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 	enum isl_dim_type type, 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 
566 isl_bool isl_basic_map_is_transformation(__isl_keep isl_basic_map *bmap);
567 isl_stat isl_map_check_transformation(__isl_keep isl_map *map);
568 isl_stat isl_basic_set_check_equal_space(__isl_keep isl_basic_set *bset1,
569 	__isl_keep isl_basic_set *bset2);
570 isl_stat isl_basic_map_check_equal_space(__isl_keep isl_basic_map *bmap1,
571 	__isl_keep isl_basic_map *bmap2);
572 isl_stat isl_set_basic_set_check_equal_space(__isl_keep isl_set *set,
573 	__isl_keep isl_basic_set *bset);
574 isl_stat isl_map_basic_map_check_equal_space(__isl_keep isl_map *map,
575 	__isl_keep isl_basic_map *bmap);
576 isl_stat isl_map_check_equal_space(__isl_keep isl_map *map1,
577 	__isl_keep isl_map *map2);
578 
579 isl_bool isl_basic_map_applies_range(__isl_keep isl_basic_map *bmap1,
580 	__isl_keep isl_basic_map *bmap2);
581 
582 __isl_give isl_mat *isl_basic_set_extract_equalities(
583 	__isl_keep isl_basic_set *bset);
584 
585 isl_bool isl_basic_map_equal_div_expr_part(__isl_keep isl_basic_map *bmap1,
586 	int pos1, __isl_keep isl_basic_map *bmap2, int pos2,
587 	unsigned first, unsigned n);
588 isl_bool isl_basic_map_equal_div_expr_except_constant(
589 	__isl_keep isl_basic_map *bmap1, int pos1,
590 	__isl_keep isl_basic_map *bmap2, int pos2);
591 __isl_give isl_basic_map *isl_basic_map_set_div_expr_constant_num_si_inplace(
592 	__isl_take isl_basic_map *bmap, int div, int value);
593 
594 #endif
595