b80e084f9bd1fe587f58c1dfac9d662d4d26988e
[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 #ifdef HAS_TYPE
7 __isl_give PW *FN(PW,alloc_size)(__isl_take isl_space *dim,
8         enum isl_fold type, int n)
9 #else
10 __isl_give PW *FN(PW,alloc_size)(__isl_take isl_space *dim, int n)
11 #endif
12 {
13         isl_ctx *ctx;
14         struct PW *pw;
15
16         if (!dim)
17                 return NULL;
18         ctx = isl_space_get_ctx(dim);
19         isl_assert(ctx, n >= 0, goto error);
20         pw = isl_alloc(ctx, struct PW,
21                         sizeof(struct PW) + (n - 1) * sizeof(S(PW,piece)));
22         if (!pw)
23                 goto error;
24
25         pw->ref = 1;
26 #ifdef HAS_TYPE
27         pw->type = type;
28 #endif
29         pw->size = n;
30         pw->n = 0;
31         pw->dim = dim;
32         return pw;
33 error:
34         isl_space_free(dim);
35         return NULL;
36 }
37
38 #ifdef HAS_TYPE
39 __isl_give PW *FN(PW,ZERO)(__isl_take isl_space *dim, enum isl_fold type)
40 {
41         return FN(PW,alloc_size)(dim, type, 0);
42 }
43 #else
44 __isl_give PW *FN(PW,ZERO)(__isl_take isl_space *dim)
45 {
46         return FN(PW,alloc_size)(dim, 0);
47 }
48 #endif
49
50 __isl_give PW *FN(PW,add_piece)(__isl_take PW *pw,
51         __isl_take isl_set *set, __isl_take EL *el)
52 {
53         isl_ctx *ctx;
54         isl_space *el_dim = NULL;
55
56         if (!pw || !set || !el)
57                 goto error;
58
59         if (isl_set_plain_is_empty(set) || FN(EL,EL_IS_ZERO)(el)) {
60                 isl_set_free(set);
61                 FN(EL,free)(el);
62                 return pw;
63         }
64
65         ctx = isl_set_get_ctx(set);
66 #ifdef HAS_TYPE
67         if (pw->type != el->type)
68                 isl_die(ctx, isl_error_invalid, "fold types don't match",
69                         goto error);
70 #endif
71         el_dim = FN(EL,get_space(el));
72         isl_assert(ctx, isl_space_is_equal(pw->dim, el_dim), goto error);
73         isl_assert(ctx, pw->n < pw->size, goto error);
74
75         pw->p[pw->n].set = set;
76         pw->p[pw->n].FIELD = el;
77         pw->n++;
78         
79         isl_space_free(el_dim);
80         return pw;
81 error:
82         isl_space_free(el_dim);
83         FN(PW,free)(pw);
84         isl_set_free(set);
85         FN(EL,free)(el);
86         return NULL;
87 }
88
89 #ifdef HAS_TYPE
90 __isl_give PW *FN(PW,alloc)(enum isl_fold type,
91         __isl_take isl_set *set, __isl_take EL *el)
92 #else
93 __isl_give PW *FN(PW,alloc)(__isl_take isl_set *set, __isl_take EL *el)
94 #endif
95 {
96         PW *pw;
97
98         if (!set || !el)
99                 goto error;
100
101 #ifdef HAS_TYPE
102         pw = FN(PW,alloc_size)(FN(EL,get_space)(el), type, 1);
103 #else
104         pw = FN(PW,alloc_size)(FN(EL,get_space)(el), 1);
105 #endif
106
107         return FN(PW,add_piece)(pw, set, el);
108 error:
109         isl_set_free(set);
110         FN(EL,free)(el);
111         return NULL;
112 }
113
114 __isl_give PW *FN(PW,dup)(__isl_keep PW *pw)
115 {
116         int i;
117         PW *dup;
118
119         if (!pw)
120                 return NULL;
121
122 #ifdef HAS_TYPE
123         dup = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->type, pw->n);
124 #else
125         dup = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->n);
126 #endif
127         if (!dup)
128                 return NULL;
129
130         for (i = 0; i < pw->n; ++i)
131                 dup = FN(PW,add_piece)(dup, isl_set_copy(pw->p[i].set),
132                                             FN(EL,copy)(pw->p[i].FIELD));
133
134         return dup;
135 }
136
137 __isl_give PW *FN(PW,cow)(__isl_take PW *pw)
138 {
139         if (!pw)
140                 return NULL;
141
142         if (pw->ref == 1)
143                 return pw;
144         pw->ref--;
145         return FN(PW,dup)(pw);
146 }
147
148 __isl_give PW *FN(PW,copy)(__isl_keep PW *pw)
149 {
150         if (!pw)
151                 return NULL;
152
153         pw->ref++;
154         return pw;
155 }
156
157 void *FN(PW,free)(__isl_take PW *pw)
158 {
159         int i;
160
161         if (!pw)
162                 return NULL;
163         if (--pw->ref > 0)
164                 return NULL;
165
166         for (i = 0; i < pw->n; ++i) {
167                 isl_set_free(pw->p[i].set);
168                 FN(EL,free)(pw->p[i].FIELD);
169         }
170         isl_space_free(pw->dim);
171         free(pw);
172
173         return NULL;
174 }
175
176 const char *FN(PW,get_dim_name)(__isl_keep PW *pw, enum isl_dim_type type,
177         unsigned pos)
178 {
179         return pw ? isl_space_get_dim_name(pw->dim, type, pos) : NULL;
180 }
181
182 int FN(PW,has_dim_id)(__isl_keep PW *pw, enum isl_dim_type type, unsigned pos)
183 {
184         return pw ? isl_space_has_dim_id(pw->dim, type, pos) : -1;
185 }
186
187 __isl_give isl_id *FN(PW,get_dim_id)(__isl_keep PW *pw, enum isl_dim_type type,
188         unsigned pos)
189 {
190         return pw ? isl_space_get_dim_id(pw->dim, type, pos) : NULL;
191 }
192
193 int FN(PW,has_tuple_name)(__isl_keep PW *pw, enum isl_dim_type type)
194 {
195         return pw ? isl_space_has_tuple_name(pw->dim, type) : -1;
196 }
197
198 const char *FN(PW,get_tuple_name)(__isl_keep PW *pw, enum isl_dim_type type)
199 {
200         return pw ? isl_space_get_tuple_name(pw->dim, type) : NULL;
201 }
202
203 int FN(PW,has_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
204 {
205         return pw ? isl_space_has_tuple_id(pw->dim, type) : -1;
206 }
207
208 __isl_give isl_id *FN(PW,get_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type)
209 {
210         return pw ? isl_space_get_tuple_id(pw->dim, type) : NULL;
211 }
212
213 int FN(PW,IS_ZERO)(__isl_keep PW *pw)
214 {
215         if (!pw)
216                 return -1;
217
218         return pw->n == 0;
219 }
220
221 #ifndef NO_REALIGN
222 __isl_give PW *FN(PW,realign_domain)(__isl_take PW *pw,
223         __isl_take isl_reordering *exp)
224 {
225         int i;
226
227         pw = FN(PW,cow)(pw);
228         if (!pw || !exp)
229                 goto error;
230
231         for (i = 0; i < pw->n; ++i) {
232                 pw->p[i].set = isl_set_realign(pw->p[i].set,
233                                                     isl_reordering_copy(exp));
234                 if (!pw->p[i].set)
235                         goto error;
236                 pw->p[i].FIELD = FN(EL,realign_domain)(pw->p[i].FIELD,
237                                                     isl_reordering_copy(exp));
238                 if (!pw->p[i].FIELD)
239                         goto error;
240         }
241
242         pw = FN(PW,reset_domain_space)(pw, isl_space_copy(exp->dim));
243
244         isl_reordering_free(exp);
245         return pw;
246 error:
247         isl_reordering_free(exp);
248         FN(PW,free)(pw);
249         return NULL;
250 }
251
252 /* Align the parameters of "pw" to those of "model".
253  */
254 __isl_give PW *FN(PW,align_params)(__isl_take PW *pw, __isl_take isl_space *model)
255 {
256         isl_ctx *ctx;
257
258         if (!pw || !model)
259                 goto error;
260
261         ctx = isl_space_get_ctx(model);
262         if (!isl_space_has_named_params(model))
263                 isl_die(ctx, isl_error_invalid,
264                         "model has unnamed parameters", goto error);
265         if (!isl_space_has_named_params(pw->dim))
266                 isl_die(ctx, isl_error_invalid,
267                         "input has unnamed parameters", goto error);
268         if (!isl_space_match(pw->dim, isl_dim_param, model, isl_dim_param)) {
269                 isl_reordering *exp;
270
271                 model = isl_space_drop_dims(model, isl_dim_in,
272                                         0, isl_space_dim(model, isl_dim_in));
273                 model = isl_space_drop_dims(model, isl_dim_out,
274                                         0, isl_space_dim(model, isl_dim_out));
275                 exp = isl_parameter_alignment_reordering(pw->dim, model);
276                 exp = isl_reordering_extend_space(exp,
277                                         FN(PW,get_domain_space)(pw));
278                 pw = FN(PW,realign_domain)(pw, exp);
279         }
280
281         isl_space_free(model);
282         return pw;
283 error:
284         isl_space_free(model);
285         FN(PW,free)(pw);
286         return NULL;
287 }
288
289 static __isl_give PW *FN(PW,align_params_pw_pw_and)(__isl_take PW *pw1,
290         __isl_take PW *pw2,
291         __isl_give PW *(*fn)(__isl_take PW *pw1, __isl_take PW *pw2))
292 {
293         isl_ctx *ctx;
294
295         if (!pw1 || !pw2)
296                 goto error;
297         if (isl_space_match(pw1->dim, isl_dim_param, pw2->dim, isl_dim_param))
298                 return fn(pw1, pw2);
299         ctx = FN(PW,get_ctx)(pw1);
300         if (!isl_space_has_named_params(pw1->dim) ||
301             !isl_space_has_named_params(pw2->dim))
302                 isl_die(ctx, isl_error_invalid,
303                         "unaligned unnamed parameters", goto error);
304         pw1 = FN(PW,align_params)(pw1, FN(PW,get_space)(pw2));
305         pw2 = FN(PW,align_params)(pw2, FN(PW,get_space)(pw1));
306         return fn(pw1, pw2);
307 error:
308         FN(PW,free)(pw1);
309         FN(PW,free)(pw2);
310         return NULL;
311 }
312
313 static __isl_give PW *FN(PW,align_params_pw_set_and)(__isl_take PW *pw,
314         __isl_take isl_set *set,
315         __isl_give PW *(*fn)(__isl_take PW *pw, __isl_take isl_set *set))
316 {
317         isl_ctx *ctx;
318
319         if (!pw || !set)
320                 goto error;
321         if (isl_space_match(pw->dim, isl_dim_param, set->dim, isl_dim_param))
322                 return fn(pw, set);
323         ctx = FN(PW,get_ctx)(pw);
324         if (!isl_space_has_named_params(pw->dim) ||
325             !isl_space_has_named_params(set->dim))
326                 isl_die(ctx, isl_error_invalid,
327                         "unaligned unnamed parameters", goto error);
328         pw = FN(PW,align_params)(pw, isl_set_get_space(set));
329         set = isl_set_align_params(set, FN(PW,get_space)(pw));
330         return fn(pw, set);
331 error:
332         FN(PW,free)(pw);
333         isl_set_free(set);
334         return NULL;
335 }
336 #endif
337
338 static __isl_give PW *FN(PW,union_add_aligned)(__isl_take PW *pw1,
339         __isl_take PW *pw2)
340 {
341         int i, j, n;
342         struct PW *res;
343         isl_ctx *ctx;
344         isl_set *set;
345
346         if (!pw1 || !pw2)
347                 goto error;
348
349         ctx = isl_space_get_ctx(pw1->dim);
350 #ifdef HAS_TYPE
351         if (pw1->type != pw2->type)
352                 isl_die(ctx, isl_error_invalid,
353                         "fold types don't match", goto error);
354 #endif
355         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
356
357         if (FN(PW,IS_ZERO)(pw1)) {
358                 FN(PW,free)(pw1);
359                 return pw2;
360         }
361
362         if (FN(PW,IS_ZERO)(pw2)) {
363                 FN(PW,free)(pw2);
364                 return pw1;
365         }
366
367         n = (pw1->n + 1) * (pw2->n + 1);
368 #ifdef HAS_TYPE
369         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), pw1->type, n);
370 #else
371         res = FN(PW,alloc_size)(isl_space_copy(pw1->dim), n);
372 #endif
373
374         for (i = 0; i < pw1->n; ++i) {
375                 set = isl_set_copy(pw1->p[i].set);
376                 for (j = 0; j < pw2->n; ++j) {
377                         struct isl_set *common;
378                         EL *sum;
379                         common = isl_set_intersect(isl_set_copy(pw1->p[i].set),
380                                                 isl_set_copy(pw2->p[j].set));
381                         if (isl_set_plain_is_empty(common)) {
382                                 isl_set_free(common);
383                                 continue;
384                         }
385                         set = isl_set_subtract(set,
386                                         isl_set_copy(pw2->p[j].set));
387
388                         sum = FN(EL,add_on_domain)(common,
389                                                    FN(EL,copy)(pw1->p[i].FIELD),
390                                                    FN(EL,copy)(pw2->p[j].FIELD));
391
392                         res = FN(PW,add_piece)(res, common, sum);
393                 }
394                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw1->p[i].FIELD));
395         }
396
397         for (j = 0; j < pw2->n; ++j) {
398                 set = isl_set_copy(pw2->p[j].set);
399                 for (i = 0; i < pw1->n; ++i)
400                         set = isl_set_subtract(set,
401                                         isl_set_copy(pw1->p[i].set));
402                 res = FN(PW,add_piece)(res, set, FN(EL,copy)(pw2->p[j].FIELD));
403         }
404
405         FN(PW,free)(pw1);
406         FN(PW,free)(pw2);
407
408         return res;
409 error:
410         FN(PW,free)(pw1);
411         FN(PW,free)(pw2);
412         return NULL;
413 }
414
415 /* Private version of "union_add".  For isl_pw_qpolynomial and
416  * isl_pw_qpolynomial_fold, we prefer to simply call it "add".
417  */
418 static __isl_give PW *FN(PW,union_add_)(__isl_take PW *pw1, __isl_take PW *pw2)
419 {
420         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
421                                                 &FN(PW,union_add_aligned));
422 }
423
424 /* Make sure "pw" has room for at least "n" more pieces.
425  *
426  * If there is only one reference to pw, we extend it in place.
427  * Otherwise, we create a new PW and copy the pieces.
428  */
429 static __isl_give PW *FN(PW,grow)(__isl_take PW *pw, int n)
430 {
431         int i;
432         isl_ctx *ctx;
433         PW *res;
434
435         if (!pw)
436                 return NULL;
437         if (pw->n + n <= pw->size)
438                 return pw;
439         ctx = FN(PW,get_ctx)(pw);
440         n += pw->n;
441         if (pw->ref == 1) {
442                 res = isl_realloc(ctx, pw, struct PW,
443                             sizeof(struct PW) + (n - 1) * sizeof(S(PW,piece)));
444                 if (!res)
445                         return FN(PW,free)(pw);
446                 res->size = n;
447                 return res;
448         }
449 #ifdef HAS_TYPE
450         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), pw->type, n);
451 #else
452         res = FN(PW,alloc_size)(isl_space_copy(pw->dim), n);
453 #endif
454         if (!res)
455                 return FN(PW,free)(pw);
456         for (i = 0; i < pw->n; ++i)
457                 res = FN(PW,add_piece)(res, isl_set_copy(pw->p[i].set),
458                                             FN(EL,copy)(pw->p[i].FIELD));
459         FN(PW,free)(pw);
460         return res;
461 }
462
463 static __isl_give PW *FN(PW,add_disjoint_aligned)(__isl_take PW *pw1,
464         __isl_take PW *pw2)
465 {
466         int i;
467         isl_ctx *ctx;
468
469         if (!pw1 || !pw2)
470                 goto error;
471
472         if (pw1->size < pw1->n + pw2->n && pw1->n < pw2->n)
473                 return FN(PW,add_disjoint_aligned)(pw2, pw1);
474
475         ctx = isl_space_get_ctx(pw1->dim);
476 #ifdef HAS_TYPE
477         if (pw1->type != pw2->type)
478                 isl_die(ctx, isl_error_invalid,
479                         "fold types don't match", goto error);
480 #endif
481         isl_assert(ctx, isl_space_is_equal(pw1->dim, pw2->dim), goto error);
482
483         if (FN(PW,IS_ZERO)(pw1)) {
484                 FN(PW,free)(pw1);
485                 return pw2;
486         }
487
488         if (FN(PW,IS_ZERO)(pw2)) {
489                 FN(PW,free)(pw2);
490                 return pw1;
491         }
492
493         pw1 = FN(PW,grow)(pw1, pw2->n);
494         if (!pw1)
495                 goto error;
496
497         for (i = 0; i < pw2->n; ++i)
498                 pw1 = FN(PW,add_piece)(pw1,
499                                 isl_set_copy(pw2->p[i].set),
500                                 FN(EL,copy)(pw2->p[i].FIELD));
501
502         FN(PW,free)(pw2);
503
504         return pw1;
505 error:
506         FN(PW,free)(pw1);
507         FN(PW,free)(pw2);
508         return NULL;
509 }
510
511 __isl_give PW *FN(PW,add_disjoint)(__isl_take PW *pw1, __isl_take PW *pw2)
512 {
513         return FN(PW,align_params_pw_pw_and)(pw1, pw2,
514                                                 &FN(PW,add_disjoint_aligned));
515 }
516
517 /* This function is currently only used from isl_aff.c
518  */
519 static __isl_give PW *FN(PW,on_shared_domain_in)(__isl_take PW *pw1,
520         __isl_take PW *pw2, __isl_take isl_space *space,
521         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
522         __attribute__ ((unused));
523
524 /* Apply "fn" to pairs of elements from pw1 and pw2 on shared domains.
525  * The result of "fn" (and therefore also of this function) lives in "space".
526  */
527 static __isl_give PW *FN(PW,on_shared_domain_in)(__isl_take PW *pw1,
528         __isl_take PW *pw2, __isl_take isl_space *space,
529         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
530 {
531         int i, j, n;
532         PW *res = NULL;
533
534         if (!pw1 || !pw2)
535                 goto error;
536
537         n = pw1->n * pw2->n;
538 #ifdef HAS_TYPE
539         res = FN(PW,alloc_size)(space, pw1->type, n);
540 #else
541         res = FN(PW,alloc_size)(space, n);
542 #endif
543
544         for (i = 0; i < pw1->n; ++i) {
545                 for (j = 0; j < pw2->n; ++j) {
546                         isl_set *common;
547                         EL *res_ij;
548                         int empty;
549
550                         common = isl_set_intersect(
551                                         isl_set_copy(pw1->p[i].set),
552                                         isl_set_copy(pw2->p[j].set));
553                         empty = isl_set_plain_is_empty(common);
554                         if (empty < 0 || empty) {
555                                 isl_set_free(common);
556                                 if (empty < 0)
557                                         goto error;
558                                 continue;
559                         }
560
561                         res_ij = fn(FN(EL,copy)(pw1->p[i].FIELD),
562                                     FN(EL,copy)(pw2->p[j].FIELD));
563                         res_ij = FN(EL,gist)(res_ij, isl_set_copy(common));
564
565                         res = FN(PW,add_piece)(res, common, res_ij);
566                 }
567         }
568
569         FN(PW,free)(pw1);
570         FN(PW,free)(pw2);
571         return res;
572 error:
573         isl_space_free(space);
574         FN(PW,free)(pw1);
575         FN(PW,free)(pw2);
576         FN(PW,free)(res);
577         return NULL;
578 }
579
580 /* This function is currently only used from isl_aff.c
581  */
582 static __isl_give PW *FN(PW,on_shared_domain)(__isl_take PW *pw1,
583         __isl_take PW *pw2,
584         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
585         __attribute__ ((unused));
586
587 /* Apply "fn" to pairs of elements from pw1 and pw2 on shared domains.
588  * The result of "fn" is assumed to live in the same space as "pw1" and "pw2".
589  */
590 static __isl_give PW *FN(PW,on_shared_domain)(__isl_take PW *pw1,
591         __isl_take PW *pw2,
592         __isl_give EL *(*fn)(__isl_take EL *el1, __isl_take EL *el2))
593 {
594         isl_space *space;
595
596         if (!pw1 || !pw2)
597                 goto error;
598
599         space = isl_space_copy(pw1->dim);
600         return FN(PW,on_shared_domain_in)(pw1, pw2, space, fn);
601 error:
602         FN(PW,free)(pw1);
603         FN(PW,free)(pw2);
604         return NULL;
605 }
606
607 #ifndef NO_NEG
608 __isl_give PW *FN(PW,neg)(__isl_take PW *pw)
609 {
610         int i;
611
612         if (!pw)
613                 return NULL;
614
615         if (FN(PW,IS_ZERO)(pw))
616                 return pw;
617
618         pw = FN(PW,cow)(pw);
619         if (!pw)
620                 return NULL;
621
622         for (i = 0; i < pw->n; ++i) {
623                 pw->p[i].FIELD = FN(EL,neg)(pw->p[i].FIELD);
624                 if (!pw->p[i].FIELD)
625                         return FN(PW,free)(pw);
626         }
627
628         return pw;
629 }
630
631 __isl_give PW *FN(PW,sub)(__isl_take PW *pw1, __isl_take PW *pw2)
632 {
633         return FN(PW,add)(pw1, FN(PW,neg)(pw2));
634 }
635 #endif
636
637 #ifndef NO_EVAL
638 __isl_give isl_qpolynomial *FN(PW,eval)(__isl_take PW *pw,
639         __isl_take isl_point *pnt)
640 {
641         int i;
642         int found = 0;
643         isl_ctx *ctx;
644         isl_space *pnt_dim = NULL;
645         isl_qpolynomial *qp;
646
647         if (!pw || !pnt)
648                 goto error;
649         ctx = isl_point_get_ctx(pnt);
650         pnt_dim = isl_point_get_space(pnt);
651         isl_assert(ctx, isl_space_is_domain_internal(pnt_dim, pw->dim),
652                     goto error);
653
654         for (i = 0; i < pw->n; ++i) {
655                 found = isl_set_contains_point(pw->p[i].set, pnt);
656                 if (found < 0)
657                         goto error;
658                 if (found)
659                         break;
660         }
661         if (found)
662                 qp = FN(EL,eval)(FN(EL,copy)(pw->p[i].FIELD),
663                                             isl_point_copy(pnt));
664         else
665                 qp = isl_qpolynomial_zero_on_domain(FN(PW,get_domain_space)(pw));
666         FN(PW,free)(pw);
667         isl_space_free(pnt_dim);
668         isl_point_free(pnt);
669         return qp;
670 error:
671         FN(PW,free)(pw);
672         isl_space_free(pnt_dim);
673         isl_point_free(pnt);
674         return NULL;
675 }
676 #endif
677
678 __isl_give isl_set *FN(PW,domain)(__isl_take PW *pw)
679 {
680         int i;
681         isl_set *dom;
682
683         if (!pw)
684                 return NULL;
685
686         dom = isl_set_empty(FN(PW,get_domain_space)(pw));
687         for (i = 0; i < pw->n; ++i)
688                 dom = isl_set_union_disjoint(dom, isl_set_copy(pw->p[i].set));
689
690         FN(PW,free)(pw);
691
692         return dom;
693 }
694
695 /* Restrict the domain of "pw" by combining each cell
696  * with "set" through a call to "fn", where "fn" may be
697  * isl_set_intersect or isl_set_intersect_params.
698  */
699 static __isl_give PW *FN(PW,intersect_aligned)(__isl_take PW *pw,
700         __isl_take isl_set *set,
701         __isl_give isl_set *(*fn)(__isl_take isl_set *set1,
702                                     __isl_take isl_set *set2))
703 {
704         int i;
705
706         if (!pw || !set)
707                 goto error;
708
709         if (pw->n == 0) {
710                 isl_set_free(set);
711                 return pw;
712         }
713
714         pw = FN(PW,cow)(pw);
715         if (!pw)
716                 goto error;
717
718         for (i = pw->n - 1; i >= 0; --i) {
719                 isl_basic_set *aff;
720                 pw->p[i].set = fn(pw->p[i].set, isl_set_copy(set));
721                 if (!pw->p[i].set)
722                         goto error;
723                 aff = isl_set_affine_hull(isl_set_copy(pw->p[i].set));
724                 pw->p[i].FIELD = FN(EL,substitute_equalities)(pw->p[i].FIELD,
725                                                                 aff);
726                 if (!pw->p[i].FIELD)
727                         goto error;
728                 if (isl_set_plain_is_empty(pw->p[i].set)) {
729                         isl_set_free(pw->p[i].set);
730                         FN(EL,free)(pw->p[i].FIELD);
731                         if (i != pw->n - 1)
732                                 pw->p[i] = pw->p[pw->n - 1];
733                         pw->n--;
734                 }
735         }
736         
737         isl_set_free(set);
738         return pw;
739 error:
740         isl_set_free(set);
741         FN(PW,free)(pw);
742         return NULL;
743 }
744
745 static __isl_give PW *FN(PW,intersect_domain_aligned)(__isl_take PW *pw,
746         __isl_take isl_set *set)
747 {
748         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect);
749 }
750
751 __isl_give PW *FN(PW,intersect_domain)(__isl_take PW *pw,
752         __isl_take isl_set *context)
753 {
754         return FN(PW,align_params_pw_set_and)(pw, context,
755                                         &FN(PW,intersect_domain_aligned));
756 }
757
758 static __isl_give PW *FN(PW,intersect_params_aligned)(__isl_take PW *pw,
759         __isl_take isl_set *set)
760 {
761         return FN(PW,intersect_aligned)(pw, set, &isl_set_intersect_params);
762 }
763
764 /* Intersect the domain of "pw" with the parameter domain "context".
765  */
766 __isl_give PW *FN(PW,intersect_params)(__isl_take PW *pw,
767         __isl_take isl_set *context)
768 {
769         return FN(PW,align_params_pw_set_and)(pw, context,
770                                         &FN(PW,intersect_params_aligned));
771 }
772
773 static __isl_give PW *FN(PW,gist_aligned)(__isl_take PW *pw,
774         __isl_take isl_set *context,
775         __isl_give EL *(*fn_el)(__isl_take EL *el,
776                                     __isl_take isl_set *set),
777         __isl_give isl_set *(*fn_dom)(__isl_take isl_set *set,
778                                     __isl_take isl_basic_set *bset))
779 {
780         int i;
781         isl_basic_set *hull = NULL;
782
783         if (!pw || !context)
784                 goto error;
785
786         if (pw->n == 0) {
787                 isl_set_free(context);
788                 return pw;
789         }
790
791         if (!isl_space_match(pw->dim, isl_dim_param,
792                                 context->dim, isl_dim_param)) {
793                 pw = FN(PW,align_params)(pw, isl_set_get_space(context));
794                 context = isl_set_align_params(context, FN(PW,get_space)(pw));
795         }
796
797         context = isl_set_compute_divs(context);
798         hull = isl_set_simple_hull(isl_set_copy(context));
799
800         pw = FN(PW,cow)(pw);
801         if (!pw)
802                 goto error;
803
804         for (i = pw->n - 1; i >= 0; --i) {
805                 pw->p[i].set = isl_set_intersect(pw->p[i].set,
806                                                  isl_set_copy(context));
807                 if (!pw->p[i].set)
808                         goto error;
809                 pw->p[i].FIELD = fn_el(pw->p[i].FIELD,
810                                              isl_set_copy(pw->p[i].set));
811                 pw->p[i].set = fn_dom(pw->p[i].set, isl_basic_set_copy(hull));
812                 if (!pw->p[i].set)
813                         goto error;
814                 if (isl_set_plain_is_empty(pw->p[i].set)) {
815                         isl_set_free(pw->p[i].set);
816                         FN(EL,free)(pw->p[i].FIELD);
817                         if (i != pw->n - 1)
818                                 pw->p[i] = pw->p[pw->n - 1];
819                         pw->n--;
820                 }
821         }
822
823         isl_basic_set_free(hull);
824         isl_set_free(context);
825
826         return pw;
827 error:
828         FN(PW,free)(pw);
829         isl_basic_set_free(hull);
830         isl_set_free(context);
831         return NULL;
832 }
833
834 static __isl_give PW *FN(PW,gist_domain_aligned)(__isl_take PW *pw,
835         __isl_take isl_set *set)
836 {
837         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist),
838                                         &isl_set_gist_basic_set);
839 }
840
841 __isl_give PW *FN(PW,gist)(__isl_take PW *pw, __isl_take isl_set *context)
842 {
843         return FN(PW,align_params_pw_set_and)(pw, context,
844                                                 &FN(PW,gist_domain_aligned));
845 }
846
847 static __isl_give PW *FN(PW,gist_params_aligned)(__isl_take PW *pw,
848         __isl_take isl_set *set)
849 {
850         return FN(PW,gist_aligned)(pw, set, &FN(EL,gist_params),
851                                         &isl_set_gist_params_basic_set);
852 }
853
854 __isl_give PW *FN(PW,gist_params)(__isl_take PW *pw,
855         __isl_take isl_set *context)
856 {
857         return FN(PW,align_params_pw_set_and)(pw, context,
858                                                 &FN(PW,gist_params_aligned));
859 }
860
861 __isl_give PW *FN(PW,coalesce)(__isl_take PW *pw)
862 {
863         int i, j;
864
865         if (!pw)
866                 return NULL;
867         if (pw->n == 0)
868                 return pw;
869
870         for (i = pw->n - 1; i >= 0; --i) {
871                 for (j = i - 1; j >= 0; --j) {
872                         if (!FN(EL,plain_is_equal)(pw->p[i].FIELD,
873                                                         pw->p[j].FIELD))
874                                 continue;
875                         pw->p[j].set = isl_set_union(pw->p[j].set,
876                                                         pw->p[i].set);
877                         FN(EL,free)(pw->p[i].FIELD);
878                         if (i != pw->n - 1)
879                                 pw->p[i] = pw->p[pw->n - 1];
880                         pw->n--;
881                         break;
882                 }
883                 if (j >= 0)
884                         continue;
885                 pw->p[i].set = isl_set_coalesce(pw->p[i].set);
886                 if (!pw->p[i].set)
887                         goto error;
888         }
889
890         return pw;
891 error:
892         FN(PW,free)(pw);
893         return NULL;
894 }
895
896 isl_ctx *FN(PW,get_ctx)(__isl_keep PW *pw)
897 {
898         return pw ? isl_space_get_ctx(pw->dim) : NULL;
899 }
900
901 #ifndef NO_INVOLVES_DIMS
902 int FN(PW,involves_dims)(__isl_keep PW *pw, enum isl_dim_type type,
903         unsigned first, unsigned n)
904 {
905         int i;
906         enum isl_dim_type set_type;
907
908         if (!pw)
909                 return -1;
910         if (pw->n == 0 || n == 0)
911                 return 0;
912
913         set_type = type == isl_dim_in ? isl_dim_set : type;
914
915         for (i = 0; i < pw->n; ++i) {
916                 int involves = FN(EL,involves_dims)(pw->p[i].FIELD,
917                                                         type, first, n);
918                 if (involves < 0 || involves)
919                         return involves;
920                 involves = isl_set_involves_dims(pw->p[i].set,
921                                                         set_type, first, n);
922                 if (involves < 0 || involves)
923                         return involves;
924         }
925         return 0;
926 }
927 #endif
928
929 __isl_give PW *FN(PW,set_dim_name)(__isl_take PW *pw,
930         enum isl_dim_type type, unsigned pos, const char *s)
931 {
932         int i;
933         enum isl_dim_type set_type;
934
935         pw = FN(PW,cow)(pw);
936         if (!pw)
937                 return NULL;
938
939         set_type = type == isl_dim_in ? isl_dim_set : type;
940
941         pw->dim = isl_space_set_dim_name(pw->dim, type, pos, s);
942         if (!pw->dim)
943                 goto error;
944
945         for (i = 0; i < pw->n; ++i) {
946                 pw->p[i].set = isl_set_set_dim_name(pw->p[i].set,
947                                                         set_type, pos, s);
948                 if (!pw->p[i].set)
949                         goto error;
950                 pw->p[i].FIELD = FN(EL,set_dim_name)(pw->p[i].FIELD, type, pos, s);
951                 if (!pw->p[i].FIELD)
952                         goto error;
953         }
954
955         return pw;
956 error:
957         FN(PW,free)(pw);
958         return NULL;
959 }
960
961 #ifndef NO_DROP_DIMS
962 __isl_give PW *FN(PW,drop_dims)(__isl_take PW *pw,
963         enum isl_dim_type type, unsigned first, unsigned n)
964 {
965         int i;
966         enum isl_dim_type set_type;
967
968         if (!pw)
969                 return NULL;
970         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
971                 return pw;
972
973         set_type = type == isl_dim_in ? isl_dim_set : type;
974
975         pw = FN(PW,cow)(pw);
976         if (!pw)
977                 return NULL;
978         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
979         if (!pw->dim)
980                 goto error;
981         for (i = 0; i < pw->n; ++i) {
982                 pw->p[i].set = isl_set_drop(pw->p[i].set, set_type, first, n);
983                 if (!pw->p[i].set)
984                         goto error;
985                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
986                 if (!pw->p[i].FIELD)
987                         goto error;
988         }
989
990         return pw;
991 error:
992         FN(PW,free)(pw);
993         return NULL;
994 }
995
996 /* This function is very similar to drop_dims.
997  * The only difference is that the cells may still involve
998  * the specified dimensions.  They are removed using
999  * isl_set_project_out instead of isl_set_drop.
1000  */
1001 __isl_give PW *FN(PW,project_out)(__isl_take PW *pw,
1002         enum isl_dim_type type, unsigned first, unsigned n)
1003 {
1004         int i;
1005         enum isl_dim_type set_type;
1006
1007         if (!pw)
1008                 return NULL;
1009         if (n == 0 && !isl_space_get_tuple_name(pw->dim, type))
1010                 return pw;
1011
1012         set_type = type == isl_dim_in ? isl_dim_set : type;
1013
1014         pw = FN(PW,cow)(pw);
1015         if (!pw)
1016                 return NULL;
1017         pw->dim = isl_space_drop_dims(pw->dim, type, first, n);
1018         if (!pw->dim)
1019                 goto error;
1020         for (i = 0; i < pw->n; ++i) {
1021                 pw->p[i].set = isl_set_project_out(pw->p[i].set,
1022                                                         set_type, first, n);
1023                 if (!pw->p[i].set)
1024                         goto error;
1025                 pw->p[i].FIELD = FN(EL,drop_dims)(pw->p[i].FIELD, type, first, n);
1026                 if (!pw->p[i].FIELD)
1027                         goto error;
1028         }
1029
1030         return pw;
1031 error:
1032         FN(PW,free)(pw);
1033         return NULL;
1034 }
1035
1036 /* Project the domain of pw onto its parameter space.
1037  */
1038 __isl_give PW *FN(PW,project_domain_on_params)(__isl_take PW *pw)
1039 {
1040         isl_space *space;
1041         unsigned n;
1042
1043         n = FN(PW,dim)(pw, isl_dim_in);
1044         pw = FN(PW,project_out)(pw, isl_dim_in, 0, n);
1045         space = FN(PW,get_domain_space)(pw);
1046         space = isl_space_params(space);
1047         pw = FN(PW,reset_domain_space)(pw, space);
1048         return pw;
1049 }
1050 #endif
1051
1052 #ifndef NO_INSERT_DIMS
1053 __isl_give PW *FN(PW,insert_dims)(__isl_take PW *pw, enum isl_dim_type type,
1054         unsigned first, unsigned n)
1055 {
1056         int i;
1057         enum isl_dim_type set_type;
1058
1059         if (!pw)
1060                 return NULL;
1061         if (n == 0 && !isl_space_is_named_or_nested(pw->dim, type))
1062                 return pw;
1063
1064         set_type = type == isl_dim_in ? isl_dim_set : type;
1065
1066         pw = FN(PW,cow)(pw);
1067         if (!pw)
1068                 return NULL;
1069
1070         pw->dim = isl_space_insert_dims(pw->dim, type, first, n);
1071         if (!pw->dim)
1072                 goto error;
1073
1074         for (i = 0; i < pw->n; ++i) {
1075                 pw->p[i].set = isl_set_insert_dims(pw->p[i].set,
1076                                                             set_type, first, n);
1077                 if (!pw->p[i].set)
1078                         goto error;
1079                 pw->p[i].FIELD = FN(EL,insert_dims)(pw->p[i].FIELD,
1080                                                                 type, first, n);
1081                 if (!pw->p[i].FIELD)
1082                         goto error;
1083         }
1084
1085         return pw;
1086 error:
1087         FN(PW,free)(pw);
1088         return NULL;
1089 }
1090 #endif
1091
1092 __isl_give PW *FN(PW,fix_dim)(__isl_take PW *pw,
1093         enum isl_dim_type type, unsigned pos, isl_int v)
1094 {
1095         int i;
1096
1097         if (!pw)
1098                 return NULL;
1099
1100         if (type == isl_dim_in)
1101                 type = isl_dim_set;
1102
1103         pw = FN(PW,cow)(pw);
1104         if (!pw)
1105                 return NULL;
1106         for (i = 0; i < pw->n; ++i) {
1107                 pw->p[i].set = isl_set_fix(pw->p[i].set, type, pos, v);
1108                 if (!pw->p[i].set)
1109                         goto error;
1110         }
1111
1112         return pw;
1113 error:
1114         FN(PW,free)(pw);
1115         return NULL;
1116 }
1117
1118 unsigned FN(PW,dim)(__isl_keep PW *pw, enum isl_dim_type type)
1119 {
1120         return pw ? isl_space_dim(pw->dim, type) : 0;
1121 }
1122
1123 __isl_give PW *FN(PW,split_dims)(__isl_take PW *pw,
1124         enum isl_dim_type type, unsigned first, unsigned n)
1125 {
1126         int i;
1127
1128         if (!pw)
1129                 return NULL;
1130         if (n == 0)
1131                 return pw;
1132
1133         if (type == isl_dim_in)
1134                 type = isl_dim_set;
1135
1136         pw = FN(PW,cow)(pw);
1137         if (!pw)
1138                 return NULL;
1139         if (!pw->dim)
1140                 goto error;
1141         for (i = 0; i < pw->n; ++i) {
1142                 pw->p[i].set = isl_set_split_dims(pw->p[i].set, type, first, n);
1143                 if (!pw->p[i].set)
1144                         goto error;
1145         }
1146
1147         return pw;
1148 error:
1149         FN(PW,free)(pw);
1150         return NULL;
1151 }
1152
1153 #ifndef NO_OPT
1154 /* Compute the maximal value attained by the piecewise quasipolynomial
1155  * on its domain or zero if the domain is empty.
1156  * In the worst case, the domain is scanned completely,
1157  * so the domain is assumed to be bounded.
1158  */
1159 __isl_give isl_qpolynomial *FN(PW,opt)(__isl_take PW *pw, int max)
1160 {
1161         int i;
1162         isl_qpolynomial *opt;
1163
1164         if (!pw)
1165                 return NULL;
1166
1167         if (pw->n == 0) {
1168                 isl_space *dim = isl_space_copy(pw->dim);
1169                 FN(PW,free)(pw);
1170                 return isl_qpolynomial_zero_on_domain(isl_space_domain(dim));
1171         }
1172
1173         opt = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[0].FIELD),
1174                                         isl_set_copy(pw->p[0].set), max);
1175         for (i = 1; i < pw->n; ++i) {
1176                 isl_qpolynomial *opt_i;
1177                 opt_i = FN(EL,opt_on_domain)(FN(EL,copy)(pw->p[i].FIELD),
1178                                                 isl_set_copy(pw->p[i].set), max);
1179                 if (max)
1180                         opt = isl_qpolynomial_max_cst(opt, opt_i);
1181                 else
1182                         opt = isl_qpolynomial_min_cst(opt, opt_i);
1183         }
1184
1185         FN(PW,free)(pw);
1186         return opt;
1187 }
1188
1189 __isl_give isl_qpolynomial *FN(PW,max)(__isl_take PW *pw)
1190 {
1191         return FN(PW,opt)(pw, 1);
1192 }
1193
1194 __isl_give isl_qpolynomial *FN(PW,min)(__isl_take PW *pw)
1195 {
1196         return FN(PW,opt)(pw, 0);
1197 }
1198 #endif
1199
1200 __isl_give isl_space *FN(PW,get_space)(__isl_keep PW *pw)
1201 {
1202         return pw ? isl_space_copy(pw->dim) : NULL;
1203 }
1204
1205 __isl_give isl_space *FN(PW,get_domain_space)(__isl_keep PW *pw)
1206 {
1207         return pw ? isl_space_domain(isl_space_copy(pw->dim)) : NULL;
1208 }
1209
1210 #ifndef NO_RESET_DIM
1211 /* Reset the space of "pw".  Since we don't know if the elements
1212  * represent the spaces themselves or their domains, we pass along
1213  * both when we call their reset_space_and_domain.
1214  */
1215 static __isl_give PW *FN(PW,reset_space_and_domain)(__isl_take PW *pw,
1216         __isl_take isl_space *space, __isl_take isl_space *domain)
1217 {
1218         int i;
1219
1220         pw = FN(PW,cow)(pw);
1221         if (!pw || !space || !domain)
1222                 goto error;
1223
1224         for (i = 0; i < pw->n; ++i) {
1225                 pw->p[i].set = isl_set_reset_space(pw->p[i].set,
1226                                                  isl_space_copy(domain));
1227                 if (!pw->p[i].set)
1228                         goto error;
1229                 pw->p[i].FIELD = FN(EL,reset_space_and_domain)(pw->p[i].FIELD,
1230                               isl_space_copy(space), isl_space_copy(domain));
1231                 if (!pw->p[i].FIELD)
1232                         goto error;
1233         }
1234
1235         isl_space_free(domain);
1236
1237         isl_space_free(pw->dim);
1238         pw->dim = space;
1239
1240         return pw;
1241 error:
1242         isl_space_free(domain);
1243         isl_space_free(space);
1244         FN(PW,free)(pw);
1245         return NULL;
1246 }
1247
1248 __isl_give PW *FN(PW,reset_domain_space)(__isl_take PW *pw,
1249         __isl_take isl_space *domain)
1250 {
1251         isl_space *space;
1252
1253         space = isl_space_extend_domain_with_range(isl_space_copy(domain),
1254                                                    FN(PW,get_space)(pw));
1255         return FN(PW,reset_space_and_domain)(pw, space, domain);
1256 }
1257
1258 __isl_give PW *FN(PW,reset_space)(__isl_take PW *pw, __isl_take isl_space *dim)
1259 {
1260         isl_space *domain;
1261
1262         domain = isl_space_domain(isl_space_copy(dim));
1263         return FN(PW,reset_space_and_domain)(pw, dim, domain);
1264 }
1265
1266 __isl_give PW *FN(PW,set_tuple_id)(__isl_keep PW *pw, enum isl_dim_type type,
1267         __isl_take isl_id *id)
1268 {
1269         isl_space *space;
1270
1271         pw = FN(PW,cow)(pw);
1272         if (!pw)
1273                 return isl_id_free(id);
1274
1275         space = FN(PW,get_space)(pw);
1276         space = isl_space_set_tuple_id(space, type, id);
1277
1278         return FN(PW,reset_space)(pw, space);
1279 }
1280
1281 __isl_give PW *FN(PW,set_dim_id)(__isl_take PW *pw,
1282         enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
1283 {
1284         pw = FN(PW,cow)(pw);
1285         if (!pw)
1286                 return isl_id_free(id);
1287         pw->dim = isl_space_set_dim_id(pw->dim, type, pos, id);
1288         return FN(PW,reset_space)(pw, isl_space_copy(pw->dim));
1289 }
1290 #endif
1291
1292 int FN(PW,has_equal_space)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1293 {
1294         if (!pw1 || !pw2)
1295                 return -1;
1296
1297         return isl_space_is_equal(pw1->dim, pw2->dim);
1298 }
1299
1300 #ifndef NO_MORPH
1301 __isl_give PW *FN(PW,morph_domain)(__isl_take PW *pw,
1302         __isl_take isl_morph *morph)
1303 {
1304         int i;
1305         isl_ctx *ctx;
1306
1307         if (!pw || !morph)
1308                 goto error;
1309
1310         ctx = isl_space_get_ctx(pw->dim);
1311         isl_assert(ctx, isl_space_is_domain_internal(morph->dom->dim, pw->dim),
1312                 goto error);
1313
1314         pw = FN(PW,cow)(pw);
1315         if (!pw)
1316                 goto error;
1317         pw->dim = isl_space_extend_domain_with_range(
1318                         isl_space_copy(morph->ran->dim), pw->dim);
1319         if (!pw->dim)
1320                 goto error;
1321
1322         for (i = 0; i < pw->n; ++i) {
1323                 pw->p[i].set = isl_morph_set(isl_morph_copy(morph), pw->p[i].set);
1324                 if (!pw->p[i].set)
1325                         goto error;
1326                 pw->p[i].FIELD = FN(EL,morph_domain)(pw->p[i].FIELD,
1327                                                 isl_morph_copy(morph));
1328                 if (!pw->p[i].FIELD)
1329                         goto error;
1330         }
1331
1332         isl_morph_free(morph);
1333
1334         return pw;
1335 error:
1336         FN(PW,free)(pw);
1337         isl_morph_free(morph);
1338         return NULL;
1339 }
1340 #endif
1341
1342 int FN(PW,n_piece)(__isl_keep PW *pw)
1343 {
1344         return pw ? pw->n : 0;
1345 }
1346
1347 int FN(PW,foreach_piece)(__isl_keep PW *pw,
1348         int (*fn)(__isl_take isl_set *set, __isl_take EL *el, void *user),
1349         void *user)
1350 {
1351         int i;
1352
1353         if (!pw)
1354                 return -1;
1355
1356         for (i = 0; i < pw->n; ++i)
1357                 if (fn(isl_set_copy(pw->p[i].set),
1358                                 FN(EL,copy)(pw->p[i].FIELD), user) < 0)
1359                         return -1;
1360
1361         return 0;
1362 }
1363
1364 #ifndef NO_LIFT
1365 static int any_divs(__isl_keep isl_set *set)
1366 {
1367         int i;
1368
1369         if (!set)
1370                 return -1;
1371
1372         for (i = 0; i < set->n; ++i)
1373                 if (set->p[i]->n_div > 0)
1374                         return 1;
1375
1376         return 0;
1377 }
1378
1379 static int foreach_lifted_subset(__isl_take isl_set *set, __isl_take EL *el,
1380         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1381                     void *user), void *user)
1382 {
1383         int i;
1384
1385         if (!set || !el)
1386                 goto error;
1387
1388         for (i = 0; i < set->n; ++i) {
1389                 isl_set *lift;
1390                 EL *copy;
1391
1392                 lift = isl_set_from_basic_set(isl_basic_set_copy(set->p[i]));
1393                 lift = isl_set_lift(lift);
1394
1395                 copy = FN(EL,copy)(el);
1396                 copy = FN(EL,lift)(copy, isl_set_get_space(lift));
1397
1398                 if (fn(lift, copy, user) < 0)
1399                         goto error;
1400         }
1401
1402         isl_set_free(set);
1403         FN(EL,free)(el);
1404
1405         return 0;
1406 error:
1407         isl_set_free(set);
1408         FN(EL,free)(el);
1409         return -1;
1410 }
1411
1412 int FN(PW,foreach_lifted_piece)(__isl_keep PW *pw,
1413         int (*fn)(__isl_take isl_set *set, __isl_take EL *el,
1414                     void *user), void *user)
1415 {
1416         int i;
1417
1418         if (!pw)
1419                 return -1;
1420
1421         for (i = 0; i < pw->n; ++i) {
1422                 isl_set *set;
1423                 EL *el;
1424
1425                 set = isl_set_copy(pw->p[i].set);
1426                 el = FN(EL,copy)(pw->p[i].FIELD);
1427                 if (!any_divs(set)) {
1428                         if (fn(set, el, user) < 0)
1429                                 return -1;
1430                         continue;
1431                 }
1432                 if (foreach_lifted_subset(set, el, fn, user) < 0)
1433                         return -1;
1434         }
1435
1436         return 0;
1437 }
1438 #endif
1439
1440 #ifndef NO_MOVE_DIMS
1441 __isl_give PW *FN(PW,move_dims)(__isl_take PW *pw,
1442         enum isl_dim_type dst_type, unsigned dst_pos,
1443         enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1444 {
1445         int i;
1446
1447         pw = FN(PW,cow)(pw);
1448         if (!pw)
1449                 return NULL;
1450
1451         pw->dim = isl_space_move_dims(pw->dim, dst_type, dst_pos, src_type, src_pos, n);
1452         if (!pw->dim)
1453                 goto error;
1454
1455         for (i = 0; i < pw->n; ++i) {
1456                 pw->p[i].FIELD = FN(EL,move_dims)(pw->p[i].FIELD,
1457                                         dst_type, dst_pos, src_type, src_pos, n);
1458                 if (!pw->p[i].FIELD)
1459                         goto error;
1460         }
1461
1462         if (dst_type == isl_dim_in)
1463                 dst_type = isl_dim_set;
1464         if (src_type == isl_dim_in)
1465                 src_type = isl_dim_set;
1466
1467         for (i = 0; i < pw->n; ++i) {
1468                 pw->p[i].set = isl_set_move_dims(pw->p[i].set,
1469                                                 dst_type, dst_pos,
1470                                                 src_type, src_pos, n);
1471                 if (!pw->p[i].set)
1472                         goto error;
1473         }
1474
1475         return pw;
1476 error:
1477         FN(PW,free)(pw);
1478         return NULL;
1479 }
1480 #endif
1481
1482 __isl_give PW *FN(PW,mul_isl_int)(__isl_take PW *pw, isl_int v)
1483 {
1484         int i;
1485
1486         if (isl_int_is_one(v))
1487                 return pw;
1488         if (pw && DEFAULT_IS_ZERO && isl_int_is_zero(v)) {
1489                 PW *zero;
1490                 isl_space *dim = FN(PW,get_space)(pw);
1491 #ifdef HAS_TYPE
1492                 zero = FN(PW,ZERO)(dim, pw->type);
1493 #else
1494                 zero = FN(PW,ZERO)(dim);
1495 #endif
1496                 FN(PW,free)(pw);
1497                 return zero;
1498         }
1499         pw = FN(PW,cow)(pw);
1500         if (!pw)
1501                 return NULL;
1502         if (pw->n == 0)
1503                 return pw;
1504
1505 #ifdef HAS_TYPE
1506         if (isl_int_is_neg(v))
1507                 pw->type = isl_fold_type_negate(pw->type);
1508 #endif
1509         for (i = 0; i < pw->n; ++i) {
1510                 pw->p[i].FIELD = FN(EL,scale)(pw->p[i].FIELD, v);
1511                 if (!pw->p[i].FIELD)
1512                         goto error;
1513         }
1514
1515         return pw;
1516 error:
1517         FN(PW,free)(pw);
1518         return NULL;
1519 }
1520
1521 __isl_give PW *FN(PW,scale)(__isl_take PW *pw, isl_int v)
1522 {
1523         return FN(PW,mul_isl_int)(pw, v);
1524 }
1525
1526 static int FN(PW,qsort_set_cmp)(const void *p1, const void *p2)
1527 {
1528         const isl_set *set1 = *(const isl_set **)p1;
1529         const isl_set *set2 = *(const isl_set **)p2;
1530
1531         return isl_set_plain_cmp(set1, set2);
1532 }
1533
1534 /* We normalize in place, but if anything goes wrong we need
1535  * to return NULL, so we need to make sure we don't change the
1536  * meaning of any possible other copies of map.
1537  */
1538 __isl_give PW *FN(PW,normalize)(__isl_take PW *pw)
1539 {
1540         int i, j;
1541         isl_set *set;
1542
1543         if (!pw)
1544                 return NULL;
1545         for (i = 0; i < pw->n; ++i) {
1546                 set = isl_set_normalize(isl_set_copy(pw->p[i].set));
1547                 if (!set)
1548                         return FN(PW,free)(pw);
1549                 isl_set_free(pw->p[i].set);
1550                 pw->p[i].set = set;
1551         }
1552         qsort(pw->p, pw->n, sizeof(pw->p[0]), &FN(PW,qsort_set_cmp));
1553         for (i = pw->n - 1; i >= 1; --i) {
1554                 if (!isl_set_plain_is_equal(pw->p[i - 1].set, pw->p[i].set))
1555                         continue;
1556                 if (!FN(EL,plain_is_equal)(pw->p[i - 1].FIELD, pw->p[i].FIELD))
1557                         continue;
1558                 set = isl_set_union(isl_set_copy(pw->p[i - 1].set),
1559                                     isl_set_copy(pw->p[i].set));
1560                 if (!set)
1561                         return FN(PW,free)(pw);
1562                 isl_set_free(pw->p[i].set);
1563                 FN(EL,free)(pw->p[i].FIELD);
1564                 isl_set_free(pw->p[i - 1].set);
1565                 pw->p[i - 1].set = set;
1566                 for (j = i + 1; j < pw->n; ++j)
1567                         pw->p[j - 1] = pw->p[j];
1568                 pw->n--;
1569         }
1570
1571         return pw;
1572 }
1573
1574 /* Is pw1 obviously equal to pw2?
1575  * That is, do they have obviously identical cells and obviously identical
1576  * elements on each cell?
1577  */
1578 int FN(PW,plain_is_equal)(__isl_keep PW *pw1, __isl_keep PW *pw2)
1579 {
1580         int i;
1581         int equal;
1582
1583         if (!pw1 || !pw2)
1584                 return -1;
1585
1586         if (pw1 == pw2)
1587                 return 1;
1588         if (!isl_space_is_equal(pw1->dim, pw2->dim))
1589                 return 0;
1590
1591         pw1 = FN(PW,copy)(pw1);
1592         pw2 = FN(PW,copy)(pw2);
1593         pw1 = FN(PW,normalize)(pw1);
1594         pw2 = FN(PW,normalize)(pw2);
1595         if (!pw1 || !pw2)
1596                 goto error;
1597
1598         equal = pw1->n == pw2->n;
1599         for (i = 0; equal && i < pw1->n; ++i) {
1600                 equal = isl_set_plain_is_equal(pw1->p[i].set, pw2->p[i].set);
1601                 if (equal < 0)
1602                         goto error;
1603                 if (!equal)
1604                         break;
1605                 equal = FN(EL,plain_is_equal)(pw1->p[i].FIELD, pw2->p[i].FIELD);
1606                 if (equal < 0)
1607                         goto error;
1608         }
1609
1610         FN(PW,free)(pw1);
1611         FN(PW,free)(pw2);
1612         return equal;
1613 error:
1614         FN(PW,free)(pw1);
1615         FN(PW,free)(pw2);
1616         return -1;
1617 }