isl_keep isl_map *map2);
    487 isl_bool isl_basic_set_space_has_equal_params(__isl_keep isl_basic_set *bset,
    488 	__isl_keep isl_space *space);
    489 isl_bool isl_set_space_has_equal_params(__isl_keep isl_set *set,
    490 	__isl_keep isl_space *space);
    491 isl_bool isl_map_space_has_equal_params(__isl_keep isl_map *map,
    492 	__isl_keep isl_space *space);
    493 
    494 isl_stat isl_map_align_params_bin(__isl_keep isl_map **map1,
    495 	__isl_keep isl_map **map2);
    496 isl_stat isl_map_align_params_set(__isl_keep isl_map **map,
    497 	__isl_keep isl_set **set);
    498 isl_bool isl_map_align_params_map_map_and_test(__isl_keep isl_map *map1,
    499 	__isl_keep isl_map *map2,
    500 	isl_bool (*fn)(__isl_keep isl_map *map1, __isl_keep isl_map *map2));
    501 
    502 __isl_give isl_set *isl_set_substitute(__isl_take isl_set *set,
    503 	unsigned pos, __isl_keep isl_aff *subs);
    504 
    505 __isl_give isl_set *isl_set_gist_params_basic_set(__isl_take isl_set *set,
    506 	__isl_take isl_basic_set *context);
    507 
    508 isl_bool isl_map_compatible_range(__isl_keep isl_map *map,
    509 	__isl_keep isl_set *set);
    510 
    511 isl_bool isl_basic_map_plain_is_non_empty(__isl_keep isl_basic_map *bmap);
    512 isl_bool isl_basic_map_plain_is_single_valued(__isl_keep isl_basic_map *bmap);
    513 
    514 isl_bool isl_map_is_set(__isl_keep isl_map *map);
    515 isl_bool isl_map_is_params(__isl_keep isl_map *map);
    516 
    517 isl_bool isl_basic_set_plain_dim_is_fixed(__isl_keep isl_basic_set *bset,
    518 	unsigned dim, isl_int *val);
    519 
    520 __isl_give isl_set *isl_set_plain_gist_basic_set(__isl_take isl_set *set,
    521 	__isl_take isl_basic_set *context);
    522 __isl_give isl_map *isl_map_plain_gist_basic_map(__isl_take isl_map *map,
    523 	__isl_take isl_basic_map *context);
    524 __isl_give isl_map *isl_map_plain_gist(__isl_take isl_map *map,
    525 	__isl_take isl_map *context);
    526 
    527 __isl_give isl_basic_set *isl_basic_set_plain_affine_hull(
    528 	__isl_take isl_basic_set *bset);
    529 __isl_give isl_basic_map *isl_basic_map_plain_affine_hull(
    530 	__isl_take isl_basic_map *bmap);
    531 
    532 isl_stat isl_basic_set_dim_residue_class(__isl_keep isl_basic_set *bset,
    533 	int pos, isl_int *modulo, isl_int *residue);
    534 isl_stat isl_set_dim_residue_class(__isl_keep isl_set *set,
    535 	int pos, isl_int *modulo, isl_int *residue);
    536 
    537 __isl_give isl_basic_set *isl_basic_set_fix(__isl_take isl_basic_set *bset,
    538 	enum isl_dim_type type, unsigned pos, isl_int value);
    539 __isl_give isl_basic_map *isl_basic_map_fix(__isl_take isl_basic_map *bmap,
    540 	enum isl_dim_type type, unsigned pos, isl_int value);
    541 __isl_give isl_set *isl_set_fix(__isl_take isl_set *set,
    542 	enum isl_dim_type type, unsigned pos, isl_int value);
    543 isl_bool isl_map_plain_is_fixed(__isl_keep isl_map *map,
    544 	enum isl_dim_type type, unsigned pos, isl_int *val);
    545 
    546 int isl_basic_map_output_defining_equality(__isl_keep isl_basic_map *bmap,
    547 	int pos, int *div, int *ineq);
    548 
    549 __isl_give isl_basic_map *isl_basic_map_reduce_coefficients(
    550 	__isl_take isl_basic_map *bmap);
    551 
    552 __isl_give isl_basic_map *isl_basic_map_shift_div(
    553 	__isl_take isl_basic_map *bmap, int div, int pos, isl_int shift);
    554 
    555 int isl_basic_set_count_upto(__isl_keep isl_basic_set *bset,
    556 	isl_int max, isl_int *count);
    557 int isl_set_count_upto(__isl_keep isl_set *set, isl_int max, isl_int *count);
    558 
    559 isl_bool isl_map_space_tuple_is_equal(__isl_keep isl_map *map,
    560 	enum isl_dim_type type1, __isl_keep isl_space *space,
    561 	enum isl_dim_type type2);
    562 isl_bool isl_map_tuple_is_equal(__isl_keep isl_map *map1,
    563 	enum isl_dim_type type1, __isl_keep isl_map *map2,
    564 	enum isl_dim_type type2);
    565 isl_bool isl_map_has_space(__isl_keep isl_map *map,
    566 	__isl_keep isl_space *space);
    567 isl_bool isl_map_has_space_tuples(__isl_keep isl_map *map,
    568 	__isl_keep isl_space *space);
    569 
    570 isl_bool isl_basic_map_is_transformation(__isl_keep isl_basic_map *bmap);
    571 isl_stat isl_map_check_transformation(__isl_keep isl_map *map);
    572 isl_stat isl_basic_set_check_equal_space(__isl_keep isl_basic_set *bset1,
    573 	__isl_keep isl_basic_set *bset2);
    574 isl_stat isl_basic_map_check_equal_space(__isl_keep isl_basic_map *bmap1,
    575 	__isl_keep isl_basic_map *bmap2);
    576 isl_stat isl_set_basic_set_check_equal_space(__isl_keep isl_set *set,
    577 	__isl_keep isl_basic_set *bset);
    578 isl_stat isl_map_basic_map_check_equal_space(__isl_keep isl_map *map,
    579 	__isl_keep isl_basic_map *bmap);
    580 isl_stat isl_map_check_equal_space(__isl_keep isl_map *map1,
    581 	__isl_keep isl_map *map2);
    582 
    583 isl_bool isl_basic_map_applies_range(__isl_keep isl_basic_map *bmap1,
    584 	__isl_keep isl_basic_map *bmap2);
    585 
    586 __isl_give isl_vec *isl_basic_map_inequality_extract_output_upper_bound(
    587 	__isl_keep isl_basic_map *bmap, int ineq, int pos);
    588 
    589 isl_size isl_basic_map_find_output_upper_div_constraint(
    590 	__isl_keep isl_basic_map *bmap, int pos);
    591 
    592 __isl_give isl_mat *isl_basic_set_extract_equalities(
    593 	__isl_keep isl_basic_set *bset);
    594 
    595 isl_bool isl_basic_map_equal_div_expr_part(__isl_keep isl_basic_map *bmap1,
    596 	int pos1, __isl_keep isl_basic_map *bmap2, int pos2,
    597 	unsigned first, unsigned n);
    598 isl_bool isl_basic_map_equal_div_expr_except_constant(
    599 	__isl_keep isl_basic_map *bmap1, int pos1,
    600 	__isl_keep isl_basic_map *bmap2, int pos2);
    601 __isl_give isl_basic_map *isl_basic_map_set_div_expr_constant_num_si_inplace(
    602 	__isl_take isl_basic_map *bmap, int div, int value);
    603 
    604 #endif
    605