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isl_ast_expr_from_aff: try harder to use isl_ast_op_pdiv_{q,r}
[isl.git] / isl_test.c
blob6f4149f3be9e713946aa9833467301e2f9cdcfb7
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 #include <assert.h>
11 #include <stdio.h>
12 #include <limits.h>
13 #include <isl_ctx_private.h>
14 #include <isl_map_private.h>
15 #include <isl_aff_private.h>
16 #include <isl/set.h>
17 #include <isl/flow.h>
18 #include <isl/constraint.h>
19 #include <isl/polynomial.h>
20 #include <isl/union_map.h>
21 #include <isl_factorization.h>
22 #include <isl/schedule.h>
23 #include <isl_options_private.h>
24 #include <isl/vertices.h>
25 #include <isl/ast_build.h>
26
27 #define ARRAY_SIZE(array) (sizeof(array)/sizeof(*array))
28
29 static char *srcdir;
30
31 static char *get_filename(isl_ctx *ctx, const char *name, const char *suffix) {
32 char *filename;
33 int length;
34 char *pattern = "%s/test_inputs/%s.%s";
35
36 length = strlen(pattern) - 6 + strlen(srcdir) + strlen(name)
37 + strlen(suffix) + 1;
38 filename = isl_alloc_array(ctx, char, length);
39
40 if (!filename)
41 return NULL;
42
43 sprintf(filename, pattern, srcdir, name, suffix);
44
45 return filename;
46 }
47
48 void test_parse_map(isl_ctx *ctx, const char *str)
49 {
50 isl_map *map;
51
52 map = isl_map_read_from_str(ctx, str);
53 assert(map);
54 isl_map_free(map);
55 }
56
57 int test_parse_map_equal(isl_ctx *ctx, const char *str, const char *str2)
58 {
59 isl_map *map, *map2;
60 int equal;
61
62 map = isl_map_read_from_str(ctx, str);
63 map2 = isl_map_read_from_str(ctx, str2);
64 equal = isl_map_is_equal(map, map2);
65 isl_map_free(map);
66 isl_map_free(map2);
67
68 if (equal < 0)
69 return -1;
70 if (!equal)
71 isl_die(ctx, isl_error_unknown, "maps not equal",
72 return -1);
73
74 return 0;
75 }
76
77 void test_parse_pwqp(isl_ctx *ctx, const char *str)
78 {
79 isl_pw_qpolynomial *pwqp;
80
81 pwqp = isl_pw_qpolynomial_read_from_str(ctx, str);
82 assert(pwqp);
83 isl_pw_qpolynomial_free(pwqp);
84 }
85
86 static void test_parse_pwaff(isl_ctx *ctx, const char *str)
87 {
88 isl_pw_aff *pwaff;
89
90 pwaff = isl_pw_aff_read_from_str(ctx, str);
91 assert(pwaff);
92 isl_pw_aff_free(pwaff);
93 }
94
95 int test_parse(struct isl_ctx *ctx)
96 {
97 isl_map *map, *map2;
98 const char *str, *str2;
99
100 str = "{ [i] -> [-i] }";
101 map = isl_map_read_from_str(ctx, str);
102 assert(map);
103 isl_map_free(map);
104
105 str = "{ A[i] -> L[([i/3])] }";
106 map = isl_map_read_from_str(ctx, str);
107 assert(map);
108 isl_map_free(map);
109
110 test_parse_map(ctx, "{[[s] -> A[i]] -> [[s+1] -> A[i]]}");
111 test_parse_map(ctx, "{ [p1, y1, y2] -> [2, y1, y2] : "
112 "p1 = 1 && (y1 <= y2 || y2 = 0) }");
113
114 str = "{ [x,y] : [([x/2]+y)/3] >= 1 }";
115 str2 = "{ [x, y] : 2y >= 6 - x }";
116 if (test_parse_map_equal(ctx, str, str2) < 0)
117 return -1;
118
119 if (test_parse_map_equal(ctx, "{ [x,y] : x <= min(y, 2*y+3) }",
120 "{ [x,y] : x <= y, 2*y + 3 }") < 0)
121 return -1;
122 str = "{ [x, y] : (y <= x and y >= -3) or (2y <= -3 + x and y <= -4) }";
123 if (test_parse_map_equal(ctx, "{ [x,y] : x >= min(y, 2*y+3) }",
124 str) < 0)
125 return -1;
126
127 str = "{[new,old] -> [new+1-2*[(new+1)/2],old+1-2*[(old+1)/2]]}";
128 map = isl_map_read_from_str(ctx, str);
129 str = "{ [new, old] -> [o0, o1] : "
130 "exists (e0 = [(-1 - new + o0)/2], e1 = [(-1 - old + o1)/2]: "
131 "2e0 = -1 - new + o0 and 2e1 = -1 - old + o1 and o0 >= 0 and "
132 "o0 <= 1 and o1 >= 0 and o1 <= 1) }";
133 map2 = isl_map_read_from_str(ctx, str);
134 assert(isl_map_is_equal(map, map2));
135 isl_map_free(map);
136 isl_map_free(map2);
137
138 str = "{[new,old] -> [new+1-2*[(new+1)/2],old+1-2*[(old+1)/2]]}";
139 map = isl_map_read_from_str(ctx, str);
140 str = "{[new,old] -> [(new+1)%2,(old+1)%2]}";
141 map2 = isl_map_read_from_str(ctx, str);
142 assert(isl_map_is_equal(map, map2));
143 isl_map_free(map);
144 isl_map_free(map2);
145
146 str = "[n] -> { [c1] : c1>=0 and c1<=floord(n-4,3) }";
147 str2 = "[n] -> { [c1] : c1 >= 0 and 3c1 <= -4 + n }";
148 if (test_parse_map_equal(ctx, str, str2) < 0)
149 return -1;
150
151 str = "{ [i,j] -> [i] : i < j; [i,j] -> [j] : j <= i }";
152 str2 = "{ [i,j] -> [min(i,j)] }";
153 if (test_parse_map_equal(ctx, str, str2) < 0)
154 return -1;
155
156 str = "{ [i,j] : i != j }";
157 str2 = "{ [i,j] : i < j or i > j }";
158 if (test_parse_map_equal(ctx, str, str2) < 0)
159 return -1;
160
161 str = "{ [i,j] : (i+1)*2 >= j }";
162 str2 = "{ [i, j] : j <= 2 + 2i }";
163 if (test_parse_map_equal(ctx, str, str2) < 0)
164 return -1;
165
166 str = "{ [i] -> [i > 0 ? 4 : 5] }";
167 str2 = "{ [i] -> [5] : i <= 0; [i] -> [4] : i >= 1 }";
168 if (test_parse_map_equal(ctx, str, str2) < 0)
169 return -1;
170
171 str = "[N=2,M] -> { [i=[(M+N)/4]] }";
172 str2 = "[N, M] -> { [i] : N = 2 and 4i <= 2 + M and 4i >= -1 + M }";
173 if (test_parse_map_equal(ctx, str, str2) < 0)
174 return -1;
175
176 str = "{ [x] : x >= 0 }";
177 str2 = "{ [x] : x-0 >= 0 }";
178 if (test_parse_map_equal(ctx, str, str2) < 0)
179 return -1;
180
181 str = "{ [i] : ((i > 10)) }";
182 str2 = "{ [i] : i >= 11 }";
183 if (test_parse_map_equal(ctx, str, str2) < 0)
184 return -1;
185
186 str = "{ [i] -> [0] }";
187 str2 = "{ [i] -> [0 * i] }";
188 if (test_parse_map_equal(ctx, str, str2) < 0)
189 return -1;
190
191 test_parse_pwqp(ctx, "{ [i] -> i + [ (i + [i/3])/2 ] }");
192 test_parse_map(ctx, "{ S1[i] -> [([i/10]),i%10] : 0 <= i <= 45 }");
193 test_parse_pwaff(ctx, "{ [i] -> [i + 1] : i > 0; [a] -> [a] : a < 0 }");
194 test_parse_pwqp(ctx, "{ [x] -> ([(x)/2] * [(x)/3]) }");
195
196 if (test_parse_map_equal(ctx, "{ [a] -> [b] : (not false) }",
197 "{ [a] -> [b] : true }") < 0)
198 return -1;
199
200 if (test_parse_map_equal(ctx, "{ [i] : i/2 <= 5 }",
201 "{ [i] : i <= 10 }") < 0)
202 return -1;
203
204 if (test_parse_map_equal(ctx, "{Sym=[n] [i] : i <= n }",
205 "[n] -> { [i] : i <= n }") < 0)
206 return -1;
207
208 return 0;
209 }
210
211 void test_read(struct isl_ctx *ctx)
212 {
213 char *filename;
214 FILE *input;
215 struct isl_basic_set *bset1, *bset2;
216 const char *str = "{[y]: Exists ( alpha : 2alpha = y)}";
217
218 filename = get_filename(ctx, "set", "omega");
219 assert(filename);
220 input = fopen(filename, "r");
221 assert(input);
222
223 bset1 = isl_basic_set_read_from_file(ctx, input);
224 bset2 = isl_basic_set_read_from_str(ctx, str);
225
226 assert(isl_basic_set_is_equal(bset1, bset2) == 1);
227
228 isl_basic_set_free(bset1);
229 isl_basic_set_free(bset2);
230 free(filename);
231
232 fclose(input);
233 }
234
235 void test_bounded(struct isl_ctx *ctx)
236 {
237 isl_set *set;
238 int bounded;
239
240 set = isl_set_read_from_str(ctx, "[n] -> {[i] : 0 <= i <= n }");
241 bounded = isl_set_is_bounded(set);
242 assert(bounded);
243 isl_set_free(set);
244
245 set = isl_set_read_from_str(ctx, "{[n, i] : 0 <= i <= n }");
246 bounded = isl_set_is_bounded(set);
247 assert(!bounded);
248 isl_set_free(set);
249
250 set = isl_set_read_from_str(ctx, "[n] -> {[i] : i <= n }");
251 bounded = isl_set_is_bounded(set);
252 assert(!bounded);
253 isl_set_free(set);
254 }
255
256 /* Construct the basic set { [i] : 5 <= i <= N } */
257 void test_construction(struct isl_ctx *ctx)
258 {
259 isl_int v;
260 isl_space *dim;
261 isl_local_space *ls;
262 struct isl_basic_set *bset;
263 struct isl_constraint *c;
264
265 isl_int_init(v);
266
267 dim = isl_space_set_alloc(ctx, 1, 1);
268 bset = isl_basic_set_universe(isl_space_copy(dim));
269 ls = isl_local_space_from_space(dim);
270
271 c = isl_inequality_alloc(isl_local_space_copy(ls));
272 isl_int_set_si(v, -1);
273 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
274 isl_int_set_si(v, 1);
275 isl_constraint_set_coefficient(c, isl_dim_param, 0, v);
276 bset = isl_basic_set_add_constraint(bset, c);
277
278 c = isl_inequality_alloc(isl_local_space_copy(ls));
279 isl_int_set_si(v, 1);
280 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
281 isl_int_set_si(v, -5);
282 isl_constraint_set_constant(c, v);
283 bset = isl_basic_set_add_constraint(bset, c);
284
285 isl_local_space_free(ls);
286 isl_basic_set_free(bset);
287
288 isl_int_clear(v);
289 }
290
291 void test_dim(struct isl_ctx *ctx)
292 {
293 const char *str;
294 isl_map *map1, *map2;
295
296 map1 = isl_map_read_from_str(ctx,
297 "[n] -> { [i] -> [j] : exists (a = [i/10] : i - 10a <= n ) }");
298 map1 = isl_map_add_dims(map1, isl_dim_in, 1);
299 map2 = isl_map_read_from_str(ctx,
300 "[n] -> { [i,k] -> [j] : exists (a = [i/10] : i - 10a <= n ) }");
301 assert(isl_map_is_equal(map1, map2));
302 isl_map_free(map2);
303
304 map1 = isl_map_project_out(map1, isl_dim_in, 0, 1);
305 map2 = isl_map_read_from_str(ctx, "[n] -> { [i] -> [j] : n >= 0 }");
306 assert(isl_map_is_equal(map1, map2));
307
308 isl_map_free(map1);
309 isl_map_free(map2);
310
311 str = "[n] -> { [i] -> [] : exists a : 0 <= i <= n and i = 2 a }";
312 map1 = isl_map_read_from_str(ctx, str);
313 str = "{ [i] -> [j] : exists a : 0 <= i <= j and i = 2 a }";
314 map2 = isl_map_read_from_str(ctx, str);
315 map1 = isl_map_move_dims(map1, isl_dim_out, 0, isl_dim_param, 0, 1);
316 assert(isl_map_is_equal(map1, map2));
317
318 isl_map_free(map1);
319 isl_map_free(map2);
320 }
321
322 static int test_div(isl_ctx *ctx)
323 {
324 unsigned n;
325 const char *str;
326 int empty;
327 isl_int v;
328 isl_space *dim;
329 isl_set *set;
330 isl_local_space *ls;
331 struct isl_basic_set *bset;
332 struct isl_constraint *c;
333
334 isl_int_init(v);
335
336 /* test 1 */
337 dim = isl_space_set_alloc(ctx, 0, 3);
338 bset = isl_basic_set_universe(isl_space_copy(dim));
339 ls = isl_local_space_from_space(dim);
340
341 c = isl_equality_alloc(isl_local_space_copy(ls));
342 isl_int_set_si(v, -1);
343 isl_constraint_set_constant(c, v);
344 isl_int_set_si(v, 1);
345 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
346 isl_int_set_si(v, 3);
347 isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
348 bset = isl_basic_set_add_constraint(bset, c);
349
350 c = isl_equality_alloc(isl_local_space_copy(ls));
351 isl_int_set_si(v, 1);
352 isl_constraint_set_constant(c, v);
353 isl_int_set_si(v, -1);
354 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
355 isl_int_set_si(v, 3);
356 isl_constraint_set_coefficient(c, isl_dim_set, 2, v);
357 bset = isl_basic_set_add_constraint(bset, c);
358
359 bset = isl_basic_set_project_out(bset, isl_dim_set, 1, 2);
360
361 assert(bset && bset->n_div == 1);
362 isl_local_space_free(ls);
363 isl_basic_set_free(bset);
364
365 /* test 2 */
366 dim = isl_space_set_alloc(ctx, 0, 3);
367 bset = isl_basic_set_universe(isl_space_copy(dim));
368 ls = isl_local_space_from_space(dim);
369
370 c = isl_equality_alloc(isl_local_space_copy(ls));
371 isl_int_set_si(v, 1);
372 isl_constraint_set_constant(c, v);
373 isl_int_set_si(v, -1);
374 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
375 isl_int_set_si(v, 3);
376 isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
377 bset = isl_basic_set_add_constraint(bset, c);
378
379 c = isl_equality_alloc(isl_local_space_copy(ls));
380 isl_int_set_si(v, -1);
381 isl_constraint_set_constant(c, v);
382 isl_int_set_si(v, 1);
383 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
384 isl_int_set_si(v, 3);
385 isl_constraint_set_coefficient(c, isl_dim_set, 2, v);
386 bset = isl_basic_set_add_constraint(bset, c);
387
388 bset = isl_basic_set_project_out(bset, isl_dim_set, 1, 2);
389
390 assert(bset && bset->n_div == 1);
391 isl_local_space_free(ls);
392 isl_basic_set_free(bset);
393
394 /* test 3 */
395 dim = isl_space_set_alloc(ctx, 0, 3);
396 bset = isl_basic_set_universe(isl_space_copy(dim));
397 ls = isl_local_space_from_space(dim);
398
399 c = isl_equality_alloc(isl_local_space_copy(ls));
400 isl_int_set_si(v, 1);
401 isl_constraint_set_constant(c, v);
402 isl_int_set_si(v, -1);
403 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
404 isl_int_set_si(v, 3);
405 isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
406 bset = isl_basic_set_add_constraint(bset, c);
407
408 c = isl_equality_alloc(isl_local_space_copy(ls));
409 isl_int_set_si(v, -3);
410 isl_constraint_set_constant(c, v);
411 isl_int_set_si(v, 1);
412 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
413 isl_int_set_si(v, 4);
414 isl_constraint_set_coefficient(c, isl_dim_set, 2, v);
415 bset = isl_basic_set_add_constraint(bset, c);
416
417 bset = isl_basic_set_project_out(bset, isl_dim_set, 1, 2);
418
419 assert(bset && bset->n_div == 1);
420 isl_local_space_free(ls);
421 isl_basic_set_free(bset);
422
423 /* test 4 */
424 dim = isl_space_set_alloc(ctx, 0, 3);
425 bset = isl_basic_set_universe(isl_space_copy(dim));
426 ls = isl_local_space_from_space(dim);
427
428 c = isl_equality_alloc(isl_local_space_copy(ls));
429 isl_int_set_si(v, 2);
430 isl_constraint_set_constant(c, v);
431 isl_int_set_si(v, -1);
432 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
433 isl_int_set_si(v, 3);
434 isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
435 bset = isl_basic_set_add_constraint(bset, c);
436
437 c = isl_equality_alloc(isl_local_space_copy(ls));
438 isl_int_set_si(v, -1);
439 isl_constraint_set_constant(c, v);
440 isl_int_set_si(v, 1);
441 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
442 isl_int_set_si(v, 6);
443 isl_constraint_set_coefficient(c, isl_dim_set, 2, v);
444 bset = isl_basic_set_add_constraint(bset, c);
445
446 bset = isl_basic_set_project_out(bset, isl_dim_set, 1, 2);
447
448 assert(isl_basic_set_is_empty(bset));
449 isl_local_space_free(ls);
450 isl_basic_set_free(bset);
451
452 /* test 5 */
453 dim = isl_space_set_alloc(ctx, 0, 3);
454 bset = isl_basic_set_universe(isl_space_copy(dim));
455 ls = isl_local_space_from_space(dim);
456
457 c = isl_equality_alloc(isl_local_space_copy(ls));
458 isl_int_set_si(v, -1);
459 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
460 isl_int_set_si(v, 3);
461 isl_constraint_set_coefficient(c, isl_dim_set, 2, v);
462 bset = isl_basic_set_add_constraint(bset, c);
463
464 c = isl_equality_alloc(isl_local_space_copy(ls));
465 isl_int_set_si(v, 1);
466 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
467 isl_int_set_si(v, -3);
468 isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
469 bset = isl_basic_set_add_constraint(bset, c);
470
471 bset = isl_basic_set_project_out(bset, isl_dim_set, 2, 1);
472
473 assert(bset && bset->n_div == 0);
474 isl_basic_set_free(bset);
475 isl_local_space_free(ls);
476
477 /* test 6 */
478 dim = isl_space_set_alloc(ctx, 0, 3);
479 bset = isl_basic_set_universe(isl_space_copy(dim));
480 ls = isl_local_space_from_space(dim);
481
482 c = isl_equality_alloc(isl_local_space_copy(ls));
483 isl_int_set_si(v, -1);
484 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
485 isl_int_set_si(v, 6);
486 isl_constraint_set_coefficient(c, isl_dim_set, 2, v);
487 bset = isl_basic_set_add_constraint(bset, c);
488
489 c = isl_equality_alloc(isl_local_space_copy(ls));
490 isl_int_set_si(v, 1);
491 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
492 isl_int_set_si(v, -3);
493 isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
494 bset = isl_basic_set_add_constraint(bset, c);
495
496 bset = isl_basic_set_project_out(bset, isl_dim_set, 2, 1);
497
498 assert(bset && bset->n_div == 1);
499 isl_basic_set_free(bset);
500 isl_local_space_free(ls);
501
502 /* test 7 */
503 /* This test is a bit tricky. We set up an equality
504 * a + 3b + 3c = 6 e0
505 * Normalization of divs creates _two_ divs
506 * a = 3 e0
507 * c - b - e0 = 2 e1
508 * Afterwards e0 is removed again because it has coefficient -1
509 * and we end up with the original equality and div again.
510 * Perhaps we can avoid the introduction of this temporary div.
511 */
512 dim = isl_space_set_alloc(ctx, 0, 4);
513 bset = isl_basic_set_universe(isl_space_copy(dim));
514 ls = isl_local_space_from_space(dim);
515
516 c = isl_equality_alloc(isl_local_space_copy(ls));
517 isl_int_set_si(v, -1);
518 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
519 isl_int_set_si(v, -3);
520 isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
521 isl_int_set_si(v, -3);
522 isl_constraint_set_coefficient(c, isl_dim_set, 2, v);
523 isl_int_set_si(v, 6);
524 isl_constraint_set_coefficient(c, isl_dim_set, 3, v);
525 bset = isl_basic_set_add_constraint(bset, c);
526
527 bset = isl_basic_set_project_out(bset, isl_dim_set, 3, 1);
528
529 /* Test disabled for now */
530 /*
531 assert(bset && bset->n_div == 1);
532 */
533 isl_local_space_free(ls);
534 isl_basic_set_free(bset);
535
536 /* test 8 */
537 dim = isl_space_set_alloc(ctx, 0, 5);
538 bset = isl_basic_set_universe(isl_space_copy(dim));
539 ls = isl_local_space_from_space(dim);
540
541 c = isl_equality_alloc(isl_local_space_copy(ls));
542 isl_int_set_si(v, -1);
543 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
544 isl_int_set_si(v, -3);
545 isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
546 isl_int_set_si(v, -3);
547 isl_constraint_set_coefficient(c, isl_dim_set, 3, v);
548 isl_int_set_si(v, 6);
549 isl_constraint_set_coefficient(c, isl_dim_set, 4, v);
550 bset = isl_basic_set_add_constraint(bset, c);
551
552 c = isl_equality_alloc(isl_local_space_copy(ls));
553 isl_int_set_si(v, -1);
554 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
555 isl_int_set_si(v, 1);
556 isl_constraint_set_coefficient(c, isl_dim_set, 2, v);
557 isl_int_set_si(v, 1);
558 isl_constraint_set_constant(c, v);
559 bset = isl_basic_set_add_constraint(bset, c);
560
561 bset = isl_basic_set_project_out(bset, isl_dim_set, 4, 1);
562
563 /* Test disabled for now */
564 /*
565 assert(bset && bset->n_div == 1);
566 */
567 isl_local_space_free(ls);
568 isl_basic_set_free(bset);
569
570 /* test 9 */
571 dim = isl_space_set_alloc(ctx, 0, 4);
572 bset = isl_basic_set_universe(isl_space_copy(dim));
573 ls = isl_local_space_from_space(dim);
574
575 c = isl_equality_alloc(isl_local_space_copy(ls));
576 isl_int_set_si(v, 1);
577 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
578 isl_int_set_si(v, -1);
579 isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
580 isl_int_set_si(v, -2);
581 isl_constraint_set_coefficient(c, isl_dim_set, 2, v);
582 bset = isl_basic_set_add_constraint(bset, c);
583
584 c = isl_equality_alloc(isl_local_space_copy(ls));
585 isl_int_set_si(v, -1);
586 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
587 isl_int_set_si(v, 3);
588 isl_constraint_set_coefficient(c, isl_dim_set, 3, v);
589 isl_int_set_si(v, 2);
590 isl_constraint_set_constant(c, v);
591 bset = isl_basic_set_add_constraint(bset, c);
592
593 bset = isl_basic_set_project_out(bset, isl_dim_set, 2, 2);
594
595 bset = isl_basic_set_fix_si(bset, isl_dim_set, 0, 2);
596
597 assert(!isl_basic_set_is_empty(bset));
598
599 isl_local_space_free(ls);
600 isl_basic_set_free(bset);
601
602 /* test 10 */
603 dim = isl_space_set_alloc(ctx, 0, 3);
604 bset = isl_basic_set_universe(isl_space_copy(dim));
605 ls = isl_local_space_from_space(dim);
606
607 c = isl_equality_alloc(isl_local_space_copy(ls));
608 isl_int_set_si(v, 1);
609 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
610 isl_int_set_si(v, -2);
611 isl_constraint_set_coefficient(c, isl_dim_set, 2, v);
612 bset = isl_basic_set_add_constraint(bset, c);
613
614 bset = isl_basic_set_project_out(bset, isl_dim_set, 2, 1);
615
616 bset = isl_basic_set_fix_si(bset, isl_dim_set, 0, 2);
617
618 isl_local_space_free(ls);
619 isl_basic_set_free(bset);
620
621 isl_int_clear(v);
622
623 str = "{ [i] : exists (e0, e1: 3e1 >= 1 + 2e0 and "
624 "8e1 <= -1 + 5i - 5e0 and 2e1 >= 1 + 2i - 5e0) }";
625 set = isl_set_read_from_str(ctx, str);
626 set = isl_set_compute_divs(set);
627 isl_set_free(set);
628 if (!set)
629 return -1;
630
631 str = "{ [i,j] : 2*[i/2] + 3 * [j/4] <= 10 and 2 i = j }";
632 bset = isl_basic_set_read_from_str(ctx, str);
633 n = isl_basic_set_dim(bset, isl_dim_div);
634 isl_basic_set_free(bset);
635 if (!bset)
636 return -1;
637 if (n != 0)
638 isl_die(ctx, isl_error_unknown,
639 "expecting no existentials", return -1);
640
641 str = "{ [i,j,k] : 3 + i + 2j >= 0 and 2 * [(i+2j)/4] <= k }";
642 set = isl_set_read_from_str(ctx, str);
643 set = isl_set_remove_divs_involving_dims(set, isl_dim_set, 0, 2);
644 set = isl_set_fix_si(set, isl_dim_set, 2, -3);
645 empty = isl_set_is_empty(set);
646 isl_set_free(set);
647 if (empty < 0)
648 return -1;
649 if (!empty)
650 isl_die(ctx, isl_error_unknown,
651 "result not as accurate as expected", return -1);
652
653 return 0;
654 }
655
656 void test_application_case(struct isl_ctx *ctx, const char *name)
657 {
658 char *filename;
659 FILE *input;
660 struct isl_basic_set *bset1, *bset2;
661 struct isl_basic_map *bmap;
662
663 filename = get_filename(ctx, name, "omega");
664 assert(filename);
665 input = fopen(filename, "r");
666 assert(input);
667
668 bset1 = isl_basic_set_read_from_file(ctx, input);
669 bmap = isl_basic_map_read_from_file(ctx, input);
670
671 bset1 = isl_basic_set_apply(bset1, bmap);
672
673 bset2 = isl_basic_set_read_from_file(ctx, input);
674
675 assert(isl_basic_set_is_equal(bset1, bset2) == 1);
676
677 isl_basic_set_free(bset1);
678 isl_basic_set_free(bset2);
679 free(filename);
680
681 fclose(input);
682 }
683
684 void test_application(struct isl_ctx *ctx)
685 {
686 test_application_case(ctx, "application");
687 test_application_case(ctx, "application2");
688 }
689
690 void test_affine_hull_case(struct isl_ctx *ctx, const char *name)
691 {
692 char *filename;
693 FILE *input;
694 struct isl_basic_set *bset1, *bset2;
695
696 filename = get_filename(ctx, name, "polylib");
697 assert(filename);
698 input = fopen(filename, "r");
699 assert(input);
700
701 bset1 = isl_basic_set_read_from_file(ctx, input);
702 bset2 = isl_basic_set_read_from_file(ctx, input);
703
704 bset1 = isl_basic_set_affine_hull(bset1);
705
706 assert(isl_basic_set_is_equal(bset1, bset2) == 1);
707
708 isl_basic_set_free(bset1);
709 isl_basic_set_free(bset2);
710 free(filename);
711
712 fclose(input);
713 }
714
715 int test_affine_hull(struct isl_ctx *ctx)
716 {
717 const char *str;
718 isl_set *set;
719 isl_basic_set *bset;
720 int n;
721
722 test_affine_hull_case(ctx, "affine2");
723 test_affine_hull_case(ctx, "affine");
724 test_affine_hull_case(ctx, "affine3");
725
726 str = "[m] -> { [i0] : exists (e0, e1: e1 <= 1 + i0 and "
727 "m >= 3 and 4i0 <= 2 + m and e1 >= i0 and "
728 "e1 >= 0 and e1 <= 2 and e1 >= 1 + 2e0 and "
729 "2e1 <= 1 + m + 4e0 and 2e1 >= 2 - m + 4i0 - 4e0) }";
730 set = isl_set_read_from_str(ctx, str);
731 bset = isl_set_affine_hull(set);
732 n = isl_basic_set_dim(bset, isl_dim_div);
733 isl_basic_set_free(bset);
734 if (n != 0)
735 isl_die(ctx, isl_error_unknown, "not expecting any divs",
736 return -1);
737
738 return 0;
739 }
740
741 void test_convex_hull_case(struct isl_ctx *ctx, const char *name)
742 {
743 char *filename;
744 FILE *input;
745 struct isl_basic_set *bset1, *bset2;
746 struct isl_set *set;
747
748 filename = get_filename(ctx, name, "polylib");
749 assert(filename);
750 input = fopen(filename, "r");
751 assert(input);
752
753 bset1 = isl_basic_set_read_from_file(ctx, input);
754 bset2 = isl_basic_set_read_from_file(ctx, input);
755
756 set = isl_basic_set_union(bset1, bset2);
757 bset1 = isl_set_convex_hull(set);
758
759 bset2 = isl_basic_set_read_from_file(ctx, input);
760
761 assert(isl_basic_set_is_equal(bset1, bset2) == 1);
762
763 isl_basic_set_free(bset1);
764 isl_basic_set_free(bset2);
765 free(filename);
766
767 fclose(input);
768 }
769
770 void test_convex_hull_algo(struct isl_ctx *ctx, int convex)
771 {
772 const char *str1, *str2;
773 isl_set *set1, *set2;
774 int orig_convex = ctx->opt->convex;
775 ctx->opt->convex = convex;
776
777 test_convex_hull_case(ctx, "convex0");
778 test_convex_hull_case(ctx, "convex1");
779 test_convex_hull_case(ctx, "convex2");
780 test_convex_hull_case(ctx, "convex3");
781 test_convex_hull_case(ctx, "convex4");
782 test_convex_hull_case(ctx, "convex5");
783 test_convex_hull_case(ctx, "convex6");
784 test_convex_hull_case(ctx, "convex7");
785 test_convex_hull_case(ctx, "convex8");
786 test_convex_hull_case(ctx, "convex9");
787 test_convex_hull_case(ctx, "convex10");
788 test_convex_hull_case(ctx, "convex11");
789 test_convex_hull_case(ctx, "convex12");
790 test_convex_hull_case(ctx, "convex13");
791 test_convex_hull_case(ctx, "convex14");
792 test_convex_hull_case(ctx, "convex15");
793
794 str1 = "{ [i0, i1, i2] : (i2 = 1 and i0 = 0 and i1 >= 0) or "
795 "(i0 = 1 and i1 = 0 and i2 = 1) or "
796 "(i0 = 0 and i1 = 0 and i2 = 0) }";
797 str2 = "{ [i0, i1, i2] : i0 >= 0 and i2 >= i0 and i2 <= 1 and i1 >= 0 }";
798 set1 = isl_set_read_from_str(ctx, str1);
799 set2 = isl_set_read_from_str(ctx, str2);
800 set1 = isl_set_from_basic_set(isl_set_convex_hull(set1));
801 assert(isl_set_is_equal(set1, set2));
802 isl_set_free(set1);
803 isl_set_free(set2);
804
805 ctx->opt->convex = orig_convex;
806 }
807
808 void test_convex_hull(struct isl_ctx *ctx)
809 {
810 test_convex_hull_algo(ctx, ISL_CONVEX_HULL_FM);
811 test_convex_hull_algo(ctx, ISL_CONVEX_HULL_WRAP);
812 }
813
814 void test_gist_case(struct isl_ctx *ctx, const char *name)
815 {
816 char *filename;
817 FILE *input;
818 struct isl_basic_set *bset1, *bset2;
819
820 filename = get_filename(ctx, name, "polylib");
821 assert(filename);
822 input = fopen(filename, "r");
823 assert(input);
824
825 bset1 = isl_basic_set_read_from_file(ctx, input);
826 bset2 = isl_basic_set_read_from_file(ctx, input);
827
828 bset1 = isl_basic_set_gist(bset1, bset2);
829
830 bset2 = isl_basic_set_read_from_file(ctx, input);
831
832 assert(isl_basic_set_is_equal(bset1, bset2) == 1);
833
834 isl_basic_set_free(bset1);
835 isl_basic_set_free(bset2);
836 free(filename);
837
838 fclose(input);
839 }
840
841 void test_gist(struct isl_ctx *ctx)
842 {
843 const char *str;
844 isl_basic_set *bset1, *bset2;
845
846 test_gist_case(ctx, "gist1");
847
848 str = "[p0, p2, p3, p5, p6, p10] -> { [] : "
849 "exists (e0 = [(15 + p0 + 15p6 + 15p10)/16], e1 = [(p5)/8], "
850 "e2 = [(p6)/128], e3 = [(8p2 - p5)/128], "
851 "e4 = [(128p3 - p6)/4096]: 8e1 = p5 and 128e2 = p6 and "
852 "128e3 = 8p2 - p5 and 4096e4 = 128p3 - p6 and p2 >= 0 and "
853 "16e0 >= 16 + 16p6 + 15p10 and p2 <= 15 and p3 >= 0 and "
854 "p3 <= 31 and p6 >= 128p3 and p5 >= 8p2 and p10 >= 0 and "
855 "16e0 <= 15 + p0 + 15p6 + 15p10 and 16e0 >= p0 + 15p6 + 15p10 and "
856 "p10 <= 15 and p10 <= -1 + p0 - p6) }";
857 bset1 = isl_basic_set_read_from_str(ctx, str);
858 str = "[p0, p2, p3, p5, p6, p10] -> { [] : exists (e0 = [(p5)/8], "
859 "e1 = [(p6)/128], e2 = [(8p2 - p5)/128], "
860 "e3 = [(128p3 - p6)/4096]: 8e0 = p5 and 128e1 = p6 and "
861 "128e2 = 8p2 - p5 and 4096e3 = 128p3 - p6 and p5 >= -7 and "
862 "p2 >= 0 and 8p2 <= -1 + p0 and p2 <= 15 and p3 >= 0 and "
863 "p3 <= 31 and 128p3 <= -1 + p0 and p6 >= -127 and "
864 "p5 <= -1 + p0 and p6 <= -1 + p0 and p6 >= 128p3 and "
865 "p0 >= 1 and p5 >= 8p2 and p10 >= 0 and p10 <= 15 ) }";
866 bset2 = isl_basic_set_read_from_str(ctx, str);
867 bset1 = isl_basic_set_gist(bset1, bset2);
868 assert(bset1 && bset1->n_div == 0);
869 isl_basic_set_free(bset1);
870 }
871
872 int test_coalesce_set(isl_ctx *ctx, const char *str, int check_one)
873 {
874 isl_set *set, *set2;
875 int equal;
876 int one;
877
878 set = isl_set_read_from_str(ctx, str);
879 set = isl_set_coalesce(set);
880 set2 = isl_set_read_from_str(ctx, str);
881 equal = isl_set_is_equal(set, set2);
882 one = set && set->n == 1;
883 isl_set_free(set);
884 isl_set_free(set2);
885
886 if (equal < 0)
887 return -1;
888 if (!equal)
889 isl_die(ctx, isl_error_unknown,
890 "coalesced set not equal to input", return -1);
891 if (check_one && !one)
892 isl_die(ctx, isl_error_unknown,
893 "coalesced set should not be a union", return -1);
894
895 return 0;
896 }
897
898 int test_coalesce_unbounded_wrapping(isl_ctx *ctx)
899 {
900 int r = 0;
901 int bounded;
902
903 bounded = isl_options_get_coalesce_bounded_wrapping(ctx);
904 isl_options_set_coalesce_bounded_wrapping(ctx, 0);
905
906 if (test_coalesce_set(ctx,
907 "{[x,y,z] : y + 2 >= 0 and x - y + 1 >= 0 and "
908 "-x - y + 1 >= 0 and -3 <= z <= 3;"
909 "[x,y,z] : -x+z + 20 >= 0 and -x-z + 20 >= 0 and "
910 "x-z + 20 >= 0 and x+z + 20 >= 0 and "
911 "-10 <= y <= 0}", 1) < 0)
912 goto error;
913 if (test_coalesce_set(ctx,
914 "{[x,y] : 0 <= x,y <= 10; [5,y]: 4 <=y <= 11}", 1) < 0)
915 goto error;
916 if (test_coalesce_set(ctx,
917 "{[x,0,0] : -5 <= x <= 5; [0,y,1] : -5 <= y <= 5 }", 1) < 0)
918 goto error;
919
920 if (0) {
921 error:
922 r = -1;
923 }
924
925 isl_options_set_coalesce_bounded_wrapping(ctx, bounded);
926
927 return r;
928 }
929
930 int test_coalesce(struct isl_ctx *ctx)
931 {
932 const char *str;
933 struct isl_set *set, *set2;
934 struct isl_map *map, *map2;
935
936 set = isl_set_read_from_str(ctx,
937 "{[x,y]: x >= 0 & x <= 10 & y >= 0 & y <= 10 or "
938 "y >= x & x >= 2 & 5 >= y }");
939 set = isl_set_coalesce(set);
940 assert(set && set->n == 1);
941 isl_set_free(set);
942
943 set = isl_set_read_from_str(ctx,
944 "{[x,y]: y >= 0 & 2x + y <= 30 & y <= 10 & x >= 0 or "
945 "x + y >= 10 & y <= x & x + y <= 20 & y >= 0}");
946 set = isl_set_coalesce(set);
947 assert(set && set->n == 1);
948 isl_set_free(set);
949
950 set = isl_set_read_from_str(ctx,
951 "{[x,y]: y >= 0 & 2x + y <= 30 & y <= 10 & x >= 0 or "
952 "x + y >= 10 & y <= x & x + y <= 19 & y >= 0}");
953 set = isl_set_coalesce(set);
954 assert(set && set->n == 2);
955 isl_set_free(set);
956
957 set = isl_set_read_from_str(ctx,
958 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
959 "y >= 0 & x >= 6 & x <= 10 & y <= x}");
960 set = isl_set_coalesce(set);
961 assert(set && set->n == 1);
962 isl_set_free(set);
963
964 set = isl_set_read_from_str(ctx,
965 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
966 "y >= 0 & x >= 7 & x <= 10 & y <= x}");
967 set = isl_set_coalesce(set);
968 assert(set && set->n == 2);
969 isl_set_free(set);
970
971 set = isl_set_read_from_str(ctx,
972 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
973 "y >= 0 & x >= 6 & x <= 10 & y + 1 <= x}");
974 set = isl_set_coalesce(set);
975 assert(set && set->n == 2);
976 isl_set_free(set);
977
978 set = isl_set_read_from_str(ctx,
979 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
980 "y >= 0 & x = 6 & y <= 6}");
981 set = isl_set_coalesce(set);
982 assert(set && set->n == 1);
983 isl_set_free(set);
984
985 set = isl_set_read_from_str(ctx,
986 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
987 "y >= 0 & x = 7 & y <= 6}");
988 set = isl_set_coalesce(set);
989 assert(set && set->n == 2);
990 isl_set_free(set);
991
992 set = isl_set_read_from_str(ctx,
993 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
994 "y >= 0 & x = 6 & y <= 5}");
995 set = isl_set_coalesce(set);
996 assert(set && set->n == 1);
997 set2 = isl_set_read_from_str(ctx,
998 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
999 "y >= 0 & x = 6 & y <= 5}");
1000 assert(isl_set_is_equal(set, set2));
1001 isl_set_free(set);
1002 isl_set_free(set2);
1003
1004 set = isl_set_read_from_str(ctx,
1005 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
1006 "y >= 0 & x = 6 & y <= 7}");
1007 set = isl_set_coalesce(set);
1008 assert(set && set->n == 2);
1009 isl_set_free(set);
1010
1011 set = isl_set_read_from_str(ctx,
1012 "[n] -> { [i] : i = 1 and n >= 2 or 2 <= i and i <= n }");
1013 set = isl_set_coalesce(set);
1014 assert(set && set->n == 1);
1015 set2 = isl_set_read_from_str(ctx,
1016 "[n] -> { [i] : i = 1 and n >= 2 or 2 <= i and i <= n }");
1017 assert(isl_set_is_equal(set, set2));
1018 isl_set_free(set);
1019 isl_set_free(set2);
1020
1021 set = isl_set_read_from_str(ctx,
1022 "{[x,y] : x >= 0 and y >= 0 or 0 <= y and y <= 5 and x = -1}");
1023 set = isl_set_coalesce(set);
1024 set2 = isl_set_read_from_str(ctx,
1025 "{[x,y] : x >= 0 and y >= 0 or 0 <= y and y <= 5 and x = -1}");
1026 assert(isl_set_is_equal(set, set2));
1027 isl_set_free(set);
1028 isl_set_free(set2);
1029
1030 set = isl_set_read_from_str(ctx,
1031 "[n] -> { [i] : 1 <= i and i <= n - 1 or "
1032 "2 <= i and i <= n }");
1033 set = isl_set_coalesce(set);
1034 assert(set && set->n == 1);
1035 set2 = isl_set_read_from_str(ctx,
1036 "[n] -> { [i] : 1 <= i and i <= n - 1 or "
1037 "2 <= i and i <= n }");
1038 assert(isl_set_is_equal(set, set2));
1039 isl_set_free(set);
1040 isl_set_free(set2);
1041
1042 map = isl_map_read_from_str(ctx,
1043 "[n] -> { [i0] -> [o0] : exists (e0 = [(i0)/4], e1 = [(o0)/4], "
1044 "e2 = [(n)/2], e3 = [(-2 + i0)/4], e4 = [(-2 + o0)/4], "
1045 "e5 = [(-2n + i0)/4]: 2e2 = n and 4e3 = -2 + i0 and "
1046 "4e4 = -2 + o0 and i0 >= 8 + 2n and o0 >= 2 + i0 and "
1047 "o0 <= 56 + 2n and o0 <= -12 + 4n and i0 <= 57 + 2n and "
1048 "i0 <= -11 + 4n and o0 >= 6 + 2n and 4e0 <= i0 and "
1049 "4e0 >= -3 + i0 and 4e1 <= o0 and 4e1 >= -3 + o0 and "
1050 "4e5 <= -2n + i0 and 4e5 >= -3 - 2n + i0);"
1051 "[i0] -> [o0] : exists (e0 = [(i0)/4], e1 = [(o0)/4], "
1052 "e2 = [(n)/2], e3 = [(-2 + i0)/4], e4 = [(-2 + o0)/4], "
1053 "e5 = [(-2n + i0)/4]: 2e2 = n and 4e3 = -2 + i0 and "
1054 "4e4 = -2 + o0 and 2e0 >= 3 + n and e0 <= -4 + n and "
1055 "2e0 <= 27 + n and e1 <= -4 + n and 2e1 <= 27 + n and "
1056 "2e1 >= 2 + n and e1 >= 1 + e0 and i0 >= 7 + 2n and "
1057 "i0 <= -11 + 4n and i0 <= 57 + 2n and 4e0 <= -2 + i0 and "
1058 "4e0 >= -3 + i0 and o0 >= 6 + 2n and o0 <= -11 + 4n and "
1059 "o0 <= 57 + 2n and 4e1 <= -2 + o0 and 4e1 >= -3 + o0 and "
1060 "4e5 <= -2n + i0 and 4e5 >= -3 - 2n + i0 ) }");
1061 map = isl_map_coalesce(map);
1062 map2 = isl_map_read_from_str(ctx,
1063 "[n] -> { [i0] -> [o0] : exists (e0 = [(i0)/4], e1 = [(o0)/4], "
1064 "e2 = [(n)/2], e3 = [(-2 + i0)/4], e4 = [(-2 + o0)/4], "
1065 "e5 = [(-2n + i0)/4]: 2e2 = n and 4e3 = -2 + i0 and "
1066 "4e4 = -2 + o0 and i0 >= 8 + 2n and o0 >= 2 + i0 and "
1067 "o0 <= 56 + 2n and o0 <= -12 + 4n and i0 <= 57 + 2n and "
1068 "i0 <= -11 + 4n and o0 >= 6 + 2n and 4e0 <= i0 and "
1069 "4e0 >= -3 + i0 and 4e1 <= o0 and 4e1 >= -3 + o0 and "
1070 "4e5 <= -2n + i0 and 4e5 >= -3 - 2n + i0);"
1071 "[i0] -> [o0] : exists (e0 = [(i0)/4], e1 = [(o0)/4], "
1072 "e2 = [(n)/2], e3 = [(-2 + i0)/4], e4 = [(-2 + o0)/4], "
1073 "e5 = [(-2n + i0)/4]: 2e2 = n and 4e3 = -2 + i0 and "
1074 "4e4 = -2 + o0 and 2e0 >= 3 + n and e0 <= -4 + n and "
1075 "2e0 <= 27 + n and e1 <= -4 + n and 2e1 <= 27 + n and "
1076 "2e1 >= 2 + n and e1 >= 1 + e0 and i0 >= 7 + 2n and "
1077 "i0 <= -11 + 4n and i0 <= 57 + 2n and 4e0 <= -2 + i0 and "
1078 "4e0 >= -3 + i0 and o0 >= 6 + 2n and o0 <= -11 + 4n and "
1079 "o0 <= 57 + 2n and 4e1 <= -2 + o0 and 4e1 >= -3 + o0 and "
1080 "4e5 <= -2n + i0 and 4e5 >= -3 - 2n + i0 ) }");
1081 assert(isl_map_is_equal(map, map2));
1082 isl_map_free(map);
1083 isl_map_free(map2);
1084
1085 str = "[n, m] -> { [] -> [o0, o2, o3] : (o3 = 1 and o0 >= 1 + m and "
1086 "o0 <= n + m and o2 <= m and o0 >= 2 + n and o2 >= 3) or "
1087 "(o0 >= 2 + n and o0 >= 1 + m and o0 <= n + m and n >= 1 and "
1088 "o3 <= -1 + o2 and o3 >= 1 - m + o2 and o3 >= 2 and o3 <= n) }";
1089 map = isl_map_read_from_str(ctx, str);
1090 map = isl_map_coalesce(map);
1091 map2 = isl_map_read_from_str(ctx, str);
1092 assert(isl_map_is_equal(map, map2));
1093 isl_map_free(map);
1094 isl_map_free(map2);
1095
1096 str = "[M, N] -> { [i0, i1, i2, i3, i4, i5, i6] -> "
1097 "[o0, o1, o2, o3, o4, o5, o6] : "
1098 "(o6 <= -4 + 2M - 2N + i0 + i1 - i2 + i6 - o0 - o1 + o2 and "
1099 "o3 <= -2 + i3 and o6 >= 2 + i0 + i3 + i6 - o0 - o3 and "
1100 "o6 >= 2 - M + N + i3 + i4 + i6 - o3 - o4 and o0 <= -1 + i0 and "
1101 "o4 >= 4 - 3M + 3N - i0 - i1 + i2 + 2i3 + i4 + o0 + o1 - o2 - 2o3 "
1102 "and o6 <= -3 + 2M - 2N + i3 + i4 - i5 + i6 - o3 - o4 + o5 and "
1103 "2o6 <= -5 + 5M - 5N + 2i0 + i1 - i2 - i5 + 2i6 - 2o0 - o1 + o2 + o5 "
1104 "and o6 >= 2i0 + i1 + i6 - 2o0 - o1 and "
1105 "3o6 <= -5 + 4M - 4N + 2i0 + i1 - i2 + 2i3 + i4 - i5 + 3i6 "
1106 "- 2o0 - o1 + o2 - 2o3 - o4 + o5) or "
1107 "(N >= 2 and o3 <= -1 + i3 and o0 <= -1 + i0 and "
1108 "o6 >= i3 + i6 - o3 and M >= 0 and "
1109 "2o6 >= 1 + i0 + i3 + 2i6 - o0 - o3 and "
1110 "o6 >= 1 - M + i0 + i6 - o0 and N >= 2M and o6 >= i0 + i6 - o0) }";
1111 map = isl_map_read_from_str(ctx, str);
1112 map = isl_map_coalesce(map);
1113 map2 = isl_map_read_from_str(ctx, str);
1114 assert(isl_map_is_equal(map, map2));
1115 isl_map_free(map);
1116 isl_map_free(map2);
1117
1118 str = "[M, N] -> { [] -> [o0] : (o0 = 0 and M >= 1 and N >= 2) or "
1119 "(o0 = 0 and M >= 1 and N >= 2M and N >= 2 + M) or "
1120 "(o0 = 0 and M >= 2 and N >= 3) or "
1121 "(M = 0 and o0 = 0 and N >= 3) }";
1122 map = isl_map_read_from_str(ctx, str);
1123 map = isl_map_coalesce(map);
1124 map2 = isl_map_read_from_str(ctx, str);
1125 assert(isl_map_is_equal(map, map2));
1126 isl_map_free(map);
1127 isl_map_free(map2);
1128
1129 str = "{ [i0, i1, i2, i3] : (i1 = 10i0 and i0 >= 1 and 10i0 <= 100 and "
1130 "i3 <= 9 + 10 i2 and i3 >= 1 + 10i2 and i3 >= 0) or "
1131 "(i1 <= 9 + 10i0 and i1 >= 1 + 10i0 and i2 >= 0 and "
1132 "i0 >= 0 and i1 <= 100 and i3 <= 9 + 10i2 and i3 >= 1 + 10i2) }";
1133 map = isl_map_read_from_str(ctx, str);
1134 map = isl_map_coalesce(map);
1135 map2 = isl_map_read_from_str(ctx, str);
1136 assert(isl_map_is_equal(map, map2));
1137 isl_map_free(map);
1138 isl_map_free(map2);
1139
1140 test_coalesce_set(ctx,
1141 "[M] -> { [i1] : (i1 >= 2 and i1 <= M) or "
1142 "(i1 = M and M >= 1) }", 0);
1143 test_coalesce_set(ctx,
1144 "{[x,y] : x,y >= 0; [x,y] : 10 <= x <= 20 and y >= -1 }", 0);
1145 test_coalesce_set(ctx,
1146 "{ [x, y] : (x >= 1 and y >= 1 and x <= 2 and y <= 2) or "
1147 "(y = 3 and x = 1) }", 1);
1148 test_coalesce_set(ctx,
1149 "[M] -> { [i0, i1, i2, i3, i4] : (i1 >= 3 and i4 >= 2 + i2 and "
1150 "i2 >= 2 and i0 >= 2 and i3 >= 1 + i2 and i0 <= M and "
1151 "i1 <= M and i3 <= M and i4 <= M) or "
1152 "(i1 >= 2 and i4 >= 1 + i2 and i2 >= 2 and i0 >= 2 and "
1153 "i3 >= 1 + i2 and i0 <= M and i1 <= -1 + M and i3 <= M and "
1154 "i4 <= -1 + M) }", 1);
1155 test_coalesce_set(ctx,
1156 "{ [x, y] : (x >= 0 and y >= 0 and x <= 10 and y <= 10) or "
1157 "(x >= 1 and y >= 1 and x <= 11 and y <= 11) }", 1);
1158 if (test_coalesce_unbounded_wrapping(ctx) < 0)
1159 return -1;
1160 if (test_coalesce_set(ctx, "{[x,0] : x >= 0; [x,1] : x <= 20}", 0) < 0)
1161 return -1;
1162 if (test_coalesce_set(ctx, "{ [x, 1 - x] : 0 <= x <= 1; [0,0] }", 1) < 0)
1163 return -1;
1164 if (test_coalesce_set(ctx, "{ [0,0]; [i,i] : 1 <= i <= 10 }", 1) < 0)
1165 return -1;
1166 if (test_coalesce_set(ctx, "{ [0,0]; [i,j] : 1 <= i,j <= 10 }", 0) < 0)
1167 return -1;
1168 if (test_coalesce_set(ctx, "{ [0,0]; [i,2i] : 1 <= i <= 10 }", 1) < 0)
1169 return -1;
1170 if (test_coalesce_set(ctx, "{ [0,0]; [i,2i] : 2 <= i <= 10 }", 0) < 0)
1171 return -1;
1172 if (test_coalesce_set(ctx, "{ [1,0]; [i,2i] : 1 <= i <= 10 }", 0) < 0)
1173 return -1;
1174 if (test_coalesce_set(ctx, "{ [0,1]; [i,2i] : 1 <= i <= 10 }", 0) < 0)
1175 return -1;
1176 if (test_coalesce_set(ctx, "{ [a, b] : exists e : 2e = a and "
1177 "a >= 0 and (a <= 3 or (b <= 0 and b >= -4 + a)) }", 0) < 0)
1178 return -1;
1179 if (test_coalesce_set(ctx,
1180 "{ [i, j, i', j'] : i <= 2 and j <= 2 and "
1181 "j' >= -1 + 2i + j - 2i' and i' <= -1 + i and "
1182 "j >= 1 and j' <= i + j - i' and i >= 1; "
1183 "[1, 1, 1, 1] }", 0) < 0)
1184 return -1;
1185 if (test_coalesce_set(ctx, "{ [i,j] : exists a,b : i = 2a and j = 3b; "
1186 "[i,j] : exists a : j = 3a }", 1) < 0)
1187 return -1;
1188 return 0;
1189 }
1190
1191 void test_closure(struct isl_ctx *ctx)
1192 {
1193 const char *str;
1194 isl_set *dom;
1195 isl_map *up, *right;
1196 isl_map *map, *map2;
1197 int exact;
1198
1199 /* COCOA example 1 */
1200 map = isl_map_read_from_str(ctx,
1201 "[n] -> { [i,j] -> [i2,j2] : i2 = i + 1 and j2 = j + 1 and "
1202 "1 <= i and i < n and 1 <= j and j < n or "
1203 "i2 = i + 1 and j2 = j - 1 and "
1204 "1 <= i and i < n and 2 <= j and j <= n }");
1205 map = isl_map_power(map, &exact);
1206 assert(exact);
1207 isl_map_free(map);
1208
1209 /* COCOA example 1 */
1210 map = isl_map_read_from_str(ctx,
1211 "[n] -> { [i,j] -> [i2,j2] : i2 = i + 1 and j2 = j + 1 and "
1212 "1 <= i and i < n and 1 <= j and j < n or "
1213 "i2 = i + 1 and j2 = j - 1 and "
1214 "1 <= i and i < n and 2 <= j and j <= n }");
1215 map = isl_map_transitive_closure(map, &exact);
1216 assert(exact);
1217 map2 = isl_map_read_from_str(ctx,
1218 "[n] -> { [i,j] -> [i2,j2] : exists (k1,k2,k : "
1219 "1 <= i and i < n and 1 <= j and j <= n and "
1220 "2 <= i2 and i2 <= n and 1 <= j2 and j2 <= n and "
1221 "i2 = i + k1 + k2 and j2 = j + k1 - k2 and "
1222 "k1 >= 0 and k2 >= 0 and k1 + k2 = k and k >= 1 )}");
1223 assert(isl_map_is_equal(map, map2));
1224 isl_map_free(map2);
1225 isl_map_free(map);
1226
1227 map = isl_map_read_from_str(ctx,
1228 "[n] -> { [x] -> [y] : y = x + 1 and 0 <= x and x <= n and "
1229 " 0 <= y and y <= n }");
1230 map = isl_map_transitive_closure(map, &exact);
1231 map2 = isl_map_read_from_str(ctx,
1232 "[n] -> { [x] -> [y] : y > x and 0 <= x and x <= n and "
1233 " 0 <= y and y <= n }");
1234 assert(isl_map_is_equal(map, map2));
1235 isl_map_free(map2);
1236 isl_map_free(map);
1237
1238 /* COCOA example 2 */
1239 map = isl_map_read_from_str(ctx,
1240 "[n] -> { [i,j] -> [i2,j2] : i2 = i + 2 and j2 = j + 2 and "
1241 "1 <= i and i < n - 1 and 1 <= j and j < n - 1 or "
1242 "i2 = i + 2 and j2 = j - 2 and "
1243 "1 <= i and i < n - 1 and 3 <= j and j <= n }");
1244 map = isl_map_transitive_closure(map, &exact);
1245 assert(exact);
1246 map2 = isl_map_read_from_str(ctx,
1247 "[n] -> { [i,j] -> [i2,j2] : exists (k1,k2,k : "
1248 "1 <= i and i < n - 1 and 1 <= j and j <= n and "
1249 "3 <= i2 and i2 <= n and 1 <= j2 and j2 <= n and "
1250 "i2 = i + 2 k1 + 2 k2 and j2 = j + 2 k1 - 2 k2 and "
1251 "k1 >= 0 and k2 >= 0 and k1 + k2 = k and k >= 1) }");
1252 assert(isl_map_is_equal(map, map2));
1253 isl_map_free(map);
1254 isl_map_free(map2);
1255
1256 /* COCOA Fig.2 left */
1257 map = isl_map_read_from_str(ctx,
1258 "[n] -> { [i,j] -> [i2,j2] : i2 = i + 2 and j2 = j and "
1259 "i <= 2 j - 3 and i <= n - 2 and j <= 2 i - 1 and "
1260 "j <= n or "
1261 "i2 = i and j2 = j + 2 and i <= 2 j - 1 and i <= n and "
1262 "j <= 2 i - 3 and j <= n - 2 or "
1263 "i2 = i + 1 and j2 = j + 1 and i <= 2 j - 1 and "
1264 "i <= n - 1 and j <= 2 i - 1 and j <= n - 1 }");
1265 map = isl_map_transitive_closure(map, &exact);
1266 assert(exact);
1267 isl_map_free(map);
1268
1269 /* COCOA Fig.2 right */
1270 map = isl_map_read_from_str(ctx,
1271 "[n] -> { [i,j] -> [i2,j2] : i2 = i + 3 and j2 = j and "
1272 "i <= 2 j - 4 and i <= n - 3 and j <= 2 i - 1 and "
1273 "j <= n or "
1274 "i2 = i and j2 = j + 3 and i <= 2 j - 1 and i <= n and "
1275 "j <= 2 i - 4 and j <= n - 3 or "
1276 "i2 = i + 1 and j2 = j + 1 and i <= 2 j - 1 and "
1277 "i <= n - 1 and j <= 2 i - 1 and j <= n - 1 }");
1278 map = isl_map_power(map, &exact);
1279 assert(exact);
1280 isl_map_free(map);
1281
1282 /* COCOA Fig.2 right */
1283 map = isl_map_read_from_str(ctx,
1284 "[n] -> { [i,j] -> [i2,j2] : i2 = i + 3 and j2 = j and "
1285 "i <= 2 j - 4 and i <= n - 3 and j <= 2 i - 1 and "
1286 "j <= n or "
1287 "i2 = i and j2 = j + 3 and i <= 2 j - 1 and i <= n and "
1288 "j <= 2 i - 4 and j <= n - 3 or "
1289 "i2 = i + 1 and j2 = j + 1 and i <= 2 j - 1 and "
1290 "i <= n - 1 and j <= 2 i - 1 and j <= n - 1 }");
1291 map = isl_map_transitive_closure(map, &exact);
1292 assert(exact);
1293 map2 = isl_map_read_from_str(ctx,
1294 "[n] -> { [i,j] -> [i2,j2] : exists (k1,k2,k3,k : "
1295 "i <= 2 j - 1 and i <= n and j <= 2 i - 1 and "
1296 "j <= n and 3 + i + 2 j <= 3 n and "
1297 "3 + 2 i + j <= 3n and i2 <= 2 j2 -1 and i2 <= n and "
1298 "i2 <= 3 j2 - 4 and j2 <= 2 i2 -1 and j2 <= n and "
1299 "13 + 4 j2 <= 11 i2 and i2 = i + 3 k1 + k3 and "
1300 "j2 = j + 3 k2 + k3 and k1 >= 0 and k2 >= 0 and "
1301 "k3 >= 0 and k1 + k2 + k3 = k and k > 0) }");
1302 assert(isl_map_is_equal(map, map2));
1303 isl_map_free(map2);
1304 isl_map_free(map);
1305
1306 /* COCOA Fig.1 right */
1307 dom = isl_set_read_from_str(ctx,
1308 "{ [x,y] : x >= 0 and -2 x + 3 y >= 0 and x <= 3 and "
1309 "2 x - 3 y + 3 >= 0 }");
1310 right = isl_map_read_from_str(ctx,
1311 "{ [x,y] -> [x2,y2] : x2 = x + 1 and y2 = y }");
1312 up = isl_map_read_from_str(ctx,
1313 "{ [x,y] -> [x2,y2] : x2 = x and y2 = y + 1 }");
1314 right = isl_map_intersect_domain(right, isl_set_copy(dom));
1315 right = isl_map_intersect_range(right, isl_set_copy(dom));
1316 up = isl_map_intersect_domain(up, isl_set_copy(dom));
1317 up = isl_map_intersect_range(up, dom);
1318 map = isl_map_union(up, right);
1319 map = isl_map_transitive_closure(map, &exact);
1320 assert(exact);
1321 map2 = isl_map_read_from_str(ctx,
1322 "{ [0,0] -> [0,1]; [0,0] -> [1,1]; [0,1] -> [1,1]; "
1323 " [2,2] -> [3,2]; [2,2] -> [3,3]; [3,2] -> [3,3] }");
1324 assert(isl_map_is_equal(map, map2));
1325 isl_map_free(map2);
1326 isl_map_free(map);
1327
1328 /* COCOA Theorem 1 counter example */
1329 map = isl_map_read_from_str(ctx,
1330 "{ [i,j] -> [i2,j2] : i = 0 and 0 <= j and j <= 1 and "
1331 "i2 = 1 and j2 = j or "
1332 "i = 0 and j = 0 and i2 = 0 and j2 = 1 }");
1333 map = isl_map_transitive_closure(map, &exact);
1334 assert(exact);
1335 isl_map_free(map);
1336
1337 map = isl_map_read_from_str(ctx,
1338 "[m,n] -> { [i,j] -> [i2,j2] : i2 = i and j2 = j + 2 and "
1339 "1 <= i,i2 <= n and 1 <= j,j2 <= m or "
1340 "i2 = i + 1 and 3 <= j2 - j <= 4 and "
1341 "1 <= i,i2 <= n and 1 <= j,j2 <= m }");
1342 map = isl_map_transitive_closure(map, &exact);
1343 assert(exact);
1344 isl_map_free(map);
1345
1346 /* Kelly et al 1996, fig 12 */
1347 map = isl_map_read_from_str(ctx,
1348 "[n] -> { [i,j] -> [i2,j2] : i2 = i and j2 = j + 1 and "
1349 "1 <= i,j,j+1 <= n or "
1350 "j = n and j2 = 1 and i2 = i + 1 and "
1351 "1 <= i,i+1 <= n }");
1352 map = isl_map_transitive_closure(map, &exact);
1353 assert(exact);
1354 map2 = isl_map_read_from_str(ctx,
1355 "[n] -> { [i,j] -> [i2,j2] : 1 <= j < j2 <= n and "
1356 "1 <= i <= n and i = i2 or "
1357 "1 <= i < i2 <= n and 1 <= j <= n and "
1358 "1 <= j2 <= n }");
1359 assert(isl_map_is_equal(map, map2));
1360 isl_map_free(map2);
1361 isl_map_free(map);
1362
1363 /* Omega's closure4 */
1364 map = isl_map_read_from_str(ctx,
1365 "[m,n] -> { [x,y] -> [x2,y2] : x2 = x and y2 = y + 1 and "
1366 "1 <= x,y <= 10 or "
1367 "x2 = x + 1 and y2 = y and "
1368 "1 <= x <= 20 && 5 <= y <= 15 }");
1369 map = isl_map_transitive_closure(map, &exact);
1370 assert(exact);
1371 isl_map_free(map);
1372
1373 map = isl_map_read_from_str(ctx,
1374 "[n] -> { [x] -> [y]: 1 <= n <= y - x <= 10 }");
1375 map = isl_map_transitive_closure(map, &exact);
1376 assert(!exact);
1377 map2 = isl_map_read_from_str(ctx,
1378 "[n] -> { [x] -> [y] : 1 <= n <= 10 and y >= n + x }");
1379 assert(isl_map_is_equal(map, map2));
1380 isl_map_free(map);
1381 isl_map_free(map2);
1382
1383 str = "[n, m] -> { [i0, i1, i2, i3] -> [o0, o1, o2, o3] : "
1384 "i3 = 1 and o0 = i0 and o1 = -1 + i1 and o2 = -1 + i2 and "
1385 "o3 = -2 + i2 and i1 <= -1 + i0 and i1 >= 1 - m + i0 and "
1386 "i1 >= 2 and i1 <= n and i2 >= 3 and i2 <= 1 + n and i2 <= m }";
1387 map = isl_map_read_from_str(ctx, str);
1388 map = isl_map_transitive_closure(map, &exact);
1389 assert(exact);
1390 map2 = isl_map_read_from_str(ctx, str);
1391 assert(isl_map_is_equal(map, map2));
1392 isl_map_free(map);
1393 isl_map_free(map2);
1394
1395 str = "{[0] -> [1]; [2] -> [3]}";
1396 map = isl_map_read_from_str(ctx, str);
1397 map = isl_map_transitive_closure(map, &exact);
1398 assert(exact);
1399 map2 = isl_map_read_from_str(ctx, str);
1400 assert(isl_map_is_equal(map, map2));
1401 isl_map_free(map);
1402 isl_map_free(map2);
1403
1404 str = "[n] -> { [[i0, i1, 1, 0, i0] -> [i5, 1]] -> "
1405 "[[i0, -1 + i1, 2, 0, i0] -> [-1 + i5, 2]] : "
1406 "exists (e0 = [(3 - n)/3]: i5 >= 2 and i1 >= 2 and "
1407 "3i0 <= -1 + n and i1 <= -1 + n and i5 <= -1 + n and "
1408 "3e0 >= 1 - n and 3e0 <= 2 - n and 3i0 >= -2 + n); "
1409 "[[i0, i1, 2, 0, i0] -> [i5, 1]] -> "
1410 "[[i0, i1, 1, 0, i0] -> [-1 + i5, 2]] : "
1411 "exists (e0 = [(3 - n)/3]: i5 >= 2 and i1 >= 1 and "
1412 "3i0 <= -1 + n and i1 <= -1 + n and i5 <= -1 + n and "
1413 "3e0 >= 1 - n and 3e0 <= 2 - n and 3i0 >= -2 + n); "
1414 "[[i0, i1, 1, 0, i0] -> [i5, 2]] -> "
1415 "[[i0, -1 + i1, 2, 0, i0] -> [i5, 1]] : "
1416 "exists (e0 = [(3 - n)/3]: i1 >= 2 and i5 >= 1 and "
1417 "3i0 <= -1 + n and i1 <= -1 + n and i5 <= -1 + n and "
1418 "3e0 >= 1 - n and 3e0 <= 2 - n and 3i0 >= -2 + n); "
1419 "[[i0, i1, 2, 0, i0] -> [i5, 2]] -> "
1420 "[[i0, i1, 1, 0, i0] -> [i5, 1]] : "
1421 "exists (e0 = [(3 - n)/3]: i5 >= 1 and i1 >= 1 and "
1422 "3i0 <= -1 + n and i1 <= -1 + n and i5 <= -1 + n and "
1423 "3e0 >= 1 - n and 3e0 <= 2 - n and 3i0 >= -2 + n) }";
1424 map = isl_map_read_from_str(ctx, str);
1425 map = isl_map_transitive_closure(map, NULL);
1426 assert(map);
1427 isl_map_free(map);
1428 }
1429
1430 void test_lex(struct isl_ctx *ctx)
1431 {
1432 isl_space *dim;
1433 isl_map *map;
1434
1435 dim = isl_space_set_alloc(ctx, 0, 0);
1436 map = isl_map_lex_le(dim);
1437 assert(!isl_map_is_empty(map));
1438 isl_map_free(map);
1439 }
1440
1441 void test_lexmin(struct isl_ctx *ctx)
1442 {
1443 const char *str;
1444 isl_basic_map *bmap;
1445 isl_map *map, *map2;
1446 isl_set *set;
1447 isl_set *set2;
1448 isl_pw_multi_aff *pma;
1449
1450 str = "[p0, p1] -> { [] -> [] : "
1451 "exists (e0 = [(2p1)/3], e1, e2, e3 = [(3 - p1 + 3e0)/3], "
1452 "e4 = [(p1)/3], e5 = [(p1 + 3e4)/3]: "
1453 "3e0 >= -2 + 2p1 and 3e0 >= p1 and 3e3 >= 1 - p1 + 3e0 and "
1454 "3e0 <= 2p1 and 3e3 >= -2 + p1 and 3e3 <= -1 + p1 and p1 >= 3 and "
1455 "3e5 >= -2 + 2p1 and 3e5 >= p1 and 3e5 <= -1 + p1 + 3e4 and "
1456 "3e4 <= p1 and 3e4 >= -2 + p1 and e3 <= -1 + e0 and "
1457 "3e4 >= 6 - p1 + 3e1 and 3e1 >= p1 and 3e5 >= -2 + p1 + 3e4 and "
1458 "2e4 >= 3 - p1 + 2e1 and e4 <= e1 and 3e3 <= 2 - p1 + 3e0 and "
1459 "e5 >= 1 + e1 and 3e4 >= 6 - 2p1 + 3e1 and "
1460 "p0 >= 2 and p1 >= p0 and 3e2 >= p1 and 3e4 >= 6 - p1 + 3e2 and "
1461 "e2 <= e1 and e3 >= 1 and e4 <= e2) }";
1462 map = isl_map_read_from_str(ctx, str);
1463 map = isl_map_lexmin(map);
1464 isl_map_free(map);
1465
1466 str = "[C] -> { [obj,a,b,c] : obj <= 38 a + 7 b + 10 c and "
1467 "a + b <= 1 and c <= 10 b and c <= C and a,b,c,C >= 0 }";
1468 set = isl_set_read_from_str(ctx, str);
1469 set = isl_set_lexmax(set);
1470 str = "[C] -> { [obj,a,b,c] : C = 8 }";
1471 set2 = isl_set_read_from_str(ctx, str);
1472 set = isl_set_intersect(set, set2);
1473 assert(!isl_set_is_empty(set));
1474 isl_set_free(set);
1475
1476 str = "{ [x] -> [y] : x <= y <= 10; [x] -> [5] : -8 <= x <= 8 }";
1477 map = isl_map_read_from_str(ctx, str);
1478 map = isl_map_lexmin(map);
1479 str = "{ [x] -> [5] : 6 <= x <= 8; "
1480 "[x] -> [x] : x <= 5 or (9 <= x <= 10) }";
1481 map2 = isl_map_read_from_str(ctx, str);
1482 assert(isl_map_is_equal(map, map2));
1483 isl_map_free(map);
1484 isl_map_free(map2);
1485
1486 str = "{ [x] -> [y] : 4y = x or 4y = -1 + x or 4y = -2 + x }";
1487 map = isl_map_read_from_str(ctx, str);
1488 map2 = isl_map_copy(map);
1489 map = isl_map_lexmin(map);
1490 assert(isl_map_is_equal(map, map2));
1491 isl_map_free(map);
1492 isl_map_free(map2);
1493
1494 str = "{ [x] -> [y] : x = 4y; [x] -> [y] : x = 2y }";
1495 map = isl_map_read_from_str(ctx, str);
1496 map = isl_map_lexmin(map);
1497 str = "{ [x] -> [y] : (4y = x and x >= 0) or "
1498 "(exists (e0 = [(x)/4], e1 = [(-2 + x)/4]: 2y = x and "
1499 "4e1 = -2 + x and 4e0 <= -1 + x and 4e0 >= -3 + x)) or "
1500 "(exists (e0 = [(x)/4]: 2y = x and 4e0 = x and x <= -4)) }";
1501 map2 = isl_map_read_from_str(ctx, str);
1502 assert(isl_map_is_equal(map, map2));
1503 isl_map_free(map);
1504 isl_map_free(map2);
1505
1506 str = "{ [i] -> [i', j] : j = i - 8i' and i' >= 0 and i' <= 7 and "
1507 " 8i' <= i and 8i' >= -7 + i }";
1508 bmap = isl_basic_map_read_from_str(ctx, str);
1509 pma = isl_basic_map_lexmin_pw_multi_aff(isl_basic_map_copy(bmap));
1510 map2 = isl_map_from_pw_multi_aff(pma);
1511 map = isl_map_from_basic_map(bmap);
1512 assert(isl_map_is_equal(map, map2));
1513 isl_map_free(map);
1514 isl_map_free(map2);
1515
1516 str = "{ T[a] -> S[b, c] : a = 4b-2c and c >= b }";
1517 map = isl_map_read_from_str(ctx, str);
1518 map = isl_map_lexmin(map);
1519 str = "{ T[a] -> S[b, c] : 2b = a and 2c = a }";
1520 map2 = isl_map_read_from_str(ctx, str);
1521 assert(isl_map_is_equal(map, map2));
1522 isl_map_free(map);
1523 isl_map_free(map2);
1524 }
1525
1526 struct must_may {
1527 isl_map *must;
1528 isl_map *may;
1529 };
1530
1531 static int collect_must_may(__isl_take isl_map *dep, int must,
1532 void *dep_user, void *user)
1533 {
1534 struct must_may *mm = (struct must_may *)user;
1535
1536 if (must)
1537 mm->must = isl_map_union(mm->must, dep);
1538 else
1539 mm->may = isl_map_union(mm->may, dep);
1540
1541 return 0;
1542 }
1543
1544 static int common_space(void *first, void *second)
1545 {
1546 int depth = *(int *)first;
1547 return 2 * depth;
1548 }
1549
1550 static int map_is_equal(__isl_keep isl_map *map, const char *str)
1551 {
1552 isl_map *map2;
1553 int equal;
1554
1555 if (!map)
1556 return -1;
1557
1558 map2 = isl_map_read_from_str(map->ctx, str);
1559 equal = isl_map_is_equal(map, map2);
1560 isl_map_free(map2);
1561
1562 return equal;
1563 }
1564
1565 static int map_check_equal(__isl_keep isl_map *map, const char *str)
1566 {
1567 int equal;
1568
1569 equal = map_is_equal(map, str);
1570 if (equal < 0)
1571 return -1;
1572 if (!equal)
1573 isl_die(isl_map_get_ctx(map), isl_error_unknown,
1574 "result not as expected", return -1);
1575 return 0;
1576 }
1577
1578 void test_dep(struct isl_ctx *ctx)
1579 {
1580 const char *str;
1581 isl_space *dim;
1582 isl_map *map;
1583 isl_access_info *ai;
1584 isl_flow *flow;
1585 int depth;
1586 struct must_may mm;
1587
1588 depth = 3;
1589
1590 str = "{ [2,i,0] -> [i] : 0 <= i <= 10 }";
1591 map = isl_map_read_from_str(ctx, str);
1592 ai = isl_access_info_alloc(map, &depth, &common_space, 2);
1593
1594 str = "{ [0,i,0] -> [i] : 0 <= i <= 10 }";
1595 map = isl_map_read_from_str(ctx, str);
1596 ai = isl_access_info_add_source(ai, map, 1, &depth);
1597
1598 str = "{ [1,i,0] -> [5] : 0 <= i <= 10 }";
1599 map = isl_map_read_from_str(ctx, str);
1600 ai = isl_access_info_add_source(ai, map, 1, &depth);
1601
1602 flow = isl_access_info_compute_flow(ai);
1603 dim = isl_space_alloc(ctx, 0, 3, 3);
1604 mm.must = isl_map_empty(isl_space_copy(dim));
1605 mm.may = isl_map_empty(dim);
1606
1607 isl_flow_foreach(flow, collect_must_may, &mm);
1608
1609 str = "{ [0,i,0] -> [2,i,0] : (0 <= i <= 4) or (6 <= i <= 10); "
1610 " [1,10,0] -> [2,5,0] }";
1611 assert(map_is_equal(mm.must, str));
1612 str = "{ [i,j,k] -> [l,m,n] : 1 = 0 }";
1613 assert(map_is_equal(mm.may, str));
1614
1615 isl_map_free(mm.must);
1616 isl_map_free(mm.may);
1617 isl_flow_free(flow);
1618
1619
1620 str = "{ [2,i,0] -> [i] : 0 <= i <= 10 }";
1621 map = isl_map_read_from_str(ctx, str);
1622 ai = isl_access_info_alloc(map, &depth, &common_space, 2);
1623
1624 str = "{ [0,i,0] -> [i] : 0 <= i <= 10 }";
1625 map = isl_map_read_from_str(ctx, str);
1626 ai = isl_access_info_add_source(ai, map, 1, &depth);
1627
1628 str = "{ [1,i,0] -> [5] : 0 <= i <= 10 }";
1629 map = isl_map_read_from_str(ctx, str);
1630 ai = isl_access_info_add_source(ai, map, 0, &depth);
1631
1632 flow = isl_access_info_compute_flow(ai);
1633 dim = isl_space_alloc(ctx, 0, 3, 3);
1634 mm.must = isl_map_empty(isl_space_copy(dim));
1635 mm.may = isl_map_empty(dim);
1636
1637 isl_flow_foreach(flow, collect_must_may, &mm);
1638
1639 str = "{ [0,i,0] -> [2,i,0] : (0 <= i <= 4) or (6 <= i <= 10) }";
1640 assert(map_is_equal(mm.must, str));
1641 str = "{ [0,5,0] -> [2,5,0]; [1,i,0] -> [2,5,0] : 0 <= i <= 10 }";
1642 assert(map_is_equal(mm.may, str));
1643
1644 isl_map_free(mm.must);
1645 isl_map_free(mm.may);
1646 isl_flow_free(flow);
1647
1648
1649 str = "{ [2,i,0] -> [i] : 0 <= i <= 10 }";
1650 map = isl_map_read_from_str(ctx, str);
1651 ai = isl_access_info_alloc(map, &depth, &common_space, 2);
1652
1653 str = "{ [0,i,0] -> [i] : 0 <= i <= 10 }";
1654 map = isl_map_read_from_str(ctx, str);
1655 ai = isl_access_info_add_source(ai, map, 0, &depth);
1656
1657 str = "{ [1,i,0] -> [5] : 0 <= i <= 10 }";
1658 map = isl_map_read_from_str(ctx, str);
1659 ai = isl_access_info_add_source(ai, map, 0, &depth);
1660
1661 flow = isl_access_info_compute_flow(ai);
1662 dim = isl_space_alloc(ctx, 0, 3, 3);
1663 mm.must = isl_map_empty(isl_space_copy(dim));
1664 mm.may = isl_map_empty(dim);
1665
1666 isl_flow_foreach(flow, collect_must_may, &mm);
1667
1668 str = "{ [0,i,0] -> [2,i,0] : 0 <= i <= 10; "
1669 " [1,i,0] -> [2,5,0] : 0 <= i <= 10 }";
1670 assert(map_is_equal(mm.may, str));
1671 str = "{ [i,j,k] -> [l,m,n] : 1 = 0 }";
1672 assert(map_is_equal(mm.must, str));
1673
1674 isl_map_free(mm.must);
1675 isl_map_free(mm.may);
1676 isl_flow_free(flow);
1677
1678
1679 str = "{ [0,i,2] -> [i] : 0 <= i <= 10 }";
1680 map = isl_map_read_from_str(ctx, str);
1681 ai = isl_access_info_alloc(map, &depth, &common_space, 2);
1682
1683 str = "{ [0,i,0] -> [i] : 0 <= i <= 10 }";
1684 map = isl_map_read_from_str(ctx, str);
1685 ai = isl_access_info_add_source(ai, map, 0, &depth);
1686
1687 str = "{ [0,i,1] -> [5] : 0 <= i <= 10 }";
1688 map = isl_map_read_from_str(ctx, str);
1689 ai = isl_access_info_add_source(ai, map, 0, &depth);
1690
1691 flow = isl_access_info_compute_flow(ai);
1692 dim = isl_space_alloc(ctx, 0, 3, 3);
1693 mm.must = isl_map_empty(isl_space_copy(dim));
1694 mm.may = isl_map_empty(dim);
1695
1696 isl_flow_foreach(flow, collect_must_may, &mm);
1697
1698 str = "{ [0,i,0] -> [0,i,2] : 0 <= i <= 10; "
1699 " [0,i,1] -> [0,5,2] : 0 <= i <= 5 }";
1700 assert(map_is_equal(mm.may, str));
1701 str = "{ [i,j,k] -> [l,m,n] : 1 = 0 }";
1702 assert(map_is_equal(mm.must, str));
1703
1704 isl_map_free(mm.must);
1705 isl_map_free(mm.may);
1706 isl_flow_free(flow);
1707
1708
1709 str = "{ [0,i,1] -> [i] : 0 <= i <= 10 }";
1710 map = isl_map_read_from_str(ctx, str);
1711 ai = isl_access_info_alloc(map, &depth, &common_space, 2);
1712
1713 str = "{ [0,i,0] -> [i] : 0 <= i <= 10 }";
1714 map = isl_map_read_from_str(ctx, str);
1715 ai = isl_access_info_add_source(ai, map, 0, &depth);
1716
1717 str = "{ [0,i,2] -> [5] : 0 <= i <= 10 }";
1718 map = isl_map_read_from_str(ctx, str);
1719 ai = isl_access_info_add_source(ai, map, 0, &depth);
1720
1721 flow = isl_access_info_compute_flow(ai);
1722 dim = isl_space_alloc(ctx, 0, 3, 3);
1723 mm.must = isl_map_empty(isl_space_copy(dim));
1724 mm.may = isl_map_empty(dim);
1725
1726 isl_flow_foreach(flow, collect_must_may, &mm);
1727
1728 str = "{ [0,i,0] -> [0,i,1] : 0 <= i <= 10; "
1729 " [0,i,2] -> [0,5,1] : 0 <= i <= 4 }";
1730 assert(map_is_equal(mm.may, str));
1731 str = "{ [i,j,k] -> [l,m,n] : 1 = 0 }";
1732 assert(map_is_equal(mm.must, str));
1733
1734 isl_map_free(mm.must);
1735 isl_map_free(mm.may);
1736 isl_flow_free(flow);
1737
1738
1739 depth = 5;
1740
1741 str = "{ [1,i,0,0,0] -> [i,j] : 0 <= i <= 10 and 0 <= j <= 10 }";
1742 map = isl_map_read_from_str(ctx, str);
1743 ai = isl_access_info_alloc(map, &depth, &common_space, 1);
1744
1745 str = "{ [0,i,0,j,0] -> [i,j] : 0 <= i <= 10 and 0 <= j <= 10 }";
1746 map = isl_map_read_from_str(ctx, str);
1747 ai = isl_access_info_add_source(ai, map, 1, &depth);
1748
1749 flow = isl_access_info_compute_flow(ai);
1750 dim = isl_space_alloc(ctx, 0, 5, 5);
1751 mm.must = isl_map_empty(isl_space_copy(dim));
1752 mm.may = isl_map_empty(dim);
1753
1754 isl_flow_foreach(flow, collect_must_may, &mm);
1755
1756 str = "{ [0,i,0,j,0] -> [1,i,0,0,0] : 0 <= i,j <= 10 }";
1757 assert(map_is_equal(mm.must, str));
1758 str = "{ [0,0,0,0,0] -> [0,0,0,0,0] : 1 = 0 }";
1759 assert(map_is_equal(mm.may, str));
1760
1761 isl_map_free(mm.must);
1762 isl_map_free(mm.may);
1763 isl_flow_free(flow);
1764 }
1765
1766 int test_sv(isl_ctx *ctx)
1767 {
1768 const char *str;
1769 isl_map *map;
1770 isl_union_map *umap;
1771 int sv;
1772
1773 str = "[N] -> { [i] -> [f] : 0 <= i <= N and 0 <= i - 10 f <= 9 }";
1774 map = isl_map_read_from_str(ctx, str);
1775 sv = isl_map_is_single_valued(map);
1776 isl_map_free(map);
1777 if (sv < 0)
1778 return -1;
1779 if (!sv)
1780 isl_die(ctx, isl_error_internal,
1781 "map not detected as single valued", return -1);
1782
1783 str = "[N] -> { [i] -> [f] : 0 <= i <= N and 0 <= i - 10 f <= 10 }";
1784 map = isl_map_read_from_str(ctx, str);
1785 sv = isl_map_is_single_valued(map);
1786 isl_map_free(map);
1787 if (sv < 0)
1788 return -1;
1789 if (sv)
1790 isl_die(ctx, isl_error_internal,
1791 "map detected as single valued", return -1);
1792
1793 str = "{ S1[i] -> [i] : 0 <= i <= 9; S2[i] -> [i] : 0 <= i <= 9 }";
1794 umap = isl_union_map_read_from_str(ctx, str);
1795 sv = isl_union_map_is_single_valued(umap);
1796 isl_union_map_free(umap);
1797 if (sv < 0)
1798 return -1;
1799 if (!sv)
1800 isl_die(ctx, isl_error_internal,
1801 "map not detected as single valued", return -1);
1802
1803 str = "{ [i] -> S1[i] : 0 <= i <= 9; [i] -> S2[i] : 0 <= i <= 9 }";
1804 umap = isl_union_map_read_from_str(ctx, str);
1805 sv = isl_union_map_is_single_valued(umap);
1806 isl_union_map_free(umap);
1807 if (sv < 0)
1808 return -1;
1809 if (sv)
1810 isl_die(ctx, isl_error_internal,
1811 "map detected as single valued", return -1);
1812
1813 return 0;
1814 }
1815
1816 void test_bijective_case(struct isl_ctx *ctx, const char *str, int bijective)
1817 {
1818 isl_map *map;
1819
1820 map = isl_map_read_from_str(ctx, str);
1821 if (bijective)
1822 assert(isl_map_is_bijective(map));
1823 else
1824 assert(!isl_map_is_bijective(map));
1825 isl_map_free(map);
1826 }
1827
1828 void test_bijective(struct isl_ctx *ctx)
1829 {
1830 test_bijective_case(ctx, "[N,M]->{[i,j] -> [i]}", 0);
1831 test_bijective_case(ctx, "[N,M]->{[i,j] -> [i] : j=i}", 1);
1832 test_bijective_case(ctx, "[N,M]->{[i,j] -> [i] : j=0}", 1);
1833 test_bijective_case(ctx, "[N,M]->{[i,j] -> [i] : j=N}", 1);
1834 test_bijective_case(ctx, "[N,M]->{[i,j] -> [j,i]}", 1);
1835 test_bijective_case(ctx, "[N,M]->{[i,j] -> [i+j]}", 0);
1836 test_bijective_case(ctx, "[N,M]->{[i,j] -> []}", 0);
1837 test_bijective_case(ctx, "[N,M]->{[i,j] -> [i,j,N]}", 1);
1838 test_bijective_case(ctx, "[N,M]->{[i,j] -> [2i]}", 0);
1839 test_bijective_case(ctx, "[N,M]->{[i,j] -> [i,i]}", 0);
1840 test_bijective_case(ctx, "[N,M]->{[i,j] -> [2i,i]}", 0);
1841 test_bijective_case(ctx, "[N,M]->{[i,j] -> [2i,j]}", 1);
1842 test_bijective_case(ctx, "[N,M]->{[i,j] -> [x,y] : 2x=i & y =j}", 1);
1843 }
1844
1845 void test_pwqp(struct isl_ctx *ctx)
1846 {
1847 const char *str;
1848 isl_set *set;
1849 isl_pw_qpolynomial *pwqp1, *pwqp2;
1850
1851 str = "{ [i,j,k] -> 1 + 9 * [i/5] + 7 * [j/11] + 4 * [k/13] }";
1852 pwqp1 = isl_pw_qpolynomial_read_from_str(ctx, str);
1853
1854 pwqp1 = isl_pw_qpolynomial_move_dims(pwqp1, isl_dim_param, 0,
1855 isl_dim_in, 1, 1);
1856
1857 str = "[j] -> { [i,k] -> 1 + 9 * [i/5] + 7 * [j/11] + 4 * [k/13] }";
1858 pwqp2 = isl_pw_qpolynomial_read_from_str(ctx, str);
1859
1860 pwqp1 = isl_pw_qpolynomial_sub(pwqp1, pwqp2);
1861
1862 assert(isl_pw_qpolynomial_is_zero(pwqp1));
1863
1864 isl_pw_qpolynomial_free(pwqp1);
1865
1866 str = "{ [i] -> i }";
1867 pwqp1 = isl_pw_qpolynomial_read_from_str(ctx, str);
1868 str = "{ [k] : exists a : k = 2a }";
1869 set = isl_set_read_from_str(ctx, str);
1870 pwqp1 = isl_pw_qpolynomial_gist(pwqp1, set);
1871 str = "{ [i] -> i }";
1872 pwqp2 = isl_pw_qpolynomial_read_from_str(ctx, str);
1873
1874 pwqp1 = isl_pw_qpolynomial_sub(pwqp1, pwqp2);
1875
1876 assert(isl_pw_qpolynomial_is_zero(pwqp1));
1877
1878 isl_pw_qpolynomial_free(pwqp1);
1879
1880 str = "{ [i] -> i + [ (i + [i/3])/2 ] }";
1881 pwqp1 = isl_pw_qpolynomial_read_from_str(ctx, str);
1882 str = "{ [10] }";
1883 set = isl_set_read_from_str(ctx, str);
1884 pwqp1 = isl_pw_qpolynomial_gist(pwqp1, set);
1885 str = "{ [i] -> 16 }";
1886 pwqp2 = isl_pw_qpolynomial_read_from_str(ctx, str);
1887
1888 pwqp1 = isl_pw_qpolynomial_sub(pwqp1, pwqp2);
1889
1890 assert(isl_pw_qpolynomial_is_zero(pwqp1));
1891
1892 isl_pw_qpolynomial_free(pwqp1);
1893
1894 str = "{ [i] -> ([(i)/2]) }";
1895 pwqp1 = isl_pw_qpolynomial_read_from_str(ctx, str);
1896 str = "{ [k] : exists a : k = 2a+1 }";
1897 set = isl_set_read_from_str(ctx, str);
1898 pwqp1 = isl_pw_qpolynomial_gist(pwqp1, set);
1899 str = "{ [i] -> -1/2 + 1/2 * i }";
1900 pwqp2 = isl_pw_qpolynomial_read_from_str(ctx, str);
1901
1902 pwqp1 = isl_pw_qpolynomial_sub(pwqp1, pwqp2);
1903
1904 assert(isl_pw_qpolynomial_is_zero(pwqp1));
1905
1906 isl_pw_qpolynomial_free(pwqp1);
1907
1908 str = "{ [i] -> ([([i/2] + [i/2])/5]) }";
1909 pwqp1 = isl_pw_qpolynomial_read_from_str(ctx, str);
1910 str = "{ [i] -> ([(2 * [i/2])/5]) }";
1911 pwqp2 = isl_pw_qpolynomial_read_from_str(ctx, str);
1912
1913 pwqp1 = isl_pw_qpolynomial_sub(pwqp1, pwqp2);
1914
1915 assert(isl_pw_qpolynomial_is_zero(pwqp1));
1916
1917 isl_pw_qpolynomial_free(pwqp1);
1918
1919 str = "{ [x] -> ([x/2] + [(x+1)/2]) }";
1920 pwqp1 = isl_pw_qpolynomial_read_from_str(ctx, str);
1921 str = "{ [x] -> x }";
1922 pwqp2 = isl_pw_qpolynomial_read_from_str(ctx, str);
1923
1924 pwqp1 = isl_pw_qpolynomial_sub(pwqp1, pwqp2);
1925
1926 assert(isl_pw_qpolynomial_is_zero(pwqp1));
1927
1928 isl_pw_qpolynomial_free(pwqp1);
1929
1930 str = "{ [i] -> ([i/2]) : i >= 0; [i] -> ([i/3]) : i < 0 }";
1931 pwqp1 = isl_pw_qpolynomial_read_from_str(ctx, str);
1932 pwqp2 = isl_pw_qpolynomial_read_from_str(ctx, str);
1933 pwqp1 = isl_pw_qpolynomial_coalesce(pwqp1);
1934 pwqp1 = isl_pw_qpolynomial_sub(pwqp1, pwqp2);
1935 assert(isl_pw_qpolynomial_is_zero(pwqp1));
1936 isl_pw_qpolynomial_free(pwqp1);
1937 }
1938
1939 void test_split_periods(isl_ctx *ctx)
1940 {
1941 const char *str;
1942 isl_pw_qpolynomial *pwqp;
1943
1944 str = "{ [U,V] -> 1/3 * U + 2/3 * V - [(U + 2V)/3] + [U/2] : "
1945 "U + 2V + 3 >= 0 and - U -2V >= 0 and - U + 10 >= 0 and "
1946 "U >= 0; [U,V] -> U^2 : U >= 100 }";
1947 pwqp = isl_pw_qpolynomial_read_from_str(ctx, str);
1948
1949 pwqp = isl_pw_qpolynomial_split_periods(pwqp, 2);
1950 assert(pwqp);
1951
1952 isl_pw_qpolynomial_free(pwqp);
1953 }
1954
1955 void test_union(isl_ctx *ctx)
1956 {
1957 const char *str;
1958 isl_union_set *uset1, *uset2;
1959 isl_union_map *umap1, *umap2;
1960
1961 str = "{ [i] : 0 <= i <= 1 }";
1962 uset1 = isl_union_set_read_from_str(ctx, str);
1963 str = "{ [1] -> [0] }";
1964 umap1 = isl_union_map_read_from_str(ctx, str);
1965
1966 umap2 = isl_union_set_lex_gt_union_set(isl_union_set_copy(uset1), uset1);
1967 assert(isl_union_map_is_equal(umap1, umap2));
1968
1969 isl_union_map_free(umap1);
1970 isl_union_map_free(umap2);
1971
1972 str = "{ A[i] -> B[i]; B[i] -> C[i]; A[0] -> C[1] }";
1973 umap1 = isl_union_map_read_from_str(ctx, str);
1974 str = "{ A[i]; B[i] }";
1975 uset1 = isl_union_set_read_from_str(ctx, str);
1976
1977 uset2 = isl_union_map_domain(umap1);
1978
1979 assert(isl_union_set_is_equal(uset1, uset2));
1980
1981 isl_union_set_free(uset1);
1982 isl_union_set_free(uset2);
1983 }
1984
1985 void test_bound(isl_ctx *ctx)
1986 {
1987 const char *str;
1988 isl_pw_qpolynomial *pwqp;
1989 isl_pw_qpolynomial_fold *pwf;
1990
1991 str = "{ [[a, b, c, d] -> [e]] -> 0 }";
1992 pwqp = isl_pw_qpolynomial_read_from_str(ctx, str);
1993 pwf = isl_pw_qpolynomial_bound(pwqp, isl_fold_max, NULL);
1994 assert(isl_pw_qpolynomial_fold_dim(pwf, isl_dim_in) == 4);
1995 isl_pw_qpolynomial_fold_free(pwf);
1996
1997 str = "{ [[x]->[x]] -> 1 : exists a : x = 2 a }";
1998 pwqp = isl_pw_qpolynomial_read_from_str(ctx, str);
1999 pwf = isl_pw_qpolynomial_bound(pwqp, isl_fold_max, NULL);
2000 assert(isl_pw_qpolynomial_fold_dim(pwf, isl_dim_in) == 1);
2001 isl_pw_qpolynomial_fold_free(pwf);
2002 }
2003
2004 void test_lift(isl_ctx *ctx)
2005 {
2006 const char *str;
2007 isl_basic_map *bmap;
2008 isl_basic_set *bset;
2009
2010 str = "{ [i0] : exists e0 : i0 = 4e0 }";
2011 bset = isl_basic_set_read_from_str(ctx, str);
2012 bset = isl_basic_set_lift(bset);
2013 bmap = isl_basic_map_from_range(bset);
2014 bset = isl_basic_map_domain(bmap);
2015 isl_basic_set_free(bset);
2016 }
2017
2018 struct {
2019 const char *set1;
2020 const char *set2;
2021 int subset;
2022 } subset_tests[] = {
2023 { "{ [112, 0] }",
2024 "{ [i0, i1] : exists (e0 = [(i0 - i1)/16], e1: "
2025 "16e0 <= i0 - i1 and 16e0 >= -15 + i0 - i1 and "
2026 "16e1 <= i1 and 16e0 >= -i1 and 16e1 >= -i0 + i1) }", 1 },
2027 { "{ [65] }",
2028 "{ [i] : exists (e0 = [(255i)/256], e1 = [(127i + 65e0)/191], "
2029 "e2 = [(3i + 61e1)/65], e3 = [(52i + 12e2)/61], "
2030 "e4 = [(2i + e3)/3], e5 = [(4i + e3)/4], e6 = [(8i + e3)/12]: "
2031 "3e4 = 2i + e3 and 4e5 = 4i + e3 and 12e6 = 8i + e3 and "
2032 "i <= 255 and 64e3 >= -45 + 67i and i >= 0 and "
2033 "256e0 <= 255i and 256e0 >= -255 + 255i and "
2034 "191e1 <= 127i + 65e0 and 191e1 >= -190 + 127i + 65e0 and "
2035 "65e2 <= 3i + 61e1 and 65e2 >= -64 + 3i + 61e1 and "
2036 "61e3 <= 52i + 12e2 and 61e3 >= -60 + 52i + 12e2) }", 1 },
2037 { "{ [i] : 0 <= i <= 10 }", "{ rat: [i] : 0 <= i <= 10 }", 1 },
2038 { "{ rat: [i] : 0 <= i <= 10 }", "{ [i] : 0 <= i <= 10 }", 0 },
2039 { "{ rat: [0] }", "{ [i] : 0 <= i <= 10 }", 1 },
2040 { "{ rat: [(1)/2] }", "{ [i] : 0 <= i <= 10 }", 0 },
2041 };
2042
2043 static int test_subset(isl_ctx *ctx)
2044 {
2045 int i;
2046 isl_set *set1, *set2;
2047 int subset;
2048
2049 for (i = 0; i < ARRAY_SIZE(subset_tests); ++i) {
2050 set1 = isl_set_read_from_str(ctx, subset_tests[i].set1);
2051 set2 = isl_set_read_from_str(ctx, subset_tests[i].set2);
2052 subset = isl_set_is_subset(set1, set2);
2053 isl_set_free(set1);
2054 isl_set_free(set2);
2055 if (subset < 0)
2056 return -1;
2057 if (subset != subset_tests[i].subset)
2058 isl_die(ctx, isl_error_unknown,
2059 "incorrect subset result", return -1);
2060 }
2061
2062 return 0;
2063 }
2064
2065 struct {
2066 const char *minuend;
2067 const char *subtrahend;
2068 const char *difference;
2069 } subtract_domain_tests[] = {
2070 { "{ A[i] -> B[i] }", "{ A[i] }", "{ }" },
2071 { "{ A[i] -> B[i] }", "{ B[i] }", "{ A[i] -> B[i] }" },
2072 { "{ A[i] -> B[i] }", "{ A[i] : i > 0 }", "{ A[i] -> B[i] : i <= 0 }" },
2073 };
2074
2075 static int test_subtract(isl_ctx *ctx)
2076 {
2077 int i;
2078 isl_union_map *umap1, *umap2;
2079 isl_union_set *uset;
2080 int equal;
2081
2082 for (i = 0; i < ARRAY_SIZE(subtract_domain_tests); ++i) {
2083 umap1 = isl_union_map_read_from_str(ctx,
2084 subtract_domain_tests[i].minuend);
2085 uset = isl_union_set_read_from_str(ctx,
2086 subtract_domain_tests[i].subtrahend);
2087 umap2 = isl_union_map_read_from_str(ctx,
2088 subtract_domain_tests[i].difference);
2089 umap1 = isl_union_map_subtract_domain(umap1, uset);
2090 equal = isl_union_map_is_equal(umap1, umap2);
2091 isl_union_map_free(umap1);
2092 isl_union_map_free(umap2);
2093 if (equal < 0)
2094 return -1;
2095 if (!equal)
2096 isl_die(ctx, isl_error_unknown,
2097 "incorrect subtract domain result", return -1);
2098 }
2099
2100 return 0;
2101 }
2102
2103 int test_factorize(isl_ctx *ctx)
2104 {
2105 const char *str;
2106 isl_basic_set *bset;
2107 isl_factorizer *f;
2108
2109 str = "{ [i0, i1, i2, i3, i4, i5, i6, i7] : 3i5 <= 2 - 2i0 and "
2110 "i0 >= -2 and i6 >= 1 + i3 and i7 >= 0 and 3i5 >= -2i0 and "
2111 "2i4 <= i2 and i6 >= 1 + 2i0 + 3i1 and i4 <= -1 and "
2112 "i6 >= 1 + 2i0 + 3i5 and i6 <= 2 + 2i0 + 3i5 and "
2113 "3i5 <= 2 - 2i0 - i2 + 3i4 and i6 <= 2 + 2i0 + 3i1 and "
2114 "i0 <= -1 and i7 <= i2 + i3 - 3i4 - i6 and "
2115 "3i5 >= -2i0 - i2 + 3i4 }";
2116 bset = isl_basic_set_read_from_str(ctx, str);
2117 f = isl_basic_set_factorizer(bset);
2118 isl_basic_set_free(bset);
2119 isl_factorizer_free(f);
2120 if (!f)
2121 isl_die(ctx, isl_error_unknown,
2122 "failed to construct factorizer", return -1);
2123
2124 str = "{ [i0, i1, i2, i3, i4, i5, i6, i7, i8, i9, i10, i11, i12] : "
2125 "i12 <= 2 + i0 - i11 and 2i8 >= -i4 and i11 >= i1 and "
2126 "3i5 <= -i2 and 2i11 >= -i4 - 2i7 and i11 <= 3 + i0 + 3i9 and "
2127 "i11 <= -i4 - 2i7 and i12 >= -i10 and i2 >= -2 and "
2128 "i11 >= i1 + 3i10 and i11 >= 1 + i0 + 3i9 and "
2129 "i11 <= 1 - i4 - 2i8 and 6i6 <= 6 - i2 and 3i6 >= 1 - i2 and "
2130 "i11 <= 2 + i1 and i12 <= i4 + i11 and i12 >= i0 - i11 and "
2131 "3i5 >= -2 - i2 and i12 >= -1 + i4 + i11 and 3i3 <= 3 - i2 and "
2132 "9i6 <= 11 - i2 + 6i5 and 3i3 >= 1 - i2 and "
2133 "9i6 <= 5 - i2 + 6i3 and i12 <= -1 and i2 <= 0 }";
2134 bset = isl_basic_set_read_from_str(ctx, str);
2135 f = isl_basic_set_factorizer(bset);
2136 isl_basic_set_free(bset);
2137 isl_factorizer_free(f);
2138 if (!f)
2139 isl_die(ctx, isl_error_unknown,
2140 "failed to construct factorizer", return -1);
2141
2142 return 0;
2143 }
2144
2145 static int check_injective(__isl_take isl_map *map, void *user)
2146 {
2147 int *injective = user;
2148
2149 *injective = isl_map_is_injective(map);
2150 isl_map_free(map);
2151
2152 if (*injective < 0 || !*injective)
2153 return -1;
2154
2155 return 0;
2156 }
2157
2158 int test_one_schedule(isl_ctx *ctx, const char *d, const char *w,
2159 const char *r, const char *s, int tilable, int parallel)
2160 {
2161 int i;
2162 isl_union_set *D;
2163 isl_union_map *W, *R, *S;
2164 isl_union_map *empty;
2165 isl_union_map *dep_raw, *dep_war, *dep_waw, *dep;
2166 isl_union_map *validity, *proximity;
2167 isl_union_map *schedule;
2168 isl_union_map *test;
2169 isl_union_set *delta;
2170 isl_union_set *domain;
2171 isl_set *delta_set;
2172 isl_set *slice;
2173 isl_set *origin;
2174 isl_schedule *sched;
2175 int is_nonneg, is_parallel, is_tilable, is_injection, is_complete;
2176
2177 D = isl_union_set_read_from_str(ctx, d);
2178 W = isl_union_map_read_from_str(ctx, w);
2179 R = isl_union_map_read_from_str(ctx, r);
2180 S = isl_union_map_read_from_str(ctx, s);
2181
2182 W = isl_union_map_intersect_domain(W, isl_union_set_copy(D));
2183 R = isl_union_map_intersect_domain(R, isl_union_set_copy(D));
2184
2185 empty = isl_union_map_empty(isl_union_map_get_space(S));
2186 isl_union_map_compute_flow(isl_union_map_copy(R),
2187 isl_union_map_copy(W), empty,
2188 isl_union_map_copy(S),
2189 &dep_raw, NULL, NULL, NULL);
2190 isl_union_map_compute_flow(isl_union_map_copy(W),
2191 isl_union_map_copy(W),
2192 isl_union_map_copy(R),
2193 isl_union_map_copy(S),
2194 &dep_waw, &dep_war, NULL, NULL);
2195
2196 dep = isl_union_map_union(dep_waw, dep_war);
2197 dep = isl_union_map_union(dep, dep_raw);
2198 validity = isl_union_map_copy(dep);
2199 proximity = isl_union_map_copy(dep);
2200
2201 sched = isl_union_set_compute_schedule(isl_union_set_copy(D),
2202 validity, proximity);
2203 schedule = isl_schedule_get_map(sched);
2204 isl_schedule_free(sched);
2205 isl_union_map_free(W);
2206 isl_union_map_free(R);
2207 isl_union_map_free(S);
2208
2209 is_injection = 1;
2210 isl_union_map_foreach_map(schedule, &check_injective, &is_injection);
2211
2212 domain = isl_union_map_domain(isl_union_map_copy(schedule));
2213 is_complete = isl_union_set_is_subset(D, domain);
2214 isl_union_set_free(D);
2215 isl_union_set_free(domain);
2216
2217 test = isl_union_map_reverse(isl_union_map_copy(schedule));
2218 test = isl_union_map_apply_range(test, dep);
2219 test = isl_union_map_apply_range(test, schedule);
2220
2221 delta = isl_union_map_deltas(test);
2222 if (isl_union_set_n_set(delta) == 0) {
2223 is_tilable = 1;
2224 is_parallel = 1;
2225 is_nonneg = 1;
2226 isl_union_set_free(delta);
2227 } else {
2228 delta_set = isl_set_from_union_set(delta);
2229
2230 slice = isl_set_universe(isl_set_get_space(delta_set));
2231 for (i = 0; i < tilable; ++i)
2232 slice = isl_set_lower_bound_si(slice, isl_dim_set, i, 0);
2233 is_tilable = isl_set_is_subset(delta_set, slice);
2234 isl_set_free(slice);
2235
2236 slice = isl_set_universe(isl_set_get_space(delta_set));
2237 for (i = 0; i < parallel; ++i)
2238 slice = isl_set_fix_si(slice, isl_dim_set, i, 0);
2239 is_parallel = isl_set_is_subset(delta_set, slice);
2240 isl_set_free(slice);
2241
2242 origin = isl_set_universe(isl_set_get_space(delta_set));
2243 for (i = 0; i < isl_set_dim(origin, isl_dim_set); ++i)
2244 origin = isl_set_fix_si(origin, isl_dim_set, i, 0);
2245
2246 delta_set = isl_set_union(delta_set, isl_set_copy(origin));
2247 delta_set = isl_set_lexmin(delta_set);
2248
2249 is_nonneg = isl_set_is_equal(delta_set, origin);
2250
2251 isl_set_free(origin);
2252 isl_set_free(delta_set);
2253 }
2254
2255 if (is_nonneg < 0 || is_parallel < 0 || is_tilable < 0 ||
2256 is_injection < 0 || is_complete < 0)
2257 return -1;
2258 if (!is_complete)
2259 isl_die(ctx, isl_error_unknown,
2260 "generated schedule incomplete", return -1);
2261 if (!is_injection)
2262 isl_die(ctx, isl_error_unknown,
2263 "generated schedule not injective on each statement",
2264 return -1);
2265 if (!is_nonneg)
2266 isl_die(ctx, isl_error_unknown,
2267 "negative dependences in generated schedule",
2268 return -1);
2269 if (!is_tilable)
2270 isl_die(ctx, isl_error_unknown,
2271 "generated schedule not as tilable as expected",
2272 return -1);
2273 if (!is_parallel)
2274 isl_die(ctx, isl_error_unknown,
2275 "generated schedule not as parallel as expected",
2276 return -1);
2277
2278 return 0;
2279 }
2280
2281 int test_special_schedule(isl_ctx *ctx, const char *domain,
2282 const char *validity, const char *proximity, const char *expected_sched)
2283 {
2284 isl_union_set *dom;
2285 isl_union_map *dep;
2286 isl_union_map *prox;
2287 isl_union_map *sched1, *sched2;
2288 isl_schedule *schedule;
2289 int equal;
2290
2291 dom = isl_union_set_read_from_str(ctx, domain);
2292 dep = isl_union_map_read_from_str(ctx, validity);
2293 prox = isl_union_map_read_from_str(ctx, proximity);
2294 schedule = isl_union_set_compute_schedule(dom, dep, prox);
2295 sched1 = isl_schedule_get_map(schedule);
2296 isl_schedule_free(schedule);
2297
2298 sched2 = isl_union_map_read_from_str(ctx, expected_sched);
2299
2300 equal = isl_union_map_is_equal(sched1, sched2);
2301 isl_union_map_free(sched1);
2302 isl_union_map_free(sched2);
2303
2304 if (equal < 0)
2305 return -1;
2306 if (!equal)
2307 isl_die(ctx, isl_error_unknown, "unexpected schedule",
2308 return -1);
2309
2310 return 0;
2311 }
2312
2313 int test_schedule(isl_ctx *ctx)
2314 {
2315 const char *D, *W, *R, *V, *P, *S;
2316
2317 /* Jacobi */
2318 D = "[T,N] -> { S1[t,i] : 1 <= t <= T and 2 <= i <= N - 1 }";
2319 W = "{ S1[t,i] -> a[t,i] }";
2320 R = "{ S1[t,i] -> a[t-1,i]; S1[t,i] -> a[t-1,i-1]; "
2321 "S1[t,i] -> a[t-1,i+1] }";
2322 S = "{ S1[t,i] -> [t,i] }";
2323 if (test_one_schedule(ctx, D, W, R, S, 2, 0) < 0)
2324 return -1;
2325
2326 /* Fig. 5 of CC2008 */
2327 D = "[N] -> { S_0[i, j] : i >= 0 and i <= -1 + N and j >= 2 and "
2328 "j <= -1 + N }";
2329 W = "[N] -> { S_0[i, j] -> a[i, j] : i >= 0 and i <= -1 + N and "
2330 "j >= 2 and j <= -1 + N }";
2331 R = "[N] -> { S_0[i, j] -> a[j, i] : i >= 0 and i <= -1 + N and "
2332 "j >= 2 and j <= -1 + N; "
2333 "S_0[i, j] -> a[i, -1 + j] : i >= 0 and i <= -1 + N and "
2334 "j >= 2 and j <= -1 + N }";
2335 S = "[N] -> { S_0[i, j] -> [0, i, 0, j, 0] }";
2336 if (test_one_schedule(ctx, D, W, R, S, 2, 0) < 0)
2337 return -1;
2338
2339 D = "{ S1[i] : 0 <= i <= 10; S2[i] : 0 <= i <= 9 }";
2340 W = "{ S1[i] -> a[i] }";
2341 R = "{ S2[i] -> a[i+1] }";
2342 S = "{ S1[i] -> [0,i]; S2[i] -> [1,i] }";
2343 if (test_one_schedule(ctx, D, W, R, S, 1, 1) < 0)
2344 return -1;
2345
2346 D = "{ S1[i] : 0 <= i < 10; S2[i] : 0 <= i < 10 }";
2347 W = "{ S1[i] -> a[i] }";
2348 R = "{ S2[i] -> a[9-i] }";
2349 S = "{ S1[i] -> [0,i]; S2[i] -> [1,i] }";
2350 if (test_one_schedule(ctx, D, W, R, S, 1, 1) < 0)
2351 return -1;
2352
2353 D = "[N] -> { S1[i] : 0 <= i < N; S2[i] : 0 <= i < N }";
2354 W = "{ S1[i] -> a[i] }";
2355 R = "[N] -> { S2[i] -> a[N-1-i] }";
2356 S = "{ S1[i] -> [0,i]; S2[i] -> [1,i] }";
2357 if (test_one_schedule(ctx, D, W, R, S, 1, 1) < 0)
2358 return -1;
2359
2360 D = "{ S1[i] : 0 < i < 10; S2[i] : 0 <= i < 10 }";
2361 W = "{ S1[i] -> a[i]; S2[i] -> b[i] }";
2362 R = "{ S2[i] -> a[i]; S1[i] -> b[i-1] }";
2363 S = "{ S1[i] -> [i,0]; S2[i] -> [i,1] }";
2364 if (test_one_schedule(ctx, D, W, R, S, 0, 0) < 0)
2365 return -1;
2366
2367 D = "[N] -> { S1[i] : 1 <= i <= N; S2[i,j] : 1 <= i,j <= N }";
2368 W = "{ S1[i] -> a[0,i]; S2[i,j] -> a[i,j] }";
2369 R = "{ S2[i,j] -> a[i-1,j] }";
2370 S = "{ S1[i] -> [0,i,0]; S2[i,j] -> [1,i,j] }";
2371 if (test_one_schedule(ctx, D, W, R, S, 2, 1) < 0)
2372 return -1;
2373
2374 D = "[N] -> { S1[i] : 1 <= i <= N; S2[i,j] : 1 <= i,j <= N }";
2375 W = "{ S1[i] -> a[i,0]; S2[i,j] -> a[i,j] }";
2376 R = "{ S2[i,j] -> a[i,j-1] }";
2377 S = "{ S1[i] -> [0,i,0]; S2[i,j] -> [1,i,j] }";
2378 if (test_one_schedule(ctx, D, W, R, S, 2, 1) < 0)
2379 return -1;
2380
2381 D = "[N] -> { S_0[]; S_1[i] : i >= 0 and i <= -1 + N; S_2[] }";
2382 W = "[N] -> { S_0[] -> a[0]; S_2[] -> b[0]; "
2383 "S_1[i] -> a[1 + i] : i >= 0 and i <= -1 + N }";
2384 R = "[N] -> { S_2[] -> a[N]; S_1[i] -> a[i] : i >= 0 and i <= -1 + N }";
2385 S = "[N] -> { S_1[i] -> [1, i, 0]; S_2[] -> [2, 0, 1]; "
2386 "S_0[] -> [0, 0, 0] }";
2387 if (test_one_schedule(ctx, D, W, R, S, 1, 0) < 0)
2388 return -1;
2389 ctx->opt->schedule_parametric = 0;
2390 if (test_one_schedule(ctx, D, W, R, S, 0, 0) < 0)
2391 return -1;
2392 ctx->opt->schedule_parametric = 1;
2393
2394 D = "[N] -> { S1[i] : 1 <= i <= N; S2[i] : 1 <= i <= N; "
2395 "S3[i,j] : 1 <= i,j <= N; S4[i] : 1 <= i <= N }";
2396 W = "{ S1[i] -> a[i,0]; S2[i] -> a[0,i]; S3[i,j] -> a[i,j] }";
2397 R = "[N] -> { S3[i,j] -> a[i-1,j]; S3[i,j] -> a[i,j-1]; "
2398 "S4[i] -> a[i,N] }";
2399 S = "{ S1[i] -> [0,i,0]; S2[i] -> [1,i,0]; S3[i,j] -> [2,i,j]; "
2400 "S4[i] -> [4,i,0] }";
2401 if (test_one_schedule(ctx, D, W, R, S, 2, 0) < 0)
2402 return -1;
2403
2404 D = "[N] -> { S_0[i, j] : i >= 1 and i <= N and j >= 1 and j <= N }";
2405 W = "[N] -> { S_0[i, j] -> s[0] : i >= 1 and i <= N and j >= 1 and "
2406 "j <= N }";
2407 R = "[N] -> { S_0[i, j] -> s[0] : i >= 1 and i <= N and j >= 1 and "
2408 "j <= N; "
2409 "S_0[i, j] -> a[i, j] : i >= 1 and i <= N and j >= 1 and "
2410 "j <= N }";
2411 S = "[N] -> { S_0[i, j] -> [0, i, 0, j, 0] }";
2412 if (test_one_schedule(ctx, D, W, R, S, 0, 0) < 0)
2413 return -1;
2414
2415 D = "[N] -> { S_0[t] : t >= 0 and t <= -1 + N; "
2416 " S_2[t] : t >= 0 and t <= -1 + N; "
2417 " S_1[t, i] : t >= 0 and t <= -1 + N and i >= 0 and "
2418 "i <= -1 + N }";
2419 W = "[N] -> { S_0[t] -> a[t, 0] : t >= 0 and t <= -1 + N; "
2420 " S_2[t] -> b[t] : t >= 0 and t <= -1 + N; "
2421 " S_1[t, i] -> a[t, 1 + i] : t >= 0 and t <= -1 + N and "
2422 "i >= 0 and i <= -1 + N }";
2423 R = "[N] -> { S_1[t, i] -> a[t, i] : t >= 0 and t <= -1 + N and "
2424 "i >= 0 and i <= -1 + N; "
2425 " S_2[t] -> a[t, N] : t >= 0 and t <= -1 + N }";
2426 S = "[N] -> { S_2[t] -> [0, t, 2]; S_1[t, i] -> [0, t, 1, i, 0]; "
2427 " S_0[t] -> [0, t, 0] }";
2428
2429 if (test_one_schedule(ctx, D, W, R, S, 2, 1) < 0)
2430 return -1;
2431 ctx->opt->schedule_parametric = 0;
2432 if (test_one_schedule(ctx, D, W, R, S, 0, 0) < 0)
2433 return -1;
2434 ctx->opt->schedule_parametric = 1;
2435
2436 D = "[N] -> { S1[i,j] : 0 <= i,j < N; S2[i,j] : 0 <= i,j < N }";
2437 S = "{ S1[i,j] -> [0,i,j]; S2[i,j] -> [1,i,j] }";
2438 if (test_one_schedule(ctx, D, "{}", "{}", S, 2, 2) < 0)
2439 return -1;
2440
2441 D = "[M, N] -> { S_1[i] : i >= 0 and i <= -1 + M; "
2442 "S_0[i, j] : i >= 0 and i <= -1 + M and j >= 0 and j <= -1 + N }";
2443 W = "[M, N] -> { S_0[i, j] -> a[j] : i >= 0 and i <= -1 + M and "
2444 "j >= 0 and j <= -1 + N; "
2445 "S_1[i] -> b[0] : i >= 0 and i <= -1 + M }";
2446 R = "[M, N] -> { S_0[i, j] -> a[0] : i >= 0 and i <= -1 + M and "
2447 "j >= 0 and j <= -1 + N; "
2448 "S_1[i] -> b[0] : i >= 0 and i <= -1 + M }";
2449 S = "[M, N] -> { S_1[i] -> [1, i, 0]; S_0[i, j] -> [0, i, 0, j, 0] }";
2450 if (test_one_schedule(ctx, D, W, R, S, 0, 0) < 0)
2451 return -1;
2452
2453 D = "{ S_0[i] : i >= 0 }";
2454 W = "{ S_0[i] -> a[i] : i >= 0 }";
2455 R = "{ S_0[i] -> a[0] : i >= 0 }";
2456 S = "{ S_0[i] -> [0, i, 0] }";
2457 if (test_one_schedule(ctx, D, W, R, S, 0, 0) < 0)
2458 return -1;
2459
2460 D = "{ S_0[i] : i >= 0; S_1[i] : i >= 0 }";
2461 W = "{ S_0[i] -> a[i] : i >= 0; S_1[i] -> b[i] : i >= 0 }";
2462 R = "{ S_0[i] -> b[0] : i >= 0; S_1[i] -> a[i] : i >= 0 }";
2463 S = "{ S_1[i] -> [0, i, 1]; S_0[i] -> [0, i, 0] }";
2464 if (test_one_schedule(ctx, D, W, R, S, 0, 0) < 0)
2465 return -1;
2466
2467 D = "[n] -> { S_0[j, k] : j <= -1 + n and j >= 0 and "
2468 "k <= -1 + n and k >= 0 }";
2469 W = "[n] -> { S_0[j, k] -> B[j] : j <= -1 + n and j >= 0 and " "k <= -1 + n and k >= 0 }";
2470 R = "[n] -> { S_0[j, k] -> B[j] : j <= -1 + n and j >= 0 and "
2471 "k <= -1 + n and k >= 0; "
2472 "S_0[j, k] -> B[k] : j <= -1 + n and j >= 0 and "
2473 "k <= -1 + n and k >= 0; "
2474 "S_0[j, k] -> A[k] : j <= -1 + n and j >= 0 and "
2475 "k <= -1 + n and k >= 0 }";
2476 S = "[n] -> { S_0[j, k] -> [2, j, k] }";
2477 ctx->opt->schedule_outer_zero_distance = 1;
2478 if (test_one_schedule(ctx, D, W, R, S, 0, 0) < 0)
2479 return -1;
2480 ctx->opt->schedule_outer_zero_distance = 0;
2481
2482 D = "{Stmt_for_body24[i0, i1, i2, i3]:"
2483 "i0 >= 0 and i0 <= 1 and i1 >= 0 and i1 <= 6 and i2 >= 2 and "
2484 "i2 <= 6 - i1 and i3 >= 0 and i3 <= -1 + i2;"
2485 "Stmt_for_body24[i0, i1, 1, 0]:"
2486 "i0 >= 0 and i0 <= 1 and i1 >= 0 and i1 <= 5;"
2487 "Stmt_for_body7[i0, i1, i2]:"
2488 "i0 >= 0 and i0 <= 1 and i1 >= 0 and i1 <= 7 and i2 >= 0 and "
2489 "i2 <= 7 }";
2490
2491 V = "{Stmt_for_body24[0, i1, i2, i3] -> "
2492 "Stmt_for_body24[1, i1, i2, i3]:"
2493 "i3 >= 0 and i3 <= -1 + i2 and i1 >= 0 and i2 <= 6 - i1 and "
2494 "i2 >= 1;"
2495 "Stmt_for_body24[0, i1, i2, i3] -> "
2496 "Stmt_for_body7[1, 1 + i1 + i3, 1 + i1 + i2]:"
2497 "i3 <= -1 + i2 and i2 <= 6 - i1 and i2 >= 1 and i1 >= 0 and "
2498 "i3 >= 0;"
2499 "Stmt_for_body24[0, i1, i2, i3] ->"
2500 "Stmt_for_body7[1, i1, 1 + i1 + i3]:"
2501 "i3 >= 0 and i2 <= 6 - i1 and i1 >= 0 and i3 <= -1 + i2;"
2502 "Stmt_for_body7[0, i1, i2] -> Stmt_for_body7[1, i1, i2]:"
2503 "(i2 >= 1 + i1 and i2 <= 6 and i1 >= 0 and i1 <= 4) or "
2504 "(i2 >= 3 and i2 <= 7 and i1 >= 1 and i2 >= 1 + i1) or "
2505 "(i2 >= 0 and i2 <= i1 and i2 >= -7 + i1 and i1 <= 7);"
2506 "Stmt_for_body7[0, i1, 1 + i1] -> Stmt_for_body7[1, i1, 1 + i1]:"
2507 "i1 <= 6 and i1 >= 0;"
2508 "Stmt_for_body7[0, 0, 7] -> Stmt_for_body7[1, 0, 7];"
2509 "Stmt_for_body7[i0, i1, i2] -> "
2510 "Stmt_for_body24[i0, o1, -1 + i2 - o1, -1 + i1 - o1]:"
2511 "i0 >= 0 and i0 <= 1 and o1 >= 0 and i2 >= 1 + i1 and "
2512 "o1 <= -2 + i2 and i2 <= 7 and o1 <= -1 + i1;"
2513 "Stmt_for_body7[i0, i1, i2] -> "
2514 "Stmt_for_body24[i0, i1, o2, -1 - i1 + i2]:"
2515 "i0 >= 0 and i0 <= 1 and i1 >= 0 and o2 >= -i1 + i2 and "
2516 "o2 >= 1 and o2 <= 6 - i1 and i2 >= 1 + i1 }";
2517 P = V;
2518 S = "{ Stmt_for_body24[i0, i1, i2, i3] -> "
2519 "[i0, 5i0 + i1, 6i0 + i1 + i2, 1 + 6i0 + i1 + i2 + i3, 1];"
2520 "Stmt_for_body7[i0, i1, i2] -> [0, 5i0, 6i0 + i1, 6i0 + i2, 0] }";
2521
2522 if (test_special_schedule(ctx, D, V, P, S) < 0)
2523 return -1;
2524
2525 D = "{ S_0[i, j] : i >= 1 and i <= 10 and j >= 1 and j <= 8 }";
2526 V = "{ S_0[i, j] -> S_0[i, 1 + j] : i >= 1 and i <= 10 and "
2527 "j >= 1 and j <= 7;"
2528 "S_0[i, j] -> S_0[1 + i, j] : i >= 1 and i <= 9 and "
2529 "j >= 1 and j <= 8 }";
2530 P = "{ }";
2531 S = "{ S_0[i, j] -> [i + j, j] }";
2532 ctx->opt->schedule_algorithm = ISL_SCHEDULE_ALGORITHM_FEAUTRIER;
2533 if (test_special_schedule(ctx, D, V, P, S) < 0)
2534 return -1;
2535 ctx->opt->schedule_algorithm = ISL_SCHEDULE_ALGORITHM_ISL;
2536
2537 /* Fig. 1 from Feautrier's "Some Efficient Solutions..." pt. 2, 1992 */
2538 D = "[N] -> { S_0[i, j] : i >= 0 and i <= -1 + N and "
2539 "j >= 0 and j <= -1 + i }";
2540 V = "[N] -> { S_0[i, j] -> S_0[i, 1 + j] : j <= -2 + i and "
2541 "i <= -1 + N and j >= 0;"
2542 "S_0[i, -1 + i] -> S_0[1 + i, 0] : i >= 1 and "
2543 "i <= -2 + N }";
2544 P = "{ }";
2545 S = "{ S_0[i, j] -> [i, j] }";
2546 ctx->opt->schedule_algorithm = ISL_SCHEDULE_ALGORITHM_FEAUTRIER;
2547 if (test_special_schedule(ctx, D, V, P, S) < 0)
2548 return -1;
2549 ctx->opt->schedule_algorithm = ISL_SCHEDULE_ALGORITHM_ISL;
2550
2551 /* Test both algorithms on a case with only proximity dependences. */
2552 D = "{ S[i,j] : 0 <= i <= 10 }";
2553 V = "{ }";
2554 P = "{ S[i,j] -> S[i+1,j] : 0 <= i,j <= 10 }";
2555 S = "{ S[i, j] -> [j, i] }";
2556 ctx->opt->schedule_algorithm = ISL_SCHEDULE_ALGORITHM_FEAUTRIER;
2557 if (test_special_schedule(ctx, D, V, P, S) < 0)
2558 return -1;
2559 ctx->opt->schedule_algorithm = ISL_SCHEDULE_ALGORITHM_ISL;
2560 return test_special_schedule(ctx, D, V, P, S);
2561 }
2562
2563 int test_plain_injective(isl_ctx *ctx, const char *str, int injective)
2564 {
2565 isl_union_map *umap;
2566 int test;
2567
2568 umap = isl_union_map_read_from_str(ctx, str);
2569 test = isl_union_map_plain_is_injective(umap);
2570 isl_union_map_free(umap);
2571 if (test < 0)
2572 return -1;
2573 if (test == injective)
2574 return 0;
2575 if (injective)
2576 isl_die(ctx, isl_error_unknown,
2577 "map not detected as injective", return -1);
2578 else
2579 isl_die(ctx, isl_error_unknown,
2580 "map detected as injective", return -1);
2581 }
2582
2583 int test_injective(isl_ctx *ctx)
2584 {
2585 const char *str;
2586
2587 if (test_plain_injective(ctx, "{S[i,j] -> A[0]; T[i,j] -> B[1]}", 0))
2588 return -1;
2589 if (test_plain_injective(ctx, "{S[] -> A[0]; T[] -> B[0]}", 1))
2590 return -1;
2591 if (test_plain_injective(ctx, "{S[] -> A[0]; T[] -> A[1]}", 1))
2592 return -1;
2593 if (test_plain_injective(ctx, "{S[] -> A[0]; T[] -> A[0]}", 0))
2594 return -1;
2595 if (test_plain_injective(ctx, "{S[i] -> A[i,0]; T[i] -> A[i,1]}", 1))
2596 return -1;
2597 if (test_plain_injective(ctx, "{S[i] -> A[i]; T[i] -> A[i]}", 0))
2598 return -1;
2599 if (test_plain_injective(ctx, "{S[] -> A[0,0]; T[] -> A[0,1]}", 1))
2600 return -1;
2601 if (test_plain_injective(ctx, "{S[] -> A[0,0]; T[] -> A[1,0]}", 1))
2602 return -1;
2603
2604 str = "{S[] -> A[0,0]; T[] -> A[0,1]; U[] -> A[1,0]}";
2605 if (test_plain_injective(ctx, str, 1))
2606 return -1;
2607 str = "{S[] -> A[0,0]; T[] -> A[0,1]; U[] -> A[0,0]}";
2608 if (test_plain_injective(ctx, str, 0))
2609 return -1;
2610
2611 return 0;
2612 }
2613
2614 static int aff_plain_is_equal(__isl_keep isl_aff *aff, const char *str)
2615 {
2616 isl_aff *aff2;
2617 int equal;
2618
2619 if (!aff)
2620 return -1;
2621
2622 aff2 = isl_aff_read_from_str(isl_aff_get_ctx(aff), str);
2623 equal = isl_aff_plain_is_equal(aff, aff2);
2624 isl_aff_free(aff2);
2625
2626 return equal;
2627 }
2628
2629 static int aff_check_plain_equal(__isl_keep isl_aff *aff, const char *str)
2630 {
2631 int equal;
2632
2633 equal = aff_plain_is_equal(aff, str);
2634 if (equal < 0)
2635 return -1;
2636 if (!equal)
2637 isl_die(isl_aff_get_ctx(aff), isl_error_unknown,
2638 "result not as expected", return -1);
2639 return 0;
2640 }
2641
2642 int test_aff(isl_ctx *ctx)
2643 {
2644 const char *str;
2645 isl_set *set;
2646 isl_space *space;
2647 isl_local_space *ls;
2648 isl_aff *aff;
2649 int zero, equal;
2650
2651 space = isl_space_set_alloc(ctx, 0, 1);
2652 ls = isl_local_space_from_space(space);
2653 aff = isl_aff_zero_on_domain(ls);
2654
2655 aff = isl_aff_add_coefficient_si(aff, isl_dim_in, 0, 1);
2656 aff = isl_aff_scale_down_ui(aff, 3);
2657 aff = isl_aff_floor(aff);
2658 aff = isl_aff_add_coefficient_si(aff, isl_dim_in, 0, 1);
2659 aff = isl_aff_scale_down_ui(aff, 2);
2660 aff = isl_aff_floor(aff);
2661 aff = isl_aff_add_coefficient_si(aff, isl_dim_in, 0, 1);
2662
2663 str = "{ [10] }";
2664 set = isl_set_read_from_str(ctx, str);
2665 aff = isl_aff_gist(aff, set);
2666
2667 aff = isl_aff_add_constant_si(aff, -16);
2668 zero = isl_aff_plain_is_zero(aff);
2669 isl_aff_free(aff);
2670
2671 if (zero < 0)
2672 return -1;
2673 if (!zero)
2674 isl_die(ctx, isl_error_unknown, "unexpected result", return -1);
2675
2676 aff = isl_aff_read_from_str(ctx, "{ [-1] }");
2677 aff = isl_aff_scale_down_ui(aff, 64);
2678 aff = isl_aff_floor(aff);
2679 equal = aff_check_plain_equal(aff, "{ [-1] }");
2680 isl_aff_free(aff);
2681 if (equal < 0)
2682 return -1;
2683
2684 return 0;
2685 }
2686
2687 int test_dim_max(isl_ctx *ctx)
2688 {
2689 int equal;
2690 const char *str;
2691 isl_set *set1, *set2;
2692 isl_set *set;
2693 isl_map *map;
2694 isl_pw_aff *pwaff;
2695
2696 str = "[N] -> { [i] : 0 <= i <= min(N,10) }";
2697 set = isl_set_read_from_str(ctx, str);
2698 pwaff = isl_set_dim_max(set, 0);
2699 set1 = isl_set_from_pw_aff(pwaff);
2700 str = "[N] -> { [10] : N >= 10; [N] : N <= 9 and N >= 0 }";
2701 set2 = isl_set_read_from_str(ctx, str);
2702 equal = isl_set_is_equal(set1, set2);
2703 isl_set_free(set1);
2704 isl_set_free(set2);
2705 if (equal < 0)
2706 return -1;
2707 if (!equal)
2708 isl_die(ctx, isl_error_unknown, "unexpected result", return -1);
2709
2710 str = "[N] -> { [i] : 0 <= i <= max(2N,N+6) }";
2711 set = isl_set_read_from_str(ctx, str);
2712 pwaff = isl_set_dim_max(set, 0);
2713 set1 = isl_set_from_pw_aff(pwaff);
2714 str = "[N] -> { [6 + N] : -6 <= N <= 5; [2N] : N >= 6 }";
2715 set2 = isl_set_read_from_str(ctx, str);
2716 equal = isl_set_is_equal(set1, set2);
2717 isl_set_free(set1);
2718 isl_set_free(set2);
2719 if (equal < 0)
2720 return -1;
2721 if (!equal)
2722 isl_die(ctx, isl_error_unknown, "unexpected result", return -1);
2723
2724 str = "[N] -> { [i] : 0 <= i <= 2N or 0 <= i <= N+6 }";
2725 set = isl_set_read_from_str(ctx, str);
2726 pwaff = isl_set_dim_max(set, 0);
2727 set1 = isl_set_from_pw_aff(pwaff);
2728 str = "[N] -> { [6 + N] : -6 <= N <= 5; [2N] : N >= 6 }";
2729 set2 = isl_set_read_from_str(ctx, str);
2730 equal = isl_set_is_equal(set1, set2);
2731 isl_set_free(set1);
2732 isl_set_free(set2);
2733 if (equal < 0)
2734 return -1;
2735 if (!equal)
2736 isl_die(ctx, isl_error_unknown, "unexpected result", return -1);
2737
2738 str = "[N,M] -> { [i,j] -> [([i/16]), i%16, ([j/16]), j%16] : "
2739 "0 <= i < N and 0 <= j < M }";
2740 map = isl_map_read_from_str(ctx, str);
2741 set = isl_map_range(map);
2742
2743 pwaff = isl_set_dim_max(isl_set_copy(set), 0);
2744 set1 = isl_set_from_pw_aff(pwaff);
2745 str = "[N,M] -> { [([(N-1)/16])] : M,N > 0 }";
2746 set2 = isl_set_read_from_str(ctx, str);
2747 equal = isl_set_is_equal(set1, set2);
2748 isl_set_free(set1);
2749 isl_set_free(set2);
2750
2751 pwaff = isl_set_dim_max(isl_set_copy(set), 3);
2752 set1 = isl_set_from_pw_aff(pwaff);
2753 str = "[N,M] -> { [t] : t = min(M-1,15) and M,N > 0 }";
2754 set2 = isl_set_read_from_str(ctx, str);
2755 if (equal >= 0 && equal)
2756 equal = isl_set_is_equal(set1, set2);
2757 isl_set_free(set1);
2758 isl_set_free(set2);
2759
2760 isl_set_free(set);
2761
2762 if (equal < 0)
2763 return -1;
2764 if (!equal)
2765 isl_die(ctx, isl_error_unknown, "unexpected result", return -1);
2766
2767 return 0;
2768 }
2769
2770 int test_product(isl_ctx *ctx)
2771 {
2772 const char *str;
2773 isl_set *set;
2774 isl_union_set *uset1, *uset2;
2775 int ok;
2776
2777 str = "{ A[i] }";
2778 set = isl_set_read_from_str(ctx, str);
2779 set = isl_set_product(set, isl_set_copy(set));
2780 ok = isl_set_is_wrapping(set);
2781 isl_set_free(set);
2782 if (ok < 0)
2783 return -1;
2784 if (!ok)
2785 isl_die(ctx, isl_error_unknown, "unexpected result", return -1);
2786
2787 str = "{ [] }";
2788 uset1 = isl_union_set_read_from_str(ctx, str);
2789 uset1 = isl_union_set_product(uset1, isl_union_set_copy(uset1));
2790 str = "{ [[] -> []] }";
2791 uset2 = isl_union_set_read_from_str(ctx, str);
2792 ok = isl_union_set_is_equal(uset1, uset2);
2793 isl_union_set_free(uset1);
2794 isl_union_set_free(uset2);
2795 if (ok < 0)
2796 return -1;
2797 if (!ok)
2798 isl_die(ctx, isl_error_unknown, "unexpected result", return -1);
2799
2800 return 0;
2801 }
2802
2803 int test_equal(isl_ctx *ctx)
2804 {
2805 const char *str;
2806 isl_set *set, *set2;
2807 int equal;
2808
2809 str = "{ S_6[i] }";
2810 set = isl_set_read_from_str(ctx, str);
2811 str = "{ S_7[i] }";
2812 set2 = isl_set_read_from_str(ctx, str);
2813 equal = isl_set_is_equal(set, set2);
2814 isl_set_free(set);
2815 isl_set_free(set2);
2816 if (equal < 0)
2817 return -1;
2818 if (equal)
2819 isl_die(ctx, isl_error_unknown, "unexpected result", return -1);
2820
2821 return 0;
2822 }
2823
2824 static int test_plain_fixed(isl_ctx *ctx, __isl_take isl_map *map,
2825 enum isl_dim_type type, unsigned pos, int fixed)
2826 {
2827 int test;
2828
2829 test = isl_map_plain_is_fixed(map, type, pos, NULL);
2830 isl_map_free(map);
2831 if (test < 0)
2832 return -1;
2833 if (test == fixed)
2834 return 0;
2835 if (fixed)
2836 isl_die(ctx, isl_error_unknown,
2837 "map not detected as fixed", return -1);
2838 else
2839 isl_die(ctx, isl_error_unknown,
2840 "map detected as fixed", return -1);
2841 }
2842
2843 int test_fixed(isl_ctx *ctx)
2844 {
2845 const char *str;
2846 isl_map *map;
2847
2848 str = "{ [i] -> [i] }";
2849 map = isl_map_read_from_str(ctx, str);
2850 if (test_plain_fixed(ctx, map, isl_dim_out, 0, 0))
2851 return -1;
2852 str = "{ [i] -> [1] }";
2853 map = isl_map_read_from_str(ctx, str);
2854 if (test_plain_fixed(ctx, map, isl_dim_out, 0, 1))
2855 return -1;
2856 str = "{ S_1[p1] -> [o0] : o0 = -2 and p1 >= 1 and p1 <= 7 }";
2857 map = isl_map_read_from_str(ctx, str);
2858 if (test_plain_fixed(ctx, map, isl_dim_out, 0, 1))
2859 return -1;
2860 map = isl_map_read_from_str(ctx, str);
2861 map = isl_map_neg(map);
2862 if (test_plain_fixed(ctx, map, isl_dim_out, 0, 1))
2863 return -1;
2864
2865 return 0;
2866 }
2867
2868 int test_vertices(isl_ctx *ctx)
2869 {
2870 const char *str;
2871 isl_basic_set *bset;
2872 isl_vertices *vertices;
2873
2874 str = "{ A[t, i] : t = 12 and i >= 4 and i <= 12 }";
2875 bset = isl_basic_set_read_from_str(ctx, str);
2876 vertices = isl_basic_set_compute_vertices(bset);
2877 isl_basic_set_free(bset);
2878 isl_vertices_free(vertices);
2879 if (!vertices)
2880 return -1;
2881
2882 str = "{ A[t, i] : t = 14 and i = 1 }";
2883 bset = isl_basic_set_read_from_str(ctx, str);
2884 vertices = isl_basic_set_compute_vertices(bset);
2885 isl_basic_set_free(bset);
2886 isl_vertices_free(vertices);
2887 if (!vertices)
2888 return -1;
2889
2890 return 0;
2891 }
2892
2893 int test_union_pw(isl_ctx *ctx)
2894 {
2895 int equal;
2896 const char *str;
2897 isl_union_set *uset;
2898 isl_union_pw_qpolynomial *upwqp1, *upwqp2;
2899
2900 str = "{ [x] -> x^2 }";
2901 upwqp1 = isl_union_pw_qpolynomial_read_from_str(ctx, str);
2902 upwqp2 = isl_union_pw_qpolynomial_copy(upwqp1);
2903 uset = isl_union_pw_qpolynomial_domain(upwqp1);
2904 upwqp1 = isl_union_pw_qpolynomial_copy(upwqp2);
2905 upwqp1 = isl_union_pw_qpolynomial_intersect_domain(upwqp1, uset);
2906 equal = isl_union_pw_qpolynomial_plain_is_equal(upwqp1, upwqp2);
2907 isl_union_pw_qpolynomial_free(upwqp1);
2908 isl_union_pw_qpolynomial_free(upwqp2);
2909 if (equal < 0)
2910 return -1;
2911 if (!equal)
2912 isl_die(ctx, isl_error_unknown, "unexpected result", return -1);
2913
2914 return 0;
2915 }
2916
2917 int test_output(isl_ctx *ctx)
2918 {
2919 char *s;
2920 const char *str;
2921 isl_pw_aff *pa;
2922 isl_printer *p;
2923 int equal;
2924
2925 str = "[x] -> { [1] : x % 4 <= 2; [2] : x = 3 }";
2926 pa = isl_pw_aff_read_from_str(ctx, str);
2927
2928 p = isl_printer_to_str(ctx);
2929 p = isl_printer_set_output_format(p, ISL_FORMAT_C);
2930 p = isl_printer_print_pw_aff(p, pa);
2931 s = isl_printer_get_str(p);
2932 isl_printer_free(p);
2933 isl_pw_aff_free(pa);
2934 equal = !strcmp(s, "(2 - x + 4*floord(x, 4) >= 0) ? (1) : 2");
2935 free(s);
2936 if (equal < 0)
2937 return -1;
2938 if (!equal)
2939 isl_die(ctx, isl_error_unknown, "unexpected result", return -1);
2940
2941 return 0;
2942 }
2943
2944 int test_sample(isl_ctx *ctx)
2945 {
2946 const char *str;
2947 isl_basic_set *bset1, *bset2;
2948 int empty, subset;
2949
2950 str = "{ [a, b, c, d, e, f, g, h, i, j, k] : "
2951 "3i >= 1073741823b - c - 1073741823e + f and c >= 0 and "
2952 "3i >= -1 + 3221225466b + c + d - 3221225466e - f and "
2953 "2e >= a - b and 3e <= 2a and 3k <= -a and f <= -1 + a and "
2954 "3i <= 4 - a + 4b + 2c - e - 2f and 3k <= -a + c - f and "
2955 "3h >= -2 + a and 3g >= -3 - a and 3k >= -2 - a and "
2956 "3i >= -2 - a - 2c + 3e + 2f and 3h <= a + c - f and "
2957 "3h >= a + 2147483646b + 2c - 2147483646e - 2f and "
2958 "3g <= -1 - a and 3i <= 1 + c + d - f and a <= 1073741823 and "
2959 "f >= 1 - a + 1073741822b + c + d - 1073741822e and "
2960 "3i >= 1 + 2b - 2c + e + 2f + 3g and "
2961 "1073741822f <= 1073741822 - a + 1073741821b + 1073741822c +"
2962 "d - 1073741821e and "
2963 "3j <= 3 - a + 3b and 3g <= -2 - 2b + c + d - e - f and "
2964 "3j >= 1 - a + b + 2e and "
2965 "3f >= -3 + a + 3221225462b + 3c + d - 3221225465e and "
2966 "3i <= 4 - a + 4b - e and "
2967 "f <= 1073741822 + 1073741822b - 1073741822e and 3h <= a and "
2968 "f >= 0 and 2e <= 4 - a + 5b - d and 2e <= a - b + d and "
2969 "c <= -1 + a and 3i >= -2 - a + 3e and "
2970 "1073741822e <= 1073741823 - a + 1073741822b + c and "
2971 "3g >= -4 + 3221225464b + 3c + d - 3221225467e - 3f and "
2972 "3i >= -1 + 3221225466b + 3c + d - 3221225466e - 3f and "
2973 "1073741823e >= 1 + 1073741823b - d and "
2974 "3i >= 1073741823b + c - 1073741823e - f and "
2975 "3i >= 1 + 2b + e + 3g }";
2976 bset1 = isl_basic_set_read_from_str(ctx, str);
2977 bset2 = isl_basic_set_sample(isl_basic_set_copy(bset1));
2978 empty = isl_basic_set_is_empty(bset2);
2979 subset = isl_basic_set_is_subset(bset2, bset1);
2980 isl_basic_set_free(bset1);
2981 isl_basic_set_free(bset2);
2982 if (empty)
2983 isl_die(ctx, isl_error_unknown, "point not found", return -1);
2984 if (!subset)
2985 isl_die(ctx, isl_error_unknown, "bad point found", return -1);
2986
2987 return 0;
2988 }
2989
2990 int test_fixed_power(isl_ctx *ctx)
2991 {
2992 const char *str;
2993 isl_map *map;
2994 isl_int exp;
2995 int equal;
2996
2997 isl_int_init(exp);
2998 str = "{ [i] -> [i + 1] }";
2999 map = isl_map_read_from_str(ctx, str);
3000 isl_int_set_si(exp, 23);
3001 map = isl_map_fixed_power(map, exp);
3002 equal = map_check_equal(map, "{ [i] -> [i + 23] }");
3003 isl_int_clear(exp);
3004 isl_map_free(map);
3005 if (equal < 0)
3006 return -1;
3007
3008 return 0;
3009 }
3010
3011 int test_slice(isl_ctx *ctx)
3012 {
3013 const char *str;
3014 isl_map *map;
3015 int equal;
3016
3017 str = "{ [i] -> [j] }";
3018 map = isl_map_read_from_str(ctx, str);
3019 map = isl_map_equate(map, isl_dim_in, 0, isl_dim_out, 0);
3020 equal = map_check_equal(map, "{ [i] -> [i] }");
3021 isl_map_free(map);
3022 if (equal < 0)
3023 return -1;
3024
3025 str = "{ [i] -> [j] }";
3026 map = isl_map_read_from_str(ctx, str);
3027 map = isl_map_equate(map, isl_dim_in, 0, isl_dim_in, 0);
3028 equal = map_check_equal(map, "{ [i] -> [j] }");
3029 isl_map_free(map);
3030 if (equal < 0)
3031 return -1;
3032
3033 str = "{ [i] -> [j] }";
3034 map = isl_map_read_from_str(ctx, str);
3035 map = isl_map_oppose(map, isl_dim_in, 0, isl_dim_out, 0);
3036 equal = map_check_equal(map, "{ [i] -> [-i] }");
3037 isl_map_free(map);
3038 if (equal < 0)
3039 return -1;
3040
3041 str = "{ [i] -> [j] }";
3042 map = isl_map_read_from_str(ctx, str);
3043 map = isl_map_oppose(map, isl_dim_in, 0, isl_dim_in, 0);
3044 equal = map_check_equal(map, "{ [0] -> [j] }");
3045 isl_map_free(map);
3046 if (equal < 0)
3047 return -1;
3048
3049 str = "{ [i] -> [j] }";
3050 map = isl_map_read_from_str(ctx, str);
3051 map = isl_map_order_gt(map, isl_dim_in, 0, isl_dim_out, 0);
3052 equal = map_check_equal(map, "{ [i] -> [j] : i > j }");
3053 isl_map_free(map);
3054 if (equal < 0)
3055 return -1;
3056
3057 str = "{ [i] -> [j] }";
3058 map = isl_map_read_from_str(ctx, str);
3059 map = isl_map_order_gt(map, isl_dim_in, 0, isl_dim_in, 0);
3060 equal = map_check_equal(map, "{ [i] -> [j] : false }");
3061 isl_map_free(map);
3062 if (equal < 0)
3063 return -1;
3064
3065 return 0;
3066 }
3067
3068 int test_eliminate(isl_ctx *ctx)
3069 {
3070 const char *str;
3071 isl_map *map;
3072 int equal;
3073
3074 str = "{ [i] -> [j] : i = 2j }";
3075 map = isl_map_read_from_str(ctx, str);
3076 map = isl_map_eliminate(map, isl_dim_out, 0, 1);
3077 equal = map_check_equal(map, "{ [i] -> [j] : exists a : i = 2a }");
3078 isl_map_free(map);
3079 if (equal < 0)
3080 return -1;
3081
3082 return 0;
3083 }
3084
3085 /* Check that isl_set_dim_residue_class detects that the values of j
3086 * in the set below are all odd and that it does not detect any spurious
3087 * strides.
3088 */
3089 static int test_residue_class(isl_ctx *ctx)
3090 {
3091 const char *str;
3092 isl_set *set;
3093 isl_int m, r;
3094 int res;
3095
3096 str = "{ [i,j] : j = 4 i + 1 and 0 <= i <= 100; "
3097 "[i,j] : j = 4 i + 3 and 500 <= i <= 600 }";
3098 set = isl_set_read_from_str(ctx, str);
3099 isl_int_init(m);
3100 isl_int_init(r);
3101 res = isl_set_dim_residue_class(set, 1, &m, &r);
3102 if (res >= 0 &&
3103 (isl_int_cmp_si(m, 2) != 0 || isl_int_cmp_si(r, 1) != 0))
3104 isl_die(ctx, isl_error_unknown, "incorrect residue class",
3105 res = -1);
3106 isl_int_clear(r);
3107 isl_int_clear(m);
3108 isl_set_free(set);
3109
3110 return res;
3111 }
3112
3113 int test_align_parameters(isl_ctx *ctx)
3114 {
3115 const char *str;
3116 isl_space *space;
3117 isl_multi_aff *ma1, *ma2;
3118 int equal;
3119
3120 str = "{ A[B[] -> C[]] -> D[E[] -> F[]] }";
3121 ma1 = isl_multi_aff_read_from_str(ctx, str);
3122
3123 space = isl_space_params_alloc(ctx, 1);
3124 space = isl_space_set_dim_name(space, isl_dim_param, 0, "N");
3125 ma1 = isl_multi_aff_align_params(ma1, space);
3126
3127 str = "[N] -> { A[B[] -> C[]] -> D[E[] -> F[]] }";
3128 ma2 = isl_multi_aff_read_from_str(ctx, str);
3129
3130 equal = isl_multi_aff_plain_is_equal(ma1, ma2);
3131
3132 isl_multi_aff_free(ma1);
3133 isl_multi_aff_free(ma2);
3134
3135 if (equal < 0)
3136 return -1;
3137 if (!equal)
3138 isl_die(ctx, isl_error_unknown,
3139 "result not as expected", return -1);
3140
3141 return 0;
3142 }
3143
3144 static int test_list(isl_ctx *ctx)
3145 {
3146 isl_id *a, *b, *c, *d, *id;
3147 isl_id_list *list;
3148 int ok;
3149
3150 a = isl_id_alloc(ctx, "a", NULL);
3151 b = isl_id_alloc(ctx, "b", NULL);
3152 c = isl_id_alloc(ctx, "c", NULL);
3153 d = isl_id_alloc(ctx, "d", NULL);
3154
3155 list = isl_id_list_alloc(ctx, 4);
3156 list = isl_id_list_add(list, a);
3157 list = isl_id_list_add(list, b);
3158 list = isl_id_list_add(list, c);
3159 list = isl_id_list_add(list, d);
3160 list = isl_id_list_drop(list, 1, 1);
3161
3162 if (isl_id_list_n_id(list) != 3) {
3163 isl_id_list_free(list);
3164 isl_die(ctx, isl_error_unknown,
3165 "unexpected number of elements in list", return -1);
3166 }
3167
3168 id = isl_id_list_get_id(list, 0);
3169 ok = id == a;
3170 isl_id_free(id);
3171 id = isl_id_list_get_id(list, 1);
3172 ok = ok && id == c;
3173 isl_id_free(id);
3174 id = isl_id_list_get_id(list, 2);
3175 ok = ok && id == d;
3176 isl_id_free(id);
3177
3178 isl_id_list_free(list);
3179
3180 if (!ok)
3181 isl_die(ctx, isl_error_unknown,
3182 "unexpected elements in list", return -1);
3183
3184 return 0;
3185 }
3186
3187 const char *set_conversion_tests[] = {
3188 "[N] -> { [i] : N - 1 <= 2 i <= N }",
3189 "[N] -> { [i] : exists a : i = 4 a and N - 1 <= i <= N }",
3190 "[N] -> { [i,j] : exists a : i = 4 a and N - 1 <= i, 2j <= N }",
3191 "[N] -> { [[i]->[j]] : exists a : i = 4 a and N - 1 <= i, 2j <= N }",
3192 };
3193
3194 /* Check that converting from isl_set to isl_pw_multi_aff and back
3195 * to isl_set produces the original isl_set.
3196 */
3197 static int test_set_conversion(isl_ctx *ctx)
3198 {
3199 int i;
3200 const char *str;
3201 isl_set *set1, *set2;
3202 isl_pw_multi_aff *pma;
3203 int equal;
3204
3205 for (i = 0; i < ARRAY_SIZE(set_conversion_tests); ++i) {
3206 str = set_conversion_tests[i];
3207 set1 = isl_set_read_from_str(ctx, str);
3208 pma = isl_pw_multi_aff_from_set(isl_set_copy(set1));
3209 set2 = isl_set_from_pw_multi_aff(pma);
3210 equal = isl_set_is_equal(set1, set2);
3211 isl_set_free(set1);
3212 isl_set_free(set2);
3213
3214 if (equal < 0)
3215 return -1;
3216 if (!equal)
3217 isl_die(ctx, isl_error_unknown, "bad conversion",
3218 return -1);
3219 }
3220
3221 return 0;
3222 }
3223
3224 /* Check that converting from isl_map to isl_pw_multi_aff and back
3225 * to isl_map produces the original isl_map.
3226 */
3227 static int test_map_conversion(isl_ctx *ctx)
3228 {
3229 const char *str;
3230 isl_map *map1, *map2;
3231 isl_pw_multi_aff *pma;
3232 int equal;
3233
3234 str = "{ [a, b, c, d] -> s0[a, b, e, f] : "
3235 "exists (e0 = [(a - 2c)/3], e1 = [(-4 + b - 5d)/9], "
3236 "e2 = [(-d + f)/9]: 3e0 = a - 2c and 9e1 = -4 + b - 5d and "
3237 "9e2 = -d + f and f >= 0 and f <= 8 and 9e >= -5 - 2a and "
3238 "9e <= -2 - 2a) }";
3239 map1 = isl_map_read_from_str(ctx, str);
3240 pma = isl_pw_multi_aff_from_map(isl_map_copy(map1));
3241 map2 = isl_map_from_pw_multi_aff(pma);
3242 equal = isl_map_is_equal(map1, map2);
3243 isl_map_free(map1);
3244 isl_map_free(map2);
3245
3246 if (equal < 0)
3247 return -1;
3248 if (!equal)
3249 isl_die(ctx, isl_error_unknown, "bad conversion", return -1);
3250
3251 return 0;
3252 }
3253
3254 static int test_conversion(isl_ctx *ctx)
3255 {
3256 if (test_set_conversion(ctx) < 0)
3257 return -1;
3258 if (test_map_conversion(ctx) < 0)
3259 return -1;
3260 return 0;
3261 }
3262
3263 struct {
3264 const char *set;
3265 const char *ma;
3266 const char *res;
3267 } preimage_tests[] = {
3268 { "{ B[i,j] : 0 <= i < 10 and 0 <= j < 100 }",
3269 "{ A[j,i] -> B[i,j] }",
3270 "{ A[j,i] : 0 <= i < 10 and 0 <= j < 100 }" },
3271 { "{ rat: B[i,j] : 0 <= i, j and 3 i + 5 j <= 100 }",
3272 "{ A[a,b] -> B[a/2,b/6] }",
3273 "{ rat: A[a,b] : 0 <= a, b and 9 a + 5 b <= 600 }" },
3274 { "{ B[i,j] : 0 <= i, j and 3 i + 5 j <= 100 }",
3275 "{ A[a,b] -> B[a/2,b/6] }",
3276 "{ A[a,b] : 0 <= a, b and 9 a + 5 b <= 600 and "
3277 "exists i,j : a = 2 i and b = 6 j }" },
3278 { "[n] -> { S[i] : 0 <= i <= 100 }", "[n] -> { S[n] }",
3279 "[n] -> { : 0 <= n <= 100 }" },
3280 { "{ B[i] : 0 <= i < 100 and exists a : i = 4 a }",
3281 "{ A[a] -> B[2a] }",
3282 "{ A[a] : 0 <= a < 50 and exists b : a = 2 b }" },
3283 { "{ B[i] : 0 <= i < 100 and exists a : i = 4 a }",
3284 "{ A[a] -> B[([a/2])] }",
3285 "{ A[a] : 0 <= a < 200 and exists b : [a/2] = 4 b }" },
3286 { "{ B[i,j,k] : 0 <= i,j,k <= 100 }",
3287 "{ A[a] -> B[a,a,a/3] }",
3288 "{ A[a] : 0 <= a <= 100 and exists b : a = 3 b }" },
3289 { "{ B[i,j] : j = [(i)/2] } ", "{ A[i,j] -> B[i/3,j] }",
3290 "{ A[i,j] : j = [(i)/6] and exists a : i = 3 a }" },
3291 };
3292
3293 int test_preimage(isl_ctx *ctx)
3294 {
3295 int i;
3296 isl_basic_set *bset1, *bset2;
3297 isl_multi_aff *ma;
3298 int equal;
3299
3300 for (i = 0; i < ARRAY_SIZE(preimage_tests); ++i) {
3301 bset1 = isl_basic_set_read_from_str(ctx, preimage_tests[i].set);
3302 ma = isl_multi_aff_read_from_str(ctx, preimage_tests[i].ma);
3303 bset2 = isl_basic_set_read_from_str(ctx, preimage_tests[i].res);
3304 bset1 = isl_basic_set_preimage_multi_aff(bset1, ma);
3305 equal = isl_basic_set_is_equal(bset1, bset2);
3306 isl_basic_set_free(bset1);
3307 isl_basic_set_free(bset2);
3308 if (equal < 0)
3309 return -1;
3310 if (!equal)
3311 isl_die(ctx, isl_error_unknown, "bad preimage",
3312 return -1);
3313 }
3314
3315 return 0;
3316 }
3317
3318 struct {
3319 const char *ma1;
3320 const char *ma;
3321 const char *res;
3322 } pullback_tests[] = {
3323 { "{ B[i,j] -> C[i + 2j] }" , "{ A[a,b] -> B[b,a] }",
3324 "{ A[a,b] -> C[b + 2a] }" },
3325 { "{ B[i] -> C[2i] }", "{ A[a] -> B[(a)/2] }", "{ A[a] -> C[a] }" },
3326 { "{ B[i] -> C[(i)/2] }", "{ A[a] -> B[2a] }", "{ A[a] -> C[a] }" },
3327 { "{ B[i] -> C[(i)/2] }", "{ A[a] -> B[(a)/3] }",
3328 "{ A[a] -> C[(a)/6] }" },
3329 { "{ B[i] -> C[2i] }", "{ A[a] -> B[5a] }", "{ A[a] -> C[10a] }" },
3330 { "{ B[i] -> C[2i] }", "{ A[a] -> B[(a)/3] }",
3331 "{ A[a] -> C[(2a)/3] }" },
3332 { "{ B[i,j] -> C[i + j] }", "{ A[a] -> B[a,a] }", "{ A[a] -> C[2a] }"},
3333 { "{ B[a] -> C[a,a] }", "{ A[i,j] -> B[i + j] }",
3334 "{ A[i,j] -> C[i + j, i + j] }"},
3335 { "{ B[i] -> C[([i/2])] }", "{ B[5] }", "{ C[2] }" },
3336 { "[n] -> { B[i,j] -> C[([i/2]) + 2j] }",
3337 "[n] -> { B[n,[n/3]] }", "[n] -> { C[([n/2]) + 2*[n/3]] }", },
3338 };
3339
3340 static int test_pullback(isl_ctx *ctx)
3341 {
3342 int i;
3343 isl_multi_aff *ma1, *ma2;
3344 isl_multi_aff *ma;
3345 int equal;
3346
3347 for (i = 0; i < ARRAY_SIZE(pullback_tests); ++i) {
3348 ma1 = isl_multi_aff_read_from_str(ctx, pullback_tests[i].ma1);
3349 ma = isl_multi_aff_read_from_str(ctx, pullback_tests[i].ma);
3350 ma2 = isl_multi_aff_read_from_str(ctx, pullback_tests[i].res);
3351 ma1 = isl_multi_aff_pullback_multi_aff(ma1, ma);
3352 equal = isl_multi_aff_plain_is_equal(ma1, ma2);
3353 isl_multi_aff_free(ma1);
3354 isl_multi_aff_free(ma2);
3355 if (equal < 0)
3356 return -1;
3357 if (!equal)
3358 isl_die(ctx, isl_error_unknown, "bad pullback",
3359 return -1);
3360 }
3361
3362 return 0;
3363 }
3364
3365 /* Check that negation is printed correctly.
3366 */
3367 static int test_ast(isl_ctx *ctx)
3368 {
3369 isl_ast_expr *expr, *expr1, *expr2, *expr3;
3370 char *str;
3371 int ok;
3372
3373 expr1 = isl_ast_expr_from_id(isl_id_alloc(ctx, "A", NULL));
3374 expr2 = isl_ast_expr_from_id(isl_id_alloc(ctx, "B", NULL));
3375 expr = isl_ast_expr_add(expr1, expr2);
3376 expr = isl_ast_expr_neg(expr);
3377 str = isl_ast_expr_to_str(expr);
3378 ok = !strcmp(str, "-(A + B)");
3379 free(str);
3380 isl_ast_expr_free(expr);
3381
3382 if (!ok)
3383 isl_die(ctx, isl_error_unknown,
3384 "isl_ast_expr printed incorrectly", return -1);
3385
3386 expr1 = isl_ast_expr_from_id(isl_id_alloc(ctx, "A", NULL));
3387 expr2 = isl_ast_expr_from_id(isl_id_alloc(ctx, "B", NULL));
3388 expr = isl_ast_expr_add(expr1, expr2);
3389 expr3 = isl_ast_expr_from_id(isl_id_alloc(ctx, "C", NULL));
3390 expr = isl_ast_expr_sub(expr3, expr);
3391 str = isl_ast_expr_to_str(expr);
3392 ok = !strcmp(str, "C - (A + B)");
3393 free(str);
3394 isl_ast_expr_free(expr);
3395
3396 if (!ok)
3397 isl_die(ctx, isl_error_unknown,
3398 "isl_ast_expr printed incorrectly", return -1);
3399
3400 return 0;
3401 }
3402
3403 /* Check that the AST generator handles domains that are integrally disjoint
3404 * but not ratinoally disjoint.
3405 */
3406 static int test_ast_gen2(isl_ctx *ctx)
3407 {
3408 const char *str;
3409 isl_set *set;
3410 isl_union_map *schedule;
3411 isl_union_map *options;
3412 isl_ast_build *build;
3413 isl_ast_node *tree;
3414
3415 str = "{ A[i,j] -> [i,j] : 0 <= i,j <= 1 }";
3416 schedule = isl_union_map_read_from_str(ctx, str);
3417 set = isl_set_universe(isl_space_params_alloc(ctx, 0));
3418 build = isl_ast_build_from_context(set);
3419
3420 str = "{ [i,j] -> atomic[1] : i + j = 1; [i,j] -> unroll[1] : i = j }";
3421 options = isl_union_map_read_from_str(ctx, str);
3422 build = isl_ast_build_set_options(build, options);
3423 tree = isl_ast_build_ast_from_schedule(build, schedule);
3424 isl_ast_build_free(build);
3425 if (!tree)
3426 return -1;
3427 isl_ast_node_free(tree);
3428
3429 return 0;
3430 }
3431
3432 /* Increment *user on each call.
3433 */
3434 static __isl_give isl_ast_node *count_domains(__isl_take isl_ast_node *node,
3435 __isl_keep isl_ast_build *build, void *user)
3436 {
3437 int *n = user;
3438
3439 (*n)++;
3440
3441 return node;
3442 }
3443
3444 /* Test that unrolling tries to minimize the number of instances.
3445 * In particular, for the schedule given below, make sure it generates
3446 * 3 nodes (rather than 101).
3447 */
3448 static int test_ast_gen3(isl_ctx *ctx)
3449 {
3450 const char *str;
3451 isl_set *set;
3452 isl_union_map *schedule;
3453 isl_union_map *options;
3454 isl_ast_build *build;
3455 isl_ast_node *tree;
3456 int n_domain = 0;
3457
3458 str = "[n] -> { A[i] -> [i] : 0 <= i <= 100 and n <= i <= n + 2 }";
3459 schedule = isl_union_map_read_from_str(ctx, str);
3460 set = isl_set_universe(isl_space_params_alloc(ctx, 0));
3461
3462 str = "{ [i] -> unroll[0] }";
3463 options = isl_union_map_read_from_str(ctx, str);
3464
3465 build = isl_ast_build_from_context(set);
3466 build = isl_ast_build_set_options(build, options);
3467 build = isl_ast_build_set_at_each_domain(build,
3468 &count_domains, &n_domain);
3469 tree = isl_ast_build_ast_from_schedule(build, schedule);
3470 isl_ast_build_free(build);
3471 if (!tree)
3472 return -1;
3473
3474 isl_ast_node_free(tree);
3475
3476 if (n_domain != 3)
3477 isl_die(ctx, isl_error_unknown,
3478 "unexpected number of for nodes", return -1);
3479
3480 return 0;
3481 }
3482
3483 /* Check that if the ast_build_exploit_nested_bounds options is set,
3484 * we do not get an outer if node in the generated AST,
3485 * while we do get such an outer if node if the options is not set.
3486 */
3487 static int test_ast_gen4(isl_ctx *ctx)
3488 {
3489 const char *str;
3490 isl_set *set;
3491 isl_union_map *schedule;
3492 isl_ast_build *build;
3493 isl_ast_node *tree;
3494 enum isl_ast_node_type type;
3495 int enb;
3496
3497 enb = isl_options_get_ast_build_exploit_nested_bounds(ctx);
3498 str = "[N,M] -> { A[i,j] -> [i,j] : 0 <= i <= N and 0 <= j <= M }";
3499
3500 isl_options_set_ast_build_exploit_nested_bounds(ctx, 1);
3501
3502 schedule = isl_union_map_read_from_str(ctx, str);
3503 set = isl_set_universe(isl_space_params_alloc(ctx, 0));
3504 build = isl_ast_build_from_context(set);
3505 tree = isl_ast_build_ast_from_schedule(build, schedule);
3506 isl_ast_build_free(build);
3507 if (!tree)
3508 return -1;
3509
3510 type = isl_ast_node_get_type(tree);
3511 isl_ast_node_free(tree);
3512
3513 if (type == isl_ast_node_if)
3514 isl_die(ctx, isl_error_unknown,
3515 "not expecting if node", return -1);
3516
3517 isl_options_set_ast_build_exploit_nested_bounds(ctx, 0);
3518
3519 schedule = isl_union_map_read_from_str(ctx, str);
3520 set = isl_set_universe(isl_space_params_alloc(ctx, 0));
3521 build = isl_ast_build_from_context(set);
3522 tree = isl_ast_build_ast_from_schedule(build, schedule);
3523 isl_ast_build_free(build);
3524 if (!tree)
3525 return -1;
3526
3527 type = isl_ast_node_get_type(tree);
3528 isl_ast_node_free(tree);
3529
3530 if (type != isl_ast_node_if)
3531 isl_die(ctx, isl_error_unknown,
3532 "expecting if node", return -1);
3533
3534 isl_options_set_ast_build_exploit_nested_bounds(ctx, enb);
3535
3536 return 0;
3537 }
3538
3539 static int test_ast_gen(isl_ctx *ctx)
3540 {
3541 if (test_ast_gen2(ctx) < 0)
3542 return -1;
3543 if (test_ast_gen3(ctx) < 0)
3544 return -1;
3545 if (test_ast_gen4(ctx) < 0)
3546 return -1;
3547 return 0;
3548 }
3549
3550 struct {
3551 const char *name;
3552 int (*fn)(isl_ctx *ctx);
3553 } tests [] = {
3554 { "conversion", &test_conversion },
3555 { "list", &test_list },
3556 { "align parameters", &test_align_parameters },
3557 { "preimage", &test_preimage },
3558 { "pullback", &test_pullback },
3559 { "AST", &test_ast },
3560 { "AST generation", &test_ast_gen },
3561 { "eliminate", &test_eliminate },
3562 { "reisdue class", &test_residue_class },
3563 { "div", &test_div },
3564 { "slice", &test_slice },
3565 { "fixed power", &test_fixed_power },
3566 { "sample", &test_sample },
3567 { "output", &test_output },
3568 { "vertices", &test_vertices },
3569 { "fixed", &test_fixed },
3570 { "equal", &test_equal },
3571 { "product", &test_product },
3572 { "dim_max", &test_dim_max },
3573 { "affine", &test_aff },
3574 { "injective", &test_injective },
3575 { "schedule", &test_schedule },
3576 { "union_pw", &test_union_pw },
3577 { "parse", &test_parse },
3578 { "single-valued", &test_sv },
3579 { "affine hull", &test_affine_hull },
3580 { "coalesce", &test_coalesce },
3581 { "factorize", &test_factorize },
3582 { "subset", &test_subset },
3583 { "subtract", &test_subtract },
3584 };
3585
3586 int main()
3587 {
3588 int i;
3589 struct isl_ctx *ctx;
3590
3591 srcdir = getenv("srcdir");
3592 assert(srcdir);
3593
3594 ctx = isl_ctx_alloc();
3595 for (i = 0; i < ARRAY_SIZE(tests); ++i) {
3596 printf("%s\n", tests[i].name);
3597 if (tests[i].fn(ctx) < 0)
3598 goto error;
3599 }
3600 test_lift(ctx);
3601 test_bound(ctx);
3602 test_union(ctx);
3603 test_split_periods(ctx);
3604 test_pwqp(ctx);
3605 test_lex(ctx);
3606 test_bijective(ctx);
3607 test_dep(ctx);
3608 test_read(ctx);
3609 test_bounded(ctx);
3610 test_construction(ctx);
3611 test_dim(ctx);
3612 test_application(ctx);
3613 test_convex_hull(ctx);
3614 test_gist(ctx);
3615 test_closure(ctx);
3616 test_lexmin(ctx);
3617 isl_ctx_free(ctx);
3618 return 0;
3619 error:
3620 isl_ctx_free(ctx);
3621 return -1;
3622 }
Integer set library