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1 office 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 #define isl_basic_set isl_basic_map
14 #define isl_set isl_map
15 #define isl_basic_set_list isl_basic_map_list
16 #include <isl/set.h>
17 #include <isl/map.h>
18 #include <isl_reordering.h>
19 #include <isl/vec.h>
20  
21 /* A "basic map" is a relation between two sets of variables,
22 * called the "in" and "out" variables.
23 * A "basic set" is a basic map with a zero-dimensional
24 * domain.
25 *
26 * It is implemented as a set with two extra fields:
27 * n_in is the number of in variables
28 * n_out is the number of out variables
29 * n_in + n_out should be equal to set.dim
30 */
31 struct isl_basic_map {
32 int ref;
33 #define ISL_BASIC_MAP_FINAL (1 << 0)
34 #define ISL_BASIC_MAP_EMPTY (1 << 1)
35 #define ISL_BASIC_MAP_NO_IMPLICIT (1 << 2)
36 #define ISL_BASIC_MAP_NO_REDUNDANT (1 << 3)
37 #define ISL_BASIC_MAP_RATIONAL (1 << 4)
38 #define ISL_BASIC_MAP_NORMALIZED (1 << 5)
39 #define ISL_BASIC_MAP_NORMALIZED_DIVS (1 << 6)
40 #define ISL_BASIC_MAP_ALL_EQUALITIES (1 << 7)
41 #define ISL_BASIC_SET_FINAL (1 << 0)
42 #define ISL_BASIC_SET_EMPTY (1 << 1)
43 #define ISL_BASIC_SET_NO_IMPLICIT (1 << 2)
44 #define ISL_BASIC_SET_NO_REDUNDANT (1 << 3)
45 #define ISL_BASIC_SET_RATIONAL (1 << 4)
46 #define ISL_BASIC_SET_NORMALIZED (1 << 5)
47 #define ISL_BASIC_SET_NORMALIZED_DIVS (1 << 6)
48 #define ISL_BASIC_SET_ALL_EQUALITIES (1 << 7)
49 unsigned flags;
50  
51 struct isl_ctx *ctx;
52  
53 isl_space *dim;
54 unsigned extra;
55  
56 unsigned n_eq;
57 unsigned n_ineq;
58  
59 size_t c_size;
60 isl_int **eq;
61 isl_int **ineq;
62  
63 unsigned n_div;
64  
65 isl_int **div;
66  
67 struct isl_vec *sample;
68  
69 struct isl_blk block;
70 struct isl_blk block2;
71 };
72  
73 /* A "map" is a (possibly disjoint) union of basic maps.
74 * A "set" is a (possibly disjoint) union of basic sets.
75 *
76 * Currently, the isl_set structure is identical to the isl_map structure
77 * and the library depends on this correspondence internally.
78 * However, users should not depend on this correspondence.
79 */
80 struct isl_map {
81 int ref;
82 #define ISL_MAP_DISJOINT (1 << 0)
83 #define ISL_MAP_NORMALIZED (1 << 1)
84 #define ISL_SET_DISJOINT (1 << 0)
85 #define ISL_SET_NORMALIZED (1 << 1)
86 unsigned flags;
87  
88 struct isl_ctx *ctx;
89  
90 isl_space *dim;
91  
92 int n;
93  
94 size_t size;
95 struct isl_basic_map *p[1];
96 };
97  
98 __isl_give isl_map *isl_map_realign(__isl_take isl_map *map,
99 __isl_take isl_reordering *r);
100 __isl_give isl_set *isl_set_realign(__isl_take isl_set *set,
101 __isl_take isl_reordering *r);
102  
103 __isl_give isl_map *isl_map_reset(__isl_take isl_map *map,
104 enum isl_dim_type type);
105  
106 __isl_give isl_basic_set *isl_basic_set_reset_space(
107 __isl_take isl_basic_set *bset, __isl_take isl_space *dim);
108 __isl_give isl_basic_map *isl_basic_map_reset_space(
109 __isl_take isl_basic_map *bmap, __isl_take isl_space *dim);
110 __isl_give isl_map *isl_map_reset_space(__isl_take isl_map *map,
111 __isl_take isl_space *dim);
112  
113 unsigned isl_basic_map_offset(struct isl_basic_map *bmap,
114 enum isl_dim_type type);
115 unsigned isl_basic_set_offset(struct isl_basic_set *bset,
116 enum isl_dim_type type);
117  
118 int isl_basic_map_may_be_set(__isl_keep isl_basic_map *bmap);
119 int isl_map_may_be_set(__isl_keep isl_map *map);
120 int isl_map_compatible_domain(struct isl_map *map, struct isl_set *set);
121 int isl_basic_map_compatible_domain(struct isl_basic_map *bmap,
122 struct isl_basic_set *bset);
123 int isl_basic_map_compatible_range(struct isl_basic_map *bmap,
124 struct isl_basic_set *bset);
125  
126 struct isl_basic_map *isl_basic_map_extend_space(struct isl_basic_map *base,
127 __isl_take isl_space *dim, unsigned extra,
128 unsigned n_eq, unsigned n_ineq);
129 struct isl_basic_set *isl_basic_set_extend_space(struct isl_basic_set *base,
130 __isl_take isl_space *dim, unsigned extra,
131 unsigned n_eq, unsigned n_ineq);
132 struct isl_basic_set *isl_basic_set_add_constraints(struct isl_basic_set *bset1,
133 struct isl_basic_set *bset2, unsigned pos);
134  
135 struct isl_map *isl_map_grow(struct isl_map *map, int n);
136 struct isl_set *isl_set_grow(struct isl_set *set, int n);
137  
138 int isl_basic_set_contains(struct isl_basic_set *bset, struct isl_vec *vec);
139 int isl_basic_map_contains(struct isl_basic_map *bmap, struct isl_vec *vec);
140  
141 __isl_give isl_basic_set *isl_basic_set_alloc_space(__isl_take isl_space *dim,
142 unsigned extra, unsigned n_eq, unsigned n_ineq);
143 __isl_give isl_set *isl_set_alloc_space(__isl_take isl_space *dim, int n,
144 unsigned flags);
145 __isl_give isl_basic_map *isl_basic_map_alloc_space(__isl_take isl_space *dim,
146 unsigned extra, unsigned n_eq, unsigned n_ineq);
147 __isl_give isl_map *isl_map_alloc_space(__isl_take isl_space *dim, int n,
148 unsigned flags);
149  
150 unsigned isl_basic_map_total_dim(const struct isl_basic_map *bmap);
151  
152 int isl_basic_map_alloc_equality(struct isl_basic_map *bmap);
153 int isl_basic_set_alloc_equality(struct isl_basic_set *bset);
154 int isl_basic_set_free_inequality(struct isl_basic_set *bset, unsigned n);
155 int isl_basic_map_free_equality(struct isl_basic_map *bmap, unsigned n);
156 int isl_basic_set_free_equality(struct isl_basic_set *bset, unsigned n);
157 int isl_basic_set_alloc_inequality(struct isl_basic_set *bset);
158 int isl_basic_map_alloc_inequality(struct isl_basic_map *bmap);
159 int isl_basic_map_free_inequality(struct isl_basic_map *bmap, unsigned n);
160 int isl_basic_map_alloc_div(struct isl_basic_map *bmap);
161 int isl_basic_set_alloc_div(struct isl_basic_set *bset);
162 int isl_basic_map_free_div(struct isl_basic_map *bmap, unsigned n);
163 int isl_basic_set_free_div(struct isl_basic_set *bset, unsigned n);
164 void isl_basic_map_inequality_to_equality(
165 struct isl_basic_map *bmap, unsigned pos);
166 int isl_basic_map_drop_equality(struct isl_basic_map *bmap, unsigned pos);
167 int isl_basic_set_drop_equality(struct isl_basic_set *bset, unsigned pos);
168 int isl_basic_set_drop_inequality(struct isl_basic_set *bset, unsigned pos);
169 int isl_basic_map_drop_inequality(struct isl_basic_map *bmap, unsigned pos);
170 __isl_give isl_basic_set *isl_basic_set_add_eq(__isl_take isl_basic_set *bset,
171 isl_int *eq);
172 __isl_give isl_basic_map *isl_basic_map_add_eq(__isl_take isl_basic_map *bmap,
173 isl_int *eq);
174 __isl_give isl_basic_set *isl_basic_set_add_ineq(__isl_take isl_basic_set *bset,
175 isl_int *ineq);
176 __isl_give isl_basic_map *isl_basic_map_add_ineq(__isl_take isl_basic_map *bmap,
177 isl_int *ineq);
178  
179 int isl_inequality_negate(struct isl_basic_map *bmap, unsigned pos);
180  
181 struct isl_basic_set *isl_basic_set_cow(struct isl_basic_set *bset);
182 struct isl_basic_map *isl_basic_map_cow(struct isl_basic_map *bmap);
183 struct isl_set *isl_set_cow(struct isl_set *set);
184 struct isl_map *isl_map_cow(struct isl_map *map);
185  
186 struct isl_basic_map *isl_basic_map_set_to_empty(struct isl_basic_map *bmap);
187 struct isl_basic_set *isl_basic_set_set_to_empty(struct isl_basic_set *bset);
188 struct isl_basic_set *isl_basic_set_order_divs(struct isl_basic_set *bset);
189 void isl_basic_map_swap_div(struct isl_basic_map *bmap, int a, int b);
190 struct isl_basic_map *isl_basic_map_order_divs(struct isl_basic_map *bmap);
191 __isl_give isl_map *isl_map_order_divs(__isl_take isl_map *map);
192 struct isl_basic_map *isl_basic_map_align_divs(
193 struct isl_basic_map *dst, struct isl_basic_map *src);
194 struct isl_basic_set *isl_basic_set_align_divs(
195 struct isl_basic_set *dst, struct isl_basic_set *src);
196 __isl_give isl_basic_map *isl_basic_map_sort_divs(
197 __isl_take isl_basic_map *bmap);
198 __isl_give isl_map *isl_map_sort_divs(__isl_take isl_map *map);
199 struct isl_basic_map *isl_basic_map_gauss(
200 struct isl_basic_map *bmap, int *progress);
201 struct isl_basic_set *isl_basic_set_gauss(
202 struct isl_basic_set *bset, int *progress);
203 __isl_give isl_basic_set *isl_basic_set_sort_constraints(
204 __isl_take isl_basic_set *bset);
205 int isl_basic_map_plain_cmp(const __isl_keep isl_basic_map *bmap1,
206 const __isl_keep isl_basic_map *bmap2);
207 int isl_set_plain_cmp(const __isl_keep isl_set *set1,
208 const __isl_keep isl_set *set2);
209 int isl_basic_set_plain_is_equal(__isl_keep isl_basic_set *bset1,
210 __isl_keep isl_basic_set *bset2);
211 int isl_basic_map_plain_is_equal(__isl_keep isl_basic_map *bmap1,
212 __isl_keep isl_basic_map *bmap2);
213 struct isl_basic_map *isl_basic_map_normalize_constraints(
214 struct isl_basic_map *bmap);
215 struct isl_basic_set *isl_basic_set_normalize_constraints(
216 struct isl_basic_set *bset);
217 struct isl_basic_map *isl_basic_map_implicit_equalities(
218 struct isl_basic_map *bmap);
219 struct isl_basic_set *isl_basic_map_underlying_set(struct isl_basic_map *bmap);
220 __isl_give isl_basic_set *isl_basic_set_underlying_set(
221 __isl_take isl_basic_set *bset);
222 struct isl_set *isl_map_underlying_set(struct isl_map *map);
223 struct isl_basic_map *isl_basic_map_overlying_set(struct isl_basic_set *bset,
224 struct isl_basic_map *like);
225 __isl_give isl_basic_set *isl_basic_set_drop_constraints_involving(
226 __isl_take isl_basic_set *bset, unsigned first, unsigned n);
227 __isl_give isl_basic_set *isl_basic_set_drop(__isl_take isl_basic_set *bset,
228 enum isl_dim_type type, unsigned first, unsigned n);
229 struct isl_basic_map *isl_basic_map_drop(struct isl_basic_map *bmap,
230 enum isl_dim_type type, unsigned first, unsigned n);
231 struct isl_set *isl_set_drop(struct isl_set *set,
232 enum isl_dim_type type, unsigned first, unsigned n);
233 struct isl_basic_set *isl_basic_set_drop_dims(
234 struct isl_basic_set *bset, unsigned first, unsigned n);
235 struct isl_set *isl_set_drop_dims(
236 struct isl_set *set, unsigned first, unsigned n);
237 struct isl_map *isl_map_drop_inputs(
238 struct isl_map *map, unsigned first, unsigned n);
239 struct isl_map *isl_map_drop(struct isl_map *map,
240 enum isl_dim_type type, unsigned first, unsigned n);
241  
242 struct isl_map *isl_map_remove_empty_parts(struct isl_map *map);
243 struct isl_set *isl_set_remove_empty_parts(struct isl_set *set);
244  
245 struct isl_set *isl_set_normalize(struct isl_set *set);
246  
247 struct isl_set *isl_set_drop_vars(
248 struct isl_set *set, unsigned first, unsigned n);
249  
250 struct isl_basic_map *isl_basic_map_eliminate_vars(
251 struct isl_basic_map *bmap, unsigned pos, unsigned n);
252 struct isl_basic_set *isl_basic_set_eliminate_vars(
253 struct isl_basic_set *bset, unsigned pos, unsigned n);
254  
255 __isl_give isl_map *isl_map_eliminate(__isl_take isl_map *map,
256 enum isl_dim_type type, unsigned first, unsigned n);
257 __isl_give isl_set *isl_set_eliminate(__isl_take isl_set *set,
258 enum isl_dim_type type, unsigned first, unsigned n);
259  
260 int isl_basic_set_constraint_is_redundant(struct isl_basic_set **bset,
261 isl_int *c, isl_int *opt_n, isl_int *opt_d);
262  
263 int isl_basic_map_add_div_constraints(struct isl_basic_map *bmap, unsigned div);
264 struct isl_basic_map *isl_basic_map_drop_redundant_divs(
265 struct isl_basic_map *bmap);
266 struct isl_basic_set *isl_basic_set_drop_redundant_divs(
267 struct isl_basic_set *bset);
268  
269 struct isl_basic_set *isl_basic_set_recession_cone(struct isl_basic_set *bset);
270 struct isl_basic_set *isl_basic_set_lineality_space(struct isl_basic_set *bset);
271  
272 struct isl_basic_set *isl_basic_set_set_rational(struct isl_basic_set *bset);
273 __isl_give isl_basic_map *isl_basic_map_set_rational(
274 __isl_take isl_basic_map *bmap);
275 __isl_give isl_map *isl_map_set_rational(__isl_take isl_map *map);
276  
277 struct isl_mat;
278  
279 struct isl_basic_set *isl_basic_set_preimage(struct isl_basic_set *bset,
280 struct isl_mat *mat);
281 struct isl_set *isl_set_preimage(struct isl_set *set, struct isl_mat *mat);
282  
283 __isl_give isl_basic_set *isl_basic_set_transform_dims(
284 __isl_take isl_basic_set *bset, enum isl_dim_type type, unsigned first,
285 __isl_take isl_mat *trans);
286  
287 isl_int *isl_set_wrap_facet(__isl_keep isl_set *set,
288 isl_int *facet, isl_int *ridge);
289  
290 int isl_basic_map_contains_point(__isl_keep isl_basic_map *bmap,
291 __isl_keep isl_point *point);
292 int isl_set_contains_point(__isl_keep isl_set *set, __isl_keep isl_point *point);
293  
294 int isl_basic_set_vars_get_sign(__isl_keep isl_basic_set *bset,
295 unsigned first, unsigned n, int *signs);
296 int isl_set_foreach_orthant(__isl_keep isl_set *set,
297 int (*fn)(__isl_take isl_set *orthant, int *signs, void *user),
298 void *user);
299  
300 int isl_basic_map_add_div_constraints_var(__isl_keep isl_basic_map *bmap,
301 unsigned pos, isl_int *div);
302 int isl_basic_set_add_div_constraints_var(__isl_keep isl_basic_set *bset,
303 unsigned pos, isl_int *div);
304 int isl_basic_map_is_div_constraint(__isl_keep isl_basic_map *bmap,
305 isl_int *constraint, unsigned div);
306 int isl_basic_set_is_div_constraint(__isl_keep isl_basic_set *bset,
307 isl_int *constraint, unsigned div);
308  
309 __isl_give isl_basic_set *isl_basic_set_from_local_space(
310 __isl_take isl_local_space *ls);
311 __isl_give isl_basic_map *isl_basic_map_from_local_space(
312 __isl_take isl_local_space *ls);
313 __isl_give isl_basic_set *isl_basic_set_expand_divs(
314 __isl_take isl_basic_set *bset, __isl_take isl_mat *div, int *exp);
315  
316 int isl_basic_map_divs_known(__isl_keep isl_basic_map *bmap);
317 __isl_give isl_mat *isl_basic_map_get_divs(__isl_keep isl_basic_map *bmap);
318  
319 __isl_give isl_map *isl_map_inline_foreach_basic_map(__isl_take isl_map *map,
320 __isl_give isl_basic_map *(*fn)(__isl_take isl_basic_map *bmap));
321  
322 __isl_give isl_map *isl_map_align_params_map_map_and(
323 __isl_take isl_map *map1, __isl_take isl_map *map2,
324 __isl_give isl_map *(*fn)(__isl_take isl_map *map1,
325 __isl_take isl_map *map2));
326 int isl_map_align_params_map_map_and_test(__isl_keep isl_map *map1,
327 __isl_keep isl_map *map2,
328 int (*fn)(__isl_keep isl_map *map1, __isl_keep isl_map *map2));
329  
330 int isl_basic_map_foreach_lexopt(__isl_keep isl_basic_map *bmap, int max,
331 int (*fn)(__isl_take isl_basic_set *dom, __isl_take isl_aff_list *list,
332 void *user),
333 void *user);
334 int isl_basic_set_foreach_lexopt(__isl_keep isl_basic_set *bset, int max,
335 int (*fn)(__isl_take isl_basic_set *dom, __isl_take isl_aff_list *list,
336 void *user),
337 void *user);
338  
339 __isl_give isl_set *isl_set_substitute(__isl_take isl_set *set,
340 enum isl_dim_type type, unsigned pos, __isl_keep isl_aff *subs);
341  
342 __isl_give isl_set *isl_set_gist_params_basic_set(__isl_take isl_set *set,
343 __isl_take isl_basic_set *context);
344  
345 int isl_map_compatible_range(__isl_keep isl_map *map, __isl_keep isl_set *set);
346  
347 int isl_basic_map_plain_is_single_valued(__isl_keep isl_basic_map *bmap);
348  
349 #endif