4a61e1a292c2068994a1855112aa4e226be3284a
[platform/upstream/isl.git] / isl_pw_templ.c
1 #define xFN(TYPE,NAME) TYPE ## _ ## NAME
2 #define FN(TYPE,NAME) xFN(TYPE,NAME)
3 #define xS(TYPE,NAME) struct TYPE ## _ ## NAME
4 #define S(TYPE,NAME) xS(TYPE,NAME)
5
6 static __isl_give PW *FN(PW,alloc_)(__isl_take isl_dim *dim, int n)
7 {
8         struct PW *pw;
9
10         if (!dim)
11                 return NULL;
12         isl_assert(dim->ctx, n >= 0, goto error);
13         pw = isl_alloc(dim->ctx, struct PW,
14                         sizeof(struct PW) + (n - 1) * sizeof(S(PW,piece)));
15         if (!pw)
16                 goto error;
17
18         pw->ref = 1;
19         pw->size = n;
20         pw->n = 0;
21         pw->dim = dim;
22         return pw;
23 error:
24         isl_dim_free(dim);
25         return NULL;
26 }
27
28 __isl_give PW *FN(PW,zero)(__isl_take isl_dim *dim)
29 {
30         return FN(PW,alloc_)(dim, 0);
31 }
32
33 __isl_give PW *FN(PW,add_piece)(__isl_take PW *pw,
34         __isl_take isl_set *set, __isl_take EL *el)
35 {
36         if (!pw || !set || !el)
37                 goto error;
38
39         if (isl_set_fast_is_empty(set) || FN(EL,IS_ZERO)(el)) {
40                 isl_set_free(set);
41                 FN(EL,free)(el);
42                 return pw;
43         }
44
45         isl_assert(set->ctx, isl_dim_equal(pw->dim, el->dim), goto error);
46         isl_assert(set->ctx, pw->n < pw->size, goto error);
47
48         pw->p[pw->n].set = set;
49         pw->p[pw->n].FIELD = el;
50         pw->n++;
51         
52         return pw;
53 error:
54         FN(PW,free)(pw);
55         isl_set_free(set);
56         FN(EL,free)(el);
57         return NULL;
58 }
59
60 __isl_give PW *FN(PW,alloc)(__isl_take isl_set *set, __isl_take EL *el)
61 {
62         PW *pw;
63
64         if (!set || !el)
65                 goto error;
66
67         pw = FN(PW,alloc_)(isl_set_get_dim(set), 1);
68
69         return FN(PW,add_piece)(pw, set, el);
70 error:
71         isl_set_free(set);
72         FN(EL,free)(el);
73         return NULL;
74 }
75
76 __isl_give PW *FN(PW,dup)(__isl_keep PW *pw)
77 {
78         int i;
79         PW *dup;
80
81         if (!pw)
82                 return NULL;
83
84         dup = FN(PW,alloc_)(isl_dim_copy(pw->dim), pw->n);
85         if (!dup)
86                 return NULL;
87
88         for (i = 0; i < pw->n; ++i)
89                 dup = FN(PW,add_piece)(dup, isl_set_copy(pw->p[i].set),
90                                             FN(EL,copy)(pw->p[i].FIELD));
91
92         return dup;
93 error:
94         FN(PW,free)(dup);
95         return NULL;
96 }
97
98 __isl_give PW *FN(PW,cow)(__isl_take PW *pw)
99 {
100         if (!pw)
101                 return NULL;
102
103         if (pw->ref == 1)
104                 return pw;
105         pw->ref--;
106         return FN(PW,dup)(pw);
107 }
108
109 __isl_give PW *FN(PW,copy)(__isl_keep PW *pw)
110 {
111         if (!pw)
112                 return NULL;
113
114         pw->ref++;
115         return pw;
116 }
117
118 void FN(PW,free)(__isl_take PW *pw)
119 {
120         int i;
121
122         if (!pw)
123                 return;
124         if (--pw->ref > 0)
125                 return;
126
127         for (i = 0; i < pw->n; ++i) {
128                 isl_set_free(pw->p[i].set);
129                 FN(EL,free)(pw->p[i].FIELD);
130         }
131         isl_dim_free(pw->dim);
132         free(pw);
133 }
134
135 int FN(PW,is_zero)(__isl_keep PW *pw)
136 {
137         if (!pw)
138                 return -1;
139
140         return pw->n == 0;
141 }
142
143 __isl_give PW *FN(PW,add)(__isl_take PW *pw1, __isl_take PW *pw2)
144 {
145         int i, j, n;
146         struct PW *res;
147         isl_set *set;
148
149         if (!pw1 || !pw2)
150                 goto error;
151
152         isl_assert(pw1->dim->ctx, isl_dim_equal(pw1->dim, pw2->dim), goto error);
153
154         if (FN(PW,is_zero)(pw1)) {
155                 FN(PW,free)(pw1);
156                 return pw2;
157         }
158
159         if (FN(PW,is_zero)(pw2)) {
160                 FN(PW,free)(pw2);
161                 return pw1;
162         }
163
164         n = (pw1->n + 1) * (pw2->n + 1);
165         res = FN(PW,alloc_)(isl_dim_copy(pw1->dim), n);
166
167         for (i = 0; i < pw1->n; ++i) {
168                 set = isl_set_copy(pw1->p[i].set);
169                 for (j = 0; j < pw2->n; ++j) {
170                         struct isl_set *common;
171                         EL *sum;
172                         set = isl_set_subtract(set,
173                                         isl_set_copy(pw2->p[j].set));
174                         common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
175                                                 isl_set_copy(pw2->p[j].set));
176                         if (isl_set_fast_is_empty(common)) {
177                                 isl_set_free(common);
178                                 continue;
179                         }
180
181                         sum = ADD(common, FN(EL,copy)(pw1->p[i].FIELD),
182                                           FN(EL,copy)(pw2->p[j].FIELD));
183
184                         res = FN(PW,add_piece)(res, common, sum);
185                 }
186                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw1->p[i].FIELD));
187         }
188
189         for (j = 0; j < pw2->n; ++j) {
190                 set = isl_set_copy(pw2->p[j].set);
191                 for (i = 0; i < pw1->n; ++i)
192                         set = isl_set_subtract(set,
193                                         isl_set_copy(pw1->p[i].set));
194                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw2->p[j].FIELD));
195         }
196
197         FN(PW,free)(pw1);
198         FN(PW,free)(pw2);
199
200         return res;
201 error:
202         FN(PW,free)(pw1);
203         FN(PW,free)(pw2);
204         return NULL;
205 }
206
207 __isl_give PW *FN(PW,add_disjoint)(__isl_take PW *pw1, __isl_take PW *pw2)
208 {
209         int i;
210         PW *res;
211
212         if (!pw1 || !pw2)
213                 goto error;
214
215         isl_assert(pw1->dim->ctx, isl_dim_equal(pw1->dim, pw2->dim), goto error);
216
217         if (FN(PW,is_zero)(pw1)) {
218                 FN(PW,free)(pw1);
219                 return pw2;
220         }
221
222         if (FN(PW,is_zero)(pw2)) {
223                 FN(PW,free)(pw2);
224                 return pw1;
225         }
226
227         res = FN(PW,alloc_)(isl_dim_copy(pw1->dim), pw1->n + pw2->n);
228
229         for (i = 0; i < pw1->n; ++i)
230                 res = FN(PW,add_piece)(res,
231                                 isl_set_copy(pw1->p[i].set),
232                                 FN(EL,copy)(pw1->p[i].FIELD));
233
234         for (i = 0; i < pw2->n; ++i)
235                 res = FN(PW,add_piece)(res,
236                                 isl_set_copy(pw2->p[i].set),
237                                 FN(EL,copy)(pw2->p[i].FIELD));
238
239         FN(PW,free)(pw1);
240         FN(PW,free)(pw2);
241
242         return res;
243 error:
244         FN(PW,free)(pw1);
245         FN(PW,free)(pw2);
246         return NULL;
247 }
248
249 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
250         __isl_take isl_point *pnt)
251 {
252         int i;
253         int found = 0;
254         isl_qpolynomial *qp;
255
256         if (!pw || !pnt)
257                 goto error;
258         isl_assert(pnt->dim->ctx, isl_dim_equal(pnt->dim, pw->dim), goto error);
259
260         for (i = 0; i < pw->n; ++i) {
261                 found = isl_set_contains_point(pw->p[i].set, pnt);
262                 if (found < 0)
263                         goto error;
264                 if (found)
265                         break;
266         }
267         if (found)
268                 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
269                                             isl_point_copy(pnt));
270         else
271                 qp = isl_qpolynomial_zero(isl_dim_copy(pw->dim));
272         FN(PW,free)(pw);
273         isl_point_free(pnt);
274         return qp;
275 error:
276         FN(PW,free)(pw);
277         isl_point_free(pnt);
278         return NULL;
279 }
280
281 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
282 {
283         int i;
284         isl_set *dom;
285
286         if (!pw)
287                 return NULL;
288
289         dom = isl_set_empty(isl_dim_copy(pw->dim));
290         for (i = 0; i < pw->n; ++i)
291                 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
292
293         FN(PW,free)(pw);
294
295         return dom;
296 }
297
298 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw, __isl_take isl_set *set)
299 {
300         int i;
301
302         if (!pw || !set)
303                 goto error;
304
305         if (pw->n == 0) {
306                 isl_set_free(set);
307                 return pw;
308         }
309
310         pw = FN(PW,cow)(pw);
311         if (!pw)
312                 goto error;
313
314         for (i = pw->n - 1; i >= 0; --i) {
315                 pw->p[i].set = isl_set_intersect(pw->p[i].set, isl_set_copy(set));
316                 if (!pw->p[i].set)
317                         goto error;
318                 if (isl_set_fast_is_empty(pw->p[i].set)) {
319                         isl_set_free(pw->p[i].set);
320                         FN(EL,free)(pw->p[i].FIELD);
321                         if (i != pw->n - 1)
322                                 pw->p[i] = pw->p[pw->n - 1];
323                         pw->n--;
324                 }
325         }
326         
327         isl_set_free(set);
328         return pw;
329 error:
330         isl_set_free(set);
331         FN(PW,free)(pw);
332         return NULL;
333 }
334
335 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
336 {
337         int i;
338         isl_basic_set *hull = NULL;
339
340         if (!pw || !context)
341                 goto error;
342
343         if (pw->n == 0) {
344                 isl_set_free(context);
345                 return pw;
346         }
347
348         hull = isl_set_simple_hull(isl_set_copy(context));
349
350         pw = FN(PW,cow)(pw);
351         if (!pw)
352                 goto error;
353
354         for (i = 0; i < pw->n; ++i) {
355                 pw->p[i].set = isl_set_gist_basic_set(pw->p[i].set,
356                                                 isl_basic_set_copy(hull));
357                 if (!pw->p[i].set)
358                         goto error;
359         }
360
361         isl_basic_set_free(hull);
362         isl_set_free(context);
363
364         return pw;
365 error:
366         FN(PW,free)(pw);
367         isl_basic_set_free(hull);
368         isl_set_free(context);
369         return NULL;
370 }
371
372 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
373 {
374         int i, j;
375
376         if (!pw)
377                 return NULL;
378         if (pw->n == 0)
379                 return pw;
380
381         for (i = pw->n - 1; i >= 0; --i) {
382                 for (j = i - 1; j >= 0; --j) {
383                         if (!FN(EL,is_equal)(pw->p[i].FIELD, pw->p[j].FIELD))
384                                 continue;
385                         pw->p[j].set = isl_set_union(pw->p[j].set,
386                                                         pw->p[i].set);
387                         FN(EL,free)(pw->p[i].FIELD);
388                         if (i != pw->n - 1)
389                                 pw->p[i] = pw->p[pw->n - 1];
390                         pw->n--;
391                         break;
392                 }
393                 if (j >= 0)
394                         continue;
395                 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
396                 if (!pw->p[i].set)
397                         goto error;
398         }
399
400         return pw;
401 error:
402         FN(PW,free)(pw);
403         return NULL;
404 }
405
406 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
407 {
408         return pw ? pw->dim->ctx : NULL;
409 }
410
411 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
412         unsigned first, unsigned n)
413 {
414         int i;
415
416         if (!pw)
417                 return -1;
418         if (pw->n == 0 || n == 0)
419                 return 0;
420         for (i = 0; i < pw->n; ++i) {
421                 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
422                                                         type, first, n);
423                 if (involves < 0 || involves)
424                         return involves;
425         }
426         return 0;
427 }
428
429 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
430         enum isl_dim_type type, unsigned first, unsigned n)
431 {
432         int i;
433
434         if (!pw)
435                 return NULL;
436         if (n == 0 && !isl_dim_get_tuple_name(pw->dim, type))
437                 return pw;
438
439         pw = FN(PW,cow)(pw);
440         if (!pw)
441                 return NULL;
442         pw->dim = isl_dim_drop(pw->dim, type, first, n);
443         if (!pw->dim)
444                 goto error;
445         for (i = 0; i < pw->n; ++i) {
446                 pw->p[i].set = isl_set_drop(pw->p[i].set, type, first, n);
447                 if (!pw->p[i].set)
448                         goto error;
449                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
450                 if (!pw->p[i].FIELD)
451                         goto error;
452         }
453
454         return pw;
455 error:
456         FN(PW,free)(pw);
457         return NULL;
458 }
459
460 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
461         enum isl_dim_type type, unsigned pos, isl_int v)
462 {
463         int i;
464
465         if (!pw)
466                 return NULL;
467
468         pw = FN(PW,cow)(pw);
469         if (!pw)
470                 return NULL;
471         for (i = 0; i < pw->n; ++i) {
472                 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
473                 if (!pw->p[i].set)
474                         goto error;
475         }
476
477         return pw;
478 error:
479         FN(PW,free)(pw);
480         return NULL;
481 }
482
483 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
484 {
485         return pw ? isl_dim_size(pw->dim, type) : 0;
486 }
487
488 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
489         enum isl_dim_type type, unsigned first, unsigned n)
490 {
491         int i;
492
493         if (!pw)
494                 return NULL;
495         if (n == 0)
496                 return pw;
497
498         pw = FN(PW,cow)(pw);
499         if (!pw)
500                 return NULL;
501         if (!pw->dim)
502                 goto error;
503         for (i = 0; i < pw->n; ++i) {
504                 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
505                 if (!pw->p[i].set)
506                         goto error;
507         }
508
509         return pw;
510 error:
511         FN(PW,free)(pw);
512         return NULL;
513 }
514
515 /* Compute the maximal value attained by the piecewise quasipolynomial
516  * on its domain or zero if the domain is empty.
517  * In the worst case, the domain is scanned completely,
518  * so the domain is assumed to be bounded.
519  */
520 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
521 {
522         int i;
523         isl_qpolynomial *opt;
524
525         if (!pw)
526                 return NULL;
527
528         if (pw->n == 0) {
529                 isl_dim *dim = isl_dim_copy(pw->dim);
530                 FN(PW,free)(pw);
531                 return isl_qpolynomial_zero(dim);
532         }
533
534         opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
535                                         isl_set_copy(pw->p[0].set), max);
536         for (i = 1; i < pw->n; ++i) {
537                 isl_qpolynomial *opt_i;
538                 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
539                                                 isl_set_copy(pw->p[i].set), max);
540                 if (max)
541                         opt = isl_qpolynomial_max_cst(opt, opt_i);
542                 else
543                         opt = isl_qpolynomial_min_cst(opt, opt_i);
544         }
545
546         FN(PW,free)(pw);
547         return opt;
548 }
549
550 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
551 {
552         return FN(PW,opt)(pw, 1);
553 }
554
555 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
556 {
557         return FN(PW,opt)(pw, 0);
558 }
559
560 __isl_give isl_dim *FN(PW,get_dim)(__isl_keep PW *pw)
561 {
562         return pw ? isl_dim_copy(pw->dim) : NULL;
563 }
564
565 __isl_give PW *FN(PW,reset_dim)(__isl_take PW *pw, __isl_take isl_dim *dim)
566 {
567         int i;
568
569         pw = FN(PW,cow)(pw);
570         if (!pw || !dim)
571                 goto error;
572
573         for (i = 0; i < pw->n; ++i) {
574                 pw->p[i].set = isl_set_reset_dim(pw->p[i].set,
575                                                  isl_dim_copy(dim));
576                 if (!pw->p[i].set)
577                         goto error;
578                 pw->p[i].FIELD = FN(EL,reset_dim)(pw->p[i].FIELD,
579                                                   isl_dim_copy(dim));
580                 if (!pw->p[i].FIELD)
581                         goto error;
582         }
583         isl_dim_free(pw->dim);
584         pw->dim = dim;
585
586         return pw;
587 error:
588         isl_dim_free(dim);
589         FN(PW,free)(pw);
590         return NULL;
591 }
592
593 int FN(PW,has_equal_dim)(__isl_keep PW *pw1, __isl_keep PW *pw2)
594 {
595         if (!pw1 || !pw2)
596                 return -1;
597
598         return isl_dim_equal(pw1->dim, pw2->dim);
599 }
600
601 __isl_give PW *FN(PW,morph)(__isl_take PW *pw, __isl_take isl_morph *morph)
602 {
603         int i;
604
605         if (!pw || !morph)
606                 goto error;
607
608         isl_assert(pw->dim->ctx, isl_dim_equal(pw->dim, morph->dom->dim),
609                 goto error);
610
611         pw = FN(PW,cow)(pw);
612         if (!pw)
613                 goto error;
614         isl_dim_free(pw->dim);
615         pw->dim = isl_dim_copy(morph->ran->dim);
616         if (!pw->dim)
617                 goto error;
618
619         for (i = 0; i < pw->n; ++i) {
620                 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
621                 if (!pw->p[i].set)
622                         goto error;
623                 pw->p[i].FIELD = FN(EL,morph)(pw->p[i].FIELD,
624                                                 isl_morph_copy(morph));
625                 if (!pw->p[i].FIELD)
626                         goto error;
627         }
628
629         isl_morph_free(morph);
630
631         return pw;
632 error:
633         FN(PW,free)(pw);
634         isl_morph_free(morph);
635         return NULL;
636 }
637
638 int FN(PW,foreach_piece)(__isl_keep PW *pw,
639         int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
640         void *user)
641 {
642         int i;
643
644         if (!pw)
645                 return -1;
646
647         for (i = 0; i < pw->n; ++i)
648                 if (fn(isl_set_copy(pw->p[i].set),
649                                 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
650                         return -1;
651
652         return 0;
653 }
654
655 static int any_divs(__isl_keep isl_set *set)
656 {
657         int i;
658
659         if (!set)
660                 return -1;
661
662         for (i = 0; i < set->n; ++i)
663                 if (set->p[i]->n_div > 0)
664                         return 1;
665
666         return 0;
667 }
668
669 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
670         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
671                     void *user), void *user)
672 {
673         int i;
674
675         if (!set || !el)
676                 goto error;
677
678         for (i = 0; i < set->n; ++i) {
679                 isl_set *lift;
680                 EL *copy;
681
682                 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
683                 lift = isl_set_lift(lift);
684
685                 copy = FN(EL,copy)(el);
686                 copy = FN(EL,lift)(copy, isl_set_get_dim(lift));
687
688                 if (fn(lift, copy, user) < 0)
689                         goto error;
690         }
691
692         isl_set_free(set);
693         FN(EL,free)(el);
694
695         return 0;
696 error:
697         isl_set_free(set);
698         FN(EL,free)(el);
699         return -1;
700 }
701
702 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
703         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
704                     void *user), void *user)
705 {
706         int i;
707
708         if (!pw)
709                 return -1;
710
711         for (i = 0; i < pw->n; ++i) {
712                 isl_set *set;
713                 EL *el;
714
715                 set = isl_set_copy(pw->p[i].set);
716                 el = FN(EL,copy)(pw->p[i].FIELD);
717                 if (!any_divs(set)) {
718                         if (fn(set, el, user) < 0)
719                                 return -1;
720                         continue;
721                 }
722                 if (foreach_lifted_subset(set, el, fn, user) < 0)
723                         return -1;
724         }
725
726         return 0;
727 }
728
729 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
730         enum isl_dim_type dst_type, unsigned dst_pos,
731         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
732 {
733         int i;
734
735         pw = FN(PW,cow)(pw);
736         if (!pw)
737                 return NULL;
738
739         pw->dim = isl_dim_move(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
740         if (!pw->dim)
741                 goto error;
742
743         for (i = 0; i < pw->n; ++i) {
744                 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
745                                                 dst_type, dst_pos,
746                                                 src_type, src_pos, n);
747                 if (!pw->p[i].set)
748                         goto error;
749                 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
750                                         dst_type, dst_pos, src_type, src_pos, n);
751                 if (!pw->p[i].FIELD)
752                         goto error;
753         }
754
755         return pw;
756 error:
757         FN(PW,free)(pw);
758         return NULL;
759 }