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)
7 static __isl_give PW
*FN(PW
,alloc_
)(__isl_take isl_dim
*dim
,
8 enum isl_fold type
, int n
)
10 static __isl_give PW
*FN(PW
,alloc_
)(__isl_take isl_dim
*dim
, int n
)
18 ctx
= isl_dim_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
)));
39 __isl_give PW
*FN(PW
,zero
)(__isl_take isl_dim
*dim
, enum isl_fold type
)
41 return FN(PW
,alloc_
)(dim
, type
, 0);
44 __isl_give PW
*FN(PW
,zero
)(__isl_take isl_dim
*dim
)
46 return FN(PW
,alloc_
)(dim
, 0);
50 __isl_give PW
*FN(PW
,add_piece
)(__isl_take PW
*pw
,
51 __isl_take isl_set
*set
, __isl_take EL
*el
)
54 isl_dim
*el_dim
= NULL
;
56 if (!pw
|| !set
|| !el
)
59 if (isl_set_plain_is_empty(set
) || FN(EL
,IS_ZERO
)(el
)) {
65 ctx
= isl_set_get_ctx(set
);
67 if (pw
->type
!= el
->type
)
68 isl_die(ctx
, isl_error_invalid
, "fold types don't match",
71 el_dim
= FN(EL
,get_dim(el
));
72 isl_assert(ctx
, isl_dim_equal(pw
->dim
, el_dim
), goto error
);
73 isl_assert(ctx
, pw
->n
< pw
->size
, goto error
);
75 pw
->p
[pw
->n
].set
= set
;
76 pw
->p
[pw
->n
].FIELD
= el
;
90 __isl_give PW
*FN(PW
,alloc
)(enum isl_fold type
,
91 __isl_take isl_set
*set
, __isl_take EL
*el
)
93 __isl_give PW
*FN(PW
,alloc
)(__isl_take isl_set
*set
, __isl_take EL
*el
)
102 pw
= FN(PW
,alloc_
)(isl_set_get_dim(set
), type
, 1);
104 pw
= FN(PW
,alloc_
)(isl_set_get_dim(set
), 1);
107 return FN(PW
,add_piece
)(pw
, set
, el
);
114 __isl_give PW
*FN(PW
,dup
)(__isl_keep PW
*pw
)
123 dup
= FN(PW
,alloc_
)(isl_dim_copy(pw
->dim
), pw
->type
, pw
->n
);
125 dup
= FN(PW
,alloc_
)(isl_dim_copy(pw
->dim
), pw
->n
);
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
));
137 __isl_give PW
*FN(PW
,cow
)(__isl_take PW
*pw
)
145 return FN(PW
,dup
)(pw
);
148 __isl_give PW
*FN(PW
,copy
)(__isl_keep PW
*pw
)
157 void FN(PW
,free
)(__isl_take PW
*pw
)
166 for (i
= 0; i
< pw
->n
; ++i
) {
167 isl_set_free(pw
->p
[i
].set
);
168 FN(EL
,free
)(pw
->p
[i
].FIELD
);
170 isl_dim_free(pw
->dim
);
174 int FN(PW
,is_zero
)(__isl_keep PW
*pw
)
182 __isl_give PW
*FN(PW
,add
)(__isl_take PW
*pw1
, __isl_take PW
*pw2
)
192 ctx
= isl_dim_get_ctx(pw1
->dim
);
194 if (pw1
->type
!= pw2
->type
)
195 isl_die(ctx
, isl_error_invalid
,
196 "fold types don't match", goto error
);
198 isl_assert(ctx
, isl_dim_equal(pw1
->dim
, pw2
->dim
), goto error
);
200 if (FN(PW
,is_zero
)(pw1
)) {
205 if (FN(PW
,is_zero
)(pw2
)) {
210 n
= (pw1
->n
+ 1) * (pw2
->n
+ 1);
212 res
= FN(PW
,alloc_
)(isl_dim_copy(pw1
->dim
), pw1
->type
, n
);
214 res
= FN(PW
,alloc_
)(isl_dim_copy(pw1
->dim
), n
);
217 for (i
= 0; i
< pw1
->n
; ++i
) {
218 set
= isl_set_copy(pw1
->p
[i
].set
);
219 for (j
= 0; j
< pw2
->n
; ++j
) {
220 struct isl_set
*common
;
222 set
= isl_set_subtract(set
,
223 isl_set_copy(pw2
->p
[j
].set
));
224 common
= isl_set_intersect(isl_set_copy(pw1
->p
[i
].set
),
225 isl_set_copy(pw2
->p
[j
].set
));
226 if (isl_set_plain_is_empty(common
)) {
227 isl_set_free(common
);
231 sum
= FN(EL
,add_on_domain
)(common
,
232 FN(EL
,copy
)(pw1
->p
[i
].FIELD
),
233 FN(EL
,copy
)(pw2
->p
[j
].FIELD
));
235 res
= FN(PW
,add_piece
)(res
, common
, sum
);
237 res
= FN(PW
,add_piece
)(res
, set
, FN(EL
,copy
)(pw1
->p
[i
].FIELD
));
240 for (j
= 0; j
< pw2
->n
; ++j
) {
241 set
= isl_set_copy(pw2
->p
[j
].set
);
242 for (i
= 0; i
< pw1
->n
; ++i
)
243 set
= isl_set_subtract(set
,
244 isl_set_copy(pw1
->p
[i
].set
));
245 res
= FN(PW
,add_piece
)(res
, set
, FN(EL
,copy
)(pw2
->p
[j
].FIELD
));
258 __isl_give PW
*FN(PW
,add_disjoint
)(__isl_take PW
*pw1
, __isl_take PW
*pw2
)
267 ctx
= isl_dim_get_ctx(pw1
->dim
);
269 if (pw1
->type
!= pw2
->type
)
270 isl_die(ctx
, isl_error_invalid
,
271 "fold types don't match", goto error
);
273 isl_assert(ctx
, isl_dim_equal(pw1
->dim
, pw2
->dim
), goto error
);
275 if (FN(PW
,is_zero
)(pw1
)) {
280 if (FN(PW
,is_zero
)(pw2
)) {
286 res
= FN(PW
,alloc_
)(isl_dim_copy(pw1
->dim
), pw1
->type
, pw1
->n
+ pw2
->n
);
288 res
= FN(PW
,alloc_
)(isl_dim_copy(pw1
->dim
), pw1
->n
+ pw2
->n
);
291 for (i
= 0; i
< pw1
->n
; ++i
)
292 res
= FN(PW
,add_piece
)(res
,
293 isl_set_copy(pw1
->p
[i
].set
),
294 FN(EL
,copy
)(pw1
->p
[i
].FIELD
));
296 for (i
= 0; i
< pw2
->n
; ++i
)
297 res
= FN(PW
,add_piece
)(res
,
298 isl_set_copy(pw2
->p
[i
].set
),
299 FN(EL
,copy
)(pw2
->p
[i
].FIELD
));
311 __isl_give isl_qpolynomial
*FN(PW
,eval
)(__isl_take PW
*pw
,
312 __isl_take isl_point
*pnt
)
317 isl_dim
*pnt_dim
= NULL
;
322 ctx
= isl_point_get_ctx(pnt
);
323 pnt_dim
= isl_point_get_dim(pnt
);
324 isl_assert(ctx
, isl_dim_equal(pnt_dim
, pw
->dim
), goto error
);
326 for (i
= 0; i
< pw
->n
; ++i
) {
327 found
= isl_set_contains_point(pw
->p
[i
].set
, pnt
);
334 qp
= FN(EL
,eval
)(FN(EL
,copy
)(pw
->p
[i
].FIELD
),
335 isl_point_copy(pnt
));
337 qp
= isl_qpolynomial_zero(isl_dim_copy(pw
->dim
));
339 isl_dim_free(pnt_dim
);
344 isl_dim_free(pnt_dim
);
349 __isl_give isl_set
*FN(PW
,domain
)(__isl_take PW
*pw
)
357 dom
= isl_set_empty(isl_dim_copy(pw
->dim
));
358 for (i
= 0; i
< pw
->n
; ++i
)
359 dom
= isl_set_union_disjoint(dom
, isl_set_copy(pw
->p
[i
].set
));
366 __isl_give PW
*FN(PW
,intersect_domain
)(__isl_take PW
*pw
, __isl_take isl_set
*set
)
382 for (i
= pw
->n
- 1; i
>= 0; --i
) {
384 pw
->p
[i
].set
= isl_set_intersect(pw
->p
[i
].set
, isl_set_copy(set
));
387 aff
= isl_set_affine_hull(isl_set_copy(pw
->p
[i
].set
));
388 pw
->p
[i
].FIELD
= FN(EL
,substitute_equalities
)(pw
->p
[i
].FIELD
,
390 if (isl_set_plain_is_empty(pw
->p
[i
].set
)) {
391 isl_set_free(pw
->p
[i
].set
);
392 FN(EL
,free
)(pw
->p
[i
].FIELD
);
394 pw
->p
[i
] = pw
->p
[pw
->n
- 1];
407 __isl_give PW
*FN(PW
,gist
)(__isl_take PW
*pw
, __isl_take isl_set
*context
)
410 isl_basic_set
*hull
= NULL
;
416 isl_set_free(context
);
420 context
= isl_set_compute_divs(context
);
421 hull
= isl_set_simple_hull(isl_set_copy(context
));
427 for (i
= pw
->n
- 1; i
>= 0; --i
) {
428 pw
->p
[i
].set
= isl_set_intersect(pw
->p
[i
].set
,
429 isl_set_copy(context
));
432 pw
->p
[i
].FIELD
= FN(EL
,gist
)(pw
->p
[i
].FIELD
,
433 isl_set_copy(pw
->p
[i
].set
));
434 pw
->p
[i
].set
= isl_set_gist_basic_set(pw
->p
[i
].set
,
435 isl_basic_set_copy(hull
));
438 if (isl_set_plain_is_empty(pw
->p
[i
].set
)) {
439 isl_set_free(pw
->p
[i
].set
);
440 FN(EL
,free
)(pw
->p
[i
].FIELD
);
442 pw
->p
[i
] = pw
->p
[pw
->n
- 1];
447 isl_basic_set_free(hull
);
448 isl_set_free(context
);
453 isl_basic_set_free(hull
);
454 isl_set_free(context
);
458 __isl_give PW
*FN(PW
,coalesce
)(__isl_take PW
*pw
)
467 for (i
= pw
->n
- 1; i
>= 0; --i
) {
468 for (j
= i
- 1; j
>= 0; --j
) {
469 if (!FN(EL
,plain_is_equal
)(pw
->p
[i
].FIELD
,
472 pw
->p
[j
].set
= isl_set_union(pw
->p
[j
].set
,
474 FN(EL
,free
)(pw
->p
[i
].FIELD
);
476 pw
->p
[i
] = pw
->p
[pw
->n
- 1];
482 pw
->p
[i
].set
= isl_set_coalesce(pw
->p
[i
].set
);
493 isl_ctx
*FN(PW
,get_ctx
)(__isl_keep PW
*pw
)
495 return pw
? isl_dim_get_ctx(pw
->dim
) : NULL
;
498 int FN(PW
,involves_dims
)(__isl_keep PW
*pw
, enum isl_dim_type type
,
499 unsigned first
, unsigned n
)
505 if (pw
->n
== 0 || n
== 0)
507 for (i
= 0; i
< pw
->n
; ++i
) {
508 int involves
= FN(EL
,involves_dims
)(pw
->p
[i
].FIELD
,
510 if (involves
< 0 || involves
)
512 involves
= isl_set_involves_dims(pw
->p
[i
].set
, type
, first
, n
);
513 if (involves
< 0 || involves
)
519 __isl_give PW
*FN(PW
,set_dim_name
)(__isl_take PW
*pw
,
520 enum isl_dim_type type
, unsigned pos
, const char *s
)
528 pw
->dim
= isl_dim_set_name(pw
->dim
, type
, pos
, s
);
532 for (i
= 0; i
< pw
->n
; ++i
) {
533 pw
->p
[i
].set
= isl_set_set_dim_name(pw
->p
[i
].set
, type
, pos
, s
);
536 pw
->p
[i
].FIELD
= FN(EL
,set_dim_name
)(pw
->p
[i
].FIELD
, type
, pos
, s
);
547 __isl_give PW
*FN(PW
,drop_dims
)(__isl_take PW
*pw
,
548 enum isl_dim_type type
, unsigned first
, unsigned n
)
554 if (n
== 0 && !isl_dim_get_tuple_name(pw
->dim
, type
))
560 pw
->dim
= isl_dim_drop(pw
->dim
, type
, first
, n
);
563 for (i
= 0; i
< pw
->n
; ++i
) {
564 pw
->p
[i
].set
= isl_set_drop(pw
->p
[i
].set
, type
, first
, n
);
567 pw
->p
[i
].FIELD
= FN(EL
,drop_dims
)(pw
->p
[i
].FIELD
, type
, first
, n
);
578 __isl_give PW
*FN(PW
,insert_dims
)(__isl_take PW
*pw
, enum isl_dim_type type
,
579 unsigned first
, unsigned n
)
585 if (n
== 0 && !isl_dim_is_named_or_nested(pw
->dim
, type
))
592 pw
->dim
= isl_dim_insert(pw
->dim
, type
, first
, n
);
596 for (i
= 0; i
< pw
->n
; ++i
) {
597 pw
->p
[i
].set
= isl_set_insert(pw
->p
[i
].set
, type
, first
, n
);
600 pw
->p
[i
].FIELD
= FN(EL
,insert_dims
)(pw
->p
[i
].FIELD
,
612 __isl_give PW
*FN(PW
,fix_dim
)(__isl_take PW
*pw
,
613 enum isl_dim_type type
, unsigned pos
, isl_int v
)
623 for (i
= 0; i
< pw
->n
; ++i
) {
624 pw
->p
[i
].set
= isl_set_fix(pw
->p
[i
].set
, type
, pos
, v
);
635 unsigned FN(PW
,dim
)(__isl_keep PW
*pw
, enum isl_dim_type type
)
637 return pw
? isl_dim_size(pw
->dim
, type
) : 0;
640 __isl_give PW
*FN(PW
,split_dims
)(__isl_take PW
*pw
,
641 enum isl_dim_type type
, unsigned first
, unsigned n
)
655 for (i
= 0; i
< pw
->n
; ++i
) {
656 pw
->p
[i
].set
= isl_set_split_dims(pw
->p
[i
].set
, type
, first
, n
);
667 /* Compute the maximal value attained by the piecewise quasipolynomial
668 * on its domain or zero if the domain is empty.
669 * In the worst case, the domain is scanned completely,
670 * so the domain is assumed to be bounded.
672 __isl_give isl_qpolynomial
*FN(PW
,opt
)(__isl_take PW
*pw
, int max
)
675 isl_qpolynomial
*opt
;
681 isl_dim
*dim
= isl_dim_copy(pw
->dim
);
683 return isl_qpolynomial_zero(dim
);
686 opt
= FN(EL
,opt_on_domain
)(FN(EL
,copy
)(pw
->p
[0].FIELD
),
687 isl_set_copy(pw
->p
[0].set
), max
);
688 for (i
= 1; i
< pw
->n
; ++i
) {
689 isl_qpolynomial
*opt_i
;
690 opt_i
= FN(EL
,opt_on_domain
)(FN(EL
,copy
)(pw
->p
[i
].FIELD
),
691 isl_set_copy(pw
->p
[i
].set
), max
);
693 opt
= isl_qpolynomial_max_cst(opt
, opt_i
);
695 opt
= isl_qpolynomial_min_cst(opt
, opt_i
);
702 __isl_give isl_qpolynomial
*FN(PW
,max
)(__isl_take PW
*pw
)
704 return FN(PW
,opt
)(pw
, 1);
707 __isl_give isl_qpolynomial
*FN(PW
,min
)(__isl_take PW
*pw
)
709 return FN(PW
,opt
)(pw
, 0);
712 __isl_give isl_dim
*FN(PW
,get_dim
)(__isl_keep PW
*pw
)
714 return pw
? isl_dim_copy(pw
->dim
) : NULL
;
717 __isl_give PW
*FN(PW
,reset_dim
)(__isl_take PW
*pw
, __isl_take isl_dim
*dim
)
725 for (i
= 0; i
< pw
->n
; ++i
) {
726 pw
->p
[i
].set
= isl_set_reset_dim(pw
->p
[i
].set
,
730 pw
->p
[i
].FIELD
= FN(EL
,reset_dim
)(pw
->p
[i
].FIELD
,
735 isl_dim_free(pw
->dim
);
745 int FN(PW
,has_equal_dim
)(__isl_keep PW
*pw1
, __isl_keep PW
*pw2
)
750 return isl_dim_equal(pw1
->dim
, pw2
->dim
);
753 __isl_give PW
*FN(PW
,morph
)(__isl_take PW
*pw
, __isl_take isl_morph
*morph
)
761 ctx
= isl_dim_get_ctx(pw
->dim
);
762 isl_assert(ctx
, isl_dim_equal(pw
->dim
, morph
->dom
->dim
),
768 isl_dim_free(pw
->dim
);
769 pw
->dim
= isl_dim_copy(morph
->ran
->dim
);
773 for (i
= 0; i
< pw
->n
; ++i
) {
774 pw
->p
[i
].set
= isl_morph_set(isl_morph_copy(morph
), pw
->p
[i
].set
);
777 pw
->p
[i
].FIELD
= FN(EL
,morph
)(pw
->p
[i
].FIELD
,
778 isl_morph_copy(morph
));
783 isl_morph_free(morph
);
788 isl_morph_free(morph
);
792 int FN(PW
,foreach_piece
)(__isl_keep PW
*pw
,
793 int (*fn
)(__isl_take isl_set
*set
, __isl_take EL
*el
, void *user
),
801 for (i
= 0; i
< pw
->n
; ++i
)
802 if (fn(isl_set_copy(pw
->p
[i
].set
),
803 FN(EL
,copy
)(pw
->p
[i
].FIELD
), user
) < 0)
809 static int any_divs(__isl_keep isl_set
*set
)
816 for (i
= 0; i
< set
->n
; ++i
)
817 if (set
->p
[i
]->n_div
> 0)
823 static int foreach_lifted_subset(__isl_take isl_set
*set
, __isl_take EL
*el
,
824 int (*fn
)(__isl_take isl_set
*set
, __isl_take EL
*el
,
825 void *user
), void *user
)
832 for (i
= 0; i
< set
->n
; ++i
) {
836 lift
= isl_set_from_basic_set(isl_basic_set_copy(set
->p
[i
]));
837 lift
= isl_set_lift(lift
);
839 copy
= FN(EL
,copy
)(el
);
840 copy
= FN(EL
,lift
)(copy
, isl_set_get_dim(lift
));
842 if (fn(lift
, copy
, user
) < 0)
856 int FN(PW
,foreach_lifted_piece
)(__isl_keep PW
*pw
,
857 int (*fn
)(__isl_take isl_set
*set
, __isl_take EL
*el
,
858 void *user
), void *user
)
865 for (i
= 0; i
< pw
->n
; ++i
) {
869 set
= isl_set_copy(pw
->p
[i
].set
);
870 el
= FN(EL
,copy
)(pw
->p
[i
].FIELD
);
871 if (!any_divs(set
)) {
872 if (fn(set
, el
, user
) < 0)
876 if (foreach_lifted_subset(set
, el
, fn
, user
) < 0)
883 __isl_give PW
*FN(PW
,move_dims
)(__isl_take PW
*pw
,
884 enum isl_dim_type dst_type
, unsigned dst_pos
,
885 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
893 pw
->dim
= isl_dim_move(pw
->dim
, dst_type
, dst_pos
, src_type
, src_pos
, n
);
897 for (i
= 0; i
< pw
->n
; ++i
) {
898 pw
->p
[i
].set
= isl_set_move_dims(pw
->p
[i
].set
,
900 src_type
, src_pos
, n
);
903 pw
->p
[i
].FIELD
= FN(EL
,move_dims
)(pw
->p
[i
].FIELD
,
904 dst_type
, dst_pos
, src_type
, src_pos
, n
);
915 __isl_give PW
*FN(PW
,realign
)(__isl_take PW
*pw
, __isl_take isl_reordering
*exp
)
923 for (i
= 0; i
< pw
->n
; ++i
) {
924 pw
->p
[i
].set
= isl_set_realign(pw
->p
[i
].set
,
925 isl_reordering_copy(exp
));
928 pw
->p
[i
].FIELD
= FN(EL
,realign
)(pw
->p
[i
].FIELD
,
929 isl_reordering_copy(exp
));
934 pw
= FN(PW
,reset_dim
)(pw
, isl_dim_copy(exp
->dim
));
936 isl_reordering_free(exp
);
939 isl_reordering_free(exp
);
944 __isl_give PW
*FN(PW
,mul_isl_int
)(__isl_take PW
*pw
, isl_int v
)
948 if (isl_int_is_one(v
))
950 if (pw
&& isl_int_is_zero(v
)) {
952 isl_dim
*dim
= FN(PW
,get_dim
)(pw
);
954 zero
= FN(PW
,zero
)(dim
, pw
->type
);
956 zero
= FN(PW
,zero
)(dim
);
968 if (isl_int_is_neg(v
))
969 pw
->type
= isl_fold_type_negate(pw
->type
);
971 for (i
= 0; i
< pw
->n
; ++i
) {
972 pw
->p
[i
].FIELD
= FN(EL
,mul_isl_int
)(pw
->p
[i
].FIELD
, v
);