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isl_map_coalesce: allow wrapping in sets that stick out in different directions
[isl.git] / isl_test.c
blob5e622ba2694619c4443ea96f1499c43b3d28325c
1 /*
2 * Copyright 2008-2009 Katholieke Universiteit Leuven
3 *
4 * Use of this software is governed by the GNU LGPLv2.1 license
5 *
6 * Written by Sven Verdoolaege, K.U.Leuven, Departement
7 * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
8 */
9
10 #include <assert.h>
11 #include <stdio.h>
12 #include <limits.h>
13 #include <isl_ctx.h>
14 #include <isl_set.h>
15 #include <isl_constraint.h>
16
17 static char *srcdir;
18
19 void test_read(struct isl_ctx *ctx)
20 {
21 char filename[PATH_MAX];
22 FILE *input;
23 int n;
24 struct isl_basic_set *bset1, *bset2;
25 const char *str = "{[y]: Exists ( alpha : 2alpha = y)}";
26
27 n = snprintf(filename, sizeof(filename),
28 "%s/test_inputs/set.omega", srcdir);
29 assert(n < sizeof(filename));
30 input = fopen(filename, "r");
31 assert(input);
32
33 bset1 = isl_basic_set_read_from_file(ctx, input, 0);
34 bset2 = isl_basic_set_read_from_str(ctx, str, 0);
35
36 assert(isl_basic_set_is_equal(bset1, bset2) == 1);
37
38 isl_basic_set_free(bset1);
39 isl_basic_set_free(bset2);
40
41 fclose(input);
42 }
43
44 /* Construct the basic set { [i] : 5 <= i <= N } */
45 void test_construction(struct isl_ctx *ctx)
46 {
47 isl_int v;
48 struct isl_dim *dim;
49 struct isl_basic_set *bset;
50 struct isl_constraint *c;
51
52 isl_int_init(v);
53
54 dim = isl_dim_set_alloc(ctx, 1, 1);
55 bset = isl_basic_set_universe(dim);
56
57 c = isl_inequality_alloc(isl_dim_copy(bset->dim));
58 isl_int_set_si(v, -1);
59 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
60 isl_int_set_si(v, 1);
61 isl_constraint_set_coefficient(c, isl_dim_param, 0, v);
62 bset = isl_basic_set_add_constraint(bset, c);
63
64 c = isl_inequality_alloc(isl_dim_copy(bset->dim));
65 isl_int_set_si(v, 1);
66 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
67 isl_int_set_si(v, -5);
68 isl_constraint_set_constant(c, v);
69 bset = isl_basic_set_add_constraint(bset, c);
70
71 isl_basic_set_free(bset);
72
73 isl_int_clear(v);
74 }
75
76 void test_dim(struct isl_ctx *ctx)
77 {
78 isl_map *map1, *map2;
79
80 map1 = isl_map_read_from_str(ctx,
81 "[n] -> { [i] -> [j] : exists (a = [i/10] : i - 10a <= n ) }", -1);
82 map1 = isl_map_add(map1, isl_dim_in, 1);
83 map2 = isl_map_read_from_str(ctx,
84 "[n] -> { [i,k] -> [j] : exists (a = [i/10] : i - 10a <= n ) }", -1);
85 assert(isl_map_is_equal(map1, map2));
86 isl_map_free(map2);
87
88 map1 = isl_map_project_out(map1, isl_dim_in, 0, 1);
89 map2 = isl_map_read_from_str(ctx, "[n] -> { [i] -> [j] : n >= 0 }", -1);
90 assert(isl_map_is_equal(map1, map2));
91
92 isl_map_free(map1);
93 isl_map_free(map2);
94 }
95
96 void test_div(struct isl_ctx *ctx)
97 {
98 isl_int v;
99 int pos;
100 struct isl_dim *dim;
101 struct isl_div *div;
102 struct isl_basic_set *bset;
103 struct isl_constraint *c;
104
105 isl_int_init(v);
106
107 /* test 1 */
108 dim = isl_dim_set_alloc(ctx, 0, 1);
109 bset = isl_basic_set_universe(dim);
110
111 c = isl_equality_alloc(isl_dim_copy(bset->dim));
112 isl_int_set_si(v, -1);
113 isl_constraint_set_constant(c, v);
114 isl_int_set_si(v, 1);
115 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
116 div = isl_div_alloc(isl_dim_copy(bset->dim));
117 c = isl_constraint_add_div(c, div, &pos);
118 isl_int_set_si(v, 3);
119 isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
120 bset = isl_basic_set_add_constraint(bset, c);
121
122 c = isl_equality_alloc(isl_dim_copy(bset->dim));
123 isl_int_set_si(v, 1);
124 isl_constraint_set_constant(c, v);
125 isl_int_set_si(v, -1);
126 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
127 div = isl_div_alloc(isl_dim_copy(bset->dim));
128 c = isl_constraint_add_div(c, div, &pos);
129 isl_int_set_si(v, 3);
130 isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
131 bset = isl_basic_set_add_constraint(bset, c);
132
133 assert(bset->n_div == 1);
134 isl_basic_set_free(bset);
135
136 /* test 2 */
137 dim = isl_dim_set_alloc(ctx, 0, 1);
138 bset = isl_basic_set_universe(dim);
139
140 c = isl_equality_alloc(isl_dim_copy(bset->dim));
141 isl_int_set_si(v, 1);
142 isl_constraint_set_constant(c, v);
143 isl_int_set_si(v, -1);
144 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
145 div = isl_div_alloc(isl_dim_copy(bset->dim));
146 c = isl_constraint_add_div(c, div, &pos);
147 isl_int_set_si(v, 3);
148 isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
149 bset = isl_basic_set_add_constraint(bset, c);
150
151 c = isl_equality_alloc(isl_dim_copy(bset->dim));
152 isl_int_set_si(v, -1);
153 isl_constraint_set_constant(c, v);
154 isl_int_set_si(v, 1);
155 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
156 div = isl_div_alloc(isl_dim_copy(bset->dim));
157 c = isl_constraint_add_div(c, div, &pos);
158 isl_int_set_si(v, 3);
159 isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
160 bset = isl_basic_set_add_constraint(bset, c);
161
162 assert(bset->n_div == 1);
163 isl_basic_set_free(bset);
164
165 /* test 3 */
166 dim = isl_dim_set_alloc(ctx, 0, 1);
167 bset = isl_basic_set_universe(dim);
168
169 c = isl_equality_alloc(isl_dim_copy(bset->dim));
170 isl_int_set_si(v, 1);
171 isl_constraint_set_constant(c, v);
172 isl_int_set_si(v, -1);
173 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
174 div = isl_div_alloc(isl_dim_copy(bset->dim));
175 c = isl_constraint_add_div(c, div, &pos);
176 isl_int_set_si(v, 3);
177 isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
178 bset = isl_basic_set_add_constraint(bset, c);
179
180 c = isl_equality_alloc(isl_dim_copy(bset->dim));
181 isl_int_set_si(v, -3);
182 isl_constraint_set_constant(c, v);
183 isl_int_set_si(v, 1);
184 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
185 div = isl_div_alloc(isl_dim_copy(bset->dim));
186 c = isl_constraint_add_div(c, div, &pos);
187 isl_int_set_si(v, 4);
188 isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
189 bset = isl_basic_set_add_constraint(bset, c);
190
191 assert(bset->n_div == 1);
192 isl_basic_set_free(bset);
193
194 /* test 4 */
195 dim = isl_dim_set_alloc(ctx, 0, 1);
196 bset = isl_basic_set_universe(dim);
197
198 c = isl_equality_alloc(isl_dim_copy(bset->dim));
199 isl_int_set_si(v, 2);
200 isl_constraint_set_constant(c, v);
201 isl_int_set_si(v, -1);
202 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
203 div = isl_div_alloc(isl_dim_copy(bset->dim));
204 c = isl_constraint_add_div(c, div, &pos);
205 isl_int_set_si(v, 3);
206 isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
207 bset = isl_basic_set_add_constraint(bset, c);
208
209 c = isl_equality_alloc(isl_dim_copy(bset->dim));
210 isl_int_set_si(v, -1);
211 isl_constraint_set_constant(c, v);
212 isl_int_set_si(v, 1);
213 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
214 div = isl_div_alloc(isl_dim_copy(bset->dim));
215 c = isl_constraint_add_div(c, div, &pos);
216 isl_int_set_si(v, 6);
217 isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
218 bset = isl_basic_set_add_constraint(bset, c);
219
220 assert(isl_basic_set_is_empty(bset));
221 isl_basic_set_free(bset);
222
223 /* test 5 */
224 dim = isl_dim_set_alloc(ctx, 0, 2);
225 bset = isl_basic_set_universe(dim);
226
227 c = isl_equality_alloc(isl_dim_copy(bset->dim));
228 isl_int_set_si(v, -1);
229 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
230 div = isl_div_alloc(isl_dim_copy(bset->dim));
231 c = isl_constraint_add_div(c, div, &pos);
232 isl_int_set_si(v, 3);
233 isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
234 bset = isl_basic_set_add_constraint(bset, c);
235
236 c = isl_equality_alloc(isl_dim_copy(bset->dim));
237 isl_int_set_si(v, 1);
238 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
239 isl_int_set_si(v, -3);
240 isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
241 bset = isl_basic_set_add_constraint(bset, c);
242
243 assert(bset->n_div == 0);
244 isl_basic_set_free(bset);
245
246 /* test 6 */
247 dim = isl_dim_set_alloc(ctx, 0, 2);
248 bset = isl_basic_set_universe(dim);
249
250 c = isl_equality_alloc(isl_dim_copy(bset->dim));
251 isl_int_set_si(v, -1);
252 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
253 div = isl_div_alloc(isl_dim_copy(bset->dim));
254 c = isl_constraint_add_div(c, div, &pos);
255 isl_int_set_si(v, 6);
256 isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
257 bset = isl_basic_set_add_constraint(bset, c);
258
259 c = isl_equality_alloc(isl_dim_copy(bset->dim));
260 isl_int_set_si(v, 1);
261 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
262 isl_int_set_si(v, -3);
263 isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
264 bset = isl_basic_set_add_constraint(bset, c);
265
266 assert(bset->n_div == 1);
267 isl_basic_set_free(bset);
268
269 /* test 7 */
270 /* This test is a bit tricky. We set up an equality
271 * a + 3b + 3c = 6 e0
272 * Normalization of divs creates _two_ divs
273 * a = 3 e0
274 * c - b - e0 = 2 e1
275 * Afterwards e0 is removed again because it has coefficient -1
276 * and we end up with the original equality and div again.
277 * Perhaps we can avoid the introduction of this temporary div.
278 */
279 dim = isl_dim_set_alloc(ctx, 0, 3);
280 bset = isl_basic_set_universe(dim);
281
282 c = isl_equality_alloc(isl_dim_copy(bset->dim));
283 isl_int_set_si(v, -1);
284 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
285 isl_int_set_si(v, -3);
286 isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
287 isl_int_set_si(v, -3);
288 isl_constraint_set_coefficient(c, isl_dim_set, 2, v);
289 div = isl_div_alloc(isl_dim_copy(bset->dim));
290 c = isl_constraint_add_div(c, div, &pos);
291 isl_int_set_si(v, 6);
292 isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
293 bset = isl_basic_set_add_constraint(bset, c);
294
295 /* Test disabled for now */
296 /*
297 assert(bset->n_div == 1);
298 */
299 isl_basic_set_free(bset);
300
301 /* test 8 */
302 dim = isl_dim_set_alloc(ctx, 0, 4);
303 bset = isl_basic_set_universe(dim);
304
305 c = isl_equality_alloc(isl_dim_copy(bset->dim));
306 isl_int_set_si(v, -1);
307 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
308 isl_int_set_si(v, -3);
309 isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
310 isl_int_set_si(v, -3);
311 isl_constraint_set_coefficient(c, isl_dim_set, 3, v);
312 div = isl_div_alloc(isl_dim_copy(bset->dim));
313 c = isl_constraint_add_div(c, div, &pos);
314 isl_int_set_si(v, 6);
315 isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
316 bset = isl_basic_set_add_constraint(bset, c);
317
318 c = isl_equality_alloc(isl_dim_copy(bset->dim));
319 isl_int_set_si(v, -1);
320 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
321 isl_int_set_si(v, 1);
322 isl_constraint_set_coefficient(c, isl_dim_set, 2, v);
323 isl_int_set_si(v, 1);
324 isl_constraint_set_constant(c, v);
325 bset = isl_basic_set_add_constraint(bset, c);
326
327 /* Test disabled for now */
328 /*
329 assert(bset->n_div == 1);
330 */
331 isl_basic_set_free(bset);
332
333 /* test 9 */
334 dim = isl_dim_set_alloc(ctx, 0, 2);
335 bset = isl_basic_set_universe(dim);
336
337 c = isl_equality_alloc(isl_dim_copy(bset->dim));
338 isl_int_set_si(v, 1);
339 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
340 isl_int_set_si(v, -1);
341 isl_constraint_set_coefficient(c, isl_dim_set, 1, v);
342 div = isl_div_alloc(isl_dim_copy(bset->dim));
343 c = isl_constraint_add_div(c, div, &pos);
344 isl_int_set_si(v, -2);
345 isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
346 bset = isl_basic_set_add_constraint(bset, c);
347
348 c = isl_equality_alloc(isl_dim_copy(bset->dim));
349 isl_int_set_si(v, -1);
350 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
351 div = isl_div_alloc(isl_dim_copy(bset->dim));
352 c = isl_constraint_add_div(c, div, &pos);
353 isl_int_set_si(v, 3);
354 isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
355 isl_int_set_si(v, 2);
356 isl_constraint_set_constant(c, v);
357 bset = isl_basic_set_add_constraint(bset, c);
358
359 bset = isl_basic_set_fix_si(bset, isl_dim_set, 0, 2);
360
361 assert(!isl_basic_set_is_empty(bset));
362
363 isl_basic_set_free(bset);
364
365 /* test 10 */
366 dim = isl_dim_set_alloc(ctx, 0, 2);
367 bset = isl_basic_set_universe(dim);
368
369 c = isl_equality_alloc(isl_dim_copy(bset->dim));
370 isl_int_set_si(v, 1);
371 isl_constraint_set_coefficient(c, isl_dim_set, 0, v);
372 div = isl_div_alloc(isl_dim_copy(bset->dim));
373 c = isl_constraint_add_div(c, div, &pos);
374 isl_int_set_si(v, -2);
375 isl_constraint_set_coefficient(c, isl_dim_div, pos, v);
376 bset = isl_basic_set_add_constraint(bset, c);
377
378 bset = isl_basic_set_fix_si(bset, isl_dim_set, 0, 2);
379
380 isl_basic_set_free(bset);
381
382 isl_int_clear(v);
383 }
384
385 void test_application_case(struct isl_ctx *ctx, const char *name)
386 {
387 char filename[PATH_MAX];
388 FILE *input;
389 int n;
390 struct isl_basic_set *bset1, *bset2;
391 struct isl_basic_map *bmap;
392
393 n = snprintf(filename, sizeof(filename),
394 "%s/test_inputs/%s.omega", srcdir, name);
395 assert(n < sizeof(filename));
396 input = fopen(filename, "r");
397 assert(input);
398
399 bset1 = isl_basic_set_read_from_file(ctx, input, 0);
400 bmap = isl_basic_map_read_from_file(ctx, input, 0);
401
402 bset1 = isl_basic_set_apply(bset1, bmap);
403
404 bset2 = isl_basic_set_read_from_file(ctx, input, 0);
405
406 assert(isl_basic_set_is_equal(bset1, bset2) == 1);
407
408 isl_basic_set_free(bset1);
409 isl_basic_set_free(bset2);
410
411 fclose(input);
412 }
413
414 void test_application(struct isl_ctx *ctx)
415 {
416 test_application_case(ctx, "application");
417 test_application_case(ctx, "application2");
418 }
419
420 void test_affine_hull_case(struct isl_ctx *ctx, const char *name)
421 {
422 char filename[PATH_MAX];
423 FILE *input;
424 int n;
425 struct isl_basic_set *bset1, *bset2;
426
427 n = snprintf(filename, sizeof(filename),
428 "%s/test_inputs/%s.polylib", srcdir, name);
429 assert(n < sizeof(filename));
430 input = fopen(filename, "r");
431 assert(input);
432
433 bset1 = isl_basic_set_read_from_file(ctx, input, 0);
434 bset2 = isl_basic_set_read_from_file(ctx, input, 0);
435
436 bset1 = isl_basic_set_affine_hull(bset1);
437
438 assert(isl_basic_set_is_equal(bset1, bset2) == 1);
439
440 isl_basic_set_free(bset1);
441 isl_basic_set_free(bset2);
442
443 fclose(input);
444 }
445
446 void test_affine_hull(struct isl_ctx *ctx)
447 {
448 test_affine_hull_case(ctx, "affine2");
449 test_affine_hull_case(ctx, "affine");
450 test_affine_hull_case(ctx, "affine3");
451 }
452
453 void test_convex_hull_case(struct isl_ctx *ctx, const char *name)
454 {
455 char filename[PATH_MAX];
456 FILE *input;
457 int n;
458 struct isl_basic_set *bset1, *bset2;
459 struct isl_set *set;
460
461 n = snprintf(filename, sizeof(filename),
462 "%s/test_inputs/%s.polylib", srcdir, name);
463 assert(n < sizeof(filename));
464 input = fopen(filename, "r");
465 assert(input);
466
467 bset1 = isl_basic_set_read_from_file(ctx, input, 0);
468 bset2 = isl_basic_set_read_from_file(ctx, input, 0);
469
470 set = isl_basic_set_union(bset1, bset2);
471 bset1 = isl_set_convex_hull(set);
472
473 bset2 = isl_basic_set_read_from_file(ctx, input, 0);
474
475 assert(isl_basic_set_is_equal(bset1, bset2) == 1);
476
477 isl_basic_set_free(bset1);
478 isl_basic_set_free(bset2);
479
480 fclose(input);
481 }
482
483 void test_convex_hull(struct isl_ctx *ctx)
484 {
485 const char *str1, *str2;
486 isl_set *set1, *set2;
487
488 test_convex_hull_case(ctx, "convex0");
489 test_convex_hull_case(ctx, "convex1");
490 test_convex_hull_case(ctx, "convex2");
491 test_convex_hull_case(ctx, "convex3");
492 test_convex_hull_case(ctx, "convex4");
493 test_convex_hull_case(ctx, "convex5");
494 test_convex_hull_case(ctx, "convex6");
495 test_convex_hull_case(ctx, "convex7");
496 test_convex_hull_case(ctx, "convex8");
497 test_convex_hull_case(ctx, "convex9");
498 test_convex_hull_case(ctx, "convex10");
499 test_convex_hull_case(ctx, "convex11");
500 test_convex_hull_case(ctx, "convex12");
501 test_convex_hull_case(ctx, "convex13");
502 test_convex_hull_case(ctx, "convex14");
503 test_convex_hull_case(ctx, "convex15");
504
505 str1 = "{ [i0, i1, i2] : (i2 = 1 and i0 = 0 and i1 >= 0) or "
506 "(i0 = 1 and i1 = 0 and i2 = 1) or "
507 "(i0 = 0 and i1 = 0 and i2 = 0) }";
508 str2 = "{ [i0, i1, i2] : i0 >= 0 and i2 >= i0 and i2 <= 1 and i1 >= 0 }";
509 set1 = isl_set_read_from_str(ctx, str1, -1);
510 set2 = isl_set_read_from_str(ctx, str2, -1);
511 set1 = isl_set_from_basic_set(isl_set_convex_hull(set1));
512 assert(isl_set_is_equal(set1, set2));
513 isl_set_free(set1);
514 isl_set_free(set2);
515 }
516
517 void test_gist_case(struct isl_ctx *ctx, const char *name)
518 {
519 char filename[PATH_MAX];
520 FILE *input;
521 int n;
522 struct isl_basic_set *bset1, *bset2;
523
524 n = snprintf(filename, sizeof(filename),
525 "%s/test_inputs/%s.polylib", srcdir, name);
526 assert(n < sizeof(filename));
527 input = fopen(filename, "r");
528 assert(input);
529
530 bset1 = isl_basic_set_read_from_file(ctx, input, 0);
531 bset2 = isl_basic_set_read_from_file(ctx, input, 0);
532
533 bset1 = isl_basic_set_gist(bset1, bset2);
534
535 bset2 = isl_basic_set_read_from_file(ctx, input, 0);
536
537 assert(isl_basic_set_is_equal(bset1, bset2) == 1);
538
539 isl_basic_set_free(bset1);
540 isl_basic_set_free(bset2);
541
542 fclose(input);
543 }
544
545 void test_gist(struct isl_ctx *ctx)
546 {
547 test_gist_case(ctx, "gist1");
548 }
549
550 void test_coalesce_set(isl_ctx *ctx, const char *str, int check_one)
551 {
552 isl_set *set, *set2;
553
554 set = isl_set_read_from_str(ctx, str, -1);
555 set = isl_set_coalesce(set);
556 set2 = isl_set_read_from_str(ctx, str, -1);
557 assert(isl_set_is_equal(set, set2));
558 if (check_one)
559 assert(set && set->n == 1);
560 isl_set_free(set);
561 isl_set_free(set2);
562 }
563
564 void test_coalesce(struct isl_ctx *ctx)
565 {
566 const char *str;
567 struct isl_set *set, *set2;
568 struct isl_map *map, *map2;
569
570 set = isl_set_read_from_str(ctx,
571 "{[x,y]: x >= 0 & x <= 10 & y >= 0 & y <= 10 or "
572 "y >= x & x >= 2 & 5 >= y }", -1);
573 set = isl_set_coalesce(set);
574 assert(set && set->n == 1);
575 isl_set_free(set);
576
577 set = isl_set_read_from_str(ctx,
578 "{[x,y]: y >= 0 & 2x + y <= 30 & y <= 10 & x >= 0 or "
579 "x + y >= 10 & y <= x & x + y <= 20 & y >= 0}", -1);
580 set = isl_set_coalesce(set);
581 assert(set && set->n == 1);
582 isl_set_free(set);
583
584 set = isl_set_read_from_str(ctx,
585 "{[x,y]: y >= 0 & 2x + y <= 30 & y <= 10 & x >= 0 or "
586 "x + y >= 10 & y <= x & x + y <= 19 & y >= 0}", -1);
587 set = isl_set_coalesce(set);
588 assert(set && set->n == 2);
589 isl_set_free(set);
590
591 set = isl_set_read_from_str(ctx,
592 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
593 "y >= 0 & x >= 6 & x <= 10 & y <= x}", -1);
594 set = isl_set_coalesce(set);
595 assert(set && set->n == 1);
596 isl_set_free(set);
597
598 set = isl_set_read_from_str(ctx,
599 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
600 "y >= 0 & x >= 7 & x <= 10 & y <= x}", -1);
601 set = isl_set_coalesce(set);
602 assert(set && set->n == 2);
603 isl_set_free(set);
604
605 set = isl_set_read_from_str(ctx,
606 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
607 "y >= 0 & x >= 6 & x <= 10 & y + 1 <= x}", -1);
608 set = isl_set_coalesce(set);
609 assert(set && set->n == 2);
610 isl_set_free(set);
611
612 set = isl_set_read_from_str(ctx,
613 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
614 "y >= 0 & x = 6 & y <= 6}", -1);
615 set = isl_set_coalesce(set);
616 assert(set && set->n == 1);
617 isl_set_free(set);
618
619 set = isl_set_read_from_str(ctx,
620 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
621 "y >= 0 & x = 7 & y <= 6}", -1);
622 set = isl_set_coalesce(set);
623 assert(set && set->n == 2);
624 isl_set_free(set);
625
626 set = isl_set_read_from_str(ctx,
627 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
628 "y >= 0 & x = 6 & y <= 5}", -1);
629 set = isl_set_coalesce(set);
630 assert(set && set->n == 1);
631 set2 = isl_set_read_from_str(ctx,
632 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
633 "y >= 0 & x = 6 & y <= 5}", -1);
634 assert(isl_set_is_equal(set, set2));
635 isl_set_free(set);
636 isl_set_free(set2);
637
638 set = isl_set_read_from_str(ctx,
639 "{[x,y]: y >= 0 & x <= 5 & y <= x or "
640 "y >= 0 & x = 6 & y <= 7}", -1);
641 set = isl_set_coalesce(set);
642 assert(set && set->n == 2);
643 isl_set_free(set);
644
645 set = isl_set_read_from_str(ctx,
646 "[n] -> { [i] : i = 1 and n >= 2 or 2 <= i and i <= n }", -1);
647 set = isl_set_coalesce(set);
648 assert(set && set->n == 1);
649 set2 = isl_set_read_from_str(ctx,
650 "[n] -> { [i] : i = 1 and n >= 2 or 2 <= i and i <= n }", -1);
651 assert(isl_set_is_equal(set, set2));
652 isl_set_free(set);
653 isl_set_free(set2);
654
655 set = isl_set_read_from_str(ctx,
656 "{[x,y] : x >= 0 and y >= 0 or 0 <= y and y <= 5 and x = -1}", -1);
657 set = isl_set_coalesce(set);
658 set2 = isl_set_read_from_str(ctx,
659 "{[x,y] : x >= 0 and y >= 0 or 0 <= y and y <= 5 and x = -1}", -1);
660 assert(isl_set_is_equal(set, set2));
661 isl_set_free(set);
662 isl_set_free(set2);
663
664 set = isl_set_read_from_str(ctx,
665 "[n] -> { [i] : 1 <= i and i <= n - 1 or "
666 "2 <= i and i <= n }", -1);
667 set = isl_set_coalesce(set);
668 assert(set && set->n == 1);
669 set2 = isl_set_read_from_str(ctx,
670 "[n] -> { [i] : 1 <= i and i <= n - 1 or "
671 "2 <= i and i <= n }", -1);
672 assert(isl_set_is_equal(set, set2));
673 isl_set_free(set);
674 isl_set_free(set2);
675
676 map = isl_map_read_from_str(ctx,
677 "[n] -> { [i0] -> [o0] : exists (e0 = [(i0)/4], e1 = [(o0)/4], "
678 "e2 = [(n)/2], e3 = [(-2 + i0)/4], e4 = [(-2 + o0)/4], "
679 "e5 = [(-2n + i0)/4]: 2e2 = n and 4e3 = -2 + i0 and "
680 "4e4 = -2 + o0 and i0 >= 8 + 2n and o0 >= 2 + i0 and "
681 "o0 <= 56 + 2n and o0 <= -12 + 4n and i0 <= 57 + 2n and "
682 "i0 <= -11 + 4n and o0 >= 6 + 2n and 4e0 <= i0 and "
683 "4e0 >= -3 + i0 and 4e1 <= o0 and 4e1 >= -3 + o0 and "
684 "4e5 <= -2n + i0 and 4e5 >= -3 - 2n + i0);"
685 "[i0] -> [o0] : exists (e0 = [(i0)/4], e1 = [(o0)/4], "
686 "e2 = [(n)/2], e3 = [(-2 + i0)/4], e4 = [(-2 + o0)/4], "
687 "e5 = [(-2n + i0)/4]: 2e2 = n and 4e3 = -2 + i0 and "
688 "4e4 = -2 + o0 and 2e0 >= 3 + n and e0 <= -4 + n and "
689 "2e0 <= 27 + n and e1 <= -4 + n and 2e1 <= 27 + n and "
690 "2e1 >= 2 + n and e1 >= 1 + e0 and i0 >= 7 + 2n and "
691 "i0 <= -11 + 4n and i0 <= 57 + 2n and 4e0 <= -2 + i0 and "
692 "4e0 >= -3 + i0 and o0 >= 6 + 2n and o0 <= -11 + 4n and "
693 "o0 <= 57 + 2n and 4e1 <= -2 + o0 and 4e1 >= -3 + o0 and "
694 "4e5 <= -2n + i0 and 4e5 >= -3 - 2n + i0 ) }", -1);
695 map = isl_map_coalesce(map);
696 map2 = isl_map_read_from_str(ctx,
697 "[n] -> { [i0] -> [o0] : exists (e0 = [(i0)/4], e1 = [(o0)/4], "
698 "e2 = [(n)/2], e3 = [(-2 + i0)/4], e4 = [(-2 + o0)/4], "
699 "e5 = [(-2n + i0)/4]: 2e2 = n and 4e3 = -2 + i0 and "
700 "4e4 = -2 + o0 and i0 >= 8 + 2n and o0 >= 2 + i0 and "
701 "o0 <= 56 + 2n and o0 <= -12 + 4n and i0 <= 57 + 2n and "
702 "i0 <= -11 + 4n and o0 >= 6 + 2n and 4e0 <= i0 and "
703 "4e0 >= -3 + i0 and 4e1 <= o0 and 4e1 >= -3 + o0 and "
704 "4e5 <= -2n + i0 and 4e5 >= -3 - 2n + i0);"
705 "[i0] -> [o0] : exists (e0 = [(i0)/4], e1 = [(o0)/4], "
706 "e2 = [(n)/2], e3 = [(-2 + i0)/4], e4 = [(-2 + o0)/4], "
707 "e5 = [(-2n + i0)/4]: 2e2 = n and 4e3 = -2 + i0 and "
708 "4e4 = -2 + o0 and 2e0 >= 3 + n and e0 <= -4 + n and "
709 "2e0 <= 27 + n and e1 <= -4 + n and 2e1 <= 27 + n and "
710 "2e1 >= 2 + n and e1 >= 1 + e0 and i0 >= 7 + 2n and "
711 "i0 <= -11 + 4n and i0 <= 57 + 2n and 4e0 <= -2 + i0 and "
712 "4e0 >= -3 + i0 and o0 >= 6 + 2n and o0 <= -11 + 4n and "
713 "o0 <= 57 + 2n and 4e1 <= -2 + o0 and 4e1 >= -3 + o0 and "
714 "4e5 <= -2n + i0 and 4e5 >= -3 - 2n + i0 ) }", -1);
715 assert(isl_map_is_equal(map, map2));
716 isl_map_free(map);
717 isl_map_free(map2);
718
719 str = "[n, m] -> { [] -> [o0, o2, o3] : (o3 = 1 and o0 >= 1 + m and "
720 "o0 <= n + m and o2 <= m and o0 >= 2 + n and o2 >= 3) or "
721 "(o0 >= 2 + n and o0 >= 1 + m and o0 <= n + m and n >= 1 and "
722 "o3 <= -1 + o2 and o3 >= 1 - m + o2 and o3 >= 2 and o3 <= n) }";
723 map = isl_map_read_from_str(ctx, str, -1);
724 map = isl_map_coalesce(map);
725 map2 = isl_map_read_from_str(ctx, str, -1);
726 assert(isl_map_is_equal(map, map2));
727 isl_map_free(map);
728 isl_map_free(map2);
729
730 str = "[M, N] -> { [i0, i1, i2, i3, i4, i5, i6] -> "
731 "[o0, o1, o2, o3, o4, o5, o6] : "
732 "(o6 <= -4 + 2M - 2N + i0 + i1 - i2 + i6 - o0 - o1 + o2 and "
733 "o3 <= -2 + i3 and o6 >= 2 + i0 + i3 + i6 - o0 - o3 and "
734 "o6 >= 2 - M + N + i3 + i4 + i6 - o3 - o4 and o0 <= -1 + i0 and "
735 "o4 >= 4 - 3M + 3N - i0 - i1 + i2 + 2i3 + i4 + o0 + o1 - o2 - 2o3 "
736 "and o6 <= -3 + 2M - 2N + i3 + i4 - i5 + i6 - o3 - o4 + o5 and "
737 "2o6 <= -5 + 5M - 5N + 2i0 + i1 - i2 - i5 + 2i6 - 2o0 - o1 + o2 + o5 "
738 "and o6 >= 2i0 + i1 + i6 - 2o0 - o1 and "
739 "3o6 <= -5 + 4M - 4N + 2i0 + i1 - i2 + 2i3 + i4 - i5 + 3i6 "
740 "- 2o0 - o1 + o2 - 2o3 - o4 + o5) or "
741 "(N >= 2 and o3 <= -1 + i3 and o0 <= -1 + i0 and "
742 "o6 >= i3 + i6 - o3 and M >= 0 and "
743 "2o6 >= 1 + i0 + i3 + 2i6 - o0 - o3 and "
744 "o6 >= 1 - M + i0 + i6 - o0 and N >= 2M and o6 >= i0 + i6 - o0) }";
745 map = isl_map_read_from_str(ctx, str, -1);
746 map = isl_map_coalesce(map);
747 map2 = isl_map_read_from_str(ctx, str, -1);
748 assert(isl_map_is_equal(map, map2));
749 isl_map_free(map);
750 isl_map_free(map2);
751
752 str = "[M, N] -> { [] -> [o0] : (o0 = 0 and M >= 1 and N >= 2) or "
753 "(o0 = 0 and M >= 1 and N >= 2M and N >= 2 + M) or "
754 "(o0 = 0 and M >= 2 and N >= 3) or "
755 "(M = 0 and o0 = 0 and N >= 3) }";
756 map = isl_map_read_from_str(ctx, str, -1);
757 map = isl_map_coalesce(map);
758 map2 = isl_map_read_from_str(ctx, str, -1);
759 assert(isl_map_is_equal(map, map2));
760 isl_map_free(map);
761 isl_map_free(map2);
762
763 str = "{ [i0, i1, i2, i3] : (i1 = 10i0 and i0 >= 1 and 10i0 <= 100 and "
764 "i3 <= 9 + 10 i2 and i3 >= 1 + 10i2 and i3 >= 0) or "
765 "(i1 <= 9 + 10i0 and i1 >= 1 + 10i0 and i2 >= 0 and "
766 "i0 >= 0 and i1 <= 100 and i3 <= 9 + 10i2 and i3 >= 1 + 10i2) }";
767 map = isl_map_read_from_str(ctx, str, -1);
768 map = isl_map_coalesce(map);
769 map2 = isl_map_read_from_str(ctx, str, -1);
770 assert(isl_map_is_equal(map, map2));
771 isl_map_free(map);
772 isl_map_free(map2);
773
774 test_coalesce_set(ctx,
775 "[M] -> { [i1] : (i1 >= 2 and i1 <= M) or "
776 "(i1 = M and M >= 1) }", 0);
777 test_coalesce_set(ctx,
778 "{[x,y] : x,y >= 0; [x,y] : 10 <= x <= 20 and y >= -1 }", 0);
779 test_coalesce_set(ctx,
780 "{ [x, y] : (x >= 1 and y >= 1 and x <= 2 and y <= 2) or "
781 "(y = 3 and x = 1) }", 1);
782 test_coalesce_set(ctx,
783 "[M] -> { [i0, i1, i2, i3, i4] : (i1 >= 3 and i4 >= 2 + i2 and "
784 "i2 >= 2 and i0 >= 2 and i3 >= 1 + i2 and i0 <= M and "
785 "i1 <= M and i3 <= M and i4 <= M) or "
786 "(i1 >= 2 and i4 >= 1 + i2 and i2 >= 2 and i0 >= 2 and "
787 "i3 >= 1 + i2 and i0 <= M and i1 <= -1 + M and i3 <= M and "
788 "i4 <= -1 + M) }", 1);
789 test_coalesce_set(ctx,
790 "{ [x, y] : (x >= 0 and y >= 0 and x <= 10 and y <= 10) or "
791 "(x >= 1 and y >= 1 and x <= 11 and y <= 11) }", 1);
792 test_coalesce_set(ctx,
793 "{[x,y,z] : y + 2 >= 0 and x - y + 1 >= 0 and "
794 "-x - y + 1 >= 0 and -3 <= z <= 3;"
795 "[x,y,z] : -x+z + 20 >= 0 and -x-z + 20 >= 0 and "
796 "x-z + 20 >= 0 and x+z + 20 >= 0 and -10 <= y <= 0}", 1);
797 test_coalesce_set(ctx,
798 "{[x,y] : 0 <= x,y <= 10; [5,y]: 4 <=y <= 11}", 1);
799 }
800
801 void test_closure(struct isl_ctx *ctx)
802 {
803 const char *str;
804 isl_set *dom;
805 isl_map *up, *right;
806 isl_map *map, *map2;
807 int exact;
808
809 /* COCOA example 1 */
810 map = isl_map_read_from_str(ctx,
811 "[n,k] -> { [i,j] -> [i2,j2] : i2 = i + 1 and j2 = j + 1 and "
812 "1 <= i and i < n and 1 <= j and j < n or "
813 "i2 = i + 1 and j2 = j - 1 and "
814 "1 <= i and i < n and 2 <= j and j <= n }", -1);
815 map = isl_map_power(map, 1, &exact);
816 assert(exact);
817 isl_map_free(map);
818
819 /* COCOA example 1 */
820 map = isl_map_read_from_str(ctx,
821 "[n] -> { [i,j] -> [i2,j2] : i2 = i + 1 and j2 = j + 1 and "
822 "1 <= i and i < n and 1 <= j and j < n or "
823 "i2 = i + 1 and j2 = j - 1 and "
824 "1 <= i and i < n and 2 <= j and j <= n }", -1);
825 map = isl_map_transitive_closure(map, &exact);
826 assert(exact);
827 map2 = isl_map_read_from_str(ctx,
828 "[n] -> { [i,j] -> [i2,j2] : exists (k1,k2,k : "
829 "1 <= i and i < n and 1 <= j and j <= n and "
830 "2 <= i2 and i2 <= n and 1 <= j2 and j2 <= n and "
831 "i2 = i + k1 + k2 and j2 = j + k1 - k2 and "
832 "k1 >= 0 and k2 >= 0 and k1 + k2 = k and k >= 1 )}", -1);
833 assert(isl_map_is_equal(map, map2));
834 isl_map_free(map2);
835 isl_map_free(map);
836
837 map = isl_map_read_from_str(ctx,
838 "[n] -> { [x] -> [y] : y = x + 1 and 0 <= x and x <= n and "
839 " 0 <= y and y <= n }", -1);
840 map = isl_map_transitive_closure(map, &exact);
841 map2 = isl_map_read_from_str(ctx,
842 "[n] -> { [x] -> [y] : y > x and 0 <= x and x <= n and "
843 " 0 <= y and y <= n }", -1);
844 assert(isl_map_is_equal(map, map2));
845 isl_map_free(map2);
846 isl_map_free(map);
847
848 /* COCOA example 2 */
849 map = isl_map_read_from_str(ctx,
850 "[n] -> { [i,j] -> [i2,j2] : i2 = i + 2 and j2 = j + 2 and "
851 "1 <= i and i < n - 1 and 1 <= j and j < n - 1 or "
852 "i2 = i + 2 and j2 = j - 2 and "
853 "1 <= i and i < n - 1 and 3 <= j and j <= n }", -1);
854 map = isl_map_transitive_closure(map, &exact);
855 assert(exact);
856 map2 = isl_map_read_from_str(ctx,
857 "[n] -> { [i,j] -> [i2,j2] : exists (k1,k2,k : "
858 "1 <= i and i < n - 1 and 1 <= j and j <= n and "
859 "3 <= i2 and i2 <= n and 1 <= j2 and j2 <= n and "
860 "i2 = i + 2 k1 + 2 k2 and j2 = j + 2 k1 - 2 k2 and "
861 "k1 >= 0 and k2 >= 0 and k1 + k2 = k and k >= 1) }", -1);
862 assert(isl_map_is_equal(map, map2));
863 isl_map_free(map);
864 isl_map_free(map2);
865
866 /* COCOA Fig.2 left */
867 map = isl_map_read_from_str(ctx,
868 "[n] -> { [i,j] -> [i2,j2] : i2 = i + 2 and j2 = j and "
869 "i <= 2 j - 3 and i <= n - 2 and j <= 2 i - 1 and "
870 "j <= n or "
871 "i2 = i and j2 = j + 2 and i <= 2 j - 1 and i <= n and "
872 "j <= 2 i - 3 and j <= n - 2 or "
873 "i2 = i + 1 and j2 = j + 1 and i <= 2 j - 1 and "
874 "i <= n - 1 and j <= 2 i - 1 and j <= n - 1 }", -1);
875 map = isl_map_transitive_closure(map, &exact);
876 assert(exact);
877 isl_map_free(map);
878
879 /* COCOA Fig.2 right */
880 map = isl_map_read_from_str(ctx,
881 "[n,k] -> { [i,j] -> [i2,j2] : i2 = i + 3 and j2 = j and "
882 "i <= 2 j - 4 and i <= n - 3 and j <= 2 i - 1 and "
883 "j <= n or "
884 "i2 = i and j2 = j + 3 and i <= 2 j - 1 and i <= n and "
885 "j <= 2 i - 4 and j <= n - 3 or "
886 "i2 = i + 1 and j2 = j + 1 and i <= 2 j - 1 and "
887 "i <= n - 1 and j <= 2 i - 1 and j <= n - 1 }", -1);
888 map = isl_map_power(map, 1, &exact);
889 assert(exact);
890 isl_map_free(map);
891
892 /* COCOA Fig.2 right */
893 map = isl_map_read_from_str(ctx,
894 "[n] -> { [i,j] -> [i2,j2] : i2 = i + 3 and j2 = j and "
895 "i <= 2 j - 4 and i <= n - 3 and j <= 2 i - 1 and "
896 "j <= n or "
897 "i2 = i and j2 = j + 3 and i <= 2 j - 1 and i <= n and "
898 "j <= 2 i - 4 and j <= n - 3 or "
899 "i2 = i + 1 and j2 = j + 1 and i <= 2 j - 1 and "
900 "i <= n - 1 and j <= 2 i - 1 and j <= n - 1 }", -1);
901 map = isl_map_transitive_closure(map, &exact);
902 assert(exact);
903 map2 = isl_map_read_from_str(ctx,
904 "[n] -> { [i,j] -> [i2,j2] : exists (k1,k2,k3,k : "
905 "i <= 2 j - 1 and i <= n and j <= 2 i - 1 and "
906 "j <= n and 3 + i + 2 j <= 3 n and "
907 "3 + 2 i + j <= 3n and i2 <= 2 j2 -1 and i2 <= n and "
908 "i2 <= 3 j2 - 4 and j2 <= 2 i2 -1 and j2 <= n and "
909 "13 + 4 j2 <= 11 i2 and i2 = i + 3 k1 + k3 and "
910 "j2 = j + 3 k2 + k3 and k1 >= 0 and k2 >= 0 and "
911 "k3 >= 0 and k1 + k2 + k3 = k and k > 0) }", -1);
912 assert(isl_map_is_equal(map, map2));
913 isl_map_free(map2);
914 isl_map_free(map);
915
916 /* COCOA Fig.1 right */
917 dom = isl_set_read_from_str(ctx,
918 "{ [x,y] : x >= 0 and -2 x + 3 y >= 0 and x <= 3 and "
919 "2 x - 3 y + 3 >= 0 }", -1);
920 right = isl_map_read_from_str(ctx,
921 "{ [x,y] -> [x2,y2] : x2 = x + 1 and y2 = y }", -1);
922 up = isl_map_read_from_str(ctx,
923 "{ [x,y] -> [x2,y2] : x2 = x and y2 = y + 1 }", -1);
924 right = isl_map_intersect_domain(right, isl_set_copy(dom));
925 right = isl_map_intersect_range(right, isl_set_copy(dom));
926 up = isl_map_intersect_domain(up, isl_set_copy(dom));
927 up = isl_map_intersect_range(up, dom);
928 map = isl_map_union(up, right);
929 map = isl_map_transitive_closure(map, &exact);
930 assert(exact);
931 map2 = isl_map_read_from_str(ctx,
932 "{ [0,0] -> [0,1]; [0,0] -> [1,1]; [0,1] -> [1,1]; "
933 " [2,2] -> [3,2]; [2,2] -> [3,3]; [3,2] -> [3,3] }", -1);
934 assert(isl_map_is_equal(map, map2));
935 isl_map_free(map2);
936 isl_map_free(map);
937
938 /* COCOA Theorem 1 counter example */
939 map = isl_map_read_from_str(ctx,
940 "{ [i,j] -> [i2,j2] : i = 0 and 0 <= j and j <= 1 and "
941 "i2 = 1 and j2 = j or "
942 "i = 0 and j = 0 and i2 = 0 and j2 = 1 }", -1);
943 map = isl_map_transitive_closure(map, &exact);
944 assert(exact);
945 isl_map_free(map);
946
947 map = isl_map_read_from_str(ctx,
948 "[m,n] -> { [i,j] -> [i2,j2] : i2 = i and j2 = j + 2 and "
949 "1 <= i,i2 <= n and 1 <= j,j2 <= m or "
950 "i2 = i + 1 and 3 <= j2 - j <= 4 and "
951 "1 <= i,i2 <= n and 1 <= j,j2 <= m }", -1);
952 map = isl_map_transitive_closure(map, &exact);
953 assert(exact);
954 isl_map_free(map);
955
956 /* Kelly et al 1996, fig 12 */
957 map = isl_map_read_from_str(ctx,
958 "[n] -> { [i,j] -> [i2,j2] : i2 = i and j2 = j + 1 and "
959 "1 <= i,j,j+1 <= n or "
960 "j = n and j2 = 1 and i2 = i + 1 and "
961 "1 <= i,i+1 <= n }", -1);
962 map = isl_map_transitive_closure(map, &exact);
963 assert(exact);
964 map2 = isl_map_read_from_str(ctx,
965 "[n] -> { [i,j] -> [i2,j2] : 1 <= j < j2 <= n and "
966 "1 <= i <= n and i = i2 or "
967 "1 <= i < i2 <= n and 1 <= j <= n and "
968 "1 <= j2 <= n }", -1);
969 assert(isl_map_is_equal(map, map2));
970 isl_map_free(map2);
971 isl_map_free(map);
972
973 /* Omega's closure4 */
974 map = isl_map_read_from_str(ctx,
975 "[m,n] -> { [x,y] -> [x2,y2] : x2 = x and y2 = y + 1 and "
976 "1 <= x,y <= 10 or "
977 "x2 = x + 1 and y2 = y and "
978 "1 <= x <= 20 && 5 <= y <= 15 }", -1);
979 map = isl_map_transitive_closure(map, &exact);
980 assert(exact);
981 isl_map_free(map);
982
983 map = isl_map_read_from_str(ctx,
984 "[n] -> { [x] -> [y]: 1 <= n <= y - x <= 10 }", -1);
985 map = isl_map_transitive_closure(map, &exact);
986 assert(!exact);
987 map2 = isl_map_read_from_str(ctx,
988 "[n] -> { [x] -> [y] : 1 <= n <= 10 and y >= n + x }", -1);
989 assert(isl_map_is_equal(map, map2));
990 isl_map_free(map);
991 isl_map_free(map2);
992
993 str = "[n, m] -> { [i0, i1, i2, i3] -> [o0, o1, o2, o3] : "
994 "i3 = 1 and o0 = i0 and o1 = -1 + i1 and o2 = -1 + i2 and "
995 "o3 = -2 + i2 and i1 <= -1 + i0 and i1 >= 1 - m + i0 and "
996 "i1 >= 2 and i1 <= n and i2 >= 3 and i2 <= 1 + n and i2 <= m }";
997 map = isl_map_read_from_str(ctx, str, -1);
998 map = isl_map_transitive_closure(map, &exact);
999 assert(exact);
1000 map2 = isl_map_read_from_str(ctx, str, -1);
1001 assert(isl_map_is_equal(map, map2));
1002 isl_map_free(map);
1003 isl_map_free(map2);
1004
1005 str = "{[0] -> [1]; [2] -> [3]}";
1006 map = isl_map_read_from_str(ctx, str, -1);
1007 map = isl_map_transitive_closure(map, &exact);
1008 assert(exact);
1009 map2 = isl_map_read_from_str(ctx, str, -1);
1010 assert(isl_map_is_equal(map, map2));
1011 isl_map_free(map);
1012 isl_map_free(map2);
1013 }
1014
1015 void test_lexmin(struct isl_ctx *ctx)
1016 {
1017 const char *str;
1018 isl_map *map;
1019
1020 str = "[p0, p1] -> { [] -> [] : "
1021 "exists (e0 = [(2p1)/3], e1, e2, e3 = [(3 - p1 + 3e0)/3], "
1022 "e4 = [(p1)/3], e5 = [(p1 + 3e4)/3]: "
1023 "3e0 >= -2 + 2p1 and 3e0 >= p1 and 3e3 >= 1 - p1 + 3e0 and "
1024 "3e0 <= 2p1 and 3e3 >= -2 + p1 and 3e3 <= -1 + p1 and p1 >= 3 and "
1025 "3e5 >= -2 + 2p1 and 3e5 >= p1 and 3e5 <= -1 + p1 + 3e4 and "
1026 "3e4 <= p1 and 3e4 >= -2 + p1 and e3 <= -1 + e0 and "
1027 "3e4 >= 6 - p1 + 3e1 and 3e1 >= p1 and 3e5 >= -2 + p1 + 3e4 and "
1028 "2e4 >= 3 - p1 + 2e1 and e4 <= e1 and 3e3 <= 2 - p1 + 3e0 and "
1029 "e5 >= 1 + e1 and 3e4 >= 6 - 2p1 + 3e1 and "
1030 "p0 >= 2 and p1 >= p0 and 3e2 >= p1 and 3e4 >= 6 - p1 + 3e2 and "
1031 "e2 <= e1 and e3 >= 1 and e4 <= e2) }";
1032 map = isl_map_read_from_str(ctx, str, -1);
1033 map = isl_map_lexmin(map);
1034 isl_map_free(map);
1035 }
1036
1037 int main()
1038 {
1039 struct isl_ctx *ctx;
1040
1041 srcdir = getenv("srcdir");
1042 assert(srcdir);
1043
1044 ctx = isl_ctx_alloc();
1045 test_read(ctx);
1046 test_construction(ctx);
1047 test_dim(ctx);
1048 test_div(ctx);
1049 test_application(ctx);
1050 test_affine_hull(ctx);
1051 test_convex_hull(ctx);
1052 test_gist(ctx);
1053 test_coalesce(ctx);
1054 test_closure(ctx);
1055 test_lexmin(ctx);
1056 isl_ctx_free(ctx);
1057 return 0;
1058 }
Integer set library