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
)
17 isl_assert(dim
->ctx
, n
>= 0, goto error
);
18 pw
= isl_alloc(dim
->ctx
, struct PW
,
19 sizeof(struct PW
) + (n
- 1) * sizeof(S(PW
,piece
)));
37 __isl_give PW
*FN(PW
,zero
)(__isl_take isl_dim
*dim
, enum isl_fold type
)
39 return FN(PW
,alloc_
)(dim
, type
, 0);
42 __isl_give PW
*FN(PW
,zero
)(__isl_take isl_dim
*dim
)
44 return FN(PW
,alloc_
)(dim
, 0);
48 __isl_give PW
*FN(PW
,add_piece
)(__isl_take PW
*pw
,
49 __isl_take isl_set
*set
, __isl_take EL
*el
)
51 if (!pw
|| !set
|| !el
)
54 if (isl_set_plain_is_empty(set
) || FN(EL
,IS_ZERO
)(el
)) {
61 if (pw
->type
!= el
->type
)
62 isl_die(set
->ctx
, isl_error_invalid
, "fold types don't match",
65 isl_assert(set
->ctx
, isl_dim_equal(pw
->dim
, el
->dim
), goto error
);
66 isl_assert(set
->ctx
, pw
->n
< pw
->size
, goto error
);
68 pw
->p
[pw
->n
].set
= set
;
69 pw
->p
[pw
->n
].FIELD
= el
;
81 __isl_give PW
*FN(PW
,alloc
)(enum isl_fold type
,
82 __isl_take isl_set
*set
, __isl_take EL
*el
)
84 __isl_give PW
*FN(PW
,alloc
)(__isl_take isl_set
*set
, __isl_take EL
*el
)
93 pw
= FN(PW
,alloc_
)(isl_set_get_dim(set
), type
, 1);
95 pw
= FN(PW
,alloc_
)(isl_set_get_dim(set
), 1);
98 return FN(PW
,add_piece
)(pw
, set
, el
);
105 __isl_give PW
*FN(PW
,dup
)(__isl_keep PW
*pw
)
114 dup
= FN(PW
,alloc_
)(isl_dim_copy(pw
->dim
), pw
->type
, pw
->n
);
116 dup
= FN(PW
,alloc_
)(isl_dim_copy(pw
->dim
), pw
->n
);
121 for (i
= 0; i
< pw
->n
; ++i
)
122 dup
= FN(PW
,add_piece
)(dup
, isl_set_copy(pw
->p
[i
].set
),
123 FN(EL
,copy
)(pw
->p
[i
].FIELD
));
128 __isl_give PW
*FN(PW
,cow
)(__isl_take PW
*pw
)
136 return FN(PW
,dup
)(pw
);
139 __isl_give PW
*FN(PW
,copy
)(__isl_keep PW
*pw
)
148 void FN(PW
,free
)(__isl_take PW
*pw
)
157 for (i
= 0; i
< pw
->n
; ++i
) {
158 isl_set_free(pw
->p
[i
].set
);
159 FN(EL
,free
)(pw
->p
[i
].FIELD
);
161 isl_dim_free(pw
->dim
);
165 int FN(PW
,is_zero
)(__isl_keep PW
*pw
)
173 __isl_give PW
*FN(PW
,add
)(__isl_take PW
*pw1
, __isl_take PW
*pw2
)
183 if (pw1
->type
!= pw2
->type
)
184 isl_die(pw1
->dim
->ctx
, isl_error_invalid
,
185 "fold types don't match", goto error
);
187 isl_assert(pw1
->dim
->ctx
, isl_dim_equal(pw1
->dim
, pw2
->dim
), goto error
);
189 if (FN(PW
,is_zero
)(pw1
)) {
194 if (FN(PW
,is_zero
)(pw2
)) {
199 n
= (pw1
->n
+ 1) * (pw2
->n
+ 1);
201 res
= FN(PW
,alloc_
)(isl_dim_copy(pw1
->dim
), pw1
->type
, n
);
203 res
= FN(PW
,alloc_
)(isl_dim_copy(pw1
->dim
), n
);
206 for (i
= 0; i
< pw1
->n
; ++i
) {
207 set
= isl_set_copy(pw1
->p
[i
].set
);
208 for (j
= 0; j
< pw2
->n
; ++j
) {
209 struct isl_set
*common
;
211 set
= isl_set_subtract(set
,
212 isl_set_copy(pw2
->p
[j
].set
));
213 common
= isl_set_intersect(isl_set_copy(pw1
->p
[i
].set
),
214 isl_set_copy(pw2
->p
[j
].set
));
215 if (isl_set_plain_is_empty(common
)) {
216 isl_set_free(common
);
220 sum
= FN(EL
,add_on_domain
)(common
,
221 FN(EL
,copy
)(pw1
->p
[i
].FIELD
),
222 FN(EL
,copy
)(pw2
->p
[j
].FIELD
));
224 res
= FN(PW
,add_piece
)(res
, common
, sum
);
226 res
= FN(PW
,add_piece
)(res
, set
, FN(EL
,copy
)(pw1
->p
[i
].FIELD
));
229 for (j
= 0; j
< pw2
->n
; ++j
) {
230 set
= isl_set_copy(pw2
->p
[j
].set
);
231 for (i
= 0; i
< pw1
->n
; ++i
)
232 set
= isl_set_subtract(set
,
233 isl_set_copy(pw1
->p
[i
].set
));
234 res
= FN(PW
,add_piece
)(res
, set
, FN(EL
,copy
)(pw2
->p
[j
].FIELD
));
247 __isl_give PW
*FN(PW
,add_disjoint
)(__isl_take PW
*pw1
, __isl_take PW
*pw2
)
256 if (pw1
->type
!= pw2
->type
)
257 isl_die(pw1
->dim
->ctx
, isl_error_invalid
,
258 "fold types don't match", goto error
);
260 isl_assert(pw1
->dim
->ctx
, isl_dim_equal(pw1
->dim
, pw2
->dim
), goto error
);
262 if (FN(PW
,is_zero
)(pw1
)) {
267 if (FN(PW
,is_zero
)(pw2
)) {
273 res
= FN(PW
,alloc_
)(isl_dim_copy(pw1
->dim
), pw1
->type
, pw1
->n
+ pw2
->n
);
275 res
= FN(PW
,alloc_
)(isl_dim_copy(pw1
->dim
), pw1
->n
+ pw2
->n
);
278 for (i
= 0; i
< pw1
->n
; ++i
)
279 res
= FN(PW
,add_piece
)(res
,
280 isl_set_copy(pw1
->p
[i
].set
),
281 FN(EL
,copy
)(pw1
->p
[i
].FIELD
));
283 for (i
= 0; i
< pw2
->n
; ++i
)
284 res
= FN(PW
,add_piece
)(res
,
285 isl_set_copy(pw2
->p
[i
].set
),
286 FN(EL
,copy
)(pw2
->p
[i
].FIELD
));
298 __isl_give isl_qpolynomial
*FN(PW
,eval
)(__isl_take PW
*pw
,
299 __isl_take isl_point
*pnt
)
307 isl_assert(pnt
->dim
->ctx
, isl_dim_equal(pnt
->dim
, pw
->dim
), goto error
);
309 for (i
= 0; i
< pw
->n
; ++i
) {
310 found
= isl_set_contains_point(pw
->p
[i
].set
, pnt
);
317 qp
= FN(EL
,eval
)(FN(EL
,copy
)(pw
->p
[i
].FIELD
),
318 isl_point_copy(pnt
));
320 qp
= isl_qpolynomial_zero(isl_dim_copy(pw
->dim
));
330 __isl_give isl_set
*FN(PW
,domain
)(__isl_take PW
*pw
)
338 dom
= isl_set_empty(isl_dim_copy(pw
->dim
));
339 for (i
= 0; i
< pw
->n
; ++i
)
340 dom
= isl_set_union_disjoint(dom
, isl_set_copy(pw
->p
[i
].set
));
347 __isl_give PW
*FN(PW
,intersect_domain
)(__isl_take PW
*pw
, __isl_take isl_set
*set
)
363 for (i
= pw
->n
- 1; i
>= 0; --i
) {
365 pw
->p
[i
].set
= isl_set_intersect(pw
->p
[i
].set
, isl_set_copy(set
));
368 aff
= isl_set_affine_hull(isl_set_copy(pw
->p
[i
].set
));
369 pw
->p
[i
].FIELD
= FN(EL
,substitute_equalities
)(pw
->p
[i
].FIELD
,
371 if (isl_set_plain_is_empty(pw
->p
[i
].set
)) {
372 isl_set_free(pw
->p
[i
].set
);
373 FN(EL
,free
)(pw
->p
[i
].FIELD
);
375 pw
->p
[i
] = pw
->p
[pw
->n
- 1];
388 __isl_give PW
*FN(PW
,gist
)(__isl_take PW
*pw
, __isl_take isl_set
*context
)
391 isl_basic_set
*hull
= NULL
;
397 isl_set_free(context
);
401 context
= isl_set_compute_divs(context
);
402 hull
= isl_set_simple_hull(isl_set_copy(context
));
408 for (i
= pw
->n
- 1; i
>= 0; --i
) {
409 pw
->p
[i
].set
= isl_set_intersect(pw
->p
[i
].set
,
410 isl_set_copy(context
));
413 pw
->p
[i
].FIELD
= FN(EL
,gist
)(pw
->p
[i
].FIELD
,
414 isl_set_copy(pw
->p
[i
].set
));
415 pw
->p
[i
].set
= isl_set_gist_basic_set(pw
->p
[i
].set
,
416 isl_basic_set_copy(hull
));
419 if (isl_set_plain_is_empty(pw
->p
[i
].set
)) {
420 isl_set_free(pw
->p
[i
].set
);
421 FN(EL
,free
)(pw
->p
[i
].FIELD
);
423 pw
->p
[i
] = pw
->p
[pw
->n
- 1];
428 isl_basic_set_free(hull
);
429 isl_set_free(context
);
434 isl_basic_set_free(hull
);
435 isl_set_free(context
);
439 __isl_give PW
*FN(PW
,coalesce
)(__isl_take PW
*pw
)
448 for (i
= pw
->n
- 1; i
>= 0; --i
) {
449 for (j
= i
- 1; j
>= 0; --j
) {
450 if (!FN(EL
,plain_is_equal
)(pw
->p
[i
].FIELD
,
453 pw
->p
[j
].set
= isl_set_union(pw
->p
[j
].set
,
455 FN(EL
,free
)(pw
->p
[i
].FIELD
);
457 pw
->p
[i
] = pw
->p
[pw
->n
- 1];
463 pw
->p
[i
].set
= isl_set_coalesce(pw
->p
[i
].set
);
474 isl_ctx
*FN(PW
,get_ctx
)(__isl_keep PW
*pw
)
476 return pw
? pw
->dim
->ctx
: NULL
;
479 int FN(PW
,involves_dims
)(__isl_keep PW
*pw
, enum isl_dim_type type
,
480 unsigned first
, unsigned n
)
486 if (pw
->n
== 0 || n
== 0)
488 for (i
= 0; i
< pw
->n
; ++i
) {
489 int involves
= FN(EL
,involves_dims
)(pw
->p
[i
].FIELD
,
491 if (involves
< 0 || involves
)
493 involves
= isl_set_involves_dims(pw
->p
[i
].set
, type
, first
, n
);
494 if (involves
< 0 || involves
)
500 __isl_give PW
*FN(PW
,set_dim_name
)(__isl_take PW
*pw
,
501 enum isl_dim_type type
, unsigned pos
, const char *s
)
509 pw
->dim
= isl_dim_set_name(pw
->dim
, type
, pos
, s
);
513 for (i
= 0; i
< pw
->n
; ++i
) {
514 pw
->p
[i
].set
= isl_set_set_dim_name(pw
->p
[i
].set
, type
, pos
, s
);
517 pw
->p
[i
].FIELD
= FN(EL
,set_dim_name
)(pw
->p
[i
].FIELD
, type
, pos
, s
);
528 __isl_give PW
*FN(PW
,drop_dims
)(__isl_take PW
*pw
,
529 enum isl_dim_type type
, unsigned first
, unsigned n
)
535 if (n
== 0 && !isl_dim_get_tuple_name(pw
->dim
, type
))
541 pw
->dim
= isl_dim_drop(pw
->dim
, type
, first
, n
);
544 for (i
= 0; i
< pw
->n
; ++i
) {
545 pw
->p
[i
].set
= isl_set_drop(pw
->p
[i
].set
, type
, first
, n
);
548 pw
->p
[i
].FIELD
= FN(EL
,drop_dims
)(pw
->p
[i
].FIELD
, type
, first
, n
);
559 __isl_give PW
*FN(PW
,insert_dims
)(__isl_take PW
*pw
, enum isl_dim_type type
,
560 unsigned first
, unsigned n
)
566 if (n
== 0 && !isl_dim_is_named_or_nested(pw
->dim
, type
))
573 pw
->dim
= isl_dim_insert(pw
->dim
, type
, first
, n
);
577 for (i
= 0; i
< pw
->n
; ++i
) {
578 pw
->p
[i
].set
= isl_set_insert(pw
->p
[i
].set
, type
, first
, n
);
581 pw
->p
[i
].FIELD
= FN(EL
,insert_dims
)(pw
->p
[i
].FIELD
,
593 __isl_give PW
*FN(PW
,fix_dim
)(__isl_take PW
*pw
,
594 enum isl_dim_type type
, unsigned pos
, isl_int v
)
604 for (i
= 0; i
< pw
->n
; ++i
) {
605 pw
->p
[i
].set
= isl_set_fix(pw
->p
[i
].set
, type
, pos
, v
);
616 unsigned FN(PW
,dim
)(__isl_keep PW
*pw
, enum isl_dim_type type
)
618 return pw
? isl_dim_size(pw
->dim
, type
) : 0;
621 __isl_give PW
*FN(PW
,split_dims
)(__isl_take PW
*pw
,
622 enum isl_dim_type type
, unsigned first
, unsigned n
)
636 for (i
= 0; i
< pw
->n
; ++i
) {
637 pw
->p
[i
].set
= isl_set_split_dims(pw
->p
[i
].set
, type
, first
, n
);
648 /* Compute the maximal value attained by the piecewise quasipolynomial
649 * on its domain or zero if the domain is empty.
650 * In the worst case, the domain is scanned completely,
651 * so the domain is assumed to be bounded.
653 __isl_give isl_qpolynomial
*FN(PW
,opt
)(__isl_take PW
*pw
, int max
)
656 isl_qpolynomial
*opt
;
662 isl_dim
*dim
= isl_dim_copy(pw
->dim
);
664 return isl_qpolynomial_zero(dim
);
667 opt
= FN(EL
,opt_on_domain
)(FN(EL
,copy
)(pw
->p
[0].FIELD
),
668 isl_set_copy(pw
->p
[0].set
), max
);
669 for (i
= 1; i
< pw
->n
; ++i
) {
670 isl_qpolynomial
*opt_i
;
671 opt_i
= FN(EL
,opt_on_domain
)(FN(EL
,copy
)(pw
->p
[i
].FIELD
),
672 isl_set_copy(pw
->p
[i
].set
), max
);
674 opt
= isl_qpolynomial_max_cst(opt
, opt_i
);
676 opt
= isl_qpolynomial_min_cst(opt
, opt_i
);
683 __isl_give isl_qpolynomial
*FN(PW
,max
)(__isl_take PW
*pw
)
685 return FN(PW
,opt
)(pw
, 1);
688 __isl_give isl_qpolynomial
*FN(PW
,min
)(__isl_take PW
*pw
)
690 return FN(PW
,opt
)(pw
, 0);
693 __isl_give isl_dim
*FN(PW
,get_dim
)(__isl_keep PW
*pw
)
695 return pw
? isl_dim_copy(pw
->dim
) : NULL
;
698 __isl_give PW
*FN(PW
,reset_dim
)(__isl_take PW
*pw
, __isl_take isl_dim
*dim
)
706 for (i
= 0; i
< pw
->n
; ++i
) {
707 pw
->p
[i
].set
= isl_set_reset_dim(pw
->p
[i
].set
,
711 pw
->p
[i
].FIELD
= FN(EL
,reset_dim
)(pw
->p
[i
].FIELD
,
716 isl_dim_free(pw
->dim
);
726 int FN(PW
,has_equal_dim
)(__isl_keep PW
*pw1
, __isl_keep PW
*pw2
)
731 return isl_dim_equal(pw1
->dim
, pw2
->dim
);
734 __isl_give PW
*FN(PW
,morph
)(__isl_take PW
*pw
, __isl_take isl_morph
*morph
)
741 isl_assert(pw
->dim
->ctx
, isl_dim_equal(pw
->dim
, morph
->dom
->dim
),
747 isl_dim_free(pw
->dim
);
748 pw
->dim
= isl_dim_copy(morph
->ran
->dim
);
752 for (i
= 0; i
< pw
->n
; ++i
) {
753 pw
->p
[i
].set
= isl_morph_set(isl_morph_copy(morph
), pw
->p
[i
].set
);
756 pw
->p
[i
].FIELD
= FN(EL
,morph
)(pw
->p
[i
].FIELD
,
757 isl_morph_copy(morph
));
762 isl_morph_free(morph
);
767 isl_morph_free(morph
);
771 int FN(PW
,foreach_piece
)(__isl_keep PW
*pw
,
772 int (*fn
)(__isl_take isl_set
*set
, __isl_take EL
*el
, void *user
),
780 for (i
= 0; i
< pw
->n
; ++i
)
781 if (fn(isl_set_copy(pw
->p
[i
].set
),
782 FN(EL
,copy
)(pw
->p
[i
].FIELD
), user
) < 0)
788 static int any_divs(__isl_keep isl_set
*set
)
795 for (i
= 0; i
< set
->n
; ++i
)
796 if (set
->p
[i
]->n_div
> 0)
802 static int foreach_lifted_subset(__isl_take isl_set
*set
, __isl_take EL
*el
,
803 int (*fn
)(__isl_take isl_set
*set
, __isl_take EL
*el
,
804 void *user
), void *user
)
811 for (i
= 0; i
< set
->n
; ++i
) {
815 lift
= isl_set_from_basic_set(isl_basic_set_copy(set
->p
[i
]));
816 lift
= isl_set_lift(lift
);
818 copy
= FN(EL
,copy
)(el
);
819 copy
= FN(EL
,lift
)(copy
, isl_set_get_dim(lift
));
821 if (fn(lift
, copy
, user
) < 0)
835 int FN(PW
,foreach_lifted_piece
)(__isl_keep PW
*pw
,
836 int (*fn
)(__isl_take isl_set
*set
, __isl_take EL
*el
,
837 void *user
), void *user
)
844 for (i
= 0; i
< pw
->n
; ++i
) {
848 set
= isl_set_copy(pw
->p
[i
].set
);
849 el
= FN(EL
,copy
)(pw
->p
[i
].FIELD
);
850 if (!any_divs(set
)) {
851 if (fn(set
, el
, user
) < 0)
855 if (foreach_lifted_subset(set
, el
, fn
, user
) < 0)
862 __isl_give PW
*FN(PW
,move_dims
)(__isl_take PW
*pw
,
863 enum isl_dim_type dst_type
, unsigned dst_pos
,
864 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
872 pw
->dim
= isl_dim_move(pw
->dim
, dst_type
, dst_pos
, src_type
, src_pos
, n
);
876 for (i
= 0; i
< pw
->n
; ++i
) {
877 pw
->p
[i
].set
= isl_set_move_dims(pw
->p
[i
].set
,
879 src_type
, src_pos
, n
);
882 pw
->p
[i
].FIELD
= FN(EL
,move_dims
)(pw
->p
[i
].FIELD
,
883 dst_type
, dst_pos
, src_type
, src_pos
, n
);
894 __isl_give PW
*FN(PW
,realign
)(__isl_take PW
*pw
, __isl_take isl_reordering
*exp
)
902 for (i
= 0; i
< pw
->n
; ++i
) {
903 pw
->p
[i
].set
= isl_set_realign(pw
->p
[i
].set
,
904 isl_reordering_copy(exp
));
907 pw
->p
[i
].FIELD
= FN(EL
,realign
)(pw
->p
[i
].FIELD
,
908 isl_reordering_copy(exp
));
913 pw
= FN(PW
,reset_dim
)(pw
, isl_dim_copy(exp
->dim
));
915 isl_reordering_free(exp
);
918 isl_reordering_free(exp
);
923 __isl_give PW
*FN(PW
,mul_isl_int
)(__isl_take PW
*pw
, isl_int v
)
927 if (isl_int_is_one(v
))
929 if (pw
&& isl_int_is_zero(v
)) {
931 isl_dim
*dim
= FN(PW
,get_dim
)(pw
);
933 zero
= FN(PW
,zero
)(dim
, pw
->type
);
935 zero
= FN(PW
,zero
)(dim
);
947 if (isl_int_is_neg(v
))
948 pw
->type
= isl_fold_type_negate(pw
->type
);
950 for (i
= 0; i
< pw
->n
; ++i
) {
951 pw
->p
[i
].FIELD
= FN(EL
,mul_isl_int
)(pw
->p
[i
].FIELD
, v
);